FunctionDirichletBC

Imposes the essential boundary condition $var element = document.getElementById("moose-equation-b7e3f093-44df-4ca4-a1f2-5b304064f1f2");katex.render("u=g(t,\\vec{x})", element, {displayMode:false,throwOnError:false,macros:{"\\eqc":"\\,,","\\eqp":"\\,.","\\pd":"\\frac{\\partial #1}{\\partial #2}","\\pr":"\\left(#1\\right)","\\ddt":"\\frac{d #1}{d t}"}});$ , where $var element = document.getElementById("moose-equation-26471623-8ce4-4253-bc44-45be870263f7");katex.render("g", element, {displayMode:false,throwOnError:false,macros:{"\\eqc":"\\,,","\\eqp":"\\,.","\\pd":"\\frac{\\partial #1}{\\partial #2}","\\pr":"\\left(#1\\right)","\\ddt":"\\frac{d #1}{d t}"}});$ is a (possibly) time and space-dependent MOOSE Function.

Description

FunctionDirichletBC is a generalization of DirichletBC which imposes a possibly temporally- and spatially-dependent value defined by a MOOSE Function object on a particular set of degrees of freedom (DOFs) defined by the boundary parameter. That is, for a PDE of the form

$var element = document.getElementById("moose-equation-9013a1fb-8e1e-4324-88ed-bfa5de6ae106");katex.render("\\begin{aligned} -\\nabla^2 u &= f && \\quad \\in \\Omega \\\\ u &= g(t,\\vec{x}) && \\quad \\in \\partial \\Omega_D \\\\ \\frac{\\partial u}{\\partial n} &= h(t,\\vec{x}) && \\quad \\in \\partial \\Omega_N \\end{aligned}", element, {displayMode:true,throwOnError:false,macros:{"\\eqc":"\\,,","\\eqp":"\\,.","\\pd":"\\frac{\\partial #1}{\\partial #2}","\\pr":"\\left(#1\\right)","\\ddt":"\\frac{d #1}{d t}"}});$

where $var element = document.getElementById("moose-equation-e59535ef-4cb9-4a3c-81fb-f0150eca3165");katex.render("\\Omega \\subset \\mathbb{R}^n", element, {displayMode:false,throwOnError:false,macros:{"\\eqc":"\\,,","\\eqp":"\\,.","\\pd":"\\frac{\\partial #1}{\\partial #2}","\\pr":"\\left(#1\\right)","\\ddt":"\\frac{d #1}{d t}"}});$ is the domain, and $var element = document.getElementById("moose-equation-e3825475-61b4-4882-91ab-004697ffdc89");katex.render("\\partial \\Omega = \\partial \\Omega_D \\cup \\partial \\Omega_N", element, {displayMode:false,throwOnError:false,macros:{"\\eqc":"\\,,","\\eqp":"\\,.","\\pd":"\\frac{\\partial #1}{\\partial #2}","\\pr":"\\left(#1\\right)","\\ddt":"\\frac{d #1}{d t}"}});$ is its boundary, a FunctionDirichletBC object can be used to impose the condition (2) if the function is well-defined for $var element = document.getElementById("moose-equation-731b4a5a-dc4b-45b1-8d71-da6dde3489c6");katex.render("\\vec{x} \\in \\partial \\Omega_D", element, {displayMode:false,throwOnError:false,macros:{"\\eqc":"\\,,","\\eqp":"\\,.","\\pd":"\\frac{\\partial #1}{\\partial #2}","\\pr":"\\left(#1\\right)","\\ddt":"\\frac{d #1}{d t}"}});$ . In this case, the function parameter corresponds to a MOOSE Function object which represents the mathematical function $var element = document.getElementById("moose-equation-1014cca2-bfca-4eb6-8215-cb5f6edb0bfc");katex.render("g(t,\\vec{x})", element, {displayMode:false,throwOnError:false,macros:{"\\eqc":"\\,,","\\eqp":"\\,.","\\pd":"\\frac{\\partial #1}{\\partial #2}","\\pr":"\\left(#1\\right)","\\ddt":"\\frac{d #1}{d t}"}});$ , and the user must define one or more sidesets corresponding to the boundary subset $var element = document.getElementById("moose-equation-2c82abdf-7b1e-4040-bd2d-18c4ea75c5f9");katex.render("\\partial \\Omega_D", element, {displayMode:false,throwOnError:false,macros:{"\\eqc":"\\,,","\\eqp":"\\,.","\\pd":"\\frac{\\partial #1}{\\partial #2}","\\pr":"\\left(#1\\right)","\\ddt":"\\frac{d #1}{d t}"}});$ via the boundary parameter.

Preset boundary conditions

With the parameter preset = true, the value of the boundary condition is applied before the solve begins. With preset = false, the boundary condition is only enforced as the solve progresses. In most situations, presetting the boundary condition is better.

Example Input Syntax

[BCs<<<{"href": "../../syntax/BCs/index.html"}>>>]
  [./all]
    type = FunctionDirichletBC<<<{"description": "Imposes the essential boundary condition $u=g(t,\\vec{x})$, where $g$ is a (possibly) time and space-dependent MOOSE Function.", "href": "FunctionDirichletBC.html"}>>>
    variable<<<{"description": "The name of the variable that this residual object operates on"}>>> = u
    boundary<<<{"description": "The list of boundary IDs from the mesh where this object applies"}>>> = 'left right'
    function<<<{"description": "The forcing function."}>>> = bc_func
  [../]
[]

Input Parameters

boundaryThe list of boundary IDs from the mesh where this object applies
C++ Type:std::vector<BoundaryName>
Controllable:No
Description:The list of boundary IDs from the mesh where this object applies
functionThe forcing function.
C++ Type:FunctionName
Unit:(no unit assumed)
Controllable:No
Description:The forcing function.
variableThe name of the variable that this residual object operates on
C++ Type:NonlinearVariableName
Unit:(no unit assumed)
Controllable:No
Description:The name of the variable that this residual object operates on

Required Parameters

diag_save_inThe name of auxiliary variables to save this BC's diagonal jacobian contributions to. Everything about that variable must match everything about this variable (the type, what blocks it's on, etc.)
C++ Type:std::vector<AuxVariableName>
Unit:(no unit assumed)
Controllable:No
Description:The name of auxiliary variables to save this BC's diagonal jacobian contributions to. Everything about that variable must match everything about this variable (the type, what blocks it's on, etc.)
displacementsThe displacements
C++ Type:std::vector<VariableName>
Unit:(no unit assumed)
Controllable:No
Description:The displacements
matrix_onlyFalseWhether this object is only doing assembly to matrices (no vectors)
Default:False
C++ Type:bool
Controllable:No
Description:Whether this object is only doing assembly to matrices (no vectors)
presetTrueWhether or not to preset the BC (apply the value before the solve begins).
Default:True
C++ Type:bool
Controllable:No
Description:Whether or not to preset the BC (apply the value before the solve begins).
save_inThe name of auxiliary variables to save this BC's residual contributions to. Everything about that variable must match everything about this variable (the type, what blocks it's on, etc.)
C++ Type:std::vector<AuxVariableName>
Unit:(no unit assumed)
Controllable:No
Description:The name of auxiliary variables to save this BC's residual contributions to. Everything about that variable must match everything about this variable (the type, what blocks it's on, etc.)

Optional Parameters

absolute_value_vector_tagsThe tags for the vectors this residual object should fill with the absolute value of the residual contribution
C++ Type:std::vector<TagName>
Controllable:No
Description:The tags for the vectors this residual object should fill with the absolute value of the residual contribution
extra_matrix_tagsThe extra tags for the matrices this Kernel should fill
C++ Type:std::vector<TagName>
Controllable:No
Description:The extra tags for the matrices this Kernel should fill
extra_vector_tagsThe extra tags for the vectors this Kernel should fill
C++ Type:std::vector<TagName>
Controllable:No
Description:The extra tags for the vectors this Kernel should fill

Contribution To Tagged Field Data Parameters

control_tagsAdds user-defined labels for accessing object parameters via control logic.
C++ Type:std::vector<std::string>
Controllable:No
Description:Adds user-defined labels for accessing object parameters via control logic.
enableTrueSet the enabled status of the MooseObject.
Default:True
C++ Type:bool
Controllable:Yes
Description:Set the enabled status of the MooseObject.
implicitTrueDetermines whether this object is calculated using an implicit or explicit form
Default:True
C++ Type:bool
Controllable:No
Description:Determines whether this object is calculated using an implicit or explicit form
seed0The seed for the master random number generator
Default:0
C++ Type:unsigned int
Controllable:No
Description:The seed for the master random number generator
use_displaced_meshFalseWhether or not this object should use the displaced mesh for computation. Note that in the case this is true but no displacements are provided in the Mesh block the undisplaced mesh will still be used.
Default:False
C++ Type:bool
Controllable:No
Description:Whether or not this object should use the displaced mesh for computation. Note that in the case this is true but no displacements are provided in the Mesh block the undisplaced mesh will still be used.

Advanced Parameters

matrix_tagssystem timeThe tag for the matrices this Kernel should fill
Default:system time
C++ Type:MultiMooseEnum
Options:nontime, system, time
Controllable:No
Description:The tag for the matrices this Kernel should fill
vector_tagsresidualThe tag for the vectors this Kernel should fill
Default:residual
C++ Type:MultiMooseEnum
Options:nontime, time, residual
Controllable:No
Description:The tag for the vectors this Kernel should fill

Tagging Parameters

Input Files

(modules/navier_stokes/test/tests/finite_element/ins/nonzero-malloc/test.i)
(modules/contact/test/tests/mechanical_constraint/glued_kinematic.i)
(test/tests/preconditioners/smp/smp_single_adapt_test.i)
(modules/solid_mechanics/test/tests/crystal_plasticity/user_object_based/patch_recovery.i)
(modules/solid_mechanics/test/tests/tensile/planar4.i)
(modules/solid_mechanics/test/tests/crystal_plasticity/monolithic_material_based/crysp_substep.i)
(test/tests/bcs/periodic/auto_dir_repeated_id.i)
(modules/solid_mechanics/test/tests/smeared_cracking/cracking_xyz.i)
(modules/solid_mechanics/test/tests/multi/three_surface13.i)
(modules/solid_mechanics/test/tests/mean_cap/small_deform2.i)
(modules/solid_mechanics/test/tests/lagrangian/cartesian/total/convergence/3D/dirichlet.i)
(modules/contact/test/tests/bouncing-block-contact/grid-sequencing/grid-sequencing.i)
(modules/contact/test/tests/pdass_problems/cylinder_friction_penalty_frictional_al_action_amg_tight.i)
(test/tests/geomsearch/3d_moving_penetration/pl_test2qtt.i)
(modules/solid_mechanics/test/tests/hyperelastic_viscoplastic/one_elem_linear_harden.i)
(test/tests/geomsearch/2d_moving_penetration/pl_test4qnns.i)
(modules/solid_mechanics/test/tests/1D_axisymmetric/axisymm_gps_small.i)
(modules/solid_mechanics/test/tests/smeared_cracking/cracking_rz.i)
(modules/xfem/test/tests/solid_mechanics_basic/crack_propagation_2d.i)
(modules/solid_mechanics/test/tests/poro/vol_expansion_action.i)
(modules/navier_stokes/test/tests/finite_element/ins/jeffery_hamel/wedge_natural.i)
(modules/solid_mechanics/test/tests/multi/three_surface12.i)
(modules/solid_mechanics/test/tests/crystal_plasticity/hcp_single_crystal/update_method_hcp_aprismatic_active.i)
(modules/peridynamics/test/tests/failure_tests/2D_bond_status_convergence_BPD.i)
(modules/xfem/test/tests/nucleation_uo/nucleate_edge_bulk_crack_2d.i)
(test/tests/time_steppers/timesequence_stepper/csvtimesequence.i)
(test/tests/userobjects/nodal_patch_recovery/nodal_patch_recovery.i)
(modules/thermal_hydraulics/test/tests/components/hs_boundary_external_app_convection/plate.parent.i)
(modules/contact/test/tests/mortar_aux_kernels/block-dynamics-aux-fretting-wear-test.i)
(modules/solid_mechanics/test/tests/capped_weak_plane/small_deform1.i)
(modules/solid_mechanics/test/tests/capped_weak_plane/small_deform_cosserat2.i)
(modules/navier_stokes/test/tests/finite_element/ins/mms/pspg/pspg_mms_test.i)
(modules/contact/test/tests/verification/hertz_cyl/half_symm_q4/hertz_cyl_half_1deg_template3.i)
(test/tests/misc/check_error/old_integrity_check.i)
(modules/solid_mechanics/test/tests/elem_prop_read_user_object/prop_elem_read.i)
(modules/contact/test/tests/mortar_aux_kernels/block-dynamics-aux-wear.i)
(modules/solid_mechanics/tutorials/basics/part_3_1.i)
(modules/combined/test/tests/elastic_patch/elastic_patch_plane_strain.i)
(modules/contact/test/tests/pdass_problems/cylinder_friction_penalty_normal_al_backup.i)
(modules/contact/test/tests/sliding_block/in_and_out/frictionless_lm.i)
(modules/fsi/test/tests/2d-small-strain-transient/fsi_flat_channel.i)
(modules/solid_mechanics/test/tests/rate_independent_cyclic_hardening/nonlin_isokinharden_symmetric_strain_controlled.i)
(modules/solid_mechanics/test/tests/finite_strain_tensor_mechanics_tests/elastic_rotation.i)
(modules/solid_mechanics/test/tests/umat/plane_strain/plane_strain.i)
(test/tests/geomsearch/3d_moving_penetration_smoothing/pl_test4qns.i)
(modules/solid_mechanics/test/tests/lagrangian/materials/convergence/hyperelastic_J2_plastic.i)
(examples/ex13_functions/ex13.i)
(modules/solid_mechanics/tutorials/basics/part_2.4.i)
(modules/navier_stokes/test/tests/finite_element/ins/velocity_channel/velocity_inletBC_by_parts.i)
(test/tests/postprocessors/side_extreme_value/nonlinear_variable.i)
(modules/solid_mechanics/test/tests/uel/tensile_uel_umat_moose.i)
(modules/solid_mechanics/test/tests/mohr_coulomb/small_deform_hard3.i)
(test/tests/time_steppers/timesequence_stepper/timesequence.i)
(modules/solid_mechanics/test/tests/multi/three_surface00.i)
(test/tests/controls/time_periods/bcs/bcs.i)
(modules/contact/test/tests/mortar_tm/2d/frictionless_first/finite.i)
(modules/contact/test/tests/dual_mortar/dm_mechanical_contact.i)
(test/tests/outputs/residual/output_residual_test.i)
(modules/xfem/test/tests/nucleation_uo/nucleate_bulkCrack.i)
(test/tests/restart/restart_steady_from_transient/transient.i)
(modules/stochastic_tools/test/tests/actions/parameter_study_action/sub_not_controllable.i)
(modules/navier_stokes/test/tests/finite_element/ins/lid_driven/lid_driven_stabilized.i)
(modules/solid_mechanics/test/tests/crystal_plasticity/user_object_based/save_euler.i)
(modules/solid_mechanics/test/tests/elem_prop_read_user_object/prop_grain_read.i)
(test/tests/utils/2d_linear_interpolation/xyz_error.i)
(modules/solid_mechanics/test/tests/hyperelastic_viscoplastic/one_elem_base.i)
(test/tests/misc/check_error/bad_parsed_function_vars.i)
(modules/contact/test/tests/hertz_spherical/hertz_contact.i)
(test/tests/time_integrators/rk-2/2d-quadratic.i)
(modules/contact/test/tests/3d-mortar-contact/frictionless-mortar-3d_pg.i)
(test/tests/userobjects/internal_side_user_object/internal_side_user_object_two_materials.i)
(test/tests/mesh/adapt/initial_adaptivity_test.i)
(modules/contact/test/tests/mortar_dynamics/block-dynamics-action.i)
(modules/combined/test/tests/power_law_hardening/PowerLawHardening.i)
(modules/navier_stokes/test/tests/finite_element/ins/velocity_channel/traction-supg.i)
(modules/contact/test/tests/mortar_dynamics/frictional-mortar-3d-dynamics.i)
(modules/solid_mechanics/test/tests/capped_drucker_prager/random.i)
(modules/solid_mechanics/test/tests/uel/small_test_umat_states_fields_gradient.i)
(test/tests/variables/fe_monomial_const/monomial-const-1d.i)
(modules/solid_mechanics/test/tests/tensile/small_deform1_update_version.i)
(modules/contact/test/tests/verification/patch_tests/single_pnt_2d/single_point_2d_frictional.i)
(modules/contact/test/tests/sliding_block/in_and_out/frictionless_penalty.i)
(modules/solid_mechanics/test/tests/capped_mohr_coulomb/small_deform1_cosserat.i)
(modules/navier_stokes/test/tests/finite_element/ins/lid_driven/lid_driven.i)
(modules/solid_mechanics/test/tests/weak_plane_shear/large_deform3.i)
(test/tests/bcs/nodal_normals/cylinder_hexes_2nd.i)
(modules/heat_transfer/test/tests/gap_heat_transfer_mortar/gap_heat_transfer_radiation_test.i)
(modules/solid_mechanics/test/tests/mean_cap_TC/random01.i)
(modules/solid_mechanics/examples/uexternaldb_coupling/test.i)
(modules/solid_mechanics/test/tests/capped_mohr_coulomb/small_deform11.i)
(modules/solid_mechanics/test/tests/multi/six_surface14.i)
(modules/solid_mechanics/test/tests/multi/three_surface02.i)
(modules/solid_mechanics/test/tests/drucker_prager/small_deform3_outer_tip.i)
(test/tests/geomsearch/2d_moving_penetration/pl_test1q.i)
(modules/solid_mechanics/test/tests/anisotropic_patch/anisotropic_patch_test.i)
(modules/solid_mechanics/test/tests/crystal_plasticity/stress_update_material_based/bicrystal_test.i)
(modules/combined/test/tests/combined_plasticity_temperature/plasticity_temperature_dep_yield.i)
(test/tests/geomsearch/3d_moving_penetration_smoothing/pl_test4nns.i)
(modules/solid_mechanics/test/tests/mohr_coulomb/small_deform_hard2.i)
(modules/solid_mechanics/test/tests/capped_mohr_coulomb/small_deform7.i)
(test/tests/misc/initial_solution_copy/solutions_equal.i)
(python/mms/test/mms_temporal.i)
(modules/contact/test/tests/frictional/single_point_2d/single_point_2d_tp.i)
(modules/solid_mechanics/test/tests/capped_mohr_coulomb/small_deform9_cosserat.i)
(modules/solid_mechanics/test/tests/weak_plane_tensile/large_deform2.i)
(modules/solid_mechanics/test/tests/lagrangian/materials/correctness/stvenantkirchhoff.i)
(test/tests/misc/check_error/uo_pps_name_collision_test.i)
(modules/contact/test/tests/mortar_aux_kernels/block-dynamics-aux-fretting-wear-test-action.i)
(modules/combined/test/tests/elastic_patch/ad_elastic_patch_rz_nonlinear.i)
(modules/solid_mechanics/test/tests/tensile/small_deform_hard3_update_version.i)
(modules/solid_mechanics/examples/hyper_elastic_test.i)
(modules/contact/test/tests/verification/hertz_cyl/half_symm_q8/hertz_cyl_half_1deg_template1.i)
(modules/heat_transfer/test/tests/heat_conduction/min_gap/min_gap.i)
(modules/fsi/test/tests/fsi_acoustics/1D_struc_acoustic/1D_struc_acoustic.i)
(test/tests/outputs/debug/show_var_residual_norms.i)
(modules/combined/test/tests/phase_field_fracture/void2d_iso.i)
(test/tests/predictors/simple/predictor_test.i)
(test/tests/time_integrators/explicit-euler/ee-2d-linear.i)
(test/tests/geomsearch/3d_moving_penetration_smoothing/pl_test4ns.i)
(modules/solid_mechanics/test/tests/crystal_plasticity/twinning/only_twinning_fcc.i)
(modules/peridynamics/test/tests/failure_tests/2D_bond_status_convergence_H1NOSPD.i)
(modules/heat_transfer/tutorials/introduction/therm_step03.i)
(examples/ex14_pps/ex14.i)
(framework/contrib/hit/test/input.i)
(modules/navier_stokes/test/tests/finite_element/ins/RZ_cone/RZ_cone_by_parts.i)
(modules/solid_mechanics/test/tests/lagrangian/materials/correctness/hyperelastic_J2_plastic.i)
(modules/solid_mechanics/test/tests/tensile/planar2.i)
(modules/heat_transfer/test/tests/truss_heat_conduction/strip.i)
(modules/solid_mechanics/test/tests/tensile/planar7.i)
(modules/solid_mechanics/test/tests/weak_plane_shear/large_deform4.i)
(modules/porous_flow/test/tests/poro_elasticity/mandel_constM.i)
(test/tests/time_steppers/timesequence_stepper/timesequence_restart3.i)
(modules/heat_transfer/test/tests/gap_heat_transfer_htonly/cyl2D_xz.i)
(modules/solid_mechanics/test/tests/lagrangian/axisymmetric_cylindrical/total/patch/small.i)
(modules/solid_mechanics/test/tests/eigenstrain/reducedOrderRZLinearConstant.i)
(modules/solid_mechanics/test/tests/weak_plane_tensile/large_deform1.i)
(modules/contact/test/tests/sliding_block/edge_dropping/two_equal_blocks_slide_3d.i)
(modules/contact/test/tests/mortar_tm/2d/frictionless_second/small.i)
(modules/solid_mechanics/test/tests/jacobian_damper/cube_load_undisplaced.i)
(modules/contact/test/tests/sliding_block/edge_dropping/two_equal_blocks_slide_2d.i)
(modules/contact/test/tests/mortar_cartesian_lms/frictionless-mortar-3d-friction.i)
(modules/contact/test/tests/mechanical_constraint/frictionless_kinematic_gap_offsets.i)
(modules/navier_stokes/test/tests/finite_element/ins/RZ_cone/RZ_cone_no_parts.i)
(modules/contact/test/tests/cohesive_zone_model/mortar_czm_analysis.i)
(modules/contact/test/tests/mortar_cartesian_lms/cylinder_friction_cartesian_pg.i)
(test/tests/time_steppers/postprocessor_dt/postprocessor_dt.i)
(test/tests/geomsearch/3d_moving_penetration/pl_test4.i)
(modules/solid_mechanics/test/tests/crystal_plasticity/user_object_based/user_object.i)
(test/tests/postprocessors/element_vec_l2_error_pps/element_vec_l2_error.i)
(modules/solid_mechanics/test/tests/lagrangian/cartesian/total/planar/generalized_plane_strain/pull_2D.i)
(modules/contact/test/tests/fieldsplit/2blocks3d.i)
(modules/solid_mechanics/test/tests/smeared_cracking/cracking_exponential.i)
(test/tests/geomsearch/3d_moving_penetration/pl_test2q.i)
(modules/stochastic_tools/examples/libtorch_drl_control/libtorch_drl_control_sub.i)
(modules/solid_mechanics/test/tests/capped_weak_plane/small_deform_cosserat1.i)
(test/tests/time_integrators/explicit-euler/ee-1d-linear.i)
(test/tests/geomsearch/2d_moving_penetration/pl_test2.i)
(test/tests/geomsearch/3d_moving_penetration_smoothing/pl_test3nns.i)
(test/tests/postprocessors/side_extreme_value/aux_nodal.i)
(test/tests/mesh/mesh_generation/disc_sector_deprecated.i)
(modules/fluid_properties/test/tests/stiffened_gas/test.i)
(test/tests/geomsearch/3d_moving_penetration/pl_test3qtt.i)
(modules/solid_mechanics/test/tests/lagrangian/materials/kinematic_check/strain_check.i)
(test/tests/geomsearch/2d_moving_penetration/restart.i)
(modules/contact/test/tests/dual_mortar/dm_mechanical_contact_precon.i)
(modules/heat_transfer/test/tests/gap_heat_transfer_htonly/sphere2DRZ.i)
(modules/solid_mechanics/examples/coal_mining/cosserat_mc_only.i)
(modules/solid_mechanics/test/tests/capped_weak_plane/small_deform_inclined2.i)
(modules/solid_mechanics/test/tests/weak_plane_shear/large_deform1.i)
(modules/solid_mechanics/test/tests/uel/small.i)
(modules/solid_mechanics/test/tests/tensile/small_deform3.i)
(modules/peridynamics/test/tests/failure_tests/2D_singular_shape_tensor_H1NOSPD.i)
(test/tests/executioners/transient_sync_time/transient_time_interval_output_test.i)
(modules/solid_mechanics/test/tests/drucker_prager/small_deform3_inner_edge.i)
(modules/combined/test/tests/thermal_conductivity_temperature_function_test/thermal_conductivity_temperature_function_test.i)
(test/tests/mesh/mesh_generation/annulus_sector.i)
(test/tests/postprocessors/interface_value/interface_fe_variable_value_postprocessor.i)
(modules/contact/test/tests/sliding_block/sliding/frictionless_aug.i)
(modules/solid_mechanics/test/tests/capped_drucker_prager/small_deform3_native.i)
(modules/xfem/test/tests/moving_interface/verification/2D_rz_lsdep1mat.i)
(modules/solid_mechanics/test/tests/uel/small_test.i)
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Child Objects

(modules/functional_expansion_tools/include/bcs/FXValueBC.h)

(test/tests/bcs/function_dirichlet_bc/test.i)

###########################################################
# This is a test of Boundary Condition System. The
# FunctionDirichletBC is used to contribute the residuals
# to the boundary term operators in the weak form.
#
# @Requirement F3.40
###########################################################


[Mesh]
  [./square]
    type = GeneratedMeshGenerator
    dim = 2
    nx = 32
    ny = 32
  [../]
[]

[Variables]
  [./u]
  [../]
[]

[Functions]
  [./ff_1]
    type = ParsedFunction
    expression = alpha*alpha*pi
    symbol_names = 'alpha'
    symbol_values = '16'
  [../]

  [./ff_2]
    type = ParsedFunction
    expression = pi*sin(alpha*pi*x)
    symbol_names = 'alpha'
    symbol_values = '16'
  [../]

  [./forcing_func]
    type = CompositeFunction
    functions = 'ff_1 ff_2'
  [../]

  [./bc_func]
    type = ParsedFunction
    expression = sin(alpha*pi*x)
    symbol_names = 'alpha'
    symbol_values = '16'
  [../]
[]

[Kernels]
  [./diff]
    type = Diffusion
    variable = u
  [../]
  [./forcing]
    type = BodyForce
    variable = u
    function = forcing_func
  [../]
[]

[BCs]
  [./all]
    type = FunctionDirichletBC
    variable = u
    boundary = 'left right'
    function = bc_func
  [../]
[]

[Executioner]
  type = Steady
  nl_rel_tol = 1e-12
[]

[Outputs]
  execute_on = 'timestep_end'
  exodus = true
[]

(modules/navier_stokes/test/tests/finite_element/ins/nonzero-malloc/test.i)

[GlobalParams]
  gravity = '0 0 0'
  pspg = true
[]

[Mesh]
  [gen]
    type = GeneratedMeshGenerator
    dim = 2
    xmin = 0
    xmax = 1.0
    ymin = 0
    ymax = 1.0
    nx = 5
    ny = 5
  []
  [./corner_node]
    type = ExtraNodesetGenerator
    new_boundary = 'pinned_node'
    nodes = '0'
    input = gen
  [../]
[]

[Variables]
  [./vel_x]
  [../]

  [./vel_y]
  [../]

  [./T]
    [./InitialCondition]
      type = ConstantIC
      value = 1.0
    [../]
  [../]

  [./p]
  [../]
[]

[Kernels]
  # mass
  [./mass]
    type = INSMass
    variable = p
    u = vel_x
    v = vel_y
    pressure = p
  [../]

  # x-momentum, time
  [./x_momentum_time]
    type = INSMomentumTimeDerivative
    variable = vel_x
  [../]

  # x-momentum, space
  [./x_momentum_space]
    type = INSMomentumLaplaceForm
    variable = vel_x
    u = vel_x
    v = vel_y
    pressure = p
    component = 0
  [../]

  # y-momentum, time
  [./y_momentum_time]
    type = INSMomentumTimeDerivative
    variable = vel_y
  [../]

  # y-momentum, space
  [./y_momentum_space]
    type = INSMomentumLaplaceForm
    variable = vel_y
    u = vel_x
    v = vel_y
    pressure = p
    component = 1
  [../]

 # temperature
 [./temperature_time]
   type = INSTemperatureTimeDerivative
   variable = T
 [../]

 [./temperature_space]
   type = INSTemperature
   variable = T
   u = vel_x
   v = vel_y
 [../]

  [malloc]
    type = MallocKernel
    # Variable choice doesn't matter
    variable = vel_x
  []
[]

[BCs]
  [./x_no_slip]
    type = DirichletBC
    variable = vel_x
    boundary = 'bottom right left'
    value = 0.0
  [../]

  [./lid]
    type = FunctionDirichletBC
    variable = vel_x
    boundary = 'top'
    function = 'lid_function'
  [../]

  [./y_no_slip]
    type = DirichletBC
    variable = vel_y
    boundary = 'bottom right top left'
    value = 0.0
  [../]

  [./T_hot]
    type = DirichletBC
    variable = T
    boundary = 'bottom'
    value = 1
  [../]

  [./T_cold]
    type = DirichletBC
    variable = T
    boundary = 'top'
    value = 0
  [../]

  [./pressure_pin]
    type = DirichletBC
    variable = p
    boundary = 'pinned_node'
    value = 0
  [../]
[]

[Materials]
  [./const]
    type = GenericConstantMaterial
    block = 0
    prop_names = 'rho mu cp k'
    prop_values = '1  1  1  .01'
  [../]
[]

[Functions]
  [./lid_function]
    # We pick a function that is exactly represented in the velocity
    # space so that the Dirichlet conditions are the same regardless
    # of the mesh spacing.
    type = ParsedFunction
    expression = '4*x*(1-x)'
  [../]
[]

[Executioner]
  type = Transient
  num_steps = 5
  dt = .5
  dtmin = .5
  petsc_options_iname = '-pc_type -pc_asm_overlap -sub_pc_type -sub_pc_factor_levels'
  petsc_options_value = 'asm      2               ilu          4'
  line_search = 'none'
  nl_rel_tol = 1e-12
  nl_abs_tol = 1e-13
  nl_max_its = 6
  l_tol = 1e-6
  l_max_its = 500
[]

[Outputs]
  file_base = lid_driven_out
  perf_graph = true
[]

(modules/contact/test/tests/mechanical_constraint/glued_kinematic.i)

[Mesh]
  file = blocks_2d_nogap.e
[]

[GlobalParams]
  volumetric_locking_correction = false
  displacements = 'disp_x disp_y'
[]

[AuxVariables]
  [./penetration]
  [../]
  [./inc_slip_x]
  [../]
  [./inc_slip_y]
  [../]
  [./accum_slip_x]
  [../]
  [./accum_slip_y]
  [../]
[]

[Functions]
  [./vertical_movement]
    type = ParsedFunction
    expression = -t
  [../]
[]

[Physics/SolidMechanics/QuasiStatic]
  [./all]
    add_variables = true
    strain = FINITE
  [../]
[]

[AuxKernels]
  [./zeroslip_x]
    type = ConstantAux
    variable = inc_slip_x
    boundary = 3
    execute_on = timestep_begin
    value = 0.0
  [../]
  [./zeroslip_y]
    type = ConstantAux
    variable = inc_slip_y
    boundary = 3
    execute_on = timestep_begin
    value = 0.0
  [../]
  [./accum_slip_x]
    type = AccumulateAux
    variable = accum_slip_x
    accumulate_from_variable = inc_slip_x
    execute_on = timestep_end
  [../]
  [./accum_slip_y]
    type = AccumulateAux
    variable = accum_slip_y
    accumulate_from_variable = inc_slip_y
    execute_on = timestep_end
  [../]
  [./penetration]
    type = PenetrationAux
    variable = penetration
    boundary = 3
    paired_boundary = 2
  [../]
[]

[BCs]
  [./left_x]
    type = DirichletBC
    variable = disp_x
    boundary = 1
    value = 0.0
  [../]
  [./left_y]
    type = DirichletBC
    variable = disp_y
    boundary = 1
    value = 0.0
  [../]
  [./right_x]
    type = DirichletBC
    variable = disp_x
    boundary = 4
    #Initial gap is 0.01
    value = -0.01
  [../]
  [./right_y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 4
    function = vertical_movement
  [../]
[]

[Materials]
  [./left]
    type = ComputeIsotropicElasticityTensor
    block = '1'
    youngs_modulus = 1e7
    poissons_ratio = 0.3
  [../]
  [./right]
    type = ComputeIsotropicElasticityTensor
    block = '2'
    youngs_modulus = 1e6
    poissons_ratio = 0.3
  [../]
  [./stress]
    type = ComputeFiniteStrainElasticStress
    block = '1 2'
  [../]
[]

[Executioner]
  type = Transient

  solve_type = 'PJFNK'

  petsc_options_iname = '-pc_type'
  petsc_options_value = 'lu'

  line_search = 'none'

  l_max_its = 100
  nl_max_its = 1000
  dt = 0.01
  end_time = 0.10
  num_steps = 1000
  l_tol = 1e-6
  nl_rel_tol = 1e-10
  nl_abs_tol = 1e-8
  dtmin = 0.01

  [./Predictor]
    type = SimplePredictor
    scale = 1.0
  [../]
[]

[Outputs]
  [./out]
    type = Exodus
    elemental_as_nodal = true
  [../]
  [./console]
    type = Console
    max_rows = 5
  [../]
[]

[Contact]
  [./leftright]
    primary = 2
    secondary = 3
    model = glued
    penalty = 1e+6
  [../]
[]

(test/tests/preconditioners/smp/smp_single_adapt_test.i)

#
# This is not very strong test since the problem being solved is linear, so the difference between
# full Jacobian and block diagonal preconditioner is not that big
#

[Mesh]
  type = GeneratedMesh
  dim = 2
  xmin = 0
  xmax = 1
  ymin = 0
  ymax = 1
  nx = 5
  ny = 5
  elem_type = QUAD4
[]

[Functions]
  [./exact_v]
    type = ParsedFunction
    expression = sin(pi*x)*sin(pi*y)
  [../]
  [./force_fn_v]
    type = ParsedFunction
    expression = 2*pi*pi*sin(pi*x)*sin(pi*y)
  [../]
[]

[Variables]
  active = 'u v'

  [./u]
    order = FIRST
    family = LAGRANGE
  [../]

  [./v]
    order = FIRST
    family = LAGRANGE
  [../]
[]

[Preconditioning]
  [./SMP]
    type = SMP
    off_diag_row    = 'u'
    off_diag_column = 'v'
  [../]
[]

[Kernels]
  [./diff_u]
    type = Diffusion
    variable = u
  [../]
  [./conv_u]
    type = CoupledForce
    variable = u
    v = v
  [../]

  [./diff_v]
    type = Diffusion
    variable = v
  [../]
  [./ffn_v]
    type = BodyForce
    variable = v
    function = force_fn_v
  [../]
[]

[BCs]
  [./left_u]
    type = DirichletBC
    variable = u
    boundary = 1
    value = 0
  [../]

  [./right_u]
    type = DirichletBC
    variable = u
    boundary = 3
    value = 1
  [../]

  [./all_v]
    type = FunctionDirichletBC
    variable = v
    boundary = '0 1 2 3'
    function = exact_v
  [../]
[]

[Executioner]
  type = Steady


  solve_type = 'PJFNK'

  [./Adaptivity]
    steps = 3
    coarsen_fraction = 0.1
    refine_fraction = 0.2
    max_h_level = 5
  [../]
[]

[Outputs]
  exodus = true
  print_mesh_changed_info = true
[]

(modules/solid_mechanics/test/tests/crystal_plasticity/user_object_based/patch_recovery.i)

[Mesh]
  type = GeneratedMesh
  dim = 2
  nx = 2
  ny = 2
  displacements = 'ux uy'
[]

[Variables]
  [ux]
  []
  [uy]
  []
[]

[AuxVariables]
  [stress_xx_recovered]
    order = FIRST
    family = LAGRANGE
  []
  [stress_yy_recovered]
    order = FIRST
    family = LAGRANGE
  []
[]

[Functions]
  [tdisp]
    type = ParsedFunction
    expression = 0.01*t
  []
[]

[Kernels]
  [SolidMechanics]
    displacements = 'ux uy'
    use_displaced_mesh = true
  []
[]

[AuxKernels]
  [stress_xx_recovered]
    type = NodalPatchRecoveryAux
    variable = stress_xx_recovered
    nodal_patch_recovery_uo = stress_xx_patch
    execute_on = 'TIMESTEP_END'
  []
  [stress_yy_recovered]
    type = NodalPatchRecoveryAux
    variable = stress_yy_recovered
    nodal_patch_recovery_uo = stress_yy_patch
    execute_on = 'TIMESTEP_END'
  []
[]

[BCs]
  [symmy]
    type = DirichletBC
    variable = uy
    boundary = bottom
    value = 0
  []
  [symmx]
    type = DirichletBC
    variable = ux
    boundary = left
    value = 0
  []
  [tdisp]
    type = FunctionDirichletBC
    variable = uy
    boundary = top
    function = tdisp
  []
[]

[UserObjects]
  [slip_rate_gss]
    type = CrystalPlasticitySlipRateGSS
    variable_size = 12
    slip_sys_file_name = input_slip_sys.txt
    num_slip_sys_flowrate_props = 2
    flowprops = '1 4 0.001 0.1 5 8 0.001 0.1 9 12 0.001 0.1'
    uo_state_var_name = state_var_gss
  []
  [slip_resistance_gss]
    type = CrystalPlasticitySlipResistanceGSS
    variable_size = 12
    uo_state_var_name = state_var_gss
  []
  [state_var_gss]
    type = CrystalPlasticityStateVariable
    variable_size = 12
    groups = '0 4 8 12'
    group_values = '60.8 60.8 60.8'
    uo_state_var_evol_rate_comp_name = state_var_evol_rate_comp_gss
    scale_factor = 1.0
  []
  [state_var_evol_rate_comp_gss]
    type = CrystalPlasticityStateVarRateComponentGSS
    variable_size = 12
    hprops = '1.0 541.5 109.8 2.5'
    uo_slip_rate_name = slip_rate_gss
    uo_state_var_name = state_var_gss
  []
  [stress_xx_patch]
    type = NodalPatchRecoveryMaterialProperty
    patch_polynomial_order = FIRST
    property = 'stress'
    component = '0 0'
    execute_on = 'TIMESTEP_END'
  []
  [stress_yy_patch]
    type = NodalPatchRecoveryMaterialProperty
    patch_polynomial_order = FIRST
    property = 'stress'
    component = '1 1'
    execute_on = 'TIMESTEP_END'
  []
[]

[Materials]
  [crysp]
    type = FiniteStrainUObasedCP
    stol = 1e-2
    tan_mod_type = exact
    uo_slip_rates = 'slip_rate_gss'
    uo_slip_resistances = 'slip_resistance_gss'
    uo_state_vars = 'state_var_gss'
    uo_state_var_evol_rate_comps = 'state_var_evol_rate_comp_gss'
  []
  [strain]
    type = ComputeFiniteStrain
    displacements = 'ux uy'
  []
  [elasticity_tensor]
    type = ComputeElasticityTensorCP
    C_ijkl = '1.684e5 1.214e5 1.214e5 1.684e5 1.214e5 1.684e5 0.754e5 0.754e5 0.754e5'
    fill_method = symmetric9
  []
[]

[Preconditioning]
  [smp]
    type = SMP
    full = true
  []
[]

[Executioner]
  type = Transient
  dt = 0.05
  solve_type = 'PJFNK'

  petsc_options_iname = -pc_hypre_type
  petsc_options_value = boomerang
  nl_abs_tol = 1e-10
  nl_rel_step_tol = 1e-10
  dtmax = 10.0
  nl_rel_tol = 1e-10
  end_time = 1
  dtmin = 0.05
  num_steps = 10
  nl_abs_step_tol = 1e-10
[]

[Outputs]
  exodus = true
[]

(modules/solid_mechanics/test/tests/tensile/planar4.i)

# A single unit element is stretched by 1E-6m in z direction.
# with Lame lambda = 0.6E6 and Lame mu (shear) = 1E6
# stress_zz = 2.6 Pa
# stress_xx = 0.6 Pa
# stress_yy = 0.6 Pa
# tensile_strength is set to 0.5Pa
#
# The return should be to a plane (but the algorithm
# will try tip-return first), with
# stress_zz = 0.5
# plastic multiplier = 2.1/2.6 E-6
# stress_xx = 0.6 - (2.1/2.6*0.6) = 0.115
[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]

[Physics/SolidMechanics/QuasiStatic]
  [./all]
    add_variables = true
    incremental = true
    strain = finite
    generate_output = 'stress_xx stress_xy stress_xz stress_yy stress_yz stress_zz'
  [../]
[]

[BCs]
  [./x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'front back'
    function = '0E-6*x'
  [../]
  [./y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'front back'
    function = '0E-6*y'
  [../]
  [./z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'front back'
    function = '1.0E-6*z'
  [../]
[]

[AuxVariables]
  [./f0]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f1]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f2]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./iter]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./intnl]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]

[AuxKernels]
  [./f0_auxk]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 0
    variable = f0
  [../]
  [./f1_auxk]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 1
    variable = f1
  [../]
  [./f2_auxk]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 2
    variable = f2
  [../]
  [./iter]
    type = MaterialRealAux
    property = plastic_NR_iterations
    variable = iter
  [../]
  [./intnl_auxk]
    type = MaterialStdVectorAux
    property = plastic_internal_parameter
    index = 0
    variable = intnl
  [../]
[]

[Postprocessors]
  [./s_xx]
    type = PointValue
    point = '0 0 0'
    variable = stress_xx
  [../]
  [./s_xy]
    type = PointValue
    point = '0 0 0'
    variable = stress_xy
  [../]
  [./s_xz]
    type = PointValue
    point = '0 0 0'
    variable = stress_xz
  [../]
  [./s_yy]
    type = PointValue
    point = '0 0 0'
    variable = stress_yy
  [../]
  [./s_yz]
    type = PointValue
    point = '0 0 0'
    variable = stress_yz
  [../]
  [./s_zz]
    type = PointValue
    point = '0 0 0'
    variable = stress_zz
  [../]
  [./f0]
    type = PointValue
    point = '0 0 0'
    variable = f0
  [../]
  [./f1]
    type = PointValue
    point = '0 0 0'
    variable = f1
  [../]
  [./f2]
    type = PointValue
    point = '0 0 0'
    variable = f2
  [../]
  [./iter]
    type = PointValue
    point = '0 0 0'
    variable = iter
  [../]
  [./intnl]
    type = PointValue
    point = '0 0 0'
    variable = intnl
  [../]
[]

[UserObjects]
  [./hard]
    type = SolidMechanicsHardeningConstant
    value = 0.5
  [../]
  [./tens]
    type = SolidMechanicsPlasticTensileMulti
    tensile_strength = hard
    shift = 1E-6
    yield_function_tolerance = 1E-6
    internal_constraint_tolerance = 1E-5
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    block = 0
    fill_method = symmetric_isotropic
    C_ijkl = '0.6E6 1E6'
  [../]
  [./mc]
    type = ComputeMultiPlasticityStress
    block = 0
    ep_plastic_tolerance = 1E-12
    plastic_models = tens
    debug_fspb = none
    debug_jac_at_stress = '1 2 3 2 -4 -5 3 -5 10'
    debug_jac_at_pm = '0.1 0.2 0.3'
    debug_jac_at_intnl = 1E-6
    debug_stress_change = 1E-6
    debug_pm_change = '1E-6 1E-6 1E-6'
    debug_intnl_change = 1E-6
  [../]
[]


[Executioner]
  end_time = 1
  dt = 1
  type = Transient
[]


[Outputs]
  file_base = planar4
  exodus = false
  [./csv]
    type = CSV
    [../]
[]

(modules/solid_mechanics/test/tests/crystal_plasticity/monolithic_material_based/crysp_substep.i)

[Mesh]
  type = GeneratedMesh
  dim = 3
  elem_type = HEX8
  displacements = 'ux uy uz'
[]

[Variables]
  [./ux]
    block = 0
  [../]
  [./uy]
    block = 0
  [../]
  [./uz]
    block = 0
  [../]
[]

[AuxVariables]
  [./stress_zz]
    order = CONSTANT
    family = MONOMIAL
    block = 0
  [../]
  [./fp_zz]
    order = CONSTANT
    family = MONOMIAL
    block = 0
  [../]
  [./rotout]
    order = CONSTANT
    family = MONOMIAL
    block = 0
  [../]
  [./e_zz]
    order = CONSTANT
    family = MONOMIAL
    block = 0
  [../]
  [./gss1]
    order = CONSTANT
    family = MONOMIAL
    block = 0
  [../]
[]

[Functions]
  [./tdisp]
    type = ParsedFunction
    expression = 0.01*t
  [../]
[]

[Kernels]
  [SolidMechanics]
    displacements = 'ux uy uz'
    use_displaced_mesh = true
  [../]
[]

[AuxKernels]
  [./stress_zz]
    type = RankTwoAux
    variable = stress_zz
    rank_two_tensor = stress
    index_j = 2
    index_i = 2
    execute_on = timestep_end
    block = 0
  [../]
  [./fp_zz]
    type = RankTwoAux
    variable = fp_zz
    rank_two_tensor = fp
    index_j = 2
    index_i = 2
    execute_on = timestep_end
    block = 0
  [../]
  [./e_zz]
    type = RankTwoAux
    variable = e_zz
    rank_two_tensor = lage
    index_j = 2
    index_i = 2
    execute_on = timestep_end
    block = 0
  [../]
  [./gss1]
    type = MaterialStdVectorAux
    variable = gss1
    property = gss
    index = 0
    execute_on = timestep_end
    block = 0
  [../]
[]

[BCs]
  [./symmy]
    type = DirichletBC
    variable = uy
    boundary = bottom
    value = 0
  [../]
  [./symmx]
    type = DirichletBC
    variable = ux
    boundary = left
    value = 0
  [../]
  [./symmz]
    type = DirichletBC
    variable = uz
    boundary = back
    value = 0
  [../]
  [./tdisp]
    type = FunctionDirichletBC
    variable = uz
    boundary = front
    function = tdisp
  [../]
[]

[Materials]
  [./crysp]
    type = FiniteStrainCrystalPlasticity
    block = 0
    gtol = 1e-2
    slip_sys_file_name = input_slip_sys.txt
    nss = 12
    num_slip_sys_flowrate_props = 2 #Number of properties in a slip system
    flowprops = '1 4 0.001 0.1 5 8 0.001 0.1 9 12 0.001 0.1'
    hprops = '1.0 541.5 60.8 109.8 2.5'
    gprops = '1 4 60.8 5 8 60.8 9 12 60.8'
    tan_mod_type = exact
    gen_random_stress_flag = false
    maximum_substep_iteration = 2
  [../]
  [./elasticity_tensor]
    type = ComputeElasticityTensorCP
    block = 0
    C_ijkl = '1.684e5 1.214e5 1.214e5 1.684e5 1.214e5 1.684e5 0.754e5 0.754e5 0.754e5'
    fill_method = symmetric9
  [../]
  [./strain]
    type = ComputeFiniteStrain
    block = 0
    displacements = 'ux uy uz'
  [../]
[]

[Postprocessors]
  [./stress_zz]
    type = ElementAverageValue
    variable = stress_zz
    block = 'ANY_BLOCK_ID 0'
  [../]
  [./fp_zz]
    type = ElementAverageValue
    variable = fp_zz
    block = 'ANY_BLOCK_ID 0'
  [../]
  [./e_zz]
    type = ElementAverageValue
    variable = e_zz
    block = 'ANY_BLOCK_ID 0'
  [../]
  [./gss1]
    type = ElementAverageValue
    variable = gss1
    block = 'ANY_BLOCK_ID 0'
  [../]
[]

[Preconditioning]
  [./smp]
    type = SMP
    full = true
  [../]
[]

[Executioner]
  type = Transient

  #Preconditioned JFNK (default)
  solve_type = 'PJFNK'

  petsc_options_iname = '-pc_type'
  petsc_options_value = 'lu'

  nl_rel_tol = 1e-10
  nl_abs_tol = 1e-10

  dt = 0.5
  dtmax = 10.0
  dtmin = 0.5

  num_steps = 3
[]

[Outputs]
  file_base = crysp_substep_out
  exodus = true
  csv = true
  gnuplot = true
[]

(test/tests/bcs/periodic/auto_dir_repeated_id.i)

[Mesh]
  type = FileMesh
  file = auto_dir_repeated_id.e
  dim = 3
[]

[Variables]
  [./u]
  [../]
[]

[Kernels]
  [./dot]
    type = TimeDerivative
    variable = u
  [../]

  [./diff]
    type = Diffusion
    variable = u
  [../]
[]

[BCs]
  [./z_all]
    type = FunctionDirichletBC
    variable = u
    preset = false
    boundary = 'z_all'
    function = 'z'
  [../]

  [./Periodic]
    [./all]
      variable = u
      auto_direction = 'x y'
    [../]
  [../]
[]

[Executioner]
  type = Transient
  dt = .1
  num_steps = 1
  solve_type = NEWTON
[]

[Outputs]
  execute_on = 'timestep_end'
  exodus = true
[]

(modules/solid_mechanics/test/tests/smeared_cracking/cracking_xyz.i)

#

[Mesh]
  file = cracking_test.e
[]

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]

[Functions]
  [./displx]
    type = PiecewiseLinear
    x = '0 1'
    y = '0 0.00175'
  [../]
  [./velocity_y]
    type = ParsedFunction
    expression = 'if(t < 2, 0.00175, 0)'
  [../]
  [./velocity_z]
    type = ParsedFunction
    expression = 0.00175
  [../]
[]

[Physics/SolidMechanics/QuasiStatic]
  [./all]
    strain = FINITE
    add_variables = true
    generate_output = 'stress_xx stress_yy stress_zz stress_xy stress_yz stress_zx'
  [../]
[]

[BCs]
  [./fix_x]
    type = DirichletBC
    variable = disp_x
    boundary = 1
    value = 0.0
  [../]
  [./move_x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 4
    function = displx
  [../]

  [./fix_y]
    type = DirichletBC
    variable = disp_y
    boundary = 2
    value = 0.0
  [../]
  [./move_y]
    type = PresetVelocity
    variable = disp_y
    boundary = 5
    function = velocity_y
#    time_periods = 'p2 p3'
  [../]

  [./fix_z]
    type = DirichletBC
    variable = disp_z
    boundary = 3
    value = 0.0
  [../]
  [./move_z]
    type = PresetVelocity
    variable = disp_z
    boundary = 6
    function = velocity_z
#    time_periods = 'p3'
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeIsotropicElasticityTensor
    youngs_modulus = 186.5e9
    poissons_ratio = .316
  [../]
  [./elastic_stress]
    type = ComputeSmearedCrackingStress
    cracking_stress = 119.3e6
    cracked_elasticity_type = FULL
    softening_models = exponential_softening
  [../]
  [./exponential_softening]
    type = ExponentialSoftening
  [../]
[]

[Executioner]
  type = Transient

  petsc_options_iname = '-ksp_gmres_restart -pc_type'
  petsc_options_value = '101                lu'


  line_search = 'none'


  l_max_its = 100
  l_tol = 1e-5

  nl_max_its = 100
  nl_abs_tol = 1e-6
  #nl_rel_tol = 1e-4
  nl_rel_tol = 1e-8

  start_time = 0.0
  end_time = 3.0
  dt = 0.01
[]

[Controls]
  [./p1]
    type = TimePeriod
    start_time = 0.0
    end_time = 1.0
    disable_objects = 'BCs/move_y BCs/move_z'
    reverse_on_false = false
    execute_on = 'initial timestep_begin'
  [../]

  [./p2]
    type = TimePeriod
    start_time = 1.0
    end_time = 2.0
    disable_objects = 'BCs/move_z'
    enable_objects = 'BCs/move_y'
    reverse_on_false = false
    execute_on = 'initial timestep_begin'
  [../]

  [./p3]
    type = TimePeriod
    start_time = 2.0
    end_time = 3.0
    enable_objects = 'BCs/move_y BCs/move_z'
    reverse_on_false = false
    execute_on = 'initial timestep_begin'
    set_sync_times = true
  [../]
[]

[Outputs]
  exodus = true
[]

(modules/solid_mechanics/test/tests/multi/three_surface13.i)

# Plasticit models:
# SimpleTester0 with a = 0 and b = 1 and strength = 1
# SimpleTester1 with a = 1 and b = 0 and strength = 1
# SimpleTester2 with a = 1 and b = 1 and strength = 3
#
# Lame lambda = 0 (Poisson=0).  Lame mu = 0.5E6
#
# A single element is stretched by 2.0E-6m in y direction and 0E-6 in z direction.
# trial stress_yy = 2 and stress_zz = 0
#
# Then SimpleTester1 should activate and the algorithm will return to
# stress_yy=1
# internal1 should be 1

[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]


[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
[]

[Kernels]
  [SolidMechanics]
    displacements = 'disp_x disp_y disp_z'
  [../]
[]


[BCs]
  [./x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'front back'
    function = '0E-6*x'
  [../]
  [./y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'front back'
    function = '2.0E-6*y'
  [../]
  [./z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'front back'
    function = '0.0E-6*z'
  [../]
[]

[AuxVariables]
  [./stress_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f0]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f1]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f2]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./int0]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./int1]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./int2]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]

[AuxKernels]
  [./stress_xx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xx
    index_i = 0
    index_j = 0
  [../]
  [./stress_xy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xy
    index_i = 0
    index_j = 1
  [../]
  [./stress_xz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xz
    index_i = 0
    index_j = 2
  [../]
  [./stress_yy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yy
    index_i = 1
    index_j = 1
  [../]
  [./stress_yz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yz
    index_i = 1
    index_j = 2
  [../]
  [./stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zz
    index_i = 2
    index_j = 2
  [../]
  [./f0]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 0
    variable = f0
  [../]
  [./f1]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 1
    variable = f1
  [../]
  [./f2]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 2
    variable = f2
  [../]
  [./int0]
    type = MaterialStdVectorAux
    property = plastic_internal_parameter
    factor = 1E6
    index = 0
    variable = int0
  [../]
  [./int1]
    type = MaterialStdVectorAux
    property = plastic_internal_parameter
    factor = 1E6
    index = 1
    variable = int1
  [../]
  [./int2]
    type = MaterialStdVectorAux
    property = plastic_internal_parameter
    factor = 1E6
    index = 2
    variable = int2
  [../]
[]

[Postprocessors]
  [./s_xx]
    type = PointValue
    point = '0 0 0'
    variable = stress_xx
  [../]
  [./s_xy]
    type = PointValue
    point = '0 0 0'
    variable = stress_xy
  [../]
  [./s_xz]
    type = PointValue
    point = '0 0 0'
    variable = stress_xz
  [../]
  [./s_yy]
    type = PointValue
    point = '0 0 0'
    variable = stress_yy
  [../]
  [./s_yz]
    type = PointValue
    point = '0 0 0'
    variable = stress_yz
  [../]
  [./s_zz]
    type = PointValue
    point = '0 0 0'
    variable = stress_zz
  [../]
  [./f0]
    type = PointValue
    point = '0 0 0'
    variable = f0
  [../]
  [./f1]
    type = PointValue
    point = '0 0 0'
    variable = f1
  [../]
  [./f2]
    type = PointValue
    point = '0 0 0'
    variable = f2
  [../]
  [./int0]
    type = PointValue
    point = '0 0 0'
    variable = int0
  [../]
  [./int1]
    type = PointValue
    point = '0 0 0'
    variable = int1
  [../]
  [./int2]
    type = PointValue
    point = '0 0 0'
    variable = int2
  [../]
[]

[UserObjects]
  [./simple0]
    type = SolidMechanicsPlasticSimpleTester
    a = 0
    b = 1
    strength = 1
    yield_function_tolerance = 1.0E-9
    internal_constraint_tolerance = 1.0E-9
  [../]
  [./simple1]
    type = SolidMechanicsPlasticSimpleTester
    a = 1
    b = 0
    strength = 1
    yield_function_tolerance = 1.0E-9
    internal_constraint_tolerance = 1.0E-9
  [../]
  [./simple2]
    type = SolidMechanicsPlasticSimpleTester
    a = 1
    b = 1
    strength = 3
    yield_function_tolerance = 1.0E-9
    internal_constraint_tolerance = 1.0E-9
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    block = 0
    fill_method = symmetric_isotropic
    C_ijkl = '0 0.5E6'
  [../]
  [./strain]
    type = ComputeFiniteStrain
    block = 0
    displacements = 'disp_x disp_y disp_z'
  [../]
  [./multi]
    type = ComputeMultiPlasticityStress
    block = 0
    ep_plastic_tolerance = 1E-9
    plastic_models = 'simple0 simple1 simple2'
    max_NR_iterations = 2
    min_stepsize = 1
    debug_fspb = crash
    debug_jac_at_stress = '10 0 0 0 10 0 0 0 10'
    debug_jac_at_pm = '1 1'
    debug_jac_at_intnl = '1 1'
    debug_stress_change = 1E-5
    debug_pm_change = '1E-6 1E-6'
    debug_intnl_change = '1E-6 1E-6'
  [../]
[]


[Executioner]
  end_time = 1
  dt = 1
  type = Transient
[]


[Outputs]
  file_base = three_surface13
  exodus = false
  [./csv]
    type = CSV
    [../]
[]

(modules/solid_mechanics/test/tests/mean_cap/small_deform2.i)

# apply compression in x, y and z directions such that strain = diag(-1E-6, -2E-6, 3E-6).
# With lame_lambda=0 and lame_mu=1E7, this gives
# trial_Stress = diag(-20, -40, -60), so trial_mean_Stress = -40.
# with a = -1 and strength = 30, the algorithm should return to
# stress = diag(-10, -30, -50)

[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]


[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
[]

[Kernels]
  [SolidMechanics]
    displacements = 'disp_x disp_y disp_z'
  [../]
[]


[BCs]
  [./x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'front back'
    function = '-1E-6*x'
  [../]
  [./y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'front back'
    function = '-2E-6*y'
  [../]
  [./z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'front back'
    function = '-3E-6*z'
  [../]
[]

[AuxVariables]
  [./stress_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]

[AuxKernels]
  [./stress_xx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xx
    index_i = 0
    index_j = 0
  [../]
  [./stress_xy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xy
    index_i = 0
    index_j = 1
  [../]
  [./stress_xz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xz
    index_i = 0
    index_j = 2
  [../]
  [./stress_yy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yy
    index_i = 1
    index_j = 1
  [../]
  [./stress_yz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yz
    index_i = 1
    index_j = 2
  [../]
  [./stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zz
    index_i = 2
    index_j = 2
  [../]
  [./f]
    type = MaterialStdVectorAux
    index = 0
    property = plastic_yield_function
    variable = f
  [../]
[]

[Postprocessors]
  [./s_xx]
    type = PointValue
    point = '0 0 0'
    variable = stress_xx
  [../]
  [./s_xy]
    type = PointValue
    point = '0 0 0'
    variable = stress_xy
  [../]
  [./s_xz]
    type = PointValue
    point = '0 0 0'
    variable = stress_xz
  [../]
  [./s_yy]
    type = PointValue
    point = '0 0 0'
    variable = stress_yy
  [../]
  [./s_yz]
    type = PointValue
    point = '0 0 0'
    variable = stress_yz
  [../]
  [./s_zz]
    type = PointValue
    point = '0 0 0'
    variable = stress_zz
  [../]
  [./f]
    type = PointValue
    point = '0 0 0'
    variable = f
  [../]
[]

[UserObjects]
  [./strength]
    type = SolidMechanicsHardeningConstant
    value = 30
  [../]
  [./cap]
    type = SolidMechanicsPlasticMeanCap
    a = -1
    strength = strength
    yield_function_tolerance = 1E-3
    internal_constraint_tolerance = 1E-9
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    block = 0
    fill_method = symmetric_isotropic
    C_ijkl = '0 1E7'
  [../]
  [./strain]
    type = ComputeIncrementalStrain
    block = 0
    displacements = 'disp_x disp_y disp_z'
  [../]
  [./mean_cap]
    type = ComputeMultiPlasticityStress
    block = 0
    ep_plastic_tolerance = 1E-9
    plastic_models = cap
    debug_fspb = crash
    debug_jac_at_stress = '10 0 0 0 10 0 0 0 10'
    debug_jac_at_pm = 1
    debug_jac_at_intnl = 1
    debug_stress_change = 1E-5
    debug_pm_change = 1E-6
    debug_intnl_change = 1E-6
  [../]
[]


[Executioner]
  end_time = 1
  dt = 1
  type = Transient
[]


[Outputs]
  file_base = small_deform2
  exodus = false
  [./csv]
    type = CSV
  [../]
[]

(modules/solid_mechanics/test/tests/lagrangian/cartesian/total/convergence/3D/dirichlet.i)

# Simple 3D test

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
  large_kinematics = true
[]

[Variables]
  [disp_x]
  []
  [disp_y]
  []
  [disp_z]
  []
[]

[Mesh]
  [msh]
    type = GeneratedMeshGenerator
    dim = 3
    nx = 4
    ny = 4
    nz = 4
  []
[]

[Kernels]
  [sdx]
    type = TotalLagrangianStressDivergence
    variable = disp_x
    component = 0
  []
  [sdy]
    type = TotalLagrangianStressDivergence
    variable = disp_y
    component = 1
  []
  [sdz]
    type = TotalLagrangianStressDivergence
    variable = disp_z
    component = 2
  []
[]

[Functions]
  [pullx]
    type = ParsedFunction
    expression = '0.4 * t'
  []
  [pully]
    type = ParsedFunction
    expression = '-0.2 * t'
  []
  [pullz]
    type = ParsedFunction
    expression = '0.3 * t'
  []
[]

[BCs]
  [leftx]
    type = DirichletBC
    preset = true
    boundary = left
    variable = disp_x
    value = 0.0
  []
  [lefty]
    type = DirichletBC
    preset = true
    boundary = left
    variable = disp_y
    value = 0.0
  []
  [leftz]
    type = DirichletBC
    preset = true
    boundary = left
    variable = disp_z
    value = 0.0
  []
  [pull_x]
    type = FunctionDirichletBC
    boundary = right
    variable = disp_x
    function = pullx
    preset = true
  []
  [pull_y]
    type = FunctionDirichletBC
    boundary = top
    variable = disp_y
    function = pully
    preset = true
  []
  [pull_z]
    type = FunctionDirichletBC
    boundary = right
    variable = disp_z
    function = pullz
    preset = true
  []
[]

[Materials]
  [elastic_tensor]
    type = ComputeIsotropicElasticityTensor
    youngs_modulus = 100000.0
    poissons_ratio = 0.3
  []
  [compute_stress]
    type = ComputeLagrangianLinearElasticStress
  []
  [compute_strain]
    type = ComputeLagrangianStrain
  []
[]

[Preconditioning]
  [smp]
    type = SMP
    full = true
  []
[]

[Executioner]
  type = Transient

  solve_type = 'newton'
  line_search = none

  petsc_options_iname = '-pc_type'
  petsc_options_value = 'lu'

  l_max_its = 2
  l_tol = 1e-14
  nl_max_its = 15
  nl_rel_tol = 1e-8
  nl_abs_tol = 1e-10

  start_time = 0.0
  dt = 0.2
  dtmin = 0.2
  end_time = 1.0
[]

[Postprocessors]
  [nonlin]
    type = NumNonlinearIterations
  []
[]

[Outputs]
  exodus = false
  csv = true
[]

(modules/contact/test/tests/bouncing-block-contact/grid-sequencing/grid-sequencing.i)

starting_point = 2e-1

# We offset slightly so we avoid the case where the bottom of the secondary block and the top of the
# primary block are perfectly vertically aligned which can cause the backtracking line search some
# issues for a coarsest mesh (basic line search handles that fine)
offset = 1e-2

[GlobalParams]
  displacements = 'disp_x disp_y'
  diffusivity = 1e0
[]

[Mesh]
  [File]
    type = FileMeshGenerator
    file = level0.e
  []
[]

[Variables]
  [disp_x]
    block = '1 2'
  []
  [disp_y]
    block = '1 2'
  []
[]

[ICs]
  [disp_y]
    block = 2
    variable = disp_y
    value = '${fparse starting_point + offset}'
    type = ConstantIC
  []
[]

[Kernels]
  [disp_x]
    type = MatDiffusion
    variable = disp_x
  []
  [disp_y]
    type = MatDiffusion
    variable = disp_y
  []
[]

[Contact]
  [contact]
    secondary = 10
    primary = 20
    formulation = mortar
    model = coulomb
    friction_coefficient = 0.4
    c_normal = 1e+02
    c_tangential = 1.0e2
  []
[]

[BCs]
  [botx]
    type = DirichletBC
    variable = disp_x
    boundary = 40
    value = 0.0
  []
  [boty]
    type = DirichletBC
    variable = disp_y
    boundary = 40
    value = 0.0
  []
  [topy]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 30
    function = '${starting_point} * cos(2 * pi / 40 * t) + ${offset}'
  []
  [leftx]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 50
    function = '1e-2 * t'
  []
[]

[Executioner]
  type = Transient
  end_time = 200
  num_steps = 3
  dt = 5
  dtmin = .1
  solve_type = 'PJFNK'
  petsc_options = '-snes_converged_reason -ksp_converged_reason -snes_linesearch_monitor'
  petsc_options_iname = '-pc_type -pc_factor_shift_type -pc_factor_shift_amount -mat_mffd_err'
  petsc_options_value = 'lu       NONZERO               1e-15                   1e-6'
  l_max_its = 30
  nl_max_its = 20
  line_search = 'none'
  nl_abs_tol = 5e-10
  num_grids = 5
  snesmf_reuse_base = false
[]

[Debug]
  show_var_residual_norms = true
[]

[Outputs]
  [exo]
    type = Exodus
    sync_times = '15'
    sync_only = true
  []
[]

[Preconditioning]
  [smp]
    type = SMP
    full = true
  []
[]

[Postprocessors]
  [num_nl]
    type = NumNonlinearIterations
  []
  [cumulative]
    type = CumulativeValuePostprocessor
    postprocessor = num_nl
  []
  [contact]
    type = ContactDOFSetSize
    variable = contact_normal_lm
    subdomain = '3'
    execute_on = 'nonlinear timestep_end'
  []
[]

(modules/contact/test/tests/pdass_problems/cylinder_friction_penalty_frictional_al_action_amg_tight.i)

[GlobalParams]
  volumetric_locking_correction = true
  displacements = 'disp_x disp_y'
[]

[Mesh]
  [input_file]
    type = FileMeshGenerator
    file = cond_number.e
  []
  allow_renumbering = false
[]

[Problem]
  type = AugmentedLagrangianContactFEProblem
  extra_tag_vectors = 'ref'
  maximum_lagrangian_update_iterations = 1000
[]

[AuxVariables]
  [penalty_normal_pressure]
  []
  [penalty_frictional_pressure]
  []
  [accumulated_slip_one]
  []
  [tangential_vel_one]
  []
  [normal_gap]
  []
  [normal_lm]
  []
  [saved_x]
  []
  [saved_y]
  []
  [active]
  []
  [pid]
  []
[]

[Functions]
  [disp_ramp_vert]
    type = PiecewiseLinear
    x = '0. 1. 3.5'
    y = '0. -0.020 -0.020'
  []
  [disp_ramp_horz]
    type = PiecewiseLinear
    x = '0. 1. 3.5'
    y = '0. 0.0 0.015'
  []
[]

[Physics/SolidMechanics/QuasiStatic/all]
  strain = FINITE
  add_variables = true
  save_in = 'saved_x saved_y'
  extra_vector_tags = 'ref'
  block = '1 2 3 4 5 6 7'
  generate_output = 'stress_xx stress_yy stress_xy'
[]

[AuxKernels]
  [pid]
    type = ProcessorIDAux
    variable = pid
  []
  [penalty_normal_pressure]
    type = PenaltyMortarUserObjectAux
    variable = penalty_normal_pressure
    user_object = penalty_friction_object_al_friction
    contact_quantity = normal_pressure
    boundary = 3
  []
  [penalty_frictional_pressure]
    type = PenaltyMortarUserObjectAux
    variable = penalty_frictional_pressure
    user_object = penalty_friction_object_al_friction
    contact_quantity = tangential_pressure_one
    boundary = 3
  []
  [penalty_tangential_vel_one]
    type = PenaltyMortarUserObjectAux
    variable = tangential_vel_one
    user_object = penalty_friction_object_al_friction
    contact_quantity = tangential_velocity_one
    boundary = 3
  []
  [penalty_accumulated_slip_one]
    type = PenaltyMortarUserObjectAux
    variable = accumulated_slip_one
    user_object = penalty_friction_object_al_friction
    contact_quantity = accumulated_slip_one
    boundary = 3
  []
  [normal_lm]
    type = PenaltyMortarUserObjectAux
    variable = normal_lm
    user_object = penalty_friction_object_al_friction
    contact_quantity = normal_lm
    boundary = 3
  []
  [normal_gap]
    type = PenaltyMortarUserObjectAux
    variable = normal_gap
    user_object = penalty_friction_object_al_friction
    contact_quantity = normal_gap
    boundary = 3
  []
[]

[Postprocessors]
  [bot_react_x]
    type = NodalSum
    variable = saved_x
    boundary = 1
  []
  [bot_react_y]
    type = NodalSum
    variable = saved_y
    boundary = 1
  []
  [top_react_x]
    type = NodalSum
    variable = saved_x
    boundary = 4
  []
  [top_react_y]
    type = NodalSum
    variable = saved_y
    boundary = 4
  []
  [_dt]
    type = TimestepSize
  []
  [num_lin_it]
    type = NumLinearIterations
  []
  [num_nonlin_it]
    type = NumNonlinearIterations
  []
  [cumulative]
    type = CumulativeValuePostprocessor
    postprocessor = num_nonlin_it
  []
  [gap]
    type = SideExtremeValue
    value_type = min
    variable = normal_gap
    boundary = 3
  []
  [num_al]
    type = NumAugmentedLagrangeIterations
  []
  [active_set_size]
    type = NodalSum
    variable = active
  []
[]

[BCs]
  [side_x]
    type = DirichletBC
    variable = disp_y
    boundary = '1 2'
    value = 0.0
  []
  [bot_y]
    type = DirichletBC
    variable = disp_x
    boundary = '1 2'
    value = 0.0
  []
  [top_y_disp]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 4
    function = disp_ramp_vert
  []
  [top_x_disp]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 4
    function = disp_ramp_horz
  []
[]

[Materials]
  [stuff1_elas_tens]
    type = ComputeIsotropicElasticityTensor
    block = '1'
    youngs_modulus = 1e8
    poissons_ratio = 0.0
  []
  [stuff1_stress]
    type = ComputeFiniteStrainElasticStress
    block = '1'
  []
  [stuff2_elas_tens]
    type = ComputeIsotropicElasticityTensor
    block = '2 3 4 5 6 7'
    youngs_modulus = 1e6
    poissons_ratio = 0.3
  []
  [stuff2_stress]
    type = ComputeFiniteStrainElasticStress
    block = '2 3 4 5 6 7'
  []
[]

[Executioner]
  type = Transient
  solve_type = 'NEWTON'

  petsc_options = '-ksp_snes_ew'
  petsc_options_iname = '-ksp_gmres_restart -pc_type -pc_hypre_type -pc_hypre_boomeramg_max_iter'
  petsc_options_value = ' 201                hypre    boomeramg      8'

  line_search = 'none'

  nl_abs_tol = 1e-12
  nl_rel_tol = 1e-10
  nl_max_its = 150
  l_tol = 1e-05
  l_abs_tol = 1e-13

  start_time = 0.0
  end_time = 0.1 # 1.0
  dt = 0.1
  dtmin = 0.1

  [Predictor]
    type = SimplePredictor
    scale = 1.0
  []

  automatic_scaling = true
  compute_scaling_once = false
  off_diagonals_in_auto_scaling = true
[]

[Preconditioning]
  [SMP]
    type = SMP
    full = true
  []
[]

[VectorPostprocessors]
  [surface]
    type = NodalValueSampler
    use_displaced_mesh = false
    variable = 'disp_x disp_y penalty_normal_pressure penalty_frictional_pressure normal_gap'
    boundary = '3'
    sort_by = id
  []
[]

[Outputs]
  print_linear_residuals = true
  perf_graph = true
  exodus = true
  csv = false
  [vectorpp_output]
    type = CSV
    create_final_symlink = true
    execute_on = 'INITIAL TIMESTEP_END FINAL'
  []
[]

[Contact]
  [al_friction]
    formulation = mortar_penalty
    model = coulomb
    primary = '2'
    secondary = '3'
    penalty = 1e7
    penalty_friction = 1e+7
    friction_coefficient = 0.4
    al_penetration_tolerance = 1e-7
    al_incremental_slip_tolerance = 1e-7
    adaptivity_penalty_normal = BUSSETTA
    adaptivity_penalty_friction = FRICTION_LIMIT
    penalty_multiplier = 5
    penalty_multiplier_friction = 5
  []
[]

(test/tests/geomsearch/3d_moving_penetration/pl_test2qtt.i)

[GlobalParams]
  order = SECOND
  family = LAGRANGE
[]

[Mesh]
  file = pl_test2qtt.e
  displacements = 'disp_x disp_y disp_z'
[]

[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
[]

[AuxVariables]
  [./distance]
  [../]
  [./tangential_distance]
  [../]
  [./normal_x]
  [../]
  [./normal_y]
  [../]
  [./normal_z]
  [../]
  [./closest_point_x]
  [../]
  [./closest_point_y]
  [../]
  [./closest_point_z]
  [../]
  [./element_id]
  [../]
  [./side]
  [../]
[]

[Kernels]
  [./diff_x]
    type = Diffusion
    variable = disp_x
  [../]
  [./diff_y]
    type = Diffusion
    variable = disp_y
  [../]
  [./diff_z]
    type = Diffusion
    variable = disp_z
  [../]
[]

[AuxKernels]
  [./penetrate]
    type = PenetrationAux
    variable = distance
    boundary = 11            #secondary
    paired_boundary = 12     #primary
    tangential_tolerance = 0.1
  [../]

  [./penetrate2]
    type = PenetrationAux
    variable = distance
    boundary = 12            #secondary
    paired_boundary = 11     #primary
    tangential_tolerance = 0.1
  [../]

  [./penetrate3]
    type = PenetrationAux
    variable = tangential_distance
    boundary = 11
    paired_boundary = 12
    quantity = tangential_distance
  [../]

  [./penetrate4]
    type = PenetrationAux
    variable = tangential_distance
    boundary = 12
    paired_boundary = 11
    quantity = tangential_distance
  [../]

  [./penetrate5]
    type = PenetrationAux
    variable = normal_x
    boundary = 11
    paired_boundary = 12
    quantity = normal_x
  [../]

  [./penetrate6]
    type = PenetrationAux
    variable = normal_x
    boundary = 12
    paired_boundary = 11
    quantity = normal_x
  [../]

  [./penetrate7]
    type = PenetrationAux
    variable = normal_y
    boundary = 11
    paired_boundary = 12
    quantity = normal_y
  [../]

  [./penetrate8]
    type = PenetrationAux
    variable = normal_y
    boundary = 12
    paired_boundary = 11
    quantity = normal_y
  [../]

  [./penetrate9]
    type = PenetrationAux
    variable = normal_z
    boundary = 11
    paired_boundary = 12
    quantity = normal_z
  [../]

  [./penetrate10]
    type = PenetrationAux
    variable = normal_z
    boundary = 12
    paired_boundary = 11
    quantity = normal_z
  [../]

  [./penetrate11]
    type = PenetrationAux
    variable = closest_point_x
    boundary = 11
    paired_boundary = 12
    quantity = closest_point_x
  [../]

  [./penetrate12]
    type = PenetrationAux
    variable = closest_point_x
    boundary = 12
    paired_boundary = 11
    quantity = closest_point_x
  [../]

  [./penetrate13]
    type = PenetrationAux
    variable = closest_point_y
    boundary = 11
    paired_boundary = 12
    quantity = closest_point_y
  [../]

  [./penetrate14]
    type = PenetrationAux
    variable = closest_point_y
    boundary = 12
    paired_boundary = 11
    quantity = closest_point_y
  [../]

  [./penetrate15]
    type = PenetrationAux
    variable = closest_point_z
    boundary = 11
    paired_boundary = 12
    quantity = closest_point_z
  [../]

  [./penetrate16]
    type = PenetrationAux
    variable = closest_point_z
    boundary = 12
    paired_boundary = 11
    quantity = closest_point_z
  [../]

  [./penetrate17]
    type = PenetrationAux
    variable = element_id
    boundary = 11
    paired_boundary = 12
    quantity = element_id
  [../]

  [./penetrate18]
    type = PenetrationAux
    variable = element_id
    boundary = 12
    paired_boundary = 11
    quantity = element_id
  [../]

  [./penetrate19]
    type = PenetrationAux
    variable = side
    boundary = 11
    paired_boundary = 12
    quantity = side
  [../]

  [./penetrate20]
    type = PenetrationAux
    variable = side
    boundary = 12
    paired_boundary = 11
    quantity = side
  [../]
[]

[BCs]
  [./b1x]
    type = DirichletBC
    variable = disp_x
    boundary = 1
    value = 0
  [../]

  [./b1y]
    type = DirichletBC
    variable = disp_y
    boundary = 1
    value = 0
  [../]

  [./b1z]
    type = DirichletBC
    variable = disp_z
    boundary = 1
    value = 0
  [../]

  [./b2x]
    type = DirichletBC
    variable = disp_x
    boundary = 2
    value = 0
  [../]

  [./b2y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 2
    function = disp_y
  [../]

  [./b2z]
    type = DirichletBC
    variable = disp_z
    boundary = 2
    value = 0
  [../]
[]

[Functions]
  [./disp_y]
    type = PiecewiseLinear
    x = '0.0 0.25 0.75 1.0'
    y = '0.0 0.7 -0.7  0.0'
  [../]
[]

[Executioner]
  type = Transient

  solve_type = 'PJFNK'
  petsc_options = '-snes_ksp_ew'

  nl_rel_tol = 1e-9
  l_max_its = 10

  start_time = 0.0
  dt = 0.06
  end_time = 1.0
  [./Quadrature]
    order = THIRD
  [../]
[]

[Outputs]
  file_base = pl_test2qtt_out
  exodus = true
[]

(modules/solid_mechanics/test/tests/hyperelastic_viscoplastic/one_elem_linear_harden.i)

[Mesh]
  type = GeneratedMesh
  dim = 3
  elem_type = HEX8
  displacements = 'ux uy uz'
[]

[Variables]
  [./ux]
    block = 0
  [../]
  [./uy]
    block = 0
  [../]
  [./uz]
    block = 0
  [../]
[]

[Kernels]
  [SolidMechanics]
    displacements = 'ux uy uz'
    use_displaced_mesh = true
  [../]
[]

[AuxVariables]
  [./stress_zz]
    order = CONSTANT
    family = MONOMIAL
    block = 0
  [../]
  [./peeq]
    order = CONSTANT
    family = MONOMIAL
    block = 0
  [../]
  [./fp_zz]
    order = CONSTANT
    family = MONOMIAL
    block = 0
  [../]
[]

[AuxKernels]
  [./stress_zz]
    type = RankTwoAux
    variable = stress_zz
    rank_two_tensor = stress
    index_j = 2
    index_i = 2
    execute_on = timestep_end
    block = 0
  [../]
  [./fp_zz]
    type = RankTwoAux
    variable = fp_zz
    rank_two_tensor = fp
    index_j = 2
    index_i = 2
    execute_on = timestep_end
    block = 0
  [../]
  [./peeq]
    type = MaterialRealAux
    variable = peeq
    property = ep_eqv
    execute_on = timestep_end
    block = 0
  [../]
[]

[BCs]
  [./symmy]
    type = DirichletBC
    variable = uy
    boundary = bottom
    value = 0
  [../]
  [./symmx]
    type = DirichletBC
    variable = ux
    boundary = left
    value = 0
  [../]
  [./symmz]
    type = DirichletBC
    variable = uz
    boundary = back
    value = 0
  [../]
  [./tdisp]
    type = FunctionDirichletBC
    variable = uz
    boundary = front
    function = '0.01*t'
  [../]
[]

[UserObjects]
  [./flowstress]
    type = HEVPLinearHardening
    yield_stress = 100
    slope = 10
    intvar_prop_name = ep_eqv
  [../]
  [./flowrate]
    type = HEVPFlowRatePowerLawJ2
    reference_flow_rate = 0.0001
    flow_rate_exponent = 50.0
    flow_rate_tol = 1
    strength_prop_name = flowstress
  [../]
  [./ep_eqv]
     type = HEVPEqvPlasticStrain
     intvar_rate_prop_name = ep_eqv_rate
  [../]
  [./ep_eqv_rate]
     type = HEVPEqvPlasticStrainRate
     flow_rate_prop_name = flowrate
  [../]
[]

[Materials]
  [./strain]
    type = ComputeFiniteStrain
    block = 0
    displacements = 'ux uy uz'
  [../]
  [./viscop]
    type = FiniteStrainHyperElasticViscoPlastic
    block = 0
    resid_abs_tol = 1e-18
    resid_rel_tol = 1e-8
    maxiters = 50
    max_substep_iteration = 5
    flow_rate_user_objects = 'flowrate'
    strength_user_objects = 'flowstress'
    internal_var_user_objects = 'ep_eqv'
    internal_var_rate_user_objects = 'ep_eqv_rate'
  [../]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    block = 0
    C_ijkl = '2.8e5 1.2e5 1.2e5 2.8e5 1.2e5 2.8e5 0.8e5 0.8e5 0.8e5'
    fill_method = symmetric9
  [../]
[]

[Postprocessors]
  [./stress_zz]
    type = ElementAverageValue
    variable = stress_zz
    block = 'ANY_BLOCK_ID 0'
  [../]
  [./fp_zz]
    type = ElementAverageValue
    variable = fp_zz
    block = 'ANY_BLOCK_ID 0'
  [../]
  [./peeq]
    type = ElementAverageValue
    variable = peeq
    block = 'ANY_BLOCK_ID 0'
  [../]
[]

[Preconditioning]
  [./smp]
    type = SMP
    full = true
  [../]
[]

[Executioner]
  type = Transient
  dt = 0.02
  #Preconditioned JFNK (default)
  solve_type = 'PJFNK'
  petsc_options_iname = -pc_hypre_type
  petsc_options_value = boomerang
  dtmax = 10.0
  nl_rel_tol = 1e-10
  dtmin = 0.02
  num_steps = 10
[]

[Outputs]
  file_base = one_elem_linear_harden
  exodus = true
  csv = false
[]

(test/tests/geomsearch/2d_moving_penetration/pl_test4qnns.i)

[GlobalParams]
  order = SECOND
  family = LAGRANGE
[]

[Mesh]
  file = pl_test4q.e
  displacements = 'disp_x disp_y'
[]

[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
[]

[AuxVariables]
  [./distance]
  [../]
  [./tangential_distance]
  [../]
  [./normal_x]
  [../]
  [./normal_y]
  [../]
  [./closest_point_x]
  [../]
  [./closest_point_y]
  [../]
  [./element_id]
  [../]
  [./side]
  [../]
[]

[Kernels]
  [./diff_x]
    type = Diffusion
    variable = disp_x
  [../]
  [./diff_y]
    type = Diffusion
    variable = disp_y
  [../]
[]

[AuxKernels]
  [./penetrate]
    type = PenetrationAux
    variable = distance
    boundary = 11            #secondary
    paired_boundary = 12     #primary
  [../]

  [./penetrate2]
    type = PenetrationAux
    variable = distance
    boundary = 12            #secondary
    paired_boundary = 11     #primary
    normal_smoothing_method = nodal_normal_based
  [../]

  [./penetrate3]
    type = PenetrationAux
    variable = tangential_distance
    boundary = 11
    paired_boundary = 12
    quantity = tangential_distance
  [../]

  [./penetrate4]
    type = PenetrationAux
    variable = tangential_distance
    boundary = 12
    paired_boundary = 11
    quantity = tangential_distance
  [../]

  [./penetrate5]
    type = PenetrationAux
    variable = normal_x
    boundary = 11
    paired_boundary = 12
    quantity = normal_x
  [../]

  [./penetrate6]
    type = PenetrationAux
    variable = normal_x
    boundary = 12
    paired_boundary = 11
    quantity = normal_x
  [../]

  [./penetrate7]
    type = PenetrationAux
    variable = normal_y
    boundary = 11
    paired_boundary = 12
    quantity = normal_y
  [../]

  [./penetrate8]
    type = PenetrationAux
    variable = normal_y
    boundary = 12
    paired_boundary = 11
    quantity = normal_y
  [../]

  [./penetrate9]
    type = PenetrationAux
    variable = closest_point_x
    boundary = 11
    paired_boundary = 12
    quantity = closest_point_x
  [../]

  [./penetrate10]
    type = PenetrationAux
    variable = closest_point_x
    boundary = 12
    paired_boundary = 11
    quantity = closest_point_x
  [../]

  [./penetrate11]
    type = PenetrationAux
    variable = closest_point_y
    boundary = 11
    paired_boundary = 12
    quantity = closest_point_y
  [../]

  [./penetrate12]
    type = PenetrationAux
    variable = closest_point_y
    boundary = 12
    paired_boundary = 11
    quantity = closest_point_y
  [../]

  [./penetrate13]
    type = PenetrationAux
    variable = element_id
    boundary = 11
    paired_boundary = 12
    quantity = element_id
  [../]

  [./penetrate14]
    type = PenetrationAux
    variable = element_id
    boundary = 12
    paired_boundary = 11
    quantity = element_id
  [../]

  [./penetrate15]
    type = PenetrationAux
    variable = side
    boundary = 11
    paired_boundary = 12
    quantity = side
  [../]

  [./penetrate16]
    type = PenetrationAux
    variable = side
    boundary = 12
    paired_boundary = 11
    quantity = side
  [../]
[]

[BCs]
  [./b1x]
    type = DirichletBC
    variable = disp_x
    boundary = 1
    value = 0
  [../]

  [./b1y]
    type = DirichletBC
    variable = disp_y
    boundary = 1
    value = 0
  [../]

  [./b2x]
    type = DirichletBC
    variable = disp_x
    boundary = 2
    value = 0
  [../]

  [./b2y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 2
    function = disp_y
  [../]
[]

[Functions]
  [./disp_y]
    type = PiecewiseLinear
    x = '0.0 0.25 0.75 1.0'
    y = '0.0 2.0 -2.0  0.0'
  [../]
[]

[Executioner]
  type = Transient

  solve_type = 'PJFNK'
  petsc_options = '-snes_ksp_ew'

  nl_rel_tol = 1.e-9
  l_max_its = 10

  start_time = 0.0
  dt = 0.02
  end_time = 1.0
  [./Quadrature]
    order = THIRD
  [../]
[]

[Outputs]
  file_base = pl_test4qnns_out
  exodus = true
[]

[NodalNormals]
  boundary = 11
  corner_boundary = 20
[]

(modules/solid_mechanics/test/tests/1D_axisymmetric/axisymm_gps_small.i)

# this test checks the asixymmetric 1D generalized plane strain formulation using incremental small strains

[GlobalParams]
  displacements = disp_x
  scalar_out_of_plane_strain = scalar_strain_yy
[]

[Problem]
  coord_type = RZ
[]

[Mesh]
  file = line.e
[]

[Variables]
  [./disp_x]
  [../]
  [./scalar_strain_yy]
    order = FIRST
    family = SCALAR
  [../]
[]

[AuxVariables]
  [./strain_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./strain_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./strain_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./temp]
    initial_condition = 580.0
  [../]
[]

[Functions]
  [./temp]
    type = PiecewiseLinear
    x = '0   1   2'
    y = '580 580 680'
  [../]
  [./disp_x]
    type = PiecewiseLinear
    x = '0 1'
    y = '0 2e-6'
  [../]
[]

[Kernels]
  [SolidMechanics]
  [../]
[]

[Physics]
  [SolidMechanics]
    [./GeneralizedPlaneStrain]
      [./gps]
      [../]
    [../]
  [../]
[]

[AuxKernels]
  [./strain_xx]
    type = RankTwoAux
    rank_two_tensor = total_strain
    variable = strain_xx
    index_i = 0
    index_j = 0
  [../]
  [./strain_yy]
    type = RankTwoAux
    rank_two_tensor = total_strain
    variable = strain_yy
    index_i = 1
    index_j = 1
  [../]
  [./strain_zz]
    type = RankTwoAux
    rank_two_tensor = total_strain
    variable = strain_zz
    index_i = 2
    index_j = 2
  [../]
  [./stress_xx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xx
    index_i = 0
    index_j = 0
    execute_on = timestep_end
  [../]
  [./stress_yy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yy
    index_i = 1
    index_j = 1
    execute_on = timestep_end
  [../]
  [./stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zz
    index_i = 2
    index_j = 2
    execute_on = timestep_end
  [../]
  [./temp]
    type = FunctionAux
    variable = temp
    function = temp
    execute_on = 'timestep_begin'
  [../]
[]

[BCs]
  [./no_x]
    type = DirichletBC
    boundary = 1
    value = 0
    variable = disp_x
  [../]
  [./disp_x]
    type = FunctionDirichletBC
    boundary = 2
    function = disp_x
    variable = disp_x
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeIsotropicElasticityTensor
    youngs_modulus = 3600
    poissons_ratio = 0.2
  [../]

  [./strain]
    type = ComputeAxisymmetric1DSmallStrain
    eigenstrain_names = eigenstrain
    scalar_out_of_plane_strain = scalar_strain_yy
  [../]

  [./thermal_strain]
    type = ComputeThermalExpansionEigenstrain
    thermal_expansion_coeff = 1e-8
    temperature = temp
    stress_free_temperature = 580
    eigenstrain_name = eigenstrain
  [../]

  [./stress]
    type = ComputeLinearElasticStress
  [../]
[]

[Executioner]
  type = Transient
  solve_type = 'PJFNK'
  line_search = 'none'

  l_max_its = 50
  l_tol = 1e-6
  nl_max_its = 15
  nl_rel_tol = 1e-8
  nl_abs_tol = 1e-10
  start_time = 0
  end_time = 2
  num_steps = 2
[]

[Outputs]
  exodus = true
  console = true
[]

(modules/solid_mechanics/test/tests/smeared_cracking/cracking_rz.i)

#

[Mesh]
  file = cracking_rz_test.e
[]

[Problem]
  coord_type = RZ
[]

[GlobalParams]
  displacements = 'disp_x disp_y'
[]

[Functions]
  [./displ]
    type = PiecewiseLinear
    x = '0 1 2 3  4'
    y = '0 1 0 -1 0'
  [../]
[]

[Physics/SolidMechanics/QuasiStatic]
  [./all]
    strain = FINITE
    add_variables = true
    generate_output = 'stress_xx stress_yy stress_zz stress_xy stress_yz stress_zx'
  [../]
[]

[BCs]
  [./pull]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 2
    function = displ
  [../]
  [./left]
    type = DirichletBC
    variable = disp_x
    boundary = 1
    value = 0.0
  [../]
  [./bottom]
    type = DirichletBC
    variable = disp_y
    boundary = 3
    value = 0.0
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeIsotropicElasticityTensor
    youngs_modulus = 4.0e7
    poissons_ratio = 0.0
  [../]
  [./elastic_stress]
    type = ComputeSmearedCrackingStress
    cracking_stress = 1.68e6
    cracked_elasticity_type = FULL
    softening_models = abrupt_softening
  [../]
  [./abrupt_softening]
    type = AbruptSoftening
  [../]
[]

[Executioner]
  type = Transient

  solve_type = PJFNK


  petsc_options_iname = '-ksp_gmres_restart'
  petsc_options_value = '101               '


  line_search = 'none'


  l_max_its = 100
  nl_max_its = 100
  nl_rel_tol = 1e-8
  nl_abs_tol = 1e-2
  l_tol = 1e-5
  start_time = 0.0
  end_time = 0.1
  dt = 0.025
[]

[Outputs]
  exodus = true
[]

(modules/xfem/test/tests/solid_mechanics_basic/crack_propagation_2d.i)

[GlobalParams]
  displacements = 'disp_x disp_y'
  volumetric_locking_correction = true
[]

[XFEM]
  qrule = volfrac
  output_cut_plane = true
  use_crack_growth_increment = true
  crack_growth_increment = 0.2
[]

[Mesh]
  type = GeneratedMesh
  dim = 2
  nx = 11
  ny = 11
  xmin = 0.0
  xmax = 1.0
  ymin = 0.0
  ymax = 1.0
  elem_type = QUAD4
[]

[UserObjects]
  [./line_seg_cut_uo]
    type = LineSegmentCutUserObject
    cut_data = '1.0  0.5  0.7  0.5'
    time_start_cut = 0.0
    time_end_cut = 0.0
  [../]
  [./xfem_marker_uo]
    type = XFEMRankTwoTensorMarkerUserObject
    execute_on = timestep_end
    tensor = stress
    scalar_type = MaxPrincipal
    threshold = 5e+1
    average = true
  [../]
[]

[Physics/SolidMechanics/QuasiStatic]
  [./all]
    strain = FINITE
    planar_formulation = plane_strain
    add_variables = true
  [../]
[]

[Functions]
  [./pull]
    type = PiecewiseLinear
    x='0  50   100'
    y='0  0.02 0.1'
  [../]
[]

[BCs]
  [./bottomx]
    type = DirichletBC
    boundary = bottom
    variable = disp_x
    value = 0.0
  [../]
  [./bottomy]
    type = DirichletBC
    boundary = bottom
    variable = disp_y
    value = 0.0
  [../]
  [./topx]
    type = DirichletBC
    boundary = top
    variable = disp_x
    value = 0.0
  [../]
  [./topy]
    type = FunctionDirichletBC
    boundary = top
    variable = disp_y
    function = pull
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeIsotropicElasticityTensor
    youngs_modulus = 1e6
    poissons_ratio = 0.3
    block = 0
  [../]

  [./_elastic_strain]
    type = ComputeFiniteStrainElasticStress
    block = 0
  [../]
[]

[Executioner]
  type = Transient

  solve_type = 'PJFNK'
  petsc_options_iname = '-ksp_gmres_restart -pc_type -pc_hypre_type -pc_hypre_boomeramg_max_iter'
  petsc_options_value = '201                hypre    boomeramg      8'

  line_search = 'none'

  [./Predictor]
    type = SimplePredictor
    scale = 1.0
  [../]

# controls for linear iterations
  l_max_its = 100
  l_tol = 1e-2

# controls for nonlinear iterations
  nl_max_its = 15
  nl_rel_tol = 1e-14
  nl_abs_tol = 1e-9

# time control
  start_time = 0.0
  dt = 1.0
  end_time = 2.0
  num_steps = 5000

  max_xfem_update = 1
[]

[Outputs]
  file_base = crack_propagation_2d_out
  exodus = true
  execute_on = timestep_end
  [./console]
    type = Console
    output_linear = true
  [../]
[]

(modules/solid_mechanics/test/tests/poro/vol_expansion_action.i)

# This is identical to vol_expansion.i, but uses the PoroMechanics action
#
# Apply an increasing porepressure, with zero mechanical forces,
# and observe the corresponding volumetric expansion
#
# P = t
# With the Biot coefficient being 2.0, the effective stresses should be
# stress_xx = stress_yy = stress_zz = 2t
# With bulk modulus = 1 then should have
# vol_strain = strain_xx + strain_yy + strain_zz = 2t.
# I use a single element lying 0<=x<=1, 0<=y<=1 and 0<=z<=1, and
# fix the left, bottom and back boundaries appropriately,
# so at the point x=y=z=1, the displacements should be
# disp_x = disp_y = disp_z = 2t/3 (small strain physics is used)
[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = 0
  xmax = 1
  ymin = 0
  ymax = 1
  zmin = 0
  zmax = 1
[]

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
  block = 0
[]

[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
  [./p]
  [../]
[]

[BCs]
  [./p]
    type = FunctionDirichletBC
    boundary = 'bottom top'
    variable = p
    function = t
  [../]
  [./xmin]
    type = DirichletBC
    boundary = left
    variable = disp_x
    value = 0
  [../]
  [./ymin]
    type = DirichletBC
    boundary = bottom
    variable = disp_y
    value = 0
  [../]
  [./zmin]
    type = DirichletBC
    boundary = back
    variable = disp_z
    value = 0
  [../]
[]


[Kernels]
  [./PoroMechanics]
    porepressure = p
    displacements = 'disp_x disp_y disp_z'
  [../]
  [./unimportant_p]
    type = Diffusion
    variable = p
  [../]
[]

[AuxVariables]
  [./stress_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]

[AuxKernels]
  [./stress_xx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xx
    index_i = 0
    index_j = 0
  [../]
  [./stress_xy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xy
    index_i = 0
    index_j = 1
  [../]
  [./stress_xz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xz
    index_i = 0
    index_j = 2
  [../]
  [./stress_yy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yy
    index_i = 1
    index_j = 1
  [../]
  [./stress_yz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yz
    index_i = 1
    index_j = 2
  [../]
  [./stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zz
    index_i = 2
    index_j = 2
  [../]
[]

[Postprocessors]
  [./corner_x]
    type = PointValue
    point = '1 1 1'
    variable = disp_x
  [../]
  [./corner_y]
    type = PointValue
    point = '1 1 1'
    variable = disp_y
  [../]
  [./corner_z]
    type = PointValue
    point = '1 1 1'
    variable = disp_z
  [../]
[]


[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    # bulk modulus = 1, poisson ratio = 0.2
    C_ijkl = '0.5 0.75'
    fill_method = symmetric_isotropic
  [../]
  [./strain]
    type = ComputeSmallStrain
    displacements = 'disp_x disp_y disp_z'
  [../]
  [./stress]
    type = ComputeLinearElasticStress
  [../]
  [./biot]
    type = GenericConstantMaterial
    prop_names = biot_coefficient
    prop_values = 2.0
  [../]
[]

[Preconditioning]
  [./andy]
    type = SMP
    full = true
    petsc_options_iname = '-ksp_type -pc_type -snes_atol -snes_rtol -snes_max_it -ksp_atol -ksp_rtol'
    petsc_options_value = 'gmres bjacobi 1E-10 1E-10 10 1E-15 1E-10'
  [../]
[]

[Executioner]
  type = Transient
  solve_type = Newton
  start_time = 0
  dt = 0.1
  end_time = 1
[]

[Outputs]
  file_base = vol_expansion_action
  exodus = true
[]

(modules/navier_stokes/test/tests/finite_element/ins/jeffery_hamel/wedge_natural.i)

# This input file solves the Jeffery-Hamel problem with the exact
# solution's outlet BC replaced by a natural BC.  This problem does
# not converge to the analytical solution, although the flow at the
# outlet still "looks" reasonable.
[GlobalParams]
  gravity = '0 0 0'

  # Params used by the WedgeFunction for computing the exact solution.
  # The value of K is only required for comparing the pressure to the
  # exact solution, and is computed by the associated jeffery_hamel.py
  # script.
  alpha_degrees = 15
  Re = 30
  K = -9.78221333616
  f = f_theta
[]

[Mesh]
  file = wedge_8x12.e
[]

[Variables]
  [./vel_x]
    order = SECOND
    family = LAGRANGE
  [../]
  [./vel_y]
    order = SECOND
    family = LAGRANGE
  [../]
  [./p]
    order = FIRST
    family = LAGRANGE
  [../]
[]

[Kernels]
  [./mass]
    type = INSMass
    variable = p
    u = vel_x
    v = vel_y
    pressure = p
  [../]
  [./x_momentum_time]
    type = INSMomentumTimeDerivative
    variable = vel_x
  [../]
  [./x_momentum_space]
    type = INSMomentumLaplaceForm
    variable = vel_x
    u = vel_x
    v = vel_y
    pressure = p
    component = 0
  [../]
  [./y_momentum_time]
    type = INSMomentumTimeDerivative
    variable = vel_y
  [../]
  [./y_momentum_space]
    type = INSMomentumLaplaceForm
    variable = vel_y
    u = vel_x
    v = vel_y
    pressure = p
    component = 1
  [../]
[]

[BCs]
  [./vel_x_no_slip]
    type = DirichletBC
    variable = vel_x
    boundary = 'top_wall bottom_wall'
    value = 0.0
  [../]
  [./vel_y_no_slip]
    type = DirichletBC
    variable = vel_y
    boundary = 'top_wall bottom_wall'
    value = 0.0
  [../]
  [./vel_x_inlet]
    type = FunctionDirichletBC
    variable = vel_x
    boundary = 'inlet'
    function = 'vel_x_exact'
  [../]
  [./vel_y_inlet]
    type = FunctionDirichletBC
    variable = vel_y
    boundary = 'inlet'
    function = 'vel_y_exact'
  [../]
[]

[Materials]
  [./const]
    type = GenericConstantMaterial
    block = 1
    prop_names = 'rho mu'
    prop_values = '1  1'
  [../]
[]

[Preconditioning]
  [./SMP_NEWTON]
    type = SMP
    full = true
    solve_type = NEWTON
  [../]
[]

[Executioner]
  type = Transient
  dt = 1.e-2
  dtmin = 1.e-2
  num_steps = 5
  petsc_options_iname = '-ksp_gmres_restart -pc_type -sub_pc_type -sub_pc_factor_levels'
  petsc_options_value = '300                bjacobi  ilu          4'
  line_search = none
  nl_rel_tol = 1e-13
  nl_abs_tol = 1e-11
  nl_max_its = 10
  l_tol = 1e-6
  l_max_its = 300
[]

[Outputs]
  exodus = true
[]

[Functions]
  [./f_theta]
    # Non-dimensional solution values f(eta), 0 <= eta <= 1 for
    # alpha=15deg, Re=30.  Note: this introduces an input file
    # ordering dependency: this Function must appear *before* the two
    # function below which use it since apparently proper dependency
    # resolution is not done in this scenario.
    type = PiecewiseLinear
    data_file = 'f.csv'
    format = 'columns'
  [../]
  [./vel_x_exact]
    type = WedgeFunction
    var_num = 0
    mu = 1
    rho = 1
  [../]
  [./vel_y_exact]
    type = WedgeFunction
    var_num = 1
    mu = 1
    rho = 1
  [../]
[]

(modules/solid_mechanics/test/tests/multi/three_surface12.i)

# Plasticit models:
# SimpleTester0 with a = 0 and b = 1 and strength = 1
# SimpleTester1 with a = 1 and b = 0 and strength = 1
# SimpleTester2 with a = 1 and b = 1 and strength = 3
#
# Lame lambda = 0 (Poisson=0).  Lame mu = 0.5E6
#
# A single element is stretched by 1.5E-6m in y direction and 1.5E-6 in z direction.
# trial stress_yy = .15 and stress_zz = 1.5
#
# Then SimpleTester0 and SimpleTester1 should activate and the algorithm will return to
# stress_zz=1=stress_yy
# internal0 should be 0.5 and internal1 should be 0.5

[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]


[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
[]

[Kernels]
  [SolidMechanics]
    displacements = 'disp_x disp_y disp_z'
  [../]
[]


[BCs]
  [./x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'front back'
    function = '0E-6*x'
  [../]
  [./y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'front back'
    function = '1.5E-6*y'
  [../]
  [./z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'front back'
    function = '1.5E-6*z'
  [../]
[]

[AuxVariables]
  [./stress_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f0]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f1]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f2]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./int0]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./int1]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./int2]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]

[AuxKernels]
  [./stress_xx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xx
    index_i = 0
    index_j = 0
  [../]
  [./stress_xy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xy
    index_i = 0
    index_j = 1
  [../]
  [./stress_xz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xz
    index_i = 0
    index_j = 2
  [../]
  [./stress_yy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yy
    index_i = 1
    index_j = 1
  [../]
  [./stress_yz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yz
    index_i = 1
    index_j = 2
  [../]
  [./stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zz
    index_i = 2
    index_j = 2
  [../]
  [./f0]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 0
    variable = f0
  [../]
  [./f1]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 1
    variable = f1
  [../]
  [./f2]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 2
    variable = f2
  [../]
  [./int0]
    type = MaterialStdVectorAux
    property = plastic_internal_parameter
    factor = 1E6
    index = 0
    variable = int0
  [../]
  [./int1]
    type = MaterialStdVectorAux
    property = plastic_internal_parameter
    factor = 1E6
    index = 1
    variable = int1
  [../]
  [./int2]
    type = MaterialStdVectorAux
    property = plastic_internal_parameter
    factor = 1E6
    index = 2
    variable = int2
  [../]
[]

[Postprocessors]
  [./s_xx]
    type = PointValue
    point = '0 0 0'
    variable = stress_xx
  [../]
  [./s_xy]
    type = PointValue
    point = '0 0 0'
    variable = stress_xy
  [../]
  [./s_xz]
    type = PointValue
    point = '0 0 0'
    variable = stress_xz
  [../]
  [./s_yy]
    type = PointValue
    point = '0 0 0'
    variable = stress_yy
  [../]
  [./s_yz]
    type = PointValue
    point = '0 0 0'
    variable = stress_yz
  [../]
  [./s_zz]
    type = PointValue
    point = '0 0 0'
    variable = stress_zz
  [../]
  [./f0]
    type = PointValue
    point = '0 0 0'
    variable = f0
  [../]
  [./f1]
    type = PointValue
    point = '0 0 0'
    variable = f1
  [../]
  [./f2]
    type = PointValue
    point = '0 0 0'
    variable = f2
  [../]
  [./int0]
    type = PointValue
    point = '0 0 0'
    variable = int0
  [../]
  [./int1]
    type = PointValue
    point = '0 0 0'
    variable = int1
  [../]
  [./int2]
    type = PointValue
    point = '0 0 0'
    variable = int2
  [../]
[]

[UserObjects]
  [./simple0]
    type = SolidMechanicsPlasticSimpleTester
    a = 0
    b = 1
    strength = 1
    yield_function_tolerance = 1.0E-9
    internal_constraint_tolerance = 1.0E-9
  [../]
  [./simple1]
    type = SolidMechanicsPlasticSimpleTester
    a = 1
    b = 0
    strength = 1
    yield_function_tolerance = 1.0E-9
    internal_constraint_tolerance = 1.0E-9
  [../]
  [./simple2]
    type = SolidMechanicsPlasticSimpleTester
    a = 1
    b = 1
    strength = 3
    yield_function_tolerance = 1.0E-9
    internal_constraint_tolerance = 1.0E-9
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    block = 0
    fill_method = symmetric_isotropic
    C_ijkl = '0 0.5E6'
  [../]
  [./strain]
    type = ComputeFiniteStrain
    block = 0
    displacements = 'disp_x disp_y disp_z'
  [../]
  [./multi]
    type = ComputeMultiPlasticityStress
    block = 0
    ep_plastic_tolerance = 1E-9
    plastic_models = 'simple0 simple1 simple2'
    max_NR_iterations = 2
    min_stepsize = 1
    debug_fspb = crash
    debug_jac_at_stress = '10 0 0 0 10 0 0 0 10'
    debug_jac_at_pm = '1 1'
    debug_jac_at_intnl = '1 1'
    debug_stress_change = 1E-5
    debug_pm_change = '1E-6 1E-6'
    debug_intnl_change = '1E-6 1E-6'
  [../]
[]


[Executioner]
  end_time = 1
  dt = 1
  type = Transient
[]


[Outputs]
  file_base = three_surface12
  exodus = false
  [./csv]
    type = CSV
    [../]
[]

(modules/solid_mechanics/test/tests/crystal_plasticity/hcp_single_crystal/update_method_hcp_aprismatic_active.i)

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]

[Mesh]
  [cube]
    type = GeneratedMeshGenerator
    dim = 3
    nx = 2
    ny = 2
    nz = 2
    elem_type = HEX8
  []
  [center_node]
    type = BoundingBoxNodeSetGenerator
    input = cube
    new_boundary = 'center_point'
    top_right = '0.51 0.51 0'
    bottom_left = '0.49 0.49 0'
  []
  [back_edge_y]
    type = BoundingBoxNodeSetGenerator
    input = center_node
    new_boundary = 'back_edge_y'
    bottom_left = '0.9 0.5 0'
    top_right = '1.1 0.5 0'
  []
  [back_edge_x]
    type = BoundingBoxNodeSetGenerator
    input = back_edge_y
    new_boundary = back_edge_x
    bottom_left = '0.5 0.9 0'
    top_right =   '0.5 1.0 0'
  []
[]

[AuxVariables]
  [temperature]
    initial_condition = 300
  []
  [pk2]
    order = CONSTANT
    family = MONOMIAL
  []
  [fp_zz]
    order = CONSTANT
    family = MONOMIAL
  []
  [resolved_shear_stress_0]
   order = CONSTANT
   family = MONOMIAL
  []
  [resolved_shear_stress_1]
   order = CONSTANT
   family = MONOMIAL
  []
  [resolved_shear_stress_2]
   order = CONSTANT
   family = MONOMIAL
  []
  [resolved_shear_stress_12]
   order = CONSTANT
   family = MONOMIAL
  []
  [resolved_shear_stress_13]
   order = CONSTANT
   family = MONOMIAL
  []
  [forest_dislocations_0]
   order = CONSTANT
   family = MONOMIAL
  []
  [forest_dislocations_1]
   order = CONSTANT
   family = MONOMIAL
  []
  [forest_dislocations_2]
   order = CONSTANT
   family = MONOMIAL
  []
  [forest_dislocations_12]
   order = CONSTANT
   family = MONOMIAL
  []
  [forest_dislocations_13]
   order = CONSTANT
   family = MONOMIAL
  []
  [substructure_density]
   order = CONSTANT
   family = MONOMIAL
  []
  [slip_resistance_0]
   order = CONSTANT
   family = MONOMIAL
  []
  [slip_resistance_1]
   order = CONSTANT
   family = MONOMIAL
  []
  [slip_resistance_2]
   order = CONSTANT
   family = MONOMIAL
  []
  [slip_resistance_12]
   order = CONSTANT
   family = MONOMIAL
  []
  [slip_resistance_13]
   order = CONSTANT
   family = MONOMIAL
  []
[]

[Physics/SolidMechanics/QuasiStatic/all]
  strain = FINITE
  incremental = true
  add_variables = true
[]

[AuxKernels]
  [pk2]
    type = RankTwoAux
    variable = pk2
    rank_two_tensor = second_piola_kirchhoff_stress
    index_j = 2
    index_i = 2
    execute_on = timestep_end
  []
  [fp_zz]
    type = RankTwoAux
    variable = fp_zz
    rank_two_tensor = plastic_deformation_gradient
    index_j = 2
    index_i = 2
    execute_on = timestep_end
  []
  [tau_0]
    type = MaterialStdVectorAux
    variable = resolved_shear_stress_0
    property = applied_shear_stress
    index = 0
    execute_on = timestep_end
  []
  [tau_1]
    type = MaterialStdVectorAux
    variable = resolved_shear_stress_1
    property = applied_shear_stress
    index = 1
    execute_on = timestep_end
  []
  [tau_2]
    type = MaterialStdVectorAux
    variable = resolved_shear_stress_2
    property = applied_shear_stress
    index = 2
    execute_on = timestep_end
  []
  [tau_12]
    type = MaterialStdVectorAux
    variable = resolved_shear_stress_12
    property = applied_shear_stress
    index = 12
    execute_on = timestep_end
  []
  [tau_13]
    type = MaterialStdVectorAux
    variable = resolved_shear_stress_13
    property = applied_shear_stress
    index = 13
    execute_on = timestep_end
  []

  [forest_dislocations_0]
    type = MaterialStdVectorAux
    variable = forest_dislocations_0
    property = forest_dislocation_density
    index = 0
    execute_on = timestep_end
  []
  [forest_dislocations_1]
    type = MaterialStdVectorAux
    variable = forest_dislocations_1
    property = forest_dislocation_density
    index = 1
    execute_on = timestep_end
  []
  [forest_dislocations_2]
    type = MaterialStdVectorAux
    variable = forest_dislocations_2
    property = forest_dislocation_density
    index = 2
    execute_on = timestep_end
  []
  [forest_dislocations_12]
    type = MaterialStdVectorAux
    variable = forest_dislocations_12
    property = forest_dislocation_density
    index = 12
    execute_on = timestep_end
  []
  [forest_dislocations_13]
    type = MaterialStdVectorAux
    variable = forest_dislocations_13
    property = forest_dislocation_density
    index = 13
    execute_on = timestep_end
  []
  [substructure_density]
    type = MaterialRealAux
    variable = substructure_density
    property = total_substructure_density
    execute_on = timestep_end
  []
  [slip_resistance_0]
    type = MaterialStdVectorAux
    variable = slip_resistance_0
    property = slip_resistance
    index = 0
    execute_on = timestep_end
  []
  [slip_resistance_1]
    type = MaterialStdVectorAux
    variable = slip_resistance_1
    property = slip_resistance
    index = 1
    execute_on = timestep_end
  []
  [slip_resistance_2]
    type = MaterialStdVectorAux
    variable = slip_resistance_2
    property = slip_resistance
    index = 2
    execute_on = timestep_end
  []
  [slip_resistance_12]
    type = MaterialStdVectorAux
    variable = slip_resistance_12
    property = slip_resistance
    index = 12
    execute_on = timestep_end
  []
  [slip_resistance_13]
    type = MaterialStdVectorAux
    variable = slip_resistance_13
    property = slip_resistance
    index = 13
    execute_on = timestep_end
  []
[]

[BCs]
  [fix_y]
    type = DirichletBC
    variable = disp_y
    preset = true
    boundary = 'center_point back_edge_y'
    value = 0
  []
  [fix_x]
    type = DirichletBC
    variable = disp_x
    boundary = 'center_point back_edge_x'
    value = 0
  []
  [fix_z]
    type = DirichletBC
    variable = disp_z
    boundary = 'back'
    value = 0
  []
  [tdisp]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = front
    function = '0.001*t'
  []
[]

[Materials]
  [elasticity_tensor]
    type = ComputeElasticityTensorCP
    C_ijkl = '1.622e5 9.18e4 6.88e4 1.622e5 6.88e4 1.805e5 4.67e4 4.67e4 4.67e4' #alpha Ti, Alankar et al. Acta Materialia 59 (2011) 7003-7009
    fill_method = symmetric9
    euler_angle_1 = 164.5
    euler_angle_2 =  90.0
    euler_angle_3 =  15.3
  []
  [stress]
    type = ComputeMultipleCrystalPlasticityStress
    crystal_plasticity_models = 'trial_xtalpl'
    tan_mod_type = exact
  []
  [trial_xtalpl]
    type = CrystalPlasticityHCPDislocationSlipBeyerleinUpdate
    number_slip_systems = 15
    slip_sys_file_name = hcp_aprismatic_capyramidal_slip_sys.txt
    unit_cell_dimension = '2.934e-7 2.934e-7 4.657e-7' #Ti, in mm, https://materialsproject.org/materials/mp-46/
    temperature = temperature
    initial_forest_dislocation_density = 15.0e5
    initial_substructure_density = 1.0e3
    slip_system_modes = 2
    number_slip_systems_per_mode = '3 12'
    lattice_friction_per_mode = '0.5 5'
    effective_shear_modulus_per_mode = '4.7e4 4.7e4' #Ti, in MPa, https://materialsproject.org/materials/mp-46/
    burgers_vector_per_mode = '2.934e-7 6.586e-7' #Ti, in mm, https://materialsproject.org/materials/mp-46/
    slip_generation_coefficient_per_mode = '1e5 2e7'
    normalized_slip_activiation_energy_per_mode = '4e-3 3e-2'
    slip_energy_proportionality_factor_per_mode = '330 100'
    substructure_rate_coefficient_per_mode = '400 100'
    applied_strain_rate = 0.001
    gamma_o = 1.0e-3
    Hall_Petch_like_constant_per_mode = '2e-3 2e-3' #minimize impact
    grain_size = 20.0e-3 #20 microns
  []
[]

[Postprocessors]
  [pk2]
    type = ElementAverageValue
    variable = pk2
  []
  [fp_zz]
    type = ElementAverageValue
    variable = fp_zz
  []
  [tau_0]
    type = ElementAverageValue
    variable = resolved_shear_stress_0
  []
  [tau_1]
    type = ElementAverageValue
    variable = resolved_shear_stress_1
  []
  [tau_2]
    type = ElementAverageValue
    variable = resolved_shear_stress_2
  []
  [tau_12]
    type = ElementAverageValue
    variable = resolved_shear_stress_12
  []
  [tau_13]
    type = ElementAverageValue
    variable = resolved_shear_stress_13
  []

  [forest_dislocation_0]
    type = ElementAverageValue
    variable = forest_dislocations_0
  []
  [forest_dislocation_1]
    type = ElementAverageValue
    variable = forest_dislocations_1
  []
  [forest_dislocation_2]
    type = ElementAverageValue
    variable = forest_dislocations_2
  []
  [forest_dislocation_12]
    type = ElementAverageValue
    variable = forest_dislocations_12
  []
  [forest_dislocation_13]
    type = ElementAverageValue
    variable = forest_dislocations_13
  []
  [substructure_density]
    type = ElementAverageValue
    variable = substructure_density
  []

  [slip_resistance_0]
    type = ElementAverageValue
    variable = slip_resistance_0
  []
  [slip_resistance_1]
    type = ElementAverageValue
    variable = slip_resistance_1
  []
  [slip_resistance_2]
    type = ElementAverageValue
    variable = slip_resistance_2
  []
  [slip_resistance_12]
    type = ElementAverageValue
    variable = slip_resistance_12
  []
  [slip_resistance_13]
    type = ElementAverageValue
    variable = slip_resistance_13
  []
[]

[Preconditioning]
  [smp]
    type = SMP
    full = true
  []
[]

[Executioner]
  type = Transient
  solve_type = 'PJFNK'

  petsc_options_iname = '-pc_type -pc_asm_overlap -sub_pc_type -ksp_type -ksp_gmres_restart'
  petsc_options_value = ' asm      2              lu            gmres     200'
  nl_abs_tol = 1e-10
  nl_rel_tol = 1e-10
  nl_abs_step_tol = 1e-10
  nl_max_its = 20
  l_max_its = 50

  dt = 0.005
  dtmin = 1.0e-4
  dtmax = 0.1
  end_time = 0.09
[]

[Outputs]
  csv = true
[]

(modules/peridynamics/test/tests/failure_tests/2D_bond_status_convergence_BPD.i)


[GlobalParams]
  displacements = 'disp_x disp_y'
[]

[Mesh]
  type = PeridynamicsMesh
  horizon_number = 3
  cracks_start = '0.25 0.5 0'
  cracks_end = '0.75 0.5 0'

  [./gmg]
    type = GeneratedMeshGenerator
    dim = 2
    nx = 8
    ny = 8
  [../]
  [./gpd]
    type = MeshGeneratorPD
    input = gmg
    retain_fe_mesh = false
  [../]
[]

[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
[]

[AuxVariables]
  [./critical_stretch]
    family = MONOMIAL
    order = CONSTANT
  [../]
[]

[AuxKernels]
  [./bond_status]
    type = StretchBasedFailureCriterionPD
    critical_variable = critical_stretch
    variable = bond_status
  [../]
[]

[ICs]
  [./critical_stretch]
    type = ConstantIC
    variable = critical_stretch
    value = 0.001
  [../]
[]

[BCs]
  [./left_x]
    type = DirichletBC
    variable = disp_x
    boundary = 1003
    value = 0.0
  [../]
  [./top_y]
    type = DirichletBC
    variable = disp_y
    boundary = 1002
    value = 0.0
  [../]
  [./bottom_y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 1000
    function = '-0.001*t'
  [../]

  [./rbm_x]
    type = RBMPresetOldValuePD
    variable = disp_x
    boundary = 999
  [../]
  [./rbm_y]
    type = RBMPresetOldValuePD
    variable = disp_y
    boundary = 999
  [../]
[]

[Modules/Peridynamics/Mechanics/Master]
  [./all]
    formulation = BOND
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeIsotropicElasticityTensor
    youngs_modulus = 2e5
    poissons_ratio = 0.33
  [../]
  [./force_density]
    type = ComputeSmallStrainConstantHorizonMaterialBPD
  [../]
[]

[Postprocessors]
  [./bond_status_updated_times]
    type = BondStatusConvergedPostprocessorPD
  [../]
[]

[Preconditioning]
  [./SMP]
    type = SMP
    full = true
  [../]
[]

[Executioner]
  type = Transient
  solve_type = PJFNK
  line_search = none
  start_time = 0
  dt = 0.5
  end_time = 1

  fixed_point_max_its = 5
  accept_on_max_fixed_point_iteration = true
  custom_pp = bond_status_updated_times
  custom_abs_tol = 2
  disable_fixed_point_residual_norm_check = true
[]

[Outputs]
  file_base = 2D_bond_status_convergence_BPD
  exodus = true
[]

(modules/xfem/test/tests/nucleation_uo/nucleate_edge_bulk_crack_2d.i)

[GlobalParams]
  displacements = 'disp_x disp_y'
  volumetric_locking_correction = true
[]

[XFEM]
  geometric_cut_userobjects = 'cut_mesh2'
  qrule = volfrac
  output_cut_plane = true
[]

[Mesh]
  [gen]
    type = GeneratedMeshGenerator
    dim = 2
    nx = 60
    ny = 10
    xmin = -3
    xmax = 3
    ymin = 0.0
    ymax = 1.0
    elem_type = QUAD4
  []
  [top_left]
    type = BoundingBoxNodeSetGenerator
    new_boundary = pull_top_left
    bottom_left = '-3.01 0.99 0'
    top_right = '-2.99 1.01 0'
    input = gen
  []
  [top_mid_left]
    type = BoundingBoxNodeSetGenerator
    new_boundary = pull_mid_left
    bottom_left = '-1.01 0.99 0'
    top_right = '-0.99 1.01 0'
    input = top_left
  []
  [top_mid_right]
    type = BoundingBoxNodeSetGenerator
    new_boundary = pull_mid_right
    bottom_left = '0.99 0.99 0'
    top_right = '1.01 1.01 0'
    input = top_mid_left
  []
  [top_right]
    type = BoundingBoxNodeSetGenerator
    new_boundary = pull_top_right
    bottom_left = '2.99 0.99 0'
    top_right = '3.01 1.01 0'
    input = top_mid_right
  []

  [top_mid_left_ss]
    type = SideSetsFromBoundingBoxGenerator
    input = top_right
    bottom_left = '-2.21 0.89 0'
    top_right = '-1.79 1.01 0'
    boundary_new = top_mid_left_ss
    boundaries_old = top
  []
  [top_mid_ss]
    type = SideSetsFromBoundingBoxGenerator
    input = top_mid_left_ss
    bottom_left = '-0.21 0.89 0'
    top_right = '0.21 1.01 0'
    boundary_new = top_mid_ss
    boundaries_old = top
  []
  [top_mid_right_ss]
    type = SideSetsFromBoundingBoxGenerator
    input = top_mid_ss
    bottom_left = '1.79 0.89 0'
    top_right = '2.21 1.01 0'
    boundary_new = top_mid_right_ss
    boundaries_old = top
  []

  [nucleation_strip]
    # strip in middle of domain where cracks can nucleate
    type = ParsedSubdomainMeshGenerator
    input = top_mid_right_ss
    combinatorial_geometry = 'y > 0.39 & y < 0.51'
    block_id = 10
  []
[]

[DomainIntegral]
  integrals = 'InteractionIntegralKI InteractionIntegralKII'
  displacements = 'disp_x disp_y'
  crack_front_points_provider = cut_mesh2
  2d = true
  number_points_from_provider = 0
  crack_direction_method = CurvedCrackFront
  radius_inner = '0.15'
  radius_outer = '0.45'
  poissons_ratio = 0.3
  youngs_modulus = 207000
  block = 0
  incremental = false
[]

[UserObjects]
  [nucleate]
    type = MeshCut2DRankTwoTensorNucleation
    tensor = stress
    scalar_type = MaxPrincipal
    nucleation_threshold = nucleation_threshold
    # initiate_on_boundary = 'left right'
    nucleation_radius = .41
    nucleation_length = 0.21
  []
  [cut_mesh2]
    type = MeshCut2DFractureUserObject
    mesh_file = make_edge_crack_in.e
    k_critical = 230
    growth_increment = 0.11
    nucleate_uo = nucleate
    execute_on = 'XFEM_MARK'
  []
[]
[AuxVariables]
  [nucleation_threshold]
    order = CONSTANT
    family = MONOMIAL
  []
[]
[ICs]
  [nucleation_bulk]
    type = ConstantIC
    value = 10000
    variable = nucleation_threshold
    block = 0
  []
  [nucleation_weak]
    type = FunctionIC
    function = nucleation_x
    variable = nucleation_threshold
    block = 10
  []
[]

[Functions]
  [nucleation_x]
    type = ParsedFunction
    expression = 'A*cos(pi*x)+D'
    symbol_names = 'A D'
    symbol_values = '100 200'
  []
[]

[Physics/SolidMechanics/QuasiStatic]
  [all]
    strain = SMALL
    planar_formulation = PLANE_STRAIN
    add_variables = true
  []
[]

[Functions]
  [bc_pull_edge]
    type = ParsedFunction
    expression = 0.0004*t
  []
  [bc_pull_mid]
    type = ParsedFunction
    expression = 0.0005*t
  []
[]

[BCs]
  [top_edge_nodes]
    type = FunctionDirichletBC
    boundary = 'pull_top_left pull_top_right'
    variable = disp_y
    function = bc_pull_edge
  []
  [top_mid_nodes]
    type = FunctionDirichletBC
    boundary = 'pull_mid_left pull_mid_right'
    variable = disp_y
    function = bc_pull_mid
  []
  # [top_middle]
  #   type = NeumannBC
  #   boundary = 'top_mid_left_ss top_mid_ss top_mid_right_ss'
  #   variable = disp_y
  #   value = -2000
  # []
  [top_middle]
    type = DirichletBC
    boundary = 'top_mid_left_ss top_mid_ss top_mid_right_ss'
    variable = disp_y
    value = 0
  []
  [bottom_x]
    type = DirichletBC
    boundary = bottom
    variable = disp_x
    value = 0.0
  []
  [bottom_y]
    type = DirichletBC
    boundary = bottom
    variable = disp_y
    value = 0.0
  []
[]

[Materials]
  [elasticity_tensor]
    type = ComputeIsotropicElasticityTensor
    youngs_modulus = 207000
    poissons_ratio = 0.3
  []
  [stress]
    type = ComputeLinearElasticStress
  []
[]

[Executioner]
  type = Transient

  solve_type = 'NEWTON'
  petsc_options_iname = '-ksp_type -pc_type -pc_factor_mat_solver_package'
  petsc_options_value = 'gmres lu superlu_dist'

  line_search = 'none'

  [Predictor]
    type = SimplePredictor
    scale = 1.0
  []

  reuse_preconditioner = true
  reuse_preconditioner_max_linear_its = 25

  # controls for linear iterations
  l_max_its = 100
  l_tol = 1e-2

  # controls for nonlinear iterations
  nl_max_its = 15
  nl_rel_tol = 1e-8
  nl_abs_tol = 1e-9

  # time control
  start_time = 0.0
  dt = 1.0
  end_time = 10
  max_xfem_update = 100
[]

[Outputs]
  csv = true
  execute_on = FINAL
  # exodus = true
  # [xfemcutter]
  #   type = XFEMCutMeshOutput
  #   xfem_cutter_uo = cut_mesh2
  # []
  [console]
    type = Console
    output_linear = false
    output_nonlinear = false
  []
[]

(test/tests/time_steppers/timesequence_stepper/csvtimesequence.i)

[Mesh]
  type = GeneratedMesh
  dim = 2
  xmin = -1
  xmax =  1
  ymin = -1
  ymax =  1
  nx = 2
  ny = 2
  elem_type = QUAD9
[]

[Functions]
  [./exact_fn]
    type = ParsedFunction
    expression = t*t*(x*x+y*y)
  [../]

  [./forcing_fn]
    type = ParsedFunction
    expression = 2*t*(x*x+y*y)-4*t*t
  [../]
[]

[Variables]
  [./u]
    family = LAGRANGE
    order = SECOND
  [../]
[]

[ICs]
  [./u_var]
    type = FunctionIC
    variable = u
    function = exact_fn
  [../]
[]

[Kernels]
  [./td]
    type = TimeDerivative
    variable = u
  [../]

  [./diff]
    type = Diffusion
    variable = u
  [../]

  [./ffn]
    type = BodyForce
    variable = u
    function = forcing_fn
  [../]
[]

[BCs]
  [./all]
    type = FunctionDirichletBC
    variable = u
    boundary = 'left right top bottom'
    function = exact_fn
  [../]
[]

[Executioner]
  type = Transient
  end_time = 10
  [./TimeStepper]
    type = CSVTimeSequenceStepper
    file_name = timesequence.csv
    column_name = time1
  [../]
[]

[Outputs]
  exodus = true
[]

(test/tests/userobjects/nodal_patch_recovery/nodal_patch_recovery.i)

[Mesh]
  [gen]
    type = GeneratedMeshGenerator
    dim = 2
    nx = 10
    ny = 10
  []
[]

[UserObjects]
  [u_patch]
    type = NodalPatchRecoveryMaterialProperty
    patch_polynomial_order = FIRST
    property = 'u'
    execute_on = 'TIMESTEP_END'
  []
[]

[Variables]
  [v]
    order = FIRST
    family = LAGRANGE
  []
[]

[Kernels]
  [dt]
    type = TimeDerivative
    variable = v
  []
  [diff]
    type = Diffusion
    variable = v
  []
[]

[AuxVariables]
  [u_recovered]
  []
  [u_nodal]
  []
  [u_diff]
  []
[]

[AuxKernels]
  [u_recovered]
    type = NodalPatchRecoveryAux
    variable = u_recovered
    nodal_patch_recovery_uo = u_patch
    execute_on = 'TIMESTEP_END'
  []
  [u_nodal]
    type = ParsedAux
    variable = u_nodal
    expression = v^2
    coupled_variables = v
  []
  [u_diff]
    type = ParsedAux
    variable = u_diff
    expression = u_nodal-u_recovered
    coupled_variables = 'u_nodal u_recovered'
  []
[]

[BCs]
  [fix_left]
    type = FunctionDirichletBC
    variable = v
    boundary = 'left'
    function = y+1
  []
  [fix_right]
    type = DirichletBC
    variable = v
    boundary = 'right'
    value = 0
  []
[]

[Materials]
  [u]
    type = ParsedMaterial
    expression = v^2
    property_name = u
    coupled_variables = v
  []
[]

[Executioner]
  type = Transient
  solve_type = NEWTON

  petsc_options_iname = '-pc_type'
  petsc_options_value = 'lu'

  automatic_scaling = true

  dt = 0.4
  num_steps = 5

  nl_abs_tol = 1e-10
  nl_rel_tol = 1e-10
[]

[Outputs]
  exodus = true
  print_linear_residuals = false
[]

(modules/thermal_hydraulics/test/tests/components/hs_boundary_external_app_convection/plate.parent.i)

# This tests a temperature and heat transfer coefficient using the MultiApp system.
# Simple heat conduction problem with heat source is solved,
# to obtain an analytical solution:
# T(x,t) = 300 + 20t(x-1)^2
# The temperature is picked up by the child
# side of the solve, to use as ambiant temperature in a convective BC.
htc = 100

[Mesh]
  type = GeneratedMesh
  dim = 1
  xmax = 1
  nx = 10
[]

[Functions]
  [left_bc_fn]
    type = PiecewiseLinear
    x = '0   10'
    y = '300 500'
  []
[]

[Variables]
  [T]
  []
[]

[AuxVariables]
  [htc_ext]
    initial_condition = ${htc}
  []
[]

[Functions]
  [source_term]
    type = ParsedFunction
    expression = '20 * x * x - 40 * x + 20 - 40 * t'
  []
[]
[ICs]
  [T_ic]
    type = ConstantIC
    variable = T
    value = 300
  []
[]

[Kernels]
  [td]
    type = ADTimeDerivative
    variable = T
  []

  [diff]
    type = ADDiffusion
    variable = T
  []

  [source]
    type = BodyForce
    function = 'source_term'
    variable = T
  []
[]

[BCs]
  [left]
    type = FunctionDirichletBC
    variable = T
    boundary = left
    function = left_bc_fn
  []
  [right]
    type = NeumannBC
    variable = T
    boundary = right
    value = 0
  []
[]

[Executioner]
  type = Transient
  dt = 0.5
  end_time = 10
  nl_abs_tol = 1e-10
  abort_on_solve_fail = true
[]

[MultiApps]
  [thm]
    type = TransientMultiApp
    app_type = ThermalHydraulicsApp
    input_files = plate.i
    execute_on = TIMESTEP_END
  []
[]

[Transfers]
  [T_to_child]
    type = MultiAppGeneralFieldNearestLocationTransfer
    to_multi_app = thm
    source_variable = T
    variable = T_ext
  []
  [htc_to_child]
    type = MultiAppGeneralFieldNearestLocationTransfer
    to_multi_app = thm
    source_variable = htc_ext
    variable = htc_ext
  []
[]

[Outputs]
  exodus = true
[]

(modules/contact/test/tests/mortar_aux_kernels/block-dynamics-aux-fretting-wear-test.i)

starting_point = 0.5e-1
offset = -0.045

[GlobalParams]
  displacements = 'disp_x disp_y'
[]

[Mesh]
  file = long-bottom-block-1elem-blocks.e
[]

[Variables]
  [disp_x]
    block = '1 2'
  []
  [disp_y]
    block = '1 2'
  []
  [normal_lm]
    block = 3
    use_dual = true
  #  scaling = 1.0e-5
  []
  [frictional_lm]
    block = 3
    use_dual = true
    scaling = 1.0e-5
  []
[]

[ICs]
  [disp_y]
    block = 2
    variable = disp_y
    value = '${fparse starting_point + offset}'
    type = ConstantIC
  []
[]

[Kernels]
  [DynamicTensorMechanics]
    displacements = 'disp_x disp_y'
    generate_output = 'stress_xx stress_yy'
    strain = FINITE
    block = '1 2'
    stiffness_damping_coefficient = 0.04
    hht_alpha = 0.0
  []
  [inertia_x]
    type = InertialForce
    variable = disp_x
    velocity = vel_x
    acceleration = accel_x
    beta = 0.25
    gamma = 0.5
    alpha = 0
    eta = 0.0
    block = '1 2'
  []
  [inertia_y]
    type = InertialForce
    variable = disp_y
    velocity = vel_y
    acceleration = accel_y
    beta = 0.25
    gamma = 0.5
    alpha = 0
    eta = 0.0
    block = '1 2'
  []
[]

[Materials]
  [elasticity_2]
    type = ComputeIsotropicElasticityTensor
    block = '2'
    youngs_modulus = 1e6
    poissons_ratio = 0.3
  []
  [elasticity_1]
    type = ComputeIsotropicElasticityTensor
    block = '1'
    youngs_modulus = 1e8
    poissons_ratio = 0.3
  []
  [stress]
    type = ComputeFiniteStrainElasticStress
    block = '1 2'
  []
  [strain]
    type = ComputeFiniteStrain
    block = '1 2'
  []
  [density]
    type = GenericConstantMaterial
    block = '1 2'
    prop_names = 'density'
    prop_values = '7750'
  []
[]

[AuxVariables]
  [worn_depth]
    block = '3'
  []
  [gap_vel]
    block = '3'
  []
  [vel_x]
    block = '1 2'
  []
  [accel_x]
    block = '1 2'
  []
  [vel_y]
    block = '1 2'
  []
  [accel_y]
    block = '1 2'
  []
  [vel_z]
    block = '1 2'
  []
  [accel_z]
    block = '1 2'
  []
[]

[AuxKernels]
  [gap_vel]
    type = WeightedGapVelAux
    variable = gap_vel
    primary_boundary = 20
    secondary_boundary = 10
    primary_subdomain = 4
    secondary_subdomain = 3
    disp_x = disp_x
    disp_y = disp_y
  []
  [worn_depth]
    type = MortarArchardsLawAux
    variable = worn_depth
    primary_boundary = 20
    secondary_boundary = 10
    primary_subdomain = 4
    secondary_subdomain = 3
    displacements = 'disp_x disp_y'
    friction_coefficient = 0.5
    energy_wear_coefficient = 1.0e-6
    normal_pressure = normal_lm
    execute_on = 'TIMESTEP_END'
  []
  [accel_x]
    type = NewmarkAccelAux
    variable = accel_x
    displacement = disp_x
    velocity = vel_x
    beta = 0.25
    execute_on = 'linear timestep_end'
  []
  [vel_x]
    type = NewmarkVelAux
    variable = vel_x
    acceleration = accel_x
    gamma = 0.5
    execute_on = 'linear timestep_end'
  []
  [accel_y]
    type = NewmarkAccelAux
    variable = accel_y
    displacement = disp_y
    velocity = vel_y
    beta = 0.25
    execute_on = 'linear timestep_end'
  []
  [vel_y]
    type = NewmarkVelAux
    variable = vel_y
    acceleration = accel_y
    gamma = 0.5
    execute_on = 'linear timestep_end'
  []
[]

[UserObjects]
  [weighted_vel_uo]
    type = LMWeightedVelocitiesUserObject
    primary_boundary = 20
    secondary_boundary = 10
    primary_subdomain = 4
    secondary_subdomain = 3
    secondary_variable = disp_x
    lm_variable_normal = normal_lm
    lm_variable_tangential_one = frictional_lm
    disp_x = disp_x
    disp_y = disp_y
  []
[]

[Constraints]
  [weighted_gap_lm]
    type = ComputeDynamicFrictionalForceLMMechanicalContact
    primary_boundary = 20
    secondary_boundary = 10
    primary_subdomain = 4
    secondary_subdomain = 3
    variable = normal_lm
    disp_x = disp_x
    disp_y = disp_y
    use_displaced_mesh = true
    wear_depth = worn_depth
    c = 1e6
    c_t = 1e6
    normalize_c = true
    mu = 0.5
    friction_lm = frictional_lm
    capture_tolerance = 1.0e-5
    newmark_beta = 0.25
    newmark_gamma = 0.5
  []
  [normal_x]
    type = NormalMortarMechanicalContact
    primary_boundary = 20
    secondary_boundary = 10
    primary_subdomain = 4
    secondary_subdomain = 3
    variable = normal_lm
    secondary_variable = disp_x
    component = x
    use_displaced_mesh = true
    compute_lm_residuals = false
    weighted_gap_uo = weighted_vel_uo
  []
  [normal_y]
    type = NormalMortarMechanicalContact
    primary_boundary = 20
    secondary_boundary = 10
    primary_subdomain = 4
    secondary_subdomain = 3
    variable = normal_lm
    secondary_variable = disp_y
    component = y
    use_displaced_mesh = true
    weighted_gap_uo = weighted_vel_uo
  []
  [tangential_x]
    type = TangentialMortarMechanicalContact
    primary_boundary = 20
    secondary_boundary = 10
    primary_subdomain = 4
    secondary_subdomain = 3
    variable = frictional_lm
    secondary_variable = disp_x
    component = x
    use_displaced_mesh = true
    compute_lm_residuals = false
    weighted_velocities_uo = weighted_vel_uo
  []
  [tangential_y]
    type = TangentialMortarMechanicalContact
    primary_boundary = 20
    secondary_boundary = 10
    primary_subdomain = 4
    secondary_subdomain = 3
    variable = frictional_lm
    secondary_variable = disp_y
    component = y
    use_displaced_mesh = true
    compute_lm_residuals = false
    weighted_velocities_uo = weighted_vel_uo
  []
[]

[BCs]
  [botx]
    type = DirichletBC
    variable = disp_x
    boundary = 40
    value = 0.0
  []
  [boty]
    type = DirichletBC
    variable = disp_y
    boundary = 40
    value = 0.0
  []
  [topy]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 30
    function = '${starting_point} * cos(4.0 * pi / 4 * t) + ${offset}'
  []
  [leftx]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 50
    function = '1e-5 * (cos(32.0 * pi / 4 * t) - 1.0)'
  []
[]

[Executioner]
  type = Transient
  end_time = 0.5
  dt = 0.05
  dtmin = .002
  solve_type = 'NEWTON'
  petsc_options = '-snes_converged_reason -ksp_converged_reason -pc_svd_monitor '
                  '-snes_linesearch_monitor -snes_ksp_ew'
  petsc_options_iname = '-pc_type -pc_factor_mat_solver_type -pc_factor_shift_type -pc_factor_shift_amount'
  petsc_options_value = 'lu       superlu_dist                  NONZERO               1e-15'
  nl_max_its = 40
  l_max_its = 15
  line_search = none
  snesmf_reuse_base = true

  [TimeIntegrator]
    type = NewmarkBeta
    beta = 0.25
    gamma = 0.5
  []
[]

[Debug]
  show_var_residual_norms = true
[]

[Outputs]
  exodus = true
[]

[Preconditioning]
  [smp]
    type = SMP
    full = true
  []
[]

[Postprocessors]
  active = 'contact'
  [contact]
    type = ContactDOFSetSize
    variable = normal_lm
    subdomain = '3'
    execute_on = 'nonlinear timestep_end'
  []
[]

(modules/solid_mechanics/test/tests/capped_weak_plane/small_deform1.i)

# Elastic deformation.
# With Lame lambda=0 and Lame mu=1, applying the following
# deformation to the zmax surface of a unit cube:
# disp_x = 8*t
# disp_y = 6*t
# disp_z = t
# should yield stress:
# stress_xz = 8*t
# stress_xy = 6*t
# stress_zz = 2*t
[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]


[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
[]

[Kernels]
  [SolidMechanics]
    displacements = 'disp_x disp_y disp_z'
  [../]
[]

[BCs]
  [./bottomx]
    type = DirichletBC
    variable = disp_x
    boundary = back
    value = 0.0
  [../]
  [./bottomy]
    type = DirichletBC
    variable = disp_y
    boundary = back
    value = 0.0
  [../]
  [./bottomz]
    type = DirichletBC
    variable = disp_z
    boundary = back
    value = 0.0
  [../]

  [./topx]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = front
    function = 8*t
  [../]
  [./topy]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = front
    function = 6*t
  [../]
  [./topz]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = front
    function = t
  [../]
[]

[AuxVariables]
  [./stress_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./strainp_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./strainp_xy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./strainp_xz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./strainp_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./strainp_yz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./strainp_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]

[AuxKernels]
  [./stress_xx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xx
    index_i = 0
    index_j = 0
  [../]
  [./stress_xy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xy
    index_i = 0
    index_j = 1
  [../]
  [./stress_xz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xz
    index_i = 0
    index_j = 2
  [../]
  [./stress_yy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yy
    index_i = 1
    index_j = 1
  [../]
  [./stress_yz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yz
    index_i = 1
    index_j = 2
  [../]
  [./stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zz
    index_i = 2
    index_j = 2
  [../]
  [./strainp_xx]
    type = RankTwoAux
    rank_two_tensor = combined_inelastic_strain
    variable = strainp_xx
    index_i = 0
    index_j = 0
  [../]
  [./strainp_xy]
    type = RankTwoAux
    rank_two_tensor = combined_inelastic_strain
    variable = strainp_xy
    index_i = 0
    index_j = 1
  [../]
  [./strainp_xz]
    type = RankTwoAux
    rank_two_tensor = combined_inelastic_strain
    variable = strainp_xz
    index_i = 0
    index_j = 2
  [../]
  [./strainp_yy]
    type = RankTwoAux
    rank_two_tensor = combined_inelastic_strain
    variable = strainp_yy
    index_i = 1
    index_j = 1
  [../]
  [./strainp_yz]
    type = RankTwoAux
    rank_two_tensor = combined_inelastic_strain
    variable = strainp_yz
    index_i = 1
    index_j = 2
  [../]
  [./strainp_zz]
    type = RankTwoAux
    rank_two_tensor = combined_inelastic_strain
    variable = strainp_zz
    index_i = 2
    index_j = 2
  [../]
[]

[Postprocessors]
  [./stress_xx]
    type = PointValue
    point = '0 0 0'
    variable = stress_xx
  [../]
  [./stress_xy]
    type = PointValue
    point = '0 0 0'
    variable = stress_xy
  [../]
  [./stress_xz]
    type = PointValue
    point = '0 0 0'
    variable = stress_xz
  [../]
  [./stress_yy]
    type = PointValue
    point = '0 0 0'
    variable = stress_yy
  [../]
  [./stress_yz]
    type = PointValue
    point = '0 0 0'
    variable = stress_yz
  [../]
  [./stress_zz]
    type = PointValue
    point = '0 0 0'
    variable = stress_zz
  [../]
  [./strainp_xx]
    type = PointValue
    point = '0 0 0'
    variable = strainp_xx
  [../]
  [./strainp_xy]
    type = PointValue
    point = '0 0 0'
    variable = strainp_xy
  [../]
  [./strainp_xz]
    type = PointValue
    point = '0 0 0'
    variable = strainp_xz
  [../]
  [./strainp_yy]
    type = PointValue
    point = '0 0 0'
    variable = strainp_yy
  [../]
  [./strainp_yz]
    type = PointValue
    point = '0 0 0'
    variable = strainp_yz
  [../]
  [./strainp_zz]
    type = PointValue
    point = '0 0 0'
    variable = strainp_zz
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    fill_method = symmetric_isotropic
    C_ijkl = '0 1'
  [../]
  [./strain]
    type = ComputeIncrementalStrain
    displacements = 'disp_x disp_y disp_z'
  [../]
  [./admissible]
    type = ComputeMultipleInelasticStress
    inelastic_models = ''
    perform_finite_strain_rotations = false
  [../]
[]

[Executioner]
  end_time = 2
  dt = 1
  type = Transient
[]

[Outputs]
  file_base = small_deform1
  csv = true
[]

(modules/solid_mechanics/test/tests/capped_weak_plane/small_deform_cosserat2.i)

# Plastic deformation.  Layered Cosserat with parameters:
# Young = 1.0
# Poisson = 0.2
# layer_thickness = 0.1
# joint_normal_stiffness = 0.25
# joint_shear_stiffness = 0.2
# These give the following nonzero components of the elasticity tensor:
# E_0000 = E_1111 = 1.043195
# E_0011 = E_1100 = 0.260799
# E_2222 = 0.02445
# E_0022 = E_1122 = E_2200 = E_2211 = 0.006112
# G = E_0101 = E_0110 = E_1001 = E_1010 = 0.416667
# Gt = E_0202 = E_0220 = E_2002 = E_1212 = E_1221 = E_2112 = 0.019084
# E_2020 = E_2121 = 0.217875
# They give the following nonzero components of the bending rigidity tensor:
# D = 8.68056E-5
# B_0101 = B_1010 = 7.92021E-4
# B_0110 = B_1001 = -1.584E-4
#
# Applying the following deformation to the zmax surface of a unit cube:
# disp_x = 8*t
# disp_y = 6*t
# disp_z = -t
# omega_x = omega_y = omega_z = 0
# yields the following strains:
# strain_xz = 8*t
# strain_yz = 6*t
# strain_zz = -t
# and all other components, and the curvature, are zero.
# The nonzero components of stress are therefore:
# stress_xx = stress_yy = -0.006112*t
# stress_xz = stress_zx = 0.152671*t
# stress_yz = stress_zy = 0.114504*t
# stress_zz = -0.0244499*t
# The moment stress is zero.
# So q = 0.19084*t and p = -0.0244*t.
#
# With large cohesion, but compressive strength = 0.0244499, the
# system is elastic up to t=1.  After that time
# stress_zz = -0.0244499 (for t>=1)
# and
# stress_xx = stress_yy = -0.006112 (for t>=1), since the
# elastic trial increment is exactly canelled by the Poisson's
# contribution from the return to the yield surface.
# The plastic strains are zero for t<=1, but for larger times:
# plastic_strain_zz = - (t - 1)  (for t>=1)
[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
  Cosserat_rotations = 'wc_x wc_y wc_z'
[]

[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
  [./wc_x]
  [../]
  [./wc_y]
  [../]
[]

[Kernels]
  [./cx_elastic]
    type = CosseratStressDivergenceTensors
    variable = disp_x
    component = 0
  [../]
  [./cy_elastic]
    type = CosseratStressDivergenceTensors
    variable = disp_y
    component = 1
  [../]
  [./cz_elastic]
    type = CosseratStressDivergenceTensors
    variable = disp_z
    component = 2
  [../]
  [./x_couple]
    type = StressDivergenceTensors
    variable = wc_x
    displacements = 'wc_x wc_y wc_z'
    component = 0
    base_name = couple
  [../]
  [./y_couple]
    type = StressDivergenceTensors
    variable = wc_y
    displacements = 'wc_x wc_y wc_z'
    component = 1
    base_name = couple
  [../]
  [./x_moment]
    type = MomentBalancing
    variable = wc_x
    component = 0
  [../]
  [./y_moment]
    type = MomentBalancing
    variable = wc_y
    component = 1
  [../]
[]

[BCs]
  [./bottomx]
    type = DirichletBC
    variable = disp_x
    boundary = back
    value = 0.0
  [../]
  [./bottomy]
    type = DirichletBC
    variable = disp_y
    boundary = back
    value = 0.0
  [../]
  [./bottomz]
    type = DirichletBC
    variable = disp_z
    boundary = back
    value = 0.0
  [../]

  [./topx]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = front
    function = 8*t
  [../]
  [./topy]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = front
    function = 6*t
  [../]
  [./topz]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = front
    function = -t
  [../]
[]

[AuxVariables]
  [./wc_z]
  [../]
  [./stress_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_zx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_zy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./couple_stress_xx]
    family = MONOMIAL
    order = CONSTANT
  [../]
  [./couple_stress_xy]
    family = MONOMIAL
    order = CONSTANT
  [../]
  [./couple_stress_xz]
    family = MONOMIAL
    order = CONSTANT
  [../]
  [./couple_stress_yx]
    family = MONOMIAL
    order = CONSTANT
  [../]
  [./couple_stress_yy]
    family = MONOMIAL
    order = CONSTANT
  [../]
  [./couple_stress_yz]
    family = MONOMIAL
    order = CONSTANT
  [../]
  [./couple_stress_zx]
    family = MONOMIAL
    order = CONSTANT
  [../]
  [./couple_stress_zy]
    family = MONOMIAL
    order = CONSTANT
  [../]
  [./couple_stress_zz]
    family = MONOMIAL
    order = CONSTANT
  [../]
  [./strainp_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./strainp_xy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./strainp_xz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./strainp_yx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./strainp_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./strainp_yz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./strainp_zx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./strainp_zy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./strainp_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./straint_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./straint_xy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./straint_xz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./straint_yx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./straint_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./straint_yz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./straint_zx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./straint_zy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./straint_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f_shear]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f_tensile]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f_compressive]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./intnl_shear]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./intnl_tensile]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./iter]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./ls]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]

[AuxKernels]
  [./stress_xx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xx
    index_i = 0
    index_j = 0
  [../]
  [./stress_xy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xy
    index_i = 0
    index_j = 1
  [../]
  [./stress_xz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xz
    index_i = 0
    index_j = 2
  [../]
  [./stress_yx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yx
    index_i = 1
    index_j = 0
  [../]
  [./stress_yy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yy
    index_i = 1
    index_j = 1
  [../]
  [./stress_yz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yz
    index_i = 1
    index_j = 2
  [../]
  [./stress_zx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zx
    index_i = 2
    index_j = 0
  [../]
  [./stress_zy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zy
    index_i = 2
    index_j = 1
  [../]
  [./stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zz
    index_i = 2
    index_j = 2
  [../]
  [./couple_stress_xx]
    type = RankTwoAux
    rank_two_tensor = couple_stress
    variable = couple_stress_xx
    index_i = 0
    index_j = 0
  [../]
  [./couple_stress_xy]
    type = RankTwoAux
    rank_two_tensor = couple_stress
    variable = couple_stress_xy
    index_i = 0
    index_j = 1
  [../]
  [./couple_stress_xz]
    type = RankTwoAux
    rank_two_tensor = couple_stress
    variable = couple_stress_xz
    index_i = 0
    index_j = 2
  [../]
  [./couple_stress_yx]
    type = RankTwoAux
    rank_two_tensor = couple_stress
    variable = couple_stress_yx
    index_i = 1
    index_j = 0
  [../]
  [./couple_stress_yy]
    type = RankTwoAux
    rank_two_tensor = couple_stress
    variable = couple_stress_yy
    index_i = 1
    index_j = 1
  [../]
  [./couple_stress_yz]
    type = RankTwoAux
    rank_two_tensor = couple_stress
    variable = couple_stress_yz
    index_i = 1
    index_j = 2
  [../]
  [./couple_stress_zx]
    type = RankTwoAux
    rank_two_tensor = couple_stress
    variable = couple_stress_zx
    index_i = 2
    index_j = 0
  [../]
  [./couple_stress_zy]
    type = RankTwoAux
    rank_two_tensor = couple_stress
    variable = couple_stress_zy
    index_i = 2
    index_j = 1
  [../]
  [./couple_stress_zz]
    type = RankTwoAux
    rank_two_tensor = couple_stress
    variable = couple_stress_zz
    index_i = 2
    index_j = 2
  [../]
  [./strainp_xx]
    type = RankTwoAux
    rank_two_tensor = plastic_strain
    variable = strainp_xx
    index_i = 0
    index_j = 0
  [../]
  [./strainp_xy]
    type = RankTwoAux
    rank_two_tensor = plastic_strain
    variable = strainp_xy
    index_i = 0
    index_j = 1
  [../]
  [./strainp_xz]
    type = RankTwoAux
    rank_two_tensor = plastic_strain
    variable = strainp_xz
    index_i = 0
    index_j = 2
  [../]
  [./strainp_yx]
    type = RankTwoAux
    rank_two_tensor = plastic_strain
    variable = strainp_yx
    index_i = 1
    index_j = 0
  [../]
  [./strainp_yy]
    type = RankTwoAux
    rank_two_tensor = plastic_strain
    variable = strainp_yy
    index_i = 1
    index_j = 1
  [../]
  [./strainp_yz]
    type = RankTwoAux
    rank_two_tensor = plastic_strain
    variable = strainp_yz
    index_i = 1
    index_j = 2
  [../]
  [./strainp_zx]
    type = RankTwoAux
    rank_two_tensor = plastic_strain
    variable = strainp_zx
    index_i = 2
    index_j = 0
  [../]
  [./strainp_zy]
    type = RankTwoAux
    rank_two_tensor = plastic_strain
    variable = strainp_zy
    index_i = 2
    index_j = 1
  [../]
  [./strainp_zz]
    type = RankTwoAux
    rank_two_tensor = plastic_strain
    variable = strainp_zz
    index_i = 2
    index_j = 2
  [../]
  [./straint_xx]
    type = RankTwoAux
    rank_two_tensor = total_strain
    variable = straint_xx
    index_i = 0
    index_j = 0
  [../]
  [./straint_xy]
    type = RankTwoAux
    rank_two_tensor = total_strain
    variable = straint_xy
    index_i = 0
    index_j = 1
  [../]
  [./straint_xz]
    type = RankTwoAux
    rank_two_tensor = total_strain
    variable = straint_xz
    index_i = 0
    index_j = 2
  [../]
  [./straint_yx]
    type = RankTwoAux
    rank_two_tensor = total_strain
    variable = straint_yx
    index_i = 1
    index_j = 0
  [../]
  [./straint_yy]
    type = RankTwoAux
    rank_two_tensor = total_strain
    variable = straint_yy
    index_i = 1
    index_j = 1
  [../]
  [./straint_yz]
    type = RankTwoAux
    rank_two_tensor = total_strain
    variable = straint_yz
    index_i = 1
    index_j = 2
  [../]
  [./straint_zx]
    type = RankTwoAux
    rank_two_tensor = total_strain
    variable = straint_zx
    index_i = 2
    index_j = 0
  [../]
  [./straint_zy]
    type = RankTwoAux
    rank_two_tensor = total_strain
    variable = straint_zy
    index_i = 2
    index_j = 1
  [../]
  [./straint_zz]
    type = RankTwoAux
    rank_two_tensor = total_strain
    variable = straint_zz
    index_i = 2
    index_j = 2
  [../]
  [./f_shear]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 0
    variable = f_shear
  [../]
  [./f_tensile]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 1
    variable = f_tensile
  [../]
  [./f_compressive]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 2
    variable = f_compressive
  [../]
  [./intnl_shear]
    type = MaterialStdVectorAux
    property = plastic_internal_parameter
    index = 0
    variable = intnl_shear
  [../]
  [./intnl_tensile]
    type = MaterialStdVectorAux
    property = plastic_internal_parameter
    index = 1
    variable = intnl_tensile
  [../]
  [./iter]
    type = MaterialRealAux
    property = plastic_NR_iterations
    variable = iter
  [../]
  [./ls]
    type = MaterialRealAux
    property = plastic_linesearch_needed
    variable = ls
  [../]
[]

[Postprocessors]
  [./s_xx]
    type = PointValue
    point = '0 0 0'
    variable = stress_xx
  [../]
  [./s_xy]
    type = PointValue
    point = '0 0 0'
    variable = stress_xy
  [../]
  [./s_xz]
    type = PointValue
    point = '0 0 0'
    variable = stress_xz
  [../]
  [./s_yx]
    type = PointValue
    point = '0 0 0'
    variable = stress_yx
  [../]
  [./s_yy]
    type = PointValue
    point = '0 0 0'
    variable = stress_yy
  [../]
  [./s_yz]
    type = PointValue
    point = '0 0 0'
    variable = stress_yz
  [../]
  [./s_zx]
    type = PointValue
    point = '0 0 0'
    variable = stress_zx
  [../]
  [./s_zy]
    type = PointValue
    point = '0 0 0'
    variable = stress_zy
  [../]
  [./s_zz]
    type = PointValue
    point = '0 0 0'
    variable = stress_zz
  [../]
  [./c_s_xx]
    type = PointValue
    point = '0 0 0'
    variable = couple_stress_xx
  [../]
  [./c_s_xy]
    type = PointValue
    point = '0 0 0'
    variable = couple_stress_xy
  [../]
  [./c_s_xz]
    type = PointValue
    point = '0 0 0'
    variable = couple_stress_xz
  [../]
  [./c_s_yx]
    type = PointValue
    point = '0 0 0'
    variable = couple_stress_yx
  [../]
  [./c_s_yy]
    type = PointValue
    point = '0 0 0'
    variable = couple_stress_yy
  [../]
  [./c_s_yz]
    type = PointValue
    point = '0 0 0'
    variable = couple_stress_yz
  [../]
  [./c_s_zx]
    type = PointValue
    point = '0 0 0'
    variable = couple_stress_zx
  [../]
  [./c_s_zy]
    type = PointValue
    point = '0 0 0'
    variable = couple_stress_zy
  [../]
  [./c_s_zz]
    type = PointValue
    point = '0 0 0'
    variable = couple_stress_zz
  [../]
  [./strainp_xx]
    type = PointValue
    point = '0 0 0'
    variable = strainp_xx
  [../]
  [./strainp_xy]
    type = PointValue
    point = '0 0 0'
    variable = strainp_xy
  [../]
  [./strainp_xz]
    type = PointValue
    point = '0 0 0'
    variable = strainp_xz
  [../]
  [./strainp_yx]
    type = PointValue
    point = '0 0 0'
    variable = strainp_yx
  [../]
  [./strainp_yy]
    type = PointValue
    point = '0 0 0'
    variable = strainp_yy
  [../]
  [./strainp_yz]
    type = PointValue
    point = '0 0 0'
    variable = strainp_yz
  [../]
  [./strainp_zx]
    type = PointValue
    point = '0 0 0'
    variable = strainp_zx
  [../]
  [./strainp_zy]
    type = PointValue
    point = '0 0 0'
    variable = strainp_zy
  [../]
  [./strainp_zz]
    type = PointValue
    point = '0 0 0'
    variable = strainp_zz
  [../]
  [./straint_xx]
    type = PointValue
    point = '0 0 0'
    variable = straint_xx
  [../]
  [./straint_xy]
    type = PointValue
    point = '0 0 0'
    variable = straint_xy
  [../]
  [./straint_xz]
    type = PointValue
    point = '0 0 0'
    variable = straint_xz
  [../]
  [./straint_yx]
    type = PointValue
    point = '0 0 0'
    variable = straint_yx
  [../]
  [./straint_yy]
    type = PointValue
    point = '0 0 0'
    variable = straint_yy
  [../]
  [./straint_yz]
    type = PointValue
    point = '0 0 0'
    variable = straint_yz
  [../]
  [./straint_zx]
    type = PointValue
    point = '0 0 0'
    variable = straint_zx
  [../]
  [./straint_zy]
    type = PointValue
    point = '0 0 0'
    variable = straint_zy
  [../]
  [./straint_zz]
    type = PointValue
    point = '0 0 0'
    variable = straint_zz
  [../]
  [./f_shear]
    type = PointValue
    point = '0 0 0'
    variable = f_shear
  [../]
  [./f_tensile]
    type = PointValue
    point = '0 0 0'
    variable = f_tensile
  [../]
  [./f_compressive]
    type = PointValue
    point = '0 0 0'
    variable = f_compressive
  [../]
  [./intnl_shear]
    type = PointValue
    point = '0 0 0'
    variable = intnl_shear
  [../]
  [./intnl_tensile]
    type = PointValue
    point = '0 0 0'
    variable = intnl_tensile
  [../]
  [./iter]
    type = PointValue
    point = '0 0 0'
    variable = iter
  [../]
  [./ls]
    type = PointValue
    point = '0 0 0'
    variable = ls
  [../]
[]


[UserObjects]
  [./coh]
    type = SolidMechanicsHardeningConstant
    value = 30
  [../]
  [./tanphi]
    type = SolidMechanicsHardeningConstant
    value = 0.5
  [../]
  [./tanpsi]
    type = SolidMechanicsHardeningConstant
    value = 0.1111077
  [../]
  [./t_strength]
    type = SolidMechanicsHardeningConstant
    value = 40
  [../]
  [./c_strength]
    type = SolidMechanicsHardeningConstant
    value = 0.024449878
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeLayeredCosseratElasticityTensor
    young = 1.0
    poisson = 0.2
    layer_thickness = 0.1
    joint_normal_stiffness = 0.25
    joint_shear_stiffness = 0.2
  [../]
  [./strain]
    type = ComputeCosseratIncrementalSmallStrain
  [../]
  [./admissible]
    type = ComputeMultipleInelasticCosseratStress
    inelastic_models = stress
    perform_finite_strain_rotations = false
  [../]
  [./stress]
    type = CappedWeakPlaneCosseratStressUpdate
    cohesion = coh
    tan_friction_angle = tanphi
    tan_dilation_angle = tanpsi
    tensile_strength = t_strength
    compressive_strength = c_strength
    tip_smoother = 0
    smoothing_tol = 1
    yield_function_tol = 1E-5
  [../]
[]

[Executioner]
  nl_abs_tol = 1E-14
  end_time = 3
  dt = 1
  type = Transient
[]

[Outputs]
  file_base = small_deform_cosserat2
  csv = true
[]

(modules/navier_stokes/test/tests/finite_element/ins/mms/pspg/pspg_mms_test.i)

mu=1.5
rho=2.5

[GlobalParams]
  gravity = '0 0 0'
  pspg = true
  convective_term = true
  integrate_p_by_parts = true
  laplace = true
  u = vel_x
  v = vel_y
  pressure = p
  alpha = 1e-6
  order = FIRST
  family = LAGRANGE
[]

[Mesh]
  [gen]
    type = GeneratedMeshGenerator
    dim = 2
    xmin = 0
    xmax = 1.0
    ymin = 0
    ymax = 1.0
    elem_type = QUAD9
    nx = 4
    ny = 4
  []
  [./corner_node]
    type = ExtraNodesetGenerator
    new_boundary = 'pinned_node'
    nodes = '0'
    input = gen
  [../]
[]

[Variables]
  [./vel_x]
  [../]

  [./vel_y]
  [../]

  [./p]
  [../]
[]

[Kernels]
  # mass
  [./mass]
    type = INSMass
    variable = p
    x_vel_forcing_func = vel_x_source_func
    y_vel_forcing_func = vel_y_source_func
  [../]

  # x-momentum, space
  [./x_momentum_space]
    type = INSMomentumLaplaceForm
    variable = vel_x
    component = 0
    forcing_func = vel_x_source_func
  [../]

  # y-momentum, space
  [./y_momentum_space]
    type = INSMomentumLaplaceForm
    variable = vel_y
    component = 1
    forcing_func = vel_y_source_func
  [../]

  [./p_source]
    type = BodyForce
    function = p_source_func
    variable = p
  [../]
[]

[BCs]
  [./vel_x]
    type = FunctionDirichletBC
    boundary = 'left right top bottom'
    function = vel_x_func
    variable = vel_x
  [../]
  [./vel_y]
    type = FunctionDirichletBC
    boundary = 'left right top bottom'
    function = vel_y_func
    variable = vel_y
  [../]
  [./p]
    type = FunctionDirichletBC
    boundary = 'left right top bottom'
    function = p_func
    variable = p
  [../]
[]

[Functions]
  [./vel_x_source_func]
    type = ParsedFunction
    expression = '-${mu}*(-0.028*pi^2*x^2*sin(0.2*pi*x*y) - 0.028*pi^2*y^2*sin(0.2*pi*x*y) - 0.1*pi^2*sin(0.5*pi*x) - 0.4*pi^2*sin(pi*y)) + ${rho}*(0.14*pi*x*cos(0.2*pi*x*y) + 0.4*pi*cos(pi*y))*(0.6*sin(0.8*pi*x) + 0.3*sin(0.3*pi*y) + 0.2*sin(0.3*pi*x*y) + 0.3) + ${rho}*(0.14*pi*y*cos(0.2*pi*x*y) + 0.2*pi*cos(0.5*pi*x))*(0.4*sin(0.5*pi*x) + 0.4*sin(pi*y) + 0.7*sin(0.2*pi*x*y) + 0.5) + 0.1*pi*y*cos(0.2*pi*x*y) + 0.25*pi*cos(0.5*pi*x)'
  [../]
  [./vel_y_source_func]
    type = ParsedFunction
    expression = '-${mu}*(-0.018*pi^2*x^2*sin(0.3*pi*x*y) - 0.018*pi^2*y^2*sin(0.3*pi*x*y) - 0.384*pi^2*sin(0.8*pi*x) - 0.027*pi^2*sin(0.3*pi*y)) + ${rho}*(0.06*pi*x*cos(0.3*pi*x*y) + 0.09*pi*cos(0.3*pi*y))*(0.6*sin(0.8*pi*x) + 0.3*sin(0.3*pi*y) + 0.2*sin(0.3*pi*x*y) + 0.3) + ${rho}*(0.06*pi*y*cos(0.3*pi*x*y) + 0.48*pi*cos(0.8*pi*x))*(0.4*sin(0.5*pi*x) + 0.4*sin(pi*y) + 0.7*sin(0.2*pi*x*y) + 0.5) + 0.1*pi*x*cos(0.2*pi*x*y) + 0.3*pi*cos(0.3*pi*y)'
  [../]
  [./p_source_func]
    type = ParsedFunction
    expression = '-0.06*pi*x*cos(0.3*pi*x*y) - 0.14*pi*y*cos(0.2*pi*x*y) - 0.2*pi*cos(0.5*pi*x) - 0.09*pi*cos(0.3*pi*y)'
  [../]
  [./vel_x_func]
    type = ParsedFunction
    expression = '0.4*sin(0.5*pi*x) + 0.4*sin(pi*y) + 0.7*sin(0.2*pi*x*y) + 0.5'
  [../]
  [./vel_y_func]
    type = ParsedFunction
    expression = '0.6*sin(0.8*pi*x) + 0.3*sin(0.3*pi*y) + 0.2*sin(0.3*pi*x*y) + 0.3'
  [../]
  [./p_func]
    type = ParsedFunction
    expression = '0.5*sin(0.5*pi*x) + 1.0*sin(0.3*pi*y) + 0.5*sin(0.2*pi*x*y) + 0.5'
  [../]
  [./vxx_func]
    type = ParsedFunction
    expression = '0.14*pi*y*cos(0.2*pi*x*y) + 0.2*pi*cos(0.5*pi*x)'
  [../]
  [./px_func]
    type = ParsedFunction
    expression = '0.1*pi*y*cos(0.2*pi*x*y) + 0.25*pi*cos(0.5*pi*x)'
  [../]
[]

[Materials]
  [./const]
    type = GenericConstantMaterial
    block = 0
    prop_names = 'rho mu'
    prop_values = '${rho}  ${mu}'
  [../]
[]

[Preconditioning]
  [./SMP]
    type = SMP
    full = true
    solve_type = 'NEWTON'
  [../]
[]

[Executioner]
  type = Steady
  petsc_options = '-snes_converged_reason -ksp_converged_reason'
  petsc_options_iname = '-pc_type -pc_factor_shift_type'
  petsc_options_value = 'lu NONZERO'
  line_search = 'none'
  nl_rel_tol = 1e-12
  nl_abs_tol = 1e-13
  nl_max_its = 6
  l_tol = 1e-6
  l_max_its = 500
[]

[Outputs]
  [./exodus]
    type = Exodus
  [../]
  [./csv]
    type = CSV
  [../]
[]

[Postprocessors]
  [./L2vel_x]
    type = ElementL2Error
    variable = vel_x
    function = vel_x_func
    outputs = 'console'    execute_on = 'timestep_end'
  [../]
  [./L2vel_y]
    variable = vel_y
    function = vel_y_func
    type = ElementL2Error
    outputs = 'console'    execute_on = 'timestep_end'
  [../]
  [./L2p]
    variable = p
    function = p_func
    type = ElementL2Error
    outputs = 'console'    execute_on = 'timestep_end'
  [../]
  [./L2vxx]
    variable = vxx
    function = vxx_func
    type = ElementL2Error
    outputs = 'console'    execute_on = 'timestep_end'
  [../]
  [./L2px]
    variable = px
    function = px_func
    type = ElementL2Error
    outputs = 'console'    execute_on = 'timestep_end'
  [../]
[]

[AuxVariables]
  [./vxx]
    family = MONOMIAL
    order = FIRST
  [../]
  [./px]
    family = MONOMIAL
    order = FIRST
  [../]
[]

[AuxKernels]
  [./vxx]
    type = VariableGradientComponent
    component = x
    variable = vxx
    gradient_variable = vel_x
  [../]
  [./px]
    type = VariableGradientComponent
    component = x
    variable = px
    gradient_variable = p
  [../]
[]

(modules/contact/test/tests/verification/hertz_cyl/half_symm_q4/hertz_cyl_half_1deg_template3.i)

[GlobalParams]
  order = FIRST
  family = LAGRANGE
  volumetric_locking_correction = true
  displacements = 'disp_x disp_y'
[]

[Mesh]
  file = hertz_cyl_half_1deg.e
[]

[Problem]
  type = ReferenceResidualProblem
  extra_tag_vectors = 'ref'
  reference_vector = 'ref'
[]

[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
[]

[AuxVariables]
  [./stress_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./saved_x]
  [../]
  [./saved_y]
  [../]
  [./diag_saved_x]
  [../]
  [./diag_saved_y]
  [../]
  [./inc_slip_x]
  [../]
  [./inc_slip_y]
  [../]
  [./accum_slip_x]
  [../]
  [./accum_slip_y]
  [../]
  [./tang_force_x]
  [../]
  [./tang_force_y]
  [../]
[]

[Functions]
  [./disp_ramp_vert]
    type = PiecewiseLinear
    x = '0. 1. 11.'
    y = '0. -0.0020 -0.0020'
  [../]
  [./disp_ramp_horz]
    type = PiecewiseLinear
    x = '0. 1. 11.'
    y = '0. 0.0 0.0014'
  [../]
[]

[Kernels]
  [./TensorMechanics]
    use_displaced_mesh = true
    extra_vector_tags = 'ref'
    save_in = 'saved_x saved_y'
  [../]
[]

[AuxKernels]
  [./stress_xx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xx
    index_i = 0
    index_j = 0
    execute_on = timestep_end
  [../]
  [./stress_yy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yy
    index_i = 1
    index_j = 1
    execute_on = timestep_end
  [../]
  [./stress_xy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xy
    index_i = 0
    index_j = 1
    execute_on = timestep_end
  [../]
  [./inc_slip_x]
    type = PenetrationAux
    variable = inc_slip_x
    execute_on = timestep_end
    boundary = 3
    paired_boundary = 2
  [../]
  [./inc_slip_y]
    type = PenetrationAux
    variable = inc_slip_y
    execute_on = timestep_end
    boundary = 3
    paired_boundary = 2
  [../]
  [./accum_slip_x]
    type = PenetrationAux
    variable = accum_slip_x
    execute_on = timestep_end
    boundary = 3
    paired_boundary = 2
  [../]
  [./accum_slip_y]
    type = PenetrationAux
    variable = accum_slip_y
    execute_on = timestep_end
    boundary = 3
    paired_boundary = 2
  [../]
  [./tang_force_x]
    type = PenetrationAux
    variable = tang_force_x
    quantity = tangential_force_x
    boundary = 3
    paired_boundary = 2
  [../]
  [./tang_force_y]
    type = PenetrationAux
    variable = tang_force_y
    quantity = tangential_force_y
    boundary = 3
    paired_boundary = 2
  [../]
  [./penetration]
    type = PenetrationAux
    variable = penetration
    boundary = 3
    paired_boundary = 2
  [../]
[]

[Postprocessors]
  [./bot_react_x]
    type = NodalSum
    variable = saved_x
    boundary = 1
  [../]
  [./bot_react_y]
    type = NodalSum
    variable = saved_y
    boundary = 1
  [../]
  [./top_react_x]
    type = NodalSum
    variable = saved_x
    boundary = 4
  [../]
  [./top_react_y]
    type = NodalSum
    variable = saved_y
    boundary = 4
  [../]
  [./disp_x226]
    type = NodalVariableValue
    nodeid = 225
    variable = disp_x
  [../]
  [./disp_y226]
    type = NodalVariableValue
    nodeid = 225
    variable = disp_y
  [../]
  [./_dt]
    type = TimestepSize
  [../]
  [./num_lin_it]
    type = NumLinearIterations
  [../]
  [./num_nonlin_it]
    type = NumNonlinearIterations
  [../]
[]

[BCs]
  [./side_x]
    type = DirichletBC
    variable = disp_y
    boundary = '1 2'
    value = 0.0
  [../]
  [./bot_y]
    type = DirichletBC
    variable = disp_x
    boundary = '1 2'
    value = 0.0
  [../]
  [./top_y_disp]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 4
    function = disp_ramp_vert
  [../]
  [./top_x_disp]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 4
    function = disp_ramp_horz
  [../]
[]

[Materials]
  [./stuff1_elas_tens]
    type = ComputeIsotropicElasticityTensor
    block = '1'
    youngs_modulus = 1e10
    poissons_ratio = 0.0
  [../]
  [./stuff1_strain]
    type = ComputeFiniteStrain
    block = '1'
  [../]
  [./stuff1_stress]
    type = ComputeFiniteStrainElasticStress
    block = '1'
  [../]
  [./stuff2_elas_tens]
    type = ComputeIsotropicElasticityTensor
    block = '2'
    youngs_modulus = 1e6
    poissons_ratio = 0.3
  [../]
  [./stuff2_strain]
    type = ComputeFiniteStrain
    block = '2'
  [../]
  [./stuff2_stress]
    type = ComputeFiniteStrainElasticStress
    block = '2'
  [../]
  [./stuff3_elas_tens]
    type = ComputeIsotropicElasticityTensor
    block = '3'
    youngs_modulus = 1e6
    poissons_ratio = 0.3
  [../]
  [./stuff3_strain]
    type = ComputeFiniteStrain
    block = '3'
  [../]
  [./stuff3_stress]
    type = ComputeFiniteStrainElasticStress
    block = '3'
  [../]
  [./stuff4_elas_tens]
    type = ComputeIsotropicElasticityTensor
    block = '4'
    youngs_modulus = 1e6
    poissons_ratio = 0.3
  [../]
  [./stuff4_strain]
    type = ComputeFiniteStrain
    block = '4'
  [../]
  [./stuff4_stress]
    type = ComputeFiniteStrainElasticStress
    block = '4'
  [../]
  [./stuff5_elas_tens]
    type = ComputeIsotropicElasticityTensor
    block = '5'
    youngs_modulus = 1e6
    poissons_ratio = 0.3
  [../]
  [./stuff5_strain]
    type = ComputeFiniteStrain
    block = '5'
  [../]
  [./stuff5_stress]
    type = ComputeFiniteStrainElasticStress
    block = '5'
  [../]
  [./stuff6_elas_tens]
    type = ComputeIsotropicElasticityTensor
    block = '6'
    youngs_modulus = 1e6
    poissons_ratio = 0.3
  [../]
  [./stuff6_strain]
    type = ComputeFiniteStrain
    block = '6'
  [../]
  [./stuff6_stress]
    type = ComputeFiniteStrainElasticStress
    block = '6'
  [../]
  [./stuff7_elas_tens]
    type = ComputeIsotropicElasticityTensor
    block = '7'
    youngs_modulus = 1e6
    poissons_ratio = 0.3
  [../]
  [./stuff7_strain]
    type = ComputeFiniteStrain
    block = '7'
  [../]
  [./stuff7_stress]
    type = ComputeFiniteStrainElasticStress
    block = '7'
  [../]
[]

[Executioner]
  type = Transient

  #Preconditioned JFNK (default)
  solve_type = 'PJFNK'

  petsc_options_iname = '-pc_type -pc_factor_mat_solver_type'
  petsc_options_value = 'lu     superlu_dist'

  line_search = 'none'

  nl_abs_tol = 1e-7
  nl_rel_tol = 1e-6
  l_max_its = 100
  nl_max_its = 200

  start_time = 0.0
  end_time = 2.0
  l_tol = 5e-4
  dt = 0.1
  dtmin = 0.1
[]

[Preconditioning]
  [./SMP]
    type = SMP
    full = true
  [../]
[]

[VectorPostprocessors]
  [./x_disp]
    type = NodalValueSampler
    variable = disp_x
    boundary = '3 4'
    sort_by = id
  [../]
  [./y_disp]
    type = NodalValueSampler
    variable = disp_y
    boundary = '3 4'
    sort_by = id
  [../]
  [./cont_press]
    type = NodalValueSampler
    variable = contact_pressure
    boundary = '3'
    sort_by = id
  [../]
[]

[Outputs]
  print_linear_residuals = true
  perf_graph = true
  [./exodus]
    type = Exodus
    elemental_as_nodal = true
  [../]
  [./console]
    type = Console
    max_rows = 5
  [../]
  [./chkfile]
    type = CSV
    show = 'x_disp y_disp cont_press'
    start_time = 0.9
    execute_vector_postprocessors_on = timestep_end
  [../]
  [./chkfile2]
    type = CSV
    show = 'bot_react_x bot_react_y disp_x226 disp_y226 top_react_x top_react_y'
    start_time = 0.9
    execute_vector_postprocessors_on = timestep_end
  [../]
  [./outfile]
    type = CSV
    delimiter = ' '
    execute_vector_postprocessors_on = none
  [../]
[]

[Contact]
  [./interface]
    primary = 2
    secondary = 3
    model = coulomb
    friction_coefficient = 0.0
    formulation = penalty
    normalize_penalty = true
    tangential_tolerance = 1e-3
    penalty = 1e+9
  [../]
[]

[Dampers]
  [./contact_slip]
    type = ContactSlipDamper
    primary = '2'
    secondary = '3'
  [../]
[]

(test/tests/misc/check_error/old_integrity_check.i)

[Mesh]
  type = GeneratedMesh
  dim = 2
  xmin = -1
  xmax = 1
  ymin = 0
  ymax = 1
  nx = 20
  ny = 10
  elem_type = QUAD9
[]

[Functions]
  [./bc_fn_v]
    type = ParsedFunction
    expression = (x*x+y*y)
  [../]
[]

[Variables]
  [./v]
    family = LAGRANGE
    order = SECOND
  [../]

  [./u]
    family = LAGRANGE
    order = SECOND
  [../]
[]

[Kernels]
  [./diff_v]
    type = CoefDiffusion
    variable = u
    coef = 0.5
  [../]
  [./conv_v]
    type = CoupledConvection
    variable = v
    velocity_vector = u
    lag_coupling = true    # Here we are asking for an old value but this is a steady test!
  [../]
[]

[BCs]
  [./top_v]
    type = FunctionDirichletBC
    variable = v
    boundary = top
    function = bc_fn_v
  [../]

  [./left_u]
    type = DirichletBC
    variable = u
    boundary = left
    value = 0
  [../]
  [./right_u]
    type = DirichletBC
    variable = u
    boundary = right
    value = 1
  [../]
[]

[Executioner]
  type = Steady
[]

[Outputs]
  execute_on = 'timestep_end'
[]

(modules/solid_mechanics/test/tests/elem_prop_read_user_object/prop_elem_read.i)

[Mesh]
  type = GeneratedMesh
  dim = 2
  elem_type = QUAD4
  displacements = 'disp_x disp_y'
  nx = 2
  ny = 2
[]

[Variables]
  [./disp_x]
    block = 0
  [../]
  [./disp_y]
    block = 0
  [../]
[]

[GlobalParams]
  volumetric_locking_correction=true
[]

[AuxVariables]
  [./stress_yy]
    order = CONSTANT
    family = MONOMIAL
    block = 0
  [../]
  [./e_yy]
    order = CONSTANT
    family = MONOMIAL
    block = 0
  [../]
[]

[Functions]
  [./tdisp]
    type = ParsedFunction
    expression = 0.05*t
  [../]
[]

[UserObjects]
  [./prop_read]
    type = PropertyReadFile
    prop_file_name = 'input_file.txt'
    # Enter file data as prop#1, prop#2, .., prop#nprop
    nprop = 4
    read_type = element
  [../]
[]

[AuxKernels]
  [./stress_yy]
    type = RankTwoAux
    variable = stress_yy
    rank_two_tensor = stress
    index_j = 1
    index_i = 1
    execute_on = timestep_end
    block = 0
  [../]
  [./e_yy]
    type = RankTwoAux
    variable = e_yy
    rank_two_tensor = elastic_strain
    index_j = 1
    index_i = 1
    execute_on = timestep_end
    block = 0
  [../]
[]

[BCs]
  [./fix_x]
    type = DirichletBC
    variable = disp_x
    boundary = 'left'
    value = 0
  [../]
  [./fix_y]
    type = DirichletBC
    variable = disp_y
    boundary = 'bottom'
    value = 0
  [../]
  [./tdisp]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = top
    function = tdisp
  [../]
[]

[Materials]
  [./elasticity_tensor_with_Euler]
    type = ComputeElasticityTensorCP
    block = 0
    C_ijkl = '1.684e5 0.176e5 0.176e5 1.684e5 0.176e5 1.684e5 0.754e5 0.754e5 0.754e5'
    fill_method = symmetric9
    read_prop_user_object = prop_read
  [../]
  [./strain]
    type = ComputeFiniteStrain
    block = 0
    displacements = 'disp_x disp_y'
  [../]
  [./stress]
    type = ComputeFiniteStrainElasticStress
    block = 0
  [../]
[]

[Postprocessors]
  [./stress_yy]
    type = ElementAverageValue
    variable = stress_yy
    block = 'ANY_BLOCK_ID 0'
  [../]
  [./e_yy]
    type = ElementAverageValue
    variable = e_yy
    block = 'ANY_BLOCK_ID 0'
  [../]
[]

[Preconditioning]
  [./smp]
    type = SMP
    full = true
  [../]
[]

[Executioner]
  type = Transient
  dt = 0.05

  #Preconditioned JFNK (default)
  solve_type = 'PJFNK'

  petsc_options_iname = -pc_hypre_type
  petsc_options_value = boomerang
  nl_abs_tol = 1e-10
  nl_rel_step_tol = 1e-10
  dtmax = 10.0
  nl_rel_tol = 1e-10
  end_time = 1
  dtmin = 0.05
  num_steps = 1
  nl_abs_step_tol = 1e-10

[]

[Outputs]
  file_base = prop_elem_read_out
  exodus = true
[]

[Kernels]
  [SolidMechanics]
    displacements = 'disp_x disp_y'
    use_displaced_mesh = true
  [../]
[]

(modules/contact/test/tests/mortar_aux_kernels/block-dynamics-aux-wear.i)

starting_point = 0.5e-1
offset = -0.05

[GlobalParams]
  displacements = 'disp_x disp_y'
[]

[Mesh]
  file = long-bottom-block-1elem-blocks.e
[]

[Variables]
  [disp_x]
    block = '1 2'
  []
  [disp_y]
    block = '1 2'
  []
  [normal_lm]
    block = 3
    use_dual = true
  []
[]

[ICs]
  [disp_y]
    block = 2
    variable = disp_y
    value = '${fparse starting_point + offset}'
    type = ConstantIC
  []
[]

[Kernels]
  [DynamicTensorMechanics]
    displacements = 'disp_x disp_y'
    generate_output = 'stress_xx stress_yy'
    strain = FINITE
    block = '1 2'
    stiffness_damping_coefficient = 1.0
    hht_alpha = 0.0
  []
  [inertia_x]
    type = InertialForce
    variable = disp_x
    velocity = vel_x
    acceleration = accel_x
    beta = 0.25
    gamma = 0.5
    alpha = 0
    eta = 0.0
    block = '1 2'
  []
  [inertia_y]
    type = InertialForce
    variable = disp_y
    velocity = vel_y
    acceleration = accel_y
    beta = 0.25
    gamma = 0.5
    alpha = 0
    eta = 0.0
    block = '1 2'
  []
[]

[Materials]
  [elasticity_2]
    type = ComputeIsotropicElasticityTensor
    block = '2'
    youngs_modulus = 1e6
    poissons_ratio = 0.3
  []
  [elasticity_1]
    type = ComputeIsotropicElasticityTensor
    block = '1'
    youngs_modulus = 1e8
    poissons_ratio = 0.3
  []
  [stress]
    type = ComputeFiniteStrainElasticStress
    block = '1 2'
  []
  [strain]
    type = ComputeFiniteStrain
    block = '1 2'
  []
  [density]
    type = GenericConstantMaterial
    block = '1 2'
    prop_names = 'density'
    prop_values = '7750'
  []
[]

[AuxVariables]
  [worn_depth]
    block = '3'
  []
  [vel_x]
    block = '1 2'
  []
  [accel_x]
    block = '1 2'
  []
  [vel_y]
    block = '1 2'
  []
  [accel_y]
    block = '1 2'
  []
  [vel_z]
    block = '1 2'
  []
  [accel_z]
    block = '1 2'
  []
[]

[AuxKernels]
  [worn_depth]
    type = MortarArchardsLawAux
    variable = worn_depth
    primary_boundary = 20
    secondary_boundary = 10
    primary_subdomain = 4
    secondary_subdomain = 3
    displacements = 'disp_x disp_y'
    friction_coefficient = 0.5
    energy_wear_coefficient = 1.0
    normal_pressure = normal_lm
  []
  [accel_x]
    type = NewmarkAccelAux
    variable = accel_x
    displacement = disp_x
    velocity = vel_x
    beta = 0.25
    execute_on = 'linear timestep_end'
  []
  [vel_x]
    type = NewmarkVelAux
    variable = vel_x
    acceleration = accel_x
    gamma = 0.5
    execute_on = 'linear timestep_end'
  []
  [accel_y]
    type = NewmarkAccelAux
    variable = accel_y
    displacement = disp_y
    velocity = vel_y
    beta = 0.25
    execute_on = 'linear timestep_end'
  []
  [vel_y]
    type = NewmarkVelAux
    variable = vel_y
    acceleration = accel_y
    gamma = 0.5
    execute_on = 'linear timestep_end'
  []
[]

[UserObjects]
  [weighted_gap_uo]
    type = LMWeightedGapUserObject
    primary_boundary = 20
    secondary_boundary = 10
    primary_subdomain = 4
    secondary_subdomain = 3
    lm_variable = normal_lm
    disp_x = disp_x
    disp_y = disp_y
  []
[]

[Constraints]
  [weighted_gap_lm]
    type = ComputeDynamicWeightedGapLMMechanicalContact
    primary_boundary = 20
    secondary_boundary = 10
    primary_subdomain = 4
    secondary_subdomain = 3
    variable = normal_lm
    disp_x = disp_x
    disp_y = disp_y
    use_displaced_mesh = true
    c = 1e4
    capture_tolerance = 1.0e-5
    newmark_beta = 0.25
    newmark_gamma = 0.5
  []
  [normal_x]
    type = NormalMortarMechanicalContact
    primary_boundary = 20
    secondary_boundary = 10
    primary_subdomain = 4
    secondary_subdomain = 3
    variable = normal_lm
    secondary_variable = disp_x
    component = x
    use_displaced_mesh = true
    compute_lm_residuals = false
    weighted_gap_uo = weighted_gap_uo
  []
  [normal_y]
    type = NormalMortarMechanicalContact
    primary_boundary = 20
    secondary_boundary = 10
    primary_subdomain = 4
    secondary_subdomain = 3
    variable = normal_lm
    secondary_variable = disp_y
    component = y
    use_displaced_mesh = true
    compute_lm_residuals = false
    weighted_gap_uo = weighted_gap_uo
  []
[]

[BCs]
  [botx]
    type = DirichletBC
    variable = disp_x
    boundary = 40
    value = 0.0
  []
  [boty]
    type = DirichletBC
    variable = disp_y
    boundary = 40
    value = 0.0
  []
  [topy]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 30
    function = '${starting_point} * cos(8.0 * pi / 4 * t) + ${offset}'
  []
  [leftx]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 50
    function = '1e-2 * t'
  []
[]

[Executioner]
  type = Transient
  end_time = 0.675
  dt = 0.075
  dtmin = .075
  solve_type = 'NEWTON'
  petsc_options = '-snes_converged_reason -ksp_converged_reason -pc_svd_monitor '
                  '-snes_linesearch_monitor -snes_ksp_ew'
  petsc_options_iname = '-pc_type -pc_factor_mat_solver_type -pc_factor_shift_type -pc_factor_shift_amount '
  petsc_options_value = 'lu       superlu_dist                  NONZERO               1e-15'
  nl_max_its = 30
  line_search = 'l2'
  snesmf_reuse_base = false

  [TimeIntegrator]
    type = NewmarkBeta
    beta = 0.25
    gamma = 0.5
  []
[]

[Debug]
  show_var_residual_norms = true
[]

[Outputs]
  exodus = true
  checkpoint = true
[]

[Preconditioning]
  [smp]
    type = SMP
    full = true
  []
[]

[Postprocessors]
  active = 'num_nl cumulative contact'
  [num_nl]
    type = NumNonlinearIterations
  []
  [cumulative]
    type = CumulativeValuePostprocessor
    postprocessor = num_nl
  []
  [contact]
    type = ContactDOFSetSize
    variable = normal_lm
    subdomain = '3'
    execute_on = 'nonlinear timestep_end'
  []
[]

(modules/solid_mechanics/tutorials/basics/part_3_1.i)

#Tensor Mechanics tutorial: the basics
#Step 3, part 1
#3D simulation of uniaxial tension with J2 plasticity

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]

[Mesh]
  [file_mesh]
    type = FileMeshGenerator
    file = necking_quad4.e
  []
  [extrude]
    type = MeshExtruderGenerator
    extrusion_vector = '0 0 0.5'
    num_layers = 2
    bottom_sideset = 'back'
    top_sideset = 'front'
    input = file_mesh
  []
  uniform_refine = 0
  second_order = true
[]

[Physics/SolidMechanics/QuasiStatic]
  [./block1]
    strain = FINITE
    add_variables = true
    generate_output = 'stress_yy strain_yy'
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeIsotropicElasticityTensor
    youngs_modulus = 2.1e5
    poissons_ratio = 0.3
  [../]
  [./stress]
    type = ComputeMultiPlasticityStress
    ep_plastic_tolerance = 1e-9
    plastic_models = J2
  [../]
[]

[UserObjects]
  [./hardening]
    type = SolidMechanicsHardeningCubic
    value_0 = 2.4e2
    value_residual = 3.0e2
    internal_0 = 0
    internal_limit = 0.005
  [../]
  [./J2]
    type = SolidMechanicsPlasticJ2
    yield_strength = hardening
    yield_function_tolerance = 1E-3
    internal_constraint_tolerance = 1E-9
  [../]
[]

[BCs]
  [./left]
    type = DirichletBC
    variable = disp_x #change the variable to reflect the new displacement names
    boundary = 1
    value = 0.0
  [../]
  [./back]
    type = DirichletBC
    variable = disp_z #change the variable to reflect the new displacement names
    boundary = back
    value = 0.0
  [../]
  [./bottom]
    type = DirichletBC
    variable = disp_y #change the variable to reflect the new displacement names
    boundary = 3
    value = 0.0
  [../]
  [./top]
    type = FunctionDirichletBC
    variable = disp_y #change the variable to reflect the new displacement names
    boundary = 4
    function = '0.0007*t'
  [../]
[]

[Preconditioning]
  [./SMP]
    type = SMP
    full = true
  [../]
[]

[Executioner]
  type = Transient
  dt = 0.25
  end_time = 16

  solve_type = 'PJFNK'

  petsc_options = '-snes_ksp_ew'
  petsc_options_iname = '-pc_type -sub_pc_type -pc_asm_overlap -ksp_gmres_restart'
  petsc_options_value = 'asm lu 1 101'
[]

[Postprocessors]
  [./ave_stress_bottom]
    type = SideAverageValue
    variable = stress_yy
    boundary = 3
  [../]
  [./ave_strain_bottom]
    type = SideAverageValue
    variable = strain_yy
    boundary = 3
  [../]
[]

[Outputs]
  exodus = true
  perf_graph = true
  csv = true
  print_linear_residuals = false
[]

(modules/combined/test/tests/elastic_patch/elastic_patch_plane_strain.i)

#
# This problem is taken from the Abaqus verification manual:
#   "1.5.1 Membrane patch test"
# The stress solution is given as:
#   xx = yy = 1600
#   zz = 800
#   xy = 400
#   yz = zx = 0
#
# Since the strain is 1e-3 in both directions, the new density should be
#   new_density = original_density * V_0 / V
#   new_density = 0.283 / (1 + 1e-3 + 1e-3) = 0.282435

[GlobalParams]
  displacements = 'disp_x disp_y'
  temperature = temp
[]

[Mesh]
  file = elastic_patch_rz.e
[]

[Variables]
  [temp]
    initial_condition = 117.56
  []
[]

[Physics/SolidMechanics/QuasiStatic/All]
  strain = SMALL
  incremental = true
  planar_formulation = PLANE_STRAIN
  add_variables = true
  generate_output = 'stress_xx stress_yy stress_zz stress_xy stress_yz stress_zx'
[]

[Kernels]
  [heat]
    type = TimeDerivative
    variable = temp
  []
[]

[BCs]
  [ur]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 10
    function = '1e-3*(x+0.5*y)'
  []
  [uz]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 10
    function = '1e-3*(y+0.5*x)'
  []
[]

[Materials]
  [elasticity_tensor]
    type = ComputeIsotropicElasticityTensor
    youngs_modulus = 1e6
    poissons_ratio = 0.25
  []
  [stress]
    type = ComputeStrainIncrementBasedStress
  []

  [density]
    type = Density
    density = 0.283
    outputs = all
  []
[]

[Executioner]
  type = Transient
  solve_type = 'PJFNK'

  end_time = 1.0
[]

[Outputs]
  exodus = true
[]

(modules/contact/test/tests/pdass_problems/cylinder_friction_penalty_normal_al_backup.i)

[GlobalParams]
  volumetric_locking_correction = true
  displacements = 'disp_x disp_y'
[]

[Mesh]
  [input_file]
    type = FileMeshGenerator
    file = hertz_cyl_finer.e
  []
  [secondary]
    type = LowerDBlockFromSidesetGenerator
    new_block_id = 10001
    new_block_name = 'secondary_lower'
    sidesets = '3'
    input = input_file
  []
  [primary]
    type = LowerDBlockFromSidesetGenerator
    new_block_id = 10000
    sidesets = '2'
    new_block_name = 'primary_lower'
    input = secondary
  []
  allow_renumbering = false
[]

[Problem]
  type = AugmentedLagrangianContactFEProblem
  extra_tag_vectors = 'ref'
  maximum_lagrangian_update_iterations = 1000
[]

[AuxVariables]
  [penalty_normal_pressure]
  []
  [penalty_frictional_pressure]
  []
  [accumulated_slip_one]
  []
  [tangential_vel_one]
  []
  [normal_gap]
  []
  [normal_lm]
  []
  [saved_x]
  []
  [saved_y]
  []
  [active]
  []
[]

[Functions]
  [disp_ramp_vert]
    type = PiecewiseLinear
    x = '0. 0.1 0.2'
    y = '0. -0.020 0.0'
  []
  [disp_ramp_horz]
    type = PiecewiseLinear
    x = '0. 1. 3.5'
    y = '0. 0.0 0.015'
  []
[]

[Physics/SolidMechanics/QuasiStatic/all]
  strain = FINITE
  add_variables = true
  save_in = 'saved_x saved_y'
  extra_vector_tags = 'ref'
  block = '1 2 3 4 5 6 7'
  generate_output = 'stress_xx stress_yy stress_xy'
[]

[AuxKernels]
  [penalty_normal_pressure]
    type = PenaltyMortarUserObjectAux
    variable = penalty_normal_pressure
    user_object = friction_uo
    contact_quantity = normal_pressure
    boundary = 3
  []
  [normal_lm]
    type = PenaltyMortarUserObjectAux
    variable = normal_lm
    user_object = friction_uo
    contact_quantity = normal_lm
    boundary = 3
  []
  [normal_gap]
    type = PenaltyMortarUserObjectAux
    variable = normal_gap
    user_object = friction_uo
    contact_quantity = normal_gap
    boundary = 3
  []
[]

[Postprocessors]
  [bot_react_x]
    type = NodalSum
    variable = saved_x
    boundary = 1
  []
  [bot_react_y]
    type = NodalSum
    variable = saved_y
    boundary = 1
  []
  [top_react_x]
    type = NodalSum
    variable = saved_x
    boundary = 4
  []
  [top_react_y]
    type = NodalSum
    variable = saved_y
    boundary = 4
  []
  [_dt]
    type = TimestepSize
  []
  [num_lin_it]
    type = NumLinearIterations
  []
  [num_nonlin_it]
    type = NumNonlinearIterations
  []
  [cumulative]
    type = CumulativeValuePostprocessor
    postprocessor = num_nonlin_it
  []
  [gap]
    type = SideExtremeValue
    value_type = min
    variable = normal_gap
    boundary = 3
  []
  [num_al]
    type = NumAugmentedLagrangeIterations
  []
  [active_set_size]
    type = NodalSum
    variable = active
  []
[]

[BCs]
  [side_x]
    type = DirichletBC
    variable = disp_y
    boundary = '1 2'
    value = 0.0
  []
  [bot_y]
    type = DirichletBC
    variable = disp_x
    boundary = '1 2'
    value = 0.0
  []
  [top_y_disp]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 4
    function = disp_ramp_vert
  []
  [top_x_disp]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 4
    function = disp_ramp_horz
  []
[]

[Materials]
  [stuff1_elas_tens]
    type = ComputeIsotropicElasticityTensor
    block = '1'
    youngs_modulus = 1e8
    poissons_ratio = 0.0
  []
  [stuff1_stress]
    type = ComputeFiniteStrainElasticStress
    block = '1'
  []
  [stuff2_elas_tens]
    type = ComputeIsotropicElasticityTensor
    block = '2 3 4 5 6 7'
    youngs_modulus = 1e6
    poissons_ratio = 0.3
  []
  [stuff2_stress]
    type = ComputeFiniteStrainElasticStress
    block = '2 3 4 5 6 7'
  []
[]

[Executioner]
  type = Transient
  solve_type = 'NEWTON'

  petsc_options = '-snes_ksp_ew'
  petsc_options_iname = -pc_type
  petsc_options_value = lu
  line_search = 'none'

  nl_abs_tol = 1e-10
  nl_rel_tol = 1e-8
  nl_max_its = 1300
  l_tol = 1e-05
  l_abs_tol = 1e-13

  start_time = 0.0
  end_time = 0.2 # 3.5

  dt = 0.1
  dtmin = 0.001
  [Predictor]
    type = SimplePredictor
    scale = 1.0
  []

  automatic_scaling = true
[]

[Preconditioning]
  [SMP]
    type = SMP
    full = true
  []
[]

[VectorPostprocessors]
  [surface]
    type = NodalValueSampler
    use_displaced_mesh = false
    variable = 'disp_x disp_y penalty_normal_pressure  normal_gap'
    boundary = '3'
    sort_by = id
  []
[]

[Outputs]
  print_linear_residuals = true
  perf_graph = true
  exodus = true
  csv = false
  [vectorpp_output]
    type = CSV
    create_final_symlink = true
    execute_on = 'INITIAL TIMESTEP_END FINAL'
  []
[]

[UserObjects]
  [friction_uo]
    type = PenaltyWeightedGapUserObject
    primary_boundary = '2'
    secondary_boundary = '3'
    primary_subdomain = '10000'
    secondary_subdomain = '10001'
    disp_x = disp_x
    disp_y = disp_y
    penalty = 1e7
    penalty_multiplier = 10
    penetration_tolerance = 1e-12
    use_physical_gap = true
  []
[]

[Constraints]
  [x]
    type = NormalMortarMechanicalContact
    primary_boundary = '2'
    secondary_boundary = '3'
    primary_subdomain = '10000'
    secondary_subdomain = '10001'
    secondary_variable = disp_x
    component = x
    use_displaced_mesh = true
    compute_lm_residuals = false
    weighted_gap_uo = friction_uo
  []
  [y]
    type = NormalMortarMechanicalContact
    primary_boundary = '2'
    secondary_boundary = '3'
    primary_subdomain = '10000'
    secondary_subdomain = '10001'
    secondary_variable = disp_y
    component = y
    use_displaced_mesh = true
    compute_lm_residuals = false
    weighted_gap_uo = friction_uo
  []
[]

(modules/contact/test/tests/sliding_block/in_and_out/frictionless_lm.i)

[Mesh]
  patch_size = 80
  [file]
    type = FileMeshGenerator
    file = sliding_elastic_blocks_2d.e
  []
[]

[GlobalParams]
  displacements = 'disp_x disp_y'
  volumetric_locking_correction = false
[]

[Physics/SolidMechanics/QuasiStatic]
  [all]
    add_variables = true
    strain = FINITE
    block = '1 2'
  []
[]

[BCs]
  [left_x]
    type = DirichletBC
    variable = disp_x
    boundary = 1
    value = 0.0
  []
  [left_y]
    type = DirichletBC
    variable = disp_y
    boundary = 1
    value = 0.0
  []
  [right_x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 4
    function = horizontal_movement
  []
  [right_y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 4
    function = vertical_movement
  []
[]

[Materials]
  [left]
    type = ComputeIsotropicElasticityTensor
    block = '1 2'
    youngs_modulus = 1e6
    poissons_ratio = 0.3
    constant_on = SUBDOMAIN
  []
  [stress]
    type = ComputeFiniteStrainElasticStress
    block = '1 2'
  []
[]

[Preconditioning]
  [smp]
    type = SMP
    full = true
  []
[]

[Executioner]
  type = Transient
  solve_type = 'PJFNK'
  petsc_options = '-snes_converged_reason -ksp_converged_reason -snes_ksp_ew'
  petsc_options_iname = '-pc_type -mat_mffd_err -pc_factor_shift_type -pc_factor_shift_amount'
  petsc_options_value = 'lu       1e-5          NONZERO               1e-15'
  end_time = 15
  dt = 0.1
  dtmin = 0.01
  l_max_its = 30
  nl_max_its = 20
  line_search = 'none'
  timestep_tolerance = 1e-6
  snesmf_reuse_base = false
[]

[Debug]
  show_var_residual_norms = true
[]

[Outputs]
  sync_times = '1 2 3 4 5 6 7 8 9 10 11 12 13 14 15'
  [out]
    type = Exodus
    sync_only = true
  []
  [dof]
    execute_on = 'initial'
    type = DOFMap
  []
  [csv]
    type = CSV
    execute_on = 'nonlinear timestep_end'
  []
[]

[Functions]
  [vertical_movement]
    type = ParsedFunction
    expression = -t
  []
  [horizontal_movement]
    type = ParsedFunction
    expression = -0.04*sin(4*t)+0.02
  []
[]

[Contact]
  [contact]
    secondary = 3
    primary = 2
    model = frictionless
    formulation = mortar
  []
[]

[Postprocessors]
  [num_nl]
    type = NumNonlinearIterations
  []
  [lin]
    type = NumLinearIterations
  []
  [contact]
    type = ContactDOFSetSize
    variable = contact_normal_lm
    subdomain = '30'
    execute_on = 'nonlinear timestep_end'
  []
[]

(modules/fsi/test/tests/2d-small-strain-transient/fsi_flat_channel.i)

[GlobalParams]
  gravity = '0 0 0'
  integrate_p_by_parts = true
  laplace = true
  convective_term = true
  transient_term = true
  pspg = true
  supg = true
  displacements = 'disp_x disp_y'
  preset = false
  order = FIRST
  use_displaced_mesh = true
[]

[Mesh]
  [gmg]
    type = GeneratedMeshGenerator
    dim = 2
    xmin = 0
    xmax = 3.0
    ymin = 0
    ymax = 1.0
    nx = 10
    ny = 15
    elem_type = QUAD4
  []

  [subdomain1]
    type = SubdomainBoundingBoxGenerator
    bottom_left = '0.0 0.5 0'
    block_id = 1
    top_right = '3.0 1.0 0'
    input = gmg
  []

  [interface]
    type = SideSetsBetweenSubdomainsGenerator
    primary_block = '0'
    paired_block = '1'
    new_boundary = 'master0_interface'
    input = subdomain1
  []

  [break_boundary]
    type = BreakBoundaryOnSubdomainGenerator
    input = interface
  []
[]

[Variables]
  [./vel_x]
    block = 0
  [../]
  [./vel_y]
    block = 0
  [../]
  [./p]
    block = 0
  [../]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./vel_x_solid]
    block = 1
  [../]
  [./vel_y_solid]
    block = 1
  [../]
[]

[Kernels]
  [./vel_x_time]
    type = INSMomentumTimeDerivative
    variable = vel_x
    block = 0
  [../]
  [./vel_y_time]
    type = INSMomentumTimeDerivative
    variable = vel_y
    block = 0
  [../]
  [./mass]
    type = INSMass
    variable = p
    u = vel_x
    v = vel_y
    pressure = p
    block = 0
    disp_x = disp_x
    disp_y = disp_y
  [../]
  [./x_momentum_space]
    type = INSMomentumLaplaceForm
    variable = vel_x
    u = vel_x
    v = vel_y
    pressure = p
    component = 0
    block = 0
    disp_x = disp_x
    disp_y = disp_y
  [../]
  [./y_momentum_space]
    type = INSMomentumLaplaceForm
    variable = vel_y
    u = vel_x
    v = vel_y
    pressure = p
    component = 1
    block = 0
    disp_x = disp_x
    disp_y = disp_y
  [../]
  [./vel_x_mesh]
    type = ConvectedMesh
    disp_x = disp_x
    disp_y = disp_y
    variable = vel_x
    u = vel_x
    v = vel_y
    pressure = p
    block = 0
  [../]
  [./vel_y_mesh]
    type = ConvectedMesh
    disp_x = disp_x
    disp_y = disp_y
    variable = vel_y
    u = vel_x
    v = vel_y
    pressure = p
    block = 0
  [../]
  [./p_mesh]
    type = ConvectedMeshPSPG
    disp_x = disp_x
    disp_y = disp_y
    variable = p
    u = vel_x
    v = vel_y
    pressure = p
    block = 0
  [../]
  [./disp_x_fluid]
    type = Diffusion
    variable = disp_x
    block = 0
    use_displaced_mesh = false
  [../]
  [./disp_y_fluid]
    type = Diffusion
    variable = disp_y
    block = 0
    use_displaced_mesh = false
  [../]
  [./accel_tensor_x]
    type = CoupledTimeDerivative
    variable = disp_x
    v = vel_x_solid
    block = 1
    use_displaced_mesh = false
  [../]
  [./accel_tensor_y]
    type = CoupledTimeDerivative
    variable = disp_y
    v = vel_y_solid
    block = 1
    use_displaced_mesh = false
  [../]
  [./vxs_time_derivative_term]
    type = CoupledTimeDerivative
    variable = vel_x_solid
    v = disp_x
    block = 1
    use_displaced_mesh = false
  [../]
  [./vys_time_derivative_term]
    type = CoupledTimeDerivative
    variable = vel_y_solid
    v = disp_y
    block = 1
    use_displaced_mesh = false
  [../]
  [./source_vxs]
    type = MatReaction
    variable = vel_x_solid
    block = 1
    reaction_rate = 1
    use_displaced_mesh = false
  [../]
  [./source_vys]
    type = MatReaction
    variable = vel_y_solid
    block = 1
    reaction_rate = 1
    use_displaced_mesh = false
  [../]
[]

[InterfaceKernels]
  [./penalty_interface_x]
    type = CoupledPenaltyInterfaceDiffusion
    variable = vel_x
    neighbor_var = disp_x
    secondary_coupled_var = vel_x_solid
    boundary = master0_interface
    penalty = 1e6
  [../]
  [./penalty_interface_y]
    type = CoupledPenaltyInterfaceDiffusion
    variable = vel_y
    neighbor_var = disp_y
    secondary_coupled_var = vel_y_solid
    boundary = master0_interface
    penalty = 1e6
  [../]
[]

[Physics/SolidMechanics/QuasiStatic]
  [./solid_domain]
    strain = SMALL
    incremental = false
    # generate_output = 'strain_xx strain_yy strain_zz' ## Not at all necessary, but nice
    block = '1'
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeIsotropicElasticityTensor
    youngs_modulus = 1e2
    poissons_ratio = 0.3
    block = '1'
    use_displaced_mesh = false
  [../]
  [./small_stress]
    type = ComputeLinearElasticStress
    block = 1
  [../]
  [./const]
    type = GenericConstantMaterial
    block = 0
    prop_names = 'rho mu'
    prop_values = '1  1'
    use_displaced_mesh = false
  [../]
[]

[BCs]
  [./fluid_x_no_slip]
    type = DirichletBC
    variable = vel_x
    boundary = 'bottom'
    value = 0.0
  [../]
  [./fluid_y_no_slip]
    type = DirichletBC
    variable = vel_y
    boundary = 'bottom left_to_0'
    value = 0.0
  [../]
  [./x_inlet]
    type = FunctionDirichletBC
    variable = vel_x
    boundary = 'left_to_0'
    function = 'inlet_func'
  [../]
  [./no_disp_x]
    type = DirichletBC
    variable = disp_x
    boundary = 'bottom top left_to_1 right_to_1 left_to_0 right_to_0'
    value = 0
  [../]
  [./no_disp_y]
    type = DirichletBC
    variable = disp_y
    boundary = 'bottom top left_to_1 right_to_1 left_to_0 right_to_0'
    value = 0
  [../]
  [./solid_x_no_slip]
    type = DirichletBC
    variable = vel_x_solid
    boundary = 'top left_to_1 right_to_1'
    value = 0.0
  [../]
  [./solid_y_no_slip]
    type = DirichletBC
    variable = vel_y_solid
    boundary = 'top left_to_1 right_to_1'
    value = 0.0
  [../]
[]

[Preconditioning]
  [./SMP]
    type = SMP
    full = true
  [../]
[]

[Executioner]
  type = Transient
  num_steps = 5
  # num_steps = 60
  dt = 0.1
  dtmin = 0.1
  solve_type = 'PJFNK'
  petsc_options_iname = '-pc_type -pc_factor_shift_type'
  petsc_options_value = 'lu       NONZERO'
  line_search = none
  nl_rel_tol = 1e-50
  nl_abs_tol = 1e-10
[]

[Outputs]
  [./out]
    type = Exodus
  [../]
[]

[Functions]
  [./inlet_func]
    type = ParsedFunction
    expression = '(-16 * (y - 0.25)^2 + 1) * (1 + cos(t))'
  [../]
[]

(modules/solid_mechanics/test/tests/rate_independent_cyclic_hardening/nonlin_isokinharden_symmetric_strain_controlled.i)

# This simulation uses the piece-wise strain hardening model
# with the Finite strain formulation.
#
# This test applies a repeated displacement loading and unloading condition on
# the top in the y direction. The material deforms elastically until the
# loading reaches the initial yield point and then plastic deformation starts.
#
# This test captures isotropic hardening as well as kinematic hardening. Hence
# the yield surface begins to translate as well as grow as stress increases.
# The backstress and yield surface evolves with plastic strain to capture
# this translation and growth.
#
# If the reverse load is strong enough (more than yield point), the material
# will yield in the reverse direction, which takes into account the
# Bauschinger effect(reduction in yield stress in the opposite direction), which
# is dependent the value of kinematic hardening modulus.
#
# This test is based on the similar response obtained for a prescribed symmetrical
# stress path in Besson, Jacques, et al. Non-linear mechanics of materials. Vol. 167.
# Springer Science & Business Media, 2009  pg. 88 fig. 3.5. This SolidMechanics code
# matches the SolidMechanics solution.

[Mesh]
  file = 1x1x1cube.e
[]

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]

[Functions]
  [top_pull]
    type = PiecewiseLinear
    xy_data = '0 0
    0.025 0.0025
    0.05 0.005
    0.1 0.01
    0.15 0.005
    0.2 0
    0.25 -0.005
    0.3 -0.01
    0.35 -0.005
    0.45 0
    0.5 0.005
    0.55 0.01
    0.65 0.005
    0.7 0
    0.75 -0.005
    0.8 -0.01
    0.85 -0.005
    0.9 0
    0.95 0.005
    1 0.01
    1.05 0.005
    1.1 0
    1.15 -0.005
    1.2 -0.01
    1.25 -0.005
    1.3 0
    1.35 0.005
    1.4 0.01
    1.45 0.005
    1.5 0
    1.55 -0.005
    1.60 -0.01
    1.65 -0.005
    1.7 0
    1.75 0.005
    1.8 0.01
    1.85 0.005
    1.9 0
    1.95 -0.005
    2 -0.01
    2.05 -0.005
    2.10 0
    2.15 0.005
    2.2 0.01
    2.25 0.005
    2.3 0
    2.35 -0.005
    2.4 -0.01
    2.45 -0.005
    2.5 0'
  []
[]

[Physics]
  [SolidMechanics]
    [QuasiStatic]
      [all]
        strain = SMALL
        incremental = true
        add_variables = true
        generate_output = 'strain_yy stress_yy plastic_strain_xx plastic_strain_yy plastic_strain_zz'
      []
    []
  []
[]

[BCs]
  [y_pull_function]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 5
    function = top_pull
  []
  [x_bot]
    type = DirichletBC
    variable = disp_x
    boundary = 4
    value = 0.0
  []
  [y_bot]
    type = DirichletBC
    variable = disp_y
    boundary = 3
    value = 0.0
  []
  [z_bot]
    type = DirichletBC
    variable = disp_z
    boundary = 2
    value = 0.0
  []
[]

[Materials]
  [elasticity_tensor]
    type = ComputeIsotropicElasticityTensor
    youngs_modulus = 2e5
    poissons_ratio = 0
  []
  [combined_plasticity]
    type = CombinedNonlinearHardeningPlasticity
    yield_stress = 100
    isotropic_hardening_constant = 0
    q = 50
    b = 5
    kinematic_hardening_modulus = 40000
    gamma = 400
  []
  [radial_return_stress]
    type = ComputeMultipleInelasticStress
    tangent_operator = elastic
    inelastic_models = 'combined_plasticity'
  []
[]

[Executioner]
  type = Transient

  solve_type = NEWTON

  petsc_options = '-snes_ksp_ew'
  petsc_options_iname = '-ksp_gmres_restart -pctype'
  petsc_options_value = '101                lu'

  line_search = 'none'

  l_max_its = 50
  nl_max_its = 50
  nl_rel_tol = 1e-12
  nl_abs_tol = 1e-10
  l_tol = 1e-9

  start_time = 0.0
  end_time = 1      # change end_time = 2.5 for more cycles of kinematic hardening
  dt = 0.005           # keep dt = 0.000125 for a finer non linear kinematic plot
  dtmin = 0.001
[]

[Postprocessors]
  [stress_yy]
    type = ElementAverageValue
    variable = stress_yy
  []
  [strain_yy]
    type = ElementAverageValue
    variable = strain_yy
  []
[]

[Outputs]
  csv = true
[]

(modules/solid_mechanics/test/tests/finite_strain_tensor_mechanics_tests/elastic_rotation.i)

#
# Rotation Test
#
# This test is designed to compute a uniaxial stress and then follow that
# stress as the mesh is rotated 90 degrees.
#
# The mesh is composed of one block with a single element.  The nodal
# displacements in the x and y directions are prescribed.  Poisson's
# ratio is zero.
#

[Mesh]
  file = rotation_test.e
[]

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]

[Functions]
  # Functions
  [./x_200]
    type = ParsedFunction
    symbol_names = 'delta t0'
    symbol_values = '-1e-6 1.0'
    expression = 'if(t<=1.0, delta*t, (1.0+delta)*cos(pi/2*(t-t0)) - 1.0)'
  [../]
  [./y_200]
    type = ParsedFunction
    symbol_names = 'delta t0'
    symbol_values = '-1e-6 1.0'
    expression = 'if(t<=1.0, 0.0, (1.0+delta)*sin(pi/2*(t-t0)))'
  [../]
  [./x_300]
    type = ParsedFunction
    symbol_names = 'delta t0'
    symbol_values = '-1e-6 1.0'
    expression = 'if(t<=1.0, delta*t, (1.0+delta)*cos(pi/2.0*(t-t0)) - sin(pi/2.0*(t-t0)) - 1.0)'
  [../]
  [./y_300]
    type = ParsedFunction
    symbol_names = 'delta t0'
    symbol_values = '-1e-6 1.0'
    expression = 'if(t<=1.0, 0.0, cos(pi/2.0*(t-t0)) + (1+delta)*sin(pi/2.0*(t-t0)) - 1.0)'
  [../]
  [./x_400]
    type = ParsedFunction
    symbol_names = 'delta t0'
    symbol_values = '-1e-6 1.0'
    expression = 'if(t<=1.0, 0.0, -sin(pi/2.0*(t-t0)))'
  [../]
  [./y_400]
    type = ParsedFunction
    symbol_names = 'delta t0'
    symbol_values = '-1e-6 1.0'
    expression = 'if(t<=1.0, 0.0, cos(pi/2.0*(t-t0)) - 1.0)'
  [../]
[]

[Variables]
  # Variables
  [./disp_x]
    order = FIRST
    family = LAGRANGE
  [../]
  [./disp_y]
    order = FIRST
    family = LAGRANGE
  [../]
  [./disp_z]
    order = FIRST
    family = LAGRANGE
  [../]
[]

[AuxVariables]
  # AuxVariables
  [./stress_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xy]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]

[Kernels]
  [SolidMechanics]
    use_displaced_mesh = true
  [../]
[]

[AuxKernels]
  # AuxKernels
  [./stress_xx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xx
    index_i = 0
    index_j = 0
  [../]
  [./stress_yy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yy
    index_i = 1
    index_j = 1
  [../]
  [./stress_xy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xy
    index_i = 0
    index_j = 1
  [../]
[]

[BCs]
  # BCs
  [./no_x]
    type = DirichletBC
    variable = disp_x
    boundary = 100
    value = 0.0
  [../]
  [./no_y]
    type = DirichletBC
    variable = disp_y
    boundary = 100
    value = 0.0
  [../]
  [./x_200]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 200
    function = x_200
  [../]
  [./y_200]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 200
    function = y_200
  [../]
  [./x_300]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 300
    function = x_300
  [../]
  [./y_300]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 300
    function = y_300
  [../]
  [./x_400]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 400
    function = x_400
  [../]
  [./y_400]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 400
    function = y_400
  [../]
  [./no_z]
    type = DirichletBC
    variable = disp_z
    boundary = '100 200 300 400'
    value = 0.0
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    block = 1
    C_ijkl = '1.0e6  0.0   0.0 1.0e6  0.0  1.0e6 0.5e6 0.5e6 0.5e6'
    fill_method = symmetric9
  [../]
  [./strain]
    type = ComputeFiniteStrain
    block = 1
    displacements = 'disp_x disp_y disp_z'
  [../]
  [./stress]
    type = ComputeFiniteStrainElasticStress
    block = 1
  [../]
[]

[Postprocessors]
  [./stress_xx]
    type = ElementAverageValue
    variable = stress_xx
  [../]
  [./stress_yy]
    type = ElementAverageValue
    variable = stress_yy
  [../]
  [./stress_xy]
    type = ElementAverageValue
    variable = stress_xy
  [../]
[]

[Preconditioning]
  [./SMP]
    type = SMP
    full = true
  [../]
[]

[Executioner]
  # Executioner
  type = Transient

  solve_type = 'NEWTON'

  petsc_options_iname = '-pc_type '
  petsc_options_value = 'lu'
  nl_rel_tol = 1e-30
  nl_abs_tol = 1e-20
  l_max_its = 20
  start_time = 0.0
  dt = 0.01
  end_time = 2.0
[]

[Outputs]
  exodus = true
[] # Outputs

(modules/solid_mechanics/test/tests/umat/plane_strain/plane_strain.i)

# Testing the UMAT Interface - creep linear strain hardening model using the finite strain formulation - visco-plastic material.
# Uses 2D plane strain

[GlobalParams]
  displacements = 'disp_x disp_y'
[]

[Mesh]
  [gen]
    type = GeneratedMeshGenerator
    dim = 2
    xmin = -0.5
    xmax = 0.5
    ymin = -0.5
    ymax = 0.5
  []
[]

[Functions]
  [top_pull]
    type = ParsedFunction
    expression = t/100
  []
[]

[Physics/SolidMechanics/QuasiStatic]
  [all]
    add_variables = true
    strain = FINITE
    generate_output = 'strain_yy stress_yy stress_zz'
    planar_formulation = PLANE_STRAIN
  []
[]

[BCs]
  [y_pull_function]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = top
    function = top_pull
  []
  [x_bot]
    type = DirichletBC
    variable = disp_x
    boundary = left
    value = 0.0
  []
  [y_bot]
    type = DirichletBC
    variable = disp_y
    boundary = bottom
    value = 0.0
  []
[]

[Materials]
  [constant]
    type = AbaqusUMATStress
    #                      Young's modulus,  Poisson's Ratio, Yield, Hardening
    constant_properties = '1000 0.3 10 100'
    plugin = ../../../plugins/linear_strain_hardening
    num_state_vars = 3
    use_one_based_indexing = true
  []
[]

[Executioner]
  type = Transient
  solve_type = 'PJFNK'

  petsc_options = '-snes_ksp_ew'
  petsc_options_iname = '-ksp_gmres_restart'
  petsc_options_value = '101'

  line_search = 'none'

  l_max_its = 100
  nl_max_its = 100
  nl_rel_tol = 1e-12
  nl_abs_tol = 1e-10
  l_tol = 1e-9
  start_time = 0.0
  num_steps = 30
  dt = 1.0
[]

[Preconditioning]
  [smp]
    type = SMP
    full = true
  []
[]

[Postprocessors]
  [average_strain_yy]
    type = ElementAverageValue
    variable = 'strain_yy'
  []
  [average_stress_yy]
    type = ElementAverageValue
    variable = 'stress_yy'
  []
  [average_stress_zz]
    type = ElementAverageValue
    variable = 'stress_zz'
  []
[]

[Outputs]
  [out]
    type = Exodus
    elemental_as_nodal = true
  []
[]

(test/tests/geomsearch/3d_moving_penetration_smoothing/pl_test4qns.i)

[GlobalParams]
  order = SECOND
  family = LAGRANGE
[]

[Mesh]
  file = pl_test4q.e
  displacements = 'disp_x disp_y disp_z'
[]

[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
[]

[AuxVariables]
  [./distance]
  [../]
  [./tangential_distance]
  [../]
  [./normal_x]
  [../]
  [./normal_y]
  [../]
  [./normal_z]
  [../]
  [./closest_point_x]
  [../]
  [./closest_point_y]
  [../]
  [./closest_point_z]
  [../]
#  [./element_id]
#  [../]
  [./side]
  [../]
[]

[Kernels]
  [./diff_x]
    type = Diffusion
    variable = disp_x
  [../]
  [./diff_y]
    type = Diffusion
    variable = disp_y
  [../]
  [./diff_z]
    type = Diffusion
    variable = disp_z
  [../]
[]

[AuxKernels]
  [./penetrate]
    type = PenetrationAux
    variable = distance
    boundary = 11            #secondary
    paired_boundary = 12     #primary
    normal_smoothing_distance = 0.2
  [../]

  [./penetrate2]
    type = PenetrationAux
    variable = distance
    boundary = 12            #secondary
    paired_boundary = 11     #primary
    normal_smoothing_distance = 0.2
  [../]

  [./penetrate3]
    type = PenetrationAux
    variable = tangential_distance
    boundary = 11
    paired_boundary = 12
    quantity = tangential_distance
  [../]

  [./penetrate4]
    type = PenetrationAux
    variable = tangential_distance
    boundary = 12
    paired_boundary = 11
    quantity = tangential_distance
  [../]

  [./penetrate5]
    type = PenetrationAux
    variable = normal_x
    boundary = 11
    paired_boundary = 12
    quantity = normal_x
  [../]

  [./penetrate6]
    type = PenetrationAux
    variable = normal_x
    boundary = 12
    paired_boundary = 11
    quantity = normal_x
  [../]

  [./penetrate7]
    type = PenetrationAux
    variable = normal_y
    boundary = 11
    paired_boundary = 12
    quantity = normal_y
  [../]

  [./penetrate8]
    type = PenetrationAux
    variable = normal_y
    boundary = 12
    paired_boundary = 11
    quantity = normal_y
  [../]

  [./penetrate9]
    type = PenetrationAux
    variable = normal_z
    boundary = 11
    paired_boundary = 12
    quantity = normal_z
  [../]

  [./penetrate10]
    type = PenetrationAux
    variable = normal_z
    boundary = 12
    paired_boundary = 11
    quantity = normal_z
  [../]

  [./penetrate11]
    type = PenetrationAux
    variable = closest_point_x
    boundary = 11
    paired_boundary = 12
    quantity = closest_point_x
  [../]

  [./penetrate12]
    type = PenetrationAux
    variable = closest_point_x
    boundary = 12
    paired_boundary = 11
    quantity = closest_point_x
  [../]

  [./penetrate13]
    type = PenetrationAux
    variable = closest_point_y
    boundary = 11
    paired_boundary = 12
    quantity = closest_point_y
  [../]

  [./penetrate14]
    type = PenetrationAux
    variable = closest_point_y
    boundary = 12
    paired_boundary = 11
    quantity = closest_point_y
  [../]

  [./penetrate15]
    type = PenetrationAux
    variable = closest_point_z
    boundary = 11
    paired_boundary = 12
    quantity = closest_point_z
  [../]

  [./penetrate16]
    type = PenetrationAux
    variable = closest_point_z
    boundary = 12
    paired_boundary = 11
    quantity = closest_point_z
  [../]

#  [./penetrate17]
#    type = PenetrationAux
#    variable = element_id
#    boundary = 11
#    paired_boundary = 12
#    quantity = element_id
#  [../]
#
#  [./penetrate18]
#    type = PenetrationAux
#    variable = element_id
#    boundary = 12
#    paired_boundary = 11
#    quantity = element_id
#  [../]

  [./penetrate19]
    type = PenetrationAux
    variable = side
    boundary = 11
    paired_boundary = 12
    quantity = side
  [../]

  [./penetrate20]
    type = PenetrationAux
    variable = side
    boundary = 12
    paired_boundary = 11
    quantity = side
  [../]
[]

[BCs]
  [./b1x]
    type = DirichletBC
    variable = disp_x
    boundary = 1
    value = 0
  [../]

  [./b1y]
    type = DirichletBC
    variable = disp_y
    boundary = 1
    value = 0
  [../]

  [./b1z]
    type = DirichletBC
    variable = disp_z
    boundary = 1
    value = 0
  [../]

  [./b2x]
    type = DirichletBC
    variable = disp_x
    boundary = 2
    value = 0
  [../]

  [./b2y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 2
    function = disp_y
  [../]

  [./b2z]
    type = DirichletBC
    variable = disp_z
    boundary = 2
    value = 0
  [../]
[]

[Functions]
  [./disp_y]
    type = PiecewiseLinear
    x = '0.0 0.25 0.75 1.0'
    y = '0.0 2.0 -2.0  0.0'
  [../]
[]

[Executioner]
  type = Transient

  solve_type = 'PJFNK'
  petsc_options = '-snes_ksp_ew'

  nl_rel_tol = 1e-9
  l_max_its = 10

  start_time = 0.0
  dt = 0.025
  end_time = 1.0
  [./Quadrature]
    order = THIRD
  [../]
[]

[Outputs]
  file_base = pl_test4qns_out
  exodus = true
[]

(modules/solid_mechanics/test/tests/lagrangian/materials/convergence/hyperelastic_J2_plastic.i)

E = 6.88e4
nu = 0.25

[GlobalParams]
  large_kinematics = true
[]

[Variables]
  [disp_x]
  []
  [disp_y]
  []
  [disp_z]
  []
[]

[Mesh]
  [msh]
    type = GeneratedMeshGenerator
    dim = 3
    nx = 1
    ny = 1
    nz = 1
  []
[]

[Kernels]
  [sdx]
    type = TotalLagrangianStressDivergence
    variable = disp_x
    component = 0
    displacements = 'disp_x disp_y disp_z'
  []
  [sdy]
    type = TotalLagrangianStressDivergence
    variable = disp_y
    component = 1
    displacements = 'disp_x disp_y disp_z'
  []
  [sdz]
    type = TotalLagrangianStressDivergence
    variable = disp_z
    component = 2
    displacements = 'disp_x disp_y disp_z'
  []
[]

[BCs]
  [fix_x]
    type = DirichletBC
    variable = disp_x
    boundary = 'left'
    value = 0.0
  []
  [fix_y]
    type = DirichletBC
    variable = disp_y
    boundary = 'bottom'
    value = 0.0
  []
  [fix_z]
    type = DirichletBC
    variable = disp_z
    boundary = 'back'
    value = 0.0
  []
  [pull_x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'right'
    function = 't'
    preset = true
  []
[]

[Materials]
  [elastic_tensor]
    type = ComputeIsotropicElasticityTensor
    youngs_modulus = ${E}
    poissons_ratio = ${nu}
  []
  [compute_strain]
    type = ComputeLagrangianStrain
    displacements = 'disp_x disp_y disp_z'
  []
  [flow_stress]
    type = DerivativeParsedMaterial
    property_name = flow_stress
    expression = '320+688*effective_plastic_strain'
    material_property_names = 'effective_plastic_strain'
    additional_derivative_symbols = 'effective_plastic_strain'
    derivative_order = 2
    compute = false
  []
  [compute_stress]
    type = ComputeSimoHughesJ2PlasticityStress
    flow_stress_material = flow_stress
  []
[]

[Executioner]
  type = Transient

  solve_type = NEWTON
  line_search = none

  petsc_options_iname = '-pc_type'
  petsc_options_value = 'lu'

  nl_rel_tol = 1e-8
  nl_abs_tol = 1e-10

  start_time = 0.0
  dt = 5e-4
  num_steps = 20
[]

(examples/ex13_functions/ex13.i)

[Mesh]
  type = GeneratedMesh
  dim = 2

  nx = 100
  ny = 100

  xmin = 0.0
  xmax = 1.0

  ymin = 0.0
  ymax = 1.0
[]

[Variables]
  [./forced]
    order = FIRST
    family = LAGRANGE
  [../]
[]

[Functions]
  # A ParsedFunction allows us to supply analytic expressions
  # directly in the input file
  [./bc_func]
    type = ParsedFunction
    expression = sin(alpha*pi*x)
    symbol_names = 'alpha'
    symbol_values = '16'
  [../]

  # This function is an actual compiled function
  # We could have used ParsedFunction for this as well
  [./forcing_func]
    type = ExampleFunction
    alpha = 16
  [../]
[]

[Kernels]
  [./diff]
    type = Diffusion
    variable = forced
  [../]

  # This Kernel can take a function name to use
  [./forcing]
    type = BodyForce
    variable = forced
    function = forcing_func
  [../]
[]

[BCs]
  # The BC can take a function name to use
  [./all]
    type = FunctionDirichletBC
    variable = forced
    boundary = 'bottom right top left'
    function = bc_func
  [../]
[]

[Executioner]
  type = Steady
  solve_type = 'PJFNK'
[]

[Outputs]
  execute_on = 'timestep_end'
  exodus = true
[]

(modules/solid_mechanics/tutorials/basics/part_2.4.i)

#Tensor Mechanics tutorial: the basics
#Step 2, part 4
#2D axisymmetric RZ simulation of uniaxial tension with J2 plasticity with
#hardening

[GlobalParams]
  displacements = 'disp_r disp_z'
[]

[Problem]
  coord_type = RZ
[]

[Mesh]
  file = necking_quad4.e
  uniform_refine = 0
  second_order = true
[]

[Physics/SolidMechanics/QuasiStatic]
  [./block1]
    strain = FINITE
    add_variables = true
    generate_output = 'stress_yy strain_yy vonmises_stress'
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeIsotropicElasticityTensor
    youngs_modulus = 2.1e5
    poissons_ratio = 0.3
  [../]
  [./stress]
    type = ComputeMultiPlasticityStress
    ep_plastic_tolerance = 1e-9
    plastic_models = J2
  [../]
[]

[UserObjects]
  [./hardening]
    type = SolidMechanicsHardeningCubic
    value_0 = 2.4e2
    value_residual = 3.0e2
    internal_0 = 0
    internal_limit = 0.005
  [../]
  [./J2]
    type = SolidMechanicsPlasticJ2
    yield_strength = hardening
    yield_function_tolerance = 1E-9
    internal_constraint_tolerance = 1E-9
  [../]
[]

[BCs]
  [./left]
    type = DirichletBC
    variable = disp_r
    boundary = left
    value = 0.0
  [../]
  [./bottom]
    type = DirichletBC
    variable = disp_z
    boundary = bottom
    value = 0.0
  [../]
  [./top]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = top
    function = '0.0007*t'
  [../]
[]

[Preconditioning]
  [./SMP]
    type = SMP
    full = true
  [../]
[]

[Executioner]
  type = Transient
  dt = 0.25
  end_time = 20

  solve_type = 'PJFNK'

  petsc_options = '-snes_ksp_ew'
  petsc_options_iname = '-pc_type -sub_pc_type -pc_asm_overlap -ksp_gmres_restart'
  petsc_options_value = 'asm lu 1 101'
[]

[Postprocessors]
  [./ave_stress_bottom]
    type = SideAverageValue
    variable = stress_yy
    boundary = bottom
  [../]
  [./ave_strain_bottom]
    type = SideAverageValue
    variable = strain_yy
    boundary = bottom
  [../]
[]

[Outputs]
  exodus = true
  perf_graph = true
  csv = true
  print_linear_residuals = false
[]

(modules/navier_stokes/test/tests/finite_element/ins/velocity_channel/velocity_inletBC_by_parts.i)

# This input file tests outflow boundary conditions for the incompressible NS equations.

[GlobalParams]
  gravity = '0 0 0'
  integrate_p_by_parts = true
[]

[Mesh]
  type = GeneratedMesh
  dim = 2
  xmin = 0
  xmax = 3.0
  ymin = 0
  ymax = 1.0
  nx = 30
  ny = 10
  elem_type = QUAD9
[]


[Variables]
  [./vel_x]
    order = SECOND
    family = LAGRANGE
  [../]
  [./vel_y]
    order = SECOND
    family = LAGRANGE
  [../]
  [./p]
    order = FIRST
    family = LAGRANGE
  [../]
[]

[Kernels]
  [./mass]
    type = INSMass
    variable = p
    u = vel_x
    v = vel_y
    pressure = p
  [../]
  [./x_momentum_space]
    type = INSMomentumLaplaceForm
    variable = vel_x
    u = vel_x
    v = vel_y
    pressure = p
    component = 0
  [../]
  [./y_momentum_space]
    type = INSMomentumLaplaceForm
    variable = vel_y
    u = vel_x
    v = vel_y
    pressure = p
    component = 1
  [../]
[]

[BCs]
  [./x_no_slip]
    type = DirichletBC
    variable = vel_x
    boundary = 'top bottom'
    value = 0.0
  [../]
  [./y_no_slip]
    type = DirichletBC
    variable = vel_y
    boundary = 'left top bottom'
    value = 0.0
  [../]
  [./x_inlet]
    type = FunctionDirichletBC
    variable = vel_x
    boundary = 'left'
    function = 'inlet_func'
  [../]
[]

[Materials]
  [./const]
    type = GenericConstantMaterial
    block = 0
    prop_names = 'rho mu'
    prop_values = '1  1'
  [../]
[]

[Preconditioning]
  [./SMP_PJFNK]
    type = SMP
    full = true
    solve_type = NEWTON
  [../]
[]

[Executioner]
  type = Steady
  petsc_options_iname = '-ksp_gmres_restart -pc_type -sub_pc_type -sub_pc_factor_levels'
  petsc_options_value = '300                bjacobi  ilu          4'
  line_search = none
  nl_rel_tol = 1e-12
  nl_max_its = 6
  l_tol = 1e-6
  l_max_its = 300
[]

[Outputs]
  [./out]
    type = Exodus
  [../]
[]

[Functions]
  [./inlet_func]
    type = ParsedFunction
    expression = '-4 * (y - 0.5)^2 + 1'
  [../]
[]

(test/tests/postprocessors/side_extreme_value/nonlinear_variable.i)

[Mesh]
  type = GeneratedMesh
  dim = 2
  nx = 10
  ny = 10
  second_order = true
[]

[Variables]
  [u]
    order = SECOND
  []
[]

[Kernels]
  [diff]
    type = Diffusion
    variable = u
  []
[]

[BCs]
  [top]
    type = FunctionDirichletBC
    variable = u
    function = 'sin(x*2*pi)'
    boundary = top
  []
[]

[Postprocessors]
  [max]
    type = SideExtremeValue
    variable = u
    boundary = top
  []
  [min]
    type = SideExtremeValue
    variable = u
    boundary = top
    value_type = min
  []
[]

[Executioner]
  type = Steady
  petsc_options_iname = '-pc_type'
  petsc_options_value = 'lu'
[]

[Outputs]
  csv = true
[]

(modules/solid_mechanics/test/tests/uel/tensile_uel_umat_moose.i)

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]

[Mesh]
  [mesh]
    type = GeneratedMeshGenerator
    dim = 3
    nx = 1
    ny = 1
    nz = 1
    elem_type = HEX8
  []
  [extra_nodeset]
    type = ExtraNodesetGenerator
    input = mesh
    new_boundary = 'master'
    coord = '1.0 1.0 1.0'
  []
[]

# [AuxVariables]
#   [temperature]
#     initial_condition = 500
#   []
# []

[Variables]
  [disp_x]
  []
  [disp_y]
  []
  [disp_z]
  []
[]

[Functions]
  [function_pull]
    type = PiecewiseLinear
    x = '0 100'
    y = '0 0.1'
  []
[]

[Constraints]
  [one]
    type = LinearNodalConstraint
    variable = disp_x
    primary = '6'
    secondary_node_ids = '1 2 5'
    penalty = 1.0e8
    formulation = kinematic
    weights = '1'
  []
  [two]
    type = LinearNodalConstraint
    variable = disp_z
    primary = '6'
    secondary_node_ids = '4 5 7'
    penalty = 1.0e8
    formulation = kinematic
    weights = '1'
  []
[]

[BCs]
  [symmy]
    type = DirichletBC
    variable = disp_y
    boundary = bottom
    value = 0
  []
  [symmx]
    type = DirichletBC
    variable = disp_x
    boundary = left
    value = 0
  []
  [symmz]
    type = DirichletBC
    variable = disp_z
    boundary = back
    value = 0
  []
  # What's done below is to capture the weird constraints
  [axial_load]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'top'
    function = function_pull
  []
[]

[UserObjects]
  [uel]
    type = AbaqusUserElement
    variables = 'disp_x disp_y'
    plugin = '../../../../solid_mechanics/examples/uel_build/uel'
    use_displaced_mesh = false

    #temperature = temperature # TODO
    #use_one_based_indexing = true # TODO

    jtype = 17
    num_state_vars = 177
    constant_properties = '190.0 28.0 3.0 1.0 6.0 0.0 0.0 23.0 25.0 26.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 '
                          '0.0 0.0 0.0 0.0 0.0 31700000.0 0.32 6.67e-06 1e-08 5000.0 4.0' # 27 properties
    extra_vector_tags = 'kernel_residual'
  []
[]

[Problem]
  kernel_coverage_check = false
  extra_tag_vectors = 'kernel_residual'
[]

[AuxVariables]
  [res_x]
  []
  [res_y]
  []
[]

[AuxKernels]
  [res_x]
    type = TagVectorAux
    variable = res_x
    v = disp_x
    vector_tag = kernel_residual
  []
  [res_y]
    type = TagVectorAux
    variable = res_y
    v = disp_y
    vector_tag = kernel_residual
  []
[]

[Preconditioning]
  [smp]
    type = SMP
    full = true
  []
[]

[Executioner]
  type = Transient

  l_max_its = 100
  l_tol = 1e-8
  nl_max_its = 50
  nl_rel_tol = 1e-8
  nl_abs_tol = 1e-8

  dtmin = 1
  dt = 5
  end_time = 100
[]

[Outputs]
  exodus = true
[]

(modules/solid_mechanics/test/tests/mohr_coulomb/small_deform_hard3.i)

# apply repeated stretches in x z directions, and smaller stretches along the y direction,
# so that sigma_I = sigma_II,
# which means that lode angle = 30deg.
# The allows yield surface in meridional plane to be mapped out
#
# friction_angle = 50deg, friction_angle_residual=51deg, friction_angle_rate = 1E7 (huge)
# cohesion = 10, cohesion_residual = 9.9, cohesion_rate = 1E7 (huge)

[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]


[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
[]

[Kernels]
  [SolidMechanics]
    displacements = 'disp_x disp_y disp_z'
  [../]
[]


[BCs]
  [./x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'front back'
    function = '1E-6*x*t'
  [../]
  [./y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'front back'
    function = '0.25E-6*y*sin(t)'
  [../]
  [./z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'front back'
    function = '1E-6*z*t'
  [../]
[]

[AuxVariables]
  [./stress_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./mc_int]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./yield_fcn]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]

[AuxKernels]
  [./stress_xx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xx
    index_i = 0
    index_j = 0
  [../]
  [./stress_xy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xy
    index_i = 0
    index_j = 1
  [../]
  [./stress_xz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xz
    index_i = 0
    index_j = 2
  [../]
  [./stress_yy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yy
    index_i = 1
    index_j = 1
  [../]
  [./stress_yz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yz
    index_i = 1
    index_j = 2
  [../]
  [./stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zz
    index_i = 2
    index_j = 2
  [../]
  [./mc_int_auxk]
    type = MaterialStdVectorAux
    index = 0
    property = plastic_internal_parameter
    variable = mc_int
  [../]
  [./yield_fcn_auxk]
    type = MaterialStdVectorAux
    index = 0
    property = plastic_yield_function
    variable = yield_fcn
  [../]
[]

[Postprocessors]
  [./s_xx]
    type = PointValue
    point = '0 0 0'
    variable = stress_xx
  [../]
  [./s_xy]
    type = PointValue
    point = '0 0 0'
    variable = stress_xy
  [../]
  [./s_xz]
    type = PointValue
    point = '0 0 0'
    variable = stress_xz
  [../]
  [./s_yy]
    type = PointValue
    point = '0 0 0'
    variable = stress_yy
  [../]
  [./s_yz]
    type = PointValue
    point = '0 0 0'
    variable = stress_yz
  [../]
  [./s_zz]
    type = PointValue
    point = '0 0 0'
    variable = stress_zz
  [../]
  [./internal]
    type = PointValue
    point = '0 0 0'
    variable = mc_int
  [../]
  [./f]
    type = PointValue
    point = '0 0 0'
    variable = yield_fcn
  [../]
[]

[UserObjects]
  [./mc_coh]
    type = SolidMechanicsHardeningExponential
    value_0 = 10
    value_residual = 9.9
    rate = 1E7
  [../]
  [./mc_phi]
    type = SolidMechanicsHardeningExponential
    value_0 = 0.8726646 # 50deg
    value_residual = 0.8901179 # 51deg
    rate = 1E7
  [../]
  [./mc_psi]
    type = SolidMechanicsHardeningExponential
    value_0 = 0
    value_residual = 0.8726646 # 50deg
    rate = 3000
  [../]
  [./mc]
    type = SolidMechanicsPlasticMohrCoulomb
    cohesion = mc_coh
    friction_angle = mc_phi
    dilation_angle = mc_psi
    mc_tip_smoother = 4
    mc_edge_smoother = 20
    yield_function_tolerance = 1E-6
    internal_constraint_tolerance = 1E-9
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    block = 0
    fill_method = symmetric_isotropic
    C_ijkl = '0 1E7'
  [../]
  [./strain]
    type = ComputeFiniteStrain
    block = 0
    displacements = 'disp_x disp_y disp_z'
  [../]
  [./mc]
    type = ComputeMultiPlasticityStress
    block = 0
    ep_plastic_tolerance = 1E-9
    plastic_models = mc
    debug_fspb = crash
    debug_jac_at_stress = '10 1 2 1 11 -3 2 -3 8'
    debug_jac_at_pm = 1
    debug_jac_at_intnl = 1
    debug_stress_change = 1E-5
    debug_pm_change = 1E-6
    debug_intnl_change = 1E-6
  [../]
[]


[Executioner]
  end_time = 30
  dt = 1
  type = Transient
[]


[Outputs]
  file_base = small_deform_hard3
  exodus = false
  [./csv]
    type = CSV
    [../]
[]

(test/tests/time_steppers/timesequence_stepper/timesequence.i)

[Mesh]
  type = GeneratedMesh
  dim = 2
  xmin = -1
  xmax =  1
  ymin = -1
  ymax =  1
  nx = 2
  ny = 2
  elem_type = QUAD9
[]

[Functions]
  [./exact_fn]
    type = ParsedFunction
    expression = t*t*(x*x+y*y)
  [../]

  [./forcing_fn]
    type = ParsedFunction
    expression = 2*t*(x*x+y*y)-4*t*t
  [../]
[]

[Variables]
  [./u]
    family = LAGRANGE
    order = SECOND
  [../]
[]

[ICs]
  [./u_var]
    type = FunctionIC
    variable = u
    function = exact_fn
  [../]
[]

[Kernels]
  [./td]
    type = TimeDerivative
    variable = u
  [../]

  [./diff]
    type = Diffusion
    variable = u
  [../]

  [./ffn]
    type = BodyForce
    variable = u
    function = forcing_fn
  [../]
[]

[BCs]
  [./all]
    type = FunctionDirichletBC
    variable = u
    boundary = 'left right top bottom'
    function = exact_fn
  [../]
[]

[Executioner]
  type = Transient
  end_time = 4.0
  [./TimeStepper]
    type = TimeSequenceStepper
    time_sequence  = '0   0.85 1.3 2 4'
  [../]
[]

[Outputs]
  exodus = true
[]

(modules/solid_mechanics/test/tests/multi/three_surface00.i)

# Plasticit models:
# SimpleTester0 with a = 0 and b = 1 and strength = 1
# SimpleTester1 with a = 1 and b = 0 and strength = 1
# SimpleTester2 with a = 1 and b = 1 and strength = 1.5
#
# Lame lambda = 0 (Poisson=0).  Lame mu = 0.5E6
#
# A single element is stretched by 1E-6m in y direction and 1E-6 in z direction.
# trial stress_yy = 1 and stress_zz = 1
#
# Then SimpleTester2 should activate and the algorithm will return to
# stress_yy = 0.75, stress_zz = 0.75
# internal2 should be 0.25

[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]


[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
[]

[Kernels]
  [SolidMechanics]
    displacements = 'disp_x disp_y disp_z'
  [../]
[]


[BCs]
  [./x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'front back'
    function = '0E-6*x'
  [../]
  [./y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'front back'
    function = '1E-6*y'
  [../]
  [./z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'front back'
    function = '1E-6*z'
  [../]
[]

[AuxVariables]
  [./stress_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f0]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f1]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f2]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./int0]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./int1]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./int2]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]

[AuxKernels]
  [./stress_xx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xx
    index_i = 0
    index_j = 0
  [../]
  [./stress_xy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xy
    index_i = 0
    index_j = 1
  [../]
  [./stress_xz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xz
    index_i = 0
    index_j = 2
  [../]
  [./stress_yy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yy
    index_i = 1
    index_j = 1
  [../]
  [./stress_yz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yz
    index_i = 1
    index_j = 2
  [../]
  [./stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zz
    index_i = 2
    index_j = 2
  [../]
  [./f0]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 0
    variable = f0
  [../]
  [./f1]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 1
    variable = f1
  [../]
  [./f2]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 2
    variable = f2
  [../]
  [./int0]
    type = MaterialStdVectorAux
    property = plastic_internal_parameter
    factor = 1E6
    index = 0
    variable = int0
  [../]
  [./int1]
    type = MaterialStdVectorAux
    property = plastic_internal_parameter
    factor = 1E6
    index = 1
    variable = int1
  [../]
  [./int2]
    type = MaterialStdVectorAux
    property = plastic_internal_parameter
    factor = 1E6
    index = 2
    variable = int2
  [../]
[]

[Postprocessors]
  [./s_xx]
    type = PointValue
    point = '0 0 0'
    variable = stress_xx
  [../]
  [./s_xy]
    type = PointValue
    point = '0 0 0'
    variable = stress_xy
  [../]
  [./s_xz]
    type = PointValue
    point = '0 0 0'
    variable = stress_xz
  [../]
  [./s_yy]
    type = PointValue
    point = '0 0 0'
    variable = stress_yy
  [../]
  [./s_yz]
    type = PointValue
    point = '0 0 0'
    variable = stress_yz
  [../]
  [./s_zz]
    type = PointValue
    point = '0 0 0'
    variable = stress_zz
  [../]
  [./f0]
    type = PointValue
    point = '0 0 0'
    variable = f0
  [../]
  [./f1]
    type = PointValue
    point = '0 0 0'
    variable = f1
  [../]
  [./f2]
    type = PointValue
    point = '0 0 0'
    variable = f2
  [../]
  [./int0]
    type = PointValue
    point = '0 0 0'
    variable = int0
  [../]
  [./int1]
    type = PointValue
    point = '0 0 0'
    variable = int1
  [../]
  [./int2]
    type = PointValue
    point = '0 0 0'
    variable = int2
  [../]
[]

[UserObjects]
  [./simple0]
    type = SolidMechanicsPlasticSimpleTester
    a = 0
    b = 1
    strength = 1
    yield_function_tolerance = 1.0E-9
    internal_constraint_tolerance = 1.0E-9
  [../]
  [./simple1]
    type = SolidMechanicsPlasticSimpleTester
    a = 1
    b = 0
    strength = 1
    yield_function_tolerance = 1.0E-9
    internal_constraint_tolerance = 1.0E-9
  [../]
  [./simple2]
    type = SolidMechanicsPlasticSimpleTester
    a = 1
    b = 1
    strength = 1.5
    yield_function_tolerance = 1.0E-9
    internal_constraint_tolerance = 1.0E-9
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    block = 0
    fill_method = symmetric_isotropic
    C_ijkl = '0 0.5E6'
  [../]
  [./strain]
    type = ComputeFiniteStrain
    block = 0
    displacements = 'disp_x disp_y disp_z'
  [../]
  [./multi]
    type = ComputeMultiPlasticityStress
    block = 0
    ep_plastic_tolerance = 1E-9
    plastic_models = 'simple0 simple1 simple2'
    max_NR_iterations = 2
    min_stepsize = 1
    debug_fspb = crash
    debug_jac_at_stress = '10 0 0 0 10 0 0 0 10'
    debug_jac_at_pm = '1 1 1'
    debug_jac_at_intnl = '1 1 1'
    debug_stress_change = 1E-5
    debug_pm_change = '1E-6 1E-6 1E-6'
    debug_intnl_change = '1E-6 1E-6 1E-6'
  [../]
[]


[Executioner]
  end_time = 1
  dt = 1
  type = Transient
[]


[Outputs]
  file_base = three_surface00
  exodus = false
  [./csv]
    type = CSV
    [../]
[]

(test/tests/controls/time_periods/bcs/bcs.i)

[Mesh]
  type = GeneratedMesh
  dim = 2
  nx = 10
  ny = 10
[]

[Variables]
  [./u]
  [../]
[]

[Kernels]
  [./diff]
    type = CoefDiffusion
    variable = u
    coef = 0.1
  [../]
  [./time]
    type = TimeDerivative
    variable = u
  [../]
[]

[BCs]
  [./left]
    type = DirichletBC
    variable = u
    boundary = left
    value = 0
  [../]
  [./right]
    type = DirichletBC
    variable = u
    boundary = right
    value = 1
  [../]
  [./right2]
    type = FunctionDirichletBC
    variable = u
    boundary = right
    function = (y*(t-1))+1
  [../]
[]

[Executioner]
  type = Transient
  num_steps = 20
  dt = 0.1
  solve_type = PJFNK
  petsc_options_iname = '-pc_type -pc_hypre_type'
  petsc_options_value = 'hypre boomeramg'
[]

[Outputs]
  exodus = true
[]

[Controls]
  [./period0]
    type = TimePeriod
    disable_objects = 'BCs::right2'
    start_time = '0'
    end_time = '0.95'
    execute_on = 'initial timestep_begin'
  [../]

  [./period2]
    type = TimePeriod
    disable_objects = 'BCs::right'
    start_time = '1'
    execute_on = 'initial timestep_begin'
  [../]
[]

(modules/contact/test/tests/mortar_tm/2d/frictionless_first/finite.i)

E_block = 1e7
E_plank = 1e7
elem = QUAD4
order = FIRST
name = 'finite'

[Mesh]
  patch_size = 80
  patch_update_strategy = auto
  [plank]
    type = GeneratedMeshGenerator
    dim = 2
    xmin = -0.3
    xmax = 0.3
    ymin = -10
    ymax = 10
    nx = 2
    ny = 67
    elem_type = ${elem}
    boundary_name_prefix = plank
  []
  [plank_id]
    type = SubdomainIDGenerator
    input = plank
    subdomain_id = 1
  []

  [block]
    type = GeneratedMeshGenerator
    dim = 2
    xmin = 0.31
    xmax = 0.91
    ymin = 7.7
    ymax = 8.5
    nx = 3
    ny = 4
    elem_type = ${elem}
    boundary_name_prefix = block
    boundary_id_offset = 10
  []
  [block_id]
    type = SubdomainIDGenerator
    input = block
    subdomain_id = 2
  []

  [combined]
    type = MeshCollectionGenerator
    inputs = 'plank_id block_id'
  []
  [block_rename]
    type = RenameBlockGenerator
    input = combined
    old_block = '1 2'
    new_block = 'plank block'
  []
[]

[GlobalParams]
  displacements = 'disp_x disp_y'
[]

[Variables]
  [disp_x]
    order = ${order}
    block = 'plank block'
    scaling = '${fparse 2.0 / (E_plank + E_block)}'
  []
  [disp_y]
    order = ${order}
    block = 'plank block'
    scaling = '${fparse 2.0 / (E_plank + E_block)}'
  []
[]

[Physics/SolidMechanics/QuasiStatic]
  [action]
    strain = FINITE
    generate_output = 'stress_xx stress_yy stress_zz vonmises_stress hydrostatic_stress strain_xx '
                      'strain_yy strain_zz'
    block = 'plank block'
  []
[]

[Contact]
  [frictionless]
    primary = plank_right
    secondary = block_left
    formulation = mortar
    c_normal = 1e0
  []
[]

[BCs]
  [left_x]
    type = DirichletBC
    variable = disp_x
    preset = false
    boundary = plank_left
    value = 0.0
  []
  [left_y]
    type = DirichletBC
    variable = disp_y
    preset = false
    boundary = plank_bottom
    value = 0.0
  []
  [right_x]
    type = FunctionDirichletBC
    variable = disp_x
    preset = false
    boundary = block_right
    function = '-0.04*sin(4*(t+1.5))+0.02'
  []
  [right_y]
    type = FunctionDirichletBC
    variable = disp_y
    preset = false
    boundary = block_right
    function = '-t'
  []
[]

[Materials]
  [plank]
    type = ComputeIsotropicElasticityTensor
    block = 'plank'
    poissons_ratio = 0.3
    youngs_modulus = ${E_plank}
  []
  [block]
    type = ComputeIsotropicElasticityTensor
    block = 'block'
    poissons_ratio = 0.3
    youngs_modulus = ${E_block}
  []
  [stress]
    type = ComputeFiniteStrainElasticStress
    block = 'plank block'
  []
[]

[Preconditioning]
  [smp]
    type = SMP
    full = true
  []
[]

[Executioner]
  type = Transient
  solve_type = 'PJFNK'
  petsc_options = '-snes_converged_reason -ksp_converged_reason'
  petsc_options_iname = '-pc_type -mat_mffd_err -pc_factor_shift_type -pc_factor_shift_amount'
  petsc_options_value = 'lu       1e-5          NONZERO               1e-15'
  end_time = 13.5
  dt = 0.1
  dtmin = 0.1
  timestep_tolerance = 1e-6
  line_search = 'contact'
[]

[Postprocessors]
  [nl_its]
    type = NumNonlinearIterations
  []
  [total_nl_its]
    type = CumulativeValuePostprocessor
    postprocessor = nl_its
  []
  [l_its]
    type = NumLinearIterations
  []
  [total_l_its]
    type = CumulativeValuePostprocessor
    postprocessor = l_its
  []
  [contact]
    type = ContactDOFSetSize
    variable = frictionless_normal_lm
    subdomain = frictionless_secondary_subdomain
  []
  [avg_hydro]
    type = ElementAverageValue
    variable = hydrostatic_stress
    block = 'block'
  []
  [max_hydro]
    type = ElementExtremeValue
    variable = hydrostatic_stress
    block = 'block'
  []
  [min_hydro]
    type = ElementExtremeValue
    variable = hydrostatic_stress
    block = 'block'
    value_type = min
  []
  [avg_vonmises]
    type = ElementAverageValue
    variable = vonmises_stress
    block = 'block'
  []
  [max_vonmises]
    type = ElementExtremeValue
    variable = vonmises_stress
    block = 'block'
  []
  [min_vonmises]
    type = ElementExtremeValue
    variable = vonmises_stress
    block = 'block'
    value_type = min
  []
[]

[Outputs]
  file_base = ${name}
  [comp]
    type = CSV
    show = 'contact'
  []
  [out]
    type = CSV
    file_base = '${name}_out'
  []
[]

[Debug]
  show_var_residual_norms = true
[]

(modules/contact/test/tests/dual_mortar/dm_mechanical_contact.i)

[GlobalParams]
  displacements = 'disp_x disp_y'
  volumetric_locking_correction = true
[]

[Mesh]
  [left_block]
    type = GeneratedMeshGenerator
    dim = 2
    xmin = -1.05
    xmax = -0.05
    ymin = -1
    ymax = 0
    nx = 4
    ny = 8
    elem_type = QUAD4
  []
  [left_block_sidesets]
    type = RenameBoundaryGenerator
    input = left_block
    old_boundary = '0 1 2 3'
    new_boundary = '10 11 12 13'
  []
  [left_block_id]
    type = SubdomainIDGenerator
    input = left_block_sidesets
    subdomain_id = 1
  []
  [right_block]
    type = GeneratedMeshGenerator
    dim = 2
    xmin = 0
    xmax = 1
    ymin = -1
    ymax = 1
    nx = 4
    ny = 8
    elem_type = QUAD4
  []
  [right_block_sidesets]
    type = RenameBoundaryGenerator
    input = right_block
    old_boundary = '0 1 2 3'
    new_boundary = '20 21 22 23'
  []
  [right_block_id]
    type = SubdomainIDGenerator
    input = right_block_sidesets
    subdomain_id = 2
  []

  [combined_mesh]
    type = MeshCollectionGenerator
    inputs = 'left_block_id right_block_id'
  []
[]

[Physics/SolidMechanics/QuasiStatic]
  [all]
    strain = FINITE
    incremental = true
    add_variables = true
    block = '1 2'
  []
[]

[Functions]
  [horizontal_movement]
    type = PiecewiseLinear
    x ='0 0.5 2'
    y = '0 0.1 0.1'
  []
  [vertical_movement]
    type = PiecewiseLinear
    x ='0 0.5 2'
    y = '0.001 0.001 0.2'
  []
[]

[BCs]
  [push_left_x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 13
    function = horizontal_movement
  []
  [fix_right_x]
    type = DirichletBC
    variable = disp_x
    boundary = 21
    value = 0.0
  []
  [fix_right_y]
    type = DirichletBC
    variable = disp_y
    boundary = 21
    value = 0.0
  []
  [push_left_y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 13
    function = vertical_movement
  []
[]

[Materials]
  [elasticity_tensor_left]
    type = ComputeIsotropicElasticityTensor
    block = 1
    youngs_modulus = 1.0e6
    poissons_ratio = 0.3
  []
  [stress_left]
    type = ComputeFiniteStrainElasticStress
    block = 1
  []

  [elasticity_tensor_right]
    type = ComputeIsotropicElasticityTensor
    block = 2
    youngs_modulus = 1.0e6
    poissons_ratio = 0.3
  []
  [stress_right]
    type = ComputeFiniteStrainElasticStress
    block = 2
  []
[]

[Contact]
  [leftright]
    secondary = '11'
    primary = '23'
    formulation = mortar
    model = frictionless
  []
[]

[Preconditioning]
  [smp]
    type = SMP
    full = true
  []
[]

[Executioner]
  type = Transient
  solve_type = 'NEWTON'

  petsc_options = '-snes_converged_reason -ksp_converged_reason -snes_view'
  petsc_options_iname = '-pc_type -pc_factor_shift_type -pc_factor_shift_amount'
  petsc_options_value = 'lu NONZERO 1e-10'

  dt = 0.2
  dtmin = 0.2
  end_time = 1.0

  l_max_its = 20

  nl_max_its = 8
  nl_rel_tol = 1e-6
  snesmf_reuse_base = false
[]

[Outputs]
  file_base = ./dm_contact_gmesh_out
  [comp]
    type = CSV
    show = 'contact normal_lm avg_disp_x avg_disp_y max_disp_x max_disp_y min_disp_x min_disp_y'
    execute_on = 'FINAL'
  []
[]

[Postprocessors]
  [contact]
    type = ContactDOFSetSize
    variable = leftright_normal_lm
    subdomain = leftright_secondary_subdomain
  []
  [normal_lm]
    type = ElementAverageValue
    variable = leftright_normal_lm
    block = leftright_secondary_subdomain
  []
  [avg_disp_x]
    type = ElementAverageValue
    variable = disp_x
    block = '1 2'
  []
  [avg_disp_y]
    type = ElementAverageValue
    variable = disp_y
    block = '1 2'
  []
  [max_disp_x]
    type = ElementExtremeValue
    variable = disp_x
    block = '1 2'
  []
  [max_disp_y]
    type = ElementExtremeValue
    variable = disp_y
    block = '1 2'
  []
  [min_disp_x]
    type = ElementExtremeValue
    variable = disp_x
    block = '1 2'
    value_type = min
  []
  [min_disp_y]
    type = ElementExtremeValue
    variable = disp_y
    block = '1 2'
    value_type = min
  []
[]

(test/tests/outputs/residual/output_residual_test.i)

[Mesh]
  file = sq-2blk.e
  uniform_refine = 3
[]

[Variables]
  # variable in the whole domain
  [./u]
    order = FIRST
    family = LAGRANGE

    [./InitialCondition]
      type = ConstantIC
      value = 0
    [../]
  [../]

  # subdomain restricted variable
  [./v]
    order = FIRST
    family = LAGRANGE
    block = '1'
  [../]
[]

[Functions]
  [./forcing_fn]
    type = ParsedFunction
    # dudt = 3*t^2*(x^2 + y^2)
    expression = 3*t*t*((x*x)+(y*y))-(4*t*t*t)
  [../]

  [./exact_fn]
    type = ParsedFunction
    expression = t*t*t*((x*x)+(y*y))
  [../]

  [./exact_fn_v]
    type = ParsedFunction
    expression = t+1
  [../]
[]

[Kernels]
  [./ie_u]
    type = TimeDerivative
    variable = u
  [../]

  [./diff_u]
    type = Diffusion
    variable = u
  [../]

  [./ffn_u]
    type = BodyForce
    variable = u
    function = forcing_fn
  [../]


  [./ie_v]
    type = TimeDerivative
    variable = v
  [../]

  [./diff_v]
    type = Diffusion
    variable = v
  [../]

[]

[BCs]
  [./all_u]
    type = FunctionDirichletBC
    variable = u
    boundary = '1 2 3 4'
    function = exact_fn
  [../]

  [./bottom_v]
    type = DirichletBC
    variable = v
    boundary = 5
    value = 0
  [../]

  [./top_v]
    type = FunctionDirichletBC
    variable = v
    boundary = 6
    function = exact_fn_v
  [../]
[]

[Executioner]
  type = Transient
  scheme = 'implicit-euler'

  solve_type = 'PJFNK'

  start_time = 0.0
  num_steps = 5
  dt = 0.1
[]

[Outputs]
  execute_on = 'timestep_end'
  file_base = out
  exodus = true
[]

[Debug]
  show_var_residual = 'u v'
  show_var_residual_norms = true
[]

(modules/xfem/test/tests/nucleation_uo/nucleate_bulkCrack.i)

[GlobalParams]
  displacements = 'disp_x disp_y'
[]

[XFEM]
  geometric_cut_userobjects = 'cut_mesh2'
  qrule = volfrac
  output_cut_plane = true
[]

[Mesh]
[gen]
  type = GeneratedMeshGenerator
  dim = 2
  nx = 10
  ny = 20
  xmin = 0
  xmax = 1.0
  ymin = 0.0
  ymax = 2.0
  elem_type = QUAD4
[]

[]

[DomainIntegral]
  integrals = 'InteractionIntegralKI InteractionIntegralKII'
  displacements = 'disp_x disp_y'
  crack_front_points_provider = cut_mesh2
  2d=true
  number_points_from_provider = 0
  crack_direction_method = CurvedCrackFront
  radius_inner = '0.15'
  radius_outer = '0.45'
  poissons_ratio = 0.0
  youngs_modulus = 207000
  block = 0
  incremental = true
[]

[AuxVariables]
[strength]
  order = CONSTANT
  family = MONOMIAL
[]
[]

[ICs]
[strength]
  type = VolumeWeightedWeibull
  variable = strength
  reference_volume = 1e-2
  weibull_modulus = 1
  median = 5000
[]
[]

[UserObjects]
  [nucleate]
    type = MeshCut2DRankTwoTensorNucleation
    tensor = stress
    scalar_type = MaxPrincipal
    nucleation_threshold = strength
    nucleation_radius = .21
    edge_extension_factor = .1
  []
  [cut_mesh2]
    type = MeshCut2DFractureUserObject
    mesh_file = make_edge_crack_in.e
    k_critical=500000 #Large so that cracks will not grow
    growth_increment = 0.11
    nucleate_uo = nucleate
  []
[]

[Physics/SolidMechanics/QuasiStatic]
  [all]
    strain = FINITE
    planar_formulation = plane_strain
    add_variables = true
    generate_output = 'stress_xx stress_yy vonmises_stress max_principal_stress'
  []
[]

[Functions]
  [bc_pull_top]
    type = ParsedFunction
    expression = 0.0005*t
  []
[]

[BCs]
  [top_edges]
      type = FunctionDirichletBC
      boundary = 'top'
      variable = disp_y
      function = bc_pull_top
  []
  [bottom_x]
    type = DirichletBC
    boundary = bottom
    variable = disp_x
    value = 0.0
  []
  [bottom_y]
    type = DirichletBC
    boundary = bottom
    variable = disp_y
    value = 0.0
  []
[]

[Materials]
  [elasticity_tensor]
    type = ComputeIsotropicElasticityTensor
    youngs_modulus = 207000
    poissons_ratio = 0.0
  []
  [stress]
    type = ComputeFiniteStrainElasticStress
  []
[]

[Executioner]
  type = Transient

  solve_type = 'PJFNK'
  petsc_options_iname = '-ksp_gmres_restart -pc_type -pc_hypre_type -pc_hypre_boomeramg_max_iter'
  petsc_options_value = '201                hypre    boomeramg      8'

  line_search = 'none'

  [./Predictor]
    type = SimplePredictor
    scale = 1.0
  [../]

  l_max_its = 100
  l_tol = 1e-2

  nl_max_its = 15
  nl_rel_tol = 1e-8
  nl_abs_tol = 1e-9

  start_time = 0.0
  dt = 1.0
  end_time = 5
  max_xfem_update = 1
[]

[Outputs]
  csv=true
  execute_on = final
  # exodus=true
  # [xfemcutter]
  #   type=XFEMCutMeshOutput
  #   xfem_cutter_uo=cut_mesh2
  # []
[]

(test/tests/restart/restart_steady_from_transient/transient.i)

# We run a simple problem (5 time steps and save off the solution)
# In part2, we load the solution and solve a steady problem. The test check, that the initial state in part 2 is the same as the last state from part1

[Mesh]
  type = GeneratedMesh
  dim = 2
  xmin = -1
  xmax = 1
  ymin = -1
  ymax = 1
  nx = 20
  ny = 20
  parallel_type = replicated
[]

[Functions]
  [./exact_fn]
    type = ParsedFunction
    expression = t*((x*x)+(y*y))
  [../]

  [./forcing_fn]
    type = ParsedFunction
    expression = -4+(x*x+y*y)
  [../]
[]

[Variables]
  active = 'u'

  [./u]
    order = FIRST
    family = LAGRANGE
  [../]
[]

[Kernels]
  active = 'ie diff ffn'

  [./ie]
    type = TimeDerivative
    variable = u
  [../]

  [./diff]
    type = Diffusion
    variable = u
  [../]

  [./ffn]
    type = BodyForce
    variable = u
    function = forcing_fn
  [../]
[]

[BCs]
  [./all]
    type = FunctionDirichletBC
    variable = u
    boundary = '0 1 2 3'
    function = exact_fn
  [../]
[]

[Executioner]
  type = Transient

  solve_type = 'PJFNK'

  dt = 0.2
  start_time = 0
  num_steps = 5
[]

[Outputs]
  exodus = true
  checkpoint = true
[]

(modules/stochastic_tools/test/tests/actions/parameter_study_action/sub_not_controllable.i)

[Mesh]
  [gmg]
    type = GeneratedMeshGenerator
    dim = 2
    nx = 10
    ny = 10
  []
[]

[Variables]
  [u]
  []
[]

[Kernels]
  [diff]
    type = ADDiffusion
    variable = u
  []
[]

[BCs]
  [left]
    type = FunctionDirichletBC
    variable = u
    boundary = left
    function = 0
  []
  [right]
    type = DirichletBC
    variable = u
    boundary = right
    value = 1
  []
[]

[Postprocessors]
  [average]
    type = AverageNodalVariableValue
    variable = u
  []
[]

[Executioner]
  type = Steady
  solve_type = NEWTON
[]

# This is for testing distributions
p0 = 0
p1 = 0
p2 = 0
p3 = 0
p4 = 0
p5 = 0
p6 = 0
[Reporters]
  [const]
    type = ConstantReporter
    real_names = 'p0 p1 p2 p3 p4 p5 p6'
    real_values = '${p0} ${p1} ${p2} ${p3} ${p4} ${p5} ${p6}'
  []
[]

(modules/navier_stokes/test/tests/finite_element/ins/lid_driven/lid_driven_stabilized.i)

[GlobalParams]
  gravity = '0 0 0'
  laplace = true
  integrate_p_by_parts = true
  family = LAGRANGE
  order = FIRST

  # There are multiple types of stabilization possible in incompressible
  # Navier Stokes. The user can specify supg = true to apply streamline
  # upwind petrov-galerkin stabilization to the momentum equations. This
  # is most useful for high Reynolds numbers, e.g. when inertial effects
  # dominate over viscous effects. The user can also specify pspg = true
  # to apply pressure stabilized petrov-galerkin stabilization to the mass
  # equation. PSPG is a form of Galerkin Least Squares. This stabilization
  # allows equal order interpolations to be used for pressure and velocity.
  # Finally, the alpha parameter controls the amount of stabilization.
  # For PSPG, decreasing alpha leads to increased accuracy but may induce
  # spurious oscillations in the pressure field. Some numerical experiments
  # suggest that alpha between .1 and 1 may be optimal for accuracy and
  # robustness.
  supg = true
  pspg = true
  alpha = 1e-1
[]

[Mesh]
  [gen]
    type = GeneratedMeshGenerator
    dim = 2
    xmin = 0
    xmax = 1.0
    ymin = 0
    ymax = 1.0
    nx = 64
    ny = 64
    elem_type = QUAD4
  []
  [./corner_node]
    type = ExtraNodesetGenerator
    new_boundary = 'pinned_node'
    nodes = '0'
    input = gen
  [../]
[]

[Variables]
  [./vel_x]
  [../]

  [./vel_y]
  [../]

  [./p]
  [../]
[]

[Kernels]
  # mass
  [./mass]
    type = INSMass
    variable = p
    u = vel_x
    v = vel_y
    pressure = p
  [../]

  # x-momentum, space
  [./x_momentum_space]
    type = INSMomentumLaplaceForm
    variable = vel_x
    u = vel_x
    v = vel_y
    pressure = p
    component = 0
  [../]

  # y-momentum, space
  [./y_momentum_space]
    type = INSMomentumLaplaceForm
    variable = vel_y
    u = vel_x
    v = vel_y
    pressure = p
    component = 1
  [../]
[]

[BCs]
  [./x_no_slip]
    type = DirichletBC
    variable = vel_x
    boundary = 'bottom right left'
    value = 0.0
  [../]

  [./lid]
    type = FunctionDirichletBC
    variable = vel_x
    boundary = 'top'
    function = 'lid_function'
  [../]

  [./y_no_slip]
    type = DirichletBC
    variable = vel_y
    boundary = 'bottom right top left'
    value = 0.0
  [../]

  [./pressure_pin]
    type = DirichletBC
    variable = p
    boundary = 'pinned_node'
    value = 0
  [../]
[]

[Materials]
  [./const]
    type = GenericConstantMaterial
    block = 0
    prop_names = 'rho mu'
    prop_values = '1  1'
  [../]
[]

[Functions]
  [./lid_function]
    # We pick a function that is exactly represented in the velocity
    # space so that the Dirichlet conditions are the same regardless
    # of the mesh spacing.
    type = ParsedFunction
    expression = '4*x*(1-x)'
  [../]
[]

[Preconditioning]
  [./SMP]
    type = SMP
    full = true
    solve_type = 'NEWTON'
  [../]
[]

[Executioner]
  type = Steady
  petsc_options_iname = '-pc_type -pc_asm_overlap -sub_pc_type -sub_pc_factor_levels'
  petsc_options_value = 'asm      2               ilu          4'
  line_search = 'none'
  nl_rel_tol = 1e-12
  nl_abs_tol = 1e-13
  nl_max_its = 6
  l_tol = 1e-6
  l_max_its = 500
[]

[Outputs]
  exodus = true
  print_linear_converged_reason = false
  print_nonlinear_converged_reason = false
[]

[Postprocessors]
  [lin]
    type = NumLinearIterations
  []
  [nl]
    type = NumNonlinearIterations
  []
  [lin_tot]
    type = CumulativeValuePostprocessor
    postprocessor = 'lin'
  []
  [nl_tot]
    type = CumulativeValuePostprocessor
    postprocessor = 'nl'
  []
[]

(modules/solid_mechanics/test/tests/crystal_plasticity/user_object_based/save_euler.i)

[Mesh]
  type = GeneratedMesh
  dim = 2
  elem_type = QUAD4
  displacements = 'disp_x disp_y'
  nx = 2
  ny = 2
[]

[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
[]

[GlobalParams]
  volumetric_locking_correction = true
[]

[AuxVariables]
  [./stress_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./e_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./fp_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./gss]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./euler1]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./euler2]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./euler3]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]

[Functions]
  [./tdisp]
    type = ParsedFunction
    expression = 0.01*t
  [../]
[]

[UserObjects]
  [./prop_read]
    type = PropertyReadFile
    prop_file_name = 'euler_ang_file.txt'
    # Enter file data as prop#1, prop#2, .., prop#nprop
    nprop = 3
    read_type = element
  [../]
[]

[AuxKernels]
  [./stress_yy]
    type = RankTwoAux
    variable = stress_yy
    rank_two_tensor = stress
    index_j = 1
    index_i = 1
    execute_on = timestep_end
  [../]
  [./e_yy]
    type = RankTwoAux
    variable = e_yy
    rank_two_tensor = lage
    index_j = 1
    index_i = 1
    execute_on = timestep_end
  [../]
  [./fp_yy]
    type = RankTwoAux
    variable = fp_yy
    rank_two_tensor = fp
    index_j = 1
    index_i = 1
    execute_on = timestep_end
  [../]
  [./gss]
    type = MaterialStdVectorAux
    variable = gss
    property = state_var_gss
    index = 0
    execute_on = timestep_end
  [../]
  [./euler1]
    type = MaterialRealVectorValueAux
    variable = euler1
    property = Euler_angles
    component = 0
    execute_on = timestep_end
  [../]
  [./euler2]
    type = MaterialRealVectorValueAux
    variable = euler2
    property = Euler_angles
    component = 1
    execute_on = timestep_end
  [../]
  [./euler3]
    type = MaterialRealVectorValueAux
    variable = euler3
    property = Euler_angles
    component = 2
    execute_on = timestep_end
  [../]
[]

[BCs]
  [./fix_x]
    type = DirichletBC
    variable = disp_x
    boundary = 'left'
    value = 0
  [../]
  [./fix_y]
    type = DirichletBC
    variable = disp_y
    boundary = 'bottom'
    value = 0
  [../]
  [./tdisp]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = top
    function = tdisp
  [../]
[]

[UserObjects]
  [./slip_rate_gss]
    type = CrystalPlasticitySlipRateGSS
    variable_size = 12
    slip_sys_file_name = input_slip_sys.txt
    num_slip_sys_flowrate_props = 2
    flowprops = '1 4 0.001 0.1 5 8 0.001 0.1 9 12 0.001 0.1'
    uo_state_var_name = state_var_gss
  [../]
  [./slip_resistance_gss]
    type = CrystalPlasticitySlipResistanceGSS
    variable_size = 12
    uo_state_var_name = state_var_gss
  [../]
  [./state_var_gss]
    type = CrystalPlasticityStateVariable
    variable_size = 12
    groups = '0 4 8 12'
    group_values = '60.8 60.8 60.8'
    uo_state_var_evol_rate_comp_name = state_var_evol_rate_comp_gss
    scale_factor = 1.0
  [../]
  [./state_var_evol_rate_comp_gss]
    type = CrystalPlasticityStateVarRateComponentGSS
    variable_size = 12
    hprops = '1.0 541.5 109.8 2.5'
    uo_slip_rate_name = slip_rate_gss
    uo_state_var_name = state_var_gss
  [../]
[]

[Materials]
  [./crysp]
    type = FiniteStrainUObasedCP
    stol = 1e-2
    tan_mod_type = exact
    uo_slip_rates = 'slip_rate_gss'
    uo_slip_resistances = 'slip_resistance_gss'
    uo_state_vars = 'state_var_gss'
    uo_state_var_evol_rate_comps = 'state_var_evol_rate_comp_gss'
  [../]
  [./strain]
    type = ComputeFiniteStrain
    displacements = 'disp_x disp_y'
  [../]
  [./elasticity_tensor]
    type = ComputeElasticityTensorCP
    C_ijkl = '1.684e5 1.214e5 1.214e5 1.684e5 1.214e5 1.684e5 0.754e5 0.754e5 0.754e5'
    fill_method = symmetric9
    read_prop_user_object = prop_read
  [../]
[]

[Postprocessors]
  [./stress_yy]
    type = ElementAverageValue
    variable = stress_yy
  [../]
  [./e_yy]
    type = ElementAverageValue
    variable = e_yy
  [../]
  [./fp_yy]
    type = ElementAverageValue
    variable = fp_yy
  [../]
  [./gss]
    type = ElementAverageValue
    variable = gss
  [../]
[]

[Preconditioning]
  [./smp]
    type = SMP
    full = true
  [../]
[]

[Executioner]
  type = Transient
  dt = 0.01
  solve_type = 'PJFNK'

  petsc_options_iname = -pc_hypre_type
  petsc_options_value = boomerang
  nl_abs_tol = 1e-10
  nl_rel_step_tol = 1e-10
  dtmax = 10.0
  nl_rel_tol = 1e-10
  end_time = 1
  dtmin = 0.01
  num_steps = 10
  nl_abs_step_tol = 1e-10
[]

[Outputs]
  exodus = true
[]

[Kernels]
  [SolidMechanics]
    displacements = 'disp_x disp_y'
    use_displaced_mesh = true
  [../]
[]

(modules/solid_mechanics/test/tests/elem_prop_read_user_object/prop_grain_read.i)

[Mesh]
  type = GeneratedMesh
  dim = 2
  elem_type = QUAD4
  displacements = 'disp_x disp_y'
  nx = 10
  ny = 10
[]

[Variables]
  [./disp_x]
    block = 0
  [../]
  [./disp_y]
    block = 0
  [../]
[]

[GlobalParams]
  volumetric_locking_correction=true
[]

[AuxVariables]
  [./stress_yy]
    order = CONSTANT
    family = MONOMIAL
    block = 0
  [../]
  [./e_yy]
    order = CONSTANT
    family = MONOMIAL
    block = 0
  [../]
[]

[Functions]
  [./tdisp]
    type = ParsedFunction
    expression = 0.05*t
  [../]
[]

[UserObjects]
  [./prop_read]
    type = PropertyReadFile
    prop_file_name = 'input_file.txt'
    # Enter file data as prop#1, prop#2, .., prop#nprop
    nprop = 4
    read_type = voronoi
    nvoronoi = 3
    use_random_voronoi = true
    rand_seed = 25346
    rve_type = periodic
  [../]
[]

[AuxKernels]
  [./stress_yy]
    type = RankTwoAux
    variable = stress_yy
    rank_two_tensor = stress
    index_j = 1
    index_i = 1
    execute_on = timestep_end
    block = 0
  [../]
  [./e_yy]
    type = RankTwoAux
    variable = e_yy
    rank_two_tensor = elastic_strain
    index_j = 1
    index_i = 1
    execute_on = timestep_end
    block = 0
  [../]
[]

[BCs]
  [./fix_x]
    type = DirichletBC
    variable = disp_x
    boundary = 'left'
    value = 0
  [../]
  [./fix_y]
    type = DirichletBC
    variable = disp_y
    boundary = 'bottom'
    value = 0
  [../]
  [./tdisp]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = top
    function = tdisp
  [../]
[]

[Materials]
  [./elasticity_tensor_with_Euler]
    type = ComputeElasticityTensorCP
    block = 0
    C_ijkl = '1.684e5 0.176e5 0.176e5 1.684e5 0.176e5 1.684e5 0.754e5 0.754e5 0.754e5'
    fill_method = symmetric9
    read_prop_user_object = prop_read
  [../]
  [./strain]
    type = ComputeFiniteStrain
    block = 0
    displacements = 'disp_x disp_y'
  [../]
  [./stress]
    type = ComputeFiniteStrainElasticStress
    block = 0
  [../]
[]

[Postprocessors]
  [./stress_yy]
    type = ElementAverageValue
    variable = stress_yy
    block = 'ANY_BLOCK_ID 0'
  [../]
  [./e_yy]
    type = ElementAverageValue
    variable = e_yy
    block = 'ANY_BLOCK_ID 0'
  [../]
[]

[Preconditioning]
  [./smp]
    type = SMP
    full = true
  [../]
[]

[Executioner]
  type = Transient
  dt = 0.05

  #Preconditioned JFNK (default)
  solve_type = 'PJFNK'

  petsc_options_iname = -pc_hypre_type
  petsc_options_value = boomerang
  nl_abs_tol = 1e-10
  nl_rel_step_tol = 1e-10
  dtmax = 10.0
  nl_rel_tol = 1e-10
  end_time = 1
  dtmin = 0.05
  num_steps = 1
  nl_abs_step_tol = 1e-10
[]

[Outputs]
  file_base = prop_grain_read_out
  exodus = true
[]

[Kernels]
  [SolidMechanics]
    displacements = 'disp_x disp_y'
    use_displaced_mesh = true
  [../]
[]

(test/tests/utils/2d_linear_interpolation/xyz_error.i)

[Mesh]
  file = cube.e
  # This problem only has 1 element, so using DistributedMesh in parallel
  # isn't really an option, and we don't care that much about DistributedMesh
  # in serial.
  parallel_type = replicated
[]

[Variables]

  [./u]
    order = FIRST
    family = LAGRANGE
  [../]
[]

[Functions]


  [./u]
    type = PiecewiseBilinear
    #x = '0 1 3' # Testing this error
    y = '0 1 3'
    z = '0 0 0 0 1 3 0 5 7'
    axis = 0
  [../]
[] # End Functions

[Kernels]

  [./diffu]
    type = Diffusion
    variable = u
  [../]
[]

[BCs]

  [./u]
    type = FunctionDirichletBC
    variable = u
    boundary = '1'
    function = u
  [../]
[]

[Executioner]
  type = Transient
  dt = 1
  end_time = 2
  nl_rel_tol = 1e-12
[]

(modules/solid_mechanics/test/tests/hyperelastic_viscoplastic/one_elem_base.i)

[Mesh]
  type = GeneratedMesh
  dim = 3
  elem_type = HEX8
  displacements = 'ux uy uz'
[]

[Variables]
  [./ux]
    block = 0
  [../]
  [./uy]
    block = 0
  [../]
  [./uz]
    block = 0
  [../]
[]

[Kernels]
  [SolidMechanics]
    displacements = 'ux uy uz'
    use_displaced_mesh = true
    base_name = test
  [../]
[]

[AuxVariables]
  [./stress_zz]
    order = CONSTANT
    family = MONOMIAL
    block = 0
  [../]
  [./peeq]
    order = CONSTANT
    family = MONOMIAL
    block = 0
  [../]
  [./fp_zz]
    order = CONSTANT
    family = MONOMIAL
    block = 0
  [../]
[]

[AuxKernels]
  [./stress_zz]
    type = RankTwoAux
    variable = stress_zz
    rank_two_tensor = test_stress
    index_j = 2
    index_i = 2
    execute_on = timestep_end
    block = 0
  [../]
  [./fp_zz]
    type = RankTwoAux
    variable = fp_zz
    rank_two_tensor = test_fp
    index_j = 2
    index_i = 2
    execute_on = timestep_end
    block = 0
  [../]
  [./peeq]
    type = MaterialRealAux
    variable = peeq
    property = ep_eqv
    execute_on = timestep_end
    block = 0
  [../]
[]

[BCs]
  [./symmy]
    type = DirichletBC
    variable = uy
    boundary = bottom
    value = 0
  [../]
  [./symmx]
    type = DirichletBC
    variable = ux
    boundary = left
    value = 0
  [../]
  [./symmz]
    type = DirichletBC
    variable = uz
    boundary = back
    value = 0
  [../]
  [./tdisp]
    type = FunctionDirichletBC
    variable = uz
    boundary = front
    function = '0.01*t'
  [../]
[]

[UserObjects]
  [./flowstress]
    type = HEVPRambergOsgoodHardening
    yield_stress = 100
    hardening_exponent = 0.1
    reference_plastic_strain = 0.002
    intvar_prop_name = ep_eqv
  [../]
  [./flowrate]
    type = HEVPFlowRatePowerLawJ2
    reference_flow_rate = 0.0001
    flow_rate_exponent = 50.0
    flow_rate_tol = 1
    strength_prop_name = flowstress
    base_name = test
  [../]
  [./ep_eqv]
     type = HEVPEqvPlasticStrain
     intvar_rate_prop_name = ep_eqv_rate
  [../]
  [./ep_eqv_rate]
     type = HEVPEqvPlasticStrainRate
     flow_rate_prop_name = flowrate
  [../]
[]

[Materials]
  [./strain]
    type = ComputeFiniteStrain
    block = 0
    displacements = 'ux uy uz'
    base_name = test
  [../]
  [./viscop]
    type = FiniteStrainHyperElasticViscoPlastic
    block = 0
    resid_abs_tol = 1e-18
    resid_rel_tol = 1e-8
    maxiters = 50
    max_substep_iteration = 5
    flow_rate_user_objects = 'flowrate'
    strength_user_objects = 'flowstress'
    internal_var_user_objects = 'ep_eqv'
    internal_var_rate_user_objects = 'ep_eqv_rate'
    base_name = test
  [../]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    block = 0
    C_ijkl = '2.8e5 1.2e5 1.2e5 2.8e5 1.2e5 2.8e5 0.8e5 0.8e5 0.8e5'
    fill_method = symmetric9
    base_name = test
  [../]
[]

[Postprocessors]
  [./stress_zz]
    type = ElementAverageValue
    variable = stress_zz
    block = 'ANY_BLOCK_ID 0'
  [../]
  [./fp_zz]
    type = ElementAverageValue
    variable = fp_zz
    block = 'ANY_BLOCK_ID 0'
  [../]
  [./peeq]
    type = ElementAverageValue
    variable = peeq
    block = 'ANY_BLOCK_ID 0'
  [../]
[]

[Preconditioning]
  [./smp]
    type = SMP
    full = true
  [../]
[]

[Executioner]
  type = Transient
  dt = 0.02
  #Preconditioned JFNK (default)
  solve_type = 'PJFNK'
  petsc_options_iname = -pc_hypre_type
  petsc_options_value = boomerang
  dtmax = 10.0
  nl_rel_tol = 1e-10
  dtmin = 0.02
  num_steps = 10
[]

[Outputs]
  file_base = one_elem_base
  exodus = true
  csv = false
[]

(test/tests/misc/check_error/bad_parsed_function_vars.i)

[Mesh]
  type = GeneratedMesh
  dim = 2
  nx = 2
  ny = 2
  nz = 2
[]

[Variables]
  [./u]
    block = 0
  [../]
[]

[Functions]
  [./sin_func]
    type = ParsedFunction
    expression = sin(y)
    symbol_names = y        # <- This is a bad - you can't specify x, y, z, or t
    symbol_values = 0
  [../]
[]

[Kernels]
  [./diffused]
    type = Diffusion
    variable = u
    block = 0
  [../]
[]

[BCs]
  [./left]
    type = DirichletBC
    variable = u
    boundary = left
    value = 1
  [../]
  [./right]
    type = FunctionDirichletBC
    variable = u
    boundary = right
    function = sin_func
  [../]
[]

[Executioner]
  type = Steady
[]

[Outputs]
  execute_on = 'timestep_end'
[]

(modules/contact/test/tests/hertz_spherical/hertz_contact.i)

# Hertz Contact: Sphere on sphere

# Spheres have the same radius, Young's modulus, and Poisson's ratio.

# Define E:
# 1/E = (1-nu1^2)/E1 + (1-nu2^2)/E2
#
# Effective radius R:
# 1/R = 1/R1 + 1/R2
#
# F is the applied compressive load.
#
# Area of contact a::
# a^3 = 3FR/4E
#
# Depth of indentation d:
# d = a^2/R
#
#
# Let R1 = R2 = 2.  Then R = 1.
#
# Let nu1 = nu2 = 0.25, E1 = E2 = 1.40625e7.  Then E = 7.5e6.
#
# Let F = 10000.  Then a = 0.1, d = 0.01.
#
[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
  volumetric_locking_correction = true
[]

[Mesh]
  file = hertz_contact.e
[] # Mesh

[Functions]
  [pressure]
    type = PiecewiseLinear
    x = '0. 1. 2.'
    y = '0. 1. 1.'
    scale_factor = 795.77471545947674 # 10000/pi/2^2
  []
  [disp_y]
    type = PiecewiseLinear
    x = '0.  1.    2.'
    y = '0. -0.01 -0.01'
  []
[] # Functions

[AuxVariables]
  [vonmises]
    order = CONSTANT
    family = MONOMIAL
  []
  [hydrostatic]
    order = CONSTANT
    family = MONOMIAL
  [] # AuxVariables
[]

[Physics/SolidMechanics/QuasiStatic]
  [all]
    add_variables = true
    strain = SMALL
    generate_output = 'stress_xx stress_yy stress_zz stress_xy stress_yz stress_zx'
  []
[]

[BCs]
  [base_x]
    type = DirichletBC
    variable = disp_x
    boundary = 1000
    value = 0.0
  []
  [base_y]
    type = DirichletBC
    variable = disp_y
    boundary = 1000
    value = 0.0
  []
  [base_z]
    type = DirichletBC
    variable = disp_z
    boundary = 1000
    value = 0.0
  []

  [symm_x]
    type = DirichletBC
    variable = disp_x
    boundary = 1
    value = 0.0
  []
  [symm_z]
    type = DirichletBC
    variable = disp_z
    boundary = 3
    value = 0.0
  []
  [disp_y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 2
    function = disp_y
  [] # BCs
[]

[Contact]
  [dummy_name]
    primary = 1000
    secondary = 100
    normalize_penalty = true
    tangential_tolerance = 1e-3
    penalty = 1e+10
  []
[]

[Materials]
  [tensor]
    type = ComputeIsotropicElasticityTensor
    block = '1'
    youngs_modulus = 1.40625e7
    poissons_ratio = 0.25
  []
  [stress]
    type = ComputeLinearElasticStress
    block = '1'
  []

  [tensor_1000]
    type = ComputeIsotropicElasticityTensor
    block = '1000'
    youngs_modulus = 1e6
    poissons_ratio = 0.0
  []
  [stress_1000]
    type = ComputeLinearElasticStress
    block = '1000'
  [] # Materials
[]

[Preconditioning]
  [SMP]
    type = SMP
    full = true
  []
[]

[Executioner]
  type = Transient

  solve_type = 'PJFNK'
  petsc_options_iname = '-pc_type -pc_factor_mat_solver_type'
  petsc_options_value = 'lu     superlu_dist'
  line_search = 'none'

  nl_abs_tol = 1e-7
  l_max_its = 200
  start_time = 0.0
  dt = 0.5
  end_time = 2.0 # Executioner
[]

[Postprocessors]
  [maxdisp]
    type = NodalVariableValue
    nodeid = 122 # 123-1 where 123 is the exodus node number of the top-center node
    variable = disp_y
  []
[]

[Outputs]
  [out]
    type = Exodus
  [] # Outputs
[]

(test/tests/time_integrators/rk-2/2d-quadratic.i)

[Mesh]
  type = GeneratedMesh
  dim = 2
  xmin = -1
  xmax = 1
  ymin = -1
  ymax = 1
  nx = 20
  ny = 20
  elem_type = QUAD9
[]

[Functions]
  [./ic]
    type = ParsedFunction
    expression = 0
  [../]

  [./forcing_fn]
    type = ParsedFunction
    expression = 2*t*((x*x)+(y*y))-(4*t*t)
  [../]

  [./exact_fn]
    type = ParsedFunction
    expression = t*t*((x*x)+(y*y))
  [../]
[]

[Variables]
  [./u]
    order = SECOND
    family = LAGRANGE

    [./InitialCondition]
      type = FunctionIC
      function = ic
    [../]
  [../]
[]

[Kernels]
  [./ie]
    type = TimeDerivative
    variable = u
    implicit = true
  [../]

  [./diff]
    type = Diffusion
    variable = u
    implicit = false
  [../]

  [./ffn]
    type = BodyForce
    variable = u
    function = forcing_fn
    implicit = false
  [../]
[]

[BCs]
  active = 'all'

  [./all]
    type = FunctionDirichletBC
    variable = u
    boundary = '0 1 2 3'
    function = exact_fn
  [../]
[]

[Postprocessors]
  [./l2_err]
    type = ElementL2Error
    variable = u
    function = exact_fn
  [../]
[]

[Executioner]
  type = Transient

  [./TimeIntegrator]
    type = ExplicitMidpoint
  [../]
  solve_type = 'LINEAR'

  start_time = 0.0
  num_steps = 10
  dt = 0.0001
  l_tol = 1e-8
[]

[Outputs]
  exodus = true
  perf_graph = true
[]

(modules/contact/test/tests/3d-mortar-contact/frictionless-mortar-3d_pg.i)

starting_point = 0.25
offset = 0.00

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
  diffusivity = 1e0
  scaling = 1e0
[]

[Mesh]
  [top_block]
    type = GeneratedMeshGenerator
    dim = 3
    nx = 3
    ny = 3
    nz = 3
    xmin = -0.25
    xmax = 0.25
    ymin = -0.25
    ymax = 0.25
    zmin = -0.25
    zmax = 0.25
    elem_type = HEX8
  []
  [rotate_top_block]
    type = TransformGenerator
    input = top_block
    transform = ROTATE
    vector_value = '0 0 0'
  []
  [top_block_sidesets]
    type = RenameBoundaryGenerator
    input = rotate_top_block
    old_boundary = '0 1 2 3 4 5'
    new_boundary = 'top_bottom top_back top_right top_front top_left top_top'
  []
  [top_block_id]
    type = SubdomainIDGenerator
    input = top_block_sidesets
    subdomain_id = 1
  []
  [bottom_block]
    type = GeneratedMeshGenerator
    dim = 3
    nx = 10
    ny = 10
    nz = 2
    xmin = -.5
    xmax = .5
    ymin = -.5
    ymax = .5
    zmin = -.3
    zmax = -.25
    elem_type = HEX8
  []
  [bottom_block_id]
    type = SubdomainIDGenerator
    input = bottom_block
    subdomain_id = 2
  []
  [bottom_block_change_boundary_id]
    type = RenameBoundaryGenerator
    input = bottom_block_id
    old_boundary = '0 1 2 3 4 5'
    new_boundary = '100 101 102 103 104 105'
  []
  [combined]
    type = MeshCollectionGenerator
    inputs = 'top_block_id bottom_block_change_boundary_id'
  []
  [block_rename]
    type = RenameBlockGenerator
    input = combined
    old_block = '1 2'
    new_block = 'top_block bottom_block'
  []
  [bottom_right_sideset]
    type = SideSetsAroundSubdomainGenerator
    input = block_rename
    new_boundary = bottom_right
    block = bottom_block
    normal = '1 0 0'
  []
  [bottom_left_sideset]
    type = SideSetsAroundSubdomainGenerator
    input = bottom_right_sideset
    new_boundary = bottom_left
    block = bottom_block
    normal = '-1 0 0'
  []
  [bottom_top_sideset]
    type = SideSetsAroundSubdomainGenerator
    input = bottom_left_sideset
    new_boundary = bottom_top
    block = bottom_block
    normal = '0 0 1'
  []
  [bottom_bottom_sideset]
    type = SideSetsAroundSubdomainGenerator
    input = bottom_top_sideset
    new_boundary = bottom_bottom
    block = bottom_block
    normal = '0  0 -1'
  []
  [bottom_front_sideset]
    type = SideSetsAroundSubdomainGenerator
    input = bottom_bottom_sideset
    new_boundary = bottom_front
    block = bottom_block
    normal = '0 1 0'
  []
  [bottom_back_sideset]
    type = SideSetsAroundSubdomainGenerator
    input = bottom_front_sideset
    new_boundary = bottom_back
    block = bottom_block
    normal = '0 -1 0'
  []
  [secondary]
    input = bottom_back_sideset
    type = LowerDBlockFromSidesetGenerator
    sidesets = 'top_bottom' # top_back top_left'
    new_block_id = '10001'
    new_block_name = 'secondary_lower'
  []
  [primary]
    input = secondary
    type = LowerDBlockFromSidesetGenerator
    sidesets = 'bottom_top'
    new_block_id = '10000'
    new_block_name = 'primary_lower'
  []
[]

[Variables]
  [disp_x]
    block = '1 2'
  []
  [disp_y]
    block = '1 2'
  []
  [disp_z]
    block = '1 2'
  []
  [mortar_normal_lm]
    block = 'secondary_lower'
    use_dual = true
  []
[]

[AuxVariables]
  [aux_lm]
    block = 'secondary_lower'
    use_dual = false
  []
[]

[ICs]
  [disp_z]
    block = 1
    variable = disp_z
    value = '${fparse offset}'
    type = ConstantIC
  []
  [disp_x]
    block = 1
    variable = disp_x
    value = 0
    type = ConstantIC
  []
  [disp_y]
    block = 1
    variable = disp_y
    value = 0
    type = ConstantIC
  []
[]

[Kernels]
  [disp_x]
    type = MatDiffusion
    variable = disp_x
  []
  [disp_y]
    type = MatDiffusion
    variable = disp_y
  []
  [disp_z]
    type = MatDiffusion
    variable = disp_z
  []
[]

[UserObjects]
  [weighted_gap_uo]
    type = LMWeightedGapUserObject
    primary_boundary = 'bottom_top'
    secondary_boundary = 'top_bottom'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    lm_variable = mortar_normal_lm
    disp_x = disp_x
    disp_y = disp_y
    disp_z = disp_z
    use_petrov_galerkin = true
    aux_lm = aux_lm
  []
[]

[Constraints]
  [normal_lm]
    type = ComputeWeightedGapLMMechanicalContact
    primary_boundary = 'bottom_top'
    secondary_boundary = 'top_bottom'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    variable = mortar_normal_lm
    disp_x = disp_x
    disp_y = disp_y
    disp_z = disp_z
    use_displaced_mesh = true
    weighted_gap_uo = weighted_gap_uo
  []
  [normal_x]
    type = NormalMortarMechanicalContact
    primary_boundary = 'bottom_top'
    secondary_boundary = 'top_bottom'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    variable = mortar_normal_lm
    secondary_variable = disp_x
    component = x
    use_displaced_mesh = true
    compute_lm_residuals = false
    weighted_gap_uo = weighted_gap_uo
  []
  [normal_y]
    type = NormalMortarMechanicalContact
    primary_boundary = 'bottom_top'
    secondary_boundary = 'top_bottom'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    variable = mortar_normal_lm
    secondary_variable = disp_y
    component = y
    use_displaced_mesh = true
    compute_lm_residuals = false
    weighted_gap_uo = weighted_gap_uo
  []
  [normal_z]
    type = NormalMortarMechanicalContact
    primary_boundary = 'bottom_top'
    secondary_boundary = 'top_bottom'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    variable = mortar_normal_lm
    secondary_variable = disp_z
    component = z
    use_displaced_mesh = true
    compute_lm_residuals = false
    weighted_gap_uo = weighted_gap_uo
  []
[]

[BCs]
  [botx]
    type = DirichletBC
    variable = disp_x
    boundary = 'bottom_left bottom_right bottom_front bottom_back'
    value = 0.0
  []
  [boty]
    type = DirichletBC
    variable = disp_y
    boundary = 'bottom_left bottom_right bottom_front bottom_back'
    value = 0.0
  []
  [botz]
    type = DirichletBC
    variable = disp_z
    boundary = 'bottom_left bottom_right bottom_front bottom_back'
    value = 0.0
  []
  [topx]
    type = DirichletBC
    variable = disp_x
    boundary = 'top_top'
    value = 0.0
  []
  [topy]
    type = DirichletBC
    variable = disp_y
    boundary = 'top_top'
    value = 0.0
  []
  [topz]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'top_top'
    function = '-${starting_point} * sin(2 * pi / 40 * t) + ${offset}'
  []
[]

[Executioner]
  type = Transient
  end_time = 1
  dt = .5
  dtmin = .01
  solve_type = 'PJFNK'
  petsc_options = '-snes_converged_reason -ksp_converged_reason -pc_svd_monitor '
                  '-snes_linesearch_monitor'
  petsc_options_iname = '-pc_type -pc_factor_mat_solver_type -pc_factor_shift_type -pc_factor_shift_amount -mat_mffd_err'
  petsc_options_value = 'lu       superlu_dist                  NONZERO               1e-15                   1e-5'
  l_max_its = 100
  nl_max_its = 30
  nl_abs_tol = 1e-12
  line_search = 'none'
  snesmf_reuse_base = false
[]

[Debug]
  show_var_residual_norms = true
[]

[Outputs]
  csv = true
[]

[Preconditioning]
  [smp]
    type = SMP
    full = true
  []
[]

[Postprocessors]
  [contact]
    type = ContactDOFSetSize
    variable = mortar_normal_lm
    subdomain = 'secondary_lower'
    execute_on = 'nonlinear timestep_end'
  []
  [lambda]
    type = ElementAverageValue
    variable = mortar_normal_lm
    block = 'secondary_lower'
  []
[]

(test/tests/userobjects/internal_side_user_object/internal_side_user_object_two_materials.i)

[Mesh]
  [gen]
  type = GeneratedMeshGenerator
    dim = 2
    xmin = -1
    ymin = -1
    xmax = 1
    ymax = 1
    nx = 2
    ny = 2
    elem_type = QUAD4
  []
  [./subdomain_id]
    input = gen
    type = SubdomainPerElementGenerator
    subdomain_ids = '0 1
                     1 1'
  [../]
[]

[Functions]
  [./fn_exact]
    type = ParsedFunction
    expression = 'x*x+y*y'
  [../]

  [./ffn]
    type = ParsedFunction
    expression = -4
  [../]
[]

[UserObjects]
  [./isuo]
    type = InsideUserObject
    variable = u
    diffusivity = diffusivity
    execute_on = 'initial timestep_end'
  [../]
[]

[Variables]
  [./u]
    family = LAGRANGE
    order = FIRST
  [../]
[]

[Kernels]
  [./diff]
    type = Diffusion
    variable = u
  [../]

  [./ffn]
    type = BodyForce
    variable = u
    function = ffn
  [../]
[]

[BCs]
  [./all]
    type = FunctionDirichletBC
    variable = u
    boundary = '0 1 2 3'
    function = fn_exact
  [../]
[]

[Materials]
  [./stateful1]
    type = StatefulMaterial
    block = 0
    initial_diffusivity = 1
  [../]
  [./stateful2]
    type = StatefulMaterial
    block = 1
    initial_diffusivity = 2
  [../]
[]

[Postprocessors]
  [./value]
    type = InsideValuePPS
    user_object = isuo
  [../]
[]

[Executioner]
  type = Steady
[]

[Outputs]
  exodus = true
[]

(test/tests/mesh/adapt/initial_adaptivity_test.i)

[Mesh]
  type = GeneratedMesh
  dim = 2
  xmin = -1
  xmax = 1
  ymin = -1
  ymax = 1
  nx = 2
  ny = 2
  elem_type = QUAD9
[]

[Functions]
  [./exact_fn]
    type = ParsedFunction
    expression = x*x+y*y
  [../]

  [./ffn]
    type = ParsedFunction
    expression = -4
  [../]
[]

[Variables]
  [./u]
    order = SECOND
    family = LAGRANGE
    [./InitialCondition]
      type = BoundingBoxIC
      x1 = -2
      y1 = -2
      x2 =  0
      y2 =  2
      inside = 1
      outside = 0
    [../]
  [../]
[]

[Kernels]
  [./udiff]
    type = Diffusion
    variable = u
  [../]

  [./forcing_fn]
    type = BodyForce
    variable = u
    function = ffn
  [../]
[]

[BCs]
  [./all]
    type = FunctionDirichletBC
    variable = u
    boundary = '0 1 2 3'
    function = exact_fn
  [../]
[]

[Executioner]
  type = Steady

  solve_type = 'PJFNK'

  [./Adaptivity]
    initial_adaptivity = 5
    refine_fraction = 0.2
    coarsen_fraction = 0.3
    max_h_level = 4
  [../]
[]

[Outputs]
  exodus = true
[]

(modules/contact/test/tests/mortar_dynamics/block-dynamics-action.i)

starting_point = 2e-1
offset = -0.19

[GlobalParams]
  displacements = 'disp_x disp_y'
[]

[Mesh]
  [file]
    type = FileMeshGenerator
    file = long-bottom-block-no-lower-d.e
  []
[]

[Variables]
  [disp_x]
    block = '1 2'
  []
  [disp_y]
    block = '1 2'
  []
[]

[ICs]
  [disp_y]
    block = 2
    variable = disp_y
    value = '${fparse starting_point + offset}'
    type = ConstantIC
  []
[]

[Kernels]
  [DynamicTensorMechanics]
    displacements = 'disp_x disp_y'
    generate_output = 'stress_xx stress_yy'
    strain = FINITE
    block = '1 2'
    stiffness_damping_coefficient = 1.0
    hht_alpha = 0.0
  []
  [inertia_x]
    type = InertialForce
    variable = disp_x
    velocity = vel_x
    acceleration = accel_x
    beta = 0.25
    gamma = 0.5
    alpha = 0
    eta = 0.0
    block = '1 2'
  []
  [inertia_y]
    type = InertialForce
    variable = disp_y
    velocity = vel_y
    acceleration = accel_y
    beta = 0.25
    gamma = 0.5
    alpha = 0
    eta = 0.0
    block = '1 2'
  []
[]

[Materials]
  [elasticity_2]
    type = ComputeIsotropicElasticityTensor
    block = '2'
    youngs_modulus = 1e6
    poissons_ratio = 0.3
  []
  [elasticity_1]
    type = ComputeIsotropicElasticityTensor
    block = '1'
    youngs_modulus = 1e8
    poissons_ratio = 0.3
  []
  [stress]
    type = ComputeFiniteStrainElasticStress
    block = '1 2'
  []
  [strain]
    type = ComputeFiniteStrain
    block = '1 2'
  []
  [density]
    type = GenericConstantMaterial
    block = '1 2'
    prop_names = 'density'
    prop_values = '7750'
  []
[]

[AuxVariables]
  [vel_x]
    block = '1 2'
  []
  [accel_x]
    block = '1 2'
  []
  [vel_y]
    block = '1 2'
  []
  [accel_y]
    block = '1 2'
  []
  [vel_z]
    block = '1 2'
  []
  [accel_z]
    block = '1 2'
  []
[]

[AuxKernels]
  [accel_x]
    type = NewmarkAccelAux
    variable = accel_x
    displacement = disp_x
    velocity = vel_x
    beta = 0.25
    execute_on = 'LINEAR timestep_end'
  []
  [vel_x]
    type = NewmarkVelAux
    variable = vel_x
    acceleration = accel_x
    gamma = 0.5
    execute_on = 'LINEAR timestep_end'
  []
  [accel_y]
    type = NewmarkAccelAux
    variable = accel_y
    displacement = disp_y
    velocity = vel_y
    beta = 0.25
    execute_on = 'LINEAR timestep_end'
  []
  [vel_y]
    type = NewmarkVelAux
    variable = vel_y
    acceleration = accel_y
    gamma = 0.5
    execute_on = 'LINEAR timestep_end'
  []
[]

[Contact]
  [mechanical]
    primary = 20
    secondary = 10
    formulation = mortar
    model = frictionless
    c_normal = 1e4
    capture_tolerance = 1.0e-5
  []
[]

[BCs]
  [botx]
    type = DirichletBC
    variable = disp_x
    boundary = 40
    value = 0.0
  []
  [boty]
    type = DirichletBC
    variable = disp_y
    boundary = 40
    value = 0.0
  []
  [topy]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 30
    function = '${starting_point} * cos(2 * pi / 4 * t) + ${offset}'
  []
  [leftx]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 50
    function = '1e-2 * t'
  []
[]

[Executioner]
  type = Transient
  end_time = 75
  dt = 0.05
  dtmin = .05
  solve_type = 'PJFNK'
  petsc_options = '-snes_converged_reason -ksp_converged_reason -pc_svd_monitor '
                  '-snes_linesearch_monitor -snes_ksp_ew'
  petsc_options_iname = '-pc_type -pc_factor_shift_type -pc_factor_shift_amount -mat_mffd_err '
  petsc_options_value = 'lu       NONZERO               1e-15                   1e-5'
  nl_max_its = 20
  line_search = 'none'
  snesmf_reuse_base = false

  [TimeIntegrator]
    type = NewmarkBeta
    beta = 0.25
    gamma = 0.5
  []
[]

[Debug]
  show_var_residual_norms = true
[]

[Outputs]
  exodus = true
  checkpoint = true
[]

[Preconditioning]
  [smp]
    type = SMP
    full = true
  []
[]

[Postprocessors]
  active = ''
  [num_nl]
    type = NumNonlinearIterations
  []
  [cumulative]
    type = CumulativeValuePostprocessor
    postprocessor = num_nl
  []
[]

(modules/combined/test/tests/power_law_hardening/PowerLawHardening.i)

# This is a test of the isotropic power law hardening constitutive model.
# In this problem, a single Hex 8 element is fixed at the bottom and pulled at the top
# at a constant rate of 0.1.
# Before yield, stress = strain (=0.1*t) as youngs modulus is 1.0.
# The yield stress for this problem is 0.25 ( as strength coefficient is 0.5 and strain rate exponent is 0.5).
# Therefore, the material should start yielding at t = 2.5 seconds and then follow stress = K *pow(strain,n) or
# stress ~ 0.5*pow(0.1*t,0.5).
#
# This tensor mechanics version of the power law hardening plasticity model matches
# the solid mechanics version for this toy problem under exodiff limits

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
  volumetric_locking_correction = true
[]

[Mesh]
  type = GeneratedMesh
  dim = 3
[]

[AuxVariables]
  [./total_strain_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]

[Functions]
  [./top_pull]
    type = ParsedFunction
    expression = t*(0.1)
  [../]
[]

[Physics/SolidMechanics/QuasiStatic]
  [./all]
    add_variables = true
    strain = SMALL
    incremental = true
    generate_output = 'stress_yy'
  []
[]

[AuxKernels]
  [./total_strain_yy]
    type = RankTwoAux
    rank_two_tensor = total_strain
    variable = total_strain_yy
    index_i = 1
    index_j = 1
  [../]
 []

[BCs]
  [./y_pull_function]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = top
    function = top_pull
  [../]
  [./x_bot]
    type = DirichletBC
    variable = disp_x
    boundary = left
    value = 0.0
  [../]
  [./y_bot]
    type = DirichletBC
    variable = disp_y
    boundary = bottom
    value = 0.0
  [../]
  [./z_bot]
    type = DirichletBC
    variable = disp_z
    boundary = back
    value = 0.0
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeIsotropicElasticityTensor
    youngs_modulus = 1.0
    poissons_ratio = 0.3
  [../]
  [./power_law_hardening]
    type = IsotropicPowerLawHardeningStressUpdate
    strength_coefficient = 0.5 #K
    strain_hardening_exponent = 0.5 #n
  [../]
  [./radial_return_stress]
    type = ComputeMultipleInelasticStress
    inelastic_models = 'power_law_hardening'
    tangent_operator = elastic
  [../]
[]

[Executioner]
  type = Transient
  solve_type = 'PJFNK'

  petsc_options = '-ksp_snes_ew'
  petsc_options_iname = '-ksp_gmres_restart -pc_type -pc_hypre_type -pc_hypre_boomeramg_max_iter'
  petsc_options_value = '201                hypre    boomeramg      4'

  line_search = 'none'

  l_max_its = 100
  nl_max_its = 100
  nl_rel_tol = 1e-12
  nl_abs_tol = 1e-10
  l_tol = 1e-9

  start_time = 0.0
  end_time = 5.0
  dt = 0.25
[]

[Postprocessors]
  [./stress_yy]
    type = ElementAverageValue
    variable = stress_yy
  [../]
  [./strain_yy]
    type = ElementAverageValue
    variable = total_strain_yy
  [../]
[]

[Outputs]
  [./out]
    type = Exodus
    elemental_as_nodal = true
  [../]
[]

(modules/navier_stokes/test/tests/finite_element/ins/velocity_channel/traction-supg.i)

# This input file tests outflow boundary conditions for the incompressible NS equations.

[GlobalParams]
  gravity = '0 0 0'
  integrate_p_by_parts = true
  supg = true
  preset = false
  laplace = false
[]

[Mesh]
  type = GeneratedMesh
  dim = 2
  xmin = 0
  xmax = 3.0
  ymin = 0
  ymax = 1.0
  nx = 30
  ny = 10
  elem_type = QUAD9
[]


[Variables]
  [vel_x]
    order = SECOND
    family = LAGRANGE
  []
  [vel_y]
    order = SECOND
    family = LAGRANGE
  []
  [p]
    order = FIRST
    family = LAGRANGE
  []
[]

[Kernels]
  [mass]
    type = INSMass
    variable = p
    u = vel_x
    v = vel_y
    pressure = p
  []
  [x_momentum_space]
    type = INSMomentumTractionForm
    variable = vel_x
    u = vel_x
    v = vel_y
    pressure = p
    component = 0
  []
  [y_momentum_space]
    type = INSMomentumTractionForm
    variable = vel_y
    u = vel_x
    v = vel_y
    pressure = p
    component = 1
  []
[]

[BCs]
  [x_no_slip]
    type = DirichletBC
    variable = vel_x
    boundary = 'top bottom'
    value = 0.0
  []
  [y_no_slip]
    type = DirichletBC
    variable = vel_y
    boundary = 'left top bottom'
    value = 0.0
  []
  [x_inlet]
    type = FunctionDirichletBC
    variable = vel_x
    boundary = 'left'
    function = 'inlet_func'
  []
[]

[Materials]
  [const]
    type = GenericConstantMaterial
    block = 0
    prop_names = 'rho mu'
    prop_values = '1  1'
  []
[]

[Preconditioning]
  [SMP]
    type = SMP
    full = true
    solve_type = NEWTON
  []
[]

[Executioner]
  type = Steady
  petsc_options_iname = '-pc_type -pc_factor_shift_type'
  petsc_options_value = 'lu       NONZERO'
  line_search = none
  nl_rel_tol = 1e-12
[]

[Outputs]
  [out]
    type = Exodus
  []
[]

[Functions]
  [inlet_func]
    type = ParsedFunction
    expression = '-4 * (y - 0.5)^2 + 1'
  []
[]

(modules/contact/test/tests/mortar_dynamics/frictional-mortar-3d-dynamics.i)

starting_point = 0.25
offset = 0.00

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
  volumetric_locking_correction = true
[]

[AuxVariables]
  [mortar_tangent_x]
    family = LAGRANGE
    order = FIRST
  []
  [mortar_tangent_y]
    family = LAGRANGE
    order = FIRST
  []
  [mortar_tangent_z]
    family = LAGRANGE
    order = FIRST
  []
[]

[AuxKernels]
  [friction_x_component]
   type = MortarFrictionalPressureVectorAux
   primary_boundary = 'bottom_top'
   secondary_boundary = 'top_bottom'
   tangent_one = mortar_tangential_lm
   tangent_two = mortar_tangential_3d_lm
   variable = mortar_tangent_x
   component = 0
   boundary = 'top_bottom'
  []
  [friction_y_component]
   type = MortarFrictionalPressureVectorAux
   primary_boundary = 'bottom_top'
   secondary_boundary = 'top_bottom'
   tangent_one = mortar_tangential_lm
   tangent_two = mortar_tangential_3d_lm
   variable = mortar_tangent_y
   component = 1
   boundary = 'top_bottom'
  []
  [friction_z_component]
   type = MortarFrictionalPressureVectorAux
   primary_boundary = 'bottom_top'
   secondary_boundary = 'top_bottom'
   tangent_one = mortar_tangential_lm
   tangent_two = mortar_tangential_3d_lm
   variable = mortar_tangent_z
   component = 2
   boundary = 'top_bottom'
  []
[]

[Mesh]
  [top_block]
    type = GeneratedMeshGenerator
    dim = 3
    nx = 3
    ny = 3
    nz = 3
    xmin = -0.25
    xmax = 0.25
    ymin = -0.25
    ymax = 0.25
    zmin = -0.25
    zmax = 0.25
    elem_type = HEX8
  []
  [rotate_top_block]
    type = TransformGenerator
    input = top_block
    transform = ROTATE
    vector_value = '0 0 0'
  []
  [top_block_sidesets]
    type = RenameBoundaryGenerator
    input = rotate_top_block
    old_boundary = '0 1 2 3 4 5'
    new_boundary = 'top_bottom top_back top_right top_front top_left top_top'
  []
  [top_block_id]
    type = SubdomainIDGenerator
    input = top_block_sidesets
    subdomain_id = 1
  []
  [bottom_block]
    type = GeneratedMeshGenerator
    dim = 3
    nx = 10
    ny = 10
    nz = 2
    xmin = -.5
    xmax = .5
    ymin = -.5
    ymax = .5
    zmin = -.3
    zmax = -.25
    elem_type = HEX8
  []
  [bottom_block_id]
    type = SubdomainIDGenerator
    input = bottom_block
    subdomain_id = 2
  []
  [bottom_block_change_boundary_id]
    type = RenameBoundaryGenerator
    input = bottom_block_id
    old_boundary = '0 1 2 3 4 5'
    new_boundary = '100 101 102 103 104 105'
  []
  [combined]
    type = MeshCollectionGenerator
    inputs = 'top_block_id bottom_block_change_boundary_id'
  []
  [block_rename]
    type = RenameBlockGenerator
    input = combined
    old_block = '1 2'
    new_block = 'top_block bottom_block'
  []
  [bottom_right_sideset]
    type = SideSetsAroundSubdomainGenerator
    input = block_rename
    new_boundary = bottom_right
    block = bottom_block
    normal = '1 0 0'
  []
  [bottom_left_sideset]
    type = SideSetsAroundSubdomainGenerator
    input = bottom_right_sideset
    new_boundary = bottom_left
    block = bottom_block
    normal = '-1 0 0'
  []
  [bottom_top_sideset]
    type = SideSetsAroundSubdomainGenerator
    input = bottom_left_sideset
    new_boundary = bottom_top
    block = bottom_block
    normal = '0 0 1'
  []
  [bottom_bottom_sideset]
    type = SideSetsAroundSubdomainGenerator
    input = bottom_top_sideset
    new_boundary = bottom_bottom
    block = bottom_block
    normal = '0  0 -1'
  []
  [bottom_front_sideset]
    type = SideSetsAroundSubdomainGenerator
    input = bottom_bottom_sideset
    new_boundary = bottom_front
    block = bottom_block
    normal = '0 1 0'
  []
  [bottom_back_sideset]
    type = SideSetsAroundSubdomainGenerator
    input = bottom_front_sideset
    new_boundary = bottom_back
    block = bottom_block
    normal = '0 -1 0'
  []
  [secondary]
    input = bottom_back_sideset
    type = LowerDBlockFromSidesetGenerator
    sidesets = 'top_bottom' # top_back top_left'
    new_block_id = '10001'
    new_block_name = 'secondary_lower'
  []
  [primary]
    input = secondary
    type = LowerDBlockFromSidesetGenerator
    sidesets = 'bottom_top'
    new_block_id = '10000'
    new_block_name = 'primary_lower'
  []
  uniform_refine = 0
  allow_renumbering = false
[]

[Variables]
  [mortar_normal_lm]
    block = 'secondary_lower'
    use_dual = true
  []
  [mortar_tangential_lm]
    block = 'secondary_lower'
    use_dual = true
  []
  [mortar_tangential_3d_lm]
    block = 'secondary_lower'
    use_dual = true
  []
[]

[Physics/SolidMechanics/Dynamic]
  [all]
    add_variables = true
    hht_alpha = 0.0
    newmark_beta = 0.25
    newmark_gamma = 0.5
    mass_damping_coefficient = 0.0
    stiffness_damping_coefficient = 0.1
    displacements = 'disp_x disp_y disp_z'
    generate_output = 'stress_xx stress_xy stress_xz stress_yy stress_zz'
    block = '1 2'
    strain = FINITE
    density = density
  []
[]

[Materials]
  [density]
    type = GenericConstantMaterial
    block = '1 2'
    prop_names = 'density'
    prop_values = '1.0'
  []
  [tensor]
    type = ComputeIsotropicElasticityTensor
    block = '1'
    youngs_modulus = 1.0e4
    poissons_ratio = 0.0
  []
  [stress]
    type = ComputeFiniteStrainElasticStress
    block = '1'
  []

  [tensor_1000]
    type = ComputeIsotropicElasticityTensor
    block = '2'
    youngs_modulus = 1e5
    poissons_ratio = 0.0
  []
  [stress_1000]
    type = ComputeFiniteStrainElasticStress
    block = '2'
  []
[]

[UserObjects]
  [weighted_vel_uo]
    type = LMWeightedVelocitiesUserObject
    primary_boundary = 20
    secondary_boundary = 10
    primary_subdomain = 4
    secondary_subdomain = 3
    lm_variable_normal = mortar_normal_lm
    lm_variable_tangential_one = mortar_tangential_lm
    lm_variable_tangential_two = mortar_tangential_3d_lm
    secondary_variable = disp_x
    disp_x = disp_x
    disp_y = disp_y
  []
[]

[Constraints]
  [friction]
    type = ComputeDynamicFrictionalForceLMMechanicalContact
    primary_boundary = 'bottom_top'
    secondary_boundary = 'top_bottom'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    variable = mortar_normal_lm
    disp_x = disp_x
    disp_y = disp_y
    disp_z = disp_z
    use_displaced_mesh = true
    friction_lm = mortar_tangential_lm
    friction_lm_dir = mortar_tangential_3d_lm
    mu = 0.4
    c = 1e4
    c_t = 1.0e4
    newmark_gamma = 0.5
    newmark_beta = 0.25
  []
  [normal_x]
    type = NormalMortarMechanicalContact
    primary_boundary = 'bottom_top'
    secondary_boundary = 'top_bottom'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    variable = mortar_normal_lm
    secondary_variable = disp_x
    component = x
    use_displaced_mesh = true
    compute_lm_residuals = false
    weighted_gap_uo = weighted_vel_uo
  []
  [normal_y]
    type = NormalMortarMechanicalContact
    primary_boundary = 'bottom_top'
    secondary_boundary = 'top_bottom'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    variable = mortar_normal_lm
    secondary_variable = disp_y
    component = y
    use_displaced_mesh = true
    compute_lm_residuals = false
    weighted_gap_uo = weighted_vel_uo
  []
  [normal_z]
    type = NormalMortarMechanicalContact
    primary_boundary = 'bottom_top'
    secondary_boundary = 'top_bottom'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    variable = mortar_normal_lm
    secondary_variable = disp_z
    component = z
    use_displaced_mesh = true
    compute_lm_residuals = false
    weighted_gap_uo = weighted_vel_uo
  []
  [tangential_x]
    type = TangentialMortarMechanicalContact
    primary_boundary = 'bottom_top'
    secondary_boundary = 'top_bottom'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    variable = mortar_tangential_lm
    secondary_variable = disp_x
    component = x
    use_displaced_mesh = true
    compute_lm_residuals = false
    weighted_velocities_uo = weighted_vel_uo
  []
  [tangential_y]
    type = TangentialMortarMechanicalContact
    primary_boundary = 'bottom_top'
    secondary_boundary = 'top_bottom'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    variable = mortar_tangential_lm
    secondary_variable = disp_y
    component = y
    use_displaced_mesh = true
    compute_lm_residuals = false
    weighted_velocities_uo = weighted_vel_uo
  []
  [tangential_z]
    type = TangentialMortarMechanicalContact
    primary_boundary = 'bottom_top'
    secondary_boundary = 'top_bottom'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    variable = mortar_tangential_lm
    secondary_variable = disp_z
    component = z
    use_displaced_mesh = true
    compute_lm_residuals = false
    weighted_velocities_uo = weighted_vel_uo
  []
  [tangential_dir_x]
    type = TangentialMortarMechanicalContact
    primary_boundary = 'bottom_top'
    secondary_boundary = 'top_bottom'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    variable = mortar_tangential_3d_lm
    secondary_variable = disp_x
    component = x
    direction = direction_2
    use_displaced_mesh = true
    compute_lm_residuals = false
    weighted_velocities_uo = weighted_vel_uo
  []
  [tangential_dir_y]
    type = TangentialMortarMechanicalContact
    primary_boundary = 'bottom_top'
    secondary_boundary = 'top_bottom'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    variable = mortar_tangential_3d_lm
    secondary_variable = disp_y
    component = y
    direction = direction_2
    use_displaced_mesh = true
    compute_lm_residuals = false
    weighted_velocities_uo = weighted_vel_uo
  []
  [tangential_dir_z]
    type = TangentialMortarMechanicalContact
    primary_boundary = 'bottom_top'
    secondary_boundary = 'top_bottom'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    variable = mortar_tangential_3d_lm
    secondary_variable = disp_z
    component = z
    direction = direction_2
    use_displaced_mesh = true
    compute_lm_residuals = false
    weighted_velocities_uo = weighted_vel_uo
  []
[]

[BCs]
  [botx]
    type = DirichletBC
    variable = disp_x
    boundary = 'bottom_left bottom_right bottom_front bottom_back'
    value = 0.0
  []
  [boty]
    type = DirichletBC
    variable = disp_y
    boundary = 'bottom_left bottom_right bottom_front bottom_back'
    value = 0.0
  []
  [botz]
    type = DirichletBC
    variable = disp_z
    boundary = 'bottom_left bottom_right bottom_front bottom_back'
    value = 0.0
  []
  [topx]
    type = DirichletBC
    variable = disp_x
    boundary = 'top_top'
    value = 0.0
  []
  [topy]
    type = DirichletBC
    variable = disp_y
    boundary = 'top_top'
    value = 0.0
  []
  [topz]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'top_top'
    function = '-${starting_point} * sin(2 * pi / 40 * t) + ${offset}'
  []
[]

[Executioner]
  type = Transient
  end_time = .025
  dt = .025
  dtmin = .001
  solve_type = 'PJFNK'
  petsc_options = '-snes_converged_reason -ksp_converged_reason -snes_ksp_ew'
  petsc_options_iname = '-pc_type -pc_factor_shift_type -pc_factor_shift_amount'
  petsc_options_value = 'lu       NONZERO               1e-14'
  nl_rel_tol = 1e-11
  nl_abs_tol = 1e-11
  line_search = 'basic'
  [TimeIntegrator]
    type = NewmarkBeta
    gamma = 0.5
    beta = 0.25
  []
[]

[Debug]
  show_var_residual_norms = true
[]

[Outputs]
  exodus = true
  csv = true
[]

[Preconditioning]
  [smp]
    type = SMP
    full = true
  []
[]

[Postprocessors]
  active = 'contact'
  [contact]
    type = ContactDOFSetSize
    variable = mortar_normal_lm
    subdomain = 'secondary_lower'
    execute_on = 'nonlinear timestep_end'
  []
[]

[VectorPostprocessors]
  [contact-pressure]
    type = NodalValueSampler
    block = secondary_lower
    variable = mortar_normal_lm
    sort_by = 'id'
    execute_on = NONLINEAR
  []
  [frictional-pressure]
    type = NodalValueSampler
    block = secondary_lower
    variable = mortar_tangential_lm
    sort_by = 'id'
    execute_on = TIMESTEP_END
  []
  [frictional-pressure-3d]
    type = NodalValueSampler
    block = secondary_lower
    variable = mortar_tangential_3d_lm
    sort_by = 'id'
    execute_on = TIMESTEP_END
  []
  [tangent_x]
    type = NodalValueSampler
    block = secondary_lower
    variable = mortar_tangent_x
    sort_by = 'id'
    execute_on = TIMESTEP_END
  []
  [tangent_y]
    type = NodalValueSampler
    block = secondary_lower
    variable = mortar_tangent_y
    sort_by = 'id'
    execute_on = TIMESTEP_END
  []
[]

(modules/solid_mechanics/test/tests/capped_drucker_prager/random.i)

# capped drucker-prager
# apply many random large deformations, checking that the algorithm returns correctly to
# the yield surface each time.


[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1000
  ny = 125
  nz = 1
  xmin = 0
  xmax = 1000
  ymin = 0
  ymax = 125
  zmin = 0
  zmax = 1
[]
[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]

[Physics/SolidMechanics/QuasiStatic]
  [./all]
    add_variables = true
    incremental = true
    strain = finite
  [../]
[]

[ICs]
  [./x]
    type = RandomIC
    min = -0.1
    max = 0.1
    variable = disp_x
  [../]
  [./y]
    type = RandomIC
    min = -0.1
    max = 0.1
    variable = disp_y
  [../]
  [./z]
    type = RandomIC
    min = -0.1
    max = 0.1
    variable = disp_z
  [../]
[]

[BCs]
  [./x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'front back'
    function = '0'
  [../]
  [./y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'front back'
    function = '0'
  [../]
  [./z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'front back'
    function = '0'
  [../]
[]

[AuxVariables]
  [./shear_yield_fcn]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./tensile_yield_fcn]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./compressive_yield_fcn]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./iter]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]

[AuxKernels]
  [./shear_yield_fcn_auxk]
    type = MaterialStdVectorAux
    index = 0
    property = plastic_yield_function
    variable = shear_yield_fcn
  [../]
  [./tensile_fcn_auxk]
    type = MaterialStdVectorAux
    index = 1
    property = plastic_yield_function
    variable = tensile_yield_fcn
  [../]
  [./compressive_yield_fcn_auxk]
    type = MaterialStdVectorAux
    index = 2
    property = plastic_yield_function
    variable = compressive_yield_fcn
  [../]
  [./iter]
    type = MaterialRealAux
    property = plastic_NR_iterations
    variable = iter
  [../]
[]

[Postprocessors]
  [./shear_max]
    type = ElementExtremeValue
    variable = shear_yield_fcn
    outputs = 'console'
  [../]
  [./tensile_max]
    type = ElementExtremeValue
    variable = tensile_yield_fcn
    outputs = 'console'
  [../]
  [./compressive_max]
    type = ElementExtremeValue
    variable = compressive_yield_fcn
    outputs = 'console'
  [../]
  [./should_be_zero_shear]
    type = FunctionValuePostprocessor
    function = shear_should_be_zero_fcn
  [../]
  [./should_be_zero_compressive]
    type = FunctionValuePostprocessor
    function = compressive_should_be_zero_fcn
  [../]
  [./should_be_zero_tensile]
    type = FunctionValuePostprocessor
    function = tensile_should_be_zero_fcn
  [../]
  [./av_iter]
    type = ElementAverageValue
    variable = iter
    outputs = 'console'
  [../]
[]

[Functions]
  [./shear_should_be_zero_fcn]
    type = ParsedFunction
    expression = 'if(a<1E-3,0,a)'
    symbol_names = 'a'
    symbol_values = 'shear_max'
  [../]
  [./tensile_should_be_zero_fcn]
    type = ParsedFunction
    expression = 'if(a<1E-3,0,a)'
    symbol_names = 'a'
    symbol_values = 'tensile_max'
  [../]
  [./compressive_should_be_zero_fcn]
    type = ParsedFunction
    expression = 'if(a<1E-3,0,a)'
    symbol_names = 'a'
    symbol_values = 'compressive_max'
  [../]
[]

[UserObjects]
  [./ts]
    type = SolidMechanicsHardeningConstant
    value = 1000
  [../]
  [./cs]
    type = SolidMechanicsHardeningConstant
    value = 1000
  [../]
  [./mc_coh]
    type = SolidMechanicsHardeningConstant
    value = 1E3
  [../]
  [./mc_phi]
    type = SolidMechanicsHardeningConstant
    value = 30
    convert_to_radians = true
  [../]
  [./mc_psi]
    type = SolidMechanicsHardeningConstant
    value = 5
    convert_to_radians = true
  [../]
  [./dp]
    type = SolidMechanicsPlasticDruckerPrager
    mc_cohesion = mc_coh
    mc_friction_angle = mc_phi
    mc_dilation_angle = mc_psi
    yield_function_tolerance = 1      # irrelevant here
    internal_constraint_tolerance = 1 # irrelevant here
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    block = 0
    fill_method = symmetric_isotropic
    C_ijkl = '0.7E7 1E7'
  [../]
  [./admissible]
    type = ComputeMultipleInelasticStress
    inelastic_models = dp
    perform_finite_strain_rotations = false
  [../]
  [./dp]
    type = CappedDruckerPragerStressUpdate
    DP_model = dp
    tensile_strength = ts
    compressive_strength = cs
    yield_function_tol = 1E-3
    tip_smoother = 0.1E3
    smoothing_tol = 0.1E3
    max_NR_iterations = 1000
    small_dilation = false
  [../]
[]


[Executioner]
  end_time = 1
  dt = 1
  type = Transient
[]


[Outputs]
  file_base = random
  exodus = false
  [./csv]
    type = CSV
  [../]
[]

(modules/solid_mechanics/test/tests/uel/small_test_umat_states_fields_gradient.i)

[GlobalParams]
  displacements = 'disp_x disp_y'
[]

[Mesh]
  [gen]
    type = GeneratedMeshGenerator
    dim = 2
    nx = 20
    ny = 10
    xmax = 10
    ymax = 3
    elem_type = TRI3
  []
  [pin]
    type = ExtraNodesetGenerator
    nodes = 106
    new_boundary = pin
    input = gen
  []
  displacements = 'disp_x disp_y'
[]

[AuxVariables]
  [temperature]
    initial_condition = 400
  []
  [voltage]
    initial_condition = 210
  []
[]

[AuxKernels]
  [temperature]
    type = FunctionAux
    function = '25* x + 40 * y + 400'
    variable = temperature
  []
  [voltage]
    type = FunctionAux
    function = '10 * x + 4 * y + 210'
    variable = voltage
  []
[]

[BCs]
  [left_x]
    type = DirichletBC
    variable = disp_x
    boundary = left
    value = 0
  []
  [left_y]
    type = DirichletBC
    variable = disp_y
    boundary = pin
    value = 0
  []

  inactive = 'right_dirichlet'
  [right_neumann]
    type = FunctionNeumannBC
    variable = disp_x
    function = t/10
    boundary = right
  []
  [right_dirichlet]
    type = FunctionDirichletBC
    variable = disp_x
    function = t/10
    boundary = right
  []
[]

[Physics/SolidMechanics/QuasiStatic]
  [all]
    add_variables = true
    strain = SMALL
    incremental = true
    extra_vector_tags = 'kernel_residual'
  []
[]

[Materials]
  [umat]
    type = AbaqusUMATStress
    constant_properties = '100 0.3'
    plugin = '../../plugins/small_elastic_tri_states'
    num_state_vars = 2
    use_one_based_indexing = true
    temperature = 'temperature'
    external_fields = 'voltage'
  []
[]

[Problem]
  kernel_coverage_check = false
  extra_tag_vectors = 'kernel_residual'
[]

[AuxVariables]
  [res_x]
  []
  [res_y]
  []
[]

[AuxKernels]
  [res_x]
    type = TagVectorAux
    variable = res_x
    v = disp_x
    vector_tag = kernel_residual
  []
  [res_y]
    type = TagVectorAux
    variable = res_y
    v = disp_y
    vector_tag = kernel_residual
  []
[]

[Executioner]
  type = Transient
  solve_type = NEWTON
  petsc_options_iname = '-pc_type'
  petsc_options_value = 'lu'
  dt = 1
  num_steps = 15
  [Quadrature]
   type = GAUSS
   order = CONSTANT
  []
[]

[Postprocessors]
  [delta_l]
    type = SideAverageValue
    variable = disp_x
    boundary = right
    execute_on = 'INITIAL TIMESTEP_END'
  []
  [V]
    type = ElementIntegralMaterialProperty
    mat_prop = 1
    use_displaced_mesh = true
    execute_on = 'INITIAL TIMESTEP_END'
  []
[]

[Outputs]
  exodus = true
  csv = true
[]

(test/tests/variables/fe_monomial_const/monomial-const-1d.i)

[Mesh]
  type = GeneratedMesh
  dim = 1
  xmin = -1
  xmax = 1
  nx = 100
  elem_type = EDGE3
[]

[Functions]
  [./bc_fn]
    type=ParsedFunction
    expression=0
  [../]

  [./forcing_fn]
    type = MTPiecewiseConst1D
  [../]

  [./solution]
    type = MTPiecewiseConst1D
  [../]
[]

[Variables]
  [./u]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]

[Kernels]
  active = 'diff forcing reaction'
  [./diff]
    type = Diffusion
    variable = u
  [../]

  [./reaction]
    type = Reaction
    variable = u
  [../]

  [./forcing]
    type = BodyForce
    variable = u
    function = forcing_fn
  [../]
[]

[BCs]
  # Note: MOOSE's DirichletBCs do not work properly with shape functions that do not
  #       have DOFs at the element edges.  This test works because the solution
  #       has been designed to be zero at the boundary which is satisfied by the IC
  #       Ticket #1352
  active = ''
  [./bc_all]
    type=FunctionDirichletBC
    variable = u
    boundary = 'left right'
    function = bc_fn
  [../]
[]

[Postprocessors]
  [./dofs]
    type = NumDOFs
  [../]

  [./h]
    type = AverageElementSize
  [../]

  [./L2error]
    type = ElementL2Error
    variable = u
    function = solution
  [../]
  [./H1error]
    type = ElementH1Error
    variable = u
    function = solution
  [../]
  [./H1Semierror]
    type = ElementH1SemiError
    variable = u
    function = solution
  [../]
[]

[Executioner]
  type = Steady

  solve_type = 'PJFNK'
  nl_rel_tol = 1.e-9
  [./Adaptivity]

  [../]
[]

[Outputs]
  execute_on = 'timestep_end'
  [./out]
    type = Exodus
    elemental_as_nodal = true
  [../]
[]

(modules/solid_mechanics/test/tests/tensile/small_deform1_update_version.i)

# Using TensileStressUpdate
# checking for small deformation
# A single element is stretched by 1E-6m in z direction, and by small amounts in x and y directions
# stress_zz = Youngs Modulus*Strain = 2E6*1E-6 = 2 Pa
# tensile_strength is set to 1Pa
# Then the final stress should return to the yeild surface and the maximum principal stress value should be 1pa.

[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]

  [GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]

[Physics/SolidMechanics/QuasiStatic]
  [./all]
    add_variables = true
    incremental = true
    strain = finite
    generate_output = 'stress_xx stress_xy stress_xz stress_yy stress_yz stress_zz'
  [../]
[]

[BCs]
  [./x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'front back'
    function = '0.1E-6*x'
  [../]
  [./y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'front back'
    function = '0.2E-6*y'
  [../]
  [./z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'front back'
    function = '1E-6*z'
  [../]
[]

[AuxVariables]
  [./yield_fcn]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]

[AuxKernels]
  [./yield_fcn_auxk]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 0
    variable = yield_fcn
  [../]
[]

[Postprocessors]
  [./s_xx]
    type = PointValue
    point = '0 0 0'
    variable = stress_xx
  [../]
  [./s_xy]
    type = PointValue
    point = '0 0 0'
    variable = stress_xy
  [../]
  [./s_xz]
    type = PointValue
    point = '0 0 0'
    variable = stress_xz
  [../]
  [./s_yy]
    type = PointValue
    point = '0 0 0'
    variable = stress_yy
  [../]
  [./s_yz]
    type = PointValue
    point = '0 0 0'
    variable = stress_yz
  [../]
  [./s_zz]
    type = PointValue
    point = '0 0 0'
    variable = stress_zz
  [../]
  [./f]
    type = PointValue
    point = '0 0 0'
    variable = yield_fcn
  [../]
[]

[UserObjects]
  [./ts]
    type = SolidMechanicsHardeningConstant
    value = 1
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    block = 0
    fill_method = symmetric_isotropic
    C_ijkl = '0 2.0E6'
  [../]
  [./tensile]
    type = TensileStressUpdate
    tensile_strength = ts
    smoothing_tol = 0.0
    yield_function_tol = 1.0E-9
  [../]
  [./stress]
    type = ComputeMultipleInelasticStress
    inelastic_models = tensile
    perform_finite_strain_rotations = false
  [../]
[]


[Executioner]
  end_time = 1
  dt = 1
  type = Transient
[]


[Outputs]
  file_base = small_deform1_update_version
  exodus = false
  [./csv]
    type = CSV
    [../]
[]

(modules/contact/test/tests/verification/patch_tests/single_pnt_2d/single_point_2d_frictional.i)

[GlobalParams]
  volumetric_locking_correction = true
  displacements = 'disp_x disp_y'
[]

[Mesh]
  file = single_point_2d.e
[]

[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
[]

[AuxVariables]
  [./penetration]
  [../]
  [./saved_x]
  [../]
  [./saved_y]
  [../]
  [./diag_saved_x]
  [../]
  [./diag_saved_y]
  [../]
  [./inc_slip_x]
  [../]
  [./inc_slip_y]
  [../]
  [./accum_slip_x]
  [../]
  [./accum_slip_y]
  [../]
[]

[Functions]
  [./appl_disp]
    type = PiecewiseLinear
    x = '0 0.001  0.101'
    y = '0 0.0   -0.10'
  [../]
[]

[Kernels]
  [./TensorMechanics]
    use_displaced_mesh = true
    save_in = 'saved_x saved_y'
  [../]
[]

[AuxKernels]
  [./incslip_x]
    type = PenetrationAux
    variable = inc_slip_x
    quantity = incremental_slip_x
    boundary = 3
    paired_boundary = 2
  [../]
  [./incslip_y]
    type = PenetrationAux
    variable = inc_slip_y
    quantity = incremental_slip_y
    boundary = 3
    paired_boundary = 2
  [../]
  [./accum_slip_x]
    type = AccumulateAux
    variable = accum_slip_x
    accumulate_from_variable = inc_slip_x
    execute_on = timestep_end
  [../]
  [./accum_slip_y]
    type = AccumulateAux
    variable = accum_slip_y
    accumulate_from_variable = inc_slip_y
    execute_on = timestep_end
  [../]
  [./penetration]
    type = PenetrationAux
    variable = penetration
    boundary = 3
    paired_boundary = 2
  [../]
[]

[BCs]
  [./botx]
    type = DirichletBC
    variable = disp_x
    boundary = 1
    value = 0.0
  [../]
  [./boty]
    type = DirichletBC
    variable = disp_y
    boundary = 1
    value = 0.0
  [../]
  [./topx]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 4
    function = appl_disp
  [../]
  [./topy]
    type = DirichletBC
    variable = disp_y
    boundary = 4
    value = -0.002001
  [../]
[]

[Materials]
  [./bot_elas_tens]
    type = ComputeIsotropicElasticityTensor
    block = '1'
    youngs_modulus = 1e9
    poissons_ratio = 0.3
  [../]
  [./bot_strain]
    type = ComputePlaneFiniteStrain
    block = '1'
  [../]
  [./bot_stress]
    type = ComputeFiniteStrainElasticStress
    block = '1'
  [../]
  [./top_elas_tens]
    type = ComputeIsotropicElasticityTensor
    block = '2'
    youngs_modulus = 1e6
    poissons_ratio = 0.3
  [../]
  [./top_strain]
    type = ComputePlaneFiniteStrain
    block = '2'
  [../]
  [./top_stress]
    type = ComputeFiniteStrainElasticStress
    block = '2'
  [../]
[]

[Postprocessors]
  [./bot_react_x]
    type = NodalSum
    variable = saved_x
    boundary = 1
  [../]
  [./bot_react_y]
    type = NodalSum
    variable = saved_y
    boundary = 1
  [../]
  [./top_react_x]
    type = NodalSum
    variable = saved_x
    boundary = 4
  [../]
  [./top_react_y]
    type = NodalSum
    variable = saved_y
    boundary = 4
  [../]
  [./disp_x]
    type = NodalVariableValue
    nodeid = 5
    variable = disp_x
  [../]
  [./disp_y]
    type = NodalVariableValue
    nodeid = 5
    variable = disp_y
  [../]
  [./inc_slip_x]
    type = NodalVariableValue
    nodeid = 5
    variable = inc_slip_x
  [../]
  [./inc_slip_y]
    type = NodalVariableValue
    nodeid = 5
    variable = inc_slip_y
  [../]
  [./accum_slip_x]
    type = NodalVariableValue
    nodeid = 5
    variable = accum_slip_x
  [../]
  [./accum_slip_y]
    type = NodalVariableValue
    nodeid = 5
    variable = accum_slip_y
  [../]
[]

[Executioner]
  type = Transient
  solve_type = 'PJFNK'

  petsc_options_iname = '-pc_type -pc_factor_mat_solver_type'
  petsc_options_value = 'lu    superlu_dist'

  line_search = 'none'

  l_max_its = 100
  nl_max_its = 200
  dt = 0.001
  end_time = 0.001
  num_steps = 10000
  nl_rel_tol = 1e-6
  nl_abs_tol = 1e-8
  dtmin = 0.001
  l_tol = 1e-3
[]

[Outputs]
  file_base = single_point_2d_out_frictional_0_2_kin
  print_linear_residuals = true
  perf_graph = true
  csv = true
  [./console]
    type = Console
    max_rows = 5
  [../]
[]

[Contact]
  [./leftright]
    primary = 2
    secondary = 3
    model = coulomb
    formulation = kinematic
    penalty = 1e12
    normalize_penalty = true
    friction_coefficient = '0.2'
    tangential_tolerance = 1e-3
  [../]
[]

 [Dampers]
   [./contact_slip]
     type = ContactSlipDamper
     primary = '2'
     secondary = '3'
   [../]
 []

(modules/contact/test/tests/sliding_block/in_and_out/frictionless_penalty.i)

#  This is a benchmark test that checks constraint based frictionless
#  contact using the penalty method.  In this test a sinusoidal
#  displacement is applied in the horizontal direction to simulate
#  a small block come in and out of contact as it slides down a larger block.
#
#  The sinusoid is of the form 0.4sin(4t)+0.2. The gold file is run
#  on one processor and the benchmark
#  case is run on a minimum of 4 processors to ensure no parallel variability
#  in the contact pressure and penetration results.  Further documentation can
#  found in moose/modules/contact/doc/sliding_block/
#

[Mesh]
  file = sliding_elastic_blocks_2d.e
  patch_size = 80
[]

[GlobalParams]
  volumetric_locking_correction = false
  displacements = 'disp_x disp_y'
[]

[AuxVariables]
  [./penetration]
  [../]
  [./inc_slip_x]
  [../]
  [./inc_slip_y]
  [../]
  [./accum_slip_x]
  [../]
  [./accum_slip_y]
  [../]
[]

[Functions]
  [./vertical_movement]
    type = ParsedFunction
    expression = -t
  [../]
  [./horizontal_movement]
    type = ParsedFunction
    expression = -0.04*sin(4*t)+0.02
  [../]
[]

[Physics/SolidMechanics/QuasiStatic]
  [./all]
    add_variables = true
    strain = FINITE
  [../]
[]

[AuxKernels]
  [./zeroslip_x]
    type = ConstantAux
    variable = inc_slip_x
    boundary = 3
    execute_on = timestep_begin
    value = 0.0
  [../]
  [./zeroslip_y]
    type = ConstantAux
    variable = inc_slip_y
    boundary = 3
    execute_on = timestep_begin
    value = 0.0
  [../]
  [./accum_slip_x]
    type = AccumulateAux
    variable = accum_slip_x
    accumulate_from_variable = inc_slip_x
    execute_on = timestep_end
  [../]
  [./accum_slip_y]
    type = AccumulateAux
    variable = accum_slip_y
    accumulate_from_variable = inc_slip_y
    execute_on = timestep_end
  [../]
  [./penetration]
    type = PenetrationAux
    variable = penetration
    boundary = 3
    paired_boundary = 2
  [../]
[]

[Postprocessors]
  [./nonlinear_its]
    type = NumNonlinearIterations
    execute_on = timestep_end
  [../]
  [./penetration]
    type = NodalVariableValue
    variable = penetration
    nodeid = 222
  [../]
  [./contact_pressure]
    type = NodalVariableValue
    variable = contact_pressure
    nodeid = 222
  [../]
[]

[BCs]
  [./left_x]
    type = DirichletBC
    variable = disp_x
    boundary = 1
    value = 0.0
  [../]
  [./left_y]
    type = DirichletBC
    variable = disp_y
    boundary = 1
    value = 0.0
  [../]
  [./right_x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 4
    function = horizontal_movement
  [../]
  [./right_y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 4
    function = vertical_movement
  [../]
[]

[Materials]
  [./left]
    type = ComputeIsotropicElasticityTensor
    block = '1 2'
    youngs_modulus = 1e6
    poissons_ratio = 0.3
    constant_on = SUBDOMAIN
  [../]
  [./stress]
    type = ComputeFiniteStrainElasticStress
    block = '1 2'
  [../]
[]

[Preconditioning]
  [./smp]
     type = SMP
     full = true
  [../]
[]

[Executioner]
  type = Transient
  solve_type = 'PJFNK'

  petsc_options = '-snes_ksp_ew'
  petsc_options_iname = '-pc_type -pc_factor_mat_solver_type'
  petsc_options_value = 'lu     superlu_dist'

  line_search = 'none'

  l_max_its = 100
  nl_max_its = 1000
  dt = 0.1
  end_time = 15
  num_steps = 1000
  l_tol = 1e-6
  nl_rel_tol = 1e-10
  nl_abs_tol = 1e-6
  dtmin = 0.01

  [./Predictor]
    type = SimplePredictor
    scale = 1.0
  [../]
[]

[Outputs]
  time_step_interval = 10
  [./out]
    type = Exodus
    elemental_as_nodal = true
  [../]
  [./console]
    type = Console
    max_rows = 5
  [../]
[]

[Contact]
  [./leftright]
    secondary = 3
    primary = 2
    model = frictionless
    penalty = 1e+7
    formulation = penalty
    normal_smoothing_distance = 0.1
  [../]
[]

(modules/solid_mechanics/test/tests/capped_mohr_coulomb/small_deform1_cosserat.i)

# Using Cosserat with large layer thickness, so this should reduce to standard
# Using CappedMohrCoulombCosserat with tensile failure only
# checking for small deformation
# A single element is stretched by 1E-6m in z direction, and by small amounts in x and y directions
# stress_zz = Youngs Modulus*Strain = 2E6*1E-6 = 2 Pa
# tensile_strength is set to 1Pa
# Then the final stress should return to the yeild surface and the minimum principal stress value should be 1pa.

[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]

[GlobalParams]
  perform_finite_strain_rotations = false
  displacements = 'disp_x disp_y disp_z'
  Cosserat_rotations = 'wc_x wc_y wc_z'
[]


[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
  [./wc_x]
  [../]
  [./wc_y]
  [../]
[]

[Kernels]
  [./cx_elastic]
    type = CosseratStressDivergenceTensors
    variable = disp_x
    component = 0
  [../]
  [./cy_elastic]
    type = CosseratStressDivergenceTensors
    variable = disp_y
    component = 1
  [../]
  [./cz_elastic]
    type = CosseratStressDivergenceTensors
    variable = disp_z
    component = 2
  [../]
  [./x_couple]
    type = StressDivergenceTensors
    variable = wc_x
    displacements = 'wc_x wc_y wc_z'
    component = 0
    base_name = couple
  [../]
  [./y_couple]
    type = StressDivergenceTensors
    variable = wc_y
    displacements = 'wc_x wc_y wc_z'
    component = 1
    base_name = couple
  [../]
  [./x_moment]
    type = MomentBalancing
    variable = wc_x
    component = 0
  [../]
  [./y_moment]
    type = MomentBalancing
    variable = wc_y
    component = 1
  [../]
[]

[BCs]
  [./x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'front back'
    function = '0.1E-6*x'
  [../]
  [./y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'front back'
    function = '0.2E-6*y'
  [../]
  [./z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'front back'
    function = '1E-6*z'
  [../]
[]

[AuxVariables]
  [./wc_z]
  [../]
  [./stress_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./yield_fcn]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]

[AuxKernels]
  [./stress_xx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xx
    index_i = 0
    index_j = 0
  [../]
  [./stress_xy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xy
    index_i = 0
    index_j = 1
  [../]
  [./stress_xz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xz
    index_i = 0
    index_j = 2
  [../]
  [./stress_yy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yy
    index_i = 1
    index_j = 1
  [../]
  [./stress_yz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yz
    index_i = 1
    index_j = 2
  [../]
  [./stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zz
    index_i = 2
    index_j = 2
  [../]
  [./yield_fcn_auxk]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 0
    variable = yield_fcn
  [../]
[]

[Postprocessors]
  [./s_xx]
    type = PointValue
    point = '0 0 0'
    variable = stress_xx
  [../]
  [./s_xy]
    type = PointValue
    point = '0 0 0'
    variable = stress_xy
  [../]
  [./s_xz]
    type = PointValue
    point = '0 0 0'
    variable = stress_xz
  [../]
  [./s_yy]
    type = PointValue
    point = '0 0 0'
    variable = stress_yy
  [../]
  [./s_yz]
    type = PointValue
    point = '0 0 0'
    variable = stress_yz
  [../]
  [./s_zz]
    type = PointValue
    point = '0 0 0'
    variable = stress_zz
  [../]
  [./f]
    type = PointValue
    point = '0 0 0'
    variable = yield_fcn
  [../]
[]

[UserObjects]
  [./ts]
    type = SolidMechanicsHardeningConstant
    value = 1
  [../]
  [./coh]
    type = SolidMechanicsHardeningConstant
    value = 1E6
  [../]
  [./ang]
    type = SolidMechanicsHardeningConstant
    value = 0.5
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeLayeredCosseratElasticityTensor
    young = 4.0E6
    poisson = 0.0
    layer_thickness = 1.0
    joint_normal_stiffness = 1.0E16
    joint_shear_stiffness = 1.0E16
  [../]
  [./strain]
    type = ComputeCosseratIncrementalSmallStrain
  [../]
  [./tensile]
    type = CappedMohrCoulombCosseratStressUpdate
    tensile_strength = ts
    compressive_strength = ts
    cohesion = coh
    friction_angle = ang
    dilation_angle = ang
    smoothing_tol = 0.0
    yield_function_tol = 1.0E-9
    host_youngs_modulus = 4.0E6
    host_poissons_ratio = 0.0
  [../]
  [./stress]
    type = ComputeMultipleInelasticCosseratStress
    inelastic_models = tensile
    perform_finite_strain_rotations = false
  [../]
[]


[Executioner]
  end_time = 1
  dt = 1
  nl_abs_tol = 1E-10
  type = Transient
[]


[Outputs]
  file_base = small_deform1_cosserat
  csv = true
[]

(modules/navier_stokes/test/tests/finite_element/ins/lid_driven/lid_driven.i)

[GlobalParams]
  gravity = '0 0 0'
[]

[Mesh]
  [gen]
    type = GeneratedMeshGenerator
    dim = 2
    xmin = 0
    xmax = 1.0
    ymin = 0
    ymax = 1.0
    nx = 16
    ny = 16
    elem_type = QUAD9
  []
  [./corner_node]
    type = ExtraNodesetGenerator
    new_boundary = 'pinned_node'
    nodes = '0'
    input = gen
  [../]
[]

[Variables]
  [./vel_x]
    order = SECOND
    family = LAGRANGE
  [../]

  [./vel_y]
    order = SECOND
    family = LAGRANGE
  [../]

  [./T]
    order = SECOND
    family = LAGRANGE

    [./InitialCondition]
      type = ConstantIC
      value = 1.0
    [../]
  [../]

  [./p]
    order = FIRST
    family = LAGRANGE
  [../]
[]

[Kernels]
  # mass
  [./mass]
    type = INSMass
    variable = p
    u = vel_x
    v = vel_y
    pressure = p
  [../]

  # x-momentum, time
  [./x_momentum_time]
    type = INSMomentumTimeDerivative
    variable = vel_x
  [../]

  # x-momentum, space
  [./x_momentum_space]
    type = INSMomentumLaplaceForm
    variable = vel_x
    u = vel_x
    v = vel_y
    pressure = p
    component = 0
  [../]

  # y-momentum, time
  [./y_momentum_time]
    type = INSMomentumTimeDerivative
    variable = vel_y
  [../]

  # y-momentum, space
  [./y_momentum_space]
    type = INSMomentumLaplaceForm
    variable = vel_y
    u = vel_x
    v = vel_y
    pressure = p
    component = 1
  [../]

 # temperature
 [./temperature_time]
   type = INSTemperatureTimeDerivative
   variable = T
 [../]

 [./temperature_space]
   type = INSTemperature
   variable = T
   u = vel_x
   v = vel_y
 [../]
[]

[BCs]
  [./x_no_slip]
    type = DirichletBC
    variable = vel_x
    boundary = 'bottom right left'
    value = 0.0
  [../]

  [./lid]
    type = FunctionDirichletBC
    variable = vel_x
    boundary = 'top'
    function = 'lid_function'
  [../]

  [./y_no_slip]
    type = DirichletBC
    variable = vel_y
    boundary = 'bottom right top left'
    value = 0.0
  [../]

  [./T_hot]
    type = DirichletBC
    variable = T
    boundary = 'bottom'
    value = 1
  [../]

  [./T_cold]
    type = DirichletBC
    variable = T
    boundary = 'top'
    value = 0
  [../]

  [./pressure_pin]
    type = DirichletBC
    variable = p
    boundary = 'pinned_node'
    value = 0
  [../]
[]

[Materials]
  [./const]
    type = GenericConstantMaterial
    block = 0
    prop_names = 'rho mu cp k'
    prop_values = '1  1  1  .01'
  [../]
[]

[Functions]
  [./lid_function]
    # We pick a function that is exactly represented in the velocity
    # space so that the Dirichlet conditions are the same regardless
    # of the mesh spacing.
    type = ParsedFunction
    expression = '4*x*(1-x)'
  [../]
[]

[Preconditioning]
  [./SMP]
    type = SMP
    full = true
    solve_type = 'NEWTON'
  [../]
[]

[Executioner]
  type = Transient
  # Run for 100+ timesteps to reach steady state.
  num_steps = 5
  dt = .5
  dtmin = .5
  petsc_options_iname = '-pc_type -pc_asm_overlap -sub_pc_type -sub_pc_factor_levels'
  petsc_options_value = 'asm      2               ilu          4'
  line_search = 'none'
  nl_rel_tol = 1e-12
  nl_abs_tol = 1e-13
  nl_max_its = 6
  l_tol = 1e-6
  l_max_its = 500
[]

[Outputs]
  file_base = lid_driven_out
  exodus = true
  perf_graph = true
[]

(modules/solid_mechanics/test/tests/weak_plane_shear/large_deform3.i)

# apply a number of "random" configurations and
# check that the algorithm returns to the yield surface
#
# must be careful here - we cannot put in arbitrary values of C_ijkl, otherwise the condition
# df/dsigma * C * flow_dirn < 0 for some stresses
# The important features that must be obeyed are:
# 0 = C_0222 = C_1222  (holds for transversely isotropic, for instance)
# C_0212 < C_0202 = C_1212 (holds for transversely isotropic)
[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]

[Mesh]
  type = GeneratedMesh
  dim = 3
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]

[Physics/SolidMechanics/QuasiStatic/all]
  strain = FINITE
  add_variables = true
[]

[BCs]
  [bottomx]
    type = DirichletBC
    variable = disp_x
    boundary = back
    value = 0.0
  []
  [bottomy]
    type = DirichletBC
    variable = disp_y
    boundary = back
    value = 0.0
  []
  [bottomz]
    type = DirichletBC
    variable = disp_z
    boundary = back
    value = 0.0
  []

  # the following are "random" deformations
  # each is O(1E-1) to provide large deformations
  [topx]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = front
    function = '(sin(0.1*t)+x)/1E1'
  []
  [topy]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = front
    function = '(cos(t)+x*y)/1E1'
  []
  [topz]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = front
    function = 'sin(0.4321*t)*x*y*z/1E1'
  []
[]

[AuxVariables]
  [yield_fcn]
    order = CONSTANT
    family = MONOMIAL
  []
[]

[AuxKernels]
  [yield_fcn_auxk]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 0
    variable = yield_fcn
  []
[]

[Postprocessors]
  [yield_fcn_at_zero]
    type = PointValue
    point = '0 0 0'
    variable = yield_fcn
    outputs = 'console'
  []
  [should_be_zero]
    type = FunctionValuePostprocessor
    function = should_be_zero_fcn
  []
[]

[Functions]
  [should_be_zero_fcn]
    type = ParsedFunction
    expression = 'if(a<1E-3,0,a)'
    symbol_names = 'a'
    symbol_values = 'yield_fcn_at_zero'
  []
[]

[UserObjects]
  [coh]
    type = SolidMechanicsHardeningConstant
    value = 1E3
  []
  [tanphi]
    type = SolidMechanicsHardeningConstant
    value = 0.577350269
  []
  [tanpsi]
    type = SolidMechanicsHardeningConstant
    value = 0.08748866
  []
  [wps]
    type = SolidMechanicsPlasticWeakPlaneShear
    cohesion = coh
    tan_friction_angle = tanphi
    tan_dilation_angle = tanpsi
    smoother = 100
    yield_function_tolerance = 1E-3
    internal_constraint_tolerance = 1E-3
  []
[]

[Materials]
  [elasticity_tensor]
    type = ComputeElasticityTensor
    # the following is transversely isotropic, i think.
    fill_method = symmetric9
    C_ijkl = '3E9 1E9 3E9 3E9 3E9 6E9 1E9 1E9 9E9'
  []
  [mc]
    type = ComputeMultiPlasticityStress
    plastic_models = wps
    transverse_direction = '0 0 1'
    max_NR_iterations = 100
    ep_plastic_tolerance = 1E-3
    debug_fspb = crash
  []
[]


[Executioner]
  end_time = 1E4
  dt = 1
  type = Transient
[]


[Outputs]
  csv = true
[]

(test/tests/bcs/nodal_normals/cylinder_hexes_2nd.i)

[Mesh]
  file = cylinder-hexes-2nd.e
[]

[Functions]
  [./all_bc_fn]
    type = ParsedFunction
    expression = x*x+y*y
  [../]

  [./f_fn]
    type = ParsedFunction
    expression = -4
  [../]
[]

[NodalNormals]
  boundary = '1'
  corner_boundary = 100
  order = SECOND
[]

[Variables]
  [./u]
  [../]
[]

[Kernels]
  [./diff]
    type = Diffusion
    variable = u
  [../]
  [./ffn]
    type = BodyForce
    variable = u
    function = f_fn
  [../]
[]

[BCs]
  [./all]
    type = FunctionDirichletBC
    variable = u
    boundary = '1'
    function = 'all_bc_fn'
  [../]
[]

[Executioner]
  type = Steady

  solve_type = 'PJFNK'
  nl_rel_tol = 1e-13
[]

[Outputs]
  execute_on = 'timestep_end'
  exodus = true
[]

(modules/heat_transfer/test/tests/gap_heat_transfer_mortar/gap_heat_transfer_radiation_test.i)

#
# This test replicates the legacy heat transfter test
# gap_heat_transfer_radiation/gap_heat_transfer_radiation_test.i
# The flux post processors give 3.753945e+01
#

[Mesh]
  [file]
    type = FileMeshGenerator
    file = gap_heat_transfer_radiation_test.e
  []
  [secondary]
    type = LowerDBlockFromSidesetGenerator
    sidesets = '2'
    new_block_id = '200'
    new_block_name = 'secondary_lower'
    input = file
  []
  [primary]
    type = LowerDBlockFromSidesetGenerator
    sidesets = '3'
    new_block_id = '300'
    new_block_name = 'primary_lower'
    input = secondary
  []
[]

[Functions]
  [temp]
    type = PiecewiseLinear
    x = '0   1'
    y = '200 200'
  []
[]

[Variables]
  [temp]
    order = FIRST
    family = LAGRANGE
    initial_condition = 100
    scaling = 1e-8
  []
  [lm]
    order = FIRST
    family = LAGRANGE
    block = 'secondary_lower'
    scaling = 1e-1
  []
[]

[Kernels]
  [heat]
    type = HeatConduction
    variable = temp
    block = '1 2'
  []
[]

[BCs]
  [temp_far_left]
    type = FunctionDirichletBC
    boundary = 1
    variable = temp
    function = temp
  []

  [temp_far_right]
    type = DirichletBC
    boundary = 4
    variable = temp
    value = 100
  []
[]

[UserObjects]
  [radiative]
    type = GapFluxModelRadiative
    secondary_emissivity = 0.5
    primary_emissivity = 0.5
    temperature = temp
    boundary = 3
  []
  [simple]
    type = GapFluxModelSimple
    k = 0.09187557
    temperature = temp
    boundary = 3
  []
[]

[Constraints]
  [ced]
    type = ModularGapConductanceConstraint
    variable = lm
    secondary_variable = temp
    primary_boundary = 3
    primary_subdomain = 300
    secondary_boundary = 2
    secondary_subdomain = 200
    gap_flux_models = 'simple radiative'
  []
[]

[Materials]
  [heat1]
    type = HeatConductionMaterial
    block = '1 2'
    specific_heat = 1.0
    thermal_conductivity = 10000000.0
  []
  [density]
    type = GenericConstantMaterial
    block = '1 2'
    prop_names = 'density'
    prop_values = '1.0'
  []
[]

[Executioner]
  type = Transient
  solve_type = 'PJFNK'
  end_time = 1.0
[]

[Postprocessors]
  [temp_left]
    type = SideAverageValue
    boundary = 2
    variable = temp
    execute_on = 'initial timestep_end'
  []

  [temp_right]
    type = SideAverageValue
    boundary = 3
    variable = temp
    execute_on = 'initial timestep_end'
  []

  [flux_left]
    type = SideDiffusiveFluxIntegral
    variable = temp
    boundary = 2
    diffusivity = thermal_conductivity
  []

  [flux_right]
    type = SideDiffusiveFluxIntegral
    variable = temp
    boundary = 3
    diffusivity = thermal_conductivity
  []
[]

[Outputs]
  exodus = true
[]

(modules/solid_mechanics/test/tests/mean_cap_TC/random01.i)

# apply many random large deformations, checking that the algorithm returns correctly to
# the yield surface each time.
[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1000
  ny = 125
  nz = 1
  xmin = 0
  xmax = 1000
  ymin = 0
  ymax = 125
  zmin = 0
  zmax = 1
[]


[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
[]

[Kernels]
  [SolidMechanics]
    displacements = 'disp_x disp_y disp_z'
  [../]
[]


[ICs]
  [./x]
    type = RandomIC
    min = -0.1
    max = 0.1
    variable = disp_x
  [../]
  [./y]
    type = RandomIC
    min = -0.1
    max = 0.1
    variable = disp_y
  [../]
  [./z]
    type = RandomIC
    min = -0.1
    max = 0.1
    variable = disp_z
  [../]
[]

[BCs]
  [./x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'front back'
    function = '0'
  [../]
  [./y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'front back'
    function = '0'
  [../]
  [./z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'front back'
    function = '0'
  [../]
[]

[AuxVariables]
  [./yield_fcn]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./iter]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]

[AuxKernels]
  [./yield_fcn_auxk]
    type = MaterialStdVectorAux
    index = 0
    property = plastic_yield_function
    variable = yield_fcn
  [../]
  [./iter]
    type = MaterialRealAux
    property = plastic_NR_iterations
    variable = iter
  [../]
[]

[Postprocessors]
  [./max_yield_fcn]
    type = ElementExtremeValue
    variable = yield_fcn
    outputs = 'console'
  [../]
  [./should_be_zero]
    type = FunctionValuePostprocessor
    function = should_be_zero_fcn
  [../]
  [./av_iter]
    type = ElementAverageValue
    variable = iter
    outputs = 'console'
  [../]
[]

[Functions]
  [./should_be_zero_fcn]
    type = ParsedFunction
    expression = 'if(a<1E-3,0,a)'
    symbol_names = 'a'
    symbol_values = 'max_yield_fcn'
  [../]
[]

[UserObjects]
  [./tensile_strength]
    type = SolidMechanicsHardeningConstant
    value = 1
  [../]
  [./compressive_strength]
    type = SolidMechanicsHardeningConstant
    value = -1.5
  [../]
  [./cap]
    type = SolidMechanicsPlasticMeanCapTC
    tensile_strength = tensile_strength
    compressive_strength = compressive_strength
    yield_function_tolerance = 1E-3
    internal_constraint_tolerance = 1E-9
    use_custom_returnMap = false
    use_custom_cto = false
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    block = 0
    fill_method = symmetric_isotropic
    C_ijkl = '0.7E7 1E7'
  [../]
  [./strain]
    type = ComputeIncrementalStrain
    block = 0
    displacements = 'disp_x disp_y disp_z'
  [../]
  [./mc]
    type = ComputeMultiPlasticityStress
    block = 0
    max_NR_iterations = 2
    ep_plastic_tolerance = 1E-6
    plastic_models = cap
  [../]
[]


[Executioner]
  end_time = 1
  dt = 1
  type = Transient
[]


[Outputs]
  file_base = random01
  exodus = false
  [./csv]
    type = CSV
  [../]
[]

(modules/solid_mechanics/examples/uexternaldb_coupling/test.i)

[GlobalParams]
  displacements = 'disp_x disp_y'
[]

[Mesh]
  [gen]
    type = GeneratedMeshGenerator
    dim = 2
    nx = 2
    ny = 2
  []
[]

[Physics/SolidMechanics/QuasiStatic]
  [all]
    add_variables = true
    strain = FINITE
  []
[]

[BCs]
  [left_x]
    type = DirichletBC
    variable = disp_x
    boundary = left
    value = 0
  []
  [left_y]
    type = DirichletBC
    variable = disp_y
    boundary = left
    value = 0
  []
  [right]
    type = FunctionDirichletBC
    boundary = right
    variable = disp_x
    function = t
  []
[]

[UserObjects]
  [uexternaldb]
    type = AbaqusUExternalDB
    plugin = umat
    execute_on = 'INITIAL TIMESTEP_END FINAL'
  []
[]

[Materials]
  [umat]
    type = AbaqusUMATStress
    constant_properties = '1 0.3'
    num_state_vars = 0
    plugin = umat
    # plugin = ../../test/plugins/elastic
    use_one_based_indexing = true
  []
[]

[Executioner]
  type = Transient
  solve_type = NEWTON

  petsc_options = '-snes_ksp_ew'
  petsc_options_iname = '-ksp_gmres_restart'
  petsc_options_value = '101'

  line_search = 'none'

  l_max_its = 100
  nl_max_its = 100
  nl_rel_tol = 1e-12
  nl_abs_tol = 1e-10
  l_tol = 1e-9

  dt = 0.01
  num_steps = 10
[]

[Outputs]
  print_linear_residuals = false
[]

(modules/solid_mechanics/test/tests/capped_mohr_coulomb/small_deform11.i)

# Using CappedMohrCoulomb with compressive failure only
# checking for small deformation
# A single element is stretched by -1E-6m in z direction, and by small amounts in x and y directions
# stress_zz = Youngs Modulus*Strain = -2E6*1E-6 = -2 Pa
# compressive_strength is set to 1Pa
# Then the final stress should return to the yeild surface and the minimum principal stress value should be -1pa.

[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]

[Physics/SolidMechanics/QuasiStatic]
  [./all]
    add_variables = true
    incremental = true
    generate_output = 'stress_xx stress_xy stress_xz stress_yy stress_yz stress_zz'
  [../]
[]

[BCs]
  [./x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'front back'
    function = '-0.1E-6*x'
  [../]
  [./y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'front back'
    function = '-0.2E-6*y'
  [../]
  [./z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'front back'
    function = '-1E-6*z'
  [../]
[]

[AuxVariables]
  [./yield_fcn]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]

[AuxKernels]
  [./yield_fcn_auxk]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 0
    variable = yield_fcn
  [../]
[]

[Postprocessors]
  [./s_xx]
    type = PointValue
    point = '0 0 0'
    variable = stress_xx
  [../]
  [./s_xy]
    type = PointValue
    point = '0 0 0'
    variable = stress_xy
  [../]
  [./s_xz]
    type = PointValue
    point = '0 0 0'
    variable = stress_xz
  [../]
  [./s_yy]
    type = PointValue
    point = '0 0 0'
    variable = stress_yy
  [../]
  [./s_yz]
    type = PointValue
    point = '0 0 0'
    variable = stress_yz
  [../]
  [./s_zz]
    type = PointValue
    point = '0 0 0'
    variable = stress_zz
  [../]
  [./f]
    type = PointValue
    point = '0 0 0'
    variable = yield_fcn
  [../]
[]

[UserObjects]
  [./ts]
    type = SolidMechanicsHardeningConstant
    value = 1
  [../]
  [./cs]
    type = SolidMechanicsHardeningConstant
    value = 1
  [../]
  [./coh]
    type = SolidMechanicsHardeningConstant
    value = 1E6
  [../]
  [./ang]
    type = SolidMechanicsHardeningConstant
    value = 0.5
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    block = 0
    fill_method = symmetric_isotropic
    C_ijkl = '0 2.0E6'
  [../]
  [./tensile]
    type = CappedMohrCoulombStressUpdate
    tensile_strength = ts
    compressive_strength = cs
    cohesion = coh
    friction_angle = ang
    dilation_angle = ang
    smoothing_tol = 0.0
    yield_function_tol = 1.0E-9
  [../]
  [./stress]
    type = ComputeMultipleInelasticStress
    inelastic_models = tensile
    perform_finite_strain_rotations = false
  [../]
[]


[Executioner]
  end_time = 1
  dt = 1
  type = Transient
[]


[Outputs]
  file_base = small_deform11
  csv = true
[]

(modules/solid_mechanics/test/tests/multi/six_surface14.i)

# Plasticit models:
# SimpleTester0 with a = 0 and b = 1 and strength = 1
# SimpleTester1 with a = 1 and b = 0 and strength = 1
# SimpleTester2 with a = 1 and b = 1 and strength = 3
# SimpleTester3 with a = 0 and b = 1 and strength = 1.1
# SimpleTester4 with a = 1 and b = 0 and strength = 1.1
# SimpleTester5 with a = 1 and b = 1 and strength = 3.1
#
# Lame lambda = 0 (Poisson=0).  Lame mu = 0.5E6
#
# A single element is stretched by 2.1E-6m in y direction and 3E-6 in z direction.
# trial stress_yy = 2.1 and stress_zz = 3.0
#
# This is similar to three_surface14.i, and a description is found there.
# The result should be stress_zz=1=stress_yy, with internal0=2
# and internal1=1.1

[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]


[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
[]

[Kernels]
  [SolidMechanics]
    displacements = 'disp_x disp_y disp_z'
  [../]
[]


[BCs]
  [./x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'front back'
    function = '0E-6*x'
  [../]
  [./y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'front back'
    function = '2.1E-6*y'
  [../]
  [./z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'front back'
    function = '3.0E-6*z'
  [../]
[]

[AuxVariables]
  [./stress_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f0]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f1]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f2]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f3]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f4]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f5]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./int0]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./int1]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./int2]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./int3]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./int4]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./int5]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]

[AuxKernels]
  [./stress_xx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xx
    index_i = 0
    index_j = 0
  [../]
  [./stress_xy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xy
    index_i = 0
    index_j = 1
  [../]
  [./stress_xz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xz
    index_i = 0
    index_j = 2
  [../]
  [./stress_yy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yy
    index_i = 1
    index_j = 1
  [../]
  [./stress_yz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yz
    index_i = 1
    index_j = 2
  [../]
  [./stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zz
    index_i = 2
    index_j = 2
  [../]
  [./f0]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 0
    variable = f0
  [../]
  [./f1]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 1
    variable = f1
  [../]
  [./f2]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 2
    variable = f2
  [../]
  [./f3]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 3
    variable = f3
  [../]
  [./f4]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 4
    variable = f4
  [../]
  [./f5]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 5
    variable = f5
  [../]
  [./int0]
    type = MaterialStdVectorAux
    property = plastic_internal_parameter
    factor = 1E6
    index = 0
    variable = int0
  [../]
  [./int1]
    type = MaterialStdVectorAux
    property = plastic_internal_parameter
    factor = 1E6
    index = 1
    variable = int1
  [../]
  [./int2]
    type = MaterialStdVectorAux
    property = plastic_internal_parameter
    factor = 1E6
    index = 2
    variable = int2
  [../]
  [./int3]
    type = MaterialStdVectorAux
    property = plastic_internal_parameter
    factor = 1E6
    index = 3
    variable = int3
  [../]
  [./int4]
    type = MaterialStdVectorAux
    property = plastic_internal_parameter
    factor = 1E6
    index = 4
    variable = int4
  [../]
  [./int5]
    type = MaterialStdVectorAux
    property = plastic_internal_parameter
    factor = 1E6
    index = 5
    variable = int5
  [../]
[]

[Postprocessors]
  [./s_xx]
    type = PointValue
    point = '0 0 0'
    variable = stress_xx
  [../]
  [./s_xy]
    type = PointValue
    point = '0 0 0'
    variable = stress_xy
  [../]
  [./s_xz]
    type = PointValue
    point = '0 0 0'
    variable = stress_xz
  [../]
  [./s_yy]
    type = PointValue
    point = '0 0 0'
    variable = stress_yy
  [../]
  [./s_yz]
    type = PointValue
    point = '0 0 0'
    variable = stress_yz
  [../]
  [./s_zz]
    type = PointValue
    point = '0 0 0'
    variable = stress_zz
  [../]
  [./f0]
    type = PointValue
    point = '0 0 0'
    variable = f0
  [../]
  [./f1]
    type = PointValue
    point = '0 0 0'
    variable = f1
  [../]
  [./f2]
    type = PointValue
    point = '0 0 0'
    variable = f2
  [../]
  [./f3]
    type = PointValue
    point = '0 0 0'
    variable = f3
  [../]
  [./f4]
    type = PointValue
    point = '0 0 0'
    variable = f4
  [../]
  [./f5]
    type = PointValue
    point = '0 0 0'
    variable = f5
  [../]
  [./int0]
    type = PointValue
    point = '0 0 0'
    variable = int0
  [../]
  [./int1]
    type = PointValue
    point = '0 0 0'
    variable = int1
  [../]
  [./int2]
    type = PointValue
    point = '0 0 0'
    variable = int2
  [../]
  [./int3]
    type = PointValue
    point = '0 0 0'
    variable = int3
  [../]
  [./int4]
    type = PointValue
    point = '0 0 0'
    variable = int4
  [../]
  [./int5]
    type = PointValue
    point = '0 0 0'
    variable = int5
  [../]
[]

[UserObjects]
  [./simple0]
    type = SolidMechanicsPlasticSimpleTester
    a = 0
    b = 1
    strength = 1
    yield_function_tolerance = 1.0E-6
    internal_constraint_tolerance = 1.0E-6
  [../]
  [./simple1]
    type = SolidMechanicsPlasticSimpleTester
    a = 1
    b = 0
    strength = 1
    yield_function_tolerance = 1.0E-6
    internal_constraint_tolerance = 1.0E-6
  [../]
  [./simple2]
    type = SolidMechanicsPlasticSimpleTester
    a = 1
    b = 1
    strength = 3
    yield_function_tolerance = 1.0E-6
    internal_constraint_tolerance = 1.0E-6
  [../]
  [./simple3]
    type = SolidMechanicsPlasticSimpleTester
    a = 0
    b = 1
    strength = 1.1
    yield_function_tolerance = 1.0E-6
    internal_constraint_tolerance = 1.0E-6
  [../]
  [./simple4]
    type = SolidMechanicsPlasticSimpleTester
    a = 1
    b = 0
    strength = 1.1
    yield_function_tolerance = 1.0E-6
    internal_constraint_tolerance = 1.0E-6
  [../]
  [./simple5]
    type = SolidMechanicsPlasticSimpleTester
    a = 1
    b = 1
    strength = 3.1
    yield_function_tolerance = 1.0E-6
    internal_constraint_tolerance = 1.0E-6
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    block = 0
    fill_method = symmetric_isotropic
    C_ijkl = '0 0.5E6'
  [../]
  [./strain]
    type = ComputeFiniteStrain
    block = 0
    displacements = 'disp_x disp_y disp_z'
  [../]
  [./multi]
    type = ComputeMultiPlasticityStress
    block = 0
    ep_plastic_tolerance = 1E-9
    plastic_models = 'simple0 simple1 simple2 simple3 simple4 simple5'
    max_NR_iterations = 4
    min_stepsize = 1
    debug_fspb = crash
    debug_jac_at_stress = '10 0 0 0 10 0 0 0 10'
    debug_jac_at_pm = '1 1 1'
    debug_jac_at_intnl = '1 1 1'
    debug_stress_change = 1E-5
    debug_pm_change = '1E-6 1E-6 1E-6'
    debug_intnl_change = '1E-6 1E-6 1E-6'
  [../]
[]


[Executioner]
  end_time = 1
  dt = 1
  type = Transient
[]


[Outputs]
  file_base = six_surface14
  exodus = false
  [./csv]
    type = CSV
    [../]
[]

(modules/solid_mechanics/test/tests/multi/three_surface02.i)

# Plasticit models:
# SimpleTester0 with a = 0 and b = 1 and strength = 1
# SimpleTester1 with a = 1 and b = 0 and strength = 1
# SimpleTester2 with a = 1 and b = 1 and strength = 1.5
#
# Lame lambda = 0 (Poisson=0).  Lame mu = 0.5E6
#
# A single element is stretched by 0E-6m in y direction and 2.0E-6 in z direction.
# trial stress_yy = 0 and stress_zz = 2.0
#
# Then SimpleTester0 and SimpleTester2 should activate and the algorithm will return to
# the corner stress_yy=0.5, stress_zz=1, but this will require a negative plasticity
# multiplier for SimpleTester2, so it will be deactivated, and the algorithm will return to
# stress_yy = 0, stress_zz = 1
# internal0 should be 1.0, and others zero

[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]


[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
[]

[Kernels]
  [SolidMechanics]
    displacements = 'disp_x disp_y disp_z'
  [../]
[]


[BCs]
  [./x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'front back'
    function = '0E-6*x'
  [../]
  [./y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'front back'
    function = '0E-6*y'
  [../]
  [./z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'front back'
    function = '2.0E-6*z'
  [../]
[]

[AuxVariables]
  [./stress_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f0]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f1]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f2]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./int0]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./int1]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./int2]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]

[AuxKernels]
  [./stress_xx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xx
    index_i = 0
    index_j = 0
  [../]
  [./stress_xy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xy
    index_i = 0
    index_j = 1
  [../]
  [./stress_xz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xz
    index_i = 0
    index_j = 2
  [../]
  [./stress_yy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yy
    index_i = 1
    index_j = 1
  [../]
  [./stress_yz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yz
    index_i = 1
    index_j = 2
  [../]
  [./stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zz
    index_i = 2
    index_j = 2
  [../]
  [./f0]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 0
    variable = f0
  [../]
  [./f1]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 1
    variable = f1
  [../]
  [./f2]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 2
    variable = f2
  [../]
  [./int0]
    type = MaterialStdVectorAux
    property = plastic_internal_parameter
    factor = 1E6
    index = 0
    variable = int0
  [../]
  [./int1]
    type = MaterialStdVectorAux
    property = plastic_internal_parameter
    factor = 1E6
    index = 1
    variable = int1
  [../]
  [./int2]
    type = MaterialStdVectorAux
    property = plastic_internal_parameter
    factor = 1E6
    index = 2
    variable = int2
  [../]
[]

[Postprocessors]
  [./s_xx]
    type = PointValue
    point = '0 0 0'
    variable = stress_xx
  [../]
  [./s_xy]
    type = PointValue
    point = '0 0 0'
    variable = stress_xy
  [../]
  [./s_xz]
    type = PointValue
    point = '0 0 0'
    variable = stress_xz
  [../]
  [./s_yy]
    type = PointValue
    point = '0 0 0'
    variable = stress_yy
  [../]
  [./s_yz]
    type = PointValue
    point = '0 0 0'
    variable = stress_yz
  [../]
  [./s_zz]
    type = PointValue
    point = '0 0 0'
    variable = stress_zz
  [../]
  [./f0]
    type = PointValue
    point = '0 0 0'
    variable = f0
  [../]
  [./f1]
    type = PointValue
    point = '0 0 0'
    variable = f1
  [../]
  [./f2]
    type = PointValue
    point = '0 0 0'
    variable = f2
  [../]
  [./int0]
    type = PointValue
    point = '0 0 0'
    variable = int0
  [../]
  [./int1]
    type = PointValue
    point = '0 0 0'
    variable = int1
  [../]
  [./int2]
    type = PointValue
    point = '0 0 0'
    variable = int2
  [../]
[]

[UserObjects]
  [./simple0]
    type = SolidMechanicsPlasticSimpleTester
    a = 0
    b = 1
    strength = 1
    yield_function_tolerance = 1.0E-9
    internal_constraint_tolerance = 1.0E-9
  [../]
  [./simple1]
    type = SolidMechanicsPlasticSimpleTester
    a = 1
    b = 0
    strength = 1
    yield_function_tolerance = 1.0E-9
    internal_constraint_tolerance = 1.0E-9
  [../]
  [./simple2]
    type = SolidMechanicsPlasticSimpleTester
    a = 1
    b = 1
    strength = 1.5
    yield_function_tolerance = 1.0E-9
    internal_constraint_tolerance = 1.0E-9
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    block = 0
    fill_method = symmetric_isotropic
    C_ijkl = '0 0.5E6'
  [../]
  [./strain]
    type = ComputeFiniteStrain
    block = 0
    displacements = 'disp_x disp_y disp_z'
  [../]
  [./multi]
    type = ComputeMultiPlasticityStress
    block = 0
    ep_plastic_tolerance = 1E-9
    plastic_models = 'simple0 simple1 simple2'
    max_NR_iterations = 2
    min_stepsize = 1
    debug_fspb = crash
    debug_jac_at_stress = '10 0 0 0 10 0 0 0 10'
    debug_jac_at_pm = '1 1'
    debug_jac_at_intnl = '1 1'
    debug_stress_change = 1E-5
    debug_pm_change = '1E-6 1E-6'
    debug_intnl_change = '1E-6 1E-6'
  [../]
[]


[Executioner]
  end_time = 1
  dt = 1
  type = Transient
[]


[Outputs]
  file_base = three_surface02
  exodus = false
  [./csv]
    type = CSV
    [../]
[]

(modules/solid_mechanics/test/tests/drucker_prager/small_deform3_outer_tip.i)

# apply repeated stretches in x z directions, and smaller stretches along the y direction,
# so that sigma_I = sigma_II,
# which means that lode angle = 30deg.
# The allows yield surface in meridional plane to be mapped out


[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]


[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
[]

[Kernels]
  [SolidMechanics]
    displacements = 'disp_x disp_y disp_z'
  [../]
[]


[BCs]
  [./x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'front back'
    function = '1E-6*x*t'
  [../]
  [./y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'front back'
    function = '-1.7E-6*y*t'
  [../]
  [./z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'front back'
    function = '1E-6*z*t'
  [../]
[]

[AuxVariables]
  [./stress_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./mc_int]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./yield_fcn]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]

[AuxKernels]
  [./stress_xx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xx
    index_i = 0
    index_j = 0
  [../]
  [./stress_xy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xy
    index_i = 0
    index_j = 1
  [../]
  [./stress_xz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xz
    index_i = 0
    index_j = 2
  [../]
  [./stress_yy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yy
    index_i = 1
    index_j = 1
  [../]
  [./stress_yz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yz
    index_i = 1
    index_j = 2
  [../]
  [./stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zz
    index_i = 2
    index_j = 2
  [../]
  [./mc_int_auxk]
    type = MaterialStdVectorAux
    index = 0
    property = plastic_internal_parameter
    variable = mc_int
  [../]
  [./yield_fcn_auxk]
    type = MaterialStdVectorAux
    index = 0
    property = plastic_yield_function
    variable = yield_fcn
  [../]
[]

[Postprocessors]
  [./s_xx]
    type = PointValue
    point = '0 0 0'
    variable = stress_xx
  [../]
  [./s_xy]
    type = PointValue
    point = '0 0 0'
    variable = stress_xy
  [../]
  [./s_xz]
    type = PointValue
    point = '0 0 0'
    variable = stress_xz
  [../]
  [./s_yy]
    type = PointValue
    point = '0 0 0'
    variable = stress_yy
  [../]
  [./s_yz]
    type = PointValue
    point = '0 0 0'
    variable = stress_yz
  [../]
  [./s_zz]
    type = PointValue
    point = '0 0 0'
    variable = stress_zz
  [../]
  [./internal]
    type = PointValue
    point = '0 0 0'
    variable = mc_int
  [../]
  [./f]
    type = PointValue
    point = '0 0 0'
    variable = yield_fcn
  [../]
[]

[UserObjects]
  [./mc_coh]
    type = SolidMechanicsHardeningConstant
    value = 10
  [../]
  [./mc_phi]
    type = SolidMechanicsHardeningConstant
    value = 35
    convert_to_radians = true
  [../]
  [./mc_psi]
    type = SolidMechanicsHardeningConstant
    value = 5
    convert_to_radians = true
  [../]
  [./mc]
    type = SolidMechanicsPlasticDruckerPragerHyperbolic
    mc_cohesion = mc_coh
    mc_friction_angle = mc_phi
    mc_dilation_angle = mc_psi
    smoother = 8
    mc_interpolation_scheme = outer_tip
    yield_function_tolerance = 1E-7
    internal_constraint_tolerance = 1E-9
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    block = 0
    fill_method = symmetric_isotropic
    C_ijkl = '0 1E7'
  [../]
  [./strain]
    type = ComputeIncrementalStrain
    block = 0
    displacements = 'disp_x disp_y disp_z'
  [../]
  [./mc]
    type = ComputeMultiPlasticityStress
    block = 0
    ep_plastic_tolerance = 1E-13
    plastic_models = mc
    debug_fspb = crash
  [../]
[]


[Executioner]
  end_time = 10
  dt = 1
  type = Transient
[]


[Outputs]
  file_base = small_deform3_outer_tip
  exodus = false
  [./csv]
    type = CSV
    [../]
[]

(test/tests/geomsearch/2d_moving_penetration/pl_test1q.i)

[GlobalParams]
  order = SECOND
  family = LAGRANGE
[]

[Mesh]
  file = pl_test1q.e
  displacements = 'disp_x disp_y'
[]

[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
[]

[AuxVariables]
  [./distance]
  [../]
  [./tangential_distance]
  [../]
  [./normal_x]
  [../]
  [./normal_y]
  [../]
  [./closest_point_x]
  [../]
  [./closest_point_y]
  [../]
  [./element_id]
  [../]
  [./side]
  [../]
[]

[Kernels]
  [./diff_x]
    type = Diffusion
    variable = disp_x
  [../]
  [./diff_y]
    type = Diffusion
    variable = disp_y
  [../]
[]

[AuxKernels]
  [./penetrate]
    type = PenetrationAux
    variable = distance
    boundary = 11            #secondary
    paired_boundary = 12     #primary
  [../]

  [./penetrate2]
    type = PenetrationAux
    variable = distance
    boundary = 12            #secondary
    paired_boundary = 11     #primary
  [../]

  [./penetrate3]
    type = PenetrationAux
    variable = tangential_distance
    boundary = 11
    paired_boundary = 12
    quantity = tangential_distance
  [../]

  [./penetrate4]
    type = PenetrationAux
    variable = tangential_distance
    boundary = 12
    paired_boundary = 11
    quantity = tangential_distance
  [../]

  [./penetrate5]
    type = PenetrationAux
    variable = normal_x
    boundary = 11
    paired_boundary = 12
    quantity = normal_x
  [../]

  [./penetrate6]
    type = PenetrationAux
    variable = normal_x
    boundary = 12
    paired_boundary = 11
    quantity = normal_x
  [../]

  [./penetrate7]
    type = PenetrationAux
    variable = normal_y
    boundary = 11
    paired_boundary = 12
    quantity = normal_y
  [../]

  [./penetrate8]
    type = PenetrationAux
    variable = normal_y
    boundary = 12
    paired_boundary = 11
    quantity = normal_y
  [../]

  [./penetrate9]
    type = PenetrationAux
    variable = closest_point_x
    boundary = 11
    paired_boundary = 12
    quantity = closest_point_x
  [../]

  [./penetrate10]
    type = PenetrationAux
    variable = closest_point_x
    boundary = 12
    paired_boundary = 11
    quantity = closest_point_x
  [../]

  [./penetrate11]
    type = PenetrationAux
    variable = closest_point_y
    boundary = 11
    paired_boundary = 12
    quantity = closest_point_y
  [../]

  [./penetrate12]
    type = PenetrationAux
    variable = closest_point_y
    boundary = 12
    paired_boundary = 11
    quantity = closest_point_y
  [../]

  [./penetrate13]
    type = PenetrationAux
    variable = element_id
    boundary = 11
    paired_boundary = 12
    quantity = element_id
  [../]

  [./penetrate14]
    type = PenetrationAux
    variable = element_id
    boundary = 12
    paired_boundary = 11
    quantity = element_id
  [../]

  [./penetrate15]
    type = PenetrationAux
    variable = side
    boundary = 11
    paired_boundary = 12
    quantity = side
  [../]

  [./penetrate16]
    type = PenetrationAux
    variable = side
    boundary = 12
    paired_boundary = 11
    quantity = side
  [../]
[]

[BCs]
  [./b1x]
    type = DirichletBC
    variable = disp_x
    boundary = 1
    value = 0
  [../]

  [./b1y]
    type = DirichletBC
    variable = disp_y
    boundary = 1
    value = 0
  [../]

  [./b2x]
    type = DirichletBC
    variable = disp_x
    boundary = 2
    value = 0
  [../]

  [./b2y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 2
    function = disp_y
  [../]
[]

[Functions]
  [./disp_y]
    type = PiecewiseLinear
    x = '0.0 0.25 0.75 1.0'
    y = '0.0 0.7 -0.7  0.0'
  [../]
[]

[Executioner]
  type = Transient

  solve_type = 'PJFNK'
  petsc_options = '-snes_ksp_ew'

  nl_rel_tol = 1.e-9
  l_max_its = 10

  start_time = 0.0
  dt = 0.05
  end_time = 1.0
  [./Quadrature]
    order = THIRD
  [../]
[]

[Outputs]
  file_base = pl_test1q_out
  exodus = true
[]

(modules/solid_mechanics/test/tests/anisotropic_patch/anisotropic_patch_test.i)

# Patch Test

# This test is designed to compute constant xx, yy, zz, xy, yz, and zx
#  stress on a set of irregular hexes.  The mesh is composed of one
#  block with seven elements.  The elements form a unit cube with one
#  internal element.  There is a nodeset for each exterior node.

# The cube is displaced by 1e-6 units in x, 2e-6 in y, and 3e-6 in z.
#  The faces are sheared as well (1e-6, 2e-6, and 3e-6 for xy, yz, and
#  zx).  This gives a uniform strain/stress state for all six unique
#  tensor components.

# With Young's modulus at 1e6 and Poisson's ratio at 0, the shear
#  modulus is 5e5 (G=E/2/(1+nu)).  Therefore,
#
#  stress xx = 1e6 * 1e-6 = 1
#  stress yy = 1e6 * 2e-6 = 2
#  stress zz = 1e6 * 3e-6 = 3
#  stress xy = 2 * 5e5 * 1e-6 / 2 = 0.5
#             (2 * G   * gamma_xy / 2 = 2 * G * epsilon_xy)
#  stress yz = 2 * 5e5 * 2e-6 / 2 = 1
#  stress zx = 2 * 5e5 * 3e-6 / 2 = 1.5

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]

[Mesh]#Comment
  file = anisotropic_patch_test.e
[] # Mesh

[Functions]
  [./rampConstant1]
    type = PiecewiseLinear
    x = '0. 1. 2.'
    y = '0. 1. 1.'
    scale_factor = 1e-6
  [../]
  [./rampConstant2]
    type = PiecewiseLinear
    x = '0. 1. 2.'
    y = '0. 1. 1.'
    scale_factor = 2e-6
  [../]
  [./rampConstant3]
    type = PiecewiseLinear
    x = '0. 1. 2.'
    y = '0. 1. 1.'
    scale_factor = 3e-6
  [../]
  [./rampConstant4]
    type = PiecewiseLinear
    x = '0. 1. 2.'
    y = '0. 1. 1.'
    scale_factor = 4e-6
  [../]
  [./rampConstant6]
    type = PiecewiseLinear
    x = '0. 1. 2.'
    y = '0. 1. 1.'
    scale_factor = 6e-6
  [../]
[] # Functions

[Variables]
  [./disp_x]
    order = FIRST
    family = LAGRANGE
  [../]
  [./disp_y]
    order = FIRST
    family = LAGRANGE
  [../]
  [./disp_z]
    order = FIRST
    family = LAGRANGE
  [../]
[] # Variables

[AuxVariables]
  [./elastic_energy]
    order = CONSTANT
    family = MONOMIAL
  [../]
[] # AuxVariables

[Physics/SolidMechanics/QuasiStatic]
  [./all]
    strain = SMALL
    add_variables = true
    generate_output = 'stress_xx stress_yy stress_zz stress_xy stress_yz stress_zx vonmises_stress hydrostatic_stress firstinv_stress secondinv_stress thirdinv_stress'
  [../]
[]

[AuxKernels]
  [./elastic_energy]
    type = ElasticEnergyAux
    variable = elastic_energy
  [../]
[] # AuxKernels

[BCs]
  [./node1_x]
    type = DirichletBC
    variable = disp_x
    boundary = 1
    value = 0.0
  [../]
  [./node1_y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 1
    function = rampConstant2
  [../]
  [./node1_z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 1
    function = rampConstant3
  [../]

  [./node2_x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 2
    function = rampConstant1
  [../]
  [./node2_y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 2
    function = rampConstant2
  [../]
  [./node2_z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 2
    function = rampConstant6
  [../]

  [./node3_x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 3
    function = rampConstant1
  [../]
  [./node3_y]
    type = DirichletBC
    variable = disp_y
    boundary = 3
    value = 0.0
  [../]
  [./node3_z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 3
    function = rampConstant3
  [../]

  [./node4_x]
    type = DirichletBC
    variable = disp_x
    boundary = 4
    value = 0.0
  [../]
  [./node4_y]
    type = DirichletBC
    variable = disp_y
    boundary = 4
    value = 0.0
  [../]
  [./node4_z]
    type = DirichletBC
    variable = disp_z
    boundary = 4
    value = 0.0
  [../]

  [./node5_x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 5
    function = rampConstant1
  [../]
  [./node5_y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 5
    function = rampConstant4
  [../]
  [./node5_z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 5
    function = rampConstant3
  [../]

  [./node6_x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 6
    function = rampConstant2
  [../]
  [./node6_y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 6
    function = rampConstant4
  [../]
  [./node6_z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 6
    function = rampConstant6
  [../]

  [./node7_x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 7
    function = rampConstant2
  [../]
  [./node7_y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 7
    function = rampConstant2
  [../]
  [./node7_z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 7
    function = rampConstant3
  [../]

  [./node8_x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 8
    function = rampConstant1
  [../]
  [./node8_y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 8
    function = rampConstant2
  [../]
  [./node8_z]
    type = DirichletBC
    variable = disp_z
    boundary = 8
    value = 0.0
  [../]
[] # BCs

[Materials]
  [./elastic_tensor]
    type = ComputeElasticityTensor
    C_ijkl = '1e6 0.0 0.0 1e6 0.0 1e6 0.5e6 0.5e6 0.5e6'
    fill_method = symmetric9
    euler_angle_1 = 18.0
    euler_angle_2 = 43.0
    euler_angle_3 = 177.0
#    Isotropic material constants
#    The three euler angles do not matter
#    youngs_modulus = 1e6
#    poissons_ratio = 0.0
  [../]
  [./stress]
    type = ComputeLinearElasticStress
  [../]
[] # Materials

[Executioner]
  type = Transient

  nl_abs_tol = 1e-10
  l_max_its = 20

  start_time = 0.0
  dt = 1.0
  num_steps = 2
  end_time = 2.0
[] # Executioner

[Outputs]
  file_base = anisotropic_patch_test_out
  [./exodus]
    type = Exodus
    elemental_as_nodal = true
  [../]
[] # Outputs

(modules/solid_mechanics/test/tests/crystal_plasticity/stress_update_material_based/bicrystal_test.i)

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]

[Mesh]
  [copper]
    type = GeneratedMeshGenerator
    dim = 3
    elem_type = HEX8
  []
  [copper_id]
    type = SubdomainIDGenerator
    input = copper
    subdomain_id = 0
  []
  [brass]
    type = GeneratedMeshGenerator
    dim = 3
    zmax = 2
    zmin = 1
    elem_type = HEX8
  []
  [brass_id]
    type = SubdomainIDGenerator
    input = brass
    subdomain_id = 1
  []
  [sticher]
    type = StitchedMeshGenerator
    inputs = 'copper_id brass_id'
    stitch_boundaries_pairs = 'front back'
    prevent_boundary_ids_overlap = false
  []
[]

[AuxVariables]
  [pk2]
    order = CONSTANT
    family = MONOMIAL
  []
  [fp_zz]
    order = CONSTANT
    family = MONOMIAL
  []
  [e_zz]
    order = CONSTANT
    family = MONOMIAL
  []
  [copper_gss]
    order = CONSTANT
    family = MONOMIAL
    block = 0
  []
  [copper_slip_increment]
    order = CONSTANT
    family = MONOMIAL
    block = 0
  []
  [brass_gss]
    order = CONSTANT
    family = MONOMIAL
    block = 1
  []
  [brass_slip_increment]
    order = CONSTANT
    family = MONOMIAL
    block = 1
  []
[]

[Physics/SolidMechanics/QuasiStatic]
  [copper]
    strain = FINITE
    incremental = true
    add_variables = true
    generate_output = stress_zz
    block = 0
    base_name = copper
  []
  [brass]
    strain = FINITE
    incremental = true
    add_variables = true
    generate_output = stress_zz
    block = 1
    base_name = brass
  []
[]

[AuxKernels]
  [pk2]
    type = RankTwoAux
    variable = pk2
    rank_two_tensor = second_piola_kirchhoff_stress
    index_j = 2
    index_i = 2
    execute_on = timestep_end
  []
  [fp_zz]
    type = RankTwoAux
    variable = fp_zz
    rank_two_tensor = plastic_deformation_gradient
    index_j = 2
    index_i = 2
    execute_on = timestep_end
  []
  [e_zz]
    type = RankTwoAux
    variable = e_zz
    rank_two_tensor = total_lagrangian_strain
    index_j = 2
    index_i = 2
    execute_on = timestep_end
  []
  [gss_copper]
    type = MaterialStdVectorAux
    variable = copper_gss
    property = copper_slip_resistance
    index = 0
    block = 0
    execute_on = timestep_end
  []
  [slip_inc_copper]
    type = MaterialStdVectorAux
    variable = copper_slip_increment
    property = copper_slip_increment
    index = 0
    block = 0
    execute_on = timestep_end
  []
  [gss_brass]
    type = MaterialStdVectorAux
    variable = brass_gss
    property = brass_slip_resistance
    index = 0
    block = 1
    execute_on = timestep_end
  []
  [slip_inc_brass]
    type = MaterialStdVectorAux
    variable = brass_slip_increment
    property = brass_slip_increment
    index = 0
    block = 1
    execute_on = timestep_end
  []
[]

[BCs]
  [symmy]
    type = DirichletBC
    variable = disp_y
    boundary = bottom
    value = 0
  []
  [symmx]
    type = DirichletBC
    variable = disp_x
    boundary = left
    value = 0
  []
  [symmz]
    type = DirichletBC
    variable = disp_z
    boundary = back
    value = 0
  []
  [tdisp]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = front
    function = '0.01*t'
  []
[]

[Materials]
  [elasticity_tensor_copper]
    type = ComputeElasticityTensorCP
    C_ijkl = '1.684e5 1.214e5 1.214e5 1.684e5 1.214e5 1.684e5 0.754e5 0.754e5 0.754e5'
    fill_method = symmetric9
    base_name = copper
    block = 0
  []
  [stress_copper]
    type = ComputeMultipleCrystalPlasticityStress
    crystal_plasticity_models = 'trial_xtalpl_copper'
    tan_mod_type = exact
    base_name = copper
    block = 0
  []
  [trial_xtalpl_copper]
    type = CrystalPlasticityKalidindiUpdate
    number_slip_systems = 12
    slip_sys_file_name = input_slip_sys.txt
    base_name = copper
    block = 0
  []
  [elasticity_tensor_brass]
    type = ComputeElasticityTensorCP
    C_ijkl = '1.684e5 1.214e5 1.214e5 1.684e5 1.214e5 1.684e5 0.754e5 0.754e5 0.754e5'
    fill_method = symmetric9
    euler_angle_1 = 0.0
    euler_angle_2 = 45.0
    euler_angle_3 = 0.9
    base_name = brass
    block = 1
  []
  [stress_brass]
    type = ComputeMultipleCrystalPlasticityStress
    crystal_plasticity_models = 'trial_xtalpl_brass'
    tan_mod_type = exact
    base_name = brass
    block = 1
  []
  [trial_xtalpl_brass]
    type = CrystalPlasticityKalidindiUpdate
    number_slip_systems = 12
    slip_sys_file_name = input_slip_sys.txt
    base_name = brass
    block = 1
  []
[]

[Postprocessors]
  [copper_stress_zz]
    type = ElementAverageValue
    variable = copper_stress_zz
    block = 0
  []
  [brass_stress_zz]
    type = ElementAverageValue
    variable = brass_stress_zz
    block = 1
  []
  [pk2]
    type = ElementAverageValue
    variable = pk2
  []
  [fp_zz]
    type = ElementAverageValue
    variable = fp_zz
  []
  [e_zz]
    type = ElementAverageValue
    variable = e_zz
  []
  [copper_gss]
    type = ElementAverageValue
    variable = copper_gss
    block = 0
  []
  [copper_slip_increment]
    type = ElementAverageValue
    variable = copper_slip_increment
    block = 0
  []
  [brass_gss]
    type = ElementAverageValue
    variable = brass_gss
    block = 1
  []
  [brass_slip_increment]
    type = ElementAverageValue
    variable = brass_slip_increment
    block = 1
  []
[]

[Preconditioning]
  [smp]
    type = SMP
    full = true
  []
[]

[Executioner]
  type = Transient
  solve_type = 'PJFNK'

  petsc_options_iname = '-pc_type -pc_asm_overlap -sub_pc_type -ksp_type -ksp_gmres_restart'
  petsc_options_value = ' asm      2              lu            gmres     200'
  nl_abs_tol = 1e-10
  nl_rel_tol = 1e-10
  nl_abs_step_tol = 1e-10

  dt = 0.05
  dtmin = 0.01
  dtmax = 10.0
  num_steps = 10
[]

[Outputs]
  csv = true
  perf_graph = true
[]

(modules/combined/test/tests/combined_plasticity_temperature/plasticity_temperature_dep_yield.i)

#
# This is a test of the piece-wise linear strain hardening model using the
# small strain formulation.  This test exercises the temperature-dependent
# yield stress.
#
# Test procedure:
# 1. The element is pulled to and then beyond the yield stress for a given
# temperature.
# 2. The displacement is then constant while the temperature increases and
# the yield stress decreases.  This results in a lower stress with more
# plastic strain.
# 3. The temperature decreases beyond its original value giving a higher
# yield stress.  The displacement increases, causing increases stress to
# the new yield stress.
# 4. The temperature and yield stress are constant with increasing
# displacement giving a constant stress and more plastic strain.
#
# Plotting total_strain_yy on the x axis and stress_yy on the y axis shows
# the stress history in a clear way.
#
#  s |
#  t |            *****
#  r |           *
#  e |   *****  *
#  s |  *    * *
#  s | *     *
#    |*
#    +------------------
#           total strain
#

[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
[]

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]

[Physics/SolidMechanics/QuasiStatic]
  [./all]
    strain = FINITE
    incremental = true
    add_variables = true
    generate_output = 'stress_yy plastic_strain_xx plastic_strain_yy plastic_strain_zz'
  [../]
[]

[Variables]
  [./temp]
    order = FIRST
    family = LAGRANGE
  [../]
[]

[Functions]
  [./top_pull]
    type = PiecewiseLinear
    x = '0 1     2    4    5    6'
    y = '0 0.025 0.05 0.05 0.06 0.085'
  [../]
  [./yield]
    type = PiecewiseLinear
    x = '400 500 600'
    y = '6e3 5e3 4e3'
  [../]
  [./temp]
    type = PiecewiseLinear
    x = '0   1   2   3   4'
    y = '500 500 500 600 400'
  [../]
[]

[Kernels]
  [./heat]
    type = HeatConduction
    variable = temp
  [../]
[]

[BCs]
  [./y_pull_function]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = top
    function = top_pull
  [../]
  [./x_bot]
    type = DirichletBC
    variable = disp_x
    boundary = left
    value = 0.0
  [../]
  [./y_bot]
    type = DirichletBC
    variable = disp_y
    boundary = bottom
    value = 0.0
  [../]
  [./z_bot]
    type = DirichletBC
    variable = disp_z
    boundary = back
    value = 0.0
  [../]
  [./temp]
    type = FunctionDirichletBC
    variable = temp
    function = temp
    boundary = left
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeIsotropicElasticityTensor
    block = 0
    youngs_modulus = 2.0e5
    poissons_ratio = 0.3
  [../]
  [./creep_plas]
    type = ComputeMultipleInelasticStress
    tangent_operator = elastic
    block = 0
    inelastic_models = 'plasticity'
    max_iterations = 50
    absolute_tolerance = 1e-05
  [../]
  [./plasticity]
    type = IsotropicPlasticityStressUpdate
    block = 0
    hardening_constant = 0
    yield_stress_function = yield
    temperature = temp
  [../]
  [./heat_conduction]
    type = HeatConductionMaterial
    block = 0
    specific_heat = 1
    thermal_conductivity = 1
  [../]
[]

[Executioner]
  type = Transient
  solve_type = 'PJFNK'

  petsc_options = '-snes_ksp_ew'
  petsc_options_iname = '-ksp_gmres_restart -pc_type -pc_hypre_type -pc_hypre_boomeramg_max_iter'
  petsc_options_value = '201                hypre    boomeramg      4'

  line_search = 'none'

  l_max_its = 100
  nl_max_its = 100
  nl_rel_tol = 1e-12
  nl_abs_tol = 1e-10
  l_tol = 1e-9

  start_time = 0.0
  end_time = 6
  dt = 0.1
[]

[Outputs]
  exodus = true
[]

(test/tests/geomsearch/3d_moving_penetration_smoothing/pl_test4nns.i)

[GlobalParams]
  order = FIRST
  family = LAGRANGE
[]

[Mesh]
  file = pl_test4.e
  displacements = 'disp_x disp_y disp_z'
[]

[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
[]

[AuxVariables]
  [./distance]
  [../]
  [./tangential_distance]
  [../]
  [./normal_x]
  [../]
  [./normal_y]
  [../]
  [./normal_z]
  [../]
  [./closest_point_x]
  [../]
  [./closest_point_y]
  [../]
  [./closest_point_z]
  [../]
#  [./element_id]
#  [../]
  [./side]
  [../]
[]

[Kernels]
  [./diff_x]
    type = Diffusion
    variable = disp_x
  [../]
  [./diff_y]
    type = Diffusion
    variable = disp_y
  [../]
  [./diff_z]
    type = Diffusion
    variable = disp_z
  [../]
[]

[AuxKernels]
  [./penetrate]
    type = PenetrationAux
    variable = distance
    boundary = 11            #secondary
    paired_boundary = 12     #primary
  [../]

  [./penetrate2]
    type = PenetrationAux
    variable = distance
    boundary = 12            #secondary
    paired_boundary = 11     #primary
    normal_smoothing_method = nodal_normal_based
  [../]

  [./penetrate3]
    type = PenetrationAux
    variable = tangential_distance
    boundary = 11
    paired_boundary = 12
    quantity = tangential_distance
  [../]

  [./penetrate4]
    type = PenetrationAux
    variable = tangential_distance
    boundary = 12
    paired_boundary = 11
    quantity = tangential_distance
  [../]

  [./penetrate5]
    type = PenetrationAux
    variable = normal_x
    boundary = 11
    paired_boundary = 12
    quantity = normal_x
  [../]

  [./penetrate6]
    type = PenetrationAux
    variable = normal_x
    boundary = 12
    paired_boundary = 11
    quantity = normal_x
  [../]

  [./penetrate7]
    type = PenetrationAux
    variable = normal_y
    boundary = 11
    paired_boundary = 12
    quantity = normal_y
  [../]

  [./penetrate8]
    type = PenetrationAux
    variable = normal_y
    boundary = 12
    paired_boundary = 11
    quantity = normal_y
  [../]

  [./penetrate9]
    type = PenetrationAux
    variable = normal_z
    boundary = 11
    paired_boundary = 12
    quantity = normal_z
  [../]

  [./penetrate10]
    type = PenetrationAux
    variable = normal_z
    boundary = 12
    paired_boundary = 11
    quantity = normal_z
  [../]

  [./penetrate11]
    type = PenetrationAux
    variable = closest_point_x
    boundary = 11
    paired_boundary = 12
    quantity = closest_point_x
  [../]

  [./penetrate12]
    type = PenetrationAux
    variable = closest_point_x
    boundary = 12
    paired_boundary = 11
    quantity = closest_point_x
  [../]

  [./penetrate13]
    type = PenetrationAux
    variable = closest_point_y
    boundary = 11
    paired_boundary = 12
    quantity = closest_point_y
  [../]

  [./penetrate14]
    type = PenetrationAux
    variable = closest_point_y
    boundary = 12
    paired_boundary = 11
    quantity = closest_point_y
  [../]

  [./penetrate15]
    type = PenetrationAux
    variable = closest_point_z
    boundary = 11
    paired_boundary = 12
    quantity = closest_point_z
  [../]

  [./penetrate16]
    type = PenetrationAux
    variable = closest_point_z
    boundary = 12
    paired_boundary = 11
    quantity = closest_point_z
  [../]

#  [./penetrate17]
#    type = PenetrationAux
#    variable = element_id
#    boundary = 11
#    paired_boundary = 12
#    quantity = element_id
#  [../]
#
#  [./penetrate18]
#    type = PenetrationAux
#    variable = element_id
#    boundary = 12
#    paired_boundary = 11
#    quantity = element_id
#  [../]

  [./penetrate19]
    type = PenetrationAux
    variable = side
    boundary = 11
    paired_boundary = 12
    quantity = side
  [../]

  [./penetrate20]
    type = PenetrationAux
    variable = side
    boundary = 12
    paired_boundary = 11
    quantity = side
  [../]
[]

[BCs]
  [./b1x]
    type = DirichletBC
    variable = disp_x
    boundary = 1
    value = 0
  [../]

  [./b1y]
    type = DirichletBC
    variable = disp_y
    boundary = 1
    value = 0
  [../]

  [./b1z]
    type = DirichletBC
    variable = disp_z
    boundary = 1
    value = 0
  [../]

  [./b2x]
    type = DirichletBC
    variable = disp_x
    boundary = 2
    value = 0
  [../]

  [./b2y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 2
    function = disp_y
  [../]

  [./b2z]
    type = DirichletBC
    variable = disp_z
    boundary = 2
    value = 0
  [../]
[]

[Functions]
  [./disp_y]
    type = PiecewiseLinear
    x = '0.0 0.25 0.75 1.0'
    y = '0.0 2.0 -2.0  0.0'
  [../]
[]

[Executioner]
  type = Transient

  solve_type = 'PJFNK'
  petsc_options = '-snes_ksp_ew'

  nl_rel_tol = 1e-9
  l_max_its = 10

  start_time = 0.0
  dt = 0.02
  end_time = 1.0
[]

[Outputs]
  file_base = pl_test4nns_out
  exodus = true
[]

[NodalNormals]
  boundary = 11
  corner_boundary = 20
[]

(modules/solid_mechanics/test/tests/mohr_coulomb/small_deform_hard2.i)

# apply uniform stretches in x, y and z directions.
# let friction_angle = 60deg, friction_angle_residual=10deg, friction_angle_rate = 0.5E4
# With cohesion = C, friction_angle = phi, tip_smoother = T, the
# algorithm should return to
# sigma_m = (C*Cos(phi) - T)/Sin(phi)
# Or, when T=C,
# phi = 2*pi*n - 2*arctan(sigma_m/C)
# This allows checking of the relationship for phi

[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]


[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
[]

[Kernels]
  [SolidMechanics]
    displacements = 'disp_x disp_y disp_z'
  [../]
[]


[BCs]
  [./x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'front back'
    function = '1E-6*x*t'
  [../]
  [./y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'front back'
    function = '1E-6*y*t'
  [../]
  [./z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'front back'
    function = '1E-6*z*t'
  [../]
[]

[AuxVariables]
  [./stress_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./mc_int]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./yield_fcn]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]

[AuxKernels]
  [./stress_xx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xx
    index_i = 0
    index_j = 0
  [../]
  [./stress_xy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xy
    index_i = 0
    index_j = 1
  [../]
  [./stress_xz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xz
    index_i = 0
    index_j = 2
  [../]
  [./stress_yy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yy
    index_i = 1
    index_j = 1
  [../]
  [./stress_yz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yz
    index_i = 1
    index_j = 2
  [../]
  [./stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zz
    index_i = 2
    index_j = 2
  [../]
  [./mc_int_auxk]
    type = MaterialStdVectorAux
    index = 0
    property = plastic_internal_parameter
    variable = mc_int
  [../]
  [./yield_fcn_auxk]
    type = MaterialStdVectorAux
    index = 0
    property = plastic_yield_function
    variable = yield_fcn
  [../]
[]

[Postprocessors]
  [./s_xx]
    type = PointValue
    point = '0 0 0'
    variable = stress_xx
  [../]
  [./s_xy]
    type = PointValue
    point = '0 0 0'
    variable = stress_xy
  [../]
  [./s_xz]
    type = PointValue
    point = '0 0 0'
    variable = stress_xz
  [../]
  [./s_yy]
    type = PointValue
    point = '0 0 0'
    variable = stress_yy
  [../]
  [./s_yz]
    type = PointValue
    point = '0 0 0'
    variable = stress_yz
  [../]
  [./s_zz]
    type = PointValue
    point = '0 0 0'
    variable = stress_zz
  [../]
  [./internal]
    type = PointValue
    point = '0 0 0'
    variable = mc_int
  [../]
  [./f]
    type = PointValue
    point = '0 0 0'
    variable = yield_fcn
  [../]
[]

[UserObjects]
  [./mc_coh]
    type = SolidMechanicsHardeningConstant
    value = 10
  [../]
  [./mc_phi]
    type = SolidMechanicsHardeningExponential
    value_0 = 1.04719755 # 60deg
    value_residual = 0.17453293 # 10deg
    rate = 0.5E4
  [../]
  [./mc_psi]
    type = SolidMechanicsHardeningConstant
    value = 5
    convert_to_radians = true
  [../]
  [./mc]
    type = SolidMechanicsPlasticMohrCoulomb
    cohesion = mc_coh
    friction_angle = mc_phi
    dilation_angle = mc_psi
    mc_tip_smoother = 10
    mc_edge_smoother = 25
    yield_function_tolerance = 1E-3
    internal_constraint_tolerance = 1E-9
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    block = 0
    fill_method = symmetric_isotropic
    C_ijkl = '0 1E7'
  [../]
  [./strain]
    type = ComputeFiniteStrain
    block = 0
    displacements = 'disp_x disp_y disp_z'
  [../]
  [./mc]
    type = ComputeMultiPlasticityStress
    block = 0
    ep_plastic_tolerance = 1E-9
    plastic_models = mc
    debug_fspb = crash
    debug_jac_at_stress = '10 1 2 1 10 3 2 3 10'
    debug_jac_at_pm = 1
    debug_jac_at_intnl = 1E-3
    debug_stress_change = 1E-5
    debug_pm_change = 1E-6
    debug_intnl_change = 1E-6
  [../]
[]


[Executioner]
  end_time = 10
  dt = 1
  type = Transient
[]


[Outputs]
  file_base = small_deform_hard2
  exodus = false
  [./csv]
    type = CSV
    [../]
[]

(modules/solid_mechanics/test/tests/capped_mohr_coulomb/small_deform7.i)

# Using CappedMohrCoulomb with tensile failure only
# A single element is incrementally stretched in the in the z and x directions
# This causes the return direction to be along the hypersurface sigma_I = sigma_II
# and the resulting stresses are checked to lie on the expected yield surface

[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]

[Physics/SolidMechanics/QuasiStatic]
  [./all]
    add_variables = true
    strain = finite
    incremental = true
    generate_output = 'max_principal_stress mid_principal_stress min_principal_stress stress_xx stress_xy stress_xz stress_yy stress_yz stress_zz'
  [../]
[]

[BCs]
  [./x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'front back'
    function = '4*x*t'
  [../]
  [./y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'front back'
    function = '1*y*t'
  [../]
  [./z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'front back'
    function = '4*z*t'
  [../]
[]

[AuxVariables]
  [./yield_fcn]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]

[AuxKernels]
  [./yield_fcn_auxk]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 0
    variable = yield_fcn
  [../]
[]

[Postprocessors]
  [./s_I]
    type = PointValue
    point = '0 0 0'
    variable = max_principal_stress
  [../]
  [./s_II]
    type = PointValue
    point = '0 0 0'
    variable = mid_principal_stress
  [../]
  [./s_III]
    type = PointValue
    point = '0 0 0'
    variable = min_principal_stress
  [../]
  [./f]
    type = PointValue
    point = '0 0 0'
    variable = yield_fcn
  [../]
[]

[UserObjects]
  [./ts]
    type = SolidMechanicsHardeningConstant
    value = 1
  [../]
  [./cs]
    type = SolidMechanicsHardeningConstant
    value = 1E6
  [../]
  [./coh]
    type = SolidMechanicsHardeningConstant
    value = 1E6
  [../]
  [./ang]
    type = SolidMechanicsHardeningConstant
    value = 0.5
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    fill_method = symmetric_isotropic
    C_ijkl = '0 2.0'
  [../]
  [./tensile]
    type = CappedMohrCoulombStressUpdate
    tensile_strength = ts
    compressive_strength = cs
    cohesion = coh
    friction_angle = ang
    dilation_angle = ang
    smoothing_tol = 0.5
    yield_function_tol = 1.0E-12
  [../]
  [./stress]
    type = ComputeMultipleInelasticStress
    inelastic_models = tensile
    perform_finite_strain_rotations = false
  [../]
[]


[Executioner]
  end_time = 1
  dt = 0.1
  type = Transient
[]


[Outputs]
  file_base = small_deform7
  csv = true
[]

(test/tests/misc/initial_solution_copy/solutions_equal.i)

[Mesh]
  type = GeneratedMesh
  dim = 2
  nx = 10
  ny = 10
[]

[Variables]
  [./u]
  [../]
[]

[Functions]
  [./initial_func]
    type = ParsedFunction
    expression = sin(pi*x)*sin(pi*y)
  [../]
[]

[Kernels]
  [./diff]
    type = CoefDiffusion
    variable = u
    coef = 0.1
  [../]
  [./time]
    type = TimeDerivative
    variable = u
  [../]
  [./source]
    type = BodyForce
    variable = u
    value = 1
  [../]
[]

[BCs]
  active = 'func_bc'
  [./left]
    type = DirichletBC
    variable = u
    boundary = left
    value = 0
  [../]
  [./right]
    type = DirichletBC
    variable = u
    boundary = right
    value = 1
  [../]
  [./func_bc]
    type = FunctionDirichletBC
    variable = u
    boundary = 'bottom right top left'
    function = initial_func
  [../]
[]

[Postprocessors]
  [./test_pp]
    type = TestCopyInitialSolution
    execute_on = timestep_begin
  [../]
[]

[Executioner]
  type = Transient
  num_steps = 1

  solve_type = 'PJFNK'

  petsc_options_iname = '-pc_type -pc_hypre_type'
  petsc_options_value = 'hypre boomeramg'
[]

[ICs]
  [./initial]
    function = initial_func
    variable = u
    type = FunctionIC
  [../]
[]

(python/mms/test/mms_temporal.i)

[Mesh]
  type = GeneratedMesh
  dim = 2
  nx = 8
  ny = 8
[]

[Variables]
  [u][]
[]

[Kernels]
  [time]
    type = ADTimeDerivative
    variable = u
  []
  [diff]
    type = ADDiffusion
    variable = u
  []
  [force]
    type = BodyForce
    variable = u
    function = force
  []
[]

[Functions]
  [exact]
    type = ParsedFunction
    expression = 't^3*x*y'
  []
  [force]
    type = ParsedFunction
    expression = '3*x*y*t^2'
  []
[]

[BCs]
  [all]
    type = FunctionDirichletBC
    variable = u
    function = exact
    boundary = 'left right top bottom'
  []
[]

[Postprocessors]
  [error]
    type = ElementL2Error
    function = exact
    variable = u
  []
  [h]
    type = AverageElementSize
  []
[]

[Executioner]
  type = Transient
  dt = 1
  end_time = 3
  solve_type = 'PJFNK'
  petsc_options_iname = '-pc_type -pc_hypre_type'
  petsc_options_value = 'hypre boomeramg'
[]

[Outputs]
  exodus = true
  csv = true
[]

(modules/contact/test/tests/frictional/single_point_2d/single_point_2d_tp.i)

[Mesh]
  file = single_point_2d.e
[]

[GlobalParams]
  volumetric_locking_correction = false
  displacements = 'disp_x disp_y'
[]

[AuxVariables]
  [./penetration]
  [../]
  [./saved_x]
  [../]
  [./saved_y]
  [../]
  [./diag_saved_x]
  [../]
  [./diag_saved_y]
  [../]
  [./inc_slip_x]
  [../]
  [./inc_slip_y]
  [../]
  [./accum_slip_x]
  [../]
  [./accum_slip_y]
  [../]
[]

[Functions]
  [./horizontal_movement]
    type = ParsedFunction
    expression = t
  [../]
[]

[Physics/SolidMechanics/QuasiStatic]
  [./all]
    add_variables = true
    strain = FINITE
    save_in = 'saved_x saved_y'
    diag_save_in = 'diag_saved_x diag_saved_y'
  [../]
[]

[AuxKernels]
  [./incslip_x]
    type = PenetrationAux
    variable = inc_slip_x
    quantity = incremental_slip_x
    boundary = 3
    paired_boundary = 2
  [../]
  [./incslip_y]
    type = PenetrationAux
    variable = inc_slip_y
    quantity = incremental_slip_y
    boundary = 3
    paired_boundary = 2
  [../]
  [./accum_slip_x]
    type = AccumulateAux
    variable = accum_slip_x
    accumulate_from_variable = inc_slip_x
    execute_on = timestep_end
  [../]
  [./accum_slip_y]
    type = AccumulateAux
    variable = accum_slip_y
    accumulate_from_variable = inc_slip_y
    execute_on = timestep_end
  [../]
  [./penetration]
    type = PenetrationAux
    variable = penetration
    boundary = 3
    paired_boundary = 2
  [../]
[]

[BCs]
  [./botx]
    type = DirichletBC
    variable = disp_x
    boundary = 1
    value = 0.0
  [../]
  [./boty]
    type = DirichletBC
    variable = disp_y
    boundary = 1
    value = 0.0
  [../]
  [./botx2]
    type = DirichletBC
    variable = disp_x
    boundary = 2
    value = 0.0
  [../]
  [./boty2]
    type = DirichletBC
    variable = disp_y
    boundary = 2
    value = 0.0
  [../]
  [./topx]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 4
    function = horizontal_movement
  [../]
  [./topy]
    type = DirichletBC
    variable = disp_y
    boundary = 4
    value = -0.005
  [../]
[]

[Materials]
  [./bottom]
    type = ComputeIsotropicElasticityTensor
    block = '1'
    youngs_modulus = 1.0e9
    poissons_ratio = 0.3
  [../]
  [./stress]
    type = ComputeFiniteStrainElasticStress
    block = '1 2'
  [../]
  [./top]
    type = ComputeIsotropicElasticityTensor
    block = '2'
    youngs_modulus = 1.0e6
    poissons_ratio = 0.3
  [../]
[]

[Postprocessors]
  [./bot_react_x]
    type = NodalSum
    variable = saved_x
    boundary = 1
  [../]
  [./bot_react_y]
    type = NodalSum
    variable = saved_y
    boundary = 1
  [../]
  [./top_react_x]
    type = NodalSum
    variable = saved_x
    boundary = 4
  [../]
  [./top_react_y]
    type = NodalSum
    variable = saved_y
    boundary = 4
  [../]
  [./ref_resid_x]
    type = NodalL2Norm
    execute_on = timestep_end
    variable = saved_x
  [../]
  [./ref_resid_y]
    type = NodalL2Norm
    execute_on = timestep_end
    variable = saved_y
  [../]
[]

[Executioner]
  type = Transient
  solve_type = 'PJFNK'

  petsc_options_iname = '-pc_type -pc_factor_mat_solver_type'
  petsc_options_value = 'lu    superlu_dist'

  line_search = 'none'

  l_max_its = 100
  nl_max_its = 200
  dt = 0.001
  end_time = 0.01
  num_steps = 1000
  nl_rel_tol = 1e-08
  nl_abs_tol = 1e-08
  dtmin = 0.001
  l_tol = 1e-3
[]

[Outputs]
  exodus = true
  print_linear_residuals = true
  perf_graph = true
  [./console]
    type = Console
    max_rows = 5
  [../]
[]

[Contact]
  [./leftright]
    primary = 2
    secondary = 3
    model = coulomb
    friction_coefficient = '0.25'
    formulation = tangential_penalty
    penalty = 1e10
  [../]
[]

[Dampers]
  [./contact_slip]
    type = ContactSlipDamper
    primary = '2'
    secondary = '3'
  [../]
[]

(modules/solid_mechanics/test/tests/capped_mohr_coulomb/small_deform9_cosserat.i)

# Using Cosserat with large layer thickness, so this should reduce to standard
# Using CappedMohrCoulombCosserat with tensile failure only
# A single unit element is stretched in a complicated way that
# the trial stress is
#        1.51515             0.8        0.666667
#            0.8        -3.74545    -1.85037e-17
#            0.7    -1.66533e-17        -1.27273
# with symmetric part
#        1.51515             0.8        0.6833
#            0.8        -3.74545    -1.85037e-17
#            0.6833  -1.66533e-17      -1.27273
#
# This has eigenvalues
# la = {-3.86844, 1.78368, -1.41827}
# and eigenvectors
#
# {0.15183, -0.987598, -0.03997},
# {-0.966321, -0.139815, -0.216044},
# {-0.207777, -0.0714259, 0.975565}}
#
# The tensile strength is 0.5 and Young=1 and Poisson=0.25,
# with E_0000/E_0011 = nu / (1 - nu) = 0.333333
# Using smoothing_tol=0.01, the return-map algorithm should
# return to stress_I = 0.5, which is a reduction of 1.28368, so
# stress_II = -1.41827 - 1.28368 * 0.33333 = -1.846
# stress_III = -3.86844 - 1.28368 * 0.33333 = -4.296
#
# The final stress symmetric stress is
#
# {0.29, 0.69, 0.51},
# {0.69, -4.19, -0.03},
# {0.51, -0.03, -1.74}
#
# and a final unsymmetric stress of
#
# {0.29, 0.69, 0.49},
# {0.69, -4.19, -0.03},
# {0.52, -0.03, -1.74}

[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]


[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
  Cosserat_rotations = 'wc_x wc_y wc_z'
[]

[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
  [./wc_x]
  [../]
  [./wc_y]
  [../]
[]

[Kernels]
  [./cx_elastic]
    type = CosseratStressDivergenceTensors
    variable = disp_x
    component = 0
  [../]
  [./cy_elastic]
    type = CosseratStressDivergenceTensors
    variable = disp_y
    component = 1
  [../]
  [./cz_elastic]
    type = CosseratStressDivergenceTensors
    variable = disp_z
    component = 2
  [../]
  [./x_couple]
    type = StressDivergenceTensors
    variable = wc_x
    displacements = 'wc_x wc_y wc_z'
    component = 0
    base_name = couple
  [../]
  [./y_couple]
    type = StressDivergenceTensors
    variable = wc_y
    displacements = 'wc_x wc_y wc_z'
    component = 1
    base_name = couple
  [../]
  [./x_moment]
    type = MomentBalancing
    variable = wc_x
    component = 0
  [../]
  [./y_moment]
    type = MomentBalancing
    variable = wc_y
    component = 1
  [../]
[]

[BCs]
  [./x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'front back'
    function = '3*x-y+z'
  [../]
  [./y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'front back'
    function = '3*x-4*y'
  [../]
  [./z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'front back'
    function = 'x-2*z'
  [../]
  [./wc_x]
    type = DirichletBC
    variable = wc_x
    boundary = 'front back'
    value = 0.0
  [../]
  [./wc_y]
    type = DirichletBC
    variable = wc_y
    boundary = 'front back'
    value = 0.0
  [../]
[]

[AuxVariables]
  [./wc_z]
  [../]
  [./stress_I]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_II]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_III]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_zx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_zy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f0]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f1]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f2]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./iter]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./intnl]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]

[AuxKernels]
  [./stress_I]
    type = RankTwoScalarAux
    scalar_type = MaxPrincipal
    rank_two_tensor = stress
    variable = stress_I
    selected_qp = 0
  [../]
  [./stress_II]
    type = RankTwoScalarAux
    scalar_type = MidPrincipal
    rank_two_tensor = stress
    variable = stress_II
    selected_qp = 0
  [../]
  [./stress_III]
    type = RankTwoScalarAux
    scalar_type = MinPrincipal
    rank_two_tensor = stress
    variable = stress_III
    selected_qp = 0
  [../]
  [./stress_xx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xx
    index_i = 0
    index_j = 0
  [../]
  [./stress_xy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xy
    index_i = 0
    index_j = 1
  [../]
  [./stress_xz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xz
    index_i = 0
    index_j = 2
  [../]
  [./stress_yx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yx
    index_i = 1
    index_j = 0
  [../]
  [./stress_yy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yy
    index_i = 1
    index_j = 1
  [../]
  [./stress_yz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yz
    index_i = 1
    index_j = 2
  [../]
  [./stress_zx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zx
    index_i = 2
    index_j = 0
  [../]
  [./stress_zy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zy
    index_i = 2
    index_j = 1
  [../]
  [./stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zz
    index_i = 2
    index_j = 2
  [../]
  [./f0_auxk]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 0
    variable = f0
  [../]
  [./f1_auxk]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 1
    variable = f1
  [../]
  [./f2_auxk]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 2
    variable = f2
  [../]
  [./iter]
    type = MaterialRealAux
    property = plastic_NR_iterations
    variable = iter
  [../]
  [./intnl_auxk]
    type = MaterialStdVectorAux
    property = plastic_internal_parameter
    index = 1
    variable = intnl
  [../]
[]

[Postprocessors]
  [./s_I]
    type = PointValue
    point = '0 0 0'
    variable = stress_I
  [../]
  [./s_II]
    type = PointValue
    point = '0 0 0'
    variable = stress_II
  [../]
  [./s_III]
    type = PointValue
    point = '0 0 0'
    variable = stress_III
  [../]
  [./s_xx]
    type = PointValue
    point = '0 0 0'
    variable = stress_xx
  [../]
  [./s_xy]
    type = PointValue
    point = '0 0 0'
    variable = stress_xy
  [../]
  [./s_xz]
    type = PointValue
    point = '0 0 0'
    variable = stress_xz
  [../]
  [./s_yx]
    type = PointValue
    point = '0 0 0'
    variable = stress_yx
  [../]
  [./s_yy]
    type = PointValue
    point = '0 0 0'
    variable = stress_yy
  [../]
  [./s_yz]
    type = PointValue
    point = '0 0 0'
    variable = stress_yz
  [../]
  [./s_zx]
    type = PointValue
    point = '0 0 0'
    variable = stress_zx
  [../]
  [./s_zy]
    type = PointValue
    point = '0 0 0'
    variable = stress_zy
  [../]
  [./s_zz]
    type = PointValue
    point = '0 0 0'
    variable = stress_zz
  [../]
  [./f0]
    type = PointValue
    point = '0 0 0'
    variable = f0
  [../]
  [./f1]
    type = PointValue
    point = '0 0 0'
    variable = f1
  [../]
  [./f2]
    type = PointValue
    point = '0 0 0'
    variable = f2
  [../]
  [./iter]
    type = PointValue
    point = '0 0 0'
    variable = iter
  [../]
  [./intnl]
    type = PointValue
    point = '0 0 0'
    variable = intnl
  [../]
[]

[UserObjects]
  [./ts]
    type = SolidMechanicsHardeningConstant
    value = 0.5
  [../]
  [./cs]
    type = SolidMechanicsHardeningConstant
    value = 1E6
  [../]
  [./coh]
    type = SolidMechanicsHardeningConstant
    value = 1E6
  [../]
  [./ang]
    type = SolidMechanicsHardeningConstant
    value = 30
    convert_to_radians = true
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeLayeredCosseratElasticityTensor
    young = 1
    poisson = 0.25
    layer_thickness = 1.0
    joint_normal_stiffness = 1.0
    joint_shear_stiffness = 2.0
  [../]
  [./strain]
    type = ComputeCosseratIncrementalSmallStrain
  [../]
  [./tensile]
    type = CappedMohrCoulombCosseratStressUpdate
    tensile_strength = ts
    compressive_strength = cs
    cohesion = coh
    friction_angle = ang
    dilation_angle = ang
    smoothing_tol = 0.001
    yield_function_tol = 1.0E-12
    host_youngs_modulus = 1.0
    host_poissons_ratio = 0.25
  [../]
  [./stress]
    type = ComputeMultipleInelasticCosseratStress
    inelastic_models = tensile
    perform_finite_strain_rotations = false
  [../]
[]


[Executioner]
  end_time = 1
  dt = 1
  nl_abs_tol = 1E-10
  type = Transient
[]


[Outputs]
  file_base = small_deform9_cosserat
  csv = true
[]

(modules/solid_mechanics/test/tests/weak_plane_tensile/large_deform2.i)

# large strain with weak-plane normal rotating with mesh
# First rotate mesh 45deg about x axis
# Then apply stretch in the y=z direction.
# This should create a pure tensile load (no shear), which
# should return to the yield surface.
[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]

[Mesh]
  type = GeneratedMesh
  dim = 3
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]

[Physics/SolidMechanics/QuasiStatic/all]
  strain = FINITE
  add_variables = true
  generate_output = 'stress_xx stress_yy stress_yz stress_zz'
[]

[BCs]
  # rotate:
  # ynew = c*y + s*z.  znew = -s*y + c*z
  [bottomx]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = back
    function = '0'
  []
  [bottomy]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = back
    function = '0.70710678*y+0.70710678*z-y'
  []
  [bottomz]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = back
    function = '-0.70710678*y+0.70710678*z-z'
  []

  [topx]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = front
    function = '0'
  []
  [topy]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = front
    function = '0.70710678*y+0.70710678*z-y+if(t>0,1,0)'
  []
  [topz]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = front
    function = '-0.70710678*y+0.70710678*z-z+if(t>0,1,0)'
  []
[]

[AuxVariables]
  [yield_fcn]
    order = CONSTANT
    family = MONOMIAL
  []
[]

[AuxKernels]
  [yield_fcn_auxk]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 0
    variable = yield_fcn
  []
[]

[Postprocessors]
  [s_xx]
    type = PointValue
    point = '0 0 0'
    variable = stress_xx
  []
  [s_yy]
    type = PointValue
    point = '0 0 0'
    variable = stress_yy
  []
  [s_yz]
    type = PointValue
    point = '0 0 0'
    variable = stress_yz
  []
  [s_zz]
    type = PointValue
    point = '0 0 0'
    variable = stress_zz
  []
  [f]
    type = PointValue
    point = '0 0 0'
    variable = yield_fcn
  []
[]

[UserObjects]
  [str]
    type = SolidMechanicsHardeningConstant
    value = 1.0E6
  []
  [wpt]
    type = SolidMechanicsPlasticWeakPlaneTensile
    tensile_strength = str
    yield_function_tolerance = 1E-7
    internal_constraint_tolerance = 1E-5
  []
[]

[Materials]
  [elasticity_tensor]
    type = ComputeElasticityTensor
    fill_method = symmetric_isotropic
    C_ijkl = '0 1E7'
  []
  [mc]
    type = ComputeMultiPlasticityStress
    plastic_models = wpt
    transverse_direction = '0 0 1'
    ep_plastic_tolerance = 1E-9
  []
[]

[Executioner]
  start_time = -1
  end_time = 1
  dt = 1
  type = Transient
[]

[Outputs]
  exodus = true
[]

(modules/solid_mechanics/test/tests/lagrangian/materials/correctness/stvenantkirchhoff.i)

# Simple 3D test

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
  large_kinematics = true
[]

[Variables]
  [disp_x]
  []
  [disp_y]
  []
  [disp_z]
  []
[]

[Mesh]
  [msh]
    type = GeneratedMeshGenerator
    dim = 3
    nx = 1
    ny = 1
    nz = 1
  []
[]

[Kernels]
  [sdx]
    type = TotalLagrangianStressDivergence
    variable = disp_x
    component = 0
  []
  [sdy]
    type = TotalLagrangianStressDivergence
    variable = disp_y
    component = 1
  []
  [sdz]
    type = TotalLagrangianStressDivergence
    variable = disp_z
    component = 2
  []
[]

[Functions]
  [strain]
    type = ParsedFunction
    expression = 't'
  []
[]

[BCs]
  [leftx]
    type = DirichletBC
    preset = true
    boundary = left
    variable = disp_x
    value = 0.0
  []
  [boty]
    type = DirichletBC
    preset = true
    boundary = bottom
    variable = disp_y
    value = 0.0
  []
  [backz]
    type = DirichletBC
    preset = true
    boundary = back
    variable = disp_z
    value = 0.0
  []

  [pull_x]
    type = FunctionDirichletBC
    boundary = right
    variable = disp_x
    function = strain
  []
[]

[Materials]
  [elastic_tensor]
    type = ComputeIsotropicElasticityTensor
    shear_modulus = 67000.0
    lambda = 40000.0
  []
  [compute_stress]
    type = ComputeStVenantKirchhoffStress
  []
  [compute_strain]
    type = ComputeLagrangianStrain
  []
[]

[Preconditioning]
  [smp]
    type = SMP
    full = true
  []
[]

[AuxVariables]
  [s11]
    family = MONOMIAL
    order = CONSTANT
  []
  [s21]
    family = MONOMIAL
    order = CONSTANT
  []
  [s31]
    family = MONOMIAL
    order = CONSTANT
  []
  [s12]
    family = MONOMIAL
    order = CONSTANT
  []
  [s22]
    family = MONOMIAL
    order = CONSTANT
  []
  [s32]
    family = MONOMIAL
    order = CONSTANT
  []
  [s13]
    family = MONOMIAL
    order = CONSTANT
  []
  [s23]
    family = MONOMIAL
    order = CONSTANT
  []
  [s33]
    family = MONOMIAL
    order = CONSTANT
  []

  [F11]
    family = MONOMIAL
    order = CONSTANT
  []
  [F21]
    family = MONOMIAL
    order = CONSTANT
  []
  [F31]
    family = MONOMIAL
    order = CONSTANT
  []
  [F12]
    family = MONOMIAL
    order = CONSTANT
  []
  [F22]
    family = MONOMIAL
    order = CONSTANT
  []
  [F32]
    family = MONOMIAL
    order = CONSTANT
  []
  [F13]
    family = MONOMIAL
    order = CONSTANT
  []
  [F23]
    family = MONOMIAL
    order = CONSTANT
  []
  [F33]
    family = MONOMIAL
    order = CONSTANT
  []
[]

[AuxKernels]
  [s11]
    type = RankTwoAux
    variable = s11
    rank_two_tensor = pk1_stress
    index_i = 0
    index_j = 0
  []
  [s21]
    type = RankTwoAux
    variable = s21
    rank_two_tensor = pk1_stress
    index_i = 1
    index_j = 0
  []
  [s31]
    type = RankTwoAux
    variable = s31
    rank_two_tensor = pk1_stress
    index_i = 2
    index_j = 0
  []
  [s12]
    type = RankTwoAux
    variable = s12
    rank_two_tensor = pk1_stress
    index_i = 0
    index_j = 1
  []
  [s22]
    type = RankTwoAux
    variable = s22
    rank_two_tensor = pk1_stress
    index_i = 1
    index_j = 1
  []
  [s32]
    type = RankTwoAux
    variable = s32
    rank_two_tensor = pk1_stress
    index_i = 2
    index_j = 1
  []
  [s13]
    type = RankTwoAux
    variable = s13
    rank_two_tensor = pk1_stress
    index_i = 0
    index_j = 2
  []
  [s23]
    type = RankTwoAux
    variable = s23
    rank_two_tensor = pk1_stress
    index_i = 1
    index_j = 2
  []
  [s33]
    type = RankTwoAux
    variable = s33
    rank_two_tensor = pk1_stress
    index_i = 2
    index_j = 2
  []

  [F11]
    type = RankTwoAux
    variable = F11
    rank_two_tensor = deformation_gradient
    index_i = 0
    index_j = 0
  []
  [F21]
    type = RankTwoAux
    variable = F21
    rank_two_tensor = deformation_gradient
    index_i = 1
    index_j = 0
  []
  [F31]
    type = RankTwoAux
    variable = F31
    rank_two_tensor = deformation_gradient
    index_i = 2
    index_j = 0
  []
  [F12]
    type = RankTwoAux
    variable = F12
    rank_two_tensor = deformation_gradient
    index_i = 0
    index_j = 1
  []
  [F22]
    type = RankTwoAux
    variable = F22
    rank_two_tensor = deformation_gradient
    index_i = 1
    index_j = 1
  []
  [F32]
    type = RankTwoAux
    variable = F32
    rank_two_tensor = deformation_gradient
    index_i = 2
    index_j = 1
  []
  [F13]
    type = RankTwoAux
    variable = F13
    rank_two_tensor = deformation_gradient
    index_i = 0
    index_j = 2
  []
  [F23]
    type = RankTwoAux
    variable = F23
    rank_two_tensor = deformation_gradient
    index_i = 1
    index_j = 2
  []
  [F33]
    type = RankTwoAux
    variable = F33
    rank_two_tensor = deformation_gradient
    index_i = 2
    index_j = 2
  []
[]

[Postprocessors]
  [s11]
    type = ElementAverageValue
    variable = s11
    execute_on = 'initial timestep_end'
  []
  [s21]
    type = ElementAverageValue
    variable = s21
    execute_on = 'initial timestep_end'
  []
  [s31]
    type = ElementAverageValue
    variable = s31
    execute_on = 'initial timestep_end'
  []
  [s12]
    type = ElementAverageValue
    variable = s12
    execute_on = 'initial timestep_end'
  []
  [s22]
    type = ElementAverageValue
    variable = s22
    execute_on = 'initial timestep_end'
  []
  [s32]
    type = ElementAverageValue
    variable = s32
    execute_on = 'initial timestep_end'
  []
  [s13]
    type = ElementAverageValue
    variable = s13
    execute_on = 'initial timestep_end'
  []
  [s23]
    type = ElementAverageValue
    variable = s23
    execute_on = 'initial timestep_end'
  []
  [s33]
    type = ElementAverageValue
    variable = s33
    execute_on = 'initial timestep_end'
  []

  [F11]
    type = ElementAverageValue
    variable = F11
    execute_on = 'initial timestep_end'
  []
  [F21]
    type = ElementAverageValue
    variable = F21
    execute_on = 'initial timestep_end'
  []
  [F31]
    type = ElementAverageValue
    variable = F31
    execute_on = 'initial timestep_end'
  []
  [F12]
    type = ElementAverageValue
    variable = F12
    execute_on = 'initial timestep_end'
  []
  [F22]
    type = ElementAverageValue
    variable = F22
    execute_on = 'initial timestep_end'
  []
  [F32]
    type = ElementAverageValue
    variable = F32
    execute_on = 'initial timestep_end'
  []
  [F13]
    type = ElementAverageValue
    variable = F13
    execute_on = 'initial timestep_end'
  []
  [F23]
    type = ElementAverageValue
    variable = F23
    execute_on = 'initial timestep_end'
  []
  [F33]
    type = ElementAverageValue
    variable = F33
    execute_on = 'initial timestep_end'
  []
[]

[Executioner]
  type = Transient

  solve_type = 'newton'
  line_search = none

  petsc_options_iname = '-pc_type'
  petsc_options_value = 'lu'

  l_max_its = 2
  l_tol = 1e-14
  nl_max_its = 5
  nl_rel_tol = 1e-8
  nl_abs_tol = 1e-10

  start_time = 0.0
  dt = 0.01
  dtmin = 0.01
  end_time = 0.01
[]

[Outputs]
  exodus = false
  csv = true
[]

(test/tests/misc/check_error/uo_pps_name_collision_test.i)

[Mesh]
  type = GeneratedMesh
  dim = 2
  xmin = 0
  xmax = 1
  ymin = 0
  ymax = 1
  nx = 5
  ny = 5
  elem_type = QUAD4
[]

[UserObjects]
  [./ud]
    type = MTUserObject
    scalar = 2
    vector = '9 7 5'
  [../]
[]

[Functions]
  [./forcing_fn]
    type = ParsedFunction
    expression = -2
  [../]

  [./exact_fn]
    type = ParsedFunction
    expression = x*x
  [../]
[]

[Variables]
  [./u]
    family = LAGRANGE
    order = FIRST
  [../]
[]

[Kernels]
  [./diff]
    type = Diffusion
    variable = u
  [../]
  [./ffn]
    type = UserObjectKernel
    variable = u
    user_object = ud
  []
[]

[BCs]
  [./all]
    type = FunctionDirichletBC
    variable = u
    function = exact_fn
    boundary = '0 1 2 3'
  [../]
[]

[Executioner]
  type = Steady
  solve_type = 'PJFNK'
[]

[Postprocessors]
  [./ud]
    type = NumDOFs
  []
[]

[Outputs]
  execute_on = 'timestep_end'
  file_base = out
[]

(modules/contact/test/tests/mortar_aux_kernels/block-dynamics-aux-fretting-wear-test-action.i)

starting_point = 0.5e-1
offset = -0.045

[GlobalParams]
  displacements = 'disp_x disp_y'
[]

[Mesh]
  [file]
    type = FileMeshGenerator
    file = long-bottom-block-1elem-blocks.e
  []
  [remote]
    type = BlockDeletionGenerator
    input = file
    block = '3 4'
  []
[]

[Variables]
  [disp_x]
    block = '1 2'
  []
  [disp_y]
    block = '1 2'
  []
[]

[Problem]
  material_coverage_check = false
  kernel_coverage_check = false
[]

[ICs]
  [disp_y]
    block = 2
    variable = disp_y
    value = '${fparse starting_point + offset}'
    type = ConstantIC
  []
[]

[Physics/SolidMechanics/Dynamic]
  [all]
    hht_alpha = 0.0
    newmark_beta = 0.25
    newmark_gamma = 0.5
    mass_damping_coefficient = 0.0
    stiffness_damping_coefficient = 1.0
    accelerations = 'accel_x accel_y'
    generate_output = 'stress_xx stress_yy'
    block = '1 2'
    strain = FINITE
    density = density
  []
[]

[Materials]
  [elasticity_2]
    type = ComputeIsotropicElasticityTensor
    block = '2'
    youngs_modulus = 1e6
    poissons_ratio = 0.3
  []
  [elasticity_1]
    type = ComputeIsotropicElasticityTensor
    block = '1'
    youngs_modulus = 1e8
    poissons_ratio = 0.3
  []
  [stress]
    type = ComputeFiniteStrainElasticStress
    block = '1 2'
  []
  [density]
    type = GenericConstantMaterial
    block = '1 2'
    prop_names = 'density'
    prop_values = '7750'
  []
[]

[AuxVariables]
  [worn_depth]
    block = 'normal_secondary_subdomain'
  []
  [gap_vel]
    block = 'normal_secondary_subdomain'
  []
  [vel_x]
    order = FIRST
    family = LAGRANGE
  []
  [vel_y]
    order = FIRST
    family = LAGRANGE
  []
  [accel_x]
    order = FIRST
    family = LAGRANGE
  []
  [accel_y]
    order = FIRST
    family = LAGRANGE
  []
[]

[AuxKernels]
  [gap_vel]
    type = WeightedGapVelAux
    variable = gap_vel
    primary_boundary = 20
    secondary_boundary = 10
    primary_subdomain = normal_primary_subdomain
    secondary_subdomain = normal_secondary_subdomain
    disp_x = disp_x
    disp_y = disp_y
  []
  [worn_depth]
    type = MortarArchardsLawAux
    variable = worn_depth
    primary_boundary = 20
    secondary_boundary = 10
    primary_subdomain = normal_primary_subdomain
    secondary_subdomain = normal_secondary_subdomain
    displacements = 'disp_x disp_y'
    friction_coefficient = 0.5
    energy_wear_coefficient = 1.0e-6
    normal_pressure = normal_normal_lm
    execute_on = 'TIMESTEP_END'
  []
[]

[Contact]
  [normal]
    formulation = mortar
    model = coulomb
    primary = 20
    secondary = 10
    c_normal = 1e+06
    c_tangential = 1.0e+6
    capture_tolerance = 1.0e-5
    newmark_beta = 0.25
    newmark_gamma = 0.5
    mortar_dynamics = true
    wear_depth = worn_depth
    friction_coefficient = 0.5
    normalize_c = true
  []
[]

[BCs]
  [botx]
    type = DirichletBC
    variable = disp_x
    boundary = 40
    value = 0.0
  []
  [boty]
    type = DirichletBC
    variable = disp_y
    boundary = 40
    value = 0.0
  []
  [topy]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 30
    function = '${starting_point} * cos(4.0 * pi / 4 * t) + ${offset}'
  []
  [leftx]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 50
    function = '1e-2 * (cos(32.0 * pi / 4 * t) - 1.0)'
  []
[]

[Executioner]
  type = Transient
  end_time = 0.5
  dt = 0.05
  dtmin = .002
  solve_type = 'NEWTON'
  petsc_options = '-snes_converged_reason -ksp_converged_reason -pc_svd_monitor '
                  '-snes_linesearch_monitor -snes_ksp_ew'
  petsc_options_iname = '-pc_type -pc_factor_mat_solver_type -pc_factor_shift_type '
                        '-pc_factor_shift_amount'
  petsc_options_value = 'lu       superlu_dist                  NONZERO               1e-15'
  nl_max_its = 40
  l_max_its = 15
  line_search = 'l2'
  snesmf_reuse_base = true

  [TimeIntegrator]
    type = NewmarkBeta
    beta = 0.25
    gamma = 0.5
  []
[]

[Debug]
  show_var_residual_norms = true
[]

[Outputs]
  exodus = true
  checkpoint = true
[]

[Preconditioning]
  [smp]
    type = SMP
    full = true
  []
[]

[Postprocessors]
  active = 'num_nl cumulative contact'
  [num_nl]
    type = NumNonlinearIterations
  []
  [cumulative]
    type = CumulativeValuePostprocessor
    postprocessor = num_nl
  []
  [contact]
    type = ContactDOFSetSize
    variable = normal_normal_lm
    subdomain = '3'
    execute_on = 'nonlinear timestep_end'
  []
[]

(modules/combined/test/tests/elastic_patch/ad_elastic_patch_rz_nonlinear.i)

#
# This problem is taken from the Abaqus verification manual:
#   "1.5.4 Patch test for axisymmetric elements"
# The stress solution is given as:
#   xx = yy = zz = 19900
#   xy = 0
#
# If strain = log(1+1e-2) = 0.00995033...
# then
# stress = E/(1+PR)/(1-2*PR)*(1-PR +PR +PR)*strain = 19900.6617
# with E = 1e6 and PR = 0.25.
#
# The code computes stress = 19900.6617 when
# increment_calculation = eigen.  There is a small error when the
# rashidapprox option is used.
#
# Since the strain is 1e-3 in all three directions, the new density should be
#   new_density = original_density * V_0 / V
#   new_density = 0.283 / (1 + 9.95e-3 + 9.95e-3 + 9,95e-3) = 0.2747973
#
# The code computes a new density of .2746770


[GlobalParams]
  displacements = 'disp_x disp_y'
  temperature = temp
[]

[Problem]
  coord_type = RZ
[]

[Mesh]
  file = elastic_patch_rz.e
[]

[Variables]
  [temp]
    initial_condition = 117.56
  []
[]

[Physics/SolidMechanics/QuasiStatic/All]
  strain = FINITE
  decomposition_method = EigenSolution
  add_variables = true
  generate_output = 'stress_xx stress_yy stress_zz stress_xy stress_yz stress_zx'
[]

[Kernels]
  [heat]
    type = TimeDerivative
    variable = temp
  []
[]

[BCs]
  [ur]
    type = FunctionDirichletBC
    variable = disp_x
    preset = false
    boundary = 10
    function = '1e-2*x'
  []
  [uz]
    type = FunctionDirichletBC
    variable = disp_y
    preset = false
    boundary = 10
    function = '1e-2*y'
  []
[]

[Materials]
  [elasticity_tensor]
    type = ComputeIsotropicElasticityTensor
    youngs_modulus = 1e6
    poissons_ratio = 0.25
  []
  [stress]
    type = ComputeFiniteStrainElasticStress
  []
[]

[Materials]
  [density]
    type = ADDensity
    density = 0.283
    outputs = all
  []
[]

[Executioner]
  type = Transient
  solve_type = Newton

  end_time = 1.0
[]

[Outputs]
  exodus = true
[]

(modules/solid_mechanics/test/tests/tensile/small_deform_hard3_update_version.i)

# checking for small deformation, with cubic hardening
# A single element is repeatedly stretched by in z direction
# tensile_strength is set to 1Pa, tensile_strength_residual = 0.5Pa, and limit value = 1E-5
# This allows the hardening of the tensile strength to be observed

[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]


[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]

[Physics/SolidMechanics/QuasiStatic]
  [./all]
    add_variables = true
    incremental = true
    strain = finite
    generate_output = 'max_principal_stress mid_principal_stress min_principal_stress'
  [../]
[]

[BCs]
  [./x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'front back'
    function = '0'
  [../]
  [./y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'front back'
    function = '0'
  [../]
  [./z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'front back'
    function = '1E-6*z*t'
  [../]
[]

[AuxVariables]
  [./yield_fcn]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./iter]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./intnl]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]

[AuxKernels]
  [./yield_fcn_auxk]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 0
    variable = yield_fcn
  [../]
  [./iter_auxk]
    type = MaterialRealAux
    property = plastic_NR_iterations
    variable = iter
  [../]
  [./intnl_auxk]
    type = MaterialStdVectorAux
    property = plastic_internal_parameter
    index = 0
    variable = intnl
  [../]
[]

[Postprocessors]
  [./s_I]
    type = PointValue
    point = '0 0 0'
    variable = max_principal_stress
  [../]
  [./s_II]
    type = PointValue
    point = '0 0 0'
    variable = mid_principal_stress
  [../]
  [./s_III]
    type = PointValue
    point = '0 0 0'
    variable = min_principal_stress
  [../]
  [./f]
    type = PointValue
    point = '0 0 0'
    variable = yield_fcn
  [../]
  [./iter]
    type = PointValue
    point = '0 0 0'
    variable = iter
  [../]
  [./intnl]
    type = PointValue
    point = '0 0 0'
    variable = intnl
  [../]
[]

[UserObjects]
  [./ts]
    type = SolidMechanicsHardeningCubic
    value_0 = 1.0
    value_residual = 0.5
    internal_0 = 0
    internal_limit = 1E-5
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    fill_method = symmetric_isotropic
    C_ijkl = '0 2.0E6'
  [../]
  [./tensile]
    type = TensileStressUpdate
    tensile_strength = ts
    smoothing_tol = 0.0
    yield_function_tol = 1.0E-12
  [../]
  [./stress]
    type = ComputeMultipleInelasticStress
    inelastic_models = tensile
    perform_finite_strain_rotations = false
  [../]
[]


[Executioner]
  end_time = 10
  dt = 1.0
  type = Transient
[]


[Outputs]
  file_base = small_deform_hard3_update_version
  exodus = false
  [./csv]
    type = CSV
  [../]
[]

(modules/solid_mechanics/examples/hyper_elastic_test.i)

[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 5
  ny = 5
  nz = 5
  use_displaced_mesh = false
[]

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]

[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
[]

[Functions]
  [./top_displacement]
    type = ParsedFunction
    expression = t
  [../]
[]

[BCs]
  [./bottom_x]
    type = DirichletBC
    variable = 'disp_x'
    boundary = bottom
    value = 0
  [../]
  [./bottom_y]
    type = DirichletBC
    variable = 'disp_y'
    boundary = bottom
    value = 0
  [../]
  [./bottom_z]
    type = DirichletBC
    variable = 'disp_z'
    boundary = bottom
    value = 0
  [../]

  [./top_x]
    type = DirichletBC
    variable = 'disp_x'
    boundary = top
    value = 0
  [../]
  [./top_y]
    type = FunctionDirichletBC
    variable = 'disp_y'
    boundary = top
    function = top_displacement
  [../]
  [./top_z]
    type = DirichletBC
    variable = 'disp_z'
    boundary = top
    value = 0
  [../]
[]

[Kernels]
  [./x]
    type = ADStressDivergenceTensors
    variable = disp_x
    component = 0
  [../]
  [./y]
    type = ADStressDivergenceTensors
    variable = disp_y
    component = 1
  [../]
  [./z]
    type = ADStressDivergenceTensors
    variable = disp_z
    component = 2
  [../]
[]

[Materials]
  [./rubber_elasticity]
    type = ComputeIsotropicElasticityTensor
    # lambda = 1.2e7
    # shear_modulus = 1.2e7
    youngs_modulus = 1
    poissons_ratio = 0.45 # the closer this gets to 0.5 the worse the problem becomes
  [../]
[]

[Materials]
  [./strain]
    type = ADComputeGreenLagrangeStrain
  [../]
  [./stress]
    type = ADComputeLinearElasticStress
  [../]
[]

[Preconditioning]
  [./smp]
    type = SMP
    full = true
  [../]
[]

[Executioner]
  type = Transient
  solve_type = NEWTON
  dt = 0.05
  dtmin = 0.05
  nl_abs_tol = 1e-10
  num_steps = 500
[]

[Outputs]
  execute_on = 'INITIAL TIMESTEP_END'
  exodus = true
  print_linear_residuals = false
[]

(modules/contact/test/tests/verification/hertz_cyl/half_symm_q8/hertz_cyl_half_1deg_template1.i)

[GlobalParams]
  order = SECOND
  volumetric_locking_correction = false
  displacements = 'disp_x disp_y'
[]

[Mesh]
  file = hertz_cyl_half_1deg.e
[]

[Problem]
  type = ReferenceResidualProblem
  extra_tag_vectors = 'ref'
  reference_vector = 'ref'
[]

[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
[]

[AuxVariables]
  [./stress_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./saved_x]
  [../]
  [./saved_y]
  [../]
  [./diag_saved_x]
  [../]
  [./diag_saved_y]
  [../]
  [./inc_slip_x]
  [../]
  [./inc_slip_y]
  [../]
  [./accum_slip_x]
  [../]
  [./accum_slip_y]
  [../]
  [./tang_force_x]
  [../]
  [./tang_force_y]
  [../]
[]

[Functions]
  [./disp_ramp_vert]
    type = PiecewiseLinear
    x = '0. 1. 3.5'
    y = '0. -0.0020 -0.0020'
  [../]
  [./disp_ramp_horz]
    type = PiecewiseLinear
    x = '0. 1. 3.5'
    y = '0. 0.0 0.0014'
  [../]
[]

[Kernels]
  [./TensorMechanics]
    use_displaced_mesh = true
    save_in = 'saved_x saved_y'
    extra_vector_tags = 'ref'
  [../]
[]

[AuxKernels]
  [./stress_xx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xx
    index_i = 0
    index_j = 0
    execute_on = timestep_end
  [../]
  [./stress_yy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yy
    index_i = 1
    index_j = 1
    execute_on = timestep_end
  [../]
  [./stress_xy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xy
    index_i = 0
    index_j = 1
    execute_on = timestep_end
  [../]
  [./inc_slip_x]
    type = PenetrationAux
    variable = inc_slip_x
    execute_on = timestep_end
    boundary = 3
    paired_boundary = 2
  [../]
  [./inc_slip_y]
    type = PenetrationAux
    variable = inc_slip_y
    execute_on = timestep_end
    boundary = 3
    paired_boundary = 2
  [../]
  [./accum_slip_x]
    type = PenetrationAux
    variable = accum_slip_x
    execute_on = timestep_end
    boundary = 3
    paired_boundary = 2
  [../]
  [./accum_slip_y]
    type = PenetrationAux
    variable = accum_slip_y
    execute_on = timestep_end
    boundary = 3
    paired_boundary = 2
  [../]
  [./tang_force_x]
    type = PenetrationAux
    variable = tang_force_x
    quantity = tangential_force_x
    boundary = 3
    paired_boundary = 2
  [../]
  [./tang_force_y]
    type = PenetrationAux
    variable = tang_force_y
    quantity = tangential_force_y
    boundary = 3
    paired_boundary = 2
  [../]
  [./penetration]
    type = PenetrationAux
    variable = penetration
    boundary = 3
    paired_boundary = 2
  [../]
[]

[Postprocessors]
  [./bot_react_x]
    type = NodalSum
    variable = saved_x
    boundary = 1
  [../]
  [./bot_react_y]
    type = NodalSum
    variable = saved_y
    boundary = 1
  [../]
  [./top_react_x]
    type = NodalSum
    variable = saved_x
    boundary = 4
  [../]
  [./top_react_y]
    type = NodalSum
    variable = saved_y
    boundary = 4
  [../]
  [./disp_x639]
    type = NodalVariableValue
    nodeid = 638
    variable = disp_x
  [../]
  [./disp_y639]
    type = NodalVariableValue
    nodeid = 638
    variable = disp_y
  [../]
  [./_dt]
    type = TimestepSize
  [../]
  [./num_lin_it]
    type = NumLinearIterations
  [../]
  [./num_nonlin_it]
    type = NumNonlinearIterations
  [../]
[]

[BCs]
  [./side_x]
    type = DirichletBC
    variable = disp_y
    boundary = '1 2'
    value = 0.0
  [../]
  [./bot_y]
    type = DirichletBC
    variable = disp_x
    boundary = '1 2'
    value = 0.0
  [../]
  [./top_y_disp]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 4
    function = disp_ramp_vert
  [../]
  [./top_x_disp]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 4
    function = disp_ramp_horz
  [../]
[]

[Materials]
  [./stuff1_elas_tens]
    type = ComputeIsotropicElasticityTensor
    block = '1'
    youngs_modulus = 1e10
    poissons_ratio = 0.0
  [../]
  [./stuff1_strain]
    type = ComputeFiniteStrain
    block = '1'
  [../]
  [./stuff1_stress]
    type = ComputeFiniteStrainElasticStress
    block = '1'
  [../]
  [./stuff2_elas_tens]
    type = ComputeIsotropicElasticityTensor
    block = '2'
    youngs_modulus = 1e6
    poissons_ratio = 0.3
  [../]
  [./stuff2_strain]
    type = ComputeFiniteStrain
    block = '2'
  [../]
  [./stuff2_stress]
    type = ComputeFiniteStrainElasticStress
    block = '2'
  [../]
  [./stuff3_elas_tens]
    type = ComputeIsotropicElasticityTensor
    block = '3'
    youngs_modulus = 1e6
    poissons_ratio = 0.3
  [../]
  [./stuff3_strain]
    type = ComputeFiniteStrain
    block = '3'
  [../]
  [./stuff3_stress]
    type = ComputeFiniteStrainElasticStress
    block = '3'
  [../]
  [./stuff4_elas_tens]
    type = ComputeIsotropicElasticityTensor
    block = '4'
    youngs_modulus = 1e6
    poissons_ratio = 0.3
  [../]
  [./stuff4_strain]
    type = ComputeFiniteStrain
    block = '4'
  [../]
  [./stuff4_stress]
    type = ComputeFiniteStrainElasticStress
    block = '4'
  [../]
  [./stuff5_elas_tens]
    type = ComputeIsotropicElasticityTensor
    block = '5'
    youngs_modulus = 1e6
    poissons_ratio = 0.3
  [../]
  [./stuff5_strain]
    type = ComputeFiniteStrain
    block = '5'
  [../]
  [./stuff5_stress]
    type = ComputeFiniteStrainElasticStress
    block = '5'
  [../]
  [./stuff6_elas_tens]
    type = ComputeIsotropicElasticityTensor
    block = '6'
    youngs_modulus = 1e6
    poissons_ratio = 0.3
  [../]
  [./stuff6_strain]
    type = ComputeFiniteStrain
    block = '6'
  [../]
  [./stuff6_stress]
    type = ComputeFiniteStrainElasticStress
    block = '6'
  [../]
  [./stuff7_elas_tens]
    type = ComputeIsotropicElasticityTensor
    block = '7'
    youngs_modulus = 1e6
    poissons_ratio = 0.3
  [../]
  [./stuff7_strain]
    type = ComputeFiniteStrain
    block = '7'
  [../]
  [./stuff7_stress]
    type = ComputeFiniteStrainElasticStress
    block = '7'
  [../]
[]

[Executioner]
  type = Transient
  solve_type = 'PJFNK'

  petsc_options_iname = '-pc_type -pc_factor_mat_solver_type'
  petsc_options_value = 'lu     superlu_dist'

  line_search = 'none'

  nl_abs_tol = 1e-6
  nl_rel_tol = 1e-5
  l_max_its = 100
  nl_max_its = 200

  start_time = 0.0
  end_time = 3.5
  l_tol = 1e-3
  dt = 0.1
  dtmin = 0.1
[]

[Preconditioning]
  [./SMP]
    type = SMP
    full = true
  [../]
[]

[VectorPostprocessors]
  [./x_disp]
    type = NodalValueSampler
    variable = disp_x
    boundary = '3 4'
    sort_by = id
  [../]
  [./y_disp]
    type = NodalValueSampler
    variable = disp_y
    boundary = '3 4'
    sort_by = id
  [../]
  [./cont_press]
    type = NodalValueSampler
    variable = contact_pressure
    boundary = '3'
    sort_by = id
  [../]
[]

[Outputs]
  print_linear_residuals = true
  perf_graph = true
  [./exodus]
    type = Exodus
    elemental_as_nodal = true
  [../]
  [./console]
    type = Console
    max_rows = 5
  [../]
  [./chkfile]
    type = CSV
    show = 'x_disp y_disp cont_press'
    start_time = 0.9
    execute_vector_postprocessors_on = timestep_end
  [../]
  [./chkfile2]
    type = CSV
    show = 'bot_react_x bot_react_y disp_x639 disp_y639 top_react_x top_react_y'
    start_time = 0.9
    execute_vector_postprocessors_on = timestep_end
  [../]
  [./outfile]
    type = CSV
    delimiter = ' '
    execute_vector_postprocessors_on = none
  [../]
[]

[Contact]
  [./interface]
    primary = 2
    secondary = 3
    normalize_penalty = true
    tangential_tolerance = 1e-3
    penalty = 1e+10
  [../]
[]

(modules/heat_transfer/test/tests/heat_conduction/min_gap/min_gap.i)

[Mesh]
  type = MeshGeneratorMesh
  displacements = 'disp_x disp_y'
  [./left_gen]
    type = GeneratedMeshGenerator
    dim = 2
    nx = 2
    ny = 3
    xmin = -3
    xmax = 0
    ymin = -5
    ymax = 5
  [../]
  [./right_gen]
    type = GeneratedMeshGenerator
    dim = 2
    nx = 2
    ny = 3
    xmin = 3
    xmax = 6
    ymin = -5
    ymax = 5
  [../]

  [./left_and_right]
    type = MeshCollectionGenerator
    inputs = 'left_gen right_gen'
  [../]
  [./leftleft]
    type = SideSetsAroundSubdomainGenerator
    block = 0
    new_boundary = leftleft
    normal = '-1 0 0'
    input = left_and_right
  [../]
  [./leftright]
    type = SideSetsAroundSubdomainGenerator
    block = 0
    new_boundary = leftright
    normal = '1 0 0'
    input = leftleft
  [../]

  [./right]
    type = SubdomainBoundingBoxGenerator
    top_right = '6 5 0'
    bottom_left = '3 -5 0'
    block_id = 1
    input = leftright
  [../]

  [./rightleft]
    type = SideSetsAroundSubdomainGenerator
    block = 1
    new_boundary = rightleft
    normal = '-1 0 0'
    input = right
  [../]
  [./rightright]
    type = SideSetsAroundSubdomainGenerator
    block = 1
    new_boundary = rightright
    normal = '1 0 0'
    input = rightleft
  [../]
[]

[Variables]
  [./temp]
  [../]
[]

[AuxVariables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./gap_conductance]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]

[Functions]
  [./disp_x]
    type = ParsedFunction
    expression = -3+t
  [../]
  [./left_temp]
    type = ParsedFunction
    expression = 1000+t
  [../]
[]

[Kernels]
  [./hc]
    type = HeatConduction
    variable = temp
  [../]
[]

[AuxKernels]
  [./disp_x]
    type = FunctionAux
    block = 1
    variable = disp_x
    function = disp_x
    execute_on = 'INITIAL TIMESTEP_END'
  [../]
  [./gap_conductivity]
    type = MaterialRealAux
    boundary = leftright
    property = gap_conductance
    variable = gap_conductance
    execute_on = 'INITIAL TIMESTEP_END'
  [../]
[]

[BCs]
  [./left]
    type = FunctionDirichletBC
    variable = temp
    boundary = leftleft
    function = left_temp
  [../]
  [./right]
    type = DirichletBC
    variable = temp
    boundary = rightright
    value = 400
  [../]
[]

[ThermalContact]
  [./left_to_right]
    secondary = leftright
    quadrature = true
    primary = rightleft
    variable = temp
    min_gap = 1
    min_gap_order = 1
    emissivity_primary = 0
    emissivity_secondary = 0
    type = GapHeatTransfer
  [../]
[]

[Materials]
  [./hcm]
    type = HeatConductionMaterial
    block = '0 1'
    specific_heat = 1
    thermal_conductivity = 1
    use_displaced_mesh = true
  [../]
[]

[Postprocessors]
  [./gap_conductance]
    type = PointValue
    point = '0 0 0'
    variable = gap_conductance
  [../]
[]

[Executioner]
  type = Transient
  dt = 0.25
  end_time = 3.0
  solve_type = 'PJFNK'
[]

[Outputs]
  csv = true
  execute_on = 'TIMESTEP_END'
[]

(modules/fsi/test/tests/fsi_acoustics/1D_struc_acoustic/1D_struc_acoustic.i)

# Test for `StructureAcousticInterface` interface kernel. The domain is 1D with 20m
# length. The fluid domain is on the right and the structural domain is on the left.
# Fluid end is subjected to a 250Hz sine wave with a single peak of amplitude unity.
# Structural domain is 4 times as dense as the fluid domain with all other material
# properties being the same. Fluid pressure is recorded at the midpoint in the fluid
# domain (i.e., at 15m). Structural stress is recorded at the midpoint in the structural
# domain (i.e., at 5m). The recorded pressure and stress amplitudes should match
# with theoretical values.
#
# Input parameters:
# Dimensions = 1
# Length = 20 meters
# Fluid speed of sound = 1500 m/s
# Fluid density = 1e-6 Giga kg/m^3
# Structural bulk modulus = 2.25 GPa
# Structural shear modulus = 0 GPa
# Structural density = 4e-6 Giga kg/m^3
# Fluid domain = true
# Fluid BC = single peak sine wave applied as a pressure on the fluid end
# Structural domain = true
# Structural BC = Neumann BC with value zero applied on the structural end.

[Mesh]
  [gen]
    type = GeneratedMeshGenerator
    dim = 1
    nx = 50
    xmax = 20
  []
  [./subdomain1]
    input = gen
    type = SubdomainBoundingBoxGenerator
    bottom_left = '10.0 0 0'
    block_id = 1
    top_right = '20.0 0.0 0'
  [../]
  [./interface1]
    type = SideSetsBetweenSubdomainsGenerator
    input = subdomain1
    primary_block = '1'
    paired_block = 0
    new_boundary = 'interface1'
  [../]
[]

[GlobalParams]
[]

[Variables]
  [./p]
    block = 1
  [../]
  [./disp_x]
    block = 0
  [../]
[]

[AuxVariables]
  [./vel_x]
    order = FIRST
    family = LAGRANGE
    block = 0
  [../]
  [./accel_x]
    order = FIRST
    family = LAGRANGE
    block = 0
  [../]
  [./stress_xx]
    order = CONSTANT
    family = MONOMIAL
    block = 0
  [../]
[]

[Kernels]
  [./diffusion]
    type = Diffusion
    variable = 'p'
    block = 1
  [../]
  [./inertia]
    type = AcousticInertia
    variable = p
    block = 1
  [../]
  [./DynamicTensorMechanics]
    displacements = 'disp_x'
    block = 0
  [../]
  [./inertia_x1]
    type = InertialForce
    variable = disp_x
    block = 0
  [../]
[]

[AuxKernels]
  [./accel_x]
    type = TestNewmarkTI
    displacement = disp_x
    variable = accel_x
    first = false
    block = 0
  [../]
  [./vel_x]
    type = TestNewmarkTI
    displacement = disp_x
    variable = vel_x
    block = 0
  [../]
  [./stress_xx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xx
    index_i = 0
    index_j = 0
    block = 0
  [../]
[]

[InterfaceKernels]
  [./interface1]
    type =  StructureAcousticInterface
    variable = p
    neighbor_var = disp_x
    boundary = 'interface1'
    D = 1e-6
    component = 0
  [../]
[]

[BCs]
  [./bottom_accel]
    type = FunctionDirichletBC
    variable = p
    boundary = 'right'
    function = accel_bottom
  [../]
  [./disp_x1]
    type = NeumannBC
    boundary = 'left'
    variable = disp_x
    value = 0.0
  [../]
[]

[Functions]
  [./accel_bottom]
    type = PiecewiseLinear
    data_file = Input_1Peak_highF.csv
    scale_factor = 1e-2
    format = 'columns'
  [../]
[]

[Materials]
  [./co_sq]
    type = GenericConstantMaterial
    prop_names = inv_co_sq
    prop_values = 4.44e-7
    block = '1'
  [../]
  [./density0]
    type = GenericConstantMaterial
    block = 0
    prop_names = density
    prop_values = 4e-6
  [../]
  [./elasticity_base]
    type = ComputeIsotropicElasticityTensor
    bulk_modulus = 2.25
    shear_modulus = 0.0
    block = 0
  [../]
  [./strain]
    type = ComputeFiniteStrain
    block = 0
    displacements = 'disp_x'
  [../]
  [./stress]
    type =  ComputeFiniteStrainElasticStress
    block = 0
  [../]
[]

[Preconditioning]
  [./andy]
    type = SMP
    full = true
  [../]
[]

[Executioner]
  type = Transient
  solve_type = 'NEWTON'
  petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
  petsc_options_value = 'lu       superlu_dist'
  start_time = 0.0
  end_time = 0.01
  dt = 0.0001
  dtmin = 0.00001
  nl_abs_tol = 1e-12
  nl_rel_tol = 1e-12
  l_tol = 1e-12
  l_max_its = 25
  timestep_tolerance = 1e-8
  automatic_scaling = true
  [TimeIntegrator]
    type = NewmarkBeta
  []
[]

[Postprocessors]
  [./p1]
    type = PointValue
    point = '10.0 0.0 0.0'
    variable = p
  [../]
  [./stress1]
    type = PointValue
    point = '10.0 0.0 0.0'
    variable = stress_xx
  [../]
[]

[Outputs]
  csv = true
  perf_graph = true
  print_linear_residuals = true
[]

(test/tests/outputs/debug/show_var_residual_norms.i)

[Mesh]
  type = GeneratedMesh
  dim = 2
  xmin = -1
  xmax = 1
  ymin = -1
  ymax = 1
  nx = 10
  ny = 10
  elem_type = QUAD9
[]

[Functions]
  [forcing_fnu]
    type = ParsedFunction
    expression = -5.8*(x+y)+x*x*x-x+y*y*y-y
  []
  [forcing_fnv]
    type = ParsedFunction
    expression = -4
  []

  [slnu]
    type = ParsedGradFunction
    expression = x*x*x-x+y*y*y-y
    grad_x = 3*x*x-1
    grad_y = 3*y*y-1
  []
  [slnv]
    type = ParsedGradFunction
    expression = x*x+y*y
    grad_x = 2*x
    grad_y = 2*y
  []

  #NeumannBC functions
  [bc_fnut]
    type = ParsedFunction
    expression = 3*y*y-1
  []
  [bc_fnub]
    type = ParsedFunction
    expression = -3*y*y+1
  []
  [bc_fnul]
    type = ParsedFunction
    expression = -3*x*x+1
  []
  [bc_fnur]
    type = ParsedFunction
    expression = 3*x*x-1
  []
[]

[Variables]
  [u]
    order = THIRD
    family = HIERARCHIC
  []
  [v]
    order = SECOND
    family = LAGRANGE
  []
[]

[Kernels]
  active = 'diff1 diff2 test1 forceu forcev react'
  [diff1]
    type = Diffusion
    variable = u
  []
  [test1]
    type = CoupledConvection
    variable = u
    velocity_vector = v
  []
  [diff2]
    type = Diffusion
    variable = v
  []
  [react]
    type = Reaction
    variable = u
  []

  [forceu]
    type = BodyForce
    variable = u
    function = forcing_fnu
  []
  [forcev]
    type = BodyForce
    variable = v
    function = forcing_fnv
  []

[]

[BCs]
  active = 'bc_u_tb bc_v bc_ul bc_ur bc_ut bc_ub'
  [bc_u]
    type = FunctionPenaltyDirichletBC
    variable = u
    function = slnu
    boundary = 'left right top bottom'
    penalty = 1e6
  []
  [bc_v]
    type = FunctionDirichletBC
    variable = v
    function = slnv
    boundary = 'left right top bottom'
  []

  [bc_u_lr]
    type = FunctionPenaltyDirichletBC
    variable = u
    function = slnu
    boundary = 'left right top bottom'
    penalty = 1e6
  []
  [bc_u_tb]
    type = CoupledKernelGradBC
    variable = u
    var2 = v
    vel = '0.1 0.1'
    boundary = 'top bottom left right'
  []

  [bc_ul]
    type = FunctionNeumannBC
    variable = u
    function = bc_fnul
    boundary = 'left'
  []
  [bc_ur]
    type = FunctionNeumannBC
    variable = u
    function = bc_fnur
    boundary = 'right'
  []
  [bc_ut]
    type = FunctionNeumannBC
    variable = u
    function = bc_fnut
    boundary = 'top'
  []
  [bc_ub]
    type = FunctionNeumannBC
    variable = u
    function = bc_fnub
    boundary = 'bottom'
  []
[]

[Preconditioning]
  active = ' '
  [prec]
    type = SMP
    full = true
  []
[]

[Postprocessors]
  active = 'L2u L2v'
  [dofs]
    type = NumDOFs
  []

  [h]
    type = AverageElementSize
  []

  [L2u]
    type = ElementL2Error
    variable = u
    function = slnu
  []
  [L2v]
    type = ElementL2Error
    variable = v
    function = slnv
  []
  [H1error]
    type = ElementH1Error
    variable = u
    function = solution
  []
  [H1Semierror]
    type = ElementH1SemiError
    variable = u
    function = solution
  []
[]

[Executioner]
  type = Steady
  solve_type = 'PJFNK'
  nl_rel_tol = 1e-15
  nl_abs_tol = 1e-13
[]

[Outputs]
  execute_on = 'timestep_end'
  [debug] # This is a test, use the [Debug] block to enable this
    type = VariableResidualNormsDebugOutput
  []
[]

(modules/combined/test/tests/phase_field_fracture/void2d_iso.i)

[Mesh]
  type = FileMesh
  file = void2d_mesh.xda
[]

[GlobalParams]
  displacements = 'disp_x disp_y'
[]

[Physics]
  [./SolidMechanics]
    [./QuasiStatic]
      [./All]
        add_variables = true
        strain = SMALL
        additional_generate_output = stress_yy
      [../]
    [../]
  [../]
[]
[Modules]
  [./PhaseField]
    [./Nonconserved]
      [./c]
        free_energy = F
        mobility = L
        kappa = kappa_op
      [../]
    [../]
  [../]
[]

[Functions]
  [./tfunc]
    type = ParsedFunction
    expression = t
  [../]
  [./void_prop_func]
    type = ParsedFunction
    expression = 'rad:=0.2;m:=50;r:=sqrt(x^2+y^2);1-exp(-(r/rad)^m)+1e-8'
  [../]
  [./gb_prop_func]
    type = ParsedFunction
    expression = 'rad:=0.2;thk:=0.05;m:=50;sgnx:=1-exp(-(x/rad)^m);v:=sgnx*exp(-(y/thk)^m);0.005*(1-v)+0.001*v'
  [../]
[]

[Kernels]
  [./solid_x]
    type = PhaseFieldFractureMechanicsOffDiag
    variable = disp_x
    component = 0
    c = c
  [../]
  [./solid_y]
    type = PhaseFieldFractureMechanicsOffDiag
    variable = disp_y
    component = 1
    c = c
  [../]
[]

[BCs]
  [./ydisp]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = top
    function = tfunc
  [../]
  [./yfix]
    type = DirichletBC
    variable = disp_y
    boundary = bottom
    value = 0
  [../]
  [./xfix]
    type = DirichletBC
    variable = disp_x
    boundary = left
    value = 0
  [../]
[]

[Materials]
  [./pfbulkmat]
    type = GenericConstantMaterial
    prop_names = 'l visco'
    prop_values = '0.01 0.1'
  [../]
  [./pfgc]
    type = GenericFunctionMaterial
    prop_names = 'gc_prop'
    prop_values = 'gb_prop_func'
  [../]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    C_ijkl = '120.0 80.0'
    fill_method = symmetric_isotropic
    elasticity_tensor_prefactor = void_prop_func
  [../]
  [./define_mobility]
    type = ParsedMaterial
    material_property_names = 'gc_prop visco'
    property_name = L
    expression = '1.0/(gc_prop * visco)'
  [../]
  [./define_kappa]
    type = ParsedMaterial
    material_property_names = 'gc_prop l'
    property_name = kappa_op
    expression = 'gc_prop * l'
  [../]
  [./damage_stress]
    type = ComputeLinearElasticPFFractureStress
    c = c
    E_name = 'elastic_energy'
    D_name = 'degradation'
    F_name = 'fracture_energy'
    decomposition_type = strain_spectral
  [../]
  [./degradation]
    type = DerivativeParsedMaterial
    property_name = degradation
    coupled_variables = 'c'
    expression = '(1.0-c)^2*(1.0 - eta) + eta'
    constant_names       = 'eta'
    constant_expressions = '0.0'
    derivative_order = 2
  [../]
  [./fracture_energy]
    type = DerivativeParsedMaterial
    property_name = fracture_energy
    coupled_variables = 'c'
    material_property_names = 'gc_prop l'
    expression = 'c^2 * gc_prop / 2 / l'
    derivative_order = 2
  [../]
  [./fracture_driving_energy]
    type = DerivativeSumMaterial
    coupled_variables = c
    sum_materials = 'elastic_energy fracture_energy'
    derivative_order = 2
    property_name = F
  [../]
[]

[Preconditioning]
  [./smp]
    type = SMP
    full = true
  [../]
[]

[Executioner]
  type = Transient
  solve_type = PJFNK

  petsc_options_iname = '-pc_type -sub_pc_type -pc_asm_overlap'
  petsc_options_value = 'asm      lu           1'

  nl_rel_tol = 1e-9
  nl_max_its = 10
  l_tol = 1e-4
  l_max_its = 40

  dt = 1e-4
  num_steps = 2
[]

[Outputs]
  exodus = true
[]

(test/tests/predictors/simple/predictor_test.i)

# The purpose of this test is to test the simple predictor.  This is a very
# small, monotonically loaded block of material.  If things are working right,
# the predictor should come very close to exactly nailing the solution on steps
# after the first step.

# The main thing to check here is that when the predictor is applied in the
# second step, the initial residual is almost zero.

[Mesh]
  type = GeneratedMesh
  dim = 2
  xmin = 0
  xmax = 1
  ymin = 0
  ymax = 1
  nx = 3
  ny = 3
[]

[Functions]
  [ramp1]
    type = ParsedFunction
    expression = 't'
  []
[]

[Variables]
  [u]
    order = FIRST
    family = LAGRANGE
  []
[]

[Kernels]
  [diff_u]
    type = Diffusion
    variable = u
  []
[]

[BCs]
  [bot]
    type = DirichletBC
    variable = u
    boundary = bottom
    value = 0.0
  []
  [ss2_x]
    type = FunctionDirichletBC
    variable = u
    boundary = top
    function = ramp1
  []
[]

[Executioner]
  type = Transient
  solve_type = 'PJFNK'

  nl_max_its = 15
  nl_rel_tol = 1e-14
  nl_abs_tol = 1e-14

  start_time = 0.0
  dt = 0.5
  end_time = 1.0

  [Predictor]
    type = SimplePredictor
    scale = 1.0
  []
[]

[Postprocessors]
  [final_residual]
    type = Residual
    residual_type = FINAL
  []
  [initial_residual]
    type = Residual
    residual_type = INITIAL
  []
[]

[Outputs]
  csv = true
[]

(test/tests/time_integrators/explicit-euler/ee-2d-linear.i)

[Mesh]
  type = GeneratedMesh
  dim = 2
  xmin = -1
  xmax = 1
  ymin = -1
  ymax = 1
  nx = 10
  ny = 10
  elem_type = QUAD4
[]

[Functions]
  [./ic]
    type = ParsedFunction
    expression = 0
  [../]

  [./forcing_fn]
    type = ParsedFunction
    expression = (x+y)
  [../]

  [./exact_fn]
    type = ParsedFunction
    expression = t*(x+y)
  [../]
[]

[Variables]
  [./u]
    order = FIRST
    family = LAGRANGE

    [./InitialCondition]
      type = FunctionIC
      function = ic
    [../]
  [../]
[]

[Kernels]
  [./ie]
    type = TimeDerivative
    variable = u
    lumping = true
    implicit = true
  [../]

  [./diff]
    type = Diffusion
    variable = u
    implicit = false
  [../]

  [./ffn]
    type = BodyForce
    variable = u
    function = forcing_fn
    implicit = false
  [../]
[]

[BCs]
  active = 'all'

  [./all]
    type = FunctionDirichletBC
    variable = u
    preset = false
    boundary = '0 1 2 3'
    function = exact_fn
    implicit = true
  [../]
[]

[Postprocessors]
  [./l2_err]
    type = ElementL2Error
    variable = u
    function = exact_fn
  [../]
[]

[Executioner]
  type = Transient
  scheme = 'explicit-euler'
  solve_type = 'LINEAR'

  start_time = 0.0
  num_steps = 20
  dt = 0.00005
[]

[Outputs]
  exodus = true
  [./console]
    type = Console
    max_rows = 10
  [../]
[]

(test/tests/geomsearch/3d_moving_penetration_smoothing/pl_test4ns.i)

[GlobalParams]
  order = FIRST
  family = LAGRANGE
[]

[Mesh]
  file = pl_test4.e
  displacements = 'disp_x disp_y disp_z'
[]

[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
[]

[AuxVariables]
  [./distance]
  [../]
  [./tangential_distance]
  [../]
  [./normal_x]
  [../]
  [./normal_y]
  [../]
  [./normal_z]
  [../]
  [./closest_point_x]
  [../]
  [./closest_point_y]
  [../]
  [./closest_point_z]
  [../]
#  [./element_id]
#  [../]
  [./side]
  [../]
[]

[Kernels]
  [./diff_x]
    type = Diffusion
    variable = disp_x
  [../]
  [./diff_y]
    type = Diffusion
    variable = disp_y
  [../]
  [./diff_z]
    type = Diffusion
    variable = disp_z
  [../]
[]

[AuxKernels]
  [./penetrate]
    type = PenetrationAux
    variable = distance
    boundary = 11            #secondary
    paired_boundary = 12     #primary
    normal_smoothing_distance = 0.2
  [../]

  [./penetrate2]
    type = PenetrationAux
    variable = distance
    boundary = 12            #secondary
    paired_boundary = 11     #primary
    normal_smoothing_distance = 0.2
  [../]

  [./penetrate3]
    type = PenetrationAux
    variable = tangential_distance
    boundary = 11
    paired_boundary = 12
    quantity = tangential_distance
  [../]

  [./penetrate4]
    type = PenetrationAux
    variable = tangential_distance
    boundary = 12
    paired_boundary = 11
    quantity = tangential_distance
  [../]

  [./penetrate5]
    type = PenetrationAux
    variable = normal_x
    boundary = 11
    paired_boundary = 12
    quantity = normal_x
  [../]

  [./penetrate6]
    type = PenetrationAux
    variable = normal_x
    boundary = 12
    paired_boundary = 11
    quantity = normal_x
  [../]

  [./penetrate7]
    type = PenetrationAux
    variable = normal_y
    boundary = 11
    paired_boundary = 12
    quantity = normal_y
  [../]

  [./penetrate8]
    type = PenetrationAux
    variable = normal_y
    boundary = 12
    paired_boundary = 11
    quantity = normal_y
  [../]

  [./penetrate9]
    type = PenetrationAux
    variable = normal_z
    boundary = 11
    paired_boundary = 12
    quantity = normal_z
  [../]

  [./penetrate10]
    type = PenetrationAux
    variable = normal_z
    boundary = 12
    paired_boundary = 11
    quantity = normal_z
  [../]

  [./penetrate11]
    type = PenetrationAux
    variable = closest_point_x
    boundary = 11
    paired_boundary = 12
    quantity = closest_point_x
  [../]

  [./penetrate12]
    type = PenetrationAux
    variable = closest_point_x
    boundary = 12
    paired_boundary = 11
    quantity = closest_point_x
  [../]

  [./penetrate13]
    type = PenetrationAux
    variable = closest_point_y
    boundary = 11
    paired_boundary = 12
    quantity = closest_point_y
  [../]

  [./penetrate14]
    type = PenetrationAux
    variable = closest_point_y
    boundary = 12
    paired_boundary = 11
    quantity = closest_point_y
  [../]

  [./penetrate15]
    type = PenetrationAux
    variable = closest_point_z
    boundary = 11
    paired_boundary = 12
    quantity = closest_point_z
  [../]

  [./penetrate16]
    type = PenetrationAux
    variable = closest_point_z
    boundary = 12
    paired_boundary = 11
    quantity = closest_point_z
  [../]

#  [./penetrate17]
#    type = PenetrationAux
#    variable = element_id
#    boundary = 11
#    paired_boundary = 12
#    quantity = element_id
#  [../]
#
#  [./penetrate18]
#    type = PenetrationAux
#    variable = element_id
#    boundary = 12
#    paired_boundary = 11
#    quantity = element_id
#  [../]

  [./penetrate19]
    type = PenetrationAux
    variable = side
    boundary = 11
    paired_boundary = 12
    quantity = side
  [../]

  [./penetrate20]
    type = PenetrationAux
    variable = side
    boundary = 12
    paired_boundary = 11
    quantity = side
  [../]
[]

[BCs]
  [./b1x]
    type = DirichletBC
    variable = disp_x
    preset = false
    boundary = 1
    value = 0
  [../]

  [./b1y]
    type = DirichletBC
    variable = disp_y
    preset = false
    boundary = 1
    value = 0
  [../]

  [./b1z]
    type = DirichletBC
    variable = disp_z
    preset = false
    boundary = 1
    value = 0
  [../]

  [./b2x]
    type = DirichletBC
    variable = disp_x
    preset = false
    boundary = 2
    value = 0
  [../]

  [./b2y]
    type = FunctionDirichletBC
    variable = disp_y
    preset = false
    boundary = 2
    function = disp_y
  [../]

  [./b2z]
    type = DirichletBC
    variable = disp_z
    preset = false
    boundary = 2
    value = 0
  [../]
[]

[Functions]
  [./disp_y]
    type = PiecewiseLinear
    x = '0.0 0.25 0.75 1.0'
    y = '0.0 2.0 -2.0  0.0'
  [../]
[]

[Executioner]
  type = Transient

  solve_type = 'PJFNK'
  petsc_options = '-snes_ksp_ew'

  nl_rel_tol = 1e-9
  l_max_its = 10

  start_time = 0.0
  dt = 0.02
  end_time = 1.0
[]

[Outputs]
  file_base = pl_test4ns_out
  exodus = true
[]

(modules/solid_mechanics/test/tests/crystal_plasticity/twinning/only_twinning_fcc.i)

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]

[Mesh]
  [cube]
    type = GeneratedMeshGenerator
    dim = 3
    nx = 1
    ny = 1
    nz = 2
    elem_type = HEX8
  []
[]

[AuxVariables]
  [fp_zz]
    order = CONSTANT
    family = MONOMIAL
  []
  [total_twin_volume_fraction]
    order = CONSTANT
    family = MONOMIAL
  []
  [twin_resistance_4]
    order = CONSTANT
    family = MONOMIAL
  []
  [twin_resistance_10]
    order = CONSTANT
    family = MONOMIAL
  []
  [twin_volume_fraction_0]
   order = CONSTANT
   family = MONOMIAL
  []
  [twin_volume_fraction_1]
   order = CONSTANT
   family = MONOMIAL
  []
  [twin_volume_fraction_2]
   order = CONSTANT
   family = MONOMIAL
  []
  [twin_volume_fraction_3]
   order = CONSTANT
   family = MONOMIAL
  []
  [twin_volume_fraction_4]
   order = CONSTANT
   family = MONOMIAL
  []
  [twin_volume_fraction_5]
   order = CONSTANT
   family = MONOMIAL
  []
  [twin_volume_fraction_6]
   order = CONSTANT
   family = MONOMIAL
  []
  [twin_volume_fraction_7]
   order = CONSTANT
   family = MONOMIAL
  []
  [twin_volume_fraction_8]
   order = CONSTANT
   family = MONOMIAL
  []
  [twin_volume_fraction_9]
   order = CONSTANT
   family = MONOMIAL
  []
  [twin_volume_fraction_10]
   order = CONSTANT
   family = MONOMIAL
  []
  [twin_volume_fraction_11]
   order = CONSTANT
   family = MONOMIAL
  []
  [twin_tau_4]
   order = CONSTANT
   family = MONOMIAL
  []
  [twin_tau_10]
   order = CONSTANT
   family = MONOMIAL
  []
[]

[Physics/SolidMechanics/QuasiStatic/all]
  strain = FINITE
  add_variables = true
[]

[AuxKernels]
  [fp_zz]
    type = RankTwoAux
    variable = fp_zz
    rank_two_tensor = plastic_deformation_gradient
    index_j = 2
    index_i = 2
    execute_on = timestep_end
  []
  [total_twin_volume_fraction]
    type = MaterialRealAux
    variable = total_twin_volume_fraction
    property = total_volume_fraction_twins
    execute_on = timestep_end
  []
  [twin_resistance_4]
   type = MaterialStdVectorAux
   variable = twin_resistance_4
   property = slip_resistance
   index = 4
   execute_on = timestep_end
  []
  [twin_resistance_10]
   type = MaterialStdVectorAux
   variable = twin_resistance_10
   property = slip_resistance
   index = 10
   execute_on = timestep_end
  []
  [twin_volume_fraction_0]
   type = MaterialStdVectorAux
   variable = twin_volume_fraction_0
   property = twin_system_volume_fraction
   index = 0
   execute_on = timestep_end
  []
  [twin_volume_fraction_1]
   type = MaterialStdVectorAux
   variable = twin_volume_fraction_1
   property = twin_system_volume_fraction
   index = 1
   execute_on = timestep_end
  []
  [twin_volume_fraction_2]
   type = MaterialStdVectorAux
   variable = twin_volume_fraction_2
   property = twin_system_volume_fraction
   index = 2
   execute_on = timestep_end
  []
  [twin_volume_fraction_3]
   type = MaterialStdVectorAux
   variable = twin_volume_fraction_3
   property = twin_system_volume_fraction
   index = 3
   execute_on = timestep_end
  []
  [twin_volume_fraction_4]
   type = MaterialStdVectorAux
   variable = twin_volume_fraction_4
   property = twin_system_volume_fraction
   index = 4
   execute_on = timestep_end
  []
  [twin_volume_fraction_5]
   type = MaterialStdVectorAux
   variable = twin_volume_fraction_5
   property = twin_system_volume_fraction
   index = 5
   execute_on = timestep_end
  []
  [twin_volume_fraction_6]
   type = MaterialStdVectorAux
   variable = twin_volume_fraction_6
   property = twin_system_volume_fraction
   index = 6
   execute_on = timestep_end
  []
  [twin_volume_fraction_7]
   type = MaterialStdVectorAux
   variable = twin_volume_fraction_7
   property = twin_system_volume_fraction
   index = 7
   execute_on = timestep_end
  []
  [twin_volume_fraction_8]
   type = MaterialStdVectorAux
   variable = twin_volume_fraction_8
   property = twin_system_volume_fraction
   index = 8
   execute_on = timestep_end
  []
  [twin_volume_fraction_9]
   type = MaterialStdVectorAux
   variable = twin_volume_fraction_9
   property = twin_system_volume_fraction
   index = 9
   execute_on = timestep_end
  []
  [twin_volume_fraction_10]
   type = MaterialStdVectorAux
   variable = twin_volume_fraction_10
   property = twin_system_volume_fraction
   index = 10
   execute_on = timestep_end
  []
  [twin_volume_fraction_11]
   type = MaterialStdVectorAux
   variable = twin_volume_fraction_11
   property = twin_system_volume_fraction
   index = 11
   execute_on = timestep_end
  []
  [twin_tau_4]
    type = MaterialStdVectorAux
    variable = twin_tau_4
    property = applied_shear_stress
    index = 4
    execute_on = timestep_end
  []
  [twin_tau_10]
    type = MaterialStdVectorAux
    variable = twin_tau_10
    property = applied_shear_stress
    index = 10
    execute_on = timestep_end
  []
[]

[BCs]
  [fix_y]
    type = DirichletBC
    variable = disp_y
    preset = true
    boundary = 'bottom'
    value = 0
  []
  [fix_x]
    type = DirichletBC
    variable = disp_x
    boundary = 'left'
    value = 0
  []
  [fix_z]
    type = DirichletBC
    variable = disp_z
    boundary = 'back'
    value = 0
  []
  [tdisp]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = front
    function = '5.0e-4*t'
  []
[]

[Materials]
  [elasticity_tensor]
    type = ComputeElasticityTensorCP
    C_ijkl = '1.08e5 6.034e4 6.034e4 1.08e5 6.03e4 1.08e5 2.86e4 2.86e4 2.86e4' #Tallon and Wolfenden. J. Phys. Chem. Solids (1979)
    fill_method = symmetric9
    euler_angle_1 = 54.74
    euler_angle_2 = 45.0
    euler_angle_3 = 270.0
  []
  [stress]
    type = ComputeMultipleCrystalPlasticityStress
    crystal_plasticity_models = 'twin_only_xtalpl'
    tan_mod_type = exact
    maximum_substep_iteration = 2
  []
  [twin_only_xtalpl]
    type = CrystalPlasticityTwinningKalidindiUpdate
    number_slip_systems = 12
    slip_sys_file_name = 'fcc_input_twinning_systems.txt'
    initial_twin_lattice_friction = 3.0
    non_coplanar_coefficient_twin_hardening = 8e5
    coplanar_coefficient_twin_hardening = 8e4
  []
[]

[Postprocessors]
  [fp_zz]
    type = ElementAverageValue
    variable = fp_zz
  []
  [total_twin_volume_fraction]
    type = ElementAverageValue
    variable = total_twin_volume_fraction
  []
  [twin_resistance_4]
    type = ElementAverageValue
    variable = twin_resistance_4
  []
  [twin_resistance_10]
    type = ElementAverageValue
    variable = twin_resistance_10
  []
  [twin_volume_fraction_0]
    type = ElementAverageValue
    variable = twin_volume_fraction_0
  []
  [twin_volume_fraction_1]
    type = ElementAverageValue
    variable = twin_volume_fraction_1
  []
  [twin_volume_fraction_2]
    type = ElementAverageValue
    variable = twin_volume_fraction_2
  []
  [twin_volume_fraction_3]
    type = ElementAverageValue
    variable = twin_volume_fraction_3
  []
  [twin_volume_fraction_4]
    type = ElementAverageValue
    variable = twin_volume_fraction_4
  []
  [twin_volume_fraction_5]
    type = ElementAverageValue
    variable = twin_volume_fraction_5
  []
  [twin_volume_fraction_6]
    type = ElementAverageValue
    variable = twin_volume_fraction_6
  []
  [twin_volume_fraction_7]
    type = ElementAverageValue
    variable = twin_volume_fraction_7
  []
  [twin_volume_fraction_8]
    type = ElementAverageValue
    variable = twin_volume_fraction_8
  []
  [twin_volume_fraction_9]
    type = ElementAverageValue
    variable = twin_volume_fraction_9
  []
  [twin_volume_fraction_10]
    type = ElementAverageValue
    variable = twin_volume_fraction_10
  []
  [twin_volume_fraction_11]
    type = ElementAverageValue
    variable = twin_volume_fraction_11
  []
  [twin_tau_4]
    type = ElementAverageValue
    variable = twin_tau_4
  []
  [twin_tau_10]
    type = ElementAverageValue
    variable = twin_tau_10
  []
[]

[Preconditioning]
  [smp]
    type = SMP
    full = true
  []
[]

[Executioner]
  type = Transient
  solve_type = 'PJFNK'

  petsc_options_iname = '-pc_type -pc_asm_overlap -sub_pc_type -ksp_type -ksp_gmres_restart'
  petsc_options_value = ' asm      2              lu            gmres     200'
  nl_abs_tol = 1e-10
  nl_rel_tol = 1e-10
  nl_abs_step_tol = 1e-10

  dt = 0.025
  dtmin = 0.0125
  num_steps = 8
[]

[Outputs]
  csv = true
  perf_graph = true
[]

(modules/peridynamics/test/tests/failure_tests/2D_bond_status_convergence_H1NOSPD.i)


[GlobalParams]
  displacements = 'disp_x disp_y'
[]

[Mesh]
  type = PeridynamicsMesh
  horizon_number = 3
  cracks_start = '0.25 0.5 0'
  cracks_end = '0.75 0.5 0'

  [./gmg]
    type = GeneratedMeshGenerator
    dim = 2
    nx = 8
    ny = 8
  [../]
  [./gpd]
    type = MeshGeneratorPD
    input = gmg
    retain_fe_mesh = false
  [../]
[]

[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
[]

[AuxVariables]
  [./critical_stress]
    family = MONOMIAL
    order = CONSTANT
  [../]
[]

[AuxKernels]
  [./bond_status]
    type = RankTwoBasedFailureCriteriaNOSPD
    variable = bond_status
    rank_two_tensor = stress
    critical_variable = critical_stress
    failure_criterion = VonMisesStress
  [../]
[]

[UserObjects]
  [./shape_singularity]
    type = SingularShapeTensorEliminatorUserObjectPD
  [../]
[]

[ICs]
  [./critical_stretch]
    type = ConstantIC
    variable = critical_stress
    value = 150
  [../]
[]

[BCs]
  [./left_x]
    type = DirichletBC
    variable = disp_x
    boundary = 1003
    value = 0.0
  [../]
  [./top_y]
    type = DirichletBC
    variable = disp_y
    boundary = 1002
    value = 0.0
  [../]
  [./bottom_y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 1000
    function = '-0.002*t'
  [../]

  [./rbm_x]
    type = RBMPresetOldValuePD
    variable = disp_x
    boundary = 999
  [../]
  [./rbm_y]
    type = RBMPresetOldValuePD
    variable = disp_y
    boundary = 999
  [../]
[]

[Modules/Peridynamics/Mechanics/Master]
  [./all]
    formulation = NONORDINARY_STATE
    stabilization = BOND_HORIZON_I
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeIsotropicElasticityTensor
    youngs_modulus = 2e5
    poissons_ratio = 0.33
  [../]
  [./strain]
    type = ComputeSmallStrainNOSPD
    stabilization = BOND_HORIZON_I
  [../]
  [./stress]
    type = ComputeLinearElasticStress
  [../]
[]

[Postprocessors]
  [./bond_status_updated_times]
    type = BondStatusConvergedPostprocessorPD
  [../]
[]

[Preconditioning]
  [./SMP]
    type = SMP
    full = true
  [../]
[]

[Executioner]
  type = Transient
  solve_type = PJFNK
  line_search = none
  start_time = 0
  dt = 0.5
  end_time = 1

  fixed_point_max_its = 5
  accept_on_max_fixed_point_iteration = true
  custom_pp = bond_status_updated_times
  custom_abs_tol = 2
  disable_picard_residual_norm_check = true

  [./Quadrature]
    type = GAUSS_LOBATTO
    order = FIRST
  [../]
[]

[Outputs]
  file_base = 2D_bond_status_convergence_H1NOSPD
  exodus = true
[]

(modules/heat_transfer/tutorials/introduction/therm_step03.i)

#
# Single block thermal input with time derivative term
# https://mooseframework.inl.gov/modules/heat_transfer/tutorials/introduction/therm_step03.html
#

[Mesh]
  [generated]
    type = GeneratedMeshGenerator
    dim = 2
    nx = 10
    ny = 10
    xmax = 2
    ymax = 1
  []
[]

[Variables]
  [T]
    initial_condition = 300.0
  []
[]

[Kernels]
  [heat_conduction]
    type = HeatConduction
    variable = T
  []
  [time_derivative]
    type = HeatConductionTimeDerivative
    variable = T
  []
[]

[Materials]
  [thermal]
    type = HeatConductionMaterial
    thermal_conductivity = 45.0
    specific_heat = 0.5
  []
  [density]
    type = GenericConstantMaterial
    prop_names = 'density'
    prop_values = 8000.0
  []
[]

[BCs]
  [t_left]
    type = DirichletBC
    variable = T
    value = 300
    boundary = 'left'
  []
  [t_right]
    type = FunctionDirichletBC
    variable = T
    function = '300+5*t'
    boundary = 'right'
  []
[]

[Executioner]
  type = Transient
  end_time = 5
  dt = 1
[]

[VectorPostprocessors]
  [t_sampler]
    type = LineValueSampler
    variable = T
    start_point = '0 0.5 0'
    end_point = '2 0.5 0'
    num_points = 20
    sort_by = x
  []
[]

[Outputs]
  exodus = true
  [csv]
    type = CSV
    file_base = therm_step03_out
    execute_on = final
  []
[]

(examples/ex14_pps/ex14.i)

[Mesh]
  type = GeneratedMesh
  dim = 2
  nx = 32
  ny = 32
  xmin = 0.0
  xmax = 1.0
  ymin = 0.0
  ymax = 1.0
[]

[Variables]
  [forced]
    order = FIRST
    family = LAGRANGE
  []
[]

[Functions]
  # A ParsedFunction allows us to supply analytic expressions directly in the input file
  [exact]
    type = ParsedFunction
    expression = sin(alpha*pi*x)
    symbol_names = alpha
    symbol_values = 16
  []

  # This function is an actual compiled function
  [force]
    type = ExampleFunction
    alpha = 16
  []
[]

[Kernels]
  [diff]
    type = ADDiffusion
    variable = forced
  []

  # This Kernel can take a function name to use
  [forcing]
    type = ADBodyForce
    variable = forced
    function = force
  []
[]

[BCs]
  # The BC can take a function name to use
  [all]
    type = FunctionDirichletBC
    variable = forced
    boundary = 'bottom right top left'
    function = exact
  []
[]

[Executioner]
  type = Steady
  solve_type = NEWTON
  petsc_options_iname = '-pc_type -pc_hypre_type'
  petsc_options_value = 'hypre boomeramg'
[]

[Postprocessors]
  [h]
    type = AverageElementSize
  []
  [error]
    type = ElementL2Error
    variable = forced
    function = exact
  []
[]

[Outputs]
  execute_on = 'timestep_end'
  exodus = true
  csv = true
[]

(framework/contrib/hit/test/input.i)

# This tests the thermal expansion coefficient function using both
# options to specify that function: mean and instantaneous.  There
# two blocks, each containing a single element, and these use the
# two variants of the function.

# In this test, the instantaneous CTE function has a constant value,
# while the mean CTE function is an analytic function designed to
# give the same response.  If \bar{alpha}(T) is the mean CTE function,
# and \alpha(T) is the instantaneous CTE function,

# \bar{\alpha}(T) = 1/(T-Tref) \intA^{T}_{Tsf} \alpha(T) dT

# where Tref is the reference temperature used to define the mean CTE
# function, and Tsf is the stress-free temperature.

# The two models produce very similar results.  There are slight
# differences due to the large deformation treatment.

[Mesh]
  file = 'blocks.e'
[]

[Variables]
  [./disp_x]
    order = FIRST
    family = LAGRANGE
  [../]

  [./disp_y]
    order = FIRST
    family = LAGRANGE
  [../]

  [./disp_z]
    order = FIRST
    family = LAGRANGE
  [../]
[]

[AuxVariables]
  [./temp]
    order = FIRST
    family = LAGRANGE
  [../]
[]

[SolidMechanics]
  [./solid]
    disp_x = disp_x
    disp_y = disp_y
    disp_z = disp_z
  [../]
[]

[BCs]
  [./left]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 3
    function = 0.02*t
  [../]

  [./bottom]
    type = DirichletBC
    variable = disp_y
    boundary = 2
    value = 0.0
  [../]

  [./back]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 1
    function = 0.01*t
  [../]
[]

[AuxKernels]
  [./temp]
    type = FunctionAux
    variable = temp
    block = '1 2'
    function = temp_func
  [../]
[]

[Materials]
  [./mean_alpha]
    type = Elastic
    block = 1
    youngs_modulus = 1e6
    poissons_ratio = .3
    disp_x = disp_x
    disp_y = disp_y
    disp_z = disp_z
    temp = temp
    thermal_expansion_function = cte_func_mean
    stress_free_temperature = 0.0
    thermal_expansion_reference_temperature = 0.5
    thermal_expansion_function_type = mean
  [../]

  [./inst_alpha]
    type = Elastic
    block = 2
    youngs_modulus = 1e6
    poissons_ratio = .3
    disp_x = disp_x
    disp_y = disp_y
    disp_z = disp_z
    temp = temp
    thermal_expansion_function = cte_func_inst
    stress_free_temperature = 0.0
    thermal_expansion_function_type = instantaneous
  [../]
[]

[Functions]
  [./cte_func_mean]
    type = ParsedFunction
    symbol_names = 'tsf tref scale' #stress free temp, reference temp, scale factor
    symbol_values = '0.0 0.5  1e-4'
    expression = 'scale * (t - tsf) / (t - tref)'
  [../]
  [./cte_func_inst]
    type = PiecewiseLinear
    xy_data = '0 1.0
               2 1.0'
    scale_factor = 1e-4
  [../]

  [./temp_func]
    type = PiecewiseLinear
    xy_data = '0 1
               1 2'
  [../]
[]

[Postprocessors]
  [./disp_1]
    type = NodalMaxValue
    variable = disp_x
    boundary = 101
  [../]

  [./disp_2]
    type = NodalMaxValue
    variable = disp_x
    boundary = 102
  [../]
[]

[Executioner]
  type = Transient

  solve_type = PJFNK
  l_max_its = 100
  l_tol = 1e-4
  nl_abs_tol = 1e-8
  nl_rel_tol = 1e-12

  start_time = 0.0
  end_time = 1.0
  dt = 0.1
[]

[Outputs]
  file_base = const_alpha_out
  exodus = true
  csv = true
[]

(modules/navier_stokes/test/tests/finite_element/ins/RZ_cone/RZ_cone_by_parts.i)

# This input file tests several different things:
# .) The axisymmetric (RZ) form of the governing equations.
# .) An open boundary.
# .) Integrating the pressure by parts.
# .) Natural boundary condition at the outlet.
[GlobalParams]
  gravity = '0 0 0'
[]

[Mesh]
  file = '2d_cone.msh'
[]

[Problem]
  coord_type = RZ
[]

[Preconditioning]
  [./SMP_PJFNK]
    type = SMP
    full = true
    solve_type = Newton
  [../]
[]

[Executioner]
  type = Transient
  dt = 0.005
  dtmin = 0.005
  num_steps = 5
  l_max_its = 100

  # Note: The Steady executioner can be used for this problem, if you
  # drop the INSMomentumTimeDerivative kernels and use the following
  # direct solver options.
  # petsc_options_iname = '-pc_type -pc_factor_shift_type -pc_factor_shift_amount -ksp_type'
  # petsc_options_value = 'lu NONZERO 1.e-10 preonly'

  # Block Jacobi works well for this problem, as does "-pc_type asm
  # -pc_asm_overlap 2", but an overlap of 1 does not work for some
  # reason?
  petsc_options_iname = '-pc_type -sub_pc_type -sub_pc_factor_levels'
  petsc_options_value = 'bjacobi  ilu          4'

  nl_rel_tol = 1e-12
  nl_max_its = 6
[]

[Outputs]
  console = true
  [./out]
    type = Exodus
  [../]
[]

[Variables]
  [./vel_x]
    # Velocity in radial (r) direction
    family = LAGRANGE
    order = SECOND
  [../]
  [./vel_y]
    # Velocity in axial (z) direction
    family = LAGRANGE
    order = SECOND
  [../]
  [./p]
    family = LAGRANGE
    order = FIRST
  [../]
[]

[BCs]
  [./u_in]
    type = DirichletBC
    boundary = bottom
    variable = vel_x
    value = 0
  [../]
  [./v_in]
    type = FunctionDirichletBC
    boundary = bottom
    variable = vel_y
    function = 'inlet_func'
  [../]
  [./u_axis_and_walls]
    type = DirichletBC
    boundary = 'left right'
    variable = vel_x
    value = 0
  [../]
  [./v_no_slip]
    type = DirichletBC
    boundary = 'right'
    variable = vel_y
    value = 0
  [../]
[]


[Kernels]
  [./x_momentum_time]
    type = INSMomentumTimeDerivative
    variable = vel_x
  [../]
  [./y_momentum_time]
    type = INSMomentumTimeDerivative
    variable = vel_y
  [../]
  [./mass]
    type = INSMassRZ
    variable = p
    u = vel_x
    v = vel_y
    pressure = p
  [../]
  [./x_momentum_space]
    type = INSMomentumLaplaceFormRZ
    variable = vel_x
    u = vel_x
    v = vel_y
    pressure = p
    component = 0
  [../]
  [./y_momentum_space]
    type = INSMomentumLaplaceFormRZ
    variable = vel_y
    u = vel_x
    v = vel_y
    pressure = p
    component = 1
  [../]
[]

[Materials]
  [./const]
    type = GenericConstantMaterial
    block = 'volume'
    prop_names = 'rho mu'
    prop_values = '1  1'
  [../]
[]

[Functions]
  [./inlet_func]
    type = ParsedFunction
    expression = '-4 * x^2 + 1'
  [../]
[]

[Postprocessors]
  [./flow_in]
    type = VolumetricFlowRate
    vel_x = vel_x
    vel_y = vel_y
    boundary = 'bottom'
    outputs = 'console'    execute_on = 'timestep_end'
  [../]
  [./flow_out]
    type = VolumetricFlowRate
    vel_x = vel_x
    vel_y = vel_y
    boundary = 'top'
    outputs = 'console'    execute_on = 'timestep_end'
  [../]
[]

(modules/solid_mechanics/test/tests/lagrangian/materials/correctness/hyperelastic_J2_plastic.i)

E = 6.88e4
nu = 0.25

[GlobalParams]
  large_kinematics = true
[]

[Variables]
  [disp_x]
  []
  [disp_y]
  []
  [disp_z]
  []
[]

[Mesh]
  [msh]
    type = GeneratedMeshGenerator
    dim = 3
    nx = 1
    ny = 1
    nz = 1
  []
[]

[Kernels]
  [sdx]
    type = TotalLagrangianStressDivergence
    variable = disp_x
    component = 0
    displacements = 'disp_x disp_y disp_z'
  []
  [sdy]
    type = TotalLagrangianStressDivergence
    variable = disp_y
    component = 1
    displacements = 'disp_x disp_y disp_z'
  []
  [sdz]
    type = TotalLagrangianStressDivergence
    variable = disp_z
    component = 2
    displacements = 'disp_x disp_y disp_z'
  []
[]

[BCs]
  [fix_x]
    type = DirichletBC
    variable = disp_x
    boundary = 'left'
    value = 0.0
  []
  [fix_y]
    type = DirichletBC
    variable = disp_y
    boundary = 'bottom'
    value = 0.0
  []
  [fix_z]
    type = DirichletBC
    variable = disp_z
    boundary = 'back'
    value = 0.0
  []
  [pull_x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'right'
    function = 't'
    preset = false
  []
[]

[Materials]
  [elastic_tensor]
    type = ComputeIsotropicElasticityTensor
    youngs_modulus = ${E}
    poissons_ratio = ${nu}
  []
  [compute_strain]
    type = ComputeLagrangianStrain
    displacements = 'disp_x disp_y disp_z'
  []
  [flow_stress]
    type = DerivativeParsedMaterial
    property_name = flow_stress
    expression = '320+688*effective_plastic_strain'
    material_property_names = 'effective_plastic_strain'
    additional_derivative_symbols = 'effective_plastic_strain'
    derivative_order = 2
    compute = false
  []
  [compute_stress]
    type = ComputeSimoHughesJ2PlasticityStress
    flow_stress_material = flow_stress
  []
[]

[Postprocessors]
  [sxx]
    type = ElementAverageValue
    variable = sxx
    execute_on = 'INITIAL TIMESTEP_END'
  []
  [exx]
    type = ElementAverageValue
    variable = exx
    execute_on = 'INITIAL TIMESTEP_END'
  []
[]

[AuxVariables]
  [sxx]
    family = MONOMIAL
    order = CONSTANT
    [AuxKernel]
      type = RankTwoAux
      rank_two_tensor = cauchy_stress
      index_i = 0
      index_j = 0
    []
  []
  [exx]
    family = MONOMIAL
    order = CONSTANT
    [AuxKernel]
      type = RankTwoAux
      rank_two_tensor = total_strain
      index_i = 0
      index_j = 0
    []
  []
[]

[Executioner]
  type = Transient

  solve_type = NEWTON
  line_search = none

  petsc_options_iname = '-pc_type'
  petsc_options_value = 'lu'

  nl_rel_tol = 1e-8
  nl_abs_tol = 1e-10

  start_time = 0.0
  dt = 5e-4
  end_time = 1e-1
[]

[Outputs]
  csv = true
[]

(modules/solid_mechanics/test/tests/tensile/planar2.i)

# checking for small deformation
# A single element is stretched by 1E-6m in all directions, with lame mu = 1E6, so trial stress is 2Pa in principal directions
# tensile_strength is set to 1Pa
# Then the final stress should return to the all principal stresses being 1.0 (up to tolerance), and internal parameter = (0.5+0.5+0.5)E-6 = 1.5E-6
# Using 'planar' Tensile plasticity

[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]


[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]

[Physics/SolidMechanics/QuasiStatic]
  [./all]
    add_variables = true
    incremental = true
    strain = finite
    generate_output = 'stress_xx stress_xy stress_xz stress_yy stress_yz stress_zz'
  [../]
[]

[BCs]
  [./x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'front back'
    function = '1E-6*x'
  [../]
  [./y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'front back'
    function = '1E-6*y'
  [../]
  [./z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'front back'
    function = '1E-6*z'
  [../]
[]

[AuxVariables]
  [./f0]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f1]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f2]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./iter]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./intnl]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]

[AuxKernels]
  [./f0_auxk]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 0
    variable = f0
  [../]
  [./f1_auxk]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 1
    variable = f1
  [../]
  [./f2_auxk]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 2
    variable = f2
  [../]
  [./iter]
    type = MaterialRealAux
    property = plastic_NR_iterations
    variable = iter
  [../]
  [./intnl_auxk]
    type = MaterialStdVectorAux
    property = plastic_internal_parameter
    index = 0
    variable = intnl
  [../]
[]

[Postprocessors]
  [./s_xx]
    type = PointValue
    point = '0 0 0'
    variable = stress_xx
  [../]
  [./s_xy]
    type = PointValue
    point = '0 0 0'
    variable = stress_xy
  [../]
  [./s_xz]
    type = PointValue
    point = '0 0 0'
    variable = stress_xz
  [../]
  [./s_yy]
    type = PointValue
    point = '0 0 0'
    variable = stress_yy
  [../]
  [./s_yz]
    type = PointValue
    point = '0 0 0'
    variable = stress_yz
  [../]
  [./s_zz]
    type = PointValue
    point = '0 0 0'
    variable = stress_zz
  [../]
  [./f0]
    type = PointValue
    point = '0 0 0'
    variable = f0
  [../]
  [./f1]
    type = PointValue
    point = '0 0 0'
    variable = f1
  [../]
  [./f2]
    type = PointValue
    point = '0 0 0'
    variable = f2
  [../]
  [./iter]
    type = PointValue
    point = '0 0 0'
    variable = iter
    outputs = console
  [../]
  [./intnl]
    type = PointValue
    point = '0 0 0'
    variable = intnl
  [../]
[]

[UserObjects]
  [./hard]
    type = SolidMechanicsHardeningConstant
    value = 1
  [../]
  [./tens]
    type = SolidMechanicsPlasticTensileMulti
    tensile_strength = hard
    shift = 1E-6
    yield_function_tolerance = 1E-6
    internal_constraint_tolerance = 1E-5
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    block = 0
    fill_method = symmetric_isotropic
    C_ijkl = '0 1E6'
  [../]
  [./mc]
    type = ComputeMultiPlasticityStress
    block = 0
    ep_plastic_tolerance = 1E-5
    plastic_models = tens
    debug_fspb = crash
    debug_jac_at_stress = '1 2 3 2 -4 -5 3 -5 10'
    debug_jac_at_pm = '0.1 0.2 0.3'
    debug_jac_at_intnl = 1E-6
    debug_stress_change = 1E-6
    debug_pm_change = '1E-6 1E-6 1E-6'
    debug_intnl_change = 1E-6
  [../]
[]


[Executioner]
  end_time = 1
  dt = 1
  type = Transient
[]


[Outputs]
  file_base = planar2
  exodus = false
  [./csv]
    type = CSV
    [../]
[]

(modules/heat_transfer/test/tests/truss_heat_conduction/strip.i)

[Mesh]
  [gmg]
    type = GeneratedMeshGenerator
    dim = 2
    nx = 10
    ny = 1
    xmax = 0.5
    xmin = -0.5
    ymin = -0.05
    ymax = 0.05
  []
  [left_line]
    type = SubdomainBoundingBoxGenerator
    input = gmg
    bottom_left = '-0.5 0 0'
    top_right = '0 0 0'
    block_id = 1
    block_name = 'left_strip'
    location = INSIDE
  []
  [right_line]
    type = SubdomainBoundingBoxGenerator
    input = left_line
    bottom_left = '0 0 0'
    top_right = '0.5 0 0'
    block_id = 2
    block_name = 'right_strip'
    location = INSIDE
  []
[]

[Variables]
  [temperature]
  []
[]

[Kernels]
  [time_derivative]
    type = HeatConductionTimeDerivative
    variable = temperature
  []
  [heat_conduction]
    type = HeatConduction
    variable = temperature
  []
[]

[Materials]
  [left_strip]
    type = GenericConstantMaterial
    block = 'left_strip'
    prop_names =  'thermal_conductivity specific_heat density'
    prop_values = '0.1                 1.0           1.0' # W/(cm K), J/(g K), g/cm^3
  []
  [right_strip]
    type = GenericConstantMaterial
    block = 'right_strip'
    prop_names =  'thermal_conductivity specific_heat density'
    prop_values = '5.0e-3                  1.0           1.0' # W/(cm K), J/(g K), g/cm^3
  []
[]

[BCs]
  [right]
    type = FunctionDirichletBC
    variable = temperature
    boundary = 'right'
    function = '10*t'
  []
[]

[VectorPostprocessors]
  [center]
    type = LineValueSampler
    start_point = '-0.5 0 0'
    end_point = '0.5 0 0'
    num_points = 40
    variable = 'temperature'
    sort_by = id
  []
[]

[Executioner]
  type = Transient
  start_time = 0
  dt = 1
  end_time = 1
  solve_type = 'PJFNK'
  petsc_options_iname = '-pc_type -pc_hypre_type'
  petsc_options_value = 'hypre boomeramg'
[]

[Outputs]
  exodus = true
  [csv]
    type = CSV
    file_base = 'csv/strip'
    time_data = true
  []
[]

(modules/solid_mechanics/test/tests/tensile/planar7.i)

# A single unit element is stretched by (0.5, 0.4, 0.3)E-6m
# with Lame lambda = 0.6E6 and Lame mu (shear) = 1E6
# stress_xx = 1.72 Pa
# stress_yy = 1.52 Pa
# stress_zz = 1.32 Pa
# tensile_strength is set to 1.3Pa
#
# The return should be to the edge (the algorithm will first try the tip) with
# plastic_multiplier0 = 0, plastic_multiplier1 = 5E-8, plastic_multiplier2 = 1.5E-7
# internal = 2E-7
# stress_xx = stress_yy = 1.3
# stress_zz = 1.2

[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]
[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]

[Physics/SolidMechanics/QuasiStatic]
  [./all]
    add_variables = true
    incremental = true
    strain = finite
    generate_output = 'stress_xx stress_xy stress_xz stress_yy stress_yz stress_zz'
  [../]
[]

[BCs]
  [./x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'front back'
    function = '0.5E-6*x'
  [../]
  [./y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'front back'
    function = '0.4E-6*y'
  [../]
  [./z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'front back'
    function = '0.3E-6*z'
  [../]
[]

[AuxVariables]
  [./f0]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f1]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f2]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./iter]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./intnl]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]

[AuxKernels]
  [./f0_auxk]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 0
    variable = f0
  [../]
  [./f1_auxk]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 1
    variable = f1
  [../]
  [./f2_auxk]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 2
    variable = f2
  [../]
  [./iter]
    type = MaterialRealAux
    property = plastic_NR_iterations
    variable = iter
  [../]
  [./intnl_auxk]
    type = MaterialStdVectorAux
    property = plastic_internal_parameter
    index = 0
    variable = intnl
  [../]
[]

[Postprocessors]
  [./s_xx]
    type = PointValue
    point = '0 0 0'
    variable = stress_xx
  [../]
  [./s_xy]
    type = PointValue
    point = '0 0 0'
    variable = stress_xy
  [../]
  [./s_xz]
    type = PointValue
    point = '0 0 0'
    variable = stress_xz
  [../]
  [./s_yy]
    type = PointValue
    point = '0 0 0'
    variable = stress_yy
  [../]
  [./s_yz]
    type = PointValue
    point = '0 0 0'
    variable = stress_yz
  [../]
  [./s_zz]
    type = PointValue
    point = '0 0 0'
    variable = stress_zz
  [../]
  [./f0]
    type = PointValue
    point = '0 0 0'
    variable = f0
  [../]
  [./f1]
    type = PointValue
    point = '0 0 0'
    variable = f1
  [../]
  [./f2]
    type = PointValue
    point = '0 0 0'
    variable = f2
  [../]
  [./iter]
    type = PointValue
    point = '0 0 0'
    variable = iter
  [../]
  [./intnl]
    type = PointValue
    point = '0 0 0'
    variable = intnl
  [../]
[]

[UserObjects]
  [./hard]
    type = SolidMechanicsHardeningConstant
    value = 1.3
  [../]
  [./tens]
    type = SolidMechanicsPlasticTensileMulti
    tensile_strength = hard
    shift = 1E-6
    yield_function_tolerance = 1E-6
    internal_constraint_tolerance = 1E-5
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    block = 0
    fill_method = symmetric_isotropic
    C_ijkl = '0.6E6 1E6'
  [../]
  [./mc]
    type = ComputeMultiPlasticityStress
    block = 0
    ep_plastic_tolerance = 1E-12
    plastic_models = tens
    debug_fspb = none
    debug_jac_at_stress = '1 2 3 2 -4 -5 3 -5 10'
    debug_jac_at_pm = '0.1 0.2 0.3'
    debug_jac_at_intnl = 1E-6
    debug_stress_change = 1E-6
    debug_pm_change = '1E-6 1E-6 1E-6'
    debug_intnl_change = 1E-6
  [../]
[]


[Executioner]
  end_time = 1
  dt = 1
  type = Transient
[]


[Outputs]
  file_base = planar7
  exodus = false
  [./csv]
    type = CSV
    [../]
[]

(modules/solid_mechanics/test/tests/weak_plane_shear/large_deform4.i)

# apply a number of "random" configurations and
# check that the algorithm returns to the yield surface
# using the 'cap' tip_scheme
#
# must be careful here - we cannot put in arbitrary values of C_ijkl, otherwise the condition
# df/dsigma * C * flow_dirn < 0 for some stresses
# The important features that must be obeyed are:
# 0 = C_0222 = C_1222  (holds for transversely isotropic, for instance)
# C_0212 < C_0202 = C_1212 (holds for transversely isotropic)
[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]

[Mesh]
  type = GeneratedMesh
  dim = 3
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]

[Physics/SolidMechanics/QuasiStatic/all]
  strain = FINITE
  add_variables = true
[]

[BCs]
  [bottomx]
    type = DirichletBC
    variable = disp_x
    boundary = back
    value = 0.0
  []
  [bottomy]
    type = DirichletBC
    variable = disp_y
    boundary = back
    value = 0.0
  []
  [bottomz]
    type = DirichletBC
    variable = disp_z
    boundary = back
    value = 0.0
  []

  # the following are "random" deformations
  # each is O(1E-1) to provide large deformations
  [topx]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = front
    function = '(sin(0.1*t)+x)/1E1'
  []
  [topy]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = front
    function = '(cos(t)+x*y)/1E1'
  []
  [topz]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = front
    function = 'sin(0.4321*t)*x*y*z/1E1'
  []
[]

[AuxVariables]
  [yield_fcn]
    order = CONSTANT
    family = MONOMIAL
  []
[]

[AuxKernels]
  [yield_fcn_auxk]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 0
    variable = yield_fcn
  []
[]

[Postprocessors]
  [yield_fcn_at_zero]
    type = PointValue
    point = '0 0 0'
    variable = yield_fcn
    outputs = 'console'
  []
  [should_be_zero]
    type = FunctionValuePostprocessor
    function = should_be_zero_fcn
  []
[]

[Functions]
  [should_be_zero_fcn]
    type = ParsedFunction
    expression = 'if(a<1E-3,0,a)'
    symbol_names = 'a'
    symbol_values = 'yield_fcn_at_zero'
  []
[]

[UserObjects]
  [coh]
    type = SolidMechanicsHardeningConstant
    value = 1E3
  []
  [tanphi]
    type = SolidMechanicsHardeningConstant
    value = 0.577350269
  []
  [tanpsi]
    type = SolidMechanicsHardeningConstant
    value = 0.08748866
  []
  [wps]
    type = SolidMechanicsPlasticWeakPlaneShear
    cohesion = coh
    tan_friction_angle = tanphi
    tan_dilation_angle = tanpsi
    tip_scheme = cap
    smoother = 100
    cap_rate = 0.001
    cap_start = 0.0
    yield_function_tolerance = 1E-3
    internal_constraint_tolerance = 1E-3
  []
[]

[Materials]
  [elasticity_tensor]
    type = ComputeElasticityTensor
    # the following is transversely isotropic, i think.
    fill_method = symmetric9
    C_ijkl = '3E9 1E9 3E9 3E9 3E9 6E9 1E9 1E9 9E9'
  []
  [mc]
    type = ComputeMultiPlasticityStress
    plastic_models = wps
    transverse_direction = '0 0 1'
    max_NR_iterations = 100
    ep_plastic_tolerance = 1E-3
    debug_fspb = crash
  []
[]

[Executioner]
  end_time = 1E4
  dt = 1
  type = Transient
[]

[Outputs]
  csv = true
[]

(modules/porous_flow/test/tests/poro_elasticity/mandel_constM.i)

# Mandel's problem of consolodation of a drained medium
#
# A sample is in plane strain.
# -a <= x <= a
# -b <= y <= b
# It is squashed with constant force by impermeable, frictionless plattens on its top and bottom surfaces (at y=+/-b)
# Fluid is allowed to leak out from its sides (at x=+/-a)
# The porepressure within the sample is monitored.
#
# As is common in the literature, this is simulated by
# considering the quarter-sample, 0<=x<=a and 0<=y<=b, with
# impermeable, roller BCs at x=0 and y=0 and y=b.
# Porepressure is fixed at zero on x=a.
# Porepressure and displacement are initialised to zero.
# Then the top (y=b) is moved downwards with prescribed velocity,
# so that the total force that is inducing this downwards velocity
# is fixed.  The velocity is worked out by solving Mandel's problem
# analytically, and the total force is monitored in the simulation
# to check that it indeed remains constant.
#
# Here are the problem's parameters, and their values:
# Soil width.  a = 1
# Soil height.  b = 0.1
# Soil's Lame lambda.  la = 0.5
# Soil's Lame mu, which is also the Soil's shear modulus.  mu = G = 0.75
# Soil bulk modulus.  K = la + 2*mu/3 = 1
# Drained Poisson ratio.  nu = (3K - 2G)/(6K + 2G) = 0.2
# Soil bulk compliance.  1/K = 1
# Fluid bulk modulus.  Kf = 8
# Fluid bulk compliance.  1/Kf = 0.125
# Soil initial porosity.  phi0 = 0.1
# Biot coefficient.  alpha = 0.6
# Biot modulus.  M = 1/(phi0/Kf + (alpha - phi0)(1 - alpha)/K) = 4.705882
# Undrained bulk modulus. Ku = K + alpha^2*M = 2.694118
# Undrained Poisson ratio.  nuu = (3Ku - 2G)/(6Ku + 2G) = 0.372627
# Skempton coefficient.  B = alpha*M/Ku = 1.048035
# Fluid mobility (soil permeability/fluid viscosity).  k = 1.5
# Consolidation coefficient.  c = 2*k*B^2*G*(1-nu)*(1+nuu)^2/9/(1-nuu)/(nuu-nu) = 3.821656
# Normal stress on top.  F = 1
#
# The solution for porepressure and displacements is given in
# AHD Cheng and E Detournay "A direct boundary element method for plane strain poroelasticity" International Journal of Numerical and Analytical Methods in Geomechanics 12 (1988) 551-572.
# The solution involves complicated infinite series, so I shall not write it here

[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 10
  ny = 1
  nz = 1
  xmin = 0
  xmax = 1
  ymin = 0
  ymax = 0.1
  zmin = 0
  zmax = 1
[]

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
  PorousFlowDictator = dictator
  block = 0
[]

[UserObjects]
  [dictator]
    type = PorousFlowDictator
    porous_flow_vars = 'porepressure disp_x disp_y disp_z'
    number_fluid_phases = 1
    number_fluid_components = 1
  []
  [pc]
    type = PorousFlowCapillaryPressureVG
    m = 0.8
    alpha = 1e-5
  []
[]

[Variables]
  [disp_x]
  []
  [disp_y]
  []
  [disp_z]
  []
  [porepressure]
  []
[]

[BCs]
  [roller_xmin]
    type = DirichletBC
    variable = disp_x
    value = 0
    boundary = 'left'
  []
  [roller_ymin]
    type = DirichletBC
    variable = disp_y
    value = 0
    boundary = 'bottom'
  []
  [plane_strain]
    type = DirichletBC
    variable = disp_z
    value = 0
    boundary = 'back front'
  []
  [xmax_drained]
    type = DirichletBC
    variable = porepressure
    value = 0
    boundary = right
  []
  [top_velocity]
    type = FunctionDirichletBC
    variable = disp_y
    function = top_velocity
    boundary = top
  []
[]

[Functions]
  [top_velocity]
    type = PiecewiseLinear
    x = '0 0.002 0.006   0.014   0.03    0.046   0.062   0.078   0.094   0.11    0.126   0.142   0.158   0.174   0.19 0.206 0.222 0.238 0.254 0.27 0.286 0.302 0.318 0.334 0.35 0.366 0.382 0.398 0.414 0.43 0.446 0.462 0.478 0.494 0.51 0.526 0.542 0.558 0.574 0.59 0.606 0.622 0.638 0.654 0.67 0.686 0.702'
    y = '-0.041824842    -0.042730269    -0.043412712    -0.04428867     -0.045509181    -0.04645965     -0.047268246 -0.047974749      -0.048597109     -0.0491467  -0.049632388     -0.050061697      -0.050441198     -0.050776675     -0.051073238      -0.0513354 -0.051567152      -0.051772022     -0.051953128 -0.052113227 -0.052254754 -0.052379865 -0.052490464 -0.052588233 -0.052674662 -0.052751065 -0.052818606 -0.052878312 -0.052931093 -0.052977751 -0.053018997 -0.053055459 -0.053087691 -0.053116185 -0.053141373 -0.05316364 -0.053183324 -0.053200724 -0.053216106 -0.053229704 -0.053241725 -0.053252351 -0.053261745 -0.053270049 -0.053277389 -0.053283879 -0.053289615'
  []
[]

[AuxVariables]
  [stress_yy]
    order = CONSTANT
    family = MONOMIAL
  []
  [tot_force]
    order = CONSTANT
    family = MONOMIAL
  []
[]

[AuxKernels]
  [stress_yy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yy
    index_i = 1
    index_j = 1
  []
  [tot_force]
    type = ParsedAux
    coupled_variables = 'stress_yy porepressure'
    execute_on = timestep_end
    variable = tot_force
    expression = '-stress_yy+0.6*porepressure'
  []
[]

[Kernels]
  [grad_stress_x]
    type = StressDivergenceTensors
    variable = disp_x
    component = 0
  []
  [grad_stress_y]
    type = StressDivergenceTensors
    variable = disp_y
    component = 1
  []
  [grad_stress_z]
    type = StressDivergenceTensors
    variable = disp_z
    component = 2
  []
  [poro_x]
    type = PorousFlowEffectiveStressCoupling
    biot_coefficient = 0.6
    variable = disp_x
    component = 0
  []
  [poro_y]
    type = PorousFlowEffectiveStressCoupling
    biot_coefficient = 0.6
    variable = disp_y
    component = 1
  []
  [poro_z]
    type = PorousFlowEffectiveStressCoupling
    biot_coefficient = 0.6
    component = 2
    variable = disp_z
  []
  [poro_vol_exp]
    type = PorousFlowMassVolumetricExpansion
    variable = porepressure
    fluid_component = 0
  []
  [mass0]
    type = PorousFlowMassTimeDerivative
    fluid_component = 0
    variable = porepressure
  []
  [flux]
    type = PorousFlowAdvectiveFlux
    variable = porepressure
    gravity = '0 0 0'
    fluid_component = 0
  []
[]

[FluidProperties]
  [simple_fluid]
    type = SimpleFluidProperties
    bulk_modulus = 8
    density0 = 1
    thermal_expansion = 0
    viscosity = 1
  []
[]

[Materials]
  [temperature]
    type = PorousFlowTemperature
  []
  [elasticity_tensor]
    type = ComputeElasticityTensor
    C_ijkl = '0.5 0.75'
    # bulk modulus is lambda + 2*mu/3 = 0.5 + 2*0.75/3 = 1
    fill_method = symmetric_isotropic
  []
  [strain]
    type = ComputeSmallStrain
  []
  [stress]
    type = ComputeLinearElasticStress
  []
  [eff_fluid_pressure]
    type = PorousFlowEffectiveFluidPressure
  []
  [vol_strain]
    type = PorousFlowVolumetricStrain
  []
  [ppss]
    type = PorousFlow1PhaseP
    porepressure = porepressure
    capillary_pressure = pc
  []
  [massfrac]
    type = PorousFlowMassFraction
  []
  [simple_fluid]
    type = PorousFlowSingleComponentFluid
    fp = simple_fluid
    phase = 0
  []
  [porosity]
    type = PorousFlowPorosityHMBiotModulus
    porosity_zero = 0.1
    biot_coefficient = 0.6
    solid_bulk = 1
    constant_fluid_bulk_modulus = 8
    constant_biot_modulus = 4.7058823529
  []
  [permeability]
    type = PorousFlowPermeabilityConst
    permeability = '1.5 0 0   0 1.5 0   0 0 1.5'
  []
  [relperm]
    type = PorousFlowRelativePermeabilityCorey
    n = 0 # unimportant in this fully-saturated situation
    phase = 0
  []
[]

[Postprocessors]
  [p0]
    type = PointValue
    outputs = csv
    point = '0.0 0 0'
    variable = porepressure
  []
  [p1]
    type = PointValue
    outputs = csv
    point = '0.1 0 0'
    variable = porepressure
  []
  [p2]
    type = PointValue
    outputs = csv
    point = '0.2 0 0'
    variable = porepressure
  []
  [p3]
    type = PointValue
    outputs = csv
    point = '0.3 0 0'
    variable = porepressure
  []
  [p4]
    type = PointValue
    outputs = csv
    point = '0.4 0 0'
    variable = porepressure
  []
  [p5]
    type = PointValue
    outputs = csv
    point = '0.5 0 0'
    variable = porepressure
  []
  [p6]
    type = PointValue
    outputs = csv
    point = '0.6 0 0'
    variable = porepressure
  []
  [p7]
    type = PointValue
    outputs = csv
    point = '0.7 0 0'
    variable = porepressure
  []
  [p8]
    type = PointValue
    outputs = csv
    point = '0.8 0 0'
    variable = porepressure
  []
  [p9]
    type = PointValue
    outputs = csv
    point = '0.9 0 0'
    variable = porepressure
  []
  [p99]
    type = PointValue
    outputs = csv
    point = '1 0 0'
    variable = porepressure
  []
  [xdisp]
    type = PointValue
    outputs = csv
    point = '1 0.1 0'
    variable = disp_x
  []
  [ydisp]
    type = PointValue
    outputs = csv
    point = '1 0.1 0'
    variable = disp_y
  []
  [total_downwards_force]
     type = ElementAverageValue
     outputs = csv
     variable = tot_force
  []
  [dt]
    type = FunctionValuePostprocessor
    outputs = console
    function = if(0.15*t<0.01,0.15*t,0.01)
  []
[]

[Preconditioning]
  [andy]
    type = SMP
    full = true
    petsc_options_iname = '-ksp_type -pc_type -sub_pc_type -snes_atol -snes_rtol -snes_max_it'
    petsc_options_value = 'gmres asm lu 1E-14 1E-10 10000'
  []
[]

[Executioner]
  type = Transient
  solve_type = Newton
  start_time = 0
  end_time = 0.7
  [TimeStepper]
    type = PostprocessorDT
    postprocessor = dt
    dt = 0.001
  []
[]

[Outputs]
  execute_on = 'timestep_end'
  file_base = mandel_constM
  [csv]
    time_step_interval = 3
    type = CSV
  []
[]

(test/tests/time_steppers/timesequence_stepper/timesequence_restart3.i)

[Mesh]
  file = timesequence_restart1_cp/0002-mesh.cpa.gz
[]

[Problem]
  restart_file_base = timesequence_restart1_cp/0002
  # There is an initial conditions overwriting the restart on the nonlinear variable u
  # As you can see in the gold file, this makes the initial step output be from the
  # initial condition
  allow_initial_conditions_with_restart = true
[]

[Functions]
  [exact_fn]
    type = ParsedFunction
    expression = t*t*(x*x+y*y)
  []

  [forcing_fn]
    type = ParsedFunction
    expression = 2*t*(x*x+y*y)-4*t*t
  []
[]

[Variables]
  [u]
    family = LAGRANGE
    order = SECOND
  []
[]

[ICs]
  [u_var]
    type = FunctionIC
    variable = u
    function = exact_fn
  []
[]

[Kernels]
  [td]
    type = TimeDerivative
    variable = u
  []

  [diff]
    type = Diffusion
    variable = u
  []

  [ffn]
    type = BodyForce
    variable = u
    function = forcing_fn
  []
[]

[BCs]
  [all]
    type = FunctionDirichletBC
    variable = u
    boundary = 'left right top bottom'
    function = exact_fn
  []
[]

[Executioner]
  type = Transient
  end_time = 4.5
  [TimeStepper]
    type = TimeSequenceStepper
    time_sequence = '0   0.85 1.3 1.9 2 4 4.5'
  []
[]

[Outputs]
  exodus = true
[]

(modules/heat_transfer/test/tests/gap_heat_transfer_htonly/cyl2D_xz.i)

#
# 2D Cylindrical Gap Heat Transfer Test.
#
# This test exercises 2D gap heat transfer for a constant conductivity gap.
#
# The mesh consists of an inner solid cylinder of radius = 1 unit, and outer
# hollow cylinder with an inner radius of 2 in the x-z plane. In other words,
# the gap between them is 1 radial unit in length.
#
# The calculated results are the same as for the cyl2D.i case in the x-y plane.

[GlobalParams]
  order = SECOND
  family = LAGRANGE
[]

[Mesh]
  [file]
    type = FileMeshGenerator
    file = cyl2D.e
  []
  [./rotate]
    type = TransformGenerator
    transform = ROTATE
    vector_value = '0 90 0'
    input = file
  [../]
[]

[Functions]
  [./temp]
    type = PiecewiseLinear
    x = '0   1'
    y = '100 200'
  [../]
[]

[Variables]
  [./temp]
   initial_condition = 100
  [../]
[]

[AuxVariables]
  [./gap_conductance]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]

[Kernels]
  [./heat_conduction]
    type = HeatConduction
    variable = temp
  [../]
[]

[AuxKernels]
  [./gap_cond]
    type = MaterialRealAux
    property = gap_conductance
    variable = gap_conductance
    boundary = 2
  [../]
[]

[Materials]
  [./heat1]
    type = HeatConductionMaterial
    block = '1 2'
    specific_heat = 1.0
    thermal_conductivity = 1000000.0
  [../]
[]

[ThermalContact]
  [./thermal_contact]
    type = GapHeatTransfer
    variable = temp
    primary = 3
    secondary = 2
    emissivity_primary = 0
    emissivity_secondary = 0
    gap_conductivity = 1
    quadrature = true
    gap_geometry_type = CYLINDER
    cylinder_axis_point_1 = '0 0 0'
    cylinder_axis_point_2 = '0 1 0'
  [../]
[]

[BCs]
  [./mid]
    type = FunctionDirichletBC
    boundary = 1
    variable = temp
    function = temp
  [../]
  [./temp_far_right]
    type = DirichletBC
    boundary = 4
    variable = temp
    value = 100
  [../]
[]

[Executioner]
  type = Transient
  solve_type = 'PJFNK'

  petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
  petsc_options_value = 'lu       superlu_dist'

  dt = 1
  dtmin = 0.01
  end_time = 1

  nl_rel_tol = 1e-12
  nl_abs_tol = 1e-7

  [./Quadrature]
     order = fifth
     side_order = seventh
  [../]
[]

[Outputs]
  exodus = true
[]

[Postprocessors]
  [./temp_left]
    type = SideAverageValue
    boundary = 2
    variable = temp
  [../]

  [./temp_right]
    type = SideAverageValue
    boundary = 3
    variable = temp
  [../]

  [./flux_left]
    type = SideDiffusiveFluxIntegral
    variable = temp
    boundary = 2
    diffusivity = thermal_conductivity
  [../]

  [./flux_right]
    type = SideDiffusiveFluxIntegral
    variable = temp
    boundary = 3
    diffusivity = thermal_conductivity
  [../]
[]

(modules/solid_mechanics/test/tests/lagrangian/axisymmetric_cylindrical/total/patch/small.i)

[GlobalParams]
  displacements = 'disp_r disp_z'
  large_kinematics = false
[]

[Mesh]
  [gmg]
    type = GeneratedMeshGenerator
    dim = 2
    nx = 2
    ny = 2
  []
[]

[Problem]
  coord_type = RZ
[]

[Variables]
  [disp_r]
  []
  [disp_z]
  []
[]

[Kernels]
  [sdr]
    type = TotalLagrangianStressDivergenceAxisymmetricCylindrical
    variable = disp_r
    component = 0
  []
  [sdz]
    type = TotalLagrangianStressDivergenceAxisymmetricCylindrical
    variable = disp_z
    component = 1
  []
[]

[BCs]
  [bottom]
    type = DirichletBC
    preset = false
    variable = disp_z
    boundary = bottom
    value = 0.0
  []
  [top]
    type = FunctionDirichletBC
    preset = false
    variable = disp_z
    boundary = top
    function = 't'
  []
[]

[Materials]
  [elastic_tensor]
    type = ComputeIsotropicElasticityTensor
    youngs_modulus = 1000.0
    poissons_ratio = 0.25
  []
  [compute_stress]
    type = ComputeLagrangianLinearElasticStress
    output_properties = 'pk1_stress'
    outputs = 'exodus'
  []
  [compute_strain]
    type = ComputeLagrangianStrainAxisymmetricCylindrical
    output_properties = 'mechanical_strain'
    outputs = 'exodus'
  []
[]

[Executioner]
  type = Transient

  solve_type = NEWTON

  petsc_options_iname = '-pc_type'
  petsc_options_value = 'lu'
  automatic_scaling = true

  nl_abs_tol = 1e-10
  nl_rel_tol = 1e-10

  dt = 0.1
  num_steps = 1
[]

[Outputs]
  exodus = true
[]

(modules/solid_mechanics/test/tests/eigenstrain/reducedOrderRZLinearConstant.i)

#
# This test checks whether the ComputeReducedOrderEigenstrain is functioning properly.
#
# If instead of 'fred', 'thermal_eigenstrain' is given to
# eigenstrain_names in the Physics/SolidMechanics/QuasiStatic/all block, the output will be
# identical since the thermal strain is constant in the elements.
#

[GlobalParams]
  displacements = 'disp_x disp_y'
  volumetric_locking_correction = false
[]

[Problem]
  coord_type = RZ
[]

[Mesh]
  type = GeneratedMesh
  dim = 2
  nx = 2
  ny = 1
  xmax = 3
  xmin = 1
  ymax = 1
  ymin = 0
[]

[Functions]
  [./tempBC]
    type = ParsedFunction
    expression = '700+2*t*t'
  [../]
[]

[Variables]
  [./temp]
    order = FIRST
    family = LAGRANGE
    initial_condition = 700
  [../]
[]

[AuxVariables]
  [./hydro_constant]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./hydro_first]
    order = FIRST
    family = MONOMIAL
  [../]
  [./hydro_second]
    order = SECOND
    family = MONOMIAL
  [../]
  [./sxx_constant]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./sxx_first]
    order = FIRST
    family = MONOMIAL
  [../]
  [./sxx_second]
    order = SECOND
    family = MONOMIAL
  [../]
  [./szz_constant]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./szz_first]
    order = FIRST
    family = MONOMIAL
  [../]
  [./szz_second]
    order = SECOND
    family = MONOMIAL
  [../]
[]

[Physics]
  [SolidMechanics]
    [QuasiStatic]
      [./all]
        add_variables = true
        strain = SMALL
        incremental = true
        temperature = temp
        eigenstrain_names = 'fred' #'thermal_eigenstrain'
      [../]
    [../]
  [../]
[]

[Kernels]
  [./heat]
    type = Diffusion
    variable = temp
  [../]
[]

[AuxKernels]
  [./hydro_constant_aux]
    type = RankTwoScalarAux
    variable = hydro_constant
    rank_two_tensor = stress
    scalar_type = Hydrostatic
  [../]
  [./hydro_first_aux]
    type = RankTwoScalarAux
    variable = hydro_first
    rank_two_tensor = stress
    scalar_type = Hydrostatic
  [../]
  [./hydro_second_aux]
    type = RankTwoScalarAux
    variable = hydro_second
    rank_two_tensor = stress
    scalar_type = Hydrostatic
  [../]
  [./sxx_constant_aux]
    type = RankTwoAux
    variable = sxx_constant
    rank_two_tensor = stress
    index_i = 0
    index_j = 0
  [../]
  [./sxx_first_aux]
    type = RankTwoAux
    variable = sxx_first
    rank_two_tensor = stress
    index_i = 0
    index_j = 0
  [../]
  [./sxx_second_aux]
    type = RankTwoAux
    variable = sxx_second
    rank_two_tensor = stress
    index_i = 0
    index_j = 0
  [../]
  [./szz_constant_aux]
    type = RankTwoAux
    variable = szz_constant
    rank_two_tensor = stress
    index_i = 2
    index_j = 2
  [../]
  [./szz_first_aux]
    type = RankTwoAux
    variable = szz_first
    rank_two_tensor = stress
    index_i = 2
    index_j = 2
  [../]
  [./szz_second_aux]
    type = RankTwoAux
    variable = szz_second
    rank_two_tensor = stress
    index_i = 2
    index_j = 2
  [../]
[]

[BCs]
  [./no_x]
    type = DirichletBC
    variable = disp_x
    boundary = left
    value = 0.0
  [../]
  [./no_y]
    type = DirichletBC
    variable = disp_y
    boundary = 'bottom top'
    value = 0.0
  [../]

  [./temp_right]
    type = FunctionDirichletBC
    variable = temp
    boundary = right
    function = tempBC
  [../]
  [./temp_left]
    type = FunctionDirichletBC
    variable = temp
    boundary = left
    function = tempBC
  [../]
[]


[Materials]
  [./fuel_stress]
    type = ComputeFiniteStrainElasticStress
  [../]
  [./elasticity_tensor]
    type = ComputeIsotropicElasticityTensor
    youngs_modulus = 1
    poissons_ratio = 0
  [../]
  [./fuel_thermal_expansion]
    type = ComputeThermalExpansionEigenstrain
    thermal_expansion_coeff = 1e-6
    temperature = temp
    stress_free_temperature = 700.0
    eigenstrain_name = 'thermal_eigenstrain'
  [../]
  [./reduced_order_eigenstrain]
    type = ComputeReducedOrderEigenstrain
    input_eigenstrain_names = 'thermal_eigenstrain'
    eigenstrain_name = 'fred'
  [../]
[]


[Preconditioning]
  [./SMP]
    type = SMP
    full = true
  [../]
[]

[Executioner]
  type = Transient
  solve_type = 'PJFNK'

  petsc_options = '-snes_ksp_ew '
  petsc_options_iname = '-ksp_gmres_restart -pc_type -pc_hypre_type'
  petsc_options_value = '70 hypre boomeramg'

  dt = 1
  num_steps = 10
  nl_rel_tol = 1e-8
[]

[Postprocessors]
  [./_dt]
    type = TimestepSize
  [../]
[]

[Outputs]
  exodus = true
[]

(modules/solid_mechanics/test/tests/weak_plane_tensile/large_deform1.i)

# rotate the mesh by 90degrees
# then pull in the z direction - should be no plasticity
[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]

[Mesh]
  type = GeneratedMesh
  dim = 3
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]

[Physics/SolidMechanics/QuasiStatic/all]
  strain = FINITE
  add_variables = true
  decomposition_method = EigenSolution
  generate_output = 'stress_xz stress_zx stress_yz stress_zz'
[]

[BCs]
  # rotate:
  # ynew = c*y + s*z.  znew = -s*y + c*z
  [bottomx]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = back
    function = '0'
  []
  [bottomy]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = back
    function = '0*y+1*z-y'
  []
  [bottomz]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = back
    function = '-1*y+0*z-z+if(t>0,0.5-y,0)' # note that this uses original nodal values of (x,y,z)
  []

  [topx]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = front
    function = '0'
  []
  [topy]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = front
    function = '0*y+1*z-y'
  []
  [topz]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = front
    function = '-1*y+0*z-z+if(t>0,0.5-y,0)' # note that this uses original nodal values of (x,y,z)
  []
[]

[AuxVariables]
  [yield_fcn]
    order = CONSTANT
    family = MONOMIAL
  []
[]

[AuxKernels]
  [yield_fcn_auxk]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 0
    variable = yield_fcn
  []
[]

[Postprocessors]
  [s_xz]
    type = PointValue
    point = '0 0 0'
    variable = stress_xz
  []
  [s_yz]
    type = PointValue
    point = '0 0 0'
    variable = stress_yz
  []
  [s_zz]
    type = PointValue
    point = '0 0 0'
    variable = stress_zz
  []
  [f]
    type = PointValue
    point = '0 0 0'
    variable = yield_fcn
  []
[]

[UserObjects]
  [str]
    type = SolidMechanicsHardeningConstant
    value = 1
  []
  [wpt]
    type = SolidMechanicsPlasticWeakPlaneTensile
    tensile_strength = str
    yield_function_tolerance = 1E-6
    internal_constraint_tolerance = 1E-5
  []
[]

[Materials]
  [elasticity_tensor]
    type = ComputeElasticityTensor
    fill_method = symmetric_isotropic
    C_ijkl = '0 1E6'
  []
  [mc]
    type = ComputeMultiPlasticityStress
    plastic_models = wpt
    transverse_direction = '0 0 1'
    ep_plastic_tolerance = 1E-5
  []
[]

[Executioner]
  start_time = -1
  end_time = 1
  dt = 1
  type = Transient
[]

[Outputs]
  exodus = true
[]

(modules/contact/test/tests/sliding_block/edge_dropping/two_equal_blocks_slide_3d.i)

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
  volumetric_locking_correction = true
[]

[Mesh]
  [left_block]
    type = GeneratedMeshGenerator
    dim = 3
    nx = 1
    ny = 1
    nz = 1
    xmin = -1.0
    xmax = 0.0
    ymin = -0.5
    ymax = 0.5
    zmin = -0.5
    zmax = 0.5
    elem_type = HEX8
  []
  [left_block_sidesets]
    type = RenameBoundaryGenerator
    input = left_block
    old_boundary = '0 1 2 3 4 5'
    new_boundary = 'left_bottom left_back left_right left_front left_left left_top'
  []
  [left_block_id]
    type = SubdomainIDGenerator
    input = left_block_sidesets
    subdomain_id = 1
  []

  [right_block]
    type = GeneratedMeshGenerator
    dim = 3
    nx = 2
    ny = 2
    nz = 2
    xmin = 0.0
    xmax = 1.0
    ymin = -0.5
    ymax = 0.5
    zmin = -0.5
    zmax = 0.5
    elem_type = HEX8
  []
  [right_block_sidesets]
    type = RenameBoundaryGenerator
    input = right_block
    old_boundary = '0 1 2 3 4 5'
    # new_boundary = 'right_bottom right_back right_right right_front right_left right_top'
    new_boundary = '100 101 102 103 104 105'
  []
  [right_block_sidesets_rename]
    type = RenameBoundaryGenerator
    input = right_block_sidesets
    old_boundary = '100 101 102 103 104 105'
    new_boundary = 'right_bottom right_back right_right right_front right_left right_top'
  []
  [right_block_id]
    type = SubdomainIDGenerator
    input = right_block_sidesets_rename
    subdomain_id = 2
  []

  [combined_mesh]
    type = MeshCollectionGenerator
    inputs = 'left_block_id right_block_id'
  []

  [left_lower]
    type = LowerDBlockFromSidesetGenerator
    input = combined_mesh
    sidesets = 'left_right'
    new_block_id = '10001'
    new_block_name = 'secondary_lower'
  []
  [right_lower]
    type = LowerDBlockFromSidesetGenerator
    input = left_lower
    sidesets = 'right_left'
    new_block_id = '10000'
    new_block_name = 'primary_lower'
  []
[]

[Variables]
  [normal_lm]
    block = 'secondary_lower'
    use_dual = true
  []
[]

[Physics/SolidMechanics/QuasiStatic]
  [all]
    strain = FINITE
    incremental = true
    add_variables = true
    block = '1 2'
  []
[]

[Functions]
  [horizontal_movement]
    type = PiecewiseLinear
    x = '0 0.1 4'
    y = '0 0.05 0.05'
  []
  [vertical_movement]
    type = PiecewiseLinear
    x = '0 0.1 4'
    y = '0 0 0.3'
  []
[]

[BCs]
  [push_left_x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'left_left'
    function = horizontal_movement
  []
  [push_left_y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'left_left'
    function = vertical_movement
  []
  [fix_left_z]
    type = DirichletBC
    variable = disp_z
    boundary = 'left_left'
    value = 0.0
  []
  [fix_right_x]
    type = DirichletBC
    variable = disp_x
    boundary = 'right_right'
    value = 0.0
  []
  [fix_right_y]
    type = DirichletBC
    variable = disp_y
    boundary = 'right_right'
    value = 0.0
  []
  [fix_right_z]
    type = DirichletBC
    variable = disp_z
    boundary = 'right_right'
    value = 0.0
  []
[]

[Materials]
  [elasticity_tensor_left]
    type = ComputeIsotropicElasticityTensor
    block = 1
    youngs_modulus = 1.0e6
    poissons_ratio = 0.3
  []
  [stress_left]
    type = ComputeFiniteStrainElasticStress
    block = 1
  []

  [elasticity_tensor_right]
    type = ComputeIsotropicElasticityTensor
    block = 2
    youngs_modulus = 1.0e6
    poissons_ratio = 0.3
  []
  [stress_right]
    type = ComputeFiniteStrainElasticStress
    block = 2
  []
[]

[UserObjects]
  [weighted_gap_uo]
    type = LMWeightedGapUserObject
    primary_boundary = '23'
    secondary_boundary = '11'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    lm_variable = normal_lm
    disp_x = disp_x
    disp_y = disp_y
    disp_z = disp_z
  []
[]

[Constraints]
  [normal_lm]
    type = ComputeWeightedGapLMMechanicalContact
    primary_boundary = 'right_left'
    secondary_boundary = 'left_right'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    variable = normal_lm
    disp_x = disp_x
    disp_y = disp_y
    disp_z = disp_z
    use_displaced_mesh = true
    correct_edge_dropping = true
    weighted_gap_uo = weighted_gap_uo
  []
  [normal_x]
    type = NormalMortarMechanicalContact
    primary_boundary = 'right_left'
    secondary_boundary = 'left_right'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    variable = normal_lm
    secondary_variable = disp_x
    component = x
    use_displaced_mesh = true
    compute_lm_residuals = false
    correct_edge_dropping = true
    weighted_gap_uo = weighted_gap_uo
  []
  [normal_y]
    type = NormalMortarMechanicalContact
    primary_boundary = 'right_left'
    secondary_boundary = 'left_right'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    variable = normal_lm
    secondary_variable = disp_y
    component = y
    use_displaced_mesh = true
    compute_lm_residuals = false
    correct_edge_dropping = true
    weighted_gap_uo = weighted_gap_uo
  []
  [normal_z]
    type = NormalMortarMechanicalContact
    primary_boundary = 'right_left'
    secondary_boundary = 'left_right'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    variable = normal_lm
    secondary_variable = disp_z
    component = z
    use_displaced_mesh = true
    compute_lm_residuals = false
    correct_edge_dropping = true
    weighted_gap_uo = weighted_gap_uo
  []
[]

[Preconditioning]
  [SMP]
    type = SMP
    full = true
  []
[]

[Executioner]
  type = Transient
  solve_type = 'PJFNK'

  petsc_options_iname = '-pc_type -pc_factor_mat_solver_type -pc_factor_shift_type '
                        '-pc_factor_shift_amount'
  petsc_options_value = 'lu    superlu_dist nonzero 1e-10'

  line_search = 'none'

  dt = 0.1
  dtmin = 0.01
  end_time = 0.4

  l_max_its = 20

  nl_max_its = 20
  nl_rel_tol = 1e-6
  nl_abs_tol = 1e-8
  snesmf_reuse_base = false
[]

[Outputs]
  csv = true
  execute_on = 'FINAL'
[]

[Postprocessors]
  [contact]
    type = ContactDOFSetSize
    variable = normal_lm
    subdomain = 'secondary_lower'
  []
  [normal_lm]
    type = ElementAverageValue
    variable = normal_lm
    block = 'secondary_lower'
  []
  [avg_disp_x]
    type = ElementAverageValue
    variable = disp_x
    block = '1 2'
  []
  [avg_disp_y]
    type = ElementAverageValue
    variable = disp_y
    block = '1 2'
  []
  [max_disp_x]
    type = ElementExtremeValue
    variable = disp_x
    block = '1 2'
  []
  [max_disp_y]
    type = ElementExtremeValue
    variable = disp_y
    block = '1 2'
  []
  [min_disp_x]
    type = ElementExtremeValue
    variable = disp_x
    block = '1 2'
    value_type = min
  []
  [min_disp_y]
    type = ElementExtremeValue
    variable = disp_y
    block = '1 2'
    value_type = min
  []
[]

(modules/contact/test/tests/mortar_tm/2d/frictionless_second/small.i)

E_block = 1e7
E_plank = 1e7
elem = QUAD9
order = SECOND
name = 'small'

[Mesh]
  patch_size = 80
  patch_update_strategy = auto
  [plank]
    type = GeneratedMeshGenerator
    dim = 2
    xmin = -0.3
    xmax = 0.3
    ymin = -10
    ymax = 10
    nx = 2
    ny = 67
    elem_type = ${elem}
    boundary_name_prefix = plank
  []
  [plank_id]
    type = SubdomainIDGenerator
    input = plank
    subdomain_id = 1
  []

  [block]
    type = GeneratedMeshGenerator
    dim = 2
    xmin = 0.31
    xmax = 0.91
    ymin = 7.7
    ymax = 8.5
    nx = 3
    ny = 4
    elem_type = ${elem}
    boundary_name_prefix = block
    boundary_id_offset = 10
  []
  [block_id]
    type = SubdomainIDGenerator
    input = block
    subdomain_id = 2
  []

  [combined]
    type = MeshCollectionGenerator
    inputs = 'plank_id block_id'
  []
  [block_rename]
    type = RenameBlockGenerator
    input = combined
    old_block = '1 2'
    new_block = 'plank block'
  []
[]

[GlobalParams]
  displacements = 'disp_x disp_y'
[]

[Variables]
  [disp_x]
    order = ${order}
    block = 'plank block'
    scaling = '${fparse 2.0 / (E_plank + E_block)}'
  []
  [disp_y]
    order = ${order}
    block = 'plank block'
    scaling = '${fparse 2.0 / (E_plank + E_block)}'
  []
[]

[Physics/SolidMechanics/QuasiStatic]
  [action]
    generate_output = 'stress_xx stress_yy stress_zz vonmises_stress hydrostatic_stress strain_xx '
                      'strain_yy strain_zz'
    block = 'plank block'
  []
[]

[Contact]
  [frictionless]
    primary = plank_right
    secondary = block_left
    formulation = mortar
    c_normal = 1e3
  []
[]

[BCs]
  [left_x]
    type = DirichletBC
    variable = disp_x
    boundary = plank_left
    value = 0.0
  []
  [left_y]
    type = DirichletBC
    variable = disp_y
    boundary = plank_bottom
    value = 0.0
  []
  [right_x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = block_right
    function = '-0.04*sin(4*(t+1.5))+0.02'
  []
  [right_y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = block_right
    function = '-t'
  []
[]

[Materials]
  [plank]
    type = ComputeIsotropicElasticityTensor
    block = 'plank'
    poissons_ratio = 0.3
    youngs_modulus = ${E_plank}
  []
  [block]
    type = ComputeIsotropicElasticityTensor
    block = 'block'
    poissons_ratio = 0.3
    youngs_modulus = ${E_block}
  []
  [stress]
    type = ComputeLinearElasticStress
    block = 'plank block'
  []
[]

[Preconditioning]
  [smp]
    type = SMP
    full = true
  []
[]

[Executioner]
  type = Transient
  solve_type = 'PJFNK'
  petsc_options = '-snes_converged_reason -ksp_converged_reason'
  petsc_options_iname = '-pc_type -mat_mffd_err -pc_factor_shift_type -pc_factor_shift_amount -pc_factor_mat_solver_type'
  petsc_options_value = 'lu       1e-5          NONZERO               1e-15                   mumps'
  end_time = 5.0
  dt = 0.1
  dtmin = 0.1
  timestep_tolerance = 1e-6
  line_search = 'none'
[]

[Postprocessors]
  [nl_its]
    type = NumNonlinearIterations
  []
  [total_nl_its]
    type = CumulativeValuePostprocessor
    postprocessor = nl_its
  []
  [l_its]
    type = NumLinearIterations
  []
  [total_l_its]
    type = CumulativeValuePostprocessor
    postprocessor = l_its
  []
  [contact]
    type = ContactDOFSetSize
    variable = frictionless_normal_lm
    subdomain = frictionless_secondary_subdomain
  []
  [avg_hydro]
    type = ElementAverageValue
    variable = hydrostatic_stress
    block = 'block'
  []
  [max_hydro]
    type = ElementExtremeValue
    variable = hydrostatic_stress
    block = 'block'
  []
  [min_hydro]
    type = ElementExtremeValue
    variable = hydrostatic_stress
    block = 'block'
    value_type = min
  []
  [avg_vonmises]
    type = ElementAverageValue
    variable = vonmises_stress
    block = 'block'
  []
  [max_vonmises]
    type = ElementExtremeValue
    variable = vonmises_stress
    block = 'block'
  []
  [min_vonmises]
    type = ElementExtremeValue
    variable = vonmises_stress
    block = 'block'
    value_type = min
  []
[]

[Outputs]
  file_base = ${name}
  [comp]
    type = CSV
    show = 'contact'
  []
  [out]
    type = CSV
    file_base = '${name}_out'
  []
[]

[Debug]
  show_var_residual_norms = true
[]

(modules/solid_mechanics/test/tests/jacobian_damper/cube_load_undisplaced.i)

[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
[]

[Functions]
  [top_pull]
    type = PiecewiseLinear
    x = '0 1     2'
    y = '0 0.025 0.05'
  []
[]

[Physics]
  [SolidMechanics]
    [QuasiStatic]
      displacements = 'disp_x disp_y disp_z'
      [all]
        displacements = 'disp_x disp_y disp_z'
        strain = FINITE
        add_variables = true
        new_system = true
        formulation = TOTAL
      []
    []
  []
[]

[BCs]
  [y_pull_function]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 3
    function = top_pull
    preset = true
  []
  [x_bot]
    type = DirichletBC
    variable = disp_x
    boundary = 4
    value = 0.0
  []
  [y_bot]
    type = DirichletBC
    variable = disp_y
    boundary = 1
    value = 0.0
  []
  [z_bot]
    type = DirichletBC
    variable = disp_z
    boundary = 0
    value = 0.0
  []
[]

[Materials]
  [elasticity_tensor]
    type = ComputeIsotropicElasticityTensor
    poissons_ratio = 0.3
    youngs_modulus = 2e5
  []
  [stress]
    type = ComputeLagrangianLinearElasticStress
    large_kinematics = true
  []
[]

[Dampers]
  [ejd]
    type = ReferenceElementJacobianDamper
    max_increment = 0.002
    displacements = 'disp_x disp_y disp_z'
  []
[]

[Executioner]
  type = Transient

  solve_type = NEWTON

  petsc_options_iname = '-pc_type'
  petsc_options_value = 'lu'

  line_search = 'none'

  nl_rel_tol = 1e-12
  nl_abs_tol = 1e-10
  start_time = 0.0
  end_time = 2
  dt = 1
[]

[Outputs]
  exodus = true
  print_linear_residuals = false
[]

(modules/contact/test/tests/sliding_block/edge_dropping/two_equal_blocks_slide_2d.i)

[GlobalParams]
  displacements = 'disp_x disp_y'
  volumetric_locking_correction = true
[]

[Mesh]
  [left_block]
    type = GeneratedMeshGenerator
    dim = 2
    xmin = -1.0
    xmax = 0.0
    ymin = -0.5
    ymax = 0.5
    nx = 4
    ny = 4
    elem_type = QUAD4
  []
  [left_block_sidesets]
    type = RenameBoundaryGenerator
    input = left_block
    old_boundary = '0 1 2 3'
    new_boundary = '10 11 12 13'
  []
  [left_block_id]
    type = SubdomainIDGenerator
    input = left_block_sidesets
    subdomain_id = 1
  []

  [right_block]
    type = GeneratedMeshGenerator
    dim = 2
    xmin = 0.0
    xmax = 1.0
    ymin = -0.5
    ymax = 0.5
    nx = 5
    ny = 5
    elem_type = QUAD4
  []
  [right_block_sidesets]
    type = RenameBoundaryGenerator
    input = right_block
    old_boundary = '0 1 2 3'
    new_boundary = '20 21 22 23'
  []
  [right_block_id]
    type = SubdomainIDGenerator
    input = right_block_sidesets
    subdomain_id = 2
  []

  [combined_mesh]
    type = MeshCollectionGenerator
    inputs = 'left_block_id right_block_id'
  []

  [left_lower]
    type = LowerDBlockFromSidesetGenerator
    input = combined_mesh
    sidesets = '11'
    new_block_id = '10001'
    new_block_name = 'secondary_lower'
  []
  [right_lower]
    type = LowerDBlockFromSidesetGenerator
    input = left_lower
    sidesets = '23'
    new_block_id = '10000'
    new_block_name = 'primary_lower'
  []
[]

[Variables]
  [normal_lm]
    block = 'secondary_lower'
    use_dual = true
  []
[]

[Physics/SolidMechanics/QuasiStatic]
  [all]
    strain = FINITE
    incremental = true
    add_variables = true
    block = '1 2'
  []
[]

[Functions]
  [horizontal_movement]
    type = PiecewiseLinear
    x = '0 0.1 4'
    y = '0 0.05 0.05'
  []
  [vertical_movement]
    type = PiecewiseLinear
    x = '0 0.1 4'
    y = '0 0 0.3'
  []
[]

[BCs]
  [push_left_x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 13
    function = horizontal_movement
  []
  [fix_right_x]
    type = DirichletBC
    variable = disp_x
    boundary = 21
    value = 0.0
  []
  [fix_right_y]
    type = DirichletBC
    variable = disp_y
    boundary = 21
    value = 0.0
  []
  [push_left_y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 13
    function = vertical_movement
  []
[]

[Materials]
  [elasticity_tensor_left]
    type = ComputeIsotropicElasticityTensor
    block = 1
    youngs_modulus = 1.0e6
    poissons_ratio = 0.3
  []
  [stress_left]
    type = ComputeFiniteStrainElasticStress
    block = 1
  []

  [elasticity_tensor_right]
    type = ComputeIsotropicElasticityTensor
    block = 2
    youngs_modulus = 1.0e6
    poissons_ratio = 0.3
  []
  [stress_right]
    type = ComputeFiniteStrainElasticStress
    block = 2
  []
[]

[UserObjects]
  [weighted_gap_uo]
    type = LMWeightedGapUserObject
    primary_boundary = '23'
    secondary_boundary = '11'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    lm_variable = normal_lm
    correct_edge_dropping = true
    disp_x = disp_x
    disp_y = disp_y
  []
[]

[Constraints]
  [normal_lm]
    type = ComputeWeightedGapLMMechanicalContact
    primary_boundary = '23'
    secondary_boundary = '11'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    variable = normal_lm
    disp_x = disp_x
    disp_y = disp_y
    use_displaced_mesh = true
    correct_edge_dropping = true
    weighted_gap_uo = weighted_gap_uo
  []
  [normal_x]
    type = NormalMortarMechanicalContact
    primary_boundary = '23'
    secondary_boundary = '11'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    variable = normal_lm
    secondary_variable = disp_x
    component = x
    use_displaced_mesh = true
    compute_lm_residuals = false
    correct_edge_dropping = true
    weighted_gap_uo = weighted_gap_uo
  []
  [normal_y]
    type = NormalMortarMechanicalContact
    primary_boundary = '23'
    secondary_boundary = '11'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    variable = normal_lm
    secondary_variable = disp_y
    component = y
    use_displaced_mesh = true
    compute_lm_residuals = false
    correct_edge_dropping = true
    weighted_gap_uo = weighted_gap_uo
  []
[]

[Preconditioning]
  [SMP]
    type = SMP
    full = true
  []
[]

[Executioner]
  type = Transient
  solve_type = 'PJFNK'

  petsc_options_iname = '-pc_type -pc_factor_mat_solver_type -pc_factor_shift_type '
                        '-pc_factor_shift_amount'
  petsc_options_value = 'lu    superlu_dist nonzero 1e-10'

  line_search = 'none'

  dt = 0.1
  dtmin = 0.01
  end_time = 1.0

  l_max_its = 20

  nl_max_its = 20
  nl_rel_tol = 1e-6
  nl_abs_tol = 1e-8
  snesmf_reuse_base = false
[]

[Outputs]
  csv = true
  execute_on = 'FINAL'
[]

[Postprocessors]
  [contact]
    type = ContactDOFSetSize
    variable = normal_lm
    subdomain = 'secondary_lower'
  []
  [normal_lm]
    type = ElementAverageValue
    variable = normal_lm
    block = 'secondary_lower'
  []
  [avg_disp_x]
    type = ElementAverageValue
    variable = disp_x
    block = '1 2'
  []
  [avg_disp_y]
    type = ElementAverageValue
    variable = disp_y
    block = '1 2'
  []
  [max_disp_x]
    type = ElementExtremeValue
    variable = disp_x
    block = '1 2'
  []
  [max_disp_y]
    type = ElementExtremeValue
    variable = disp_y
    block = '1 2'
  []
  [min_disp_x]
    type = ElementExtremeValue
    variable = disp_x
    block = '1 2'
    value_type = min
  []
  [min_disp_y]
    type = ElementExtremeValue
    variable = disp_y
    block = '1 2'
    value_type = min
  []
[]

(modules/contact/test/tests/mortar_cartesian_lms/frictionless-mortar-3d-friction.i)

starting_point = 0.25
offset = 0.00

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
  diffusivity = 1e0
  scaling = 1e0
[]

[Mesh]
  second_order = false
  [top_block]
    type = GeneratedMeshGenerator
    dim = 3
    nx = 3
    ny = 3
    nz = 3
    xmin = -0.25
    xmax = 0.25
    ymin = -0.25
    ymax = 0.25
    zmin = -0.25
    zmax = 0.25
    elem_type = HEX8
  []
  [rotate_top_block]
    type = TransformGenerator
    input = top_block
    transform = ROTATE
    vector_value = '0 0 0'
  []
  [top_block_sidesets]
    type = RenameBoundaryGenerator
    input = rotate_top_block
    old_boundary = '0 1 2 3 4 5'
    new_boundary = 'top_bottom top_back top_right top_front top_left top_top'
  []
  [top_block_id]
    type = SubdomainIDGenerator
    input = top_block_sidesets
    subdomain_id = 1
  []
  [bottom_block]
    type = GeneratedMeshGenerator
    dim = 3
    nx = 10
    ny = 10
    nz = 2
    xmin = -.5
    xmax = .5
    ymin = -.5
    ymax = .5
    zmin = -.3
    zmax = -.25
    elem_type = HEX8
  []
  [bottom_block_id]
    type = SubdomainIDGenerator
    input = bottom_block
    subdomain_id = 2
  []
  [bottom_block_change_boundary_id]
    type = RenameBoundaryGenerator
    input = bottom_block_id
    old_boundary = '0 1 2 3 4 5'
    new_boundary = '100 101 102 103 104 105'
  []
  [combined]
    type = MeshCollectionGenerator
    inputs = 'top_block_id bottom_block_change_boundary_id'
  []
  [block_rename]
    type = RenameBlockGenerator
    input = combined
    old_block = '1 2'
    new_block = 'top_block bottom_block'
  []
  [bottom_right_sideset]
    type = SideSetsAroundSubdomainGenerator
    input = block_rename
    new_boundary = bottom_right
    block = bottom_block
    normal = '1 0 0'
  []
  [bottom_left_sideset]
    type = SideSetsAroundSubdomainGenerator
    input = bottom_right_sideset
    new_boundary = bottom_left
    block = bottom_block
    normal = '-1 0 0'
  []
  [bottom_top_sideset]
    type = SideSetsAroundSubdomainGenerator
    input = bottom_left_sideset
    new_boundary = bottom_top
    block = bottom_block
    normal = '0 0 1'
  []
  [bottom_bottom_sideset]
    type = SideSetsAroundSubdomainGenerator
    input = bottom_top_sideset
    new_boundary = bottom_bottom
    block = bottom_block
    normal = '0  0 -1'
  []
  [bottom_front_sideset]
    type = SideSetsAroundSubdomainGenerator
    input = bottom_bottom_sideset
    new_boundary = bottom_front
    block = bottom_block
    normal = '0 1 0'
  []
  [bottom_back_sideset]
    type = SideSetsAroundSubdomainGenerator
    input = bottom_front_sideset
    new_boundary = bottom_back
    block = bottom_block
    normal = '0 -1 0'
  []
  [secondary]
    input = bottom_back_sideset
    type = LowerDBlockFromSidesetGenerator
    sidesets = 'top_bottom' # top_back top_left'
    new_block_id = '10001'
    new_block_name = 'secondary_lower'
  []
  [primary]
    input = secondary
    type = LowerDBlockFromSidesetGenerator
    sidesets = 'bottom_top'
    new_block_id = '10000'
    new_block_name = 'primary_lower'
  []
[]

[Variables]
  [disp_x]
    block = '1 2'
  []
  [disp_y]
    block = '1 2'
  []
  [disp_z]
    block = '1 2'
  []
  [lm_x]
    block = 'secondary_lower'
    use_dual = true
  []
  [lm_y]
    block = 'secondary_lower'
    use_dual = true
  []
  [lm_z]
    block = 'secondary_lower'
    use_dual = true
  []
[]

[ICs]
  [disp_z]
    block = 1
    variable = disp_z
    value = '${fparse offset}'
    type = ConstantIC
  []
  [disp_x]
    block = 1
    variable = disp_x
    value = 0
    type = ConstantIC
  []
  [disp_y]
    block = 1
    variable = disp_y
    value = 0
    type = ConstantIC
  []
[]

[Kernels]
  [disp_x]
    type = MatDiffusion
    variable = disp_x
  []
  [disp_y]
    type = MatDiffusion
    variable = disp_y
  []
  [disp_z]
    type = MatDiffusion
    variable = disp_z
  []
[]

[Constraints]
  [weighted_gap_lm]
    type = ComputeFrictionalForceCartesianLMMechanicalContact
    primary_boundary = 'bottom_top'
    secondary_boundary = 'top_bottom'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    lm_x = lm_x
    lm_y = lm_y
    lm_z = lm_z
    variable = lm_x # This can be anything really
    disp_x = disp_x
    disp_y = disp_y
    disp_z = disp_z
    use_displaced_mesh = true
    correct_edge_dropping = true
    c = 1e+02
    c_t = 1e+2
    mu = 0.10
  []
  [normal_x]
    type = CartesianMortarMechanicalContact
    primary_boundary = 'bottom_top'
    secondary_boundary = 'top_bottom'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    variable = lm_x
    secondary_variable = disp_x
    component = x
    use_displaced_mesh = true
    compute_lm_residuals = false
    correct_edge_dropping = true
  []
  [normal_y]
    type = CartesianMortarMechanicalContact
    primary_boundary = 'bottom_top'
    secondary_boundary = 'top_bottom'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    variable = lm_y
    secondary_variable = disp_y
    component = y
    use_displaced_mesh = true
    compute_lm_residuals = false
    correct_edge_dropping = true
  []
  [normal_z]
    type = CartesianMortarMechanicalContact
    primary_boundary = 'bottom_top'
    secondary_boundary = 'top_bottom'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    variable = lm_z
    secondary_variable = disp_z
    component = z
    use_displaced_mesh = true
    compute_lm_residuals = false
    correct_edge_dropping = true
  []
[]

[BCs]
  [botx]
    type = DirichletBC
    variable = disp_x
    boundary = 'bottom_left bottom_right bottom_front bottom_back'
    value = 0.0
  []
  [boty]
    type = DirichletBC
    variable = disp_y
    boundary = 'bottom_left bottom_right bottom_front bottom_back'
    value = 0.0
  []
  [botz]
    type = DirichletBC
    variable = disp_z
    boundary = 'bottom_left bottom_right bottom_front bottom_back'
    value = 0.0
  []
  [topx]
    type = DirichletBC
    variable = disp_x
    boundary = 'top_top'
    value = 0.0
  []
  [topy]
    type = DirichletBC
    variable = disp_y
    boundary = 'top_top'
    value = 0.0
  []
  [topz]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'top_top'
    function = '-${starting_point} * sin(2 * pi / 40 * t) + ${offset}'
  []
[]

[Preconditioning]
  [vcp]
    type = VCP
    full = true
    lm_variable = 'lm_x lm_y lm_z'
    primary_variable = 'disp_x disp_y disp_z'
    preconditioner = 'LU'
    is_lm_coupling_diagonal = true
    adaptive_condensation = true
  []
[]

[Executioner]
  type = Transient
  end_time = 1
  dt = .5
  dtmin = .01
  solve_type = 'NEWTON'
  petsc_options_iname = '-pc_factor_shift_type -pc_factor_shift_amount'
  petsc_options_value = ' NONZERO               1e-10'
  l_max_its = 100
  nl_max_its = 30
  # nl_rel_tol = 1e-6
  nl_abs_tol = 1e-12
  line_search = 'none'
  snesmf_reuse_base = false
[]

[Debug]
  show_var_residual_norms = true
[]

[Outputs]
  perf_graph = true
  exodus = true
  csv = true
[]

[Postprocessors]
  active = 'num_nl cumulative contact'
  [num_nl]
    type = NumNonlinearIterations
  []
  [cumulative]
    type = CumulativeValuePostprocessor
    postprocessor = num_nl
  []
  [contact]
    type = ContactDOFSetSize
    variable = lm_z
    subdomain = 'secondary_lower'
    execute_on = 'nonlinear timestep_end'
  []
[]

[VectorPostprocessors]
  [contact-pressure]
    type = NodalValueSampler
    block = secondary_lower
    variable = lm_z
    sort_by = 'id'
    execute_on = NONLINEAR
  []
[]

(modules/contact/test/tests/mechanical_constraint/frictionless_kinematic_gap_offsets.i)

# this test is the same as frictionless_kinematic test but designed to test the gap offset capability
# gap offsets with value of 0.01 were introduced to both primary and secondary sides in the initial mesh
# these values were accounted using the gap offset capability to produce the same result as if no gap offsets were introduced
[Mesh]
  file = blocks_2d_gap_offset.e
[]

[GlobalParams]
  displacements = 'disp_x disp_y'
[]

[AuxVariables]
  [./inc_slip_x]
  [../]
  [./inc_slip_y]
  [../]
  [./accum_slip_x]
  [../]
  [./accum_slip_y]
  [../]
  [./primary_gap_offset]
  [../]
  [./secondary_gap_offset]
  [../]
  [./mapped_primary_gap_offset]
  [../]
[]

[Functions]
  [./vertical_movement]
    type = ParsedFunction
    expression = -t
  [../]
[]

[Physics/SolidMechanics/QuasiStatic]
  [./all]
    add_variables = true
    strain = FINITE
  [../]
[]

[AuxKernels]
  [./zeroslip_x]
    type = ConstantAux
    variable = inc_slip_x
    boundary = 3
    execute_on = timestep_begin
    value = 0.0
  [../]
  [./zeroslip_y]
    type = ConstantAux
    variable = inc_slip_y
    boundary = 3
    execute_on = timestep_begin
    value = 0.0
  [../]
  [./accum_slip_x]
    type = AccumulateAux
    variable = accum_slip_x
    accumulate_from_variable = inc_slip_x
    execute_on = timestep_end
  [../]
  [./accum_slip_y]
    type = AccumulateAux
    variable = accum_slip_y
    accumulate_from_variable = inc_slip_y
    execute_on = timestep_end
  [../]
  [./primary_gap_offset]
    type = ConstantAux
    variable = primary_gap_offset
    value = -0.01
    boundary = 2
  [../]
  [./mapped_primary_gap_offset]
    type = GapValueAux
    variable = mapped_primary_gap_offset
    paired_variable = primary_gap_offset
    boundary = 3
    paired_boundary = 2
  [../]
  [./secondary_gap_offset]
    type = ConstantAux
    variable = secondary_gap_offset
    value = -0.01
    boundary = 3
  [../]
[]

[BCs]
  [./left_x]
    type = DirichletBC
    variable = disp_x
    boundary = 1
    value = 0.0
  [../]
  [./left_y]
    type = DirichletBC
    variable = disp_y
    boundary = 1
    value = 0.0
  [../]
  [./right_x]
    type = DirichletBC
    variable = disp_x
    boundary = 4
    value = -0.02
  [../]
  [./right_y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 4
    function = vertical_movement
  [../]
[]

[Materials]
  [./left]
    type = ComputeIsotropicElasticityTensor
    block = 1
    poissons_ratio = 0.3
    youngs_modulus = 1e7
  [../]
  [./right]
    type = ComputeIsotropicElasticityTensor
    block = 2
    poissons_ratio = 0.3
    youngs_modulus = 1e6
  [../]
  [./stress]
    type = ComputeFiniteStrainElasticStress
    block = '1 2'
  [../]
[]

[Executioner]
  type = Transient

  solve_type = 'PJFNK'

  petsc_options_iname = '-pc_type'
  petsc_options_value = 'lu'

  line_search = 'none'

  l_max_its = 100
  nl_max_its = 1000
  dt = 0.01
  end_time = 0.10
  num_steps = 1000
  l_tol = 1e-6
  nl_rel_tol = 1e-10
  nl_abs_tol = 1e-8
  dtmin = 0.01

  [./Predictor]
    type = SimplePredictor
    scale = 1.0
  [../]
[]

[Outputs]
  file_base = frictionless_kinematic_gap_offsets_out
  [./exodus]
    type = Exodus
    elemental_as_nodal = true
  [../]
  [./console]
    type = Console
    max_rows = 5
  [../]
[]

[Contact]
  [./leftright]
    primary = 2
    secondary = 3
    model = frictionless
    penalty = 1e+6
    secondary_gap_offset = secondary_gap_offset
    mapped_primary_gap_offset = mapped_primary_gap_offset
  [../]
[]

(modules/navier_stokes/test/tests/finite_element/ins/RZ_cone/RZ_cone_no_parts.i)

# This input file tests several different things:
# .) The axisymmetric (RZ) form of the governing equations.
# .) An open boundary.
# .) Not integrating the pressure by parts, thereby requiring a pressure pin.
# .) Natural boundary condition at the outlet.
[GlobalParams]
  integrate_p_by_parts = false
  laplace = false
  gravity = '0 0 0'
[]

[Mesh]
  file = '2d_cone.msh'
[]

[Problem]
  coord_type = RZ
[]

[Preconditioning]
  [./SMP_PJFNK]
    type = SMP
    full = true
    solve_type = Newton
  [../]
[]

[Executioner]
  type = Transient
  dt = 0.005
  dtmin = 0.005
  num_steps = 5
  l_max_its = 100

  # Note: The Steady executioner can be used for this problem, if you
  # drop the INSMomentumTimeDerivative kernels and use the following
  # direct solver options.
  # petsc_options_iname = '-pc_type -pc_factor_shift_type -pc_factor_shift_amount -ksp_type'
  # petsc_options_value = 'lu NONZERO 1.e-10 preonly'

  # Block Jacobi works well for this problem, as does "-pc_type asm
  # -pc_asm_overlap 2", but an overlap of 1 does not work for some
  # reason?
  petsc_options_iname = '-pc_type -sub_pc_type -sub_pc_factor_levels'
  petsc_options_value = 'bjacobi  ilu          4'

  nl_rel_tol = 1e-12
  nl_max_its = 6
[]

[Outputs]
  console = true
  [./out]
    type = Exodus
  [../]
[]

[Variables]
  [./vel_x]
    # Velocity in radial (r) direction
    family = LAGRANGE
    order = SECOND
  [../]
  [./vel_y]
    # Velocity in axial (z) direction
    family = LAGRANGE
    order = SECOND
  [../]
  [./p]
    family = LAGRANGE
    order = FIRST
  [../]
[]

[BCs]
  [./p_corner]
    # This is required, because pressure term is *not* integrated by parts.
    type = DirichletBC
    boundary = top_right
    value = 0
    variable = p
  [../]
  [./u_out]
    type = INSMomentumNoBCBCTractionForm
    boundary = top
    variable = vel_x
    u = vel_x
    v = vel_y
    pressure = p
    component = 0
  [../]
  [./v_out]
    type = INSMomentumNoBCBCTractionForm
    boundary = top
    variable = vel_y
    u = vel_x
    v = vel_y
    pressure = p
    component = 1
  [../]
  [./u_in]
    type = DirichletBC
    boundary = bottom
    variable = vel_x
    value = 0
  [../]
  [./v_in]
    type = FunctionDirichletBC
    boundary = bottom
    variable = vel_y
    function = 'inlet_func'
  [../]
  [./u_axis_and_walls]
    type = DirichletBC
    boundary = 'left right'
    variable = vel_x
    value = 0
  [../]
  [./v_no_slip]
    type = DirichletBC
    boundary = 'right'
    variable = vel_y
    value = 0
  [../]
[]


[Kernels]
  [./x_momentum_time]
    type = INSMomentumTimeDerivative
    variable = vel_x
  [../]
  [./y_momentum_time]
    type = INSMomentumTimeDerivative
    variable = vel_y
  [../]
  [./mass]
    type = INSMassRZ
    variable = p
    u = vel_x
    v = vel_y
    pressure = p
  [../]
  [./x_momentum_space]
    type = INSMomentumTractionFormRZ
    variable = vel_x
    u = vel_x
    v = vel_y
    pressure = p
    component = 0
  [../]
  [./y_momentum_space]
    type = INSMomentumTractionFormRZ
    variable = vel_y
    u = vel_x
    v = vel_y
    pressure = p
    component = 1
  [../]
[]

[Materials]
  [./const]
    type = GenericConstantMaterial
    block = 'volume'
    prop_names = 'rho mu'
    prop_values = '1  1'
  [../]
[]

[Functions]
  [./inlet_func]
    type = ParsedFunction
    expression = '-4 * x^2 + 1'
  [../]
[]

[Postprocessors]
  [./flow_in]
    type = VolumetricFlowRate
    vel_x = vel_x
    vel_y = vel_y
    boundary = 'bottom'
    outputs = 'console'    execute_on = 'timestep_end'
  [../]
  [./flow_out]
    type = VolumetricFlowRate
    vel_x = vel_x
    vel_y = vel_y
    boundary = 'top'
    outputs = 'console'    execute_on = 'timestep_end'
  [../]
[]

(modules/contact/test/tests/cohesive_zone_model/mortar_czm_analysis.i)

[Mesh]
  [msh]
    type = GeneratedMeshGenerator
    dim = 2
    xmax = 1
    ymax = 1
    nx = 5
    ny = 5
    boundary_name_prefix = bottom
  []
  [msh_id]
    type = SubdomainIDGenerator
    input = msh
    subdomain_id = 1
  []
  [msh_two]
    type = GeneratedMeshGenerator
    dim = 2
    xmax = 1
    ymin = 1
    ymax = 2
    nx = 5
    ny = 5
    boundary_name_prefix = top
    boundary_id_offset = 10
  []
  [msh_two_id]
    type = SubdomainIDGenerator
    input = msh_two
    subdomain_id = 2
  []
  [combined]
    type = MeshCollectionGenerator
    inputs = 'msh_id msh_two_id'
  []
  [top_node]
    type = ExtraNodesetGenerator
    coord = '0 2 0'
    input = combined
    new_boundary = top_node
  []
  [bottom_node]
    type = ExtraNodesetGenerator
    coord = '0 0 0'
    input = top_node
    new_boundary = bottom_node
  []
  # Build subdomains
  [secondary]
    type = LowerDBlockFromSidesetGenerator
    new_block_id = 10001
    new_block_name = 'secondary_lower'
    sidesets = 'bottom_top'
    input = bottom_node
  []
  [primary]
    type = LowerDBlockFromSidesetGenerator
    new_block_id = 10000
    sidesets = 'top_bottom'
    new_block_name = 'primary_lower'
    input = secondary
  []
  allow_renumbering = false
[]

[GlobalParams]
  displacements = 'disp_x disp_y'
[]

[Physics]
  [SolidMechanics]
    [QuasiStatic]
      generate_output = 'stress_yy'
      [all]
        strain = FINITE
        add_variables = true
        use_automatic_differentiation = true
        decomposition_method = TaylorExpansion
        block = '1 2'
      []
    []
  []
[]

[BCs]
  [fix_x]
    type = DirichletBC
    preset = true
    value = 0.0
    boundary = bottom_node
    variable = disp_x
  []
  [lateral_top]
    type = FunctionDirichletBC
    boundary = top_top
    variable = disp_x
    function = 'if(t<=0.3,t,if(t<=0.6,0.3-(t-0.3),0.6-t))'
    preset = true
  []
  [top]
    type = FunctionDirichletBC
    boundary = top_top
    variable = disp_y
    function = 'if(t<=0.3,t,if(t<=0.6,0.3-(t-0.3),0.6-t))'
    preset = true
  []
  [bottom]
    type = DirichletBC
    boundary = bottom_bottom
    variable = disp_y
    value = 0
    preset = true
  []
[]

[AuxVariables]
  [mode_mixity_ratio]
  []
  [damage]
  []
  [local_normal_jump]
  []
  [local_tangential_jump]
  []
[]

[AuxKernels]
  [mode_mixity_ratio]
    type = CohesiveZoneMortarUserObjectAux
    variable = mode_mixity_ratio
    user_object = czm_uo
    cohesive_zone_quantity = mode_mixity_ratio
    boundary = 'bottom_top'
  []
  [cohesive_damage]
    type = CohesiveZoneMortarUserObjectAux
    variable = damage
    user_object = czm_uo
    cohesive_zone_quantity = cohesive_damage
    boundary = 'bottom_top'
  []
  [local_normal_jump]
    type = CohesiveZoneMortarUserObjectAux
    variable = local_normal_jump
    user_object = czm_uo
    cohesive_zone_quantity = local_normal_jump
    boundary = 'bottom_top'
  []
  [local_tangential_jump]
    type = CohesiveZoneMortarUserObjectAux
    variable = local_tangential_jump
    user_object = czm_uo
    cohesive_zone_quantity = local_tangential_jump
    boundary = 'bottom_top'
  []
[]

[Materials]
  [stress]
    type = ADComputeFiniteStrainElasticStress
    block = '1 2'
  []
  [elasticity_tensor]
    type = ADComputeElasticityTensor
    fill_method = symmetric9
    C_ijkl = '1.684e5 0.176e5 0.176e5 1.684e5 0.176e5 1.684e5 0.754e5 0.754e5 0.754e5'
    block = '1 2'
  []
  [normal_strength]
    type = GenericFunctionMaterial
    prop_names = 'N'
    prop_values = 'if(x<0.5,1,100)*1e4'
  []
[]

[Preconditioning]
  [smp]
    type = SMP
    full = true
  []
[]

[Executioner]
  type = Transient
  solve_type = 'NEWTON'
  line_search = none

  petsc_options_iname = '-pc_type'
  petsc_options_value = 'lu'

  automatic_scaling = true

  l_max_its = 2
  l_tol = 1e-14
  nl_max_its = 30
  nl_rel_tol = 1e-10
  nl_abs_tol = 1e-10
  start_time = 0.0
  dt = 0.0005
  end_time = 0.01
  dtmin = 0.0001
[]

[Outputs]
  exodus = true
[]

[UserObjects]
  [czm_uo]
    type = BilinearMixedModeCohesiveZoneModel
    primary_boundary = 'top_bottom'
    secondary_boundary = 'bottom_top'
    primary_subdomain = 10000
    secondary_subdomain = 10001

    disp_x = disp_x
    disp_y = disp_y
    friction_coefficient = 0.1 # with 2.0 works
    secondary_variable = disp_x

    penalty = 0e6
    penalty_friction = 1e4
    use_physical_gap = true

    correct_edge_dropping = true
    normal_strength = N
    shear_strength = 1e3
    viscosity = 1e-3
    penalty_stiffness = 1e6
    mixed_mode_criterion = POWER_LAW

    power_law_parameter = 2.2
    GI_c = 1e3
    GII_c = 1e2
    displacements = 'disp_x disp_y'
  []
[]

[Constraints]
  [x]
    type = NormalMortarMechanicalContact
    primary_boundary = 'top_bottom'
    secondary_boundary = 'bottom_top'
    primary_subdomain = 10000
    secondary_subdomain = 10001
    secondary_variable = disp_x
    component = x
    use_displaced_mesh = true
    compute_lm_residuals = false
    weighted_gap_uo = czm_uo
    correct_edge_dropping = true
  []
  [y]
    type = NormalMortarMechanicalContact
    primary_boundary = 'top_bottom'
    secondary_boundary = 'bottom_top'
    primary_subdomain = 10000
    secondary_subdomain = 10001
    secondary_variable = disp_y
    component = y
    use_displaced_mesh = true
    compute_lm_residuals = false
    weighted_gap_uo = czm_uo
    correct_edge_dropping = true
  []
  [c_x]
    type = MortarGenericTraction
    primary_boundary = 'top_bottom'
    secondary_boundary = 'bottom_top'
    primary_subdomain = 10000
    secondary_subdomain = 10001
    secondary_variable = disp_x
    component = x
    use_displaced_mesh = true
    compute_lm_residuals = false
    cohesive_zone_uo = czm_uo
    correct_edge_dropping = true
  []
  [c_y]
    type = MortarGenericTraction
    primary_boundary = 'top_bottom'
    secondary_boundary = 'bottom_top'
    primary_subdomain = 10000
    secondary_subdomain = 10001
    secondary_variable = disp_y
    component = y
    use_displaced_mesh = true
    compute_lm_residuals = false
    cohesive_zone_uo = czm_uo
    correct_edge_dropping = true
  []
[]

(modules/contact/test/tests/mortar_cartesian_lms/cylinder_friction_cartesian_pg.i)

[GlobalParams]
  volumetric_locking_correction = true
  displacements = 'disp_x disp_y'
[]

[Mesh]
  [input_file]
    type = FileMeshGenerator
    file = hertz_cyl_coarser.e
  []
  [secondary]
    type = LowerDBlockFromSidesetGenerator
    new_block_id = 10001
    new_block_name = 'secondary_lower'
    sidesets = '3'
    input = input_file
  []
  [primary]
    type = LowerDBlockFromSidesetGenerator
    new_block_id = 10000
    sidesets = '2'
    new_block_name = 'primary_lower'
    input = secondary
  []
[]

[Problem]
  type = ReferenceResidualProblem
  extra_tag_vectors = 'ref'
  reference_vector = 'ref'
  converge_on = 'disp_x disp_y'
[]

[Variables]
  [disp_x]
  []
  [disp_y]
  []
  [lm_x]
    block = 'secondary_lower'
    use_dual = true
    scaling = 1.0e-5
  []
  [lm_y]
    block = 'secondary_lower'
    use_dual = true
    scaling = 1.0e-5
  []
[]

[AuxVariables]
  [aux_lm]
    block = 'secondary_lower'
    use_dual = false
  []
[]

[AuxVariables]
  [stress_xx]
    order = CONSTANT
    family = MONOMIAL
  []
  [stress_yy]
    order = CONSTANT
    family = MONOMIAL
  []
  [stress_xy]
    order = CONSTANT
    family = MONOMIAL
  []
  [saved_x]
  []
  [saved_y]
  []
  [diag_saved_x]
  []
  [diag_saved_y]
  []
[]

[Functions]
  [disp_ramp_vert]
    type = PiecewiseLinear
    x = '0. 1. 3.5'
    y = '0. -0.020 -0.020'
  []
  [disp_ramp_horz]
    type = PiecewiseLinear
    x = '0. 1. 3.5'
    y = '0. 0.0 0.015'
  []
[]

[Physics/SolidMechanics/QuasiStatic]
  [all]
    incremental = false
    save_in = 'saved_x saved_y'
    extra_vector_tags = 'ref'
    block = '1 2 3 4 5 6 7'
    strain = SMALL
    add_variables = false
  []
[]

[AuxKernels]
  [stress_xx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xx
    index_i = 0
    index_j = 0
    execute_on = timestep_end
    block = '1 2 3 4 5 6 7'
  []
  [stress_yy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yy
    index_i = 1
    index_j = 1
    execute_on = timestep_end
    block = '1 2 3 4 5 6 7'
  []
  [stress_xy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xy
    index_i = 0
    index_j = 1
    execute_on = timestep_end
    block = '1 2 3 4 5 6 7'
  []
[]

[Postprocessors]
  [bot_react_x]
    type = NodalSum
    variable = saved_x
    boundary = 1
  []
  [bot_react_y]
    type = NodalSum
    variable = saved_y
    boundary = 1
  []
  [top_react_x]
    type = NodalSum
    variable = saved_x
    boundary = 4
  []
  [top_react_y]
    type = NodalSum
    variable = saved_y
    boundary = 4
  []
  [_dt]
    type = TimestepSize
  []
[]

[BCs]
  [side_x]
    type = DirichletBC
    variable = disp_y
    boundary = '1 2'
    value = 0.0
  []
  [bot_y]
    type = DirichletBC
    variable = disp_x
    boundary = '1 2'
    value = 0.0
  []
  [top_y_disp]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 4
    function = disp_ramp_vert
  []
  [top_x_disp]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 4
    function = disp_ramp_horz
  []
[]

[Materials]
  [stuff1_elas_tens]
    type = ComputeIsotropicElasticityTensor
    block = '1'
    youngs_modulus = 1e10
    poissons_ratio = 0.0
  []
  [stuff2_elas_tens]
    type = ComputeIsotropicElasticityTensor
    block = '2 3 4 5 6 7'
    youngs_modulus = 1e6
    poissons_ratio = 0.3
  []
  [stuff1_stress]
    type = ComputeLinearElasticStress
    block = '1'
  []
  [stuff2_stress]
    type = ComputeLinearElasticStress
    block = '2 3 4 5 6 7'
  []
[]

[Executioner]
  type = Transient
  solve_type = 'NEWTON'

  petsc_options = '-snes_converged_reason -ksp_converged_reason -pc_svd_monitor '
                  '-snes_linesearch_monitor'
  petsc_options_iname = '-pc_type   -pc_factor_shift_type -pc_factor_shift_amount'
  petsc_options_value = 'lu          NONZERO               1e-12'
  line_search = 'none'
  nl_abs_tol = 1e-7
  l_max_its = 5
  nl_rel_tol = 1e-09
  start_time = -0.1
  end_time = 0.3 # 3.5
  l_tol = 1e-8
  dt = 0.1
  dtmin = 0.001
[]

[Preconditioning]
  [SMP]
    type = SMP
    full = true
  []
[]

[VectorPostprocessors]
  [x_disp]
    type = NodalValueSampler
    variable = disp_x
    boundary = '3 4'
    sort_by = id
  []
  [y_disp]
    type = NodalValueSampler
    variable = disp_y
    boundary = '3 4'
    sort_by = id
  []
  [lm_x]
    type = NodalValueSampler
    variable = lm_x
    boundary = '3'
    sort_by = id
  []
  [lm_y]
    type = NodalValueSampler
    variable = lm_y
    boundary = '3'
    sort_by = id
  []
[]

[Outputs]
  print_linear_residuals = true
  perf_graph = true
  exodus = true
  csv = false
  [console]
    type = Console
    max_rows = 5
  []
  [chkfile]
    type = CSV
    show = 'x_disp y_disp lm_x lm_y'
    file_base = cylinder_friction_check
    create_final_symlink = true
    execute_on = 'FINAL'
  []
[]

[Constraints]
  [weighted_gap_lm]
    type = ComputeFrictionalForceCartesianLMMechanicalContact
    primary_boundary = 2
    secondary_boundary = 3
    primary_subdomain = 10000
    secondary_subdomain = 10001
    lm_x = lm_x
    lm_y = lm_y
    variable = lm_x
    disp_x = disp_x
    disp_y = disp_y
    use_displaced_mesh = true
    correct_edge_dropping = false
    mu = 0.4
    c_t = 1.0e6
    c = 1.0e6
    use_petrov_galerkin = true
    aux_lm = aux_lm
  []
  [x]
    type = CartesianMortarMechanicalContact
    primary_boundary = '2'
    secondary_boundary = '3'
    primary_subdomain = '10000'
    secondary_subdomain = '10001'
    variable = lm_x
    secondary_variable = disp_x
    component = x
    use_displaced_mesh = true
    compute_lm_residuals = false
    correct_edge_dropping = false
  []
  [y]
    type = CartesianMortarMechanicalContact
    primary_boundary = '2'
    secondary_boundary = '3'
    primary_subdomain = '10000'
    secondary_subdomain = '10001'
    variable = lm_y
    secondary_variable = disp_y
    component = y
    use_displaced_mesh = true
    compute_lm_residuals = false
    correct_edge_dropping = false
  []

[]

(test/tests/time_steppers/postprocessor_dt/postprocessor_dt.i)

[Mesh]
  type = GeneratedMesh
  dim = 2
  xmin = -1
  xmax =  1
  ymin = -1
  ymax =  1
  nx = 2
  ny = 2
  elem_type = QUAD9
[]

[Functions]
  [./exact_fn]
    type = ParsedFunction
    expression = t*t*(x*x+y*y)
  [../]

  [./forcing_fn]
    type = ParsedFunction
    expression = 2*t*(x*x+y*y)-4*t*t
  [../]
[]

[Variables]
  [./u]
    family = LAGRANGE
    order = SECOND
  [../]
[]

[ICs]
  [./u_var]
    type = FunctionIC
    variable = u
    function = exact_fn
  [../]
[]

[Kernels]
  [./td]
    type = TimeDerivative
    variable = u
  [../]

  [./diff]
    type = Diffusion
    variable = u
  [../]

  [./ffn]
    type = BodyForce
    variable = u
    function = forcing_fn
  [../]
[]

[BCs]
  [./all]
    type = FunctionDirichletBC
    variable = u
    boundary = 'left right top bottom'
    function = exact_fn
  [../]
[]

[Postprocessors]
  [./l2_error]
    type = ElementL2Error
    variable = u
    function = exact_fn
    execute_on = 'initial timestep_end'
  [../]

  # Just use some postprocessor that gives values good enough for time stepping ;-)
  [./dt]
    type = ElementAverageValue
    variable = u
    execute_on = 'initial timestep_end'
  [../]
[]

[Executioner]
  type = Transient
  scheme = 'crank-nicolson'

  start_time = 1.0
  num_steps = 2
  [./TimeStepper]
    type = PostprocessorDT
    postprocessor = dt
  [../]
[]

[Outputs]
  exodus = true
[]

(test/tests/geomsearch/3d_moving_penetration/pl_test4.i)

[GlobalParams]
  order = FIRST
  family = LAGRANGE
[]

[Mesh]
  file = pl_test4.e
  displacements = 'disp_x disp_y disp_z'
[]

[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
[]

[AuxVariables]
  [./distance]
  [../]
  [./tangential_distance]
  [../]
  [./normal_x]
  [../]
  [./normal_y]
  [../]
  [./normal_z]
  [../]
  [./closest_point_x]
  [../]
  [./closest_point_y]
  [../]
  [./closest_point_z]
  [../]
  [./element_id]
  [../]
  [./side]
  [../]
[]

[Kernels]
  [./diff_x]
    type = Diffusion
    variable = disp_x
  [../]
  [./diff_y]
    type = Diffusion
    variable = disp_y
  [../]
  [./diff_z]
    type = Diffusion
    variable = disp_z
  [../]
[]

[AuxKernels]
  [./penetrate]
    type = PenetrationAux
    variable = distance
    boundary = 11            #secondary
    paired_boundary = 12     #primary
  [../]

  [./penetrate2]
    type = PenetrationAux
    variable = distance
    boundary = 12            #secondary
    paired_boundary = 11     #primary
  [../]

  [./penetrate3]
    type = PenetrationAux
    variable = tangential_distance
    boundary = 11
    paired_boundary = 12
    quantity = tangential_distance
  [../]

  [./penetrate4]
    type = PenetrationAux
    variable = tangential_distance
    boundary = 12
    paired_boundary = 11
    quantity = tangential_distance
  [../]

  [./penetrate5]
    type = PenetrationAux
    variable = normal_x
    boundary = 11
    paired_boundary = 12
    quantity = normal_x
  [../]

  [./penetrate6]
    type = PenetrationAux
    variable = normal_x
    boundary = 12
    paired_boundary = 11
    quantity = normal_x
  [../]

  [./penetrate7]
    type = PenetrationAux
    variable = normal_y
    boundary = 11
    paired_boundary = 12
    quantity = normal_y
  [../]

  [./penetrate8]
    type = PenetrationAux
    variable = normal_y
    boundary = 12
    paired_boundary = 11
    quantity = normal_y
  [../]

  [./penetrate9]
    type = PenetrationAux
    variable = normal_z
    boundary = 11
    paired_boundary = 12
    quantity = normal_z
  [../]

  [./penetrate10]
    type = PenetrationAux
    variable = normal_z
    boundary = 12
    paired_boundary = 11
    quantity = normal_z
  [../]

  [./penetrate11]
    type = PenetrationAux
    variable = closest_point_x
    boundary = 11
    paired_boundary = 12
    quantity = closest_point_x
  [../]

  [./penetrate12]
    type = PenetrationAux
    variable = closest_point_x
    boundary = 12
    paired_boundary = 11
    quantity = closest_point_x
  [../]

  [./penetrate13]
    type = PenetrationAux
    variable = closest_point_y
    boundary = 11
    paired_boundary = 12
    quantity = closest_point_y
  [../]

  [./penetrate14]
    type = PenetrationAux
    variable = closest_point_y
    boundary = 12
    paired_boundary = 11
    quantity = closest_point_y
  [../]

  [./penetrate15]
    type = PenetrationAux
    variable = closest_point_z
    boundary = 11
    paired_boundary = 12
    quantity = closest_point_z
  [../]

  [./penetrate16]
    type = PenetrationAux
    variable = closest_point_z
    boundary = 12
    paired_boundary = 11
    quantity = closest_point_z
  [../]

  [./penetrate17]
    type = PenetrationAux
    variable = element_id
    boundary = 11
    paired_boundary = 12
    quantity = element_id
  [../]

  [./penetrate18]
    type = PenetrationAux
    variable = element_id
    boundary = 12
    paired_boundary = 11
    quantity = element_id
  [../]

  [./penetrate19]
    type = PenetrationAux
    variable = side
    boundary = 11
    paired_boundary = 12
    quantity = side
  [../]

  [./penetrate20]
    type = PenetrationAux
    variable = side
    boundary = 12
    paired_boundary = 11
    quantity = side
  [../]
[]

[BCs]
  [./b1x]
    type = DirichletBC
    variable = disp_x
    boundary = 1
    value = 0
  [../]

  [./b1y]
    type = DirichletBC
    variable = disp_y
    boundary = 1
    value = 0
  [../]

  [./b1z]
    type = DirichletBC
    variable = disp_z
    boundary = 1
    value = 0
  [../]

  [./b2x]
    type = DirichletBC
    variable = disp_x
    boundary = 2
    value = 0
  [../]

  [./b2y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 2
    function = disp_y
  [../]

  [./b2z]
    type = DirichletBC
    variable = disp_z
    boundary = 2
    value = 0
  [../]
[]

[Functions]
  [./disp_y]
    type = PiecewiseLinear
    x = '0.0 0.25 0.75 1.0'
    y = '0.0 2.0 -2.0  0.0'
  [../]
[]

[Executioner]
  type = Transient

  solve_type = 'PJFNK'
  petsc_options = '-snes_ksp_ew'

  nl_rel_tol = 1e-9
  l_max_its = 10

  start_time = 0.0
  dt = 0.02
  end_time = 1.0
[]

[Outputs]
  file_base = pl_test4_out
  exodus = true
[]

(modules/solid_mechanics/test/tests/crystal_plasticity/user_object_based/user_object.i)

[Mesh]
  type = GeneratedMesh
  dim = 2
  elem_type = QUAD4
  displacements = 'disp_x disp_y'
  nx = 2
  ny = 2
[]

[GlobalParams]
  volumetric_locking_correction = true
[]

[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
[]

[Kernels]
  [SolidMechanics]
    displacements = 'disp_x disp_y'
    use_displaced_mesh = true
  [../]
[]

[AuxVariables]
  [./stress_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./e_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./fp_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./rotout]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./gss]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]

[Functions]
  [./tdisp]
    type = ParsedFunction
    expression = 0.01*t
  [../]
[]

[UserObjects]
  [./prop_read]
    type = PropertyReadFile
    prop_file_name = 'euler_ang_file.txt'
    # Enter file data as prop#1, prop#2, .., prop#nprop
    nprop = 3
    read_type = element
  [../]
[]

[AuxKernels]
  [./stress_yy]
    type = RankTwoAux
    variable = stress_yy
    rank_two_tensor = stress
    index_j = 1
    index_i = 1
    execute_on = timestep_end
  [../]
  [./e_yy]
    type = RankTwoAux
    variable = e_yy
    rank_two_tensor = lage
    index_j = 1
    index_i = 1
    execute_on = timestep_end
  [../]
  [./fp_yy]
    type = RankTwoAux
    variable = fp_yy
    rank_two_tensor = fp
    index_j = 1
    index_i = 1
    execute_on = timestep_end
  [../]
  [./gss]
    type = MaterialStdVectorAux
    variable = gss
    property = state_var_gss
    index = 0
    execute_on = timestep_end
  [../]
[]

[BCs]
  [./fix_x]
    type = DirichletBC
    variable = disp_x
    boundary = 'left'
    value = 0
  [../]
  [./fix_y]
    type = DirichletBC
    variable = disp_y
    boundary = 'bottom'
    value = 0
  [../]
  [./tdisp]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = top
    function = tdisp
  [../]
[]

[UserObjects]
  [./slip_rate_gss]
    type = CrystalPlasticitySlipRateGSS
    variable_size = 12
    slip_sys_file_name = input_slip_sys.txt
    num_slip_sys_flowrate_props = 2
    flowprops = '1 4 0.001 0.1 5 8 0.001 0.1 9 12 0.001 0.1'
    uo_state_var_name = state_var_gss
  [../]
  [./slip_resistance_gss]
    type = CrystalPlasticitySlipResistanceGSS
    variable_size = 12
    uo_state_var_name = state_var_gss
  [../]
  [./state_var_gss]
    type = CrystalPlasticityStateVariable
    variable_size = 12
    groups = '0 4 8 12'
    group_values = '60.8 60.8 60.8'
    uo_state_var_evol_rate_comp_name = state_var_evol_rate_comp_gss
    scale_factor = 1.0
  [../]
  [./state_var_evol_rate_comp_gss]
    type = CrystalPlasticityStateVarRateComponentGSS
    variable_size = 12
    hprops = '1.0 541.5 109.8 2.5'
    uo_slip_rate_name = slip_rate_gss
    uo_state_var_name = state_var_gss
  [../]
[]

[Materials]
  [./crysp]
    type = FiniteStrainUObasedCP
    stol = 1e-2
    tan_mod_type = exact
    uo_slip_rates = 'slip_rate_gss'
    uo_slip_resistances = 'slip_resistance_gss'
    uo_state_vars = 'state_var_gss'
    uo_state_var_evol_rate_comps = 'state_var_evol_rate_comp_gss'
  [../]
  [./strain]
    type = ComputeFiniteStrain
    displacements = 'disp_x disp_y'
  [../]
  [./elasticity_tensor]
    type = ComputeElasticityTensorCP
    C_ijkl = '1.684e5 1.214e5 1.214e5 1.684e5 1.214e5 1.684e5 0.754e5 0.754e5 0.754e5'
    fill_method = symmetric9
    read_prop_user_object = prop_read
  [../]
[]

[Postprocessors]
  [./stress_yy]
    type = ElementAverageValue
    variable = stress_yy
  [../]
  [./e_yy]
    type = ElementAverageValue
    variable = e_yy
  [../]
  [./fp_yy]
    type = ElementAverageValue
    variable = fp_yy
  [../]
  [./gss]
    type = ElementAverageValue
    variable = gss
  [../]
[]

[Preconditioning]
  [./smp]
    type = SMP
    full = true
  [../]
[]

[Executioner]
  type = Transient
  dt = 0.01
  solve_type = 'PJFNK'

  petsc_options_iname = -pc_hypre_type
  petsc_options_value = boomerang
  nl_abs_tol = 1e-10
  nl_rel_step_tol = 1e-10
  dtmax = 10.0
  nl_rel_tol = 1e-10
  end_time = 1
  dtmin = 0.01
  num_steps = 10
  nl_abs_step_tol = 1e-10
[]

[Outputs]
  exodus = true
[]

(test/tests/postprocessors/element_vec_l2_error_pps/element_vec_l2_error.i)

[Mesh]
  type = GeneratedMesh
  dim = 2

  nx = 5
  ny = 5

  xmin = 0.0
  xmax = 1.0

  ymin = 0.0
  ymax = 1.0
[]

[Variables]
  active = 'u v'

  [./u]
    order = FIRST
    family = LAGRANGE
  [../]

  [./v]
    order = FIRST
    family = LAGRANGE
  [../]
[]

[Functions]
  active = 'bc_u bc_v f_u f_v'

  # A ParsedFunction allows us to supply analytic expressions
  # directly in the input file
  [./bc_u]
    type = ParsedFunction
    expression = sin(alpha*pi*x)
    symbol_names = 'alpha'
    symbol_values = '2'
  [../]

  [./bc_v]
    type = ParsedFunction
    expression = sin(alpha*pi*y)
    symbol_names = 'alpha'
    symbol_values = '2'
  [../]

  [./f_u]
    type = ParsedFunction
    expression = alpha*alpha*pi*pi*sin(alpha*pi*x)
    symbol_names = 'alpha'
    symbol_values = '2'
  [../]

  [./f_v]
    type = ParsedFunction
    expression = alpha*alpha*pi*pi*sin(alpha*pi*y)
    symbol_names = 'alpha'
    symbol_values = '2'
  [../]
[]

[Kernels]
  active = 'diff_u diff_v forcing_u forcing_v'

  [./diff_u]
    type = Diffusion
    variable = u
  [../]

  [./diff_v]
    type = Diffusion
    variable = v
  [../]

  # This Kernel can take a function name to use
  [./forcing_u]
    type = BodyForce
    variable = u
    function = f_u
  [../]

  [./forcing_v]
    type = BodyForce
    variable = v
    function = f_v
  [../]
[]

[BCs]
  active = 'all_u all_v'

  # The BC can take a function name to use
  [./all_u]
    type = FunctionDirichletBC
    variable = u
    boundary = 'bottom right top left'
    function = bc_u
  [../]

  [./all_v]
    type = FunctionDirichletBC
    variable = v
    boundary = 'bottom right top left'
    function = bc_v
  [../]
[]

[Executioner]
  type = Steady

  [./Adaptivity]
    refine_fraction = 1.0
    coarsen_fraction = 0.0
    max_h_level = 10
    steps = 3
  [../]
[]

[Postprocessors]
  [./dofs]
    type = NumDOFs
    execute_on = 'initial timestep_end'
  [../]

  [./integral]
    type = ElementVectorL2Error
    var_x = u
    var_y = v
    function_x = bc_u
    function_y = bc_v
    execute_on = 'initial timestep_end'
  [../]
[]

[Outputs]
  file_base = out
  exodus = false
  csv = true
[]

(modules/solid_mechanics/test/tests/lagrangian/cartesian/total/planar/generalized_plane_strain/pull_2D.i)

constraint_types = 'none none none none none none none none strain'
targets = '0'

[GlobalParams]
  displacements = 'disp_x disp_y'
  large_kinematics = true
  stabilize_strain = true
  macro_gradient = hvar
  homogenization_constraint = homogenization
[]

[Mesh]
  [gmg]
    type = GeneratedMeshGenerator
    dim = 2
    nx = 5
    ny = 5
  []
  use_displaced_mesh = false
[]

[Variables]
  [disp_x]
  []
  [disp_y]
  []
  [hvar]
    family = SCALAR
    order = FIRST
  []
[]

[UserObjects]
  [homogenization]
    type = HomogenizationConstraint
    constraint_types = ${constraint_types}
    targets = ${targets}
    execute_on = 'INITIAL LINEAR NONLINEAR'
  []
[]

[ScalarKernels]
  [enforce]
    type = HomogenizationConstraintScalarKernel
    variable = hvar
  []
[]

[Kernels]
  [sdx]
    type = HomogenizedTotalLagrangianStressDivergence
    variable = disp_x
    component = 0
  []
  [sdy]
    type = HomogenizedTotalLagrangianStressDivergence
    variable = disp_y
    component = 1
  []
[]

[BCs]
  [fix_x]
    type = DirichletBC
    variable = disp_x
    boundary = 'top bottom'
    value = 0
  []
  [fix_y]
    type = DirichletBC
    variable = disp_y
    boundary = 'bottom'
    value = 0
  []
  [disp_y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'top'
    function = 't'
  []
[]

[Materials]
  [elastic_tensor]
    type = ComputeIsotropicElasticityTensor
    youngs_modulus = 1000.0
    poissons_ratio = 0.25
  []
  [compute_homogenization_gradient]
    type = ComputeHomogenizedLagrangianStrain
  []
  [compute_strain]
    type = ComputeLagrangianStrain
    homogenization_gradient_names = 'homogenization_gradient'
  []
  [stress]
    type = ComputeLagrangianLinearElasticStress
  []
  [stress_zz]
    type = RankTwoCartesianComponent
    rank_two_tensor = cauchy_stress
    index_i = 2
    index_j = 2
    property_name = stress_zz
  []
  [strain_zz]
    type = RankTwoCartesianComponent
    rank_two_tensor = mechanical_strain
    index_i = 2
    index_j = 2
    property_name = strain_zz
  []
[]

[Executioner]
  type = Transient
  dt = 0.01
  end_time = 0.1

  solve_type = 'newton'
  petsc_options_iname = '-pc_type'
  petsc_options_value = 'lu'

  nl_abs_tol = 1e-10
  nl_rel_tol = 1e-10
[]

[Postprocessors]
  [strain_zz]
    type = ElementAverageMaterialProperty
    mat_prop = strain_zz
  []
  [stress_zz]
    type = ElementAverageMaterialProperty
    mat_prop = stress_zz
  []
[]

[Outputs]
  csv = true
[]

(modules/contact/test/tests/fieldsplit/2blocks3d.i)

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
  volumetric_locking_correction = true
[]

[Mesh]
  file = 2blocks3d.e
  patch_size = 5
[]

[Problem]
  error_on_jacobian_nonzero_reallocation = true
[]

[Physics/SolidMechanics/QuasiStatic]
  [./all]
    strain = FINITE
    incremental = true
    add_variables = true
  [../]
[]

[AuxVariables]
  [./penetration]
    order = FIRST
    family = LAGRANGE
  [../]
[]

[Functions]
  [./horizontal_movement]
    type = ParsedFunction
    expression = t/10.0
  [../]
[]

[AuxKernels]
  [./penetration]
    type = PenetrationAux
    variable = penetration
    boundary = 2
    paired_boundary = 3
    order = FIRST
  [../]
[]

[BCs]
  [./push_x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 1
    function = horizontal_movement
  [../]
  [./fix_x]
    type = DirichletBC
    variable = disp_x
    boundary = 4
    value = 0.0
  [../]
  [./fix_y]
    type = DirichletBC
    variable = disp_y
    boundary = '1 4'
    value = 0.0
  [../]
  [./fix_z]
    type = DirichletBC
    variable = disp_z
    boundary = '1 4'
    value = 0.0
  [../]
[]

[Materials]
  [./elasticity_tensor_left]
    type = ComputeIsotropicElasticityTensor
    block = 1
    youngs_modulus = 1.0e6
    poissons_ratio = 0.3
  [../]
  [./stress_left]
    type = ComputeFiniteStrainElasticStress
    block = 1
  [../]

  [./elasticity_tensor_right]
    type = ComputeIsotropicElasticityTensor
    block = 2
    youngs_modulus = 1.0e6
    poissons_ratio = 0.3
  [../]
  [./stress_right]
    type = ComputeFiniteStrainElasticStress
    block = 2
  [../]
[]

[Contact]
  [./leftright]
    secondary = 2
    primary = 3
    model = frictionless
    penalty = 1e+6
    normalize_penalty = true
    formulation = kinematic
    normal_smoothing_distance = 0.1
  [../]
[]

[Preconditioning]
  [./FSP]
    type = FSP
    # It is the starting point of splitting
    topsplit = 'contact_interior' # 'contact_interior' should match the following block name
    [./contact_interior]
      splitting          = 'contact interior'
      splitting_type     = multiplicative
    [../]
    [./interior]
      type = ContactSplit
      vars = 'disp_x disp_y disp_z'
      uncontact_primary   = '3'
      uncontact_secondary    = '2'
      uncontact_displaced = '1'
      blocks              = '1 2'
      include_all_contact_nodes = 1
      petsc_options_iname = '-ksp_type -pc_type -pc_hypre_type -pc_hypre_boomeramg_max_iter -pc_hypre_boomeramg_strong_threshold'
      petsc_options_value = 'preonly   hypre    boomeramg      1                            0.25'
    [../]
    [./contact]
      type = ContactSplit
      vars = 'disp_x disp_y disp_z'
      contact_primary   = '3'
      contact_secondary    = '2'
      contact_displaced = '1'
      include_all_contact_nodes = 1
      petsc_options_iname = '-ksp_type -pc_type -pc_asm_overlap -sub_pc_type'
      petsc_options_value = 'preonly   asm      1               lu'
    [../]
  [../]
[]

[Executioner]
  type = Transient
  solve_type = 'PJFNK'

  dt = 0.1
  dtmin = 0.1
  end_time = 0.1

  l_tol = 1e-4
  l_max_its = 100

  nl_rel_tol = 1e-10
  nl_abs_tol = 1e-6
  nl_max_its = 100
[]

[Outputs]
  file_base = 2blocks3d_out
  [./exodus]
    type = Exodus
  [../]
  [./console]
    type = Console
    max_rows = 5
  [../]
[]

(modules/solid_mechanics/test/tests/smeared_cracking/cracking_exponential.i)

#
# Test to exercise the exponential stress release
#
# Stress vs. strain should show a linear relationship until cracking,
#   an exponential stress release, a linear relationship back to zero
#   strain, a linear relationship with the original stiffness in
#   compression and then back to zero strain, a linear relationship
#   back to the exponential curve, and finally further exponential
#   stress release.
#

[Mesh]
  file = cracking_test.e
[]

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]

[Functions]
  [./displx]
    type = PiecewiseLinear
    x = '0 1       2  3      4 5       6'
    y = '0 0.00175 0 -0.0001 0 0.00175 0.0035'
  [../]
  [./disply]
    type = PiecewiseLinear
    x = '0 5 6'
    y = '0 0 .00175'
  [../]
  [./displz]
    type = PiecewiseLinear
    x = '0 2 3'
    y = '0 0 .0035'
  [../]
[]

[Physics/SolidMechanics/QuasiStatic]
  [./all]
    strain = FINITE
    add_variables = true
    generate_output = 'stress_xx stress_yy stress_zz stress_xy stress_yz stress_zx'
  [../]
[]

[BCs]
  [./pullx]
    type = FunctionDirichletBC
    #type = FunctionDirichletBC
    variable = disp_x
    boundary = 4
    function = displx
  [../]
  [./left]
    type = DirichletBC
    variable = disp_x
    boundary = 1
    value = 0.0
  [../]

  [./fix_y]
    type = DirichletBC
    variable = disp_y
    boundary = '11 12'
    value = 0.0
  [../]

  [./move_y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = '15 16'
    function = disply
  [../]

  [./back]
    type = DirichletBC
    variable = disp_z
    boundary = '3'
    value = 0.0
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeIsotropicElasticityTensor
    youngs_modulus = 186.5e9
    poissons_ratio = .316
  [../]
  [./elastic_stress]
    type = ComputeSmearedCrackingStress
    cracking_stress = 119.3e6
    cracked_elasticity_type = FULL
    softening_models = exponential_softening
  [../]
  [./exponential_softening]
    type = ExponentialSoftening
  [../]
[]

[Executioner]
  type = Transient

  petsc_options_iname = '-ksp_gmres_restart -pc_type'
  petsc_options_value = '101                lu'

  line_search = 'none'
  l_max_its = 100
  l_tol = 1e-6

  nl_max_its = 10
  nl_rel_tol = 1e-12
  nl_abs_tol = 1.e-4

  start_time = 0.0
  dt = 0.02
  dtmin = 0.02
  num_steps = 300
[]

[Outputs]
  exodus = true
[]

(test/tests/geomsearch/3d_moving_penetration/pl_test2q.i)

[GlobalParams]
  order = SECOND
  family = LAGRANGE
[]

[Mesh]
  file = pl_test2q.e
  displacements = 'disp_x disp_y disp_z'
[]

[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
[]

[AuxVariables]
  [./distance]
  [../]
  [./tangential_distance]
  [../]
  [./normal_x]
  [../]
  [./normal_y]
  [../]
  [./normal_z]
  [../]
  [./closest_point_x]
  [../]
  [./closest_point_y]
  [../]
  [./closest_point_z]
  [../]
  [./element_id]
  [../]
  [./side]
  [../]
[]

[Kernels]
  [./diff_x]
    type = Diffusion
    variable = disp_x
  [../]
  [./diff_y]
    type = Diffusion
    variable = disp_y
  [../]
  [./diff_z]
    type = Diffusion
    variable = disp_z
  [../]
[]

[AuxKernels]
  [./penetrate]
    type = PenetrationAux
    variable = distance
    boundary = 11            #secondary
    paired_boundary = 12     #primary
  [../]

  [./penetrate2]
    type = PenetrationAux
    variable = distance
    boundary = 12            #secondary
    paired_boundary = 11     #primary
  [../]

  [./penetrate3]
    type = PenetrationAux
    variable = tangential_distance
    boundary = 11
    paired_boundary = 12
    quantity = tangential_distance
  [../]

  [./penetrate4]
    type = PenetrationAux
    variable = tangential_distance
    boundary = 12
    paired_boundary = 11
    quantity = tangential_distance
  [../]

  [./penetrate5]
    type = PenetrationAux
    variable = normal_x
    boundary = 11
    paired_boundary = 12
    quantity = normal_x
  [../]

  [./penetrate6]
    type = PenetrationAux
    variable = normal_x
    boundary = 12
    paired_boundary = 11
    quantity = normal_x
  [../]

  [./penetrate7]
    type = PenetrationAux
    variable = normal_y
    boundary = 11
    paired_boundary = 12
    quantity = normal_y
  [../]

  [./penetrate8]
    type = PenetrationAux
    variable = normal_y
    boundary = 12
    paired_boundary = 11
    quantity = normal_y
  [../]

  [./penetrate9]
    type = PenetrationAux
    variable = normal_z
    boundary = 11
    paired_boundary = 12
    quantity = normal_z
  [../]

  [./penetrate10]
    type = PenetrationAux
    variable = normal_z
    boundary = 12
    paired_boundary = 11
    quantity = normal_z
  [../]

  [./penetrate11]
    type = PenetrationAux
    variable = closest_point_x
    boundary = 11
    paired_boundary = 12
    quantity = closest_point_x
  [../]

  [./penetrate12]
    type = PenetrationAux
    variable = closest_point_x
    boundary = 12
    paired_boundary = 11
    quantity = closest_point_x
  [../]

  [./penetrate13]
    type = PenetrationAux
    variable = closest_point_y
    boundary = 11
    paired_boundary = 12
    quantity = closest_point_y
  [../]

  [./penetrate14]
    type = PenetrationAux
    variable = closest_point_y
    boundary = 12
    paired_boundary = 11
    quantity = closest_point_y
  [../]

  [./penetrate15]
    type = PenetrationAux
    variable = closest_point_z
    boundary = 11
    paired_boundary = 12
    quantity = closest_point_z
  [../]

  [./penetrate16]
    type = PenetrationAux
    variable = closest_point_z
    boundary = 12
    paired_boundary = 11
    quantity = closest_point_z
  [../]

  [./penetrate17]
    type = PenetrationAux
    variable = element_id
    boundary = 11
    paired_boundary = 12
    quantity = element_id
  [../]

  [./penetrate18]
    type = PenetrationAux
    variable = element_id
    boundary = 12
    paired_boundary = 11
    quantity = element_id
  [../]

  [./penetrate19]
    type = PenetrationAux
    variable = side
    boundary = 11
    paired_boundary = 12
    quantity = side
  [../]

  [./penetrate20]
    type = PenetrationAux
    variable = side
    boundary = 12
    paired_boundary = 11
    quantity = side
  [../]
[]

[BCs]
  [./b1x]
    type = DirichletBC
    variable = disp_x
    boundary = 1
    value = 0
  [../]

  [./b1y]
    type = DirichletBC
    variable = disp_y
    boundary = 1
    value = 0
  [../]

  [./b1z]
    type = DirichletBC
    variable = disp_z
    boundary = 1
    value = 0
  [../]

  [./b2x]
    type = DirichletBC
    variable = disp_x
    boundary = 2
    value = 0
  [../]

  [./b2y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 2
    function = disp_y
  [../]

  [./b2z]
    type = DirichletBC
    variable = disp_z
    boundary = 2
    value = 0
  [../]
[]

[Functions]
  [./disp_y]
    type = PiecewiseLinear
    x = '0.0 0.25 0.75 1.0'
    y = '0.0 0.7 -0.7  0.0'
  [../]
[]

[Executioner]
  type = Transient

  solve_type = 'PJFNK'
  petsc_options = '-snes_ksp_ew'

  nl_abs_tol = 1e-7
  l_max_its = 10

  start_time = 0.0
  dt = 0.05
  end_time = 1.0
  [./Quadrature]
    order = THIRD
  [../]
[]

[Outputs]
  file_base = pl_test2q_out
  exodus = true
[]

(modules/stochastic_tools/examples/libtorch_drl_control/libtorch_drl_control_sub.i)

air_density = 1.184 # kg/m3
air_cp = 1000 # J/(kg K)
air_effective_k = 0.5 # W/(m K)

[Mesh]
  [mesh]
    type = GeneratedMeshGenerator
    dim = 2
    xmin = 0.0
    xmax = 7.0
    ymin = 0.0
    ymax = 5.0
    nx = 35
    ny = 25
  []
[]

[Variables]
  [T]
    initial_condition = 297
  []
[]

[Kernels]
  [time_derivative]
    type = CoefTimeDerivative
    variable = T
    Coefficient = '${fparse air_density*air_cp}'
  []
  [heat_conduction]
    type = MatDiffusion
    variable = T
    diffusivity = 'k'
  []
[]

[BCs]
  [top_flux]
    type = NeumannBC
    value = 0.0
    boundary = 'top'
    variable = T
  []
  [dirichlet]
    type = FunctionDirichletBC
    function = temp_env
    variable = T
    boundary = 'left right'
  []
[]

[Functions]
  [temp_env]
    type = ParsedFunction
    value = '15.0*sin(t/86400.0*pi) + 273.0'
  []
  [design_function]
    type = ParsedFunction
    value = '297'
  []
  [reward_function]
    type = ScaledAbsDifferenceDRLRewardFunction
    design_function = design_function
    observed_value = center_temp_tend
    c1 = 1
    c2 = 10
  []
[]

[Materials]
  [constant]
    type = GenericConstantMaterial
    prop_names = 'k'
    prop_values = ${air_effective_k}
  []
[]

[Postprocessors]
  [center_temp]
    type = PointValue
    variable = T
    point = '3.5 2.5 0.0'
    execute_on = 'INITIAL TIMESTEP_BEGIN'
  []
  [center_temp_tend]
    type = PointValue
    variable = T
    point = '3.5 2.5 0.0'
    execute_on = 'INITIAL TIMESTEP_END'
  []
  [env_temp]
    type = FunctionValuePostprocessor
    function = temp_env
    execute_on = 'INITIAL TIMESTEP_BEGIN'
  []
  [reward]
    type = FunctionValuePostprocessor
    function = reward_function
    execute_on = 'INITIAL TIMESTEP_END'
    indirect_dependencies = 'center_temp_tend env_temp'
  []
  [top_flux]
    type = LibtorchControlValuePostprocessor
    control_name = src_control
  []
  [log_prob_top_flux]
    type = LibtorchDRLLogProbabilityPostprocessor
    control_name = src_control
  []
[]

[Reporters]
  [T_reporter]
    type = AccumulateReporter
    reporters = 'center_temp_tend/value env_temp/value reward/value top_flux/value log_prob_top_flux/value'
  []
[]

[Controls]
  inactive = 'src_control_final'
  [src_control]
    type = LibtorchDRLControl
    parameters = "BCs/top_flux/value"
    responses = 'center_temp_tend env_temp'

    # keep consistent with LibtorchDRLControlTrainer
    input_timesteps = 2
    response_scaling_factors = '0.03 0.03'
    response_shift_factors = '290 290'
    action_standard_deviations = '0.02'
    action_scaling_factors = 200

    execute_on = 'TIMESTEP_BEGIN'
  []
  [src_control_final]
    type = LibtorchNeuralNetControl

    filename = 'mynet_control.net'
    num_neurons_per_layer = '16 6'
    activation_function = 'relu'

    parameters = "BCs/top_flux/value"
    responses = 'center_temp_tend env_temp'

    # keep consistent with LibtorchDRLControlTrainer
    input_timesteps = 2
    response_scaling_factors = '0.03 0.03'
    response_shift_factors = '290 290'
    action_standard_deviations = '0.02'
    action_scaling_factors = 200

    execute_on = 'TIMESTEP_BEGIN'
  []
[]

[Executioner]
  type = Transient
  solve_type = 'NEWTON'

  petsc_options_iname = '-pc_type -pc_factor_shift_type'
  petsc_options_value = 'lu NONZERO'
  line_search = 'none'

  nl_rel_tol = 1e-7

  start_time = 0.0
  end_time = 86400
  dt = 900.0
[]

[Outputs]
  console = false
  [c]
    type = CSV
    execute_on = FINAL
  []
[]

(modules/solid_mechanics/test/tests/capped_weak_plane/small_deform_cosserat1.i)

# Plastic deformation.  Layered Cosserat with parameters:
# Young = 1.0
# Poisson = 0.2
# layer_thickness = 0.1
# joint_normal_stiffness = 0.25
# joint_shear_stiffness = 0.2
# These give the following nonzero components of the elasticity tensor:
# E_0000 = E_1111 = 1.043195
# E_0011 = E_1100 = 0.260799
# E_2222 = 0.02445
# E_0022 = E_1122 = E_2200 = E_2211 = 0.006112
# G = E_0101 = E_0110 = E_1001 = E_1010 = 0.416667
# Gt = E_0202 = E_0220 = E_2002 = E_1212 = E_1221 = E_2112 = 0.019084
# E_2020 = E_2121 = 0.217875
# They give the following nonzero components of the bending rigidity tensor:
# D = 8.68056E-5
# B_0101 = B_1010 = 7.92021E-4
# B_0110 = B_1001 = -1.584E-4
#
# Applying the following deformation to the zmax surface of a unit cube:
# disp_x = 8*t
# disp_y = 6*t
# disp_z = t
# omega_x = omega_y = omega_z = 0
# yields the following strains:
# strain_xz = 8*t
# strain_yz = 6*t
# strain_zz = t
# and all other components, and the curvature, are zero.
# The nonzero components of stress are therefore:
# stress_xx = stress_yy = 0.006112*t
# stress_xz = stress_zx = 0.152671*t
# stress_yz = stress_zy = 0.114504*t
# stress_zz = 0.0244499*t
# The moment stress is zero.
# So q = 0.19084*t and p = 0.0244*t.
#
# With large cohesion, but tensile strength = 0.0244499, the
# system is elastic up to t=1.  After that time
# stress_zz = 0.0244499 (for t>=1)
# and
# stress_xx = stress_yy = 0.006112 (for t>=1), since the
# elastic trial increment is exactly canelled by the Poisson's
# contribution from the return to the yield surface.
# The plastic strains are zero for t<=1, but for larger times:
# plastic_strain_zz = (t - 1)  (for t>=1)
[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
  Cosserat_rotations = 'wc_x wc_y wc_z'
[]

[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
  [./wc_x]
  [../]
  [./wc_y]
  [../]
[]

[Kernels]
  [./cx_elastic]
    type = CosseratStressDivergenceTensors
    variable = disp_x
    component = 0
  [../]
  [./cy_elastic]
    type = CosseratStressDivergenceTensors
    variable = disp_y
    component = 1
  [../]
  [./cz_elastic]
    type = CosseratStressDivergenceTensors
    variable = disp_z
    component = 2
  [../]
  [./x_couple]
    type = StressDivergenceTensors
    variable = wc_x
    displacements = 'wc_x wc_y wc_z'
    component = 0
    base_name = couple
  [../]
  [./y_couple]
    type = StressDivergenceTensors
    variable = wc_y
    displacements = 'wc_x wc_y wc_z'
    component = 1
    base_name = couple
  [../]
  [./x_moment]
    type = MomentBalancing
    variable = wc_x
    component = 0
  [../]
  [./y_moment]
    type = MomentBalancing
    variable = wc_y
    component = 1
  [../]
[]

[BCs]
  [./bottomx]
    type = DirichletBC
    variable = disp_x
    boundary = back
    value = 0.0
  [../]
  [./bottomy]
    type = DirichletBC
    variable = disp_y
    boundary = back
    value = 0.0
  [../]
  [./bottomz]
    type = DirichletBC
    variable = disp_z
    boundary = back
    value = 0.0
  [../]

  [./topx]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = front
    function = 8*t
  [../]
  [./topy]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = front
    function = 6*t
  [../]
  [./topz]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = front
    function = t
  [../]
[]

[AuxVariables]
  [./wc_z]
  [../]
  [./stress_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_zx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_zy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./couple_stress_xx]
    family = MONOMIAL
    order = CONSTANT
  [../]
  [./couple_stress_xy]
    family = MONOMIAL
    order = CONSTANT
  [../]
  [./couple_stress_xz]
    family = MONOMIAL
    order = CONSTANT
  [../]
  [./couple_stress_yx]
    family = MONOMIAL
    order = CONSTANT
  [../]
  [./couple_stress_yy]
    family = MONOMIAL
    order = CONSTANT
  [../]
  [./couple_stress_yz]
    family = MONOMIAL
    order = CONSTANT
  [../]
  [./couple_stress_zx]
    family = MONOMIAL
    order = CONSTANT
  [../]
  [./couple_stress_zy]
    family = MONOMIAL
    order = CONSTANT
  [../]
  [./couple_stress_zz]
    family = MONOMIAL
    order = CONSTANT
  [../]
  [./strainp_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./strainp_xy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./strainp_xz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./strainp_yx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./strainp_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./strainp_yz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./strainp_zx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./strainp_zy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./strainp_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./straint_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./straint_xy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./straint_xz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./straint_yx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./straint_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./straint_yz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./straint_zx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./straint_zy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./straint_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f_shear]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f_tensile]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f_compressive]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./intnl_shear]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./intnl_tensile]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./iter]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./ls]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]

[AuxKernels]
  [./stress_xx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xx
    index_i = 0
    index_j = 0
  [../]
  [./stress_xy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xy
    index_i = 0
    index_j = 1
  [../]
  [./stress_xz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xz
    index_i = 0
    index_j = 2
  [../]
  [./stress_yx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yx
    index_i = 1
    index_j = 0
  [../]
  [./stress_yy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yy
    index_i = 1
    index_j = 1
  [../]
  [./stress_yz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yz
    index_i = 1
    index_j = 2
  [../]
  [./stress_zx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zx
    index_i = 2
    index_j = 0
  [../]
  [./stress_zy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zy
    index_i = 2
    index_j = 1
  [../]
  [./stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zz
    index_i = 2
    index_j = 2
  [../]
  [./couple_stress_xx]
    type = RankTwoAux
    rank_two_tensor = couple_stress
    variable = couple_stress_xx
    index_i = 0
    index_j = 0
  [../]
  [./couple_stress_xy]
    type = RankTwoAux
    rank_two_tensor = couple_stress
    variable = couple_stress_xy
    index_i = 0
    index_j = 1
  [../]
  [./couple_stress_xz]
    type = RankTwoAux
    rank_two_tensor = couple_stress
    variable = couple_stress_xz
    index_i = 0
    index_j = 2
  [../]
  [./couple_stress_yx]
    type = RankTwoAux
    rank_two_tensor = couple_stress
    variable = couple_stress_yx
    index_i = 1
    index_j = 0
  [../]
  [./couple_stress_yy]
    type = RankTwoAux
    rank_two_tensor = couple_stress
    variable = couple_stress_yy
    index_i = 1
    index_j = 1
  [../]
  [./couple_stress_yz]
    type = RankTwoAux
    rank_two_tensor = couple_stress
    variable = couple_stress_yz
    index_i = 1
    index_j = 2
  [../]
  [./couple_stress_zx]
    type = RankTwoAux
    rank_two_tensor = couple_stress
    variable = couple_stress_zx
    index_i = 2
    index_j = 0
  [../]
  [./couple_stress_zy]
    type = RankTwoAux
    rank_two_tensor = couple_stress
    variable = couple_stress_zy
    index_i = 2
    index_j = 1
  [../]
  [./couple_stress_zz]
    type = RankTwoAux
    rank_two_tensor = couple_stress
    variable = couple_stress_zz
    index_i = 2
    index_j = 2
  [../]
  [./strainp_xx]
    type = RankTwoAux
    rank_two_tensor = plastic_strain
    variable = strainp_xx
    index_i = 0
    index_j = 0
  [../]
  [./strainp_xy]
    type = RankTwoAux
    rank_two_tensor = plastic_strain
    variable = strainp_xy
    index_i = 0
    index_j = 1
  [../]
  [./strainp_xz]
    type = RankTwoAux
    rank_two_tensor = plastic_strain
    variable = strainp_xz
    index_i = 0
    index_j = 2
  [../]
  [./strainp_yx]
    type = RankTwoAux
    rank_two_tensor = plastic_strain
    variable = strainp_yx
    index_i = 1
    index_j = 0
  [../]
  [./strainp_yy]
    type = RankTwoAux
    rank_two_tensor = plastic_strain
    variable = strainp_yy
    index_i = 1
    index_j = 1
  [../]
  [./strainp_yz]
    type = RankTwoAux
    rank_two_tensor = plastic_strain
    variable = strainp_yz
    index_i = 1
    index_j = 2
  [../]
  [./strainp_zx]
    type = RankTwoAux
    rank_two_tensor = plastic_strain
    variable = strainp_zx
    index_i = 2
    index_j = 0
  [../]
  [./strainp_zy]
    type = RankTwoAux
    rank_two_tensor = plastic_strain
    variable = strainp_zy
    index_i = 2
    index_j = 1
  [../]
  [./strainp_zz]
    type = RankTwoAux
    rank_two_tensor = plastic_strain
    variable = strainp_zz
    index_i = 2
    index_j = 2
  [../]
  [./straint_xx]
    type = RankTwoAux
    rank_two_tensor = total_strain
    variable = straint_xx
    index_i = 0
    index_j = 0
  [../]
  [./straint_xy]
    type = RankTwoAux
    rank_two_tensor = total_strain
    variable = straint_xy
    index_i = 0
    index_j = 1
  [../]
  [./straint_xz]
    type = RankTwoAux
    rank_two_tensor = total_strain
    variable = straint_xz
    index_i = 0
    index_j = 2
  [../]
  [./straint_yx]
    type = RankTwoAux
    rank_two_tensor = total_strain
    variable = straint_yx
    index_i = 1
    index_j = 0
  [../]
  [./straint_yy]
    type = RankTwoAux
    rank_two_tensor = total_strain
    variable = straint_yy
    index_i = 1
    index_j = 1
  [../]
  [./straint_yz]
    type = RankTwoAux
    rank_two_tensor = total_strain
    variable = straint_yz
    index_i = 1
    index_j = 2
  [../]
  [./straint_zx]
    type = RankTwoAux
    rank_two_tensor = total_strain
    variable = straint_zx
    index_i = 2
    index_j = 0
  [../]
  [./straint_zy]
    type = RankTwoAux
    rank_two_tensor = total_strain
    variable = straint_zy
    index_i = 2
    index_j = 1
  [../]
  [./straint_zz]
    type = RankTwoAux
    rank_two_tensor = total_strain
    variable = straint_zz
    index_i = 2
    index_j = 2
  [../]
  [./f_shear]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 0
    variable = f_shear
  [../]
  [./f_tensile]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 1
    variable = f_tensile
  [../]
  [./f_compressive]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 2
    variable = f_compressive
  [../]
  [./intnl_shear]
    type = MaterialStdVectorAux
    property = plastic_internal_parameter
    index = 0
    variable = intnl_shear
  [../]
  [./intnl_tensile]
    type = MaterialStdVectorAux
    property = plastic_internal_parameter
    index = 1
    variable = intnl_tensile
  [../]
  [./iter]
    type = MaterialRealAux
    property = plastic_NR_iterations
    variable = iter
  [../]
  [./ls]
    type = MaterialRealAux
    property = plastic_linesearch_needed
    variable = ls
  [../]
[]

[Postprocessors]
  [./s_xx]
    type = PointValue
    point = '0 0 0'
    variable = stress_xx
  [../]
  [./s_xy]
    type = PointValue
    point = '0 0 0'
    variable = stress_xy
  [../]
  [./s_xz]
    type = PointValue
    point = '0 0 0'
    variable = stress_xz
  [../]
  [./s_yx]
    type = PointValue
    point = '0 0 0'
    variable = stress_yx
  [../]
  [./s_yy]
    type = PointValue
    point = '0 0 0'
    variable = stress_yy
  [../]
  [./s_yz]
    type = PointValue
    point = '0 0 0'
    variable = stress_yz
  [../]
  [./s_zx]
    type = PointValue
    point = '0 0 0'
    variable = stress_zx
  [../]
  [./s_zy]
    type = PointValue
    point = '0 0 0'
    variable = stress_zy
  [../]
  [./s_zz]
    type = PointValue
    point = '0 0 0'
    variable = stress_zz
  [../]
  [./c_s_xx]
    type = PointValue
    point = '0 0 0'
    variable = couple_stress_xx
  [../]
  [./c_s_xy]
    type = PointValue
    point = '0 0 0'
    variable = couple_stress_xy
  [../]
  [./c_s_xz]
    type = PointValue
    point = '0 0 0'
    variable = couple_stress_xz
  [../]
  [./c_s_yx]
    type = PointValue
    point = '0 0 0'
    variable = couple_stress_yx
  [../]
  [./c_s_yy]
    type = PointValue
    point = '0 0 0'
    variable = couple_stress_yy
  [../]
  [./c_s_yz]
    type = PointValue
    point = '0 0 0'
    variable = couple_stress_yz
  [../]
  [./c_s_zx]
    type = PointValue
    point = '0 0 0'
    variable = couple_stress_zx
  [../]
  [./c_s_zy]
    type = PointValue
    point = '0 0 0'
    variable = couple_stress_zy
  [../]
  [./c_s_zz]
    type = PointValue
    point = '0 0 0'
    variable = couple_stress_zz
  [../]
  [./strainp_xx]
    type = PointValue
    point = '0 0 0'
    variable = strainp_xx
  [../]
  [./strainp_xy]
    type = PointValue
    point = '0 0 0'
    variable = strainp_xy
  [../]
  [./strainp_xz]
    type = PointValue
    point = '0 0 0'
    variable = strainp_xz
  [../]
  [./strainp_yx]
    type = PointValue
    point = '0 0 0'
    variable = strainp_yx
  [../]
  [./strainp_yy]
    type = PointValue
    point = '0 0 0'
    variable = strainp_yy
  [../]
  [./strainp_yz]
    type = PointValue
    point = '0 0 0'
    variable = strainp_yz
  [../]
  [./strainp_zx]
    type = PointValue
    point = '0 0 0'
    variable = strainp_zx
  [../]
  [./strainp_zy]
    type = PointValue
    point = '0 0 0'
    variable = strainp_zy
  [../]
  [./strainp_zz]
    type = PointValue
    point = '0 0 0'
    variable = strainp_zz
  [../]
  [./straint_xx]
    type = PointValue
    point = '0 0 0'
    variable = straint_xx
  [../]
  [./straint_xy]
    type = PointValue
    point = '0 0 0'
    variable = straint_xy
  [../]
  [./straint_xz]
    type = PointValue
    point = '0 0 0'
    variable = straint_xz
  [../]
  [./straint_yx]
    type = PointValue
    point = '0 0 0'
    variable = straint_yx
  [../]
  [./straint_yy]
    type = PointValue
    point = '0 0 0'
    variable = straint_yy
  [../]
  [./straint_yz]
    type = PointValue
    point = '0 0 0'
    variable = straint_yz
  [../]
  [./straint_zx]
    type = PointValue
    point = '0 0 0'
    variable = straint_zx
  [../]
  [./straint_zy]
    type = PointValue
    point = '0 0 0'
    variable = straint_zy
  [../]
  [./straint_zz]
    type = PointValue
    point = '0 0 0'
    variable = straint_zz
  [../]
  [./f_shear]
    type = PointValue
    point = '0 0 0'
    variable = f_shear
  [../]
  [./f_tensile]
    type = PointValue
    point = '0 0 0'
    variable = f_tensile
  [../]
  [./f_compressive]
    type = PointValue
    point = '0 0 0'
    variable = f_compressive
  [../]
  [./intnl_shear]
    type = PointValue
    point = '0 0 0'
    variable = intnl_shear
  [../]
  [./intnl_tensile]
    type = PointValue
    point = '0 0 0'
    variable = intnl_tensile
  [../]
  [./iter]
    type = PointValue
    point = '0 0 0'
    variable = iter
  [../]
  [./ls]
    type = PointValue
    point = '0 0 0'
    variable = ls
  [../]
[]


[UserObjects]
  [./coh]
    type = SolidMechanicsHardeningConstant
    value = 30
  [../]
  [./tanphi]
    type = SolidMechanicsHardeningConstant
    value = 0.5
  [../]
  [./tanpsi]
    type = SolidMechanicsHardeningConstant
    value = 0.1111077
  [../]
  [./t_strength]
    type = SolidMechanicsHardeningConstant
    value = 0.024449878
  [../]
  [./c_strength]
    type = SolidMechanicsHardeningConstant
    value = 40
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeLayeredCosseratElasticityTensor
    young = 1.0
    poisson = 0.2
    layer_thickness = 0.1
    joint_normal_stiffness = 0.25
    joint_shear_stiffness = 0.2
  [../]
  [./strain]
    type = ComputeCosseratIncrementalSmallStrain
  [../]
  [./admissible]
    type = ComputeMultipleInelasticCosseratStress
    inelastic_models = stress
    perform_finite_strain_rotations = false
  [../]
  [./stress]
    type = CappedWeakPlaneCosseratStressUpdate
    cohesion = coh
    tan_friction_angle = tanphi
    tan_dilation_angle = tanpsi
    tensile_strength = t_strength
    compressive_strength = c_strength
    tip_smoother = 0
    smoothing_tol = 1
    yield_function_tol = 1E-5
  [../]
[]

[Executioner]
  nl_abs_tol = 1E-14
  end_time = 3
  dt = 1
  type = Transient
[]

[Outputs]
  file_base = small_deform_cosserat1
  csv = true
[]

(test/tests/time_integrators/explicit-euler/ee-1d-linear.i)

[Mesh]
  type = GeneratedMesh
  dim = 1
  xmin = -1
  xmax = 1
  nx = 200
  elem_type = EDGE2
[]

[Functions]
  [./ic]
    type = ParsedFunction
    expression = 0
  [../]

  [./forcing_fn]
    type = ParsedFunction
    expression = x
  [../]

  [./exact_fn]
    type = ParsedFunction
    expression = t*x
  [../]
[]

[Variables]
  [./u]
    order = FIRST
    family = LAGRANGE

    [./InitialCondition]
      type = FunctionIC
      function = ic
    [../]
  [../]
[]

[Kernels]
  [./ie]
    type = TimeDerivative
    variable = u
    lumping = true
    implicit = true
  [../]

  [./diff]
    type = Diffusion
    variable = u
    implicit = false
  [../]

  [./ffn]
    type = BodyForce
    variable = u
    function = forcing_fn
    implicit = false
  [../]
[]

[BCs]
  active = 'all'

  [./all]
    type = FunctionDirichletBC
    variable = u
    preset = false
    boundary = '0 1'
    function = exact_fn
    implicit = true
  [../]
[]

[Postprocessors]
  [./l2_err]
    type = ElementL2Error
    variable = u
    function = exact_fn
  [../]
[]

[Executioner]
  type = Transient
  scheme = 'explicit-euler'
  solve_type = 'LINEAR'

  start_time = 0.0
  num_steps = 20
  dt = 0.00005
[]

[Outputs]
  exodus = true
  [./console]
    type = Console
    max_rows = 10
  [../]
[]

(test/tests/geomsearch/2d_moving_penetration/pl_test2.i)

[GlobalParams]
  order = FIRST
  family = LAGRANGE
[]

[Mesh]
  file = pl_test2.e
  displacements = 'disp_x disp_y'
[]

[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
[]

[AuxVariables]
  [./distance]
  [../]
  [./tangential_distance]
  [../]
  [./normal_x]
  [../]
  [./normal_y]
  [../]
  [./closest_point_x]
  [../]
  [./closest_point_y]
  [../]
  [./element_id]
  [../]
  [./side]
  [../]
[]

[Kernels]
  [./diff_x]
    type = Diffusion
    variable = disp_x
  [../]
  [./diff_y]
    type = Diffusion
    variable = disp_y
  [../]
[]

[AuxKernels]
  [./penetrate]
    type = PenetrationAux
    variable = distance
    boundary = 11            #secondary
    paired_boundary = 12     #primary
  [../]

  [./penetrate2]
    type = PenetrationAux
    variable = distance
    boundary = 12            #secondary
    paired_boundary = 11     #primary
  [../]

  [./penetrate3]
    type = PenetrationAux
    variable = tangential_distance
    boundary = 11
    paired_boundary = 12
    quantity = tangential_distance
  [../]

  [./penetrate4]
    type = PenetrationAux
    variable = tangential_distance
    boundary = 12
    paired_boundary = 11
    quantity = tangential_distance
  [../]

  [./penetrate5]
    type = PenetrationAux
    variable = normal_x
    boundary = 11
    paired_boundary = 12
    quantity = normal_x
  [../]

  [./penetrate6]
    type = PenetrationAux
    variable = normal_x
    boundary = 12
    paired_boundary = 11
    quantity = normal_x
  [../]

  [./penetrate7]
    type = PenetrationAux
    variable = normal_y
    boundary = 11
    paired_boundary = 12
    quantity = normal_y
  [../]

  [./penetrate8]
    type = PenetrationAux
    variable = normal_y
    boundary = 12
    paired_boundary = 11
    quantity = normal_y
  [../]

  [./penetrate9]
    type = PenetrationAux
    variable = closest_point_x
    boundary = 11
    paired_boundary = 12
    quantity = closest_point_x
  [../]

  [./penetrate10]
    type = PenetrationAux
    variable = closest_point_x
    boundary = 12
    paired_boundary = 11
    quantity = closest_point_x
  [../]

  [./penetrate11]
    type = PenetrationAux
    variable = closest_point_y
    boundary = 11
    paired_boundary = 12
    quantity = closest_point_y
  [../]

  [./penetrate12]
    type = PenetrationAux
    variable = closest_point_y
    boundary = 12
    paired_boundary = 11
    quantity = closest_point_y
  [../]

  [./penetrate13]
    type = PenetrationAux
    variable = element_id
    boundary = 11
    paired_boundary = 12
    quantity = element_id
  [../]

  [./penetrate14]
    type = PenetrationAux
    variable = element_id
    boundary = 12
    paired_boundary = 11
    quantity = element_id
  [../]

  [./penetrate15]
    type = PenetrationAux
    variable = side
    boundary = 11
    paired_boundary = 12
    quantity = side
  [../]

  [./penetrate16]
    type = PenetrationAux
    variable = side
    boundary = 12
    paired_boundary = 11
    quantity = side
  [../]
[]

[BCs]
  [./b1x]
    type = DirichletBC
    variable = disp_x
    boundary = 1
    value = 0
  [../]

  [./b1y]
    type = DirichletBC
    variable = disp_y
    boundary = 1
    value = 0
  [../]

  [./b2x]
    type = DirichletBC
    variable = disp_x
    boundary = 2
    value = 0
  [../]

  [./b2y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 2
    function = disp_y
  [../]
[]

[Functions]
  [./disp_y]
    type = PiecewiseLinear
    x = '0.0 0.25 0.75 1.0'
    y = '0.0 0.7 -0.7  0.0'
  [../]
[]

[Executioner]
  type = Transient

  solve_type = 'PJFNK'
  petsc_options = '-snes_ksp_ew'

  nl_rel_tol = 1e-9
  l_max_its = 10

  start_time = 0.0
  dt = 0.05
  end_time = 1.0
[]

[Outputs]
  file_base = pl_test2_out
  exodus = true
[]

(test/tests/geomsearch/3d_moving_penetration_smoothing/pl_test3nns.i)

[GlobalParams]
  order = FIRST
  family = LAGRANGE
[]

[Mesh]
  file = pl_test3.e
  displacements = 'disp_x disp_y disp_z'
[]

[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
[]

[AuxVariables]
  [./distance]
  [../]
  [./tangential_distance]
  [../]
  [./normal_x]
  [../]
  [./normal_y]
  [../]
  [./normal_z]
  [../]
  [./closest_point_x]
  [../]
  [./closest_point_y]
  [../]
  [./closest_point_z]
  [../]
#  [./element_id]
#  [../]
  [./side]
  [../]
[]

[Kernels]
  [./diff_x]
    type = Diffusion
    variable = disp_x
  [../]
  [./diff_y]
    type = Diffusion
    variable = disp_y
  [../]
  [./diff_z]
    type = Diffusion
    variable = disp_z
  [../]
[]

[AuxKernels]
  [./penetrate]
    type = PenetrationAux
    variable = distance
    boundary = 11            #secondary
    paired_boundary = 12     #primary
  [../]

  [./penetrate2]
    type = PenetrationAux
    variable = distance
    boundary = 12            #secondary
    paired_boundary = 11     #primary
    normal_smoothing_method = nodal_normal_based
  [../]

  [./penetrate3]
    type = PenetrationAux
    variable = tangential_distance
    boundary = 11
    paired_boundary = 12
    quantity = tangential_distance
  [../]

  [./penetrate4]
    type = PenetrationAux
    variable = tangential_distance
    boundary = 12
    paired_boundary = 11
    quantity = tangential_distance
  [../]

  [./penetrate5]
    type = PenetrationAux
    variable = normal_x
    boundary = 11
    paired_boundary = 12
    quantity = normal_x
  [../]

  [./penetrate6]
    type = PenetrationAux
    variable = normal_x
    boundary = 12
    paired_boundary = 11
    quantity = normal_x
  [../]

  [./penetrate7]
    type = PenetrationAux
    variable = normal_y
    boundary = 11
    paired_boundary = 12
    quantity = normal_y
  [../]

  [./penetrate8]
    type = PenetrationAux
    variable = normal_y
    boundary = 12
    paired_boundary = 11
    quantity = normal_y
  [../]

  [./penetrate9]
    type = PenetrationAux
    variable = normal_z
    boundary = 11
    paired_boundary = 12
    quantity = normal_z
  [../]

  [./penetrate10]
    type = PenetrationAux
    variable = normal_z
    boundary = 12
    paired_boundary = 11
    quantity = normal_z
  [../]

  [./penetrate11]
    type = PenetrationAux
    variable = closest_point_x
    boundary = 11
    paired_boundary = 12
    quantity = closest_point_x
  [../]

  [./penetrate12]
    type = PenetrationAux
    variable = closest_point_x
    boundary = 12
    paired_boundary = 11
    quantity = closest_point_x
  [../]

  [./penetrate13]
    type = PenetrationAux
    variable = closest_point_y
    boundary = 11
    paired_boundary = 12
    quantity = closest_point_y
  [../]

  [./penetrate14]
    type = PenetrationAux
    variable = closest_point_y
    boundary = 12
    paired_boundary = 11
    quantity = closest_point_y
  [../]

  [./penetrate15]
    type = PenetrationAux
    variable = closest_point_z
    boundary = 11
    paired_boundary = 12
    quantity = closest_point_z
  [../]

  [./penetrate16]
    type = PenetrationAux
    variable = closest_point_z
    boundary = 12
    paired_boundary = 11
    quantity = closest_point_z
  [../]

#  [./penetrate17]
#    type = PenetrationAux
#    variable = element_id
#    boundary = 11
#    paired_boundary = 12
#    quantity = element_id
#  [../]
#
#  [./penetrate18]
#    type = PenetrationAux
#    variable = element_id
#    boundary = 12
#    paired_boundary = 11
#    quantity = element_id
#  [../]

  [./penetrate19]
    type = PenetrationAux
    variable = side
    boundary = 11
    paired_boundary = 12
    quantity = side
  [../]

  [./penetrate20]
    type = PenetrationAux
    variable = side
    boundary = 12
    paired_boundary = 11
    quantity = side
  [../]
[]

[BCs]
  [./b1x]
    type = DirichletBC
    variable = disp_x
    preset = false
    boundary = 1
    value = 0
  [../]

  [./b1y]
    type = DirichletBC
    variable = disp_y
    preset = false
    boundary = 1
    value = 0
  [../]

  [./b1z]
    type = DirichletBC
    variable = disp_z
    preset = false
    boundary = 1
    value = 0
  [../]

  [./b2x]
    type = DirichletBC
    variable = disp_x
    preset = false
    boundary = 2
    value = 0
  [../]

  [./b2y]
    type = FunctionDirichletBC
    variable = disp_y
    preset = false
    boundary = 2
    function = disp_y
  [../]

  [./b2z]
    type = DirichletBC
    variable = disp_z
    preset = false
    boundary = 2
    value = 0
  [../]
[]

[Functions]
  [./disp_y]
    type = PiecewiseLinear
    x = '0.0 0.25 0.75 1.0'
    y = '0.0 2.0 -2.0  0.0'
  [../]
[]

[Executioner]
  type = Transient

  solve_type = 'PJFNK'
  petsc_options = '-snes_ksp_ew'

  nl_rel_tol = 1e-9
  l_max_its = 10

  start_time = 0.0
  dt = 0.02
  end_time = 1.0
[]

[Outputs]
  file_base = pl_test3nns_out
  exodus = true
[]

[NodalNormals]
  boundary = 11
  corner_boundary = 20
[]

(test/tests/postprocessors/side_extreme_value/aux_nodal.i)

[Mesh]
  type = GeneratedMesh
  dim = 2
  nx = 10
  ny = 10
  second_order = true
[]

[Variables]
  [u]
    order = SECOND
  []
[]

[Kernels]
  [diff]
    type = Diffusion
    variable = u
  []
[]

[BCs]
  [top]
    type = FunctionDirichletBC
    variable = u
    function = 'sin(x*2*pi)'
    boundary = top
  []
[]

[AuxVariables]
  [aux]
    family = LAGRANGE
    order = SECOND
  []
[]

[AuxKernels]
  [coupled]
    type = CoupledAux
    variable = aux
    coupled = u
  []
[]

[Postprocessors]
  [max]
    type = SideExtremeValue
    variable = aux
    boundary = top
  []
  [min]
    type = SideExtremeValue
    variable = aux
    boundary = top
    value_type = min
  []
[]

[Executioner]
  type = Steady
  petsc_options_iname = '-pc_type'
  petsc_options_value = 'lu'
[]

[Outputs]
  csv = true
[]

(test/tests/mesh/mesh_generation/disc_sector_deprecated.i)

# Generates a sector of a Disc Mesh between angle=Pi/4 and angle=3Pi/4
# Radius of outside circle=5
# Solves the diffusion equation with u=-5 at origin, and u=0 on outside
# as well as u=-5+r at angle=Pi/4 and u=-5+r^4/125 at angle=3Pi/4

[Mesh]
  type = AnnularMesh
  nr = 10
  nt = 12
  rmin = 0
  rmax = 5
  tmin = 0.785398163
  tmax = 2.356194490
  growth_r = 1.3
[]

[Variables]
  [./u]
  [../]
[]

[Kernels]
  [./diff]
    type = Diffusion
    variable = u
  [../]
[]

[BCs]
  [./inner]
    type = DirichletBC
    variable = u
    value = -5.0
    boundary = rmin
  [../]
  [./outer]
    type = FunctionDirichletBC
    variable = u
    function = 0
    boundary = rmax
  [../]
  [./tmin]
    type = FunctionDirichletBC
    variable = u
    function = '-5.0+sqrt(x*x + y*y)'
    boundary = tmin
  [../]
  [./tmax]
    type = FunctionDirichletBC
    variable = u
    function = '-5.0+pow(x*x + y*y, 2)/125'
    boundary = tmax
  [../]
[]

[Executioner]
  type = Steady
  solve_type = PJFNK
[]

[Outputs]
  exodus = true
[]

(modules/fluid_properties/test/tests/stiffened_gas/test.i)

[Mesh]
  type = GeneratedMesh
  dim = 2
  nx = 2
  ny = 2
  elem_type = QUAD4
[]

[Functions]
  [./f_fn]
    type = ParsedFunction
    expression = -4
  [../]
  [./bc_fn]
    type = ParsedFunction
    expression = 'x*x+y*y'
  [../]
[]

[Variables]
  [./u]
  [../]
[]

[AuxVariables]
  [./e]
    initial_condition = 113206.45935406466
  [../]
  [./v]
    initial_condition = 0.0007354064593540647
  [../]

  [./p]
    family = MONOMIAL
    order = CONSTANT
  [../]
  [./T]
    family = MONOMIAL
    order = CONSTANT
  [../]
  [./cp]
    family = MONOMIAL
    order = CONSTANT
  [../]
  [./cv]
    family = MONOMIAL
    order = CONSTANT
  [../]
  [./c]
    family = MONOMIAL
    order = CONSTANT
  [../]
  [./mu]
    family = MONOMIAL
    order = CONSTANT
  [../]
  [./k]
    family = MONOMIAL
    order = CONSTANT
  [../]
  [./g]
    family = MONOMIAL
    order = CONSTANT
  [../]
[]

[AuxKernels]
  [./p]
    type = MaterialRealAux
     variable = p
     property = pressure
  [../]
  [./T]
    type = MaterialRealAux
     variable = T
     property = temperature
  [../]
  [./cp]
    type = MaterialRealAux
     variable = cp
     property = cp
  [../]
  [./cv]
    type = MaterialRealAux
     variable = cv
     property = cv
  [../]
  [./c]
    type = MaterialRealAux
     variable = c
     property = c
  [../]
  [./mu]
    type = MaterialRealAux
     variable = mu
     property = mu
  [../]
  [./k]
    type = MaterialRealAux
     variable = k
     property = k
  [../]
  [./g]
    type = MaterialRealAux
     variable = g
     property = g
  [../]
[]

[FluidProperties]
  [./sg]
    type = StiffenedGasFluidProperties
    gamma = 2.35
    q = -1167e3
    q_prime = 0
    p_inf = 1.e9
    cv = 1816

    mu = 0.9
    k = 0.6
  [../]
[]

[Materials]
  [./fp_mat]
    type = FluidPropertiesMaterialVE
    e = e
    v = v
    fp = sg
  [../]
[]

[Kernels]
  [./diff]
    type = Diffusion
    variable = u
  [../]
  [./ffn]
    type = BodyForce
    variable = u
    function = f_fn
  [../]
[]

[BCs]
  [./all]
    type = FunctionDirichletBC
    variable = u
    boundary = 'left right top bottom'
    function = bc_fn
  [../]
[]

[Executioner]
  type = Steady
  solve_type = NEWTON
[]

[Outputs]
  exodus = true
[]

(test/tests/geomsearch/3d_moving_penetration/pl_test3qtt.i)

[GlobalParams]
  order = SECOND
  family = LAGRANGE
[]

[Mesh]
  file = pl_test3qtt.e
  displacements = 'disp_x disp_y disp_z'
[]

[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
[]

[AuxVariables]
  [./distance]
  [../]
  [./tangential_distance]
  [../]
  [./normal_x]
  [../]
  [./normal_y]
  [../]
  [./normal_z]
  [../]
  [./closest_point_x]
  [../]
  [./closest_point_y]
  [../]
  [./closest_point_z]
  [../]
  [./element_id]
  [../]
  [./side]
  [../]
[]

[Kernels]
  [./diff_x]
    type = Diffusion
    variable = disp_x
  [../]
  [./diff_y]
    type = Diffusion
    variable = disp_y
  [../]
  [./diff_z]
    type = Diffusion
    variable = disp_z
  [../]
[]

[AuxKernels]
  [./penetrate]
    type = PenetrationAux
    variable = distance
    boundary = 11            #secondary
    paired_boundary = 12     #primary
    tangential_tolerance = 0.1
  [../]

  [./penetrate2]
    type = PenetrationAux
    variable = distance
    boundary = 12            #secondary
    paired_boundary = 11     #primary
    tangential_tolerance = 0.1
  [../]

  [./penetrate3]
    type = PenetrationAux
    variable = tangential_distance
    boundary = 11
    paired_boundary = 12
    quantity = tangential_distance
  [../]

  [./penetrate4]
    type = PenetrationAux
    variable = tangential_distance
    boundary = 12
    paired_boundary = 11
    quantity = tangential_distance
  [../]

  [./penetrate5]
    type = PenetrationAux
    variable = normal_x
    boundary = 11
    paired_boundary = 12
    quantity = normal_x
  [../]

  [./penetrate6]
    type = PenetrationAux
    variable = normal_x
    boundary = 12
    paired_boundary = 11
    quantity = normal_x
  [../]

  [./penetrate7]
    type = PenetrationAux
    variable = normal_y
    boundary = 11
    paired_boundary = 12
    quantity = normal_y
  [../]

  [./penetrate8]
    type = PenetrationAux
    variable = normal_y
    boundary = 12
    paired_boundary = 11
    quantity = normal_y
  [../]

  [./penetrate9]
    type = PenetrationAux
    variable = normal_z
    boundary = 11
    paired_boundary = 12
    quantity = normal_z
  [../]

  [./penetrate10]
    type = PenetrationAux
    variable = normal_z
    boundary = 12
    paired_boundary = 11
    quantity = normal_z
  [../]

  [./penetrate11]
    type = PenetrationAux
    variable = closest_point_x
    boundary = 11
    paired_boundary = 12
    quantity = closest_point_x
  [../]

  [./penetrate12]
    type = PenetrationAux
    variable = closest_point_x
    boundary = 12
    paired_boundary = 11
    quantity = closest_point_x
  [../]

  [./penetrate13]
    type = PenetrationAux
    variable = closest_point_y
    boundary = 11
    paired_boundary = 12
    quantity = closest_point_y
  [../]

  [./penetrate14]
    type = PenetrationAux
    variable = closest_point_y
    boundary = 12
    paired_boundary = 11
    quantity = closest_point_y
  [../]

  [./penetrate15]
    type = PenetrationAux
    variable = closest_point_z
    boundary = 11
    paired_boundary = 12
    quantity = closest_point_z
  [../]

  [./penetrate16]
    type = PenetrationAux
    variable = closest_point_z
    boundary = 12
    paired_boundary = 11
    quantity = closest_point_z
  [../]

  [./penetrate17]
    type = PenetrationAux
    variable = element_id
    boundary = 11
    paired_boundary = 12
    quantity = element_id
  [../]

  [./penetrate18]
    type = PenetrationAux
    variable = element_id
    boundary = 12
    paired_boundary = 11
    quantity = element_id
  [../]

  [./penetrate19]
    type = PenetrationAux
    variable = side
    boundary = 11
    paired_boundary = 12
    quantity = side
  [../]

  [./penetrate20]
    type = PenetrationAux
    variable = side
    boundary = 12
    paired_boundary = 11
    quantity = side
  [../]
[]

[BCs]
  [./b1x]
    type = DirichletBC
    variable = disp_x
    boundary = 1
    value = 0
  [../]

  [./b1y]
    type = DirichletBC
    variable = disp_y
    boundary = 1
    value = 0
  [../]

  [./b1z]
    type = DirichletBC
    variable = disp_z
    boundary = 1
    value = 0
  [../]

  [./b2x]
    type = DirichletBC
    variable = disp_x
    boundary = 2
    value = 0
  [../]

  [./b2y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 2
    function = disp_y
  [../]

  [./b2z]
    type = DirichletBC
    variable = disp_z
    boundary = 2
    value = 0
  [../]
[]

[Functions]
  [./disp_y]
    type = PiecewiseLinear
    x = '0.0 0.25 0.75 1.0'
    y = '0.0 2.0 -2.0  0.0'
  [../]
[]

[Executioner]
  type = Transient

  solve_type = 'PJFNK'
  petsc_options = '-snes_ksp_ew'

  nl_abs_tol = 1e-7
  l_max_its = 10

  start_time = 0.0
  dt = 0.0125
  end_time = 1.0
  [./Quadrature]
    order = THIRD
  [../]
[]

[Outputs]
  file_base = pl_test3qtt_out
  exodus = true
[]

(modules/solid_mechanics/test/tests/lagrangian/materials/kinematic_check/strain_check.i)

[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 3
  ny = 3
  nz = 3
  elem_type = HEX8
[]

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
  large_kinematics = true
[]

[Physics/SolidMechanics/QuasiStatic]
  [all]
    new_system = true
    formulation = TOTAL
    strain = FINITE
    add_variables = true
    generate_output = 'cauchy_stress_xx cauchy_stress_yy cauchy_stress_zz cauchy_stress_xy'
  []
[]

[Functions]
  [tdisp]
    type = ParsedFunction
    expression = '0.5 * t'
  []
  [tdisp_quer]
    type = ParsedFunction
    expression = '0.5 * y * t'
  []
[]

[BCs]
  [bottom_y]
    type = DirichletBC
    variable = disp_y
    boundary = bottom
    value = 0
  []
  [bottom_x]
    type = DirichletBC
    variable = disp_x
    boundary = bottom
    value = 0
  []
  [bottom_z]
    type = DirichletBC
    variable = disp_z
    boundary = bottom
    value = 0
  []
  [left_x]
    type = DirichletBC
    variable = disp_x
    boundary = left
    value = 0
  []
  [right_x]
    type = DirichletBC
    variable = disp_x
    boundary = right
    value = 0
  []
  [front_z]
    type = DirichletBC
    variable = disp_z
    boundary = front
    value = 0
  []
  [back_z]
    type = DirichletBC
    variable = disp_z
    boundary = back
    value = 0
  []
  [tdisp]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = top
    function = tdisp
  []
[]

[Materials]
  [elasticity]
    type = ComputeIsotropicElasticityTensor
    youngs_modulus = 30
    poissons_ratio = 0.4
  []
  [stress]
    type = ComputeLagrangianWrappedStress
  []
  [stress_base]
    type = ComputeLinearElasticStress
  []
[]

[Preconditioning]
  [smp]
    type = SMP
    full = true
    petsc_options_iname = '-pc_type'
    petsc_options_value = 'lu'
  []
[]

[Executioner]
  type = Transient
  solve_type = Newton
  end_time = 1
  dt = 0.25
[]

(test/tests/geomsearch/2d_moving_penetration/restart.i)

[GlobalParams]
  order = FIRST
  family = LAGRANGE
[]

[Mesh]
  file = pl_test1.e
  displacements = 'disp_x disp_y'
[]

[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
[]

[AuxVariables]
  [./distance]
  [../]
  [./tangential_distance]
  [../]
  [./normal_x]
  [../]
  [./normal_y]
  [../]
  [./closest_point_x]
  [../]
  [./closest_point_y]
  [../]
  [./element_id]
  [../]
  [./side]
  [../]
[]

[Kernels]
  [./diff_x]
    type = Diffusion
    variable = disp_x
  [../]
  [./diff_y]
    type = Diffusion
    variable = disp_y
  [../]
[]

[AuxKernels]
  [./penetrate]
    type = PenetrationAux
    variable = distance
    boundary = 11            #secondary
    paired_boundary = 12     #primary
  [../]

  [./penetrate2]
    type = PenetrationAux
    variable = distance
    boundary = 12            #secondary
    paired_boundary = 11     #primary
  [../]

  [./penetrate3]
    type = PenetrationAux
    variable = tangential_distance
    boundary = 11
    paired_boundary = 12
    quantity = tangential_distance
  [../]

  [./penetrate4]
    type = PenetrationAux
    variable = tangential_distance
    boundary = 12
    paired_boundary = 11
    quantity = tangential_distance
  [../]

  [./penetrate5]
    type = PenetrationAux
    variable = normal_x
    boundary = 11
    paired_boundary = 12
    quantity = normal_x
  [../]

  [./penetrate6]
    type = PenetrationAux
    variable = normal_x
    boundary = 12
    paired_boundary = 11
    quantity = normal_x
  [../]

  [./penetrate7]
    type = PenetrationAux
    variable = normal_y
    boundary = 11
    paired_boundary = 12
    quantity = normal_y
  [../]

  [./penetrate8]
    type = PenetrationAux
    variable = normal_y
    boundary = 12
    paired_boundary = 11
    quantity = normal_y
  [../]

  [./penetrate9]
    type = PenetrationAux
    variable = closest_point_x
    boundary = 11
    paired_boundary = 12
    quantity = closest_point_x
  [../]

  [./penetrate10]
    type = PenetrationAux
    variable = closest_point_x
    boundary = 12
    paired_boundary = 11
    quantity = closest_point_x
  [../]

  [./penetrate11]
    type = PenetrationAux
    variable = closest_point_y
    boundary = 11
    paired_boundary = 12
    quantity = closest_point_y
  [../]

  [./penetrate12]
    type = PenetrationAux
    variable = closest_point_y
    boundary = 12
    paired_boundary = 11
    quantity = closest_point_y
  [../]

  [./penetrate13]
    type = PenetrationAux
    variable = element_id
    boundary = 11
    paired_boundary = 12
    quantity = element_id
  [../]

  [./penetrate14]
    type = PenetrationAux
    variable = element_id
    boundary = 12
    paired_boundary = 11
    quantity = element_id
  [../]

  [./penetrate15]
    type = PenetrationAux
    variable = side
    boundary = 11
    paired_boundary = 12
    quantity = side
  [../]

  [./penetrate16]
    type = PenetrationAux
    variable = side
    boundary = 12
    paired_boundary = 11
    quantity = side
  [../]
[]

[BCs]
  [./b1x]
    type = DirichletBC
    variable = disp_x
    boundary = 1
    value = 0
  [../]

  [./b1y]
    type = DirichletBC
    variable = disp_y
    boundary = 1
    value = 0
  [../]

  [./b2x]
    type = DirichletBC
    variable = disp_x
    boundary = 2
    value = 0
  [../]

  [./b2y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 2
    function = disp_y
  [../]
[]

[Functions]
  [./disp_y]
    type = PiecewiseLinear
    x = '0.0 0.25 0.75 1.0'
    y = '0.0 0.7 -0.7  0.0'
  [../]
[]

[Executioner]
  type = Transient

  solve_type = 'PJFNK'
  petsc_options = '-snes_ksp_ew'

  nl_rel_tol = 1e-9
  l_max_its = 10

  start_time = 0.0
  dt = 0.05
  end_time = 0.5
[]

[Outputs]
  exodus = true
  checkpoint = true
[]

(modules/contact/test/tests/dual_mortar/dm_mechanical_contact_precon.i)

[GlobalParams]
  displacements = 'disp_x disp_y'
  volumetric_locking_correction = true
[]

[Mesh]
  [left_block]
    type = GeneratedMeshGenerator
    dim = 2
    xmin = -1.05
    xmax = -0.05
    ymin = -1
    ymax = 0
    nx = 4
    ny = 8
    elem_type = QUAD4
  []
  [left_block_sidesets]
    type = RenameBoundaryGenerator
    input = left_block
    old_boundary = '0 1 2 3'
    new_boundary = '10 11 12 13'
  []
  [left_block_id]
    type = SubdomainIDGenerator
    input = left_block_sidesets
    subdomain_id = 1
  []
  [right_block]
    type = GeneratedMeshGenerator
    dim = 2
    xmin = 0
    xmax = 1
    ymin = -1
    ymax = 1
    nx = 4
    ny = 8
    elem_type = QUAD4
  []
  [right_block_sidesets]
    type = RenameBoundaryGenerator
    input = right_block
    old_boundary = '0 1 2 3'
    new_boundary = '20 21 22 23'
  []
  [right_block_id]
    type = SubdomainIDGenerator
    input = right_block_sidesets
    subdomain_id = 2
  []

  [combined_mesh]
    type = MeshCollectionGenerator
    inputs = 'left_block_id right_block_id'
  []
[]

[Physics/SolidMechanics/QuasiStatic]
  [all]
    strain = FINITE
    incremental = true
    add_variables = true
    block = '1 2'
  []
[]

[Functions]
  [horizontal_movement]
    type = PiecewiseLinear
    x ='0 0.5 2'
    y = '0 0.1 0.1'
  []
  [vertical_movement]
    type = PiecewiseLinear
    x ='0 0.5 2'
    y = '0.001 0.001 0.2'
  []
[]

[BCs]
  [push_left_x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 13
    function = horizontal_movement
  []
  [fix_right_x]
    type = DirichletBC
    variable = disp_x
    boundary = 21
    value = 0.0
  []
  [fix_right_y]
    type = DirichletBC
    variable = disp_y
    boundary = 21
    value = 0.0
  []
  [push_left_y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 13
    function = vertical_movement
  []
[]

[Materials]
  [elasticity_tensor_left]
    type = ComputeIsotropicElasticityTensor
    block = 1
    youngs_modulus = 1.0e6
    poissons_ratio = 0.3
  []
  [stress_left]
    type = ComputeFiniteStrainElasticStress
    block = 1
  []

  [elasticity_tensor_right]
    type = ComputeIsotropicElasticityTensor
    block = 2
    youngs_modulus = 1.0e6
    poissons_ratio = 0.3
  []
  [stress_right]
    type = ComputeFiniteStrainElasticStress
    block = 2
  []
[]

[Contact]
  [leftright]
    secondary = '11'
    primary = '23'
    formulation = mortar
    model = frictionless
  []
[]

[Preconditioning]
  [vcp]
    type = VCP
    full = true
    lm_variable = 'leftright_normal_lm'
    primary_variable = 'disp_x'
    preconditioner = 'AMG'
    is_lm_coupling_diagonal = true
    adaptive_condensation = true
  []
[]

[Executioner]
  type = Transient
  solve_type = 'NEWTON'

  petsc_options = '-snes_converged_reason -ksp_converged_reason -snes_view'

  dt = 0.2
  dtmin = 0.2
  end_time = 1.0

  l_max_its = 20

  nl_max_its = 8
  nl_rel_tol = 1e-6
  snesmf_reuse_base = false
[]

[Outputs]
  file_base = ./dm_contact_gmesh_out
  [comp]
    type = CSV
    show = 'contact normal_lm avg_disp_x avg_disp_y max_disp_x max_disp_y min_disp_x min_disp_y'
    execute_on = 'FINAL'
  []
[]

[Postprocessors]
  [contact]
    type = ContactDOFSetSize
    variable = leftright_normal_lm
    subdomain = leftright_secondary_subdomain
  []
  [normal_lm]
    type = ElementAverageValue
    variable = leftright_normal_lm
    block = leftright_secondary_subdomain
  []
  [avg_disp_x]
    type = ElementAverageValue
    variable = disp_x
    block = '1 2'
  []
  [avg_disp_y]
    type = ElementAverageValue
    variable = disp_y
    block = '1 2'
  []
  [max_disp_x]
    type = ElementExtremeValue
    variable = disp_x
    block = '1 2'
  []
  [max_disp_y]
    type = ElementExtremeValue
    variable = disp_y
    block = '1 2'
  []
  [min_disp_x]
    type = ElementExtremeValue
    variable = disp_x
    block = '1 2'
    value_type = min
  []
  [min_disp_y]
    type = ElementExtremeValue
    variable = disp_y
    block = '1 2'
    value_type = min
  []
[]

(modules/heat_transfer/test/tests/gap_heat_transfer_htonly/sphere2DRZ.i)

#
# 2DRZ Spherical Gap Heat Transfer Test.
#
# This test exercises 2D gap heat transfer for a constant conductivity gap.
#
# The mesh consists of an inner solid sphere of radius = 1 unit, and outer
# hollow sphere with an inner radius of 2. In other words, the gap between
# them is 1 radial unit in length.
#
# The conductivity of both spheres is set very large to achieve a uniform
# temperature in each sphere. The temperature of the center node of the
# inner sphere is ramped from 100 to 200 over one time unit. The
# temperature of the outside of the outer, hollow sphere is held fixed
# at 100.
#
# A simple analytical solution is possible for the integrated heat flux
# between the inner and outer spheres:
#
#  Integrated Flux = (T_left - T_right) * (gapK/(r^2*((1/r1)-(1/r2)))) * Area
#
# For gapK = 1 (default value)
#
# The area is taken as the area of the secondary (inner) surface:
#
# Area = 4 * pi * 1^2 (4*pi*r^2)
#
# The integrated heat flux across the gap at time 1 is then:
#
# 4*pi*k*delta_T/((1/r1)-(1/r2))
# 4*pi*1*100/((1/1) - (1/2)) =  2513.3 watts
#
# For comparison, see results from the integrated flux post processors.
# This simulation makes use of symmetry, so only 1/2 of the spheres is meshed
# As such, the integrated flux from the post processors is 1/2 of the total,
# or 1256.6 watts... i.e. 400*pi.
# The value coming from the post processor is slightly less than this
# but converges as mesh refinement increases.
#
# Simulating contact is challenging. Regression tests that exercise
# contact features can be difficult to solve consistently across multiple
# platforms. While designing these tests, we felt it worth while to note
# some aspects of these tests. The following applies to:
# sphere3D.i, sphere2DRZ.i, cyl2D.i, and cyl3D.i.
# 1. We decided that to perform consistently across multiple platforms we
# would use very small convergence tolerance. In this test we chose an
# nl_rel_tol of 1e-12.
# 2. Due to such a high value for thermal conductivity (used here so that the
# domains come to a uniform temperature) the integrated flux at time = 0
# was relatively large (the value coming from SideIntegralFlux =
#  -_diffusion_coef[_qp]*_grad_u[_qp]*_normals[_qp] where the diffusion coefficient
# here is thermal conductivity).
# Even though _grad_u[_qp] is small, in this case the diffusion coefficient
# is large. The result is a number that isn't exactly zero and tends to
# fail exodiff. For this reason the parameter execute_on = initial should not
# be used. That parameter is left to default settings in these regression tests.
#
[GlobalParams]
  order = SECOND
  family = LAGRANGE
[]

[Problem]
  coord_type = RZ
[]

[Mesh]
  file = cyl2D.e
[]

[Functions]
  [./temp]
    type = PiecewiseLinear
    x = '0   1'
    y = '100 200'
  [../]
[]


[Variables]
  [./temp]
    initial_condition = 100
  [../]
[]

[AuxVariables]
  [./gap_conductance]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]


[Kernels]
  [./heat_conduction]
    type = HeatConduction
    variable = temp
  [../]
[]


[AuxKernels]
  [./gap_cond]
    type = MaterialRealAux
    property = gap_conductance
    variable = gap_conductance
    boundary = 2
  [../]
[]

[Materials]
  [./heat1]
    type = HeatConductionMaterial
    block = '1 2'
    specific_heat = 1.0
    thermal_conductivity = 1000000.0
  [../]
[]

[ThermalContact]
  [./thermal_contact]
    type = GapHeatTransfer
    variable = temp
    primary = 3
    secondary = 2
    emissivity_primary = 0
    emissivity_secondary = 0
    gap_conductivity = 1
    quadrature = true
    gap_geometry_type = SPHERE
    sphere_origin = '0 0 0'
  [../]
[]

[BCs]
  [./mid]
    type = FunctionDirichletBC
    boundary = 1
    variable = temp
    function = temp
  [../]
  [./temp_far_right]
    type = DirichletBC
    boundary = 4
    variable = temp
    value = 100
  [../]
[]

[Executioner]
  type = Transient
  solve_type = 'PJFNK'

  petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
  petsc_options_value = 'lu       superlu_dist'

  dt = 1
  dtmin = 0.01
  end_time = 1

  nl_rel_tol = 1e-12
  nl_abs_tol = 1e-7

  [./Quadrature]
    order = fifth
    side_order = seventh
  [../]
[]

[Outputs]
  exodus = true
  [./Console]
    type = Console
  [../]
[]

[Postprocessors]
  [./temp_left]
    type = SideAverageValue
    boundary = 2
    variable = temp
  [../]

  [./temp_right]
    type = SideAverageValue
    boundary = 3
    variable = temp
  [../]

  [./flux_left]
    type = SideDiffusiveFluxIntegral
    variable = temp
    boundary = 2
    diffusivity = thermal_conductivity
  [../]

  [./flux_right]
    type = SideDiffusiveFluxIntegral
    variable = temp
    boundary = 3
    diffusivity = thermal_conductivity
  [../]
[]

(modules/solid_mechanics/examples/coal_mining/cosserat_mc_only.i)

# Strata deformation and fracturing around a coal mine
#
# A 2D geometry is used that simulates a transverse section of
# the coal mine.  The model is actually 3D, but the "x"
# dimension is only 10m long, meshed with 1 element, and
# there is no "x" displacement.  The mine is 300m deep
# and just the roof is studied (0<=z<=300).  The model sits
# between 0<=y<=450.  The excavation sits in 0<=y<=150.  This
# is a "half model": the boundary conditions are such that
# the model simulates an excavation sitting in -150<=y<=150
# inside a model of the region -450<=y<=450.  The
# excavation height is 3m (ie, the excavation lies within
# 0<=z<=3).  Mining is simulated by moving the excavation's
# roof down, until disp_z=-3 at t=1.
# Time is meaningless in this example
# as quasi-static solutions are sought at each timestep, but
# the number of timesteps controls the resolution of the
# process.
#
# The boundary conditions are:
#  - disp_x = 0 everywhere
#  - disp_y = 0 at y=0 and y=450
#  - disp_z = 0 for y>150
#  - disp_z = -3 at maximum, for 0<=y<=150.  See excav function.
# That is, rollers on the sides, free at top, and prescribed at bottom.
#
# The small strain formulation is used.
#
# All stresses are measured in MPa.  The initial stress is consistent with
# the weight force from density 2500 kg/m^3, ie, stress_zz = -0.025*(300-z) MPa
# where gravity = 10 m.s^-2 = 1E-5 MPa m^2/kg.  The maximum and minimum
# principal horizontal stresses are assumed to be equal to 0.8*stress_zz.
#
# Below you will see weak-plane parameters and AuxVariables, etc.
# These are not actally used in this example.
#
# Material properties:
# Young's modulus = 8 GPa
# Poisson's ratio = 0.25
# Cosserat layer thickness = 1 m
# Cosserat-joint normal stiffness = large
# Cosserat-joint shear stiffness = 1 GPa
# MC cohesion = 3 MPa
# MC friction angle = 37 deg
# MC dilation angle = 8 deg
# MC tensile strength = 1 MPa
# MC compressive strength = 100 MPa, varying down to 1 MPa when tensile strain = 1
#
[Mesh]
  [generated_mesh]
    type = GeneratedMeshGenerator
    dim = 3
    nx = 1
    xmin = -5
    xmax = 5
    nz = 40
    zmin = 0
    zmax = 400.0
    bias_z = 1.1
    ny = 30 # make this a multiple of 3, so y=150 is at a node
    ymin = 0
    ymax = 450
  []
  [left]
    type = SideSetsAroundSubdomainGenerator
    new_boundary = 11
    normal = '0 -1 0'
    input = generated_mesh
  []
  [right]
    type = SideSetsAroundSubdomainGenerator
    new_boundary = 12
    normal = '0 1 0'
    input = left
  []
  [front]
    type = SideSetsAroundSubdomainGenerator
    new_boundary = 13
    normal = '-1 0 0'
    input = right
  []
  [back]
    type = SideSetsAroundSubdomainGenerator
    new_boundary = 14
    normal = '1 0 0'
    input = front
  []
  [top]
    type = SideSetsAroundSubdomainGenerator
    new_boundary = 15
    normal = '0 0 1'
    input = back
  []
  [bottom]
    type = SideSetsAroundSubdomainGenerator
    new_boundary = 16
    normal = '0 0 -1'
    input = top
  []
  [excav]
    type = SubdomainBoundingBoxGenerator
    block_id = 1
    bottom_left = '-5 0 0'
    top_right = '5 150 3'
    input = bottom
  []
  [roof]
    type = SideSetsBetweenSubdomainsGenerator
    new_boundary = 21
    primary_block = 0
    paired_block = 1
    input = excav
  []
  [hole]
    type = BlockDeletionGenerator
    block = 1
    input = roof
  []
[]

[GlobalParams]
  block = 0
  perform_finite_strain_rotations = false
  displacements = 'disp_x disp_y disp_z'
  Cosserat_rotations = 'wc_x wc_y wc_z'
[]

[Variables]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
  [./wc_x]
  [../]
[]

[Kernels]
  [./cy_elastic]
    type = CosseratStressDivergenceTensors
    use_displaced_mesh = false
    variable = disp_y
    component = 1
  [../]
  [./cz_elastic]
    type = CosseratStressDivergenceTensors
    use_displaced_mesh = false
    variable = disp_z
    component = 2
  [../]
  [./x_couple]
    type = StressDivergenceTensors
    use_displaced_mesh = false
    variable = wc_x
    displacements = 'wc_x wc_y wc_z'
    component = 0
    base_name = couple
  [../]
  [./x_moment]
    type = MomentBalancing
    use_displaced_mesh = false
    variable = wc_x
    component = 0
  [../]
  [./gravity]
    type = Gravity
    use_displaced_mesh = false
    variable = disp_z
    value = -10E-6
  [../]
[]


[AuxVariables]
  [./disp_x]
  [../]
  [./wc_y]
  [../]
  [./wc_z]
  [../]
  [./stress_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./mc_shear]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./mc_tensile]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./wp_shear]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./wp_tensile]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./wp_shear_f]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./wp_tensile_f]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./mc_shear_f]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./mc_tensile_f]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]

[AuxKernels]
  [./stress_xx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xx
    index_i = 0
    index_j = 0
  [../]
  [./stress_yy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yy
    index_i = 1
    index_j = 1
  [../]
  [./stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zz
    index_i = 2
    index_j = 2
  [../]
  [./mc_shear]
    type = MaterialStdVectorAux
    index = 0
    property = mc_plastic_internal_parameter
    variable = mc_shear
  [../]
  [./mc_tensile]
    type = MaterialStdVectorAux
    index = 1
    property = mc_plastic_internal_parameter
    variable = mc_tensile
  [../]
  [./wp_shear]
    type = MaterialStdVectorAux
    index = 0
    property = wp_plastic_internal_parameter
    variable = wp_shear
  [../]
  [./wp_tensile]
    type = MaterialStdVectorAux
    index = 1
    property = wp_plastic_internal_parameter
    variable = wp_tensile
  [../]
  [./mc_shear_f]
    type = MaterialStdVectorAux
    index = 6
    property = mc_plastic_yield_function
    variable = mc_shear_f
  [../]
  [./mc_tensile_f]
    type = MaterialStdVectorAux
    index = 0
    property = mc_plastic_yield_function
    variable = mc_tensile_f
  [../]
  [./wp_shear_f]
    type = MaterialStdVectorAux
    index = 0
    property = wp_plastic_yield_function
    variable = wp_shear_f
  [../]
  [./wp_tensile_f]
    type = MaterialStdVectorAux
    index = 1
    property = wp_plastic_yield_function
    variable = wp_tensile_f
  [../]
[]



[BCs]
  [./no_y]
    type = DirichletBC
    variable = disp_y
    boundary = '11 12 16 21' # note addition of 16 and 21
    value = 0.0
  [../]
  [./no_z]
    type = DirichletBC
    variable = disp_z
    boundary = '16'
    value = 0.0
  [../]
  [./no_wc_x]
    type = DirichletBC
    variable = wc_x
    boundary = '11 12'
    value = 0.0
  [../]
  [./roof]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 21
    function = excav_sideways
  [../]
[]

[Functions]
  [./ini_xx]
    type = ParsedFunction
    expression = '-0.8*2500*10E-6*(400-z)'
  [../]
  [./ini_zz]
    type = ParsedFunction
    expression = '-2500*10E-6*(400-z)'
  [../]
  [./excav_sideways]
    type = ParsedFunction
    symbol_names = 'end_t ymin ymax  e_h  closure_dist'
    symbol_values = '1.0   0    150.0 -3.0 15.0'
    expression = 'e_h*max(min((t/end_t*(ymax-ymin)+ymin-y)/closure_dist,1),0)'
  [../]
  [./excav_downwards]
    type = ParsedFunction
    symbol_names = 'end_t ymin ymax  e_h  closure_dist'
    symbol_values = '1.0   0    150.0 -3.0 15.0'
    expression = 'e_h*t/end_t*max(min(((ymax-ymin)+ymin-y)/closure_dist,1),0)'
  [../]
[]

[UserObjects]
  [./mc_coh_strong_harden]
    type = SolidMechanicsHardeningExponential
    value_0 = 2.99 # MPa
    value_residual = 3.01 # MPa
    rate = 1.0
  [../]
  [./mc_fric]
    type = SolidMechanicsHardeningConstant
    value = 0.65 # 37deg
  [../]
  [./mc_dil]
    type = SolidMechanicsHardeningConstant
    value = 0.15 # 8deg
  [../]

  [./mc_tensile_str_strong_harden]
    type = SolidMechanicsHardeningExponential
    value_0 = 1.0 # MPa
    value_residual = 1.0 # MPa
    rate = 1.0
  [../]
  [./mc_compressive_str]
    type = SolidMechanicsHardeningCubic
    value_0 = 100 # Large!
    value_residual = 100
    internal_limit = 0.1
  [../]

  [./wp_coh_harden]
    type = SolidMechanicsHardeningCubic
    value_0 = 0.1
    value_residual = 0.1
    internal_limit = 10
  [../]
  [./wp_tan_fric]
    type = SolidMechanicsHardeningConstant
    value = 0.36 # 20deg
  [../]
  [./wp_tan_dil]
    type = SolidMechanicsHardeningConstant
    value = 0.18 # 10deg
  [../]

  [./wp_tensile_str_harden]
    type = SolidMechanicsHardeningCubic
    value_0 = 0.1
    value_residual = 0.1
    internal_limit = 10
  [../]
  [./wp_compressive_str_soften]
    type = SolidMechanicsHardeningCubic
    value_0 = 100
    value_residual = 1.0
    internal_limit = 1.0
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeLayeredCosseratElasticityTensor
    young = 8E3 # MPa
    poisson = 0.25
    layer_thickness = 1.0
    joint_normal_stiffness = 1E9 # huge
    joint_shear_stiffness = 1E3
  [../]

  [./strain]
    type = ComputeCosseratIncrementalSmallStrain
    eigenstrain_names = ini_stress
  [../]
  [./ini_stress]
    type = ComputeEigenstrainFromInitialStress
    initial_stress = 'ini_xx 0 0  0 ini_xx 0  0 0 ini_zz'
    eigenstrain_name = ini_stress
  [../]

  [./stress]
    type = ComputeMultipleInelasticCosseratStress
    block = 0
    inelastic_models = mc
    relative_tolerance = 2.0
    absolute_tolerance = 1E6
    max_iterations = 1
    tangent_operator = nonlinear
    perform_finite_strain_rotations = false
  [../]
  [./mc]
    type = CappedMohrCoulombCosseratStressUpdate
    block = 0
    warn_about_precision_loss = false
    host_youngs_modulus = 8E3
    host_poissons_ratio = 0.25
    base_name = mc
    tensile_strength = mc_tensile_str_strong_harden
    compressive_strength = mc_compressive_str
    cohesion = mc_coh_strong_harden
    friction_angle = mc_fric
    dilation_angle = mc_dil
    max_NR_iterations = 100000
    smoothing_tol = 0.1 # MPa  # Must be linked to cohesion
    yield_function_tol = 1E-9 # MPa.  this is essentially the lowest possible without lots of precision loss
    perfect_guess = true
    min_step_size = 1.0
  [../]
  [./wp]
    type = CappedWeakPlaneCosseratStressUpdate
    block = 0
    warn_about_precision_loss = false
    base_name = wp
    cohesion = wp_coh_harden
    tan_friction_angle = wp_tan_fric
    tan_dilation_angle = wp_tan_dil
    tensile_strength = wp_tensile_str_harden
    compressive_strength = wp_compressive_str_soften
    max_NR_iterations = 10000
    tip_smoother = 0.1
    smoothing_tol = 0.1 # MPa  # Note, this must be tied to cohesion, otherwise get no possible return at cone apex
    yield_function_tol = 1E-11 # MPa.  this is essentially the lowest possible without lots of precision loss
    perfect_guess = true
    min_step_size = 1.0E-3
  [../]


  [./density]
    type = GenericConstantMaterial
    prop_names = density
    prop_values = 2500
  [../]
[]

[Postprocessors]
  [./subsidence]
    type = PointValue
    point = '0 0 400'
    variable = disp_z
    use_displaced_mesh = false
  [../]
[]
[Preconditioning]
  [./SMP]
    type = SMP
    full = true
  []
[]

[Executioner]
  type = Transient

  solve_type = 'NEWTON'

  petsc_options = '-snes_converged_reason'
  petsc_options_iname = '-pc_type -pc_asm_overlap -sub_pc_type -ksp_type -ksp_gmres_restart'
  petsc_options_value = ' asm      2              lu            gmres     200'

  line_search = bt

  nl_abs_tol = 1e-3
  nl_rel_tol = 1e-5

  l_max_its = 30
  nl_max_its = 1000

  start_time = 0.0
  dt = 0.2
  end_time = 0.2

[]

[Outputs]
  file_base = cosserat_mc_only
  time_step_interval = 1
  print_linear_residuals = false
  csv = true
  exodus = true
  [./console]
    type = Console
    output_linear = false
  [../]
[]

(modules/solid_mechanics/test/tests/capped_weak_plane/small_deform_inclined2.i)

# Plastic deformation, tensile failure, with normal=(1,0,0)
# With Lame lambda=0 and Lame mu=1, applying the following
# deformation to the zmax surface of a unit cube:
# disp_x = t
# should yield trial stress:
# stress_xx = 2*t
# Use tensile strength = 1, we should return to stress_xx = 1
[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]

[Physics/SolidMechanics/QuasiStatic]
  [./all]
    add_variables = true
    incremental = true
    generate_output = 'stress_xx stress_xy stress_xz stress_yy stress_yz stress_zz plastic_strain_xx plastic_strain_xy plastic_strain_xz plastic_strain_yy plastic_strain_yz plastic_strain_zz strain_xx strain_xy strain_xz strain_yy strain_yz strain_zz'
  [../]
[]

[BCs]
  [./bottomx]
    type = DirichletBC
    variable = disp_x
    boundary = left
    value = 0.0
  [../]
  [./bottomy]
    type = DirichletBC
    variable = disp_y
    boundary = left
    value = 0.0
  [../]
  [./bottomz]
    type = DirichletBC
    variable = disp_z
    boundary = left
    value = 0.0
  [../]

  [./topx]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = right
    function = t
  [../]
  [./topy]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = right
    function = 0
  [../]
  [./topz]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = right
    function = 0
  [../]
[]

[AuxVariables]
  [./f_shear]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f_tensile]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f_compressive]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./intnl_shear]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./intnl_tensile]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./iter]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./ls]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]

[AuxKernels]
  [./f_shear]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 0
    variable = f_shear
  [../]
  [./f_tensile]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 1
    variable = f_tensile
  [../]
  [./f_compressive]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 2
    variable = f_compressive
  [../]
  [./intnl_shear]
    type = MaterialStdVectorAux
    property = plastic_internal_parameter
    index = 0
    variable = intnl_shear
  [../]
  [./intnl_tensile]
    type = MaterialStdVectorAux
    property = plastic_internal_parameter
    index = 1
    variable = intnl_tensile
  [../]
  [./iter]
    type = MaterialRealAux
    property = plastic_NR_iterations
    variable = iter
  [../]
  [./ls]
    type = MaterialRealAux
    property = plastic_linesearch_needed
    variable = ls
  [../]
[]

[Postprocessors]
  [./stress_xx]
    type = PointValue
    point = '0 0 0'
    variable = stress_xx
  [../]
  [./stress_xy]
    type = PointValue
    point = '0 0 0'
    variable = stress_xy
  [../]
  [./stress_xz]
    type = PointValue
    point = '0 0 0'
    variable = stress_xz
  [../]
  [./stress_yy]
    type = PointValue
    point = '0 0 0'
    variable = stress_yy
  [../]
  [./stress_yz]
    type = PointValue
    point = '0 0 0'
    variable = stress_yz
  [../]
  [./stress_zz]
    type = PointValue
    point = '0 0 0'
    variable = stress_zz
  [../]
  [./strainp_xx]
    type = PointValue
    point = '0 0 0'
    variable = plastic_strain_xx
  [../]
  [./strainp_xy]
    type = PointValue
    point = '0 0 0'
    variable = plastic_strain_xy
  [../]
  [./strainp_xz]
    type = PointValue
    point = '0 0 0'
    variable = plastic_strain_xz
  [../]
  [./strainp_yy]
    type = PointValue
    point = '0 0 0'
    variable = plastic_strain_yy
  [../]
  [./strainp_yz]
    type = PointValue
    point = '0 0 0'
    variable = plastic_strain_yz
  [../]
  [./strainp_zz]
    type = PointValue
    point = '0 0 0'
    variable = plastic_strain_zz
  [../]
  [./straint_xx]
    type = PointValue
    point = '0 0 0'
    variable = strain_xx
  [../]
  [./straint_xy]
    type = PointValue
    point = '0 0 0'
    variable = strain_xy
  [../]
  [./straint_xz]
    type = PointValue
    point = '0 0 0'
    variable = strain_xz
  [../]
  [./straint_yy]
    type = PointValue
    point = '0 0 0'
    variable = strain_yy
  [../]
  [./straint_yz]
    type = PointValue
    point = '0 0 0'
    variable = strain_yz
  [../]
  [./straint_zz]
    type = PointValue
    point = '0 0 0'
    variable = strain_zz
  [../]
  [./f_shear]
    type = PointValue
    point = '0 0 0'
    variable = f_shear
  [../]
  [./f_tensile]
    type = PointValue
    point = '0 0 0'
    variable = f_tensile
  [../]
  [./f_compressive]
    type = PointValue
    point = '0 0 0'
    variable = f_compressive
  [../]
  [./intnl_shear]
    type = PointValue
    point = '0 0 0'
    variable = intnl_shear
  [../]
  [./intnl_tensile]
    type = PointValue
    point = '0 0 0'
    variable = intnl_tensile
  [../]
  [./iter]
    type = PointValue
    point = '0 0 0'
    variable = iter
  [../]
  [./ls]
    type = PointValue
    point = '0 0 0'
    variable = ls
  [../]
[]


[UserObjects]
  [./coh]
    type = SolidMechanicsHardeningConstant
    value = 30
  [../]
  [./tanphi]
    type = SolidMechanicsHardeningConstant
    value = 0.5
  [../]
  [./tanpsi]
    type = SolidMechanicsHardeningConstant
    value = 0.1111077
  [../]
  [./t_strength]
    type = SolidMechanicsHardeningConstant
    value = 1
  [../]
  [./c_strength]
    type = SolidMechanicsHardeningConstant
    value = 40
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    fill_method = symmetric_isotropic
    C_ijkl = '0 1'
  [../]
  [./admissible]
    type = ComputeMultipleInelasticStress
    inelastic_models = stress
    perform_finite_strain_rotations = false
  [../]
  [./stress]
    type = CappedWeakInclinedPlaneStressUpdate
    normal_vector = '1 0 0'
    cohesion = coh
    tan_friction_angle = tanphi
    tan_dilation_angle = tanpsi
    tensile_strength = t_strength
    compressive_strength = c_strength
    tip_smoother = 0
    smoothing_tol = 0
    yield_function_tol = 1E-5
  [../]
[]

[Executioner]
  end_time = 2
  dt = 1
  type = Transient
[]

[Outputs]
  file_base = small_deform_inclined2
  csv = true
[]

(modules/solid_mechanics/test/tests/weak_plane_shear/large_deform1.i)

# rotate the mesh by 90degrees
# then pull in the z direction - should be no plasticity
[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]

[Mesh]
  type = GeneratedMesh
  dim = 3
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]

[Physics/SolidMechanics/QuasiStatic/all]
  strain = FINITE
  add_variables = true
  decomposition_method = EigenSolution
  generate_output = 'stress_xz stress_zx stress_yz stress_zz'
[]

[BCs]
  # rotate:
  # ynew = c*y + s*z.  znew = -s*y + c*z
  [bottomx]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = back
    function = '0'
  []
  [bottomy]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = back
    function = '0*y+1*z-y'
  []
  [bottomz]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = back
    function = '-1*y+0*z-z+if(t>0,0.5-y,0)' # note that this uses original nodal values of (x,y,z)
  []

  [topx]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = front
    function = '0'
  []
  [topy]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = front
    function = '0*y+1*z-y'
  []
  [topz]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = front
    function = '-1*y+0*z-z+if(t>0,0.5-y,0)' # note that this uses original nodal values of (x,y,z)
  []
[]

[AuxVariables]
  [yield_fcn]
    order = CONSTANT
    family = MONOMIAL
  []
[]

[AuxKernels]
  [yield_fcn_auxk]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 0
    variable = yield_fcn
  []
[]

[Postprocessors]
  [s_xz]
    type = PointValue
    point = '0 0 0'
    variable = stress_xz
  []
  [s_yz]
    type = PointValue
    point = '0 0 0'
    variable = stress_yz
  []
  [s_zz]
    type = PointValue
    point = '0 0 0'
    variable = stress_zz
  []
  [f]
    type = PointValue
    point = '0 0 0'
    variable = yield_fcn
  []
[]

[UserObjects]
  [coh]
    type = SolidMechanicsHardeningConstant
    value = 1
  []
  [tanphi]
    type = SolidMechanicsHardeningConstant
    value = 0.5
  []
  [tanpsi]
    type = SolidMechanicsHardeningConstant
    value = 0.1111077
  []
  [wps]
    type = SolidMechanicsPlasticWeakPlaneShear
    cohesion = coh
    tan_friction_angle = tanphi
    tan_dilation_angle = tanpsi
    smoother = 0.5
    yield_function_tolerance = 1E-6
    internal_constraint_tolerance = 1E-6
  []
[]

[Materials]
  [elasticity_tensor]
    type = ComputeElasticityTensor
    fill_method = symmetric_isotropic
    C_ijkl = '0 1E6'
  []
  [mc]
    type = ComputeMultiPlasticityStress
    plastic_models = wps
    transverse_direction = '0 0 1'
    ep_plastic_tolerance = 1E-5
    debug_fspb = crash
  []
[]


[Executioner]
  start_time = -1
  end_time = 1
  dt = 1
  type = Transient
[]


[Outputs]
  exodus = true
[]

(modules/solid_mechanics/test/tests/uel/small.i)

[Mesh]
  [gen]
    type = GeneratedMeshGenerator
    dim = 2
    nx = 20
    ny = 10
    xmax = 10
    ymax = 3
    elem_type = TRI3
  []
  [pin]
    type = ExtraNodesetGenerator
    nodes = 106
    new_boundary = pin
    input = gen
  []
  displacements = 'disp_x disp_y'
[]

[Variables]
  [disp_x]
  []
  [disp_y]
  []
[]

[BCs]
  [left_x]
    type = DirichletBC
    variable = disp_x
    boundary = left
    value = 0
  []
  [left_y]
    type = DirichletBC
    variable = disp_y
    boundary = pin
    value = 0
  []

  inactive = 'right_dirichlet'
  [right_neumann]
    type = FunctionNeumannBC
    variable = disp_x
    function = t
    boundary = right
  []
  [right_dirichlet]
    type = FunctionDirichletBC
    variable = disp_x
    function = t/10
    boundary = right
  []
[]

[UserObjects]
  [uel]
    type = AbaqusUserElement
    variables = 'disp_x disp_y'
    plugin = ../../plugins/small_strain_tri_uel
    use_displaced_mesh = false
    num_state_vars = 8
    constant_properties = '100 0.3' # E nu
    extra_vector_tags = 'kernel_residual'
  []
[]

[Problem]
  kernel_coverage_check = false
  extra_tag_vectors = 'kernel_residual'
[]

[AuxVariables]
  [res_x]
  []
  [res_y]
  []
[]

[AuxKernels]
  [res_x]
    type = TagVectorAux
    variable = res_x
    v = disp_x
    vector_tag = kernel_residual
  []
  [res_y]
    type = TagVectorAux
    variable = res_y
    v = disp_y
    vector_tag = kernel_residual
  []
[]

[Executioner]
  type = Transient
  solve_type = NEWTON
  petsc_options_iname = '-pc_type'
  petsc_options_value = 'lu'
  dt = 1
  num_steps = 15
[]

[Postprocessors]
  [delta_l]
    type = SideAverageValue
    variable = disp_x
    boundary = right
    execute_on = 'INITIAL TIMESTEP_END'
  []
  [V]
    type = ElementIntegralMaterialProperty
    mat_prop = 1
    use_displaced_mesh = true
    execute_on = 'INITIAL TIMESTEP_END'
  []
[]

[Outputs]
  exodus = true
  csv = true
[]

(modules/solid_mechanics/test/tests/tensile/small_deform3.i)

# checking for small deformation
# A single element is stretched by "ep" in the z and x directions
# This causes the return direction to be along the hypersurface sigma_I = sigma_II
# tensile_strength is set to 1Pa, tip_smoother = 0, edge_smoother = 25degrees
# Then A + B + C = 0.609965
#
# The trial stress is (la, 0, la), with mean stress 2la/3, and bar(sigma)=sqrt(secondInvariant)=la/sqrt(3)
# If this sits on the yield surface then
# 2la/3 + la*K/sqrt(3) - 1 = 0
# So la = 0.9815.  Therefore, with young's modulus = 2MPa, we need "ep" = 0.9815/4.  I set
# "ep" = 0.25 and observe a tiny amount of yielding


[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]

[Physics/SolidMechanics/QuasiStatic]
  [./all]
    add_variables = true
    incremental = true
    strain = finite
    generate_output = 'stress_xx stress_xy stress_xz stress_yy stress_yz stress_zz'
  [../]
[]


[BCs]
  [./x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'front back'
    function = '0.25E-6*x'
  [../]
  [./y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'front back'
    function = '0'
  [../]
  [./z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'front back'
    function = '0.25E-6*z'
  [../]
[]

[AuxVariables]
  [./yield_fcn]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]

[AuxKernels]
  [./yield_fcn_auxk]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 0
    variable = yield_fcn
  [../]
[]

[Postprocessors]
  [./s_xx]
    type = PointValue
    point = '0 0 0'
    variable = stress_xx
  [../]
  [./s_xy]
    type = PointValue
    point = '0 0 0'
    variable = stress_xy
  [../]
  [./s_xz]
    type = PointValue
    point = '0 0 0'
    variable = stress_xz
  [../]
  [./s_yy]
    type = PointValue
    point = '0 0 0'
    variable = stress_yy
  [../]
  [./s_yz]
    type = PointValue
    point = '0 0 0'
    variable = stress_yz
  [../]
  [./s_zz]
    type = PointValue
    point = '0 0 0'
    variable = stress_zz
  [../]
  [./f]
    type = PointValue
    point = '0 0 0'
    variable = yield_fcn
  [../]
[]

[UserObjects]
  [./ts]
    type = SolidMechanicsHardeningConstant
    value = 1
  [../]
  [./mc]
    type = SolidMechanicsPlasticTensile
    tensile_strength = ts
    yield_function_tolerance = 1E-6
    tensile_tip_smoother = 0.0
    internal_constraint_tolerance = 1E-5
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    block = 0
    fill_method = symmetric_isotropic
    C_ijkl = '0 2.0E6'
  [../]
  [./mc]
    type = ComputeMultiPlasticityStress
    block = 0
    ep_plastic_tolerance = 1E-5
    plastic_models = mc
    debug_fspb = crash
  [../]
[]


[Executioner]
  end_time = 1
  dt = 1
  type = Transient
[]


[Outputs]
  file_base = small_deform3
  exodus = false
  [./csv]
    type = CSV
    [../]
[]

(modules/peridynamics/test/tests/failure_tests/2D_singular_shape_tensor_H1NOSPD.i)


[GlobalParams]
  displacements = 'disp_x disp_y'
[]

[Mesh]
  type = PeridynamicsMesh
  horizon_number = 3
  cracks_start = '0.25 0.5 0'
  cracks_end = '0.75 0.5 0'

  [./gmg]
    type = GeneratedMeshGenerator
    dim = 2
    nx = 8
    ny = 8
  [../]
  [./gpd]
    type = MeshGeneratorPD
    input = gmg
    retain_fe_mesh = false
  [../]
[]

[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
[]

[AuxVariables]
  [./critical_stress]
    family = MONOMIAL
    order = CONSTANT
  [../]
[]

[AuxKernels]
  [./bond_status]
    type = RankTwoBasedFailureCriteriaNOSPD
    variable = bond_status
    rank_two_tensor = stress
    critical_variable = critical_stress
    failure_criterion = VonMisesStress
  [../]
[]

[UserObjects]
  [./singular_shape_tensor]
    type = SingularShapeTensorEliminatorUserObjectPD
  [../]
[]

[ICs]
  [./critical_stretch]
    type = ConstantIC
    variable = critical_stress
    value = 150
  [../]
[]

[BCs]
  [./left_x]
    type = DirichletBC
    variable = disp_x
    boundary = 1003
    value = 0.0
  [../]
  [./top_y]
    type = DirichletBC
    variable = disp_y
    boundary = 1002
    value = 0.0
  [../]
  [./bottom_y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 1000
    function = '-0.002*t'
  [../]

  [./rbm_x]
    type = RBMPresetOldValuePD
    variable = disp_x
    boundary = 999
  [../]
  [./rbm_y]
    type = RBMPresetOldValuePD
    variable = disp_y
    boundary = 999
  [../]
[]

[Modules/Peridynamics/Mechanics/Master]
  [./all]
    formulation = NONORDINARY_STATE
    stabilization = BOND_HORIZON_I
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeIsotropicElasticityTensor
    youngs_modulus = 2e5
    poissons_ratio = 0.33
  [../]
  [./strain]
    type = ComputeSmallStrainNOSPD
    stabilization = BOND_HORIZON_I
  [../]
  [./stress]
    type = ComputeLinearElasticStress
  [../]
[]

[Preconditioning]
  [./SMP]
    type = SMP
    full = true
  [../]
[]

[Executioner]
  type = Transient
  solve_type = PJFNK
  line_search = none
  start_time = 0
  dt = 1
  end_time = 1

  [./Quadrature]
    type = GAUSS_LOBATTO
    order = FIRST
  [../]
[]

[Outputs]
  file_base = 2D_singular_shape_tensor_H1NOSPD
  exodus = true
[]

(test/tests/executioners/transient_sync_time/transient_time_interval_output_test.i)

[Mesh]
  type = GeneratedMesh
  dim = 2
  nx = 20
  ny = 20
[]

[Variables]
  [./u]
    order = FIRST
    family = LAGRANGE
  [../]
[]

[Functions]
  [./bc_func]
    type = ParsedFunction
    expression = sin(pi*0.1*x*t)
  [../]

  # Laplacian of the function above
  [./interior_func]
    type = ParsedFunction
    expression = 0.01*pi*pi*t*t*sin(0.1*pi*x*t)
  [../]
[]

[Kernels]
  [./diff]
    type = Diffusion
    variable = u
  [../]

  [./forcing]
    type = BodyForce
    variable = u
    function = interior_func
  [../]
[]

[BCs]
  [./all]
    type = FunctionDirichletBC
    variable = u
    boundary = '0 1 2 3'
    function = bc_func
  [../]
[]

[Executioner]
  type = Transient

  dt = 1
  start_time = 0
  num_steps = 10

  # These times will be sync'd in the output
[]

[Outputs]
  execute_on = 'timestep_end'
  file_base = out_tio
  time_step_interval = 3
  [./exodus]
    type = Exodus
    execute_on = 'final timestep_end'
  [../]
[]

(modules/solid_mechanics/test/tests/drucker_prager/small_deform3_inner_edge.i)

# apply repeated stretches in x z directions, and smaller stretches along the y direction,
# so that sigma_I = sigma_II,
# which means that lode angle = 30deg.
# The allows yield surface in meridional plane to be mapped out


[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]


[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
[]

[Kernels]
  [SolidMechanics]
    displacements = 'disp_x disp_y disp_z'
  [../]
[]


[BCs]
  [./x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'front back'
    function = '1E-6*x*t'
  [../]
  [./y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'front back'
    function = '-1.7E-6*y*t'
  [../]
  [./z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'front back'
    function = '1E-6*z*t'
  [../]
[]

[AuxVariables]
  [./stress_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./mc_int]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./yield_fcn]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]

[AuxKernels]
  [./stress_xx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xx
    index_i = 0
    index_j = 0
  [../]
  [./stress_xy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xy
    index_i = 0
    index_j = 1
  [../]
  [./stress_xz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xz
    index_i = 0
    index_j = 2
  [../]
  [./stress_yy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yy
    index_i = 1
    index_j = 1
  [../]
  [./stress_yz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yz
    index_i = 1
    index_j = 2
  [../]
  [./stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zz
    index_i = 2
    index_j = 2
  [../]
  [./mc_int_auxk]
    type = MaterialStdVectorAux
    index = 0
    property = plastic_internal_parameter
    variable = mc_int
  [../]
  [./yield_fcn_auxk]
    type = MaterialStdVectorAux
    index = 0
    property = plastic_yield_function
    variable = yield_fcn
  [../]
[]

[Postprocessors]
  [./s_xx]
    type = PointValue
    point = '0 0 0'
    variable = stress_xx
  [../]
  [./s_xy]
    type = PointValue
    point = '0 0 0'
    variable = stress_xy
  [../]
  [./s_xz]
    type = PointValue
    point = '0 0 0'
    variable = stress_xz
  [../]
  [./s_yy]
    type = PointValue
    point = '0 0 0'
    variable = stress_yy
  [../]
  [./s_yz]
    type = PointValue
    point = '0 0 0'
    variable = stress_yz
  [../]
  [./s_zz]
    type = PointValue
    point = '0 0 0'
    variable = stress_zz
  [../]
  [./internal]
    type = PointValue
    point = '0 0 0'
    variable = mc_int
  [../]
  [./f]
    type = PointValue
    point = '0 0 0'
    variable = yield_fcn
  [../]
[]

[UserObjects]
  [./mc_coh]
    type = SolidMechanicsHardeningConstant
    value = 10
  [../]
  [./mc_phi]
    type = SolidMechanicsHardeningConstant
    value = 35
    convert_to_radians = true
  [../]
  [./mc_psi]
    type = SolidMechanicsHardeningConstant
    value = 5
    convert_to_radians = true
  [../]
  [./mc]
    type = SolidMechanicsPlasticDruckerPragerHyperbolic
    mc_cohesion = mc_coh
    mc_friction_angle = mc_phi
    mc_dilation_angle = mc_psi
    smoother = 8
    mc_interpolation_scheme = inner_edge
    yield_function_tolerance = 1E-7
    internal_constraint_tolerance = 1E-9
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    block = 0
    fill_method = symmetric_isotropic
    C_ijkl = '0 1E7'
  [../]
  [./strain]
    type = ComputeIncrementalStrain
    block = 0
    displacements = 'disp_x disp_y disp_z'
  [../]
  [./mc]
    type = ComputeMultiPlasticityStress
    block = 0
    ep_plastic_tolerance = 1E-13
    plastic_models = mc
    debug_fspb = crash
  [../]
[]


[Executioner]
  end_time = 10
  dt = 1
  type = Transient
[]


[Outputs]
  file_base = small_deform3_inner_edge
  exodus = false
  [./csv]
    type = CSV
    [../]
[]

(modules/combined/test/tests/thermal_conductivity_temperature_function_test/thermal_conductivity_temperature_function_test.i)

#
# This test evaluates the capability of HeatConductionMaterial to define
# thermal conductivity as a function of temperature.  The test uses the patch test
# cube mesh with a flux bc on one side and a temperature bc on the opposite side.
# The temperature bc changes as a function of time from 100 to 200.  The thermal
# conductivity is a function of temperature, with k = 1 for temps = 100-199, k = 2
# for temps _>_ 200. The flux, q = 10 is constant.  The Transient Executioner is used here
# although the interial kernel is omitted, so this is really a series of two steady-state
# solutions.
#
#                         ---------------
#                        |               |
#                        |               |
#                q    -> |       k       |  T2
#                        |               |
#             T1 = ?     |               |
#                         ---------------
#                              dx = 1
#
#
#                         q = -k dT/dx
#
#                         q = -k (T1 - T2)/dx
#
#                         T1 = (q/-k)*dx + T2
#
#                         for: T2 = 100, k = 1, q = -10
#
#                         T1 = 110
#                         --------
#
#                         for: T2 = 200, k = 2, q = -10
#
#                         T1 = 205
#                         --------
#

[Mesh]#Comment
  file = fe_patch.e
[] # Mesh

[Functions]
  [./k_func]
    type = PiecewiseLinear
    x = '100 199 200'
    y = '1   1   2'
  [../]

  [./c_func]
    type = PiecewiseLinear
    x = '100    200'
    y = '0.116  0.116'
  [../]

  [./t_func]
    type = PiecewiseLinear
    x = '0   1   2'
    y = '100 100 200'
  [../]
[] # Functions

[Variables]

  [./temp]
    order = FIRST
    family = LAGRANGE
    initial_condition = 100
  [../]

[] # Variables

[Kernels]

  [./heat_r]
    type = HeatConduction
    variable = temp
  [../]


[] # Kernels

[BCs]

  [./temps_function]
    type = FunctionDirichletBC
    variable = temp
    boundary = 1000
    function = t_func
  [../]

  [./flux_in]
    type = NeumannBC
    variable = temp
    boundary = 100
    value = 10
  [../]

[] # BCs

[Materials]

  [./heat]
    type = HeatConductionMaterial
    block = 1
    temp = temp
    thermal_conductivity_temperature_function = k_func
    specific_heat_temperature_function = c_func
  [../]

  [./density]
    type = Density
    block = 1
    density = 0.283
  [../]

[] # Materials


[Executioner]

  type = Transient


  #Preconditioned JFNK (default)
  solve_type = 'PJFNK'



  petsc_options_iname = '-pc_type -ksp_gmres_restart'
  petsc_options_value = 'lu       101'


  line_search = 'none'


  l_max_its = 100
  l_tol = 8e-3

  nl_max_its = 15
  nl_rel_tol = 1e-4
  nl_abs_tol = 1e-10

  start_time = 0.0
  dt = 1
  end_time = 2
  num_steps = 2


[] # Executioner

[Outputs]
  file_base = out
  exodus = true
[] # Outputs

(test/tests/mesh/mesh_generation/annulus_sector.i)

# Generates a sector of an Annular Mesh between angle=Pi/4 and angle=3Pi/4
# Radius of inside circle=1
# Radius of outside circle=5
# Solves the diffusion equation with
# u=0 on inside
# u=log(5) on outside
# u=log(r) at angle=Pi/4 and angle=3Pi/4

[Mesh]
  type = AnnularMesh
  nr = 10
  nt = 12
  rmin = 1
  rmax = 5
  dmin = 45
  dmax = 135
  growth_r = 1.3
[]

[Variables]
  [./u]
  [../]
[]

[Kernels]
  [./diff]
    type = Diffusion
    variable = u
  [../]
[]

[BCs]
  [./inner]
    type = DirichletBC
    variable = u
    value = 0.0
    boundary = rmin
  [../]
  [./outer]
    type = FunctionDirichletBC
    variable = u
    function = log(5)
    boundary = rmax
  [../]
  [./min_angle]
    type = FunctionDirichletBC
    variable = u
    function = 'log(sqrt(x*x + y*y))'
    boundary = 'dmin dmax'
  [../]
[]

[Executioner]
  type = Steady
  solve_type = PJFNK
[]

[Outputs]
  exodus = true
[]

(test/tests/postprocessors/interface_value/interface_fe_variable_value_postprocessor.i)

postprocessor_type = InterfaceAverageVariableValuePostprocessor

[Mesh]
  [gen]
    type = GeneratedMeshGenerator
    dim = 2
    nx = 6
    xmax = 3
    ny = 9
    ymax = 3
    elem_type = QUAD4
  []
  [./subdomain_id]
    input = gen
    type = SubdomainBoundingBoxGenerator
    bottom_left = '0 0 0'
    top_right = '2 1 0'
    block_id = 1
    [../]
  [./interface]
    input = subdomain_id
    type = SideSetsBetweenSubdomainsGenerator
    primary_block = '0'
    paired_block = '1'
    new_boundary = 'interface'
  [../]
[]

[Functions]
  [./fn_exact]
    type = ParsedFunction
    expression = 'x*x+y*y'
  [../]

  [./ffn]
    type = ParsedFunction
    expression = -4
  [../]
[]

[Variables]
  [./u]
    family = LAGRANGE
    order = FIRST
  [../]
[]


[Kernels]
  [./diff]
    type = Diffusion
    variable = u
  [../]

  [./ffn]
    type = BodyForce
    variable = u
    function = ffn
  [../]
[]

[BCs]
  [./all]
    type = FunctionDirichletBC
    variable = u
    boundary = '0 1 2 3'
    function = fn_exact
  [../]
[]

[Materials]
  [./stateful1]
    type = StatefulMaterial
    block = 0
    initial_diffusivity = 5
  [../]
  [./stateful2]
    type = StatefulMaterial
    block = 1
    initial_diffusivity = 2
  [../]
[]

[AuxKernels]
  [./diffusivity_1]
    type = MaterialRealAux
    property = diffusivity
    variable = diffusivity_1
  []
  [./diffusivity_2]
    type = MaterialRealAux
    property = diffusivity
    variable = diffusivity_2
  []
[]

[AuxVariables]
  [./diffusivity_1]
    family = MONOMIAL
    order = CONSTANT
  []
  [./diffusivity_2]
    family = MONOMIAL
    order = CONSTANT
  []
[]

[Postprocessors]
  [./diffusivity_average]
    type = ${postprocessor_type}
    interface_value_type = average
    variable = diffusivity_1
    neighbor_variable = diffusivity_2
    execute_on = TIMESTEP_END
    boundary = 'interface'
  [../]
  [./diffusivity_jump_primary_secondary]
    type = ${postprocessor_type}
    interface_value_type = jump_primary_minus_secondary
    variable = diffusivity_1
    neighbor_variable = diffusivity_2
    execute_on = TIMESTEP_END
    boundary = 'interface'
  [../]
  [./diffusivity_jump_secondary_primary]
    type = ${postprocessor_type}
    interface_value_type = jump_secondary_minus_primary
    variable = diffusivity_1
    neighbor_variable = diffusivity_2
    execute_on = TIMESTEP_END
    boundary = 'interface'
  [../]
  [./diffusivity_jump_abs]
    type = ${postprocessor_type}
    interface_value_type = jump_abs
    variable = diffusivity_1
    neighbor_variable = diffusivity_2
    execute_on = TIMESTEP_END
    boundary = 'interface'
  [../]
  [./diffusivity_primary]
    type = ${postprocessor_type}
    interface_value_type = primary
    variable = diffusivity_1
    neighbor_variable = diffusivity_2
    execute_on = TIMESTEP_END
    boundary = 'interface'
  [../]
  [./diffusivity_secondary]
    type = ${postprocessor_type}
    interface_value_type = secondary
    variable = diffusivity_1
    neighbor_variable = diffusivity_2
    execute_on = TIMESTEP_END
    boundary = 'interface'
  [../]
  [./diffusivity_single_variable]
    type = ${postprocessor_type}
    interface_value_type = primary
    variable = diffusivity_1
    execute_on = TIMESTEP_END
    boundary = 'interface'
  [../]
[]

[Executioner]
  type = Steady
  solve_type = NEWTON
[]

[Outputs]
  file_base = ${raw ${postprocessor_type} _fe}
  exodus = true
[]

(modules/contact/test/tests/sliding_block/sliding/frictionless_aug.i)

#  This is a benchmark test that checks constraint based frictionless
#  contact using the augmented lagrangian method.  In this test a constant
#  displacement is applied in the horizontal direction to simulate
#  a small block come sliding down a larger block.
#
#  The gold file is run on one processor
#  and the benchmark case is run on a minimum of 4 processors to ensure no
#  parallel variability in the contact pressure and penetration results.
#

[Mesh]
  file = sliding_elastic_blocks_2d.e
  patch_size = 80
[]

[GlobalParams]
  volumetric_locking_correction = false
  displacements = 'disp_x disp_y'
[]

[AuxVariables]
  [./saved_x]
  [../]
  [./saved_y]
  [../]
  [./contact_traction]
  [../]
  [./penetration]
  [../]
  [./inc_slip_x]
  [../]
  [./inc_slip_y]
  [../]
  [./accum_slip_x]
  [../]
  [./accum_slip_y]
  [../]
[]

[Functions]
  [./vertical_movement]
    type = ParsedFunction
    expression = -t
  [../]
[]

[Physics/SolidMechanics/QuasiStatic]
  [./all]
    add_variables = true
    strain = FINITE
    save_in = 'saved_x saved_y'
    extra_vector_tags = 'ref'
  [../]
[]


[AuxKernels]
  [./zeroslip_x]
    type = ConstantAux
    variable = inc_slip_x
    boundary = 3
    execute_on = timestep_begin
    value = 0.0
  [../]
  [./zeroslip_y]
    type = ConstantAux
    variable = inc_slip_y
    boundary = 3
    execute_on = timestep_begin
    value = 0.0
  [../]
  [./accum_slip_x]
    type = AccumulateAux
    variable = accum_slip_x
    accumulate_from_variable = inc_slip_x
    execute_on = timestep_end
  [../]
  [./accum_slip_y]
    type = AccumulateAux
    variable = accum_slip_y
    accumulate_from_variable = inc_slip_y
    execute_on = timestep_end
  [../]
  [./penetration]
    type = PenetrationAux
    variable = penetration
    boundary = 3
    paired_boundary = 2
  [../]
[]

[Postprocessors]
  [./nonlinear_its]
    type = NumNonlinearIterations
    execute_on = timestep_end
  [../]
  [./penetration]
    type = NodalVariableValue
    variable = penetration
    nodeid = 222
  [../]
  [./contact_pressure]
    type = NodalVariableValue
    variable = contact_pressure
    nodeid = 222
  [../]
[]

[BCs]
  [./left_x]
    type = DirichletBC
    variable = disp_x
    boundary = 1
    value = 0.0
  [../]
  [./left_y]
    type = DirichletBC
    variable = disp_y
    boundary = 1
    value = 0.0
  [../]
  [./right_x]
    type = DirichletBC
    variable = disp_x
    boundary = 4
    value = -0.02
  [../]
  [./right_y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 4
    function = vertical_movement
  [../]
[]

[Materials]
  [./left]
    type = ComputeIsotropicElasticityTensor
    block = '1 2'
    youngs_modulus = 1e6
    poissons_ratio = 0.3
  [../]
  [./stress]
    type = ComputeFiniteStrainElasticStress
    block = '1 2'
  [../]
[]

[Executioner]
  type = Transient
  solve_type = 'PJFNK'

  petsc_options = '-snes_ksp_ew'
  petsc_options_iname = '-pc_type -pc_factor_mat_solver_type'
  petsc_options_value = 'lu     superlu_dist'

  line_search = 'none'

  l_max_its = 100
  nl_max_its = 100
  dt = 0.1
  end_time = 15
  num_steps = 200
  l_tol = 1e-6
  nl_rel_tol = 1e-7
  nl_abs_tol = 1e-6
  dtmin = 0.01

  [./Predictor]
    type = SimplePredictor
    scale = 1.0
  [../]
[]

[Outputs]
  time_step_interval = 10
  [./out]
    type = Exodus
    elemental_as_nodal = true
  [../]
  [./console]
    type = Console
    max_rows = 5
  [../]
[]

[Problem]
  type = AugmentedLagrangianContactProblem
  solution_variables = 'disp_x disp_y'
  extra_tag_vectors = 'ref'
  reference_vector = 'ref'
  maximum_lagrangian_update_iterations = 25
[]

[Preconditioning]
  [./SMP]
    type = SMP
    full = true
  [../]
[]

[Contact]
  [./leftright]
    secondary = 3
    primary = 2
    model = frictionless
    penalty = 1e+7
    normalize_penalty = true
    formulation = augmented_lagrange
    tangential_tolerance = 1e-3
    normal_smoothing_distance = 0.1
    al_penetration_tolerance = 1e-9
  [../]
[]

(modules/solid_mechanics/test/tests/capped_drucker_prager/small_deform3_native.i)

# apply repeated stretches in x z directions, and smaller stretches along the y direction,
# so that sigma_I = sigma_II,
# which means that lode angle = 30deg.
# The allows yield surface in meridional plane to be mapped out

[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]

[Physics/SolidMechanics/QuasiStatic]
  [./all]
    add_variables = true
    incremental = true
    generate_output = 'stress_xx stress_xy stress_xz stress_yy stress_yz stress_zz'
  [../]
[]

[BCs]
  [./x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'front back'
    function = '1E-6*x*t'
  [../]
  [./y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'front back'
    function = '-1.35E-6*y*t'
  [../]
  [./z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'front back'
    function = '1E-6*z*t'
  [../]
[]

[AuxVariables]
  [./mc_int]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./yield_fcn]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]

[AuxKernels]
  [./mc_int_auxk]
    type = MaterialStdVectorAux
    index = 0
    property = plastic_internal_parameter
    variable = mc_int
  [../]
  [./yield_fcn_auxk]
    type = MaterialStdVectorAux
    index = 0
    property = plastic_yield_function
    variable = yield_fcn
  [../]
[]

[Postprocessors]
  [./s_xx]
    type = PointValue
    point = '0 0 0'
    variable = stress_xx
  [../]
  [./s_xy]
    type = PointValue
    point = '0 0 0'
    variable = stress_xy
  [../]
  [./s_xz]
    type = PointValue
    point = '0 0 0'
    variable = stress_xz
  [../]
  [./s_yy]
    type = PointValue
    point = '0 0 0'
    variable = stress_yy
  [../]
  [./s_yz]
    type = PointValue
    point = '0 0 0'
    variable = stress_yz
  [../]
  [./s_zz]
    type = PointValue
    point = '0 0 0'
    variable = stress_zz
  [../]
  [./internal]
    type = PointValue
    point = '0 0 0'
    variable = mc_int
  [../]
  [./f]
    type = PointValue
    point = '0 0 0'
    variable = yield_fcn
  [../]
[]

[UserObjects]
  [./ts]
    type = SolidMechanicsHardeningConstant
    value = 1E5
  [../]
  [./cs]
    type = SolidMechanicsHardeningConstant
    value = 1E5
  [../]
  [./mc_coh]
    type = SolidMechanicsHardeningConstant
    value = 10
  [../]
  [./mc_phi]
    type = SolidMechanicsHardeningConstant
    value = 35
    convert_to_radians = true
  [../]
  [./mc_psi]
    type = SolidMechanicsHardeningConstant
    value = 5
    convert_to_radians = true
  [../]
  [./dp]
    type = SolidMechanicsPlasticDruckerPrager
    mc_cohesion = mc_coh
    mc_friction_angle = mc_phi
    mc_dilation_angle = mc_psi
    mc_interpolation_scheme = native
    yield_function_tolerance = 1      # irrelevant here
    internal_constraint_tolerance = 1 # irrelevant here
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    block = 0
    fill_method = symmetric_isotropic
    C_ijkl = '0 1E7'
  [../]
  [./admissible]
    type = ComputeMultipleInelasticStress
    inelastic_models = mc
    perform_finite_strain_rotations = false
  [../]
  [./mc]
    type = CappedDruckerPragerStressUpdate
    DP_model = dp
    tensile_strength = ts
    compressive_strength = cs
    yield_function_tol = 1E-8
    tip_smoother = 8
    smoothing_tol = 1E-7
  [../]
[]


[Executioner]
  end_time = 10
  dt = 1
  type = Transient
[]


[Outputs]
  file_base = small_deform3_native
  exodus = false
  [./csv]
    type = CSV
  [../]
[]

(modules/xfem/test/tests/moving_interface/verification/2D_rz_lsdep1mat.i)

# ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ #
# XFEM Moving Interface Verification Problem
# Dimensionality:                                         2D
# Coordinate System:                                      rz
# Material Numbers/Types: level set dep 1 material, 2 region
# Element Order:                                         1st
# Interface Characteristics: u independent, prescribed level set function
# Description:
#   Transient 2D heat transfer problem in cylindrical coordinates designed with
#   the Method of Manufactured Solutions. This problem was developed to verify
#   XFEM performance on linear elements in the presence of a moving interface
#   sweeping across the x-y coordinates of a system with thermal conductivity
#   dependent upon the transient level set function. This problem can be
#   exactly evaluated by FEM/Moose without the moving interface. Both the
#   temperature and level set function are designed to be linear to attempt to
#   minimize the error between the Moose/exact solution and XFEM results.
# Results:
#   The temperature at the bottom left boundary (x=1, y=1) exhibits the largest
#   difference between the FEM/Moose solution and XFEM results. We present the
#   XFEM results at this location with 10 digits of precision:
#     Time   Expected Temperature   XFEM Calculated Temperature
#      0.2                 440        440
#      0.4                 480        479.9998717
#      0.6                 520        519.9994963
#      0.8                 560        559.9989217
#      1.0                 600        599.9986735
# ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ #

[GlobalParams]
  order = FIRST
  family = LAGRANGE
[]

[Problem]
  coord_type = RZ
[]

[Mesh]
  type = GeneratedMesh
  dim = 2
  nx = 4
  ny = 4
  xmin = 1.0
  xmax = 2.0
  ymin = 1.0
  ymax = 2.0
  elem_type = QUAD4
[]

[XFEM]
  qrule = moment_fitting
  output_cut_plane = true
[]

[UserObjects]
  [./level_set_cut_uo]
    type = LevelSetCutUserObject
    level_set_var = ls
    heal_always = true
  [../]
[]

[Variables]
  [./u]
  [../]
[]

[AuxVariables]
  [./ls]
    order = FIRST
    family = LAGRANGE
    [../]
[]

[Kernels]
  [./heat_cond]
    type = MatDiffusion
    variable = u
    diffusivity = diffusion_coefficient
  [../]
  [./vol_heat_src]
    type = BodyForce
    variable = u
    function = src_func
  [../]
  [./mat_time_deriv]
    type = TestMatTimeDerivative
    variable = u
    mat_prop_value = rhoCp
  [../]
[]

[AuxKernels]
  [./ls_function]
    type = FunctionAux
    variable = ls
    function = ls_func
  [../]
[]

[Constraints]
  [./xfem_constraint]
    type = XFEMSingleVariableConstraint
    variable = u
    geometric_cut_userobject = 'level_set_cut_uo'
    use_penalty = true
    alpha = 1e5
  [../]
[]

[Functions]
  [./src_func]
    type = ParsedFunction
    expression = '10*(-100*x-100*y+400) + t*(-2.5*y/(2.04*x) + 155/x - t/(2.04*x)
            - 7.5/2.04)'
  [../]
  [./neumann_func]
    type = ParsedFunction
    expression = '((0.01/2.04)*(-2.5*x-2.5*y-t)+1.55)*100*t'
  [../]
  [./dirichlet_right_func]
    type = ParsedFunction
    expression = '(-100*y+200)*t+400'
  [../]
  [./dirichlet_top_func]
    type = ParsedFunction
    expression = '(-100*x+200)*t+400'
  [../]
  [./k_func]
    type = ParsedFunction
    expression = '(0.01/2.04)*(-2.5*x-2.5*y-t) + 1.55'
  [../]
  [./ls_func]
    type = ParsedFunction
    expression = '-0.5*(x+y) + 2.04 -0.2*t'
  [../]
[]

[Materials]
  [./mat_time_deriv_prop]
    type = GenericConstantMaterial
    prop_names = 'rhoCp'
    prop_values = 10
  [../]
  [./therm_cond_prop]
    type = GenericFunctionMaterial
    prop_names = 'diffusion_coefficient'
    prop_values = 'k_func'
  [../]
[]

[BCs]
  [./left_du]
    type = FunctionNeumannBC
    variable = u
    boundary = 'left'
    function = neumann_func
  [../]
  [./right_u]
    type = FunctionDirichletBC
    variable = u
    boundary = 'right'
    function = dirichlet_right_func
  [../]
  [./bottom_du]
    type = FunctionNeumannBC
    variable = u
    boundary = 'bottom'
    function = neumann_func
  [../]
  [./top_u]
    type = FunctionDirichletBC
    variable = u
    boundary = 'top'
    function = dirichlet_top_func
  [../]
[]

[ICs]
  [./u_ic]
    type = ConstantIC
    value = 400
    variable = u
  [../]
[]

[Executioner]
  type = Transient
  solve_type = 'PJFNK'
  line_search = 'none'

  l_tol = 1.0e-6
  nl_max_its = 15
  nl_rel_tol = 1.0e-10
  nl_abs_tol = 1.0e-9

  start_time = 0.0
  dt = 0.2
  end_time = 1.0
  max_xfem_update = 1
[]

[Outputs]
  time_step_interval = 1
  execute_on = 'initial timestep_end'
  exodus = true
  [./console]
    type = Console
    output_linear = true
  [../]
[]

(modules/solid_mechanics/test/tests/uel/small_test.i)

[Mesh]
  [gen]
    type = GeneratedMeshGenerator
    dim = 2
    nx = 20
    ny = 10
    xmax = 10
    ymax = 3
    elem_type = TRI3
  []
  [pin]
    type = ExtraNodesetGenerator
    nodes = 106
    new_boundary = pin
    input = gen
  []
  displacements = 'disp_x disp_y'
[]

[Variables]
  [disp_x]
  []
  [disp_y]
  []
[]

[BCs]
  [left_x]
    type = DirichletBC
    variable = disp_x
    boundary = left
    value = 0
  []
  [left_y]
    type = DirichletBC
    variable = disp_y
    boundary = pin
    value = 0
  []

  inactive = 'right_dirichlet'
  [right_neumann]
    type = FunctionNeumannBC
    variable = disp_x
    function = t
    boundary = right
  []
  [right_dirichlet]
    type = FunctionDirichletBC
    variable = disp_x
    function = t/10
    boundary = right
  []
[]

[UserObjects]
  [uel]
    type = AbaqusUserElement
    variables = 'disp_x disp_y'
    plugin = ../../../examples/uel_tri_tests/uel
    use_displaced_mesh = false
    num_state_vars = 6
    constant_properties = '100 0.3' # E nu
    extra_vector_tags = 'kernel_residual'
  []
[]

[Problem]
  kernel_coverage_check = false
  extra_tag_vectors = 'kernel_residual'
[]

[AuxVariables]
  [res_x]
  []
  [res_y]
  []
[]

[AuxKernels]
  [res_x]
    type = TagVectorAux
    variable = res_x
    v = disp_x
    vector_tag = kernel_residual
  []
  [res_y]
    type = TagVectorAux
    variable = res_y
    v = disp_y
    vector_tag = kernel_residual
  []
[]

[Executioner]
  type = Transient
  solve_type = NEWTON
  petsc_options_iname = '-pc_type'
  petsc_options_value = 'lu'
  dt = 1
  num_steps = 15
[]

[Postprocessors]
  [delta_l]
    type = SideAverageValue
    variable = disp_x
    boundary = right
    execute_on = 'INITIAL TIMESTEP_END'
  []
  [V]
    type = ElementIntegralMaterialProperty
    mat_prop = 1
    use_displaced_mesh = true
    execute_on = 'INITIAL TIMESTEP_END'
  []
[]

[Outputs]
  exodus = true
  csv = true
[]

(modules/solid_mechanics/test/tests/central_difference/lumped/2D/2d_lumped_explicit.i)

# Tests for the central difference time integrator for 2D elements

[Mesh]
  [./generated_mesh]
    type = GeneratedMeshGenerator
    dim = 2
    xmin = 0
    xmax = 1
    ymin = 0
    ymax = 2
    nx = 1
    ny = 2
  [../]
[]

[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
[]

[AuxVariables]
  [./accel_x]
  [../]
  [./vel_x]
  [../]
  [./accel_y]
  [../]
  [./vel_y]
  [../]
[]

[AuxKernels]
  [./accel_x]
    type = TestNewmarkTI
    variable = accel_x
    displacement = disp_x
    first = false
  [../]
  [./vel_x]
    type = TestNewmarkTI
    variable = vel_x
    displacement = disp_x
  [../]
  [./accel_y]
    type = TestNewmarkTI
    variable = accel_y
    displacement = disp_y
    first = false
  [../]
  [./vel_y]
    type = TestNewmarkTI
    variable = vel_y
    displacement = disp_y
  [../]
[]

[Kernels]
  [./DynamicSolidMechanics]
    displacements = 'disp_x disp_y'
  [../]
  [./inertia_x]
    type = InertialForce
    variable = disp_x
  [../]
  [./inertia_y]
    type = InertialForce
    variable = disp_y
  [../]
[]

[BCs]
  [./y_bot]
    type = DirichletBC
    variable = disp_y
    boundary = bottom
    value = 0.0
  [../]
  [./x_bot]
    type = FunctionDirichletBC
    boundary = bottom
    variable = disp_x
    function = disp
    preset = false
  [../]
[]

[Functions]
  [./disp]
    type = PiecewiseLinear
    x = '0.0 1.0 2.0 3.0 4.0' # time
    y = '0.0 1.0 0.0 -1.0 0.0'  # displacement
  [../]
[]

[Materials]
  [./elasticity_tensor_block]
    type = ComputeIsotropicElasticityTensor
    youngs_modulus = 1e6
    poissons_ratio = 0.25
    block = 0
  [../]
  [./strain_block]
    type = ComputeIncrementalStrain
    block = 0
    displacements = 'disp_x disp_y'
    implicit = false
  [../]
  [./stress_block]
    type = ComputeFiniteStrainElasticStress
    block = 0
  [../]
  [./density]
    type = GenericConstantMaterial
    block = 0
    prop_names = density
    prop_values = 1e4
  [../]
[]

[Executioner]
  type = Transient
  start_time = 0
  end_time = 0.1
  dt = 0.005
  timestep_tolerance = 1e-6
  [./TimeIntegrator]
    type = CentralDifference
    solve_type = lumped
  [../]
[]

[Postprocessors]
  [./accel_2x]
    type = PointValue
    point = '1.0 2.0 0.0'
    variable = accel_x
  [../]
[]

[Outputs]
  exodus = false
  csv = true
[]

(modules/solid_mechanics/test/tests/crystal_plasticity/monolithic_material_based/crysp_save_euler.i)

[Mesh]
  type = GeneratedMesh
  dim = 2
  elem_type = QUAD4
  displacements = 'disp_x disp_y'
  nx = 2
  ny = 2
[]

[Variables]
  [./disp_x]
    block = 0
  [../]
  [./disp_y]
    block = 0
  [../]
[]

[GlobalParams]
  volumetric_locking_correction = true
[]

[AuxVariables]
  [./stress_yy]
    order = CONSTANT
    family = MONOMIAL
    block = 0
  [../]
  [./e_yy]
    order = CONSTANT
    family = MONOMIAL
    block = 0
  [../]
  [./fp_yy]
    order = CONSTANT
    family = MONOMIAL
    block = 0
  [../]
  [./rotout]
    order = CONSTANT
    family = MONOMIAL
    block = 0
  [../]
  [./gss1]
    order = CONSTANT
    family = MONOMIAL
    block = 0
  [../]
  [./euler1]
    order = CONSTANT
    family = MONOMIAL
    block = 0
  [../]
  [./euler2]
    order = CONSTANT
    family = MONOMIAL
    block = 0
  [../]
  [./euler3]
    order = CONSTANT
    family = MONOMIAL
    block = 0
  [../]
[]

[Functions]
  [./tdisp]
    type = ParsedFunction
    expression = 0.01*t
  [../]
[]

[UserObjects]
  [./prop_read]
    type = PropertyReadFile
    prop_file_name = 'euler_ang_file.txt'
    # Enter file data as prop#1, prop#2, .., prop#nprop
    nprop = 3
    read_type = element
  [../]
[]

[AuxKernels]
  [./stress_yy]
    type = RankTwoAux
    variable = stress_yy
    rank_two_tensor = stress
    index_j = 1
    index_i = 1
    execute_on = timestep_end
    block = 0
  [../]
  [./e_yy]
    type = RankTwoAux
    variable = e_yy
    rank_two_tensor = lage
    index_j = 1
    index_i = 1
    execute_on = timestep_end
    block = 0
  [../]
  [./fp_yy]
    type = RankTwoAux
    variable = fp_yy
    rank_two_tensor = fp
    index_j = 1
    index_i = 1
    execute_on = timestep_end
    block = 0
  [../]
  [./gss1]
    type = MaterialStdVectorAux
    variable = gss1
    property = gss
    index = 0
    execute_on = timestep_end
    block = 0
  [../]
  [./euler1]
    type = MaterialRealVectorValueAux
    variable = euler1
    property = Euler_angles
    component = 0
    execute_on = timestep_end
    block = 0
  [../]
  [./euler2]
    type = MaterialRealVectorValueAux
    variable = euler2
    property = Euler_angles
    component = 1
    execute_on = timestep_end
    block = 0
  [../]
  [./euler3]
    type = MaterialRealVectorValueAux
    variable = euler3
    property = Euler_angles
    component = 2
    execute_on = timestep_end
    block = 0
  [../]
[]

[BCs]
  [./fix_x]
    type = DirichletBC
    variable = disp_x
    boundary = 'left'
    value = 0
  [../]
  [./fix_y]
    type = DirichletBC
    variable = disp_y
    boundary = 'bottom'
    value = 0
  [../]
  [./tdisp]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = top
    function = tdisp
  [../]
[]

[Materials]
  [./crysp]
    type = FiniteStrainCrystalPlasticity
    block = 0
    gtol = 1e-2
    slip_sys_file_name = input_slip_sys.txt
    nss = 12
    num_slip_sys_flowrate_props = 2 #Number of properties in a slip system
    flowprops = '1 4 0.001 0.1 5 8 0.001 0.1 9 12 0.001 0.1'
    hprops = '1.0 541.5 60.8 109.8 2.5'
    gprops = '1 4 60.8 5 8 60.8 9 12 60.8'
    tan_mod_type = exact
  [../]
  [./strain]
    type = ComputeFiniteStrain
    block = 0
    displacements = 'disp_x disp_y'
  [../]
  [./elasticity_tensor]
    type = ComputeElasticityTensorCP
    block = 0
    C_ijkl = '1.684e5 1.214e5 1.214e5 1.684e5 1.214e5 1.684e5 0.754e5 0.754e5 0.754e5'
    fill_method = symmetric9
    read_prop_user_object = prop_read
  [../]
[]

[Postprocessors]
  [./stress_yy]
    type = ElementAverageValue
    variable = stress_yy
    block = 'ANY_BLOCK_ID 0'
  [../]
  [./e_yy]
    type = ElementAverageValue
    variable = e_yy
    block = 'ANY_BLOCK_ID 0'
  [../]
  [./fp_yy]
    type = ElementAverageValue
    variable = fp_yy
    block = 'ANY_BLOCK_ID 0'
  [../]
  [./gss1]
    type = ElementAverageValue
    variable = gss1
    block = 'ANY_BLOCK_ID 0'
  [../]
[]

[Preconditioning]
  [./smp]
    type = SMP
    full = true
  [../]
[]

[Executioner]
  type = Transient

  #Preconditioned JFNK (default)
  solve_type = 'PJFNK'

  petsc_options_iname = '-pc_type'
  petsc_options_value = 'lu'

  nl_rel_tol = 1e-10
  nl_abs_tol = 1e-10

  dt = 0.01
  dtmax = 10.0
  dtmin = 0.01

  num_steps = 10
[]

[Outputs]
  file_base = crysp_save_euler_out
  exodus = true
[]

[Kernels]
  [SolidMechanics]
    displacements = 'disp_x disp_y'
    use_displaced_mesh = true
  [../]
[]

(modules/solid_mechanics/test/tests/crystal_plasticity/stress_update_material_based/update_method_011orientation.i)

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]

[Mesh]
  type = GeneratedMesh
  dim = 3
  elem_type = HEX8
[]

[AuxVariables]
  [pk2]
    order = CONSTANT
    family = MONOMIAL
  []
  [fp_zz]
    order = CONSTANT
    family = MONOMIAL
  []
  [lagrangian_strain_yy]
    order = CONSTANT
    family = MONOMIAL
  []
  [lagrangian_strain_zz]
    order = CONSTANT
    family = MONOMIAL
  []
  [gss]
    order = CONSTANT
    family = MONOMIAL
  []
  [slip_increment]
   order = CONSTANT
   family = MONOMIAL
  []
[]

[Physics/SolidMechanics/QuasiStatic/all]
  strain = FINITE
  add_variables = true
  generate_output = stress_zz
[]

[AuxKernels]
  [pk2]
   type = RankTwoAux
   variable = pk2
   rank_two_tensor = second_piola_kirchhoff_stress
   index_j = 2
   index_i = 2
   execute_on = timestep_end
  []
  [fp_zz]
    type = RankTwoAux
    variable = fp_zz
    rank_two_tensor = plastic_deformation_gradient
    index_j = 2
    index_i = 2
    execute_on = timestep_end
  []
  [lagrangian_strain_zz]
    type = RankTwoAux
    variable = lagrangian_strain_zz
    rank_two_tensor = total_lagrangian_strain
    index_j = 2
    index_i = 2
    execute_on = timestep_end
  []
  [lagrangian_strain_yy]
    type = RankTwoAux
    rank_two_tensor = total_lagrangian_strain
    variable = lagrangian_strain_yy
    index_i = 1
    index_j = 1
    execute_on = timestep_end
  []
  [gss]
   type = MaterialStdVectorAux
   variable = gss
   property = slip_resistance
   index = 0
   execute_on = timestep_end
  []
  [slip_inc]
   type = MaterialStdVectorAux
   variable = slip_increment
   property = slip_increment
   index = 0
   execute_on = timestep_end
  []
[]

[BCs]
  [symmy]
    type = DirichletBC
    variable = disp_y
    boundary = bottom
    value = 0
  []
  [symmx]
    type = DirichletBC
    variable = disp_x
    boundary = left
    value = 0
  []
  [symmz]
    type = DirichletBC
    variable = disp_z
    boundary = back
    value = 0
  []
  [tdisp]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = front
    function = '0.01*t'
  []
[]

[Materials]
  [elasticity_tensor]
    type = ComputeElasticityTensorCP
    C_ijkl = '1.684e5 1.214e5 1.214e5 1.684e5 1.214e5 1.684e5 0.754e5 0.754e5 0.754e5'
    fill_method = symmetric9
    euler_angle_1 = 120.0
    euler_angle_2 = 125.264
    euler_angle_3 =  45.0
  []
  [stress]
    type = ComputeMultipleCrystalPlasticityStress
    crystal_plasticity_models = 'trial_xtalpl'
    tan_mod_type = exact
  []
  [trial_xtalpl]
    type = CrystalPlasticityKalidindiUpdate
    number_slip_systems = 12
    slip_sys_file_name = input_slip_sys.txt
  []
[]

[Postprocessors]
  [stress_zz]
    type = ElementAverageValue
    variable = stress_zz
  []
  [pk2]
   type = ElementAverageValue
   variable = pk2
  []
  [fp_zz]
    type = ElementAverageValue
    variable = fp_zz
  []
  [lagrangian_strain_yy]
    type = ElementAverageValue
    variable = lagrangian_strain_yy
  []
  [lagrangian_strain_zz]
    type = ElementAverageValue
    variable = lagrangian_strain_zz
  []
  [gss]
    type = ElementAverageValue
    variable = gss
  []
  [slip_increment]
   type = ElementAverageValue
   variable = slip_increment
  []
[]

[Preconditioning]
  [smp]
    type = SMP
    full = true
  []
[]

[Executioner]
  type = Transient
  solve_type = 'PJFNK'

  petsc_options_iname = '-pc_type -pc_asm_overlap -sub_pc_type -ksp_type -ksp_gmres_restart'
  petsc_options_value = ' asm      2              lu            gmres     200'
  nl_abs_tol = 1e-10
  nl_rel_tol = 1e-10
  nl_abs_step_tol = 1e-10

  dt = 0.05
  dtmin = 0.01
  dtmax = 10.0
  num_steps = 10
[]

[Outputs]
  csv = true
[]

(modules/solid_mechanics/test/tests/lagrangian/cartesian/total/convergence-auto/2D/dirichlet.i)

# Simple 2D plane strain test

[GlobalParams]
  displacements = 'disp_x disp_y'
  large_kinematics = true
  stabilize_strain = true
[]

[Variables]
  [disp_x]
  []
  [disp_y]
  []
[]

[Mesh]
  [msh]
    type = GeneratedMeshGenerator
    dim = 2
    nx = 4
    ny = 4
  []
[]

[ICs]
  [disp_x]
    type = RandomIC
    variable = disp_x
    min = -0.01
    max = 0.01
  []
  [disp_y]
    type = RandomIC
    variable = disp_y
    min = -0.01
    max = 0.01
  []
[]

[Kernels]
  [sdx]
    type = TotalLagrangianStressDivergence
    variable = disp_x
    component = 0
  []
  [sdy]
    type = TotalLagrangianStressDivergence
    variable = disp_y
    component = 1
  []
[]

[Functions]
  [pullx]
    type = ParsedFunction
    expression = '0.5 * t'
  []
  [pully]
    type = ParsedFunction
    expression = '-0.3 * t'
  []
[]

[BCs]
  [leftx]
    type = DirichletBC
    preset = true
    boundary = left
    variable = disp_x
    value = 0.0
  []
  [lefty]
    type = DirichletBC
    preset = true
    boundary = left
    variable = disp_y
    value = 0.0
  []
  [pull_x]
    type = FunctionDirichletBC
    boundary = right
    variable = disp_x
    function = pullx
    preset = true
  []
  [pull_y]
    type = FunctionDirichletBC
    boundary = top
    variable = disp_y
    function = pully
    preset = true
  []
[]

[Materials]
  [elastic_tensor]
    type = ComputeIsotropicElasticityTensor
    youngs_modulus = 100000.0
    poissons_ratio = 0.3
  []
  [compute_stress]
    type = ComputeLagrangianLinearElasticStress
  []
  [compute_strain]
    type = ComputeLagrangianStrain
  []
[]

[Preconditioning]
  [smp]
    type = SMP
    full = true
  []
[]

[Executioner]
  type = Transient

  solve_type = 'newton'
  line_search = none

  petsc_options_iname = '-pc_type'
  petsc_options_value = 'lu'

  l_max_its = 2
  l_tol = 1e-14
  nl_max_its = 15
  nl_rel_tol = 1e-10
  nl_abs_tol = 1e-12

  start_time = 0.0
  dt = 0.2
  dtmin = 0.2
  end_time = 0.2
[]

(modules/solid_mechanics/test/tests/strain_energy_density/incr_model_elas_plas.i)

# Single element test to check the strain energy density calculation

[GlobalParams]
  displacements = 'disp_x disp_y'
  volumetric_locking_correction = true
[]

[Mesh]
  type = GeneratedMesh
  dim = 2
  nx = 1
  ny = 1
  xmin = 0
  xmax = 1
  ymin = 0
  ymax = 2
[]

[AuxVariables]
  [./SED]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]

[Functions]
  [./rampConstantUp]
    type = PiecewiseLinear
    x = '0. 1.'
    y = '0. 1.'
    scale_factor = -100
  [../]
  [./ramp_disp_y]
    type = PiecewiseLinear
    x = '0. 1. 2.'
    y = '0. 6.8e-6 1.36e-5'
  [../]
[]

[Physics/SolidMechanics/QuasiStatic]
  [./master]
    strain = SMALL
    add_variables = true
    incremental = true
    generate_output = 'stress_xx stress_yy stress_zz vonmises_stress elastic_strain_xx elastic_strain_yy elastic_strain_zz plastic_strain_xx plastic_strain_yy plastic_strain_zz strain_xx strain_yy strain_zz'
    planar_formulation = PLANE_STRAIN
  [../]
[]

[AuxKernels]
  [./SED]
    type = MaterialRealAux
    variable = SED
    property = strain_energy_density
    execute_on = timestep_end
  [../]
[]

[BCs]
  [./no_x]
    type = DirichletBC
    variable = disp_x
    preset = false
    boundary = 'left'
    value = 0.0
  [../]
  [./no_y]
    type = DirichletBC
    variable = disp_y
    preset = false
    boundary = 'bottom'
    value = 0.0
  [../]
  [./top_disp]
    type = FunctionDirichletBC
    variable = disp_y
    preset = false
    boundary = 'top'
    function = ramp_disp_y
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeIsotropicElasticityTensor
    youngs_modulus = 30e+6
    poissons_ratio = 0.3
  [../]
  [./elastic_stress]
    type = ComputeMultipleInelasticStress
    inelastic_models = 'isoplas'
  [../]
  [./isoplas]
    type = IsotropicPlasticityStressUpdate
    yield_stress = 1e2
    hardening_constant = 0.0
  [../]
  [./strain_energy_density]
    type = StrainEnergyDensity
    incremental = true
  [../]
[]

[Executioner]
   type = Transient

  petsc_options_iname = '-ksp_gmres_restart -pc_type -pc_hypre_type -pc_hypre_boomeramg_max_iter'
  petsc_options_value = '201                hypre    boomeramg      4'

  line_search = 'none'

   l_max_its = 50
   nl_max_its = 20
   nl_abs_tol = 3e-7
   nl_rel_tol = 1e-12
   l_tol = 1e-2

   start_time = 0.0
   dt = 1

   end_time = 2
   num_steps = 2
[]

[Postprocessors]
  [./epxx]
    type = ElementalVariableValue
    variable = elastic_strain_xx
    elementid = 0
  [../]
  [./epyy]
    type = ElementalVariableValue
    variable = elastic_strain_yy
    elementid = 0
  [../]
  [./epzz]
    type = ElementalVariableValue
    variable = elastic_strain_zz
    elementid = 0
  [../]
  [./eplxx]
    type = ElementalVariableValue
    variable = plastic_strain_xx
    elementid = 0
  [../]
  [./eplyy]
    type = ElementalVariableValue
    variable = plastic_strain_yy
    elementid = 0
  [../]
  [./eplzz]
    type = ElementalVariableValue
    variable = plastic_strain_zz
    elementid = 0
  [../]
  [./etxx]
    type = ElementalVariableValue
    variable = strain_xx
    elementid = 0
  [../]
  [./etyy]
    type = ElementalVariableValue
    variable = strain_yy
    elementid = 0
  [../]
  [./etzz]
    type = ElementalVariableValue
    variable = strain_zz
    elementid = 0
  [../]
  [./sigxx]
    type = ElementAverageValue
    variable = stress_xx
  [../]
  [./sigyy]
    type = ElementAverageValue
    variable = stress_yy
  [../]
  [./sigzz]
    type = ElementAverageValue
    variable = stress_zz
  [../]
  [./SED]
    type = ElementAverageValue
    variable = SED
  [../]
[]

[Outputs]
  csv = true
[]

(modules/solid_mechanics/test/tests/crystal_plasticity/stress_update_material_based/substep.i)

[GlobalParams]
  displacements = 'ux uy uz'
[]

[Mesh]
  type = GeneratedMesh
  dim = 3
  elem_type = HEX8
[]

[AuxVariables]
  [fp_zz]
    order = CONSTANT
    family = MONOMIAL
  []
  [e_zz]
    order = CONSTANT
    family = MONOMIAL
  []
  [gss]
    order = CONSTANT
    family = MONOMIAL
  []
[]

[Physics/SolidMechanics/QuasiStatic/all]
  strain = FINITE
  add_variables = true
  generate_output = stress_zz
[]

[AuxKernels]
  [fp_zz]
    type = RankTwoAux
    variable = fp_zz
    rank_two_tensor = plastic_deformation_gradient
    index_j = 2
    index_i = 2
    execute_on = timestep_end
  []
  [e_zz]
    type = RankTwoAux
    variable = e_zz
    rank_two_tensor = total_lagrangian_strain
    index_j = 2
    index_i = 2
    execute_on = timestep_end
  []
  [gss]
    type = MaterialStdVectorAux
    variable = gss
    property = slip_resistance
    index = 0
    execute_on = timestep_end
  []
[]

[BCs]
  [symmy]
    type = DirichletBC
    variable = uy
    boundary = bottom
    value = 0
  []
  [symmx]
    type = DirichletBC
    variable = ux
    boundary = left
    value = 0
  []
  [symmz]
    type = DirichletBC
    variable = uz
    boundary = back
    value = 0
  []
  [tdisp]
    type = FunctionDirichletBC
    variable = uz
    boundary = front
    function = 0.01*t
  []
[]

[Materials]
  [elasticity_tensor]
    type = ComputeElasticityTensorCP
    C_ijkl = '1.684e5 1.214e5 1.214e5 1.684e5 1.214e5 1.684e5 0.754e5 0.754e5 0.754e5'
    fill_method = symmetric9
  []
  [stress]
    type = ComputeMultipleCrystalPlasticityStress
    crystal_plasticity_models = 'trial_xtalpl'
    tan_mod_type = exact
    maximum_substep_iteration = 10
  []
  [trial_xtalpl]
    type = CrystalPlasticityKalidindiUpdate
    number_slip_systems = 12
    slip_sys_file_name = input_slip_sys.txt
    resistance_tol = 1.0e-2
  []
[]

[Postprocessors]
  [stress_zz]
    type = ElementAverageValue
    variable = stress_zz
  []
  [fp_zz]
    type = ElementAverageValue
    variable = fp_zz
  []
  [e_zz]
    type = ElementAverageValue
    variable = e_zz
  []
  [gss]
    type = ElementAverageValue
    variable = gss
  []
[]

[Preconditioning]
  [smp]
    type = SMP
    full = true
  []
[]

[Executioner]
  type = Transient
  dt = 2.0
  solve_type = 'PJFNK'

  petsc_options_iname = '-pc_type -pc_asm_overlap -sub_pc_type -ksp_type -ksp_gmres_restart'
  petsc_options_value = ' asm      2              lu            gmres     200'
  nl_abs_tol = 1e-10
  nl_rel_step_tol = 1e-10
  dtmax = 10.0
  nl_rel_tol = 1e-10
  dtmin = 0.5
  num_steps = 10
  nl_abs_step_tol = 1e-10
[]

[Outputs]
  exodus = true
  csv = true
  gnuplot = true
[]

(modules/solid_mechanics/test/tests/capped_mohr_coulomb/small_deform19.i)

# Using CappedMohrCoulomb with compressive failure only
# A single unit element is stretched in a complicated way
# that the trial stress is
#
#  -1.2 -2.0 -0.8
#  -2.0  4.4   0
#  -0.8   0   2.8
#
# This has eigenvalues
# la = {-1.963, 2.89478, 5.06822}
# and eigenvectors
# {0.94197, 0.296077, 0.158214}
# {-0.116245, -0.154456, 0.981137},
# {-0.314929, 0.942593, 0.111075},
#
# The compressive strength is 0.5 and Young=1 and Poisson=0.25.
# The return-map algorithm should return to stress_min = -0.5
# This is an increment of 1.463, so stress_mid and stress_max
# should both increase by 1.463 v/(1-v) = 0.488, giving
# stress_mid = 3.382
# stress_max = 5.556
#
# E_22 = E(1-v)/(1+v)/(1-2v)=1.2 and E_02 = E_22 v/(1-v)
# gamma_shear = ((smax-smin)^trial - (smax-smin)) / (E_22 - E_02)
# = ((2v-1)/(1-v)) * (smin^trial - smin) / (E_22(1 - 2v)/(1-v))
# = -(smin^trial - smin) / E_22
# Using psi = 30deg, sin(psi) = 1/2
# the shear correction to the tensile internal parameter is
# gamma_shear (E_22 + E_20) sin(psi) = gamma_shear E_22 sin(psi) / (1 - v)
# = -(smin^trial - smin) / (1 - v) / 2
# Then the tensile internal parameter is
# (1 - v) * (reduction_of_(max+min)_principal - gamma_shear * E_22 / (1-v) / 2) / E_22
# = -1.829
#
# The final stress is
#
# {0.15, -1.7, -0.65},
# {-1.7, 4.97, 0.046},
# {-0.65, 0.046, 3.3}

[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]

[Physics/SolidMechanics/QuasiStatic]
  [./all]
    add_variables = true
    incremental = true
    generate_output = 'max_principal_stress mid_principal_stress min_principal_stress stress_xx stress_xy stress_xz stress_yy stress_yz stress_zz'
  [../]
[]

[BCs]
  [./x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'front back'
    function = '-(3*x+2*y+z)'
  [../]
  [./y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'front back'
    function = '-(3*x-4*y)'
  [../]
  [./z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'front back'
    function = '-(x-2*z)'
  [../]
[]

[AuxVariables]
  [./f0]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f1]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f2]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./iter]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./intnl]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]

[AuxKernels]
  [./f0_auxk]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 0
    variable = f0
  [../]
  [./f1_auxk]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 1
    variable = f1
  [../]
  [./f2_auxk]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 2
    variable = f2
  [../]
  [./iter]
    type = MaterialRealAux
    property = plastic_NR_iterations
    variable = iter
  [../]
  [./intnl_auxk]
    type = MaterialStdVectorAux
    property = plastic_internal_parameter
    index = 1
    variable = intnl
  [../]
[]

[Postprocessors]
  [./s_I]
    type = PointValue
    point = '0 0 0'
    variable = max_principal_stress
  [../]
  [./s_II]
    type = PointValue
    point = '0 0 0'
    variable = mid_principal_stress
  [../]
  [./s_III]
    type = PointValue
    point = '0 0 0'
    variable = min_principal_stress
  [../]
  [./s_xx]
    type = PointValue
    point = '0 0 0'
    variable = stress_xx
  [../]
  [./s_xy]
    type = PointValue
    point = '0 0 0'
    variable = stress_xy
  [../]
  [./s_xz]
    type = PointValue
    point = '0 0 0'
    variable = stress_xz
  [../]
  [./s_yy]
    type = PointValue
    point = '0 0 0'
    variable = stress_yy
  [../]
  [./s_yz]
    type = PointValue
    point = '0 0 0'
    variable = stress_yz
  [../]
  [./s_zz]
    type = PointValue
    point = '0 0 0'
    variable = stress_zz
  [../]
  [./f0]
    type = PointValue
    point = '0 0 0'
    variable = f0
  [../]
  [./f1]
    type = PointValue
    point = '0 0 0'
    variable = f1
  [../]
  [./f2]
    type = PointValue
    point = '0 0 0'
    variable = f2
  [../]
  [./iter]
    type = PointValue
    point = '0 0 0'
    variable = iter
  [../]
  [./intnl]
    type = PointValue
    point = '0 0 0'
    variable = intnl
  [../]
[]

[UserObjects]
  [./ts]
    type = SolidMechanicsHardeningConstant
    value = 1E6
  [../]
  [./cs]
    type = SolidMechanicsHardeningConstant
    value = 0.5
  [../]
  [./coh]
    type = SolidMechanicsHardeningConstant
    value = 1E6
  [../]
  [./ang]
    type = SolidMechanicsHardeningConstant
    value = 30
    convert_to_radians = true
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeIsotropicElasticityTensor
    youngs_modulus = 1
    poissons_ratio = 0.25
  [../]
  [./tensile]
    type = CappedMohrCoulombStressUpdate
    tensile_strength = ts
    compressive_strength = cs
    cohesion = coh
    friction_angle = ang
    dilation_angle = ang
    smoothing_tol = 0.001
    yield_function_tol = 1.0E-12
  [../]
  [./stress]
    type = ComputeMultipleInelasticStress
    inelastic_models = tensile
    perform_finite_strain_rotations = false
  [../]
[]


[Executioner]
  end_time = 1
  dt = 1
  type = Transient
[]


[Outputs]
  file_base = small_deform19
  csv = true
[]

(modules/contact/test/tests/mortar_tm/2drz/frictionless_second/small.i)

E_block = 1e7
E_plank = 1e7
elem = QUAD9
order = SECOND
name = 'small'

[Problem]
  coord_type = RZ
[]

[Mesh]
  patch_size = 80
  patch_update_strategy = auto
  [plank]
    type = GeneratedMeshGenerator
    dim = 2
    xmin = 0
    xmax = 0.6
    ymin = 0
    ymax = 10
    nx = 2
    ny = 33
    elem_type = ${elem}
    boundary_name_prefix = plank
  []
  [plank_id]
    type = SubdomainIDGenerator
    input = plank
    subdomain_id = 1
  []

  [block]
    type = GeneratedMeshGenerator
    dim = 2
    xmin = 0.61
    xmax = 1.21
    ymin = 9.2
    ymax = 10.0
    nx = 3
    ny = 4
    elem_type = ${elem}
    boundary_name_prefix = block
    boundary_id_offset = 10
  []
  [block_id]
    type = SubdomainIDGenerator
    input = block
    subdomain_id = 2
  []

  [combined]
    type = MeshCollectionGenerator
    inputs = 'plank_id block_id'
  []
  [block_rename]
    type = RenameBlockGenerator
    input = combined
    old_block = '1 2'
    new_block = 'plank block'
  []
[]

[GlobalParams]
  displacements = 'disp_x disp_y'
[]

[Variables]
  [disp_x]
    order = ${order}
    block = 'plank block'
    scaling = '${fparse 2.0 / (E_plank + E_block)}'
  []
  [disp_y]
    order = ${order}
    block = 'plank block'
    scaling = '${fparse 2.0 / (E_plank + E_block)}'
  []
[]

[Physics/SolidMechanics/QuasiStatic]
  [block]
    generate_output = 'stress_xx stress_yy stress_zz vonmises_stress hydrostatic_stress strain_xx '
                      'strain_yy strain_zz'
    block = 'block'
  []
  [plank]
    generate_output = 'stress_xx stress_yy stress_zz vonmises_stress hydrostatic_stress strain_xx '
                      'strain_yy strain_zz'
    block = 'plank'
    eigenstrain_names = 'swell'
  []
[]

[Contact]
  [frictionless]
    primary = plank_right
    secondary = block_left
    formulation = mortar
    c_normal = 1e0
  []
[]

[BCs]
  [left_x]
    type = DirichletBC
    variable = disp_x
    boundary = plank_left
    value = 0.0
  []
  [left_y]
    type = DirichletBC
    variable = disp_y
    boundary = plank_bottom
    value = 0.0
  []
  [right_x]
    type = DirichletBC
    variable = disp_x
    boundary = block_right
    value = 0
  []
  [right_y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = block_right
    function = '-t'
  []
[]

[Materials]
  [plank]
    type = ComputeIsotropicElasticityTensor
    block = 'plank'
    poissons_ratio = 0.3
    youngs_modulus = ${E_plank}
  []
  [block]
    type = ComputeIsotropicElasticityTensor
    block = 'block'
    poissons_ratio = 0.3
    youngs_modulus = ${E_block}
  []
  [stress]
    type = ComputeLinearElasticStress
    block = 'plank block'
  []
  [swell]
    type = ComputeEigenstrain
    block = 'plank'
    eigenstrain_name = swell
    eigen_base = '1 0 0 0 0 0 0 0 0'
    prefactor = swell_mat
  []
  [swell_mat]
    type = GenericFunctionMaterial
    prop_names = 'swell_mat'
    prop_values = '7e-2*(1-cos(4*t))'
    block = 'plank'
  []
[]

[Preconditioning]
  [smp]
    type = SMP
    full = true
  []
[]

[Executioner]
  type = Transient
  solve_type = 'PJFNK'
  petsc_options = '-snes_converged_reason -ksp_converged_reason'
  petsc_options_iname = '-pc_type -mat_mffd_err -pc_factor_shift_type -pc_factor_shift_amount'
  petsc_options_value = 'lu       1e-5          NONZERO               1e-15'
  end_time = 3
  dt = 0.1
  dtmin = 0.1
  timestep_tolerance = 1e-6
  line_search = 'contact'
[]

[Postprocessors]
  [nl_its]
    type = NumNonlinearIterations
  []
  [total_nl_its]
    type = CumulativeValuePostprocessor
    postprocessor = nl_its
  []
  [l_its]
    type = NumLinearIterations
  []
  [total_l_its]
    type = CumulativeValuePostprocessor
    postprocessor = l_its
  []
  [contact]
    type = ContactDOFSetSize
    variable = frictionless_normal_lm
    subdomain = frictionless_secondary_subdomain
  []
  [avg_hydro]
    type = ElementAverageValue
    variable = hydrostatic_stress
    block = 'block'
  []
  [max_hydro]
    type = ElementExtremeValue
    variable = hydrostatic_stress
    block = 'block'
  []
  [min_hydro]
    type = ElementExtremeValue
    variable = hydrostatic_stress
    block = 'block'
    value_type = min
  []
  [avg_vonmises]
    type = ElementAverageValue
    variable = vonmises_stress
    block = 'block'
  []
  [max_vonmises]
    type = ElementExtremeValue
    variable = vonmises_stress
    block = 'block'
  []
  [min_vonmises]
    type = ElementExtremeValue
    variable = vonmises_stress
    block = 'block'
    value_type = min
  []
[]

[Outputs]
  file_base = ${name}
  [comp]
    type = CSV
    show = 'contact'
  []
  [out]
    type = CSV
    file_base = '${name}_out'
  []
[]

[Debug]
  show_var_residual_norms = true
[]

(modules/solid_mechanics/test/tests/mohr_coulomb/planar_hard5.i)

# apply repeated stretches in z direction, and smaller stretches along the y direction, and compression along x direction
# Both return to the plane and edge (lode angle = 30deg, ie 010100) are experienced.
#
# It is checked that the yield functions are less than their tolerance values
# It is checked that the cohesion hardens correctly

[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]


[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
[]

[Kernels]
  [SolidMechanics]
    displacements = 'disp_x disp_y disp_z'
  [../]
[]


[BCs]
  [./x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'front back'
    function = '-1E-6*x*t'
  [../]
  [./y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'front back'
    function = '0.05E-6*y*t'
  [../]
  [./z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'front back'
    function = '1E-6*z*t'
  [../]
[]

[Functions]
  [./should_be_zero_fcn]
    type = ParsedFunction
    expression = 'if((a<1E-5)&(b<1E-5)&(c<1E-5)&(d<1E-5)&(g<1E-5)&(h<1E-5),0,abs(a)+abs(b)+abs(c)+abs(d)+abs(g)+abs(h))'
    symbol_names = 'a b c d g h'
    symbol_values = 'f0 f1 f2 f3 f4 f5'
  [../]
  [./coh_analytic]
    type = ParsedFunction
    expression = '20-10*exp(-1E6*intnl)'
    symbol_names = intnl
    symbol_values = internal
  [../]
  [./coh_from_yieldfcns]
    type = ParsedFunction
    expression = '(f0+f1-(sxx+syy)*sin(phi))/(-2)/cos(phi)'
    symbol_names = 'f0 f1 sxx syy phi'
    symbol_values = 'f0 f1 s_xx s_yy 0.8726646'
  [../]
  [./should_be_zero_coh]
    type = ParsedFunction
    expression = 'if(abs(a-b)<1E-6,0,1E6*abs(a-b))'
    symbol_names = 'a b'
    symbol_values = 'Coh_analytic Coh_moose'
  [../]
[]

[AuxVariables]
  [./stress_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./mc_int]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./yield_fcn0]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./yield_fcn1]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./yield_fcn2]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./yield_fcn3]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./yield_fcn4]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./yield_fcn5]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]

[AuxKernels]
  [./stress_xx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xx
    index_i = 0
    index_j = 0
  [../]
  [./stress_xy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xy
    index_i = 0
    index_j = 1
  [../]
  [./stress_xz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xz
    index_i = 0
    index_j = 2
  [../]
  [./stress_yy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yy
    index_i = 1
    index_j = 1
  [../]
  [./stress_yz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yz
    index_i = 1
    index_j = 2
  [../]
  [./stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zz
    index_i = 2
    index_j = 2
  [../]
  [./mc_int_auxk]
    type = MaterialStdVectorAux
    index = 0
    property = plastic_internal_parameter
    variable = mc_int
  [../]
  [./yield_fcn0]
    type = MaterialStdVectorAux
    index = 0
    property = plastic_yield_function
    variable = yield_fcn0
  [../]
  [./yield_fcn1]
    type = MaterialStdVectorAux
    index = 1
    property = plastic_yield_function
    variable = yield_fcn1
  [../]
  [./yield_fcn2]
    type = MaterialStdVectorAux
    index = 2
    property = plastic_yield_function
    variable = yield_fcn2
  [../]
  [./yield_fcn3]
    type = MaterialStdVectorAux
    index = 3
    property = plastic_yield_function
    variable = yield_fcn3
  [../]
  [./yield_fcn4]
    type = MaterialStdVectorAux
    index = 4
    property = plastic_yield_function
    variable = yield_fcn4
  [../]
  [./yield_fcn5]
    type = MaterialStdVectorAux
    index = 5
    property = plastic_yield_function
    variable = yield_fcn5
  [../]
[]

[Postprocessors]
  [./s_xx]
    type = PointValue
    point = '0 0 0'
    variable = stress_xx
  [../]
  [./s_xy]
    type = PointValue
    point = '0 0 0'
    variable = stress_xy
  [../]
  [./s_xz]
    type = PointValue
    point = '0 0 0'
    variable = stress_xz
  [../]
  [./s_yy]
    type = PointValue
    point = '0 0 0'
    variable = stress_yy
  [../]
  [./s_yz]
    type = PointValue
    point = '0 0 0'
    variable = stress_yz
  [../]
  [./s_zz]
    type = PointValue
    point = '0 0 0'
    variable = stress_zz
  [../]
  [./internal]
    type = PointValue
    point = '0 0 0'
    variable = mc_int
  [../]
  [./f0]
    type = PointValue
    point = '0 0 0'
    variable = yield_fcn0
  [../]
  [./f1]
    type = PointValue
    point = '0 0 0'
    variable = yield_fcn1
  [../]
  [./f2]
    type = PointValue
    point = '0 0 0'
    variable = yield_fcn2
  [../]
  [./f3]
    type = PointValue
    point = '0 0 0'
    variable = yield_fcn3
  [../]
  [./f4]
    type = PointValue
    point = '0 0 0'
    variable = yield_fcn4
  [../]
  [./f5]
   type = PointValue
    point = '0 0 0'
    variable = yield_fcn5
  [../]
  [./yfcns_should_be_zero]
    type = FunctionValuePostprocessor
    function = should_be_zero_fcn
  [../]
  [./Coh_analytic]
    type = FunctionValuePostprocessor
    function = coh_analytic
  [../]
  [./Coh_moose]
    type = FunctionValuePostprocessor
    function = coh_from_yieldfcns
  [../]
  [./cohesion_difference_should_be_zero]
    type = FunctionValuePostprocessor
    function = should_be_zero_coh
  [../]
[]

[UserObjects]
  [./mc_coh]
    type = SolidMechanicsHardeningExponential
    value_0 = 10
    value_residual = 20
    rate = 1E6
  [../]
  [./mc_phi]
    type = SolidMechanicsHardeningConstant
    value = 0.8726646
  [../]
  [./mc_psi]
    type = SolidMechanicsHardeningConstant
    value = 1 #0.8726646 # 50deg
  [../]
  [./mc]
    type = SolidMechanicsPlasticMohrCoulombMulti
    cohesion = mc_coh
    friction_angle = mc_phi
    dilation_angle = mc_psi
    use_custom_returnMap = true
    yield_function_tolerance = 1E-5
    internal_constraint_tolerance = 1E-9
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    block = 0
    fill_method = symmetric_isotropic
    C_ijkl = '0 1E7'
  [../]
  [./strain]
    type = ComputeFiniteStrain
    block = 0
    displacements = 'disp_x disp_y disp_z'
  [../]
  [./mc]
    type = ComputeMultiPlasticityStress
    block = 0
    ep_plastic_tolerance = 1E-12
    plastic_models = mc
  [../]
[]


[Executioner]
  end_time = 5
  dt = 1
  type = Transient
[]


[Outputs]
  file_base = planar_hard5
  exodus = false
  [./csv]
    type = CSV
    hide = 'f0 f1 f2 f3 f4 f5 s_xy s_xz s_yz Coh_analytic Coh_moose'
    execute_on = 'timestep_end'
  [../]
[]

(modules/solid_mechanics/test/tests/static_deformations/beam_cosserat_02_apply_stress.i)

# Beam bending.
# One end is clamped and the other end is subjected to a stress
# and micromechanical moment that will induce bending.
# The stress that will induce bending around the y axis is
# stress_xx = EAz
# This implies a micromechanical moment-stress of
# m_yx = (1/12)EAh^2 for joint_shear_stiffness=0.
# For joint_shear_stiffness!=0, the micromechanical moment-stress
# is
# m_yx = (1/12)EAa^2 G/(ak_s + G)
# All other stresses and moment stresses are assumed to be zero.
# With joint_shear_stiffness=0, and introducing D=-poisson*A, the
# nonzero strains are
# ep_xx = Az
# ep_yy = Dz
# ep_zz = Dz
# kappa_xy = -D
# kappa_yx = A
# This means the displacements are:
# u_x = Axz
# u_y = Dzy
# u_z = -(A/2)x^2 + (D/2)(z^2-y^2)
# wc_x = -Dy
# wc_y = Ax
# wc_z = 0
# This is bending of a bar around the y axis, in plane stress
# (stress_yy=0).  Displacements at the left-hand (x=0) are applied
# according to the above formulae; wc_x and wc_y are applied throughout
# the bar; and stress_xx is applied at the right-hand end (x=10).
# The displacements are measured and
# compared with the above formulae.
# The test uses: E=1.2, poisson=0.3, A=1.11E-2, h=2, ks=0.1, so
# stress_xx = 1.332E-2*z
# m_yx = 0.2379E-2
[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 10
  ny = 1
  nz = 10
  xmin = 0
  xmax = 10
  ymin = -1
  ymax = 1
  zmin = -0.5
  zmax = 0.5
[]

[GlobalParams]
  #use_displaced_mesh = false
  displacements = 'disp_x disp_y disp_z'
  Cosserat_rotations = 'wc_x wc_y wc_z'
[]

[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
  [./wc_x]
  [../]
  [./wc_y]
  [../]
[]

[Kernels]
  [./cx_elastic]
    type = CosseratStressDivergenceTensors
    variable = disp_x
    component = 0
  [../]
  [./cy_elastic]
    type = CosseratStressDivergenceTensors
    variable = disp_y
    component = 1
  [../]
  [./cz_elastic]
    type = CosseratStressDivergenceTensors
    variable = disp_z
    component = 2
  [../]
  [./x_couple]
    type = StressDivergenceTensors
    variable = wc_x
    displacements = 'wc_x wc_y wc_z'
    component = 0
    base_name = couple
  [../]
  [./y_couple]
    type = StressDivergenceTensors
    variable = wc_y
    displacements = 'wc_x wc_y wc_z'
    component = 1
    base_name = couple
  [../]
  [./x_moment]
    type = MomentBalancing
    variable = wc_x
    component = 0
  [../]
  [./y_moment]
    type = MomentBalancing
    variable = wc_y
    component = 1
  [../]
[]

[BCs]
  # zmin is called back
  # zmax is called front
  # ymin is called bottom
  # ymax is called top
  # xmin is called left
  # xmax is called right
  [./clamp_z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = left
    function = '-0.3*(z*z-y*y)/2.0*1.11E-2'
  [../]
  [./clamp_y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = left
    function = '-0.3*z*y*1.11E-2'
  [../]
  [./clamp_x]
    type = DirichletBC
    variable = disp_x
    boundary = left
    value = 0.0
  [../]
  [./end_stress]
    type = FunctionNeumannBC
    boundary = right
    function = z*1.2*1.11E-2
    variable = disp_x
  [../]
  [./fix_wc_x]
    type = FunctionDirichletBC
    variable = wc_x
    boundary = 'left' # right top bottom front back'
    function = '0.3*y*1.11E-2'
  [../]
  [./fix_wc_y]
    type = FunctionDirichletBC
    variable = wc_y
    boundary = 'left' # right top bottom front back'
    function = '1.11E-2*x'
  [../]
  [./end_moment]
    type = VectorNeumannBC
    boundary = right
    variable = wc_y
    vector_value = '2.3785714286E-3 0 0'
  [../]
[]


[AuxVariables]
  [./wc_z]
  [../]
  [./strain_xx]
    family = MONOMIAL
    order = CONSTANT
  [../]
  [./strain_xy]
    family = MONOMIAL
    order = CONSTANT
  [../]
  [./strain_xz]
    family = MONOMIAL
    order = CONSTANT
  [../]
  [./strain_yx]
    family = MONOMIAL
    order = CONSTANT
  [../]
  [./strain_yy]
    family = MONOMIAL
    order = CONSTANT
  [../]
  [./strain_yz]
    family = MONOMIAL
    order = CONSTANT
  [../]
  [./strain_zx]
    family = MONOMIAL
    order = CONSTANT
  [../]
  [./strain_zy]
    family = MONOMIAL
    order = CONSTANT
  [../]
  [./strain_zz]
    family = MONOMIAL
    order = CONSTANT
  [../]
  [./stress_xx]
    family = MONOMIAL
    order = CONSTANT
  [../]
  [./stress_xy]
    family = MONOMIAL
    order = CONSTANT
  [../]
  [./stress_xz]
    family = MONOMIAL
    order = CONSTANT
  [../]
  [./stress_yx]
    family = MONOMIAL
    order = CONSTANT
  [../]
  [./stress_yy]
    family = MONOMIAL
    order = CONSTANT
  [../]
  [./stress_yz]
    family = MONOMIAL
    order = CONSTANT
  [../]
  [./stress_zx]
    family = MONOMIAL
    order = CONSTANT
  [../]
  [./stress_zy]
    family = MONOMIAL
    order = CONSTANT
  [../]
  [./stress_zz]
    family = MONOMIAL
    order = CONSTANT
  [../]
  [./couple_stress_xx]
    family = MONOMIAL
    order = CONSTANT
  [../]
  [./couple_stress_xy]
    family = MONOMIAL
    order = CONSTANT
  [../]
  [./couple_stress_xz]
    family = MONOMIAL
    order = CONSTANT
  [../]
  [./couple_stress_yx]
    family = MONOMIAL
    order = CONSTANT
  [../]
  [./couple_stress_yy]
    family = MONOMIAL
    order = CONSTANT
  [../]
  [./couple_stress_yz]
    family = MONOMIAL
    order = CONSTANT
  [../]
  [./couple_stress_zx]
    family = MONOMIAL
    order = CONSTANT
  [../]
  [./couple_stress_zy]
    family = MONOMIAL
    order = CONSTANT
  [../]
  [./couple_stress_zz]
    family = MONOMIAL
    order = CONSTANT
  [../]
[]

[AuxKernels]
  [./strain_xx]
    type = RankTwoAux
    rank_two_tensor = total_strain
    variable = strain_xx
    index_i = 0
    index_j = 0
  [../]
  [./strain_xy]
    type = RankTwoAux
    rank_two_tensor = total_strain
    variable = strain_xy
    index_i = 0
    index_j = 1
  [../]
  [./strain_xz]
    type = RankTwoAux
    rank_two_tensor = total_strain
    variable = strain_xz
    index_i = 0
    index_j = 2
  [../]
  [./strain_yx]
    type = RankTwoAux
    rank_two_tensor = total_strain
    variable = strain_yx
    index_i = 1
    index_j = 0
  [../]
  [./strain_yy]
    type = RankTwoAux
    rank_two_tensor = total_strain
    variable = strain_yy
    index_i = 1
    index_j = 1
  [../]
  [./strain_yz]
    type = RankTwoAux
    rank_two_tensor = total_strain
    variable = strain_yz
    index_i = 1
    index_j = 2
  [../]
  [./strain_zx]
    type = RankTwoAux
    rank_two_tensor = total_strain
    variable = strain_zx
    index_i = 2
    index_j = 0
  [../]
  [./strain_zy]
    type = RankTwoAux
    rank_two_tensor = total_strain
    variable = strain_zy
    index_i = 2
    index_j = 1
  [../]
  [./strain_zz]
    type = RankTwoAux
    rank_two_tensor = total_strain
    variable = strain_zz
    index_i = 2
    index_j = 2
  [../]
  [./stress_xx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xx
    index_i = 0
    index_j = 0
  [../]
  [./stress_xy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xy
    index_i = 0
    index_j = 1
  [../]
  [./stress_xz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xz
    index_i = 0
    index_j = 2
  [../]
  [./stress_yx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yx
    index_i = 1
    index_j = 0
  [../]
  [./stress_yy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yy
    index_i = 1
    index_j = 1
  [../]
  [./stress_yz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yz
    index_i = 1
    index_j = 2
  [../]
  [./stress_zx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zx
    index_i = 2
    index_j = 0
  [../]
  [./stress_zy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zy
    index_i = 2
    index_j = 1
  [../]
  [./stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zz
    index_i = 2
    index_j = 2
  [../]
  [./couple_stress_xx]
    type = RankTwoAux
    rank_two_tensor = couple_stress
    variable = couple_stress_xx
    index_i = 0
    index_j = 0
  [../]
  [./couple_stress_xy]
    type = RankTwoAux
    rank_two_tensor = couple_stress
    variable = couple_stress_xy
    index_i = 0
    index_j = 1
  [../]
  [./couple_stress_xz]
    type = RankTwoAux
    rank_two_tensor = couple_stress
    variable = couple_stress_xz
    index_i = 0
    index_j = 2
  [../]
  [./couple_stress_yx]
    type = RankTwoAux
    rank_two_tensor = couple_stress
    variable = couple_stress_yx
    index_i = 1
    index_j = 0
  [../]
  [./couple_stress_yy]
    type = RankTwoAux
    rank_two_tensor = couple_stress
    variable = couple_stress_yy
    index_i = 1
    index_j = 1
  [../]
  [./couple_stress_yz]
    type = RankTwoAux
    rank_two_tensor = couple_stress
    variable = couple_stress_yz
    index_i = 1
    index_j = 2
  [../]
  [./couple_stress_zx]
    type = RankTwoAux
    rank_two_tensor = couple_stress
    variable = couple_stress_zx
    index_i = 2
    index_j = 0
  [../]
  [./couple_stress_zy]
    type = RankTwoAux
    rank_two_tensor = couple_stress
    variable = couple_stress_zy
    index_i = 2
    index_j = 1
  [../]
  [./couple_stress_zz]
    type = RankTwoAux
    rank_two_tensor = couple_stress
    variable = couple_stress_zz
    index_i = 2
    index_j = 2
  [../]
[]

[VectorPostprocessors]
  [./soln]
    type = LineValueSampler
    warn_discontinuous_face_values = false
    sort_by = x
    variable = 'disp_x disp_y disp_z stress_xx stress_xy stress_xz stress_yx stress_yy stress_yz stress_zx stress_zy stress_zz wc_x wc_y wc_z couple_stress_xx couple_stress_xy couple_stress_xz couple_stress_yx couple_stress_yy couple_stress_yz couple_stress_zx couple_stress_zy couple_stress_zz'
    start_point = '0 0 0.5'
    end_point = '10 0 0.5'
    num_points = 11
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeLayeredCosseratElasticityTensor
    young = 1.2
    poisson = 0.3
    layer_thickness = 2.0
    joint_normal_stiffness = 1E16
    joint_shear_stiffness = 0.1
  [../]
  [./strain]
    type = ComputeCosseratSmallStrain
  [../]
  [./stress]
    type = ComputeCosseratLinearElasticStress
  [../]
[]

[Preconditioning]
  [./andy]
    type = SMP
    full = true
    petsc_options_iname = '-ksp_type -pc_type -sub_pc_type -snes_atol -snes_rtol -snes_max_it -ksp_atol -ksp_rtol -ksp_max_it -sub_pc_factor_shift_type -pc_asm_overlap -ksp_gmres_restart'
    petsc_options_value = 'gmres asm lu 1E-11 1E-11 10 1E-15 1E-10 100 NONZERO 2 100'
  [../]
[]

[Executioner]
  type = Transient
  solve_type = Newton
  num_steps = 1
[]

[Outputs]
  execute_on = 'timestep_end'
  file_base = beam_cosserat_02_apply_stress
  exodus = true
  csv = true
[]

(modules/fluid_properties/test/tests/calorically_imperfect_gas/test.i)

[Mesh]
  type = GeneratedMesh
  dim = 2
  nx = 2
  ny = 2
  elem_type = QUAD4
[]

[Functions]
  [f_fn]
    type = ParsedFunction
    expression = -4
  []
  [bc_fn]
    type = ParsedFunction
    expression = 'x*x+y*y'
  []

  [e_fn]
    type = PiecewiseLinear
    x = '100   280 300 350 400 450 500 550 600 700 800 900 1000 1200 1400 1600 1800 2000 2200 2400 2600 2800 3000 5000'
    y = '783.9 2742.3 2958.6 3489.2 4012.7 4533.3 5053.8 5574 6095.1 7140.2 8192.9 9256.3 10333.6 12543.9 14836.6 17216.3 19688.4 22273.7 25018.3 28042.3 31544.2 35818.1 41256.5 100756.5'
    scale_factor = 1e3
  []

  [mu_fn]
    type = PiecewiseLinear
    x = '100   280 300 350 400 450 500 550 600 700 800 900 1000 1200 1400 1600 1800 2000 2200 2400 2600 2800 3000 5000'
    y = '85.42 85.42 89.53 99.44 108.9 117.98 126.73 135.2 143.43 159.25 174.36 188.9 202.96 229.88 255.5 280.05 303.67 326.45 344.97 366.49 387.87 409.48 431.86 431.86'
    scale_factor = 1e-7
  []

  [k_fn]
    type = PiecewiseLinear
    x = '100 280 300 350 400 450 500 550 600 700 800 900 1000 1200 1400 1600 1800 2000 2200 2400 2600 2800 3000 5000'
    y = '186.82 186.82 194.11 212.69 231.55 250.38 268.95 287.19 305.11 340.24 374.92 409.66 444.75 511.13 583.42 656.44 733.32 826.53 961.15 1180.38 1546.31 2135.49 3028.08 3028.08'
    scale_factor = 1e-3
  []
[]

[Variables]
  [u]
  []
[]

[AuxVariables]
  [e]
    initial_condition = 4012.7e3
  []
  [v]
    initial_condition = 0.0007354064593540647
  []

  [p]
    family = MONOMIAL
    order = CONSTANT
  []
  [T]
    family = MONOMIAL
    order = CONSTANT
  []
  [cp]
    family = MONOMIAL
    order = CONSTANT
  []
  [cv]
    family = MONOMIAL
    order = CONSTANT
  []
  [c]
    family = MONOMIAL
    order = CONSTANT
  []
  [mu]
    family = MONOMIAL
    order = CONSTANT
  []
  [k]
    family = MONOMIAL
    order = CONSTANT
  []
  [g]
    family = MONOMIAL
    order = CONSTANT
  []
[]

[AuxKernels]
  [p]
    type = MaterialRealAux
     variable = p
     property = pressure
  []
  [T]
    type = MaterialRealAux
     variable = T
     property = temperature
  []
  [cp]
    type = MaterialRealAux
     variable = cp
     property = cp
  []
  [cv]
    type = MaterialRealAux
     variable = cv
     property = cv
  []
  [c]
    type = MaterialRealAux
     variable = c
     property = c
  []
  [mu]
    type = MaterialRealAux
     variable = mu
     property = mu
  []
  [k]
    type = MaterialRealAux
     variable = k
     property = k
  []
  [g]
    type = MaterialRealAux
     variable = g
     property = g
  []
[]

[FluidProperties]
  [h2]
    type = CaloricallyImperfectGas
    molar_mass = 0.002
    e = e_fn
    k = k_fn
    mu = mu_fn
    min_temperature = 100
    max_temperature = 5000
  []
[]

[Materials]
  [fp_mat]
    type = FluidPropertiesMaterialVE
    e = e
    v = v
    fp = h2
  []
[]

[Kernels]
  [diff]
    type = Diffusion
    variable = u
  []
  [ffn]
    type = BodyForce
    variable = u
    function = f_fn
  []
[]

[BCs]
  [all]
    type = FunctionDirichletBC
    variable = u
    boundary = 'left right top bottom'
    function = bc_fn
  []
[]

[Executioner]
  type = Steady
  solve_type = NEWTON
[]

[Outputs]
  exodus = true
[]

(modules/solid_mechanics/test/tests/drucker_prager/small_deform2_outer_tip.i)

# apply repeated stretches in x, y and z directions, so that mean_stress = 0
# This maps out the yield surface in the octahedral plane for zero mean stress

[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]


[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
[]

[Kernels]
  [SolidMechanics]
    displacements = 'disp_x disp_y disp_z'
  [../]
[]


[BCs]
  [./x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'front back'
    function = '-1.5E-6*x+2E-6*x*sin(t)'
  [../]
  [./y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'front back'
    function = '2E-6*y*sin(2*t)'
  [../]
  [./z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'front back'
    function = '-2E-6*z*(sin(t)+sin(2*t))'
  [../]
[]

[AuxVariables]
  [./stress_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./yield_fcn]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]

[AuxKernels]
  [./stress_xx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xx
    index_i = 0
    index_j = 0
  [../]
  [./stress_xy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xy
    index_i = 0
    index_j = 1
  [../]
  [./stress_xz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xz
    index_i = 0
    index_j = 2
  [../]
  [./stress_yy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yy
    index_i = 1
    index_j = 1
  [../]
  [./stress_yz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yz
    index_i = 1
    index_j = 2
  [../]
  [./stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zz
    index_i = 2
    index_j = 2
  [../]
  [./yield_fcn_auxk]
    type = MaterialStdVectorAux
    index = 0
    property = plastic_yield_function
    variable = yield_fcn
  [../]
[]

[Postprocessors]
  [./s_xx]
    type = PointValue
    point = '0 0 0'
    variable = stress_xx
  [../]
  [./s_xy]
    type = PointValue
    point = '0 0 0'
    variable = stress_xy
  [../]
  [./s_xz]
    type = PointValue
    point = '0 0 0'
    variable = stress_xz
  [../]
  [./s_yy]
    type = PointValue
    point = '0 0 0'
    variable = stress_yy
  [../]
  [./s_yz]
    type = PointValue
    point = '0 0 0'
    variable = stress_yz
  [../]
  [./s_zz]
    type = PointValue
    point = '0 0 0'
    variable = stress_zz
  [../]
  [./f]
    type = PointValue
    point = '0 0 0'
    variable = yield_fcn
  [../]
  [./f0]
    type = PointValue
    point = '0 0 0'
    variable = yield_fcn
  [../]
  [./f1]
    type = PointValue
    point = '0 0 0'
    variable = yield_fcn
  [../]
[]

[UserObjects]
  [./mc_coh]
    type = SolidMechanicsHardeningConstant
    value = 10
  [../]
  [./mc_phi]
    type = SolidMechanicsHardeningConstant
    value = 20
    convert_to_radians = true
  [../]
  [./mc_psi]
    type = SolidMechanicsHardeningConstant
    value = 0
  [../]
  [./mc]
    type = SolidMechanicsPlasticDruckerPragerHyperbolic
    mc_cohesion = mc_coh
    mc_friction_angle = mc_phi
    mc_dilation_angle = mc_psi
    smoother = 4
    mc_interpolation_scheme = outer_tip
    yield_function_tolerance = 1E-5
    internal_constraint_tolerance = 1E-11
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    block = 0
    fill_method = symmetric_isotropic
    C_ijkl = '0 1E7'
  [../]
  [./strain]
    type = ComputeIncrementalStrain
    block = 0
    displacements = 'disp_x disp_y disp_z'
  [../]
  [./mc]
    type = ComputeMultiPlasticityStress
    block = 0
    ep_plastic_tolerance = 1E-12
    plastic_models = mc
    debug_fspb = crash
  [../]
[]


[Executioner]
  end_time = 100
  dt = 1
  type = Transient
[]


[Outputs]
  file_base = small_deform2_outer_tip
  exodus = false
  [./csv]
    type = CSV
    [../]
[]

(modules/solid_mechanics/test/tests/tensile/small_deform1.i)

# checking for small deformation
# A single element is stretched by 1E-6m in z direction, and by small amounts in x and y directions
# stress_zz = Youngs Modulus*Strain = 2E6*1E-6 = 2 Pa
# tensile_strength is set to 1Pa
# Then the final stress should return to the yeild surface and the maximum principal stress value should be 1pa.

[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]


[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]

[Physics/SolidMechanics/QuasiStatic]
  [./all]
    add_variables = true
    incremental = true
    strain = finite
    generate_output = 'stress_xx stress_xy stress_xz stress_yy stress_yz stress_zz'
  [../]
[]

[BCs]
  [./x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'front back'
    function = '0.1E-6*x'
  [../]
  [./y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'front back'
    function = '0.2E-6*y'
  [../]
  [./z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'front back'
    function = '1E-6*z'
  [../]
[]

[AuxVariables]
  [./yield_fcn]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]

[AuxKernels]
  [./yield_fcn_auxk]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 0
    variable = yield_fcn
  [../]
[]

[Postprocessors]
  [./s_xx]
    type = PointValue
    point = '0 0 0'
    variable = stress_xx
  [../]
  [./s_xy]
    type = PointValue
    point = '0 0 0'
    variable = stress_xy
  [../]
  [./s_xz]
    type = PointValue
    point = '0 0 0'
    variable = stress_xz
  [../]
  [./s_yy]
    type = PointValue
    point = '0 0 0'
    variable = stress_yy
  [../]
  [./s_yz]
    type = PointValue
    point = '0 0 0'
    variable = stress_yz
  [../]
  [./s_zz]
    type = PointValue
    point = '0 0 0'
    variable = stress_zz
  [../]
  [./f]
    type = PointValue
    point = '0 0 0'
    variable = yield_fcn
  [../]
[]

[UserObjects]
  [./ts]
    type = SolidMechanicsHardeningConstant
    value = 1
  [../]
  [./mc]
    type = SolidMechanicsPlasticTensile
    tensile_strength = ts
    yield_function_tolerance = 1E-6
    tensile_tip_smoother = 0.0
    internal_constraint_tolerance = 1E-5
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    block = 0
    fill_method = symmetric_isotropic
    C_ijkl = '0 2.0E6'
  [../]
  [./mc]
    type = ComputeMultiPlasticityStress
    block = 0
    ep_plastic_tolerance = 1E-5
    plastic_models = mc
    debug_fspb = crash
    debug_jac_at_stress = '1 2 3 2 -4 -5 3 -5 10'
    debug_jac_at_pm = 0.8
    debug_jac_at_intnl = 1
    debug_stress_change = 1E-8
    debug_pm_change = 1E-5
    debug_intnl_change = 1E-5
  [../]
[]


[Executioner]
  end_time = 1
  dt = 1
  type = Transient
[]


[Outputs]
  file_base = small_deform1
  exodus = false
  [./csv]
    type = CSV
    [../]
[]

(modules/solid_mechanics/test/tests/crystal_plasticity/twinning/combined_twinning_slip_100compression.i)

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]

[Mesh]
  [cube]
    type = GeneratedMeshGenerator
    dim = 3
    nx = 2
    ny = 2
    nz = 2
    elem_type = HEX8
  []
[]

[AuxVariables]
  [fp_zz]
    order = CONSTANT
    family = MONOMIAL
  []
  [total_twin_volume_fraction]
    order = CONSTANT
    family = MONOMIAL
  []
  [slip_increment_0]
    order = CONSTANT
    family = MONOMIAL
  []
  [slip_increment_1]
    order = CONSTANT
    family = MONOMIAL
  []
  [slip_increment_2]
    order = CONSTANT
    family = MONOMIAL
  []
  [slip_increment_3]
    order = CONSTANT
    family = MONOMIAL
  []
  [slip_increment_4]
    order = CONSTANT
    family = MONOMIAL
  []
  [slip_increment_5]
    order = CONSTANT
    family = MONOMIAL
  []
  [slip_increment_6]
    order = CONSTANT
    family = MONOMIAL
  []
  [slip_increment_7]
    order = CONSTANT
    family = MONOMIAL
  []
  [slip_increment_8]
    order = CONSTANT
    family = MONOMIAL
  []
  [slip_increment_9]
    order = CONSTANT
    family = MONOMIAL
  []
  [slip_increment_10]
    order = CONSTANT
    family = MONOMIAL
  []
  [slip_increment_11]
    order = CONSTANT
    family = MONOMIAL
  []
  [twin_volume_fraction_0]
   order = CONSTANT
   family = MONOMIAL
  []
  [twin_volume_fraction_1]
   order = CONSTANT
   family = MONOMIAL
  []
  [twin_volume_fraction_2]
   order = CONSTANT
   family = MONOMIAL
  []
  [twin_volume_fraction_3]
   order = CONSTANT
   family = MONOMIAL
  []
  [twin_volume_fraction_4]
   order = CONSTANT
   family = MONOMIAL
  []
  [twin_volume_fraction_5]
   order = CONSTANT
   family = MONOMIAL
  []
  [twin_volume_fraction_6]
   order = CONSTANT
   family = MONOMIAL
  []
  [twin_volume_fraction_7]
   order = CONSTANT
   family = MONOMIAL
  []
  [twin_volume_fraction_8]
   order = CONSTANT
   family = MONOMIAL
  []
  [twin_volume_fraction_9]
   order = CONSTANT
   family = MONOMIAL
  []
  [twin_volume_fraction_10]
   order = CONSTANT
   family = MONOMIAL
  []
  [twin_volume_fraction_11]
   order = CONSTANT
   family = MONOMIAL
  []
[]

[Physics/SolidMechanics/QuasiStatic/all]
  strain = FINITE
  add_variables = true
[]

[AuxKernels]
  [fp_zz]
    type = RankTwoAux
    variable = fp_zz
    rank_two_tensor = plastic_deformation_gradient
    index_j = 2
    index_i = 2
    execute_on = timestep_end
  []
  [total_twin_volume_fraction]
    type = MaterialRealAux
    variable = total_twin_volume_fraction
    property = twin_total_volume_fraction_twins
    execute_on = timestep_end
  []
  [slip_increment_0]
   type = MaterialStdVectorAux
   variable = slip_increment_0
   property = slip_increment
   index = 0
   execute_on = timestep_end
  []
  [slip_increment_1]
   type = MaterialStdVectorAux
   variable = slip_increment_1
   property = slip_increment
   index = 1
   execute_on = timestep_end
  []
  [slip_increment_2]
   type = MaterialStdVectorAux
   variable = slip_increment_2
   property = slip_increment
   index = 2
   execute_on = timestep_end
  []
  [slip_increment_3]
   type = MaterialStdVectorAux
   variable = slip_increment_3
   property = slip_increment
   index = 3
   execute_on = timestep_end
  []
  [slip_increment_4]
   type = MaterialStdVectorAux
   variable = slip_increment_4
   property = slip_increment
   index = 4
   execute_on = timestep_end
  []
  [slip_increment_5]
   type = MaterialStdVectorAux
   variable = slip_increment_5
   property = slip_increment
   index = 5
   execute_on = timestep_end
  []
  [slip_increment_6]
   type = MaterialStdVectorAux
   variable = slip_increment_6
   property = slip_increment
   index = 6
   execute_on = timestep_end
  []
  [slip_increment_7]
   type = MaterialStdVectorAux
   variable = slip_increment_7
   property = slip_increment
   index = 7
   execute_on = timestep_end
  []
  [slip_increment_8]
   type = MaterialStdVectorAux
   variable = slip_increment_8
   property = slip_increment
   index = 8
   execute_on = timestep_end
  []
  [slip_increment_9]
   type = MaterialStdVectorAux
   variable = slip_increment_9
   property = slip_increment
   index = 9
   execute_on = timestep_end
  []
  [slip_increment_10]
   type = MaterialStdVectorAux
   variable = slip_increment_10
   property = slip_increment
   index = 10
   execute_on = timestep_end
  []
  [slip_increment_11]
   type = MaterialStdVectorAux
   variable = slip_increment_11
   property = slip_increment
   index = 11
   execute_on = timestep_end
  []
  [twin_volume_fraction_0]
   type = MaterialStdVectorAux
   variable = twin_volume_fraction_0
   property = twin_twin_system_volume_fraction
   index = 0
   execute_on = timestep_end
  []
  [twin_volume_fraction_1]
   type = MaterialStdVectorAux
   variable = twin_volume_fraction_1
   property = twin_twin_system_volume_fraction
   index = 1
   execute_on = timestep_end
  []
  [twin_volume_fraction_2]
   type = MaterialStdVectorAux
   variable = twin_volume_fraction_2
   property = twin_twin_system_volume_fraction
   index = 2
   execute_on = timestep_end
  []
  [twin_volume_fraction_3]
   type = MaterialStdVectorAux
   variable = twin_volume_fraction_3
   property = twin_twin_system_volume_fraction
   index = 3
   execute_on = timestep_end
  []
  [twin_volume_fraction_4]
   type = MaterialStdVectorAux
   variable = twin_volume_fraction_4
   property = twin_twin_system_volume_fraction
   index = 4
   execute_on = timestep_end
  []
  [twin_volume_fraction_5]
   type = MaterialStdVectorAux
   variable = twin_volume_fraction_5
   property = twin_twin_system_volume_fraction
   index = 5
   execute_on = timestep_end
  []
  [twin_volume_fraction_6]
   type = MaterialStdVectorAux
   variable = twin_volume_fraction_6
   property = twin_twin_system_volume_fraction
   index = 6
   execute_on = timestep_end
  []
  [twin_volume_fraction_7]
   type = MaterialStdVectorAux
   variable = twin_volume_fraction_7
   property = twin_twin_system_volume_fraction
   index = 7
   execute_on = timestep_end
  []
  [twin_volume_fraction_8]
   type = MaterialStdVectorAux
   variable = twin_volume_fraction_8
   property = twin_twin_system_volume_fraction
   index = 8
   execute_on = timestep_end
  []
  [twin_volume_fraction_9]
   type = MaterialStdVectorAux
   variable = twin_volume_fraction_9
   property = twin_twin_system_volume_fraction
   index = 9
   execute_on = timestep_end
  []
  [twin_volume_fraction_10]
   type = MaterialStdVectorAux
   variable = twin_volume_fraction_10
   property = twin_twin_system_volume_fraction
   index = 10
   execute_on = timestep_end
  []
  [twin_volume_fraction_11]
   type = MaterialStdVectorAux
   variable = twin_volume_fraction_11
   property = twin_twin_system_volume_fraction
   index = 11
   execute_on = timestep_end
  []
[]

[BCs]
  [fix_y]
    type = DirichletBC
    variable = disp_y
    preset = true
    boundary = 'bottom'
    value = 0
  []
  [fix_x]
    type = DirichletBC
    variable = disp_x
    boundary = 'left'
    value = 0
  []
  [fix_z]
    type = DirichletBC
    variable = disp_z
    boundary = 'back'
    value = 0
  []
  [tdisp]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = front
    function = '-0.025*t'
  []
[]

[Materials]
  [elasticity_tensor]
    type = ComputeElasticityTensorCP
    C_ijkl = '1.684e5 1.214e5 1.214e5 1.684e5 1.214e5 1.684e5 0.754e5 0.754e5 0.754e5' # roughly copper
    fill_method = symmetric9
  []
  [stress]
    type = ComputeMultipleCrystalPlasticityStress
    crystal_plasticity_models = 'twin_xtalpl slip_xtalpl'
    tan_mod_type = exact
  []
  [twin_xtalpl]
    type = CrystalPlasticityTwinningKalidindiUpdate
    base_name = twin
    number_slip_systems = 12
    slip_sys_file_name = 'fcc_input_twinning_systems.txt'
    initial_twin_lattice_friction = 60.0
  []
  [slip_xtalpl]
    type = CrystalPlasticityKalidindiUpdate
    number_slip_systems = 12
    slip_sys_file_name = input_slip_sys.txt
    total_twin_volume_fraction = 'twin_total_volume_fraction_twins'
  []
[]

[Postprocessors]
  [fp_zz]
    type = ElementAverageValue
    variable = fp_zz
  []
  [total_twin_volume_fraction]
    type = ElementAverageValue
    variable = total_twin_volume_fraction
  []
  [slip_increment_0]
    type = ElementAverageValue
    variable = slip_increment_0
  []
  [slip_increment_1]
    type = ElementAverageValue
    variable = slip_increment_1
  []
  [slip_increment_2]
    type = ElementAverageValue
    variable = slip_increment_2
  []
  [slip_increment_3]
    type = ElementAverageValue
    variable = slip_increment_3
  []
  [slip_increment_4]
    type = ElementAverageValue
    variable = slip_increment_4
  []
  [slip_increment_5]
    type = ElementAverageValue
    variable = slip_increment_5
  []
  [slip_increment_6]
    type = ElementAverageValue
    variable = slip_increment_6
  []
  [slip_increment_7]
    type = ElementAverageValue
    variable = slip_increment_7
  []
  [slip_increment_8]
    type = ElementAverageValue
    variable = slip_increment_8
  []
  [slip_increment_9]
    type = ElementAverageValue
    variable = slip_increment_9
  []
  [slip_increment_10]
    type = ElementAverageValue
    variable = slip_increment_10
  []
  [slip_increment_11]
    type = ElementAverageValue
    variable = slip_increment_11
  []
  [twin_volume_fraction_0]
    type = ElementAverageValue
    variable = twin_volume_fraction_0
  []
  [twin_volume_fraction_1]
    type = ElementAverageValue
    variable = twin_volume_fraction_1
  []
  [twin_volume_fraction_2]
    type = ElementAverageValue
    variable = twin_volume_fraction_2
  []
  [twin_volume_fraction_3]
    type = ElementAverageValue
    variable = twin_volume_fraction_3
  []
  [twin_volume_fraction_4]
    type = ElementAverageValue
    variable = twin_volume_fraction_4
  []
  [twin_volume_fraction_5]
    type = ElementAverageValue
    variable = twin_volume_fraction_5
  []
  [twin_volume_fraction_6]
    type = ElementAverageValue
    variable = twin_volume_fraction_6
  []
  [twin_volume_fraction_7]
    type = ElementAverageValue
    variable = twin_volume_fraction_7
  []
  [twin_volume_fraction_8]
    type = ElementAverageValue
    variable = twin_volume_fraction_8
  []
  [twin_volume_fraction_9]
    type = ElementAverageValue
    variable = twin_volume_fraction_9
  []
  [twin_volume_fraction_10]
    type = ElementAverageValue
    variable = twin_volume_fraction_10
  []
  [twin_volume_fraction_11]
    type = ElementAverageValue
    variable = twin_volume_fraction_11
  []
[]

[Preconditioning]
  [smp]
    type = SMP
    full = true
  []
[]

[Executioner]
  type = Transient
  solve_type = 'PJFNK'

  petsc_options_iname = '-pc_type -pc_asm_overlap -sub_pc_type -ksp_type -ksp_gmres_restart'
  petsc_options_value = ' asm      2              lu            gmres     200'
  nl_abs_tol = 1e-10
  nl_rel_tol = 1e-10
  nl_abs_step_tol = 1e-10

  dt = 0.005
  dtmin = 0.01
  num_steps = 10
[]

[Outputs]
  csv = true
  perf_graph = true
[]

(modules/porous_flow/test/tests/hysteresis/hys_pc_2.i)

# Capillary-pressure calculation.  Second-order drying curve
# When comparing the results with a by-hand computation, remember the MOOSE results are averaged over an element
[Mesh]
  [mesh]
    type = GeneratedMeshGenerator
    dim = 1
    xmin = 0.1
    xmax = 0.9
    nx = 80
  []
[]

[GlobalParams]
  PorousFlowDictator = dictator
[]

[UserObjects]
  [dictator]
    type = PorousFlowDictator
    number_fluid_phases = 1
    number_fluid_components = 1
    porous_flow_vars = ''
  []
[]

[Variables]
  [sat]
  []
[]

[ICs]
  [sat]
    type = FunctionIC
    variable = sat
    function = 'x'
  []
[]

[BCs]
  [sat]
    type = FunctionDirichletBC
    variable = sat
    function = 'x'
    boundary = 'left right'
  []
[]


[Kernels]
  [dummy]
    type = Diffusion
    variable = sat
  []
[]

[Materials]
  [hys_order]
    type = PorousFlowHysteresisOrder
    initial_order = 2
    previous_turning_points = '0.1 0.9'
  []
  [pc_calculator]
    type = PorousFlowHystereticInfo
    alpha_d = 10.0
    alpha_w = 7.0
    n_d = 1.5
    n_w = 1.9
    S_l_min = 0.1
    S_lr = 0.2
    S_gr_max = 0.3
    Pc_max = 12.0
    high_ratio = 0.9
    low_extension_type = none
    high_extension_type = none
    sat_var = sat
  []
[]

[AuxVariables]
  [hys_order]
    family = MONOMIAL
    order = CONSTANT
  []
  [pc]
    family = MONOMIAL
    order = CONSTANT
  []
[]

[AuxKernels]
  [hys_order]
    type = PorousFlowPropertyAux
    variable = hys_order
    property = hysteresis_order
  []
  [pc]
    type = PorousFlowPropertyAux
    variable = pc
    property = hysteretic_info
  []
[]

[VectorPostprocessors]
  [pc]
    type = LineValueSampler
    warn_discontinuous_face_values = false
    start_point = '0.1 0 0'
    end_point = '0.9 0 0'
    num_points = 8
    sort_by = x
    variable = 'sat pc'
  []
[]

[Executioner]
  type = Transient
  solve_type = Linear
  dt = 1
  end_time = 1
[]

[Outputs]
  csv = true
[]

(modules/solid_mechanics/test/tests/umat/time_step/elastic_timestep.i)

# Testing the UMAT Interface - linear elastic model using the large strain formulation.

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]

[Mesh]
  [gen]
    type = GeneratedMeshGenerator
    dim = 3
    xmin = -0.5
    xmax = 0.5
    ymin = -0.5
    ymax = 0.5
    zmin = -0.5
    zmax = 0.5
  []
[]

[Functions]
  [top_pull]
    type = ParsedFunction
    expression = t/100
  []
[]

[Physics/SolidMechanics/QuasiStatic]
  [all]
    add_variables = true
    strain = FINITE
  []
[]

[BCs]
  [y_pull_function]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = top
    function = top_pull
  []
  [x_bot]
    type = DirichletBC
    variable = disp_x
    boundary = left
    value = 0.0
  []
  [y_bot]
    type = DirichletBC
    variable = disp_y
    boundary = bottom
    value = 0.0
  []
  [z_bot]
    type = DirichletBC
    variable = disp_z
    boundary = front
    value = 0.0
  []
[]

[Materials]
  [umat]
    type = AbaqusUMATStress
    constant_properties = '1000 0.3'
    plugin = '../../../plugins/elastic_timestep'
    num_state_vars = 0
    use_one_based_indexing = true
  []
[]

[Executioner]
  type = Transient
  solve_type = 'PJFNK'

  petsc_options = '-snes_ksp_ew'
  petsc_options_iname = '-ksp_gmres_restart'
  petsc_options_value = '101'

  line_search = 'none'

  l_max_its = 100
  nl_max_its = 100
  nl_rel_tol = 1e-12
  nl_abs_tol = 1e-10
  l_tol = 1e-9
  start_time = 0.0
  end_time = 30

  [TimeStepper]
    type = IterationAdaptiveDT
    optimal_iterations = 30
    iteration_window = 9
    growth_factor = 2.0
    cutback_factor = 1.0
    timestep_limiting_postprocessor = matl_ts_min
    dt = 1.0
  []
[]

[UserObjects]
  [time_step_size]
    type = TimestepSize
    execute_on = 'INITIAL LINEAR'
  []
  [terminator_umat]
    type = Terminator
    expression = 'time_step_size > matl_ts_min'
    fail_mode = SOFT
    execute_on = 'FINAL'
  []
[]

[Postprocessors]
  [matl_ts_min]
    type = MaterialTimeStepPostprocessor
  []
[]

[Preconditioning]
  [smp]
    type = SMP
    full = true
  []
[]

[Outputs]
  exodus = true
[]

(test/tests/outputs/debug/show_execution_kernels_bcs.i)

[Mesh]
  [gmg]
    type = GeneratedMeshGenerator
    dim = 2
    xmin = -1
    xmax = 1
    ymin = -1
    ymax = 1
    nx = 10
    ny = 10
    elem_type = QUAD9
  []
  [left]
    type = ParsedSubdomainMeshGenerator
    input = 'gmg'
    combinatorial_geometry = 'x < 0.5'
    block_id = '2'
  []
  [middle_boundary]
    type = SideSetsBetweenSubdomainsGenerator
    input = 'left'
    primary_block = '0'
    paired_block = '2'
    new_boundary = 'middle'
  []
[]

[Functions]
  [forcing_fnu]
    type = ParsedFunction
    expression = -5.8*(x+y)+x*x*x-x+y*y*y-y
  []
  [forcing_fnv]
    type = ParsedFunction
    expression = -4
  []

  [slnu]
    type = ParsedGradFunction
    expression = x*x*x-x+y*y*y-y
    grad_x = 3*x*x-1
    grad_y = 3*y*y-1
  []
  [slnv]
    type = ParsedGradFunction
    expression = x*x+y*y
    grad_x = 2*x
    grad_y = 2*y
  []

  # NeumannBC functions
  [bc_fnut]
    type = ParsedFunction
    expression = 3*y*y-1
  []
  [bc_fnub]
    type = ParsedFunction
    expression = -3*y*y+1
  []
  [bc_fnul]
    type = ParsedFunction
    expression = -3*x*x+1
  []
  [bc_fnur]
    type = ParsedFunction
    expression = 3*x*x-1
  []
[]

[Variables]
  [u]
    order = THIRD
    family = HIERARCHIC
  []
  [v]
    order = SECOND
    family = LAGRANGE
  []
[]

[Kernels]
  [diff1]
    type = Diffusion
    variable = u
  []
  [test1]
    type = CoupledConvection
    variable = u
    velocity_vector = v
  []
  [diff2]
    type = Diffusion
    variable = v
  []
  [react]
    type = Reaction
    variable = u
  []

  [forceu]
    type = BodyForce
    variable = u
    function = forcing_fnu
  []
  [forcev]
    type = BodyForce
    variable = v
    function = forcing_fnv
  []
[]

[BCs]
  [bc_v]
    type = FunctionDirichletBC
    variable = v
    function = slnv
    boundary = 'left right top bottom'
  []
  [bc_u_tb]
    type = CoupledKernelGradBC
    variable = u
    var2 = v
    vel = '0.1 0.1'
    boundary = 'top bottom left right'
  []
  [bc_ul]
    type = FunctionNeumannBC
    variable = u
    function = bc_fnul
    boundary = 'left'
  []
  [bc_ur]
    type = FunctionNeumannBC
    variable = u
    function = bc_fnur
    boundary = 'right'
  []
  [bc_ut]
    type = FunctionNeumannBC
    variable = u
    function = bc_fnut
    boundary = 'top'
  []
  [bc_ub]
    type = FunctionNeumannBC
    variable = u
    function = bc_fnub
    boundary = 'bottom'
  []
[]

[Dampers]
  active = ''
  [limit_v]
    type = BoundingValueElementDamper
    variable = v
    max_value = 1.5
    min_value = -20
  []
  [limit_u]
    type = BoundingValueElementDamper
    variable = u
    max_value = 1.5
    min_value = -20
  []
[]

[InterfaceKernels]
  [diff_ik_2]
    type = InterfaceDiffusion
    variable = 'u'
    neighbor_var = 'v'
    boundary = 'middle'
  []
  [diff_ik_1]
    type = InterfaceDiffusion
    variable = 'v'
    neighbor_var = 'u'
    boundary = 'middle'
  []
[]

[DGKernels]
  [diff_dg_2]
    type = DGDiffusion
    variable = 'u'
    epsilon = -1
    sigma = 6
  []
  [diff_dg_1]
    type = DGDiffusion
    variable = 'u'
    epsilon = -1
    sigma = 6
  []
[]

[DiracKernels]
  [source_2]
    type = FunctionDiracSource
    variable = 'u'
    point = '0.1 0.1 0'
    function = 'x + y'
  []
  [source_1]
    type = FunctionDiracSource
    variable = 'u'
    point = '0.1 0.1 0'
    function = 'x + y'
    block = '2'
  []
  [source_0]
    type = FunctionDiracSource
    variable = 'u'
    # in block 0, but since it's not block restricted it shows up as active in
    # block 2 as well
    point = '0.6 0.5 0'
    function = 'x + y'
  []
[]

[Materials]
  [diff]
    type = GenericConstantMaterial
    prop_names = 'D D_neighbor'
    prop_values = '0 0'
  []
[]

[Executioner]
  type = Steady

  solve_type = 'PJFNK'
  nl_rel_tol = 1e-15
  nl_abs_tol = 1e-13
[]

[Debug]
  show_execution_order = 'NONE ALWAYS INITIAL NONLINEAR LINEAR TIMESTEP_BEGIN TIMESTEP_END FINAL'
[]

(modules/solid_mechanics/test/tests/umat/multiple_blocks/multiple_blocks.i)

# Testing the UMAT Interface - linear elastic model using the large strain formulation.

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]

[Mesh]
  [mesh_1]
    type = GeneratedMeshGenerator
    dim = 3
    xmin = -0.5
    xmax = 0.5
    ymin = -0.5
    ymax = 0.5
    zmin = -0.5
    zmax = 0.5
  []
  [block_1]
    type = SubdomainIDGenerator
    input = mesh_1
    subdomain_id = 1
  []
  [mesh_2]
    type = GeneratedMeshGenerator
    dim = 3
    xmin = -2.0
    xmax = -1.0
    ymin = -2.0
    ymax = -1.0
    zmin = -2.0
    zmax = -1.
    boundary_name_prefix = 'second'
  []
  [block_2]
    type = SubdomainIDGenerator
    input = mesh_2
    subdomain_id = 2
  []
  [combined]
    type = CombinerGenerator
    inputs = 'block_1 block_2'
  []
[]

[Functions]
  [top_pull]
    type = ParsedFunction
    value = t/100
  []
  # Forced evolution of temperature
  [temperature_load]
    type = ParsedFunction
    value = '273 + 10*t'
  []
  # Factor to multiply the elasticity tensor in MOOSE
  [elasticity_prefactor]
    type = ParsedFunction
    value = '273/(273 + 10*t)'
  []
[]

[AuxVariables]
  [temperature]
  []
[]

[AuxKernels]
  [temperature_function]
    type = FunctionAux
    variable = temperature
    function = temperature_load
  []
[]

[Physics/SolidMechanics/QuasiStatic]
  [all]
    add_variables = true
    strain = FINITE
    generate_output = 'stress_yy'
  []
[]

[BCs]
  [y_pull_function]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = top
    function = top_pull
  []
  [x_bot]
    type = DirichletBC
    variable = disp_x
    boundary = left
    value = 0.0
  []
  [y_bot]
    type = DirichletBC
    variable = disp_y
    boundary = bottom
    value = 0.0
  []
  [z_bot]
    type = DirichletBC
    variable = disp_z
    boundary = front
    value = 0.0
  []
[]

[Materials]
  [umat_1]
    type = AbaqusUMATStress
    constant_properties = '1000 0.3'
    plugin = '../../../plugins/elastic_temperature'
    num_state_vars = 0
    temperature = temperature
    use_one_based_indexing = true
    block = '1'
  []
  [umat_2]
    type = AbaqusUMATStress
    constant_properties = '10000 0.3'
    plugin = '../../../plugins/elastic_temperature'
    num_state_vars = 0
    temperature = temperature
    use_one_based_indexing = true
    block = '2'
  []

  [elastic]
    type = ComputeIsotropicElasticityTensor
    youngs_modulus = 1000
    poissons_ratio = 0.3
    elasticity_tensor_prefactor = 'elasticity_prefactor'
  []
[]

[Executioner]
  type = Transient
  solve_type = 'PJFNK'

  petsc_options = '-snes_ksp_ew'
  petsc_options_iname = '-ksp_gmres_restart'
  petsc_options_value = '101'

  line_search = 'none'

  l_max_its = 100
  nl_max_its = 100
  nl_rel_tol = 1e-12
  nl_abs_tol = 1e-10
  l_tol = 1e-9
  start_time = 0.0
  num_steps = 30
  dt = 1.0
[]

[Preconditioning]
  [smp]
    type = SMP
    full = true
  []
[]

[Outputs]
  exodus = true
[]

(modules/solid_mechanics/test/tests/capped_mohr_coulomb/small_deform13.i)

# Using CappedMohrCoulomb with compressive failure only
# checking for small deformation
# A single element is compressed by "ep" in the z and x directions
# This causes the return direction to be along the hypersurface sigma_I = sigma_II
# where sigma_I = (E_2222 + E_2200) * ep
# compressive_strength is set to 1Pa, smoothing_tol = 0.1Pa
# The smoothed yield function is
# yf = -sigma_I + ismoother(0) - compressive_strength
#    = -sigma_I + (0.5 * smoothing_tol - smoothing_tol / Pi) - compressive_strength
#    = -sigma_I - 0.98183
#
# With zero Poisson's ratio, the return stress will be
# stress_00 = stress_22 = 0.98183
# with all other stress components being zero

[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]

[Physics/SolidMechanics/QuasiStatic]
  [./all]
    add_variables = true
    incremental = true
    generate_output = 'max_principal_stress mid_principal_stress min_principal_stress stress_xx stress_xy stress_xz stress_yy stress_yz stress_zz'
  [../]
[]

[BCs]
  [./x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'front back'
    function = '-0.25E-6*x'
  [../]
  [./y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'front back'
    function = '0'
  [../]
  [./z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'front back'
    function = '-0.25E-6*z'
  [../]
[]

[AuxVariables]
  [./yield_fcn]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]

[AuxKernels]
  [./yield_fcn_auxk]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 0
    variable = yield_fcn
  [../]
[]

[Postprocessors]
  [./s_xx]
    type = PointValue
    point = '0 0 0'
    variable = stress_xx
  [../]
  [./s_xy]
    type = PointValue
    point = '0 0 0'
    variable = stress_xy
  [../]
  [./s_xz]
    type = PointValue
    point = '0 0 0'
    variable = stress_xz
  [../]
  [./s_yy]
    type = PointValue
    point = '0 0 0'
    variable = stress_yy
  [../]
  [./s_yz]
    type = PointValue
    point = '0 0 0'
    variable = stress_yz
  [../]
  [./s_zz]
    type = PointValue
    point = '0 0 0'
    variable = stress_zz
  [../]
  [./f]
    type = PointValue
    point = '0 0 0'
    variable = yield_fcn
  [../]
[]

[UserObjects]
  [./ts]
    type = SolidMechanicsHardeningConstant
    value = 1
  [../]
  [./cs]
    type = SolidMechanicsHardeningConstant
    value = 1
  [../]
  [./coh]
    type = SolidMechanicsHardeningConstant
    value = 1E6
  [../]
  [./ang]
    type = SolidMechanicsHardeningConstant
    value = 0.5
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    block = 0
    fill_method = symmetric_isotropic
    C_ijkl = '0 2.0E6'
  [../]
  [./tensile]
    type = CappedMohrCoulombStressUpdate
    tensile_strength = ts
    compressive_strength = cs
    cohesion = coh
    friction_angle = ang
    dilation_angle = ang
    smoothing_tol = 0.1
    yield_function_tol = 1.0E-12
  [../]
  [./stress]
    type = ComputeMultipleInelasticStress
    inelastic_models = tensile
    perform_finite_strain_rotations = false
  [../]
[]


[Executioner]
  end_time = 1
  dt = 1
  type = Transient
[]


[Outputs]
  file_base = small_deform13
  csv = true
[]

(test/tests/geomsearch/3d_moving_penetration_smoothing/pl_test4nstt.i)

[GlobalParams]
  order = FIRST
  family = LAGRANGE
[]

[Mesh]
  file = pl_test4tt.e
  displacements = 'disp_x disp_y disp_z'
[]

[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
[]

[AuxVariables]
  [./distance]
  [../]
  [./tangential_distance]
  [../]
  [./normal_x]
  [../]
  [./normal_y]
  [../]
  [./normal_z]
  [../]
  [./closest_point_x]
  [../]
  [./closest_point_y]
  [../]
  [./closest_point_z]
  [../]
#  [./element_id]
#  [../]
  [./side]
  [../]
[]

[Kernels]
  [./diff_x]
    type = Diffusion
    variable = disp_x
  [../]
  [./diff_y]
    type = Diffusion
    variable = disp_y
  [../]
  [./diff_z]
    type = Diffusion
    variable = disp_z
  [../]
[]

[AuxKernels]
  [./penetrate]
    type = PenetrationAux
    variable = distance
    boundary = 11            #secondary
    paired_boundary = 12     #primary
    tangential_tolerance = 0.09
    normal_smoothing_distance = 0.2
  [../]

  [./penetrate2]
    type = PenetrationAux
    variable = distance
    boundary = 12            #secondary
    paired_boundary = 11     #primary
    tangential_tolerance = 0.09
    normal_smoothing_distance = 0.2
  [../]

  [./penetrate3]
    type = PenetrationAux
    variable = tangential_distance
    boundary = 11
    paired_boundary = 12
    quantity = tangential_distance
  [../]

  [./penetrate4]
    type = PenetrationAux
    variable = tangential_distance
    boundary = 12
    paired_boundary = 11
    quantity = tangential_distance
  [../]

  [./penetrate5]
    type = PenetrationAux
    variable = normal_x
    boundary = 11
    paired_boundary = 12
    quantity = normal_x
  [../]

  [./penetrate6]
    type = PenetrationAux
    variable = normal_x
    boundary = 12
    paired_boundary = 11
    quantity = normal_x
  [../]

  [./penetrate7]
    type = PenetrationAux
    variable = normal_y
    boundary = 11
    paired_boundary = 12
    quantity = normal_y
  [../]

  [./penetrate8]
    type = PenetrationAux
    variable = normal_y
    boundary = 12
    paired_boundary = 11
    quantity = normal_y
  [../]

  [./penetrate9]
    type = PenetrationAux
    variable = normal_z
    boundary = 11
    paired_boundary = 12
    quantity = normal_z
  [../]

  [./penetrate10]
    type = PenetrationAux
    variable = normal_z
    boundary = 12
    paired_boundary = 11
    quantity = normal_z
  [../]

  [./penetrate11]
    type = PenetrationAux
    variable = closest_point_x
    boundary = 11
    paired_boundary = 12
    quantity = closest_point_x
  [../]

  [./penetrate12]
    type = PenetrationAux
    variable = closest_point_x
    boundary = 12
    paired_boundary = 11
    quantity = closest_point_x
  [../]

  [./penetrate13]
    type = PenetrationAux
    variable = closest_point_y
    boundary = 11
    paired_boundary = 12
    quantity = closest_point_y
  [../]

  [./penetrate14]
    type = PenetrationAux
    variable = closest_point_y
    boundary = 12
    paired_boundary = 11
    quantity = closest_point_y
  [../]

  [./penetrate15]
    type = PenetrationAux
    variable = closest_point_z
    boundary = 11
    paired_boundary = 12
    quantity = closest_point_z
  [../]

  [./penetrate16]
    type = PenetrationAux
    variable = closest_point_z
    boundary = 12
    paired_boundary = 11
    quantity = closest_point_z
  [../]

#  [./penetrate17]
#    type = PenetrationAux
#    variable = element_id
#    boundary = 11
#    paired_boundary = 12
#    quantity = element_id
#  [../]
#
#  [./penetrate18]
#    type = PenetrationAux
#    variable = element_id
#    boundary = 12
#    paired_boundary = 11
#    quantity = element_id
#  [../]

  [./penetrate19]
    type = PenetrationAux
    variable = side
    boundary = 11
    paired_boundary = 12
    quantity = side
  [../]

  [./penetrate20]
    type = PenetrationAux
    variable = side
    boundary = 12
    paired_boundary = 11
    quantity = side
  [../]
[]

[BCs]
  [./b1x]
    type = DirichletBC
    variable = disp_x
    boundary = 1
    value = 0
  [../]

  [./b1y]
    type = DirichletBC
    variable = disp_y
    boundary = 1
    value = 0
  [../]

  [./b1z]
    type = DirichletBC
    variable = disp_z
    boundary = 1
    value = 0
  [../]

  [./b2x]
    type = DirichletBC
    variable = disp_x
    boundary = 2
    value = 0
  [../]

  [./b2y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 2
    function = disp_y
  [../]

  [./b2z]
    type = DirichletBC
    variable = disp_z
    boundary = 2
    value = 0
  [../]
[]

[Functions]
  [./disp_y]
    type = PiecewiseLinear
    x = '0.0 0.25 0.75 1.0'
    y = '0.0 2.0 -2.0  0.0'
  [../]
[]

[Executioner]
  type = Transient

  solve_type = 'PJFNK'
  petsc_options = '-snes_ksp_ew'

  nl_rel_tol = 1e-9
  l_max_its = 10

  start_time = 0.0
  dt = 0.02
  end_time = 1.0
[]

[Outputs]
  file_base = pl_test4nstt_out
  exodus = true
[]

(modules/solid_mechanics/test/tests/capped_drucker_prager/small_deform2_inner_edge.i)

# apply repeated stretches in x, y and z directions, so that mean_stress = 0
# This maps out the yield surface in the octahedral plane for zero mean stress

[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]

[Physics/SolidMechanics/QuasiStatic]
  [./all]
    add_variables = true
    incremental = true
    generate_output = 'stress_xx stress_xy stress_xz stress_yy stress_yz stress_zz'
  [../]
[]

[BCs]
  [./x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'front back'
    function = '-1.5E-6*x+2E-6*x*sin(t)'
  [../]
  [./y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'front back'
    function = '2E-6*y*sin(2*t)'
  [../]
  [./z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'front back'
    function = '-2E-6*z*(sin(t)+sin(2*t))'
  [../]
[]

[AuxVariables]
  [./yield_fcn]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]

[AuxKernels]
  [./yield_fcn_auxk]
    type = MaterialStdVectorAux
    index = 0
    property = plastic_yield_function
    variable = yield_fcn
  [../]
[]

[Postprocessors]
  [./s_xx]
    type = PointValue
    point = '0 0 0'
    variable = stress_xx
  [../]
  [./s_xy]
    type = PointValue
    point = '0 0 0'
    variable = stress_xy
  [../]
  [./s_xz]
    type = PointValue
    point = '0 0 0'
    variable = stress_xz
  [../]
  [./s_yy]
    type = PointValue
    point = '0 0 0'
    variable = stress_yy
  [../]
  [./s_yz]
    type = PointValue
    point = '0 0 0'
    variable = stress_yz
  [../]
  [./s_zz]
    type = PointValue
    point = '0 0 0'
    variable = stress_zz
  [../]
  [./f]
    type = PointValue
    point = '0 0 0'
    variable = yield_fcn
  [../]
  [./f0]
    type = PointValue
    point = '0 0 0'
    variable = yield_fcn
  [../]
  [./f1]
    type = PointValue
    point = '0 0 0'
    variable = yield_fcn
  [../]
[]

[UserObjects]
  [./ts]
    type = SolidMechanicsHardeningConstant
    value = 1000
  [../]
  [./cs]
    type = SolidMechanicsHardeningConstant
    value = 1000
  [../]
  [./mc_coh]
    type = SolidMechanicsHardeningConstant
    value = 10
  [../]
  [./mc_phi]
    type = SolidMechanicsHardeningConstant
    value = 20
    convert_to_radians = true
  [../]
  [./mc_psi]
    type = SolidMechanicsHardeningConstant
    value = 0
  [../]
  [./dp]
    type = SolidMechanicsPlasticDruckerPrager
    mc_cohesion = mc_coh
    mc_friction_angle = mc_phi
    mc_dilation_angle = mc_psi
    mc_interpolation_scheme = inner_edge
    internal_constraint_tolerance = 1 # irrelevant here
    yield_function_tolerance = 1      # irrelevant here
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeIsotropicElasticityTensor
    block = 0
    lambda = 0.0
    shear_modulus = 1.0e7
  [../]
  [./admissible]
    type = ComputeMultipleInelasticStress
    inelastic_models = cdp
    perform_finite_strain_rotations = false
  [../]
  [./cdp]
    type = CappedDruckerPragerStressUpdate
    DP_model = dp
    tensile_strength = ts
    compressive_strength = cs
    yield_function_tol = 1E-8
    tip_smoother = 4
    smoothing_tol = 1E-5
  [../]
[]


[Executioner]
  end_time = 100
  dt = 1
  type = Transient
[]


[Outputs]
  file_base = small_deform2_inner_edge
  exodus = false
  [./csv]
    type = CSV
  [../]
[]

(modules/combined/test/tests/phase_field_fracture/crack2d_iso_wo_time.i)

#This input does not add time derivative kernel for phase field equation
[Mesh]
  [gen]
    type = GeneratedMeshGenerator
    dim = 2
    nx = 20
    ny = 10
    ymax = 0.5
  []
  [./noncrack]
    type = BoundingBoxNodeSetGenerator
    new_boundary = noncrack
    bottom_left = '0.5 0 0'
    top_right = '1 0 0'
    input = gen
  [../]
[]

[GlobalParams]
  displacements = 'disp_x disp_y'
[]

[Physics]
  [./SolidMechanics]
    [./QuasiStatic]
      [./mech]
        add_variables = true
        strain = SMALL
        additional_generate_output = 'stress_yy'
        save_in = 'resid_x resid_y'
      [../]
    [../]
  [../]
[]

[Variables]
  [./c]
    order = FIRST
    family = LAGRANGE
  [../]
[]

[AuxVariables]
  [./resid_x]
  [../]
  [./resid_y]
  [../]
[]

[Kernels]
  [./solid_x]
    type = PhaseFieldFractureMechanicsOffDiag
    variable = disp_x
    component = 0
    c = c
  [../]
  [./solid_y]
    type = PhaseFieldFractureMechanicsOffDiag
    variable = disp_y
    component = 1
    c = c
  [../]
  [./ACBulk]
    type = AllenCahn
    variable = c
    f_name = F
  [../]

  [./ACInterface]
    type = ACInterface
    variable = c
    kappa_name = kappa_op
  [../]
[]

[BCs]
  [./ydisp]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = top
    function = 't'
  [../]
  [./yfix]
    type = DirichletBC
    variable = disp_y
    boundary = noncrack
    value = 0
  [../]
  [./xfix]
    type = DirichletBC
    variable = disp_x
    boundary = top
    value = 0
  [../]
[]

[Materials]
  [./pfbulkmat]
    type = GenericConstantMaterial
    prop_names = 'gc_prop l visco'
    prop_values = '1e-3 0.04 1e-4'
  [../]
  [./define_mobility]
    type = ParsedMaterial
    material_property_names = 'gc_prop visco'
    property_name = L
    expression = '1.0/(gc_prop * visco)'
  [../]
  [./define_kappa]
    type = ParsedMaterial
    material_property_names = 'gc_prop l'
    property_name = kappa_op
    expression = 'gc_prop * l'
  [../]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    C_ijkl = '120.0 80.0'
    fill_method = symmetric_isotropic
  [../]
  [./elastic]
    type = ComputeLinearElasticPFFractureStress
    c = c
    E_name = 'elastic_energy'
    D_name = 'degradation'
    F_name = 'local_fracture_energy'
    decomposition_type = strain_spectral
  [../]
  [./degradation]
    type = DerivativeParsedMaterial
    property_name = degradation
    coupled_variables = 'c'
    expression = '(1.0-c)^2*(1.0 - eta) + eta'
    constant_names       = 'eta'
    constant_expressions = '0.0'
    derivative_order = 2
  [../]
  [./local_fracture_energy]
    type = DerivativeParsedMaterial
    property_name = local_fracture_energy
    coupled_variables = 'c'
    material_property_names = 'gc_prop l'
    expression = 'c^2 * gc_prop / 2 / l'
    derivative_order = 2
  [../]
  [./fracture_driving_energy]
    type = DerivativeSumMaterial
    coupled_variables = c
    sum_materials = 'elastic_energy local_fracture_energy'
    derivative_order = 2
    property_name = F
  [../]
[]

[Postprocessors]
  [./resid_x]
    type = NodalSum
    variable = resid_x
    boundary = 2
  [../]
  [./resid_y]
    type = NodalSum
    variable = resid_y
    boundary = 2
  [../]
[]

[Preconditioning]
  [./smp]
    type = SMP
    full = true
  [../]
[]

[Executioner]
  type = Transient

  solve_type = PJFNK
  petsc_options_iname = '-pc_type -ksp_gmres_restart -sub_ksp_type -sub_pc_type -pc_asm_overlap'
  petsc_options_value = 'asm      31                  preonly       lu           1'

  nl_rel_tol = 1e-8
  l_max_its = 10
  nl_max_its = 10

  dt = 1e-4
  dtmin = 1e-4
  num_steps = 2
[]

[Outputs]
  exodus = true
[]

(modules/solid_mechanics/test/tests/recompute_radial_return/isotropic_plasticity_incremental_strain.i)

# This simulation uses the piece-wise linear strain hardening model
# with the incremental small strain formulation; incremental small strain
# is required to produce the strain_increment for the DiscreteRadialReturnStressIncrement
# class, which handles the calculation of the stress increment to return
# to the yield surface in a J2 (isotropic) plasticity problem.
#
#  This test assumes a Poissons ratio of zero and applies a displacement loading
# condition on the top in the y direction while fixing the displacement in the x
# and z directions; thus, only the normal stress and the normal strains in the
# y direction are compared in this problem.
#
# A similar problem was run in Abaqus on a similar 1 element mesh and was used
# to verify the SolidMechanics solution; this SolidMechanics code matches the
# SolidMechanics solution.
#
# Mechanical strain is the sum of the elastic and plastic strains but is different
# from total strain in cases with eigen strains, e.g. thermal strain.

[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
[]

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]

[Functions]
  [./top_pull]
    type = ParsedFunction
    expression = t*(0.01)
  [../]
  [./hf]
    type = PiecewiseLinear
    x = '0  0.00004 0.0001  0.1'
    y = '50   54    56       60'
  [../]
[]

[Physics/SolidMechanics/QuasiStatic]
  [./all]
    strain = SMALL
    incremental = true
    add_variables = true
    generate_output = 'stress_yy plastic_strain_xx plastic_strain_yy plastic_strain_zz'
  [../]
[]

[BCs]
  [./y_pull_function]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = top
    function = top_pull
  [../]

  [./x_sides]
    type = DirichletBC
    variable = disp_x
    boundary = 'left right'
    value = 0.0
  [../]
  [./y_bot]
    type = DirichletBC
    variable = disp_y
    boundary = bottom
    value = 0.0
  [../]
  [./z_sides]
    type = DirichletBC
    variable = disp_z
    boundary = 'back front'
    value = 0.0
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeIsotropicElasticityTensor
    youngs_modulus = 2.5e5
    poissons_ratio = 0.0
  [../]
  [./isotropic_plasticity]
    type = IsotropicPlasticityStressUpdate
    yield_stress = 25.
    hardening_constant = 1000.0
  [../]
  [./radial_return_stress]
    type = ComputeMultipleInelasticStress
    tangent_operator = elastic
    inelastic_models = 'isotropic_plasticity'
  [../]
[]

[Executioner]
  type = Transient

  #Preconditioned JFNK (default)
  solve_type = 'PJFNK'

  petsc_options = '-snes_ksp_ew'
  petsc_options_iname = '-ksp_gmres_restart'
  petsc_options_value = '101'

  line_search = 'none'

  l_max_its = 20
  nl_max_its = 20
  nl_rel_tol = 1e-10
  nl_abs_tol = 1e-12
  l_tol = 1e-9

  start_time = 0.0
  end_time = 0.01875
  dt = 0.00125
  dtmin = 0.0001
[]

[Outputs]
  exodus = true
  print_linear_residuals = true
  perf_graph = true
[]

(modules/combined/test/tests/j2_plasticity_vs_LSH/necking/j2_hard1_necking.i)

#

[Mesh]
  file = necking_quad4.e
  displacements = 'disp_x disp_y'
[]

[Variables]
  [./disp_x]
    order = FIRST
    family = LAGRANGE
  [../]
  [./disp_y]
    order = FIRST
    family = LAGRANGE
  [../]
[]

[Kernels]
  [./TensorMechanics]
    displacements = 'disp_x disp_y'
    use_displaced_mesh = true
#    save_in_disp_x = force_x
    save_in_disp_y = force_y
  [../]
[]

[AuxVariables]
  [./stress_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./strain_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./strain_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
#  [./force_x]
#    order = FIRST
#    family = LAGRANGE
#  [../]
  [./force_y]
    order = FIRST
    family = LAGRANGE
  [../]
[]

[AuxKernels]
  [./stress_xx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xx
    index_i = 0
    index_j = 0
  [../]
  [./stress_yy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yy
    index_i = 1
    index_j = 1
  [../]
  [./strain_xx]
    type = RankTwoAux
    rank_two_tensor = total_strain
    variable = strain_xx
    index_i = 0
    index_j = 0
  [../]
  [./strain_yy]
    type = RankTwoAux
    rank_two_tensor = total_strain
    variable = strain_yy
    index_i = 1
    index_j = 1
  [../]
[]

[BCs]
  [./left]
    type = DirichletBC
    variable = disp_x
    boundary = left
    value = 0.0
  [../]
  [./bottom]
    type = DirichletBC
    variable = disp_y
    boundary = bottom
    value = 0.0
  [../]
  [./y_top]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = top
    function = 't/5'
  [../]
[]

[UserObjects]
  [./str]
    type = TensorMechanicsHardeningConstant
    value = 2.4e2
  [../]
  [./j2]
    type = TensorMechanicsPlasticJ2
    yield_strength = str
    yield_function_tolerance = 1E-3
    internal_constraint_tolerance = 1E-9
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    block = 1
    fill_method = symmetric_isotropic
    #with E = 2.1e5 and nu = 0.3
    #changed to SM values using E-nu to Lambda-G
    C_ijkl = '121154 80769.2'
  [../]
  [./strain]
    type = ComputeFiniteStrain
    block = 1
    displacements = 'disp_x disp_y'
  [../]
  [./mc]
    type = ComputeMultiPlasticityStress
    block = 1
    ep_plastic_tolerance = 1E-9
    plastic_models = j2
  [../]
[]

[Executioner]
  end_time = 0.2
  dt = 0.005
  type = Transient

  #Preconditioned JFNK (default)
  solve_type = 'PJFNK'

  petsc_options = '-snes_ksp_ew'
  petsc_options_iname = '-ksp_gmres_restart'
  petsc_options_value = '101'

  line_search = 'none'

  l_max_its = 100
  nl_max_its = 100
  nl_rel_tol = 1e-12
  nl_abs_tol = 1e-10
  l_tol = 1e-9
[]

[Postprocessors]
  [./stress_xx]
    type = ElementAverageValue
    variable = stress_xx
  [../]
  [./stress_yy]
    type = ElementAverageValue
    variable = stress_yy
  [../]
  [./strain_xx]
    type = ElementAverageValue
    variable = strain_xx
  [../]
  [./strain_yy]
    type = ElementAverageValue
    variable = strain_yy
  [../]
  [./disp_y]
    type = NodalSum
    variable = disp_y
    boundary = top
  [../]
  [./force_y]
    type = NodalSum
    variable = force_y
    boundary = top
  [../]
[]

[Outputs]
  exodus = true
  csv = true
  print_linear_residuals = false
  perf_graph = true
[]

(modules/navier_stokes/test/tests/finite_element/ins/mms/supg/supg_pspg_adv_dominated_mms.i)

mu=1.5e-4
rho=2.5

[GlobalParams]
  gravity = '0 0 0'
  supg = true
  pspg = true
  convective_term = true
  integrate_p_by_parts = false
  transient_term = true
  laplace = true
  u = vel_x
  v = vel_y
  pressure = p
  alpha = 1e0
  order = FIRST
  family = LAGRANGE
[]

[Mesh]
  [gen]
    type = GeneratedMeshGenerator
    dim = 2
    xmin = 0
    xmax = 1.0
    ymin = 0
    ymax = 1.0
    elem_type = QUAD9
    nx = 4
    ny = 4
  []
  [./corner_node]
    type = ExtraNodesetGenerator
    new_boundary = 'pinned_node'
    nodes = '0'
    input = gen
  [../]
[]

[Variables]
  [./vel_x]
  [../]

  [./vel_y]
  [../]

  [./p]
    order = FIRST
  [../]
[]

[Kernels]
  # mass
  [./mass]
    type = INSMass
    variable = p
    x_vel_forcing_func = vel_x_source_func
    y_vel_forcing_func = vel_y_source_func
  [../]

  [./x_time]
    type = INSMomentumTimeDerivative
    variable = vel_x
  [../]
  [./y_time]
    type = INSMomentumTimeDerivative
    variable = vel_y
  [../]

  # x-momentum, space
  [./x_momentum_space]
    type = INSMomentumLaplaceForm
    variable = vel_x
    component = 0
    forcing_func = vel_x_source_func
  [../]

  # y-momentum, space
  [./y_momentum_space]
    type = INSMomentumLaplaceForm
    variable = vel_y
    component = 1
    forcing_func = vel_y_source_func
  [../]

  [./p_source]
    type = BodyForce
    function = p_source_func
    variable = p
  [../]
[]

[BCs]
  [./vel_x]
    type = FunctionDirichletBC
    boundary = 'left right top bottom'
    function = vel_x_func
    variable = vel_x
  [../]
  [./vel_y]
    type = FunctionDirichletBC
    boundary = 'left right top bottom'
    function = vel_y_func
    variable = vel_y
  [../]
  [./p]
    type = FunctionDirichletBC
    boundary = 'left right top bottom'
    function = p_func
    variable = p
  [../]
[]

[Functions]
  [./vel_x_source_func]
    type = ParsedFunction
    expression = '-${mu}*(-0.028*pi^2*x^2*sin(0.2*pi*x*y) - 0.028*pi^2*y^2*sin(0.2*pi*x*y) - 0.1*pi^2*sin(0.5*pi*x) - 0.4*pi^2*sin(pi*y)) + ${rho}*(0.14*pi*x*cos(0.2*pi*x*y) + 0.4*pi*cos(pi*y))*(0.6*sin(0.8*pi*x) + 0.3*sin(0.3*pi*y) + 0.2*sin(0.3*pi*x*y) + 0.3) + ${rho}*(0.14*pi*y*cos(0.2*pi*x*y) + 0.2*pi*cos(0.5*pi*x))*(0.4*sin(0.5*pi*x) + 0.4*sin(pi*y) + 0.7*sin(0.2*pi*x*y) + 0.5) + 0.1*pi*y*cos(0.2*pi*x*y) + 0.25*pi*cos(0.5*pi*x)'
  [../]
  [./vel_y_source_func]
    type = ParsedFunction
    expression = '-${mu}*(-0.018*pi^2*x^2*sin(0.3*pi*x*y) - 0.018*pi^2*y^2*sin(0.3*pi*x*y) - 0.384*pi^2*sin(0.8*pi*x) - 0.027*pi^2*sin(0.3*pi*y)) + ${rho}*(0.06*pi*x*cos(0.3*pi*x*y) + 0.09*pi*cos(0.3*pi*y))*(0.6*sin(0.8*pi*x) + 0.3*sin(0.3*pi*y) + 0.2*sin(0.3*pi*x*y) + 0.3) + ${rho}*(0.06*pi*y*cos(0.3*pi*x*y) + 0.48*pi*cos(0.8*pi*x))*(0.4*sin(0.5*pi*x) + 0.4*sin(pi*y) + 0.7*sin(0.2*pi*x*y) + 0.5) + 0.1*pi*x*cos(0.2*pi*x*y) + 0.3*pi*cos(0.3*pi*y)'
  [../]
  [./p_source_func]
    type = ParsedFunction
    expression = '-0.06*pi*x*cos(0.3*pi*x*y) - 0.14*pi*y*cos(0.2*pi*x*y) - 0.2*pi*cos(0.5*pi*x) - 0.09*pi*cos(0.3*pi*y)'
  [../]
  [./vel_x_func]
    type = ParsedFunction
    expression = '0.4*sin(0.5*pi*x) + 0.4*sin(pi*y) + 0.7*sin(0.2*pi*x*y) + 0.5'
  [../]
  [./vel_y_func]
    type = ParsedFunction
    expression = '0.6*sin(0.8*pi*x) + 0.3*sin(0.3*pi*y) + 0.2*sin(0.3*pi*x*y) + 0.3'
  [../]
  [./p_func]
    type = ParsedFunction
    expression = '0.5*sin(0.5*pi*x) + 1.0*sin(0.3*pi*y) + 0.5*sin(0.2*pi*x*y) + 0.5'
  [../]
  [./vxx_func]
    type = ParsedFunction
    expression = '0.14*pi*y*cos(0.2*pi*x*y) + 0.2*pi*cos(0.5*pi*x)'
  [../]
[]

[Materials]
  [./const]
    type = GenericConstantMaterial
    block = 0
    prop_names = 'rho mu'
    prop_values = '${rho}  ${mu}'
  [../]
[]

[Preconditioning]
  [./SMP]
    type = SMP
    full = true
    solve_type = 'NEWTON'
  [../]
[]

[Executioner]
  petsc_options = '-snes_converged_reason -ksp_converged_reason -snes_view'
  petsc_options_iname = '-pc_type -pc_factor_shift_type -pc_factor_mat_solver_package'
  petsc_options_value = 'lu NONZERO superlu_dist'
  line_search = 'none'
  nl_rel_tol = 1e-8
  nl_abs_tol = 1e-12
  nl_max_its = 10
  l_tol = 1e-6
  l_max_its = 10
  # To run to steady-state, set num-steps to some large number (1000000 for example)
  type = Transient
  num_steps = 10
  steady_state_detection = true
  steady_state_tolerance = 1e-10
  [./TimeStepper]
    dt = .1
    type = IterationAdaptiveDT
    cutback_factor = 0.4
    growth_factor = 1.2
    optimal_iterations = 20
  [../]
[]

[Outputs]
  execute_on = 'final'
  [./exodus]
    type = Exodus
  [../]
  [./csv]
    type = CSV
  [../]
[]

[Postprocessors]
  [./L2vel_x]
    type = ElementL2Error
    variable = vel_x
    function = vel_x_func
    outputs = 'console'    execute_on = 'timestep_end'
  [../]
  [./L2vel_y]
    variable = vel_y
    function = vel_y_func
    type = ElementL2Error
    outputs = 'console'    execute_on = 'timestep_end'
  [../]
  [./L2p]
    variable = p
    function = p_func
    type = ElementL2Error
    outputs = 'console'    execute_on = 'timestep_end'
  [../]
  [./L2vxx]
    variable = vxx
    function = vxx_func
    type = ElementL2Error
    outputs = 'console'    execute_on = 'timestep_end'
  [../]
[]

[AuxVariables]
  [./vxx]
    family = MONOMIAL
    order = FIRST
  [../]
[]

[AuxKernels]
  [./vxx]
    type = VariableGradientComponent
    component = x
    variable = vxx
    gradient_variable = vel_x
  [../]
[]

(modules/heat_transfer/test/tests/multiple_contact_pairs/multiple_contact_pairs.i)

[Mesh]
  file = 3blk.e
[]

[Functions]
  [temperature]
    type = PiecewiseLinear
    x = '0   1   2'
    y = '100 300 300'
  []
[]

[ThermalContact]
  [thermal_contact]
    type = GapHeatTransfer
    variable = temperature
    primary = '101 201'
    secondary = '100 200'
    emissivity_primary = 0
    emissivity_secondary = 0
    gap_conductance = 1.0e9
  []
[]

[Variables]
  [temperature]
    order = FIRST
    family = LAGRANGE
    initial_condition = 100
  []
[]

[AuxVariables]
  [gap_cond]
    order = CONSTANT
    family = MONOMIAL
  []
[]

[Kernels]
  [heat]
    type = HeatConduction
    variable = temperature
  []
[]

[BCs]
  [temp_far_left]
    type = FunctionDirichletBC
    boundary = '101 201'
    variable = temperature
    function = temperature
  []
  [temp_far_right]
    type = DirichletBC
    boundary = 'left right'
    variable = temperature
    value = 100
  []
[]

[AuxKernels]
  [conductance]
    type = MaterialRealAux
    property = gap_conductance
    variable = gap_cond
    boundary = 100
  []
[]

[Materials]
  [heat1]
    type = HeatConductionMaterial
    block = '1 2 3'
    specific_heat = 1.0
    thermal_conductivity = 100000000.0
  []
  [density]
    type = GenericConstantMaterial
    block = '1 2 3'
    prop_names = 'density'
    prop_values = '1.0'
  []
[]

[Executioner]
  type = Transient

  solve_type = 'PJFNK'
  petsc_options_iname = '-ksp_gmres_restart -pc_type -pc_hypre_type -pc_hypre_boomeramg_max_iter'
  petsc_options_value = '201                hypre    boomeramg      4'

  line_search = 'none'
  nl_rel_tol = 1e-8
  l_tol = 1e-3
  l_max_its = 100

  dt = 1e-1
  end_time = 1.0
[]

[Postprocessors]
  [temp_left]
    type = SideAverageValue
    boundary = 100
    variable = temperature
    execute_on = 'initial timestep_end'
  []

  [temp_right]
    type = SideAverageValue
    boundary = 200
    variable = temperature
    execute_on = 'initial timestep_end'
  []

  [flux_left]
    type = SideDiffusiveFluxIntegral
    variable = temperature
    boundary = 100
    diffusivity = thermal_conductivity
    execute_on = 'initial timestep_end'
  []

  [flux_right]
    type = SideDiffusiveFluxIntegral
    variable = temperature
    boundary = 200
    diffusivity = thermal_conductivity
    execute_on = 'initial timestep_end'
  []
[]

[Outputs]
  exodus = false
  csv = true
[]

(modules/solid_mechanics/test/tests/capped_mohr_coulomb/random5.i)

# Using CappedMohrCoulomb
# Plasticity models:
# Tensile strength = 1.5
# Compressive strength = 3.0
# Cohesion = 1.0
# Friction angle = dilation angle = 20deg
#
# Young = 1, Poisson = 0.3
#
# A line of elements is perturbed randomly, and return to the yield surface at each quadpoint is checked

[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 100
  ny = 12
  nz = 1
  xmin = 0
  xmax = 100
  ymin = 0
  ymax = 12
  zmin = 0
  zmax = 1
[]


[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
[]

[Kernels]
  [SolidMechanics]
    displacements = 'disp_x disp_y disp_z'
  [../]
[]


[ICs]
  [./x]
    type = RandomIC
    min = -0.1
    max = 0.1
    variable = disp_x
  [../]
  [./y]
    type = RandomIC
    min = -0.1
    max = 0.1
    variable = disp_y
  [../]
  [./z]
    type = RandomIC
    min = -0.1
    max = 0.1
    variable = disp_z
  [../]
[]

[BCs]
  [./x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'front back'
    function = '0'
  [../]
  [./y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'front back'
    function = '0'
  [../]
  [./z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'front back'
    function = '0'
  [../]
[]

[AuxVariables]
  [./Smax]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./Smid]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./Smin]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]

[AuxKernels]
  [./Smax]
    type = RankTwoScalarAux
    rank_two_tensor = stress
    variable = Smax
    scalar_type = MaxPrincipal
  [../]
  [./Smid]
    type = RankTwoScalarAux
    rank_two_tensor = stress
    variable = Smid
    scalar_type = MidPrincipal
  [../]
  [./Smin]
    type = RankTwoScalarAux
    rank_two_tensor = stress
    variable = Smin
    scalar_type = MinPrincipal
  [../]
[]

[UserObjects]
  [./ts]
    type = SolidMechanicsHardeningConstant
    value = 1.5
  [../]
  [./cs]
    type = SolidMechanicsHardeningConstant
    value = 3.0
  [../]
  [./coh]
    type = SolidMechanicsHardeningConstant
    value = 1.0
  [../]
  [./phi]
    type = SolidMechanicsHardeningConstant
    value = 20
    convert_to_radians = true
  [../]
  [./psi]
    type = SolidMechanicsHardeningConstant
    value = 3
    convert_to_radians = true
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeIsotropicElasticityTensor
    youngs_modulus = 100
    poissons_ratio = 0.3
  [../]
  [./strain]
    type = ComputeFiniteStrain
    displacements = 'disp_x disp_y disp_z'
  [../]
  [./capped_mc]
    type = CappedMohrCoulombStressUpdate
    tensile_strength = ts
    compressive_strength = cs
    cohesion = coh
    friction_angle = phi
    dilation_angle = psi
    smoothing_tol = 0.2
    yield_function_tol = 1.0E-12
    max_NR_iterations = 1000
  [../]
  [./stress]
    type = ComputeMultipleInelasticStress
    inelastic_models = capped_mc
    perform_finite_strain_rotations = false
  [../]
[]


[Executioner]
  end_time = 1
  dt = 1
  type = Transient
[]


[Outputs]
  file_base = random5
  exodus = true
[]

(modules/solid_mechanics/test/tests/static_deformations/beam_cosserat_02_apply_disps.i)

# Beam bending.
# Displacements are applied to a beam and stresses and moment-stresses
# are measured.  Note that since these quantities are averaged over
# elements, to get a good agreement with the analytical solution the
# number of elements (nz) should be increased.  Using nx=10
# and nz=10 yields roughly 1% error.
# The displacements applied are a pure-bend around the y axis
# with an additional displacement in the y direction so that
# the result (below) will end up being plane stress (stress_yy=0):
# u_x = Axz
# u_y = Dzy
# u_z = -(A/2)x^2 + (D/2)(z^2-y^2)
# wc_x = -Dy
# wc_y = Ax
# wc_z = 0
# Here A and D are arbitrary constants.
# This results in strains being symmetric, and the only
# nonzero ones are
# ep_xx = Az
# ep_yy = Dz
# ep_zz = Dz
# kappa_xy = -D
# kappa_yx = A
# Then choosing D = -poisson*A gives, for layered Cosserat:
# stress_xx = EAz
# m_yx = (1-poisson^2)*A*B = (1/12)EAh^2 (last equality for joint_shear_stiffness=0)
# where h is the layer thickness.  All other stress and moment-stress
# components are zero.
# The test uses: E=1.2, poisson=0.3, A=1.11E-2, h=2
[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 10
  xmax = 10
  ny = 1
  nz = 10
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
  Cosserat_rotations = 'wc_x wc_y wc_z'
[]

[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
  [./wc_x]
  [../]
  [./wc_y]
  [../]
[]

[Kernels]
  [./cx_elastic]
    type = CosseratStressDivergenceTensors
    variable = disp_x
    component = 0
  [../]
  [./cy_elastic]
    type = CosseratStressDivergenceTensors
    variable = disp_y
    component = 1
  [../]
  [./cz_elastic]
    type = CosseratStressDivergenceTensors
    variable = disp_z
    component = 2
  [../]
  [./x_couple]
    type = StressDivergenceTensors
    variable = wc_x
    displacements = 'wc_x wc_y wc_z'
    component = 0
    base_name = couple
  [../]
  [./y_couple]
    type = StressDivergenceTensors
    variable = wc_y
    displacements = 'wc_x wc_y wc_z'
    component = 1
    base_name = couple
  [../]
  [./x_moment]
    type = MomentBalancing
    variable = wc_x
    component = 0
  [../]
  [./y_moment]
    type = MomentBalancing
    variable = wc_y
    component = 1
  [../]
[]

[BCs]
  # zmin is called back
  # zmax is called front
  # ymin is called bottom
  # ymax is called top
  # xmin is called left
  # xmax is called right
  [./clamp_z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'left right top bottom front back'
    function = '-1.11E-2*x*x/2-0.3*(z*z-y*y)/2.0*1.11E-2'
  [../]
  [./clamp_y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'left right top bottom front back'
    function = '-0.3*z*y*1.11E-2'
  [../]
  [./clamp_x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'left right top bottom front back'
    function = '1.11E-2*x*z'
  [../]
  [./clamp_wc_x]
    type = FunctionDirichletBC
    variable = wc_x
    boundary = 'left right top bottom front back'
    function = '0.3*y*1.11E-2'
  [../]
  [./clamp_wc_y]
    type = FunctionDirichletBC
    variable = wc_y
    boundary = 'left right top bottom front back'
    function = '1.11E-2*x'
  [../]
[]


[AuxVariables]
  [./wc_z]
  [../]
  [./stress_xx]
    family = MONOMIAL
    order = CONSTANT
  [../]
  [./stress_xy]
    family = MONOMIAL
    order = CONSTANT
  [../]
  [./stress_xz]
    family = MONOMIAL
    order = CONSTANT
  [../]
  [./stress_yx]
    family = MONOMIAL
    order = CONSTANT
  [../]
  [./stress_yy]
    family = MONOMIAL
    order = CONSTANT
  [../]
  [./stress_yz]
    family = MONOMIAL
    order = CONSTANT
  [../]
  [./stress_zx]
    family = MONOMIAL
    order = CONSTANT
  [../]
  [./stress_zy]
    family = MONOMIAL
    order = CONSTANT
  [../]
  [./stress_zz]
    family = MONOMIAL
    order = CONSTANT
  [../]
  [./couple_stress_xx]
    family = MONOMIAL
    order = CONSTANT
  [../]
  [./couple_stress_xy]
    family = MONOMIAL
    order = CONSTANT
  [../]
  [./couple_stress_xz]
    family = MONOMIAL
    order = CONSTANT
  [../]
  [./couple_stress_yx]
    family = MONOMIAL
    order = CONSTANT
  [../]
  [./couple_stress_yy]
    family = MONOMIAL
    order = CONSTANT
  [../]
  [./couple_stress_yz]
    family = MONOMIAL
    order = CONSTANT
  [../]
  [./couple_stress_zx]
    family = MONOMIAL
    order = CONSTANT
  [../]
  [./couple_stress_zy]
    family = MONOMIAL
    order = CONSTANT
  [../]
  [./couple_stress_zz]
    family = MONOMIAL
    order = CONSTANT
  [../]
[]

[AuxKernels]
  [./stress_xx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xx
    index_i = 0
    index_j = 0
  [../]
  [./stress_xy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xy
    index_i = 0
    index_j = 1
  [../]
  [./stress_xz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xz
    index_i = 0
    index_j = 2
  [../]
  [./stress_yx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yx
    index_i = 1
    index_j = 0
  [../]
  [./stress_yy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yy
    index_i = 1
    index_j = 1
  [../]
  [./stress_yz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yz
    index_i = 1
    index_j = 2
  [../]
  [./stress_zx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zx
    index_i = 2
    index_j = 0
  [../]
  [./stress_zy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zy
    index_i = 2
    index_j = 1
  [../]
  [./stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zz
    index_i = 2
    index_j = 2
  [../]
  [./couple_stress_xx]
    type = RankTwoAux
    rank_two_tensor = couple_stress
    variable = couple_stress_xx
    index_i = 0
    index_j = 0
  [../]
  [./couple_stress_xy]
    type = RankTwoAux
    rank_two_tensor = couple_stress
    variable = couple_stress_xy
    index_i = 0
    index_j = 1
  [../]
  [./couple_stress_xz]
    type = RankTwoAux
    rank_two_tensor = couple_stress
    variable = couple_stress_xz
    index_i = 0
    index_j = 2
  [../]
  [./couple_stress_yx]
    type = RankTwoAux
    rank_two_tensor = couple_stress
    variable = couple_stress_yx
    index_i = 1
    index_j = 0
  [../]
  [./couple_stress_yy]
    type = RankTwoAux
    rank_two_tensor = couple_stress
    variable = couple_stress_yy
    index_i = 1
    index_j = 1
  [../]
  [./couple_stress_yz]
    type = RankTwoAux
    rank_two_tensor = couple_stress
    variable = couple_stress_yz
    index_i = 1
    index_j = 2
  [../]
  [./couple_stress_zx]
    type = RankTwoAux
    rank_two_tensor = couple_stress
    variable = couple_stress_zx
    index_i = 2
    index_j = 0
  [../]
  [./couple_stress_zy]
    type = RankTwoAux
    rank_two_tensor = couple_stress
    variable = couple_stress_zy
    index_i = 2
    index_j = 1
  [../]
  [./couple_stress_zz]
    type = RankTwoAux
    rank_two_tensor = couple_stress
    variable = couple_stress_zz
    index_i = 2
    index_j = 2
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeLayeredCosseratElasticityTensor
    young = 1.2
    poisson = 0.3
    layer_thickness = 2.0
    joint_normal_stiffness = 1E16
    joint_shear_stiffness = 1E-15
  [../]
  [./strain]
    type = ComputeCosseratSmallStrain
  [../]
  [./stress]
    type = ComputeCosseratLinearElasticStress
  [../]
[]

[Preconditioning]
  [./andy]
    type = SMP
    full = true
    petsc_options_iname = '-ksp_type -pc_type -sub_pc_type -snes_atol -snes_rtol -snes_max_it -ksp_atol -ksp_rtol -sub_pc_factor_shift_type'
    petsc_options_value = 'gmres asm lu 1E-10 1E-14 10 1E-15 1E-10 NONZERO'
  [../]
[]

[Executioner]
  type = Transient
  solve_type = Newton
  num_steps = 1
[]

[Outputs]
  execute_on = 'timestep_end'
  file_base = beam_cosserat_02_apply_disps
  exodus = true
[]

(modules/phase_field/test/tests/free_energy_material/RegularSolutionFreeEnergy_plog.i)

[Mesh]
  type = GeneratedMesh
  dim = 1
  nx = 50
  xmax = 1
[]

[Variables]
  [./c]
    order = FIRST
    family = LAGRANGE
    [./InitialCondition]
      type = FunctionIC
      function = x
    [../]
  [../]
[]

[Kernels]
  [./diff]
    type = Diffusion
    variable = c
  [../]
[]

[BCs]
  [./left]
    type = FunctionDirichletBC
    variable = c
    boundary = left
    function = x
  [../]
  [./right]
    type = FunctionDirichletBC
    variable = c
    boundary = right
    function = x
  [../]
[]

[Materials]
  [./free_energy]
    type = RegularSolutionFreeEnergy
    property_name = F
    c = c
    outputs = out
    log_tol = 0.2
  [../]
[]

[Executioner]
  type = Steady
  solve_type = NEWTON
  l_max_its = 1
  nl_max_its = 1
  nl_abs_tol = 1
[]

[Outputs]
  execute_on = 'timestep_end'
  [./out]
    type = Exodus
    execute_on = timestep_end
  [../]
[]

(modules/phase_field/test/tests/free_energy_material/RegularSolutionFreeEnergy_const_T.i)

[Mesh]
  type = GeneratedMesh
  dim = 1
  nx = 10
  xmax = 1
[]

[Variables]
  [./c]
    order = FIRST
    family = LAGRANGE
    [./InitialCondition]
      type = FunctionIC
      function = x
    [../]
  [../]
[]

[Kernels]
  [./diff]
    type = Diffusion
    variable = c
  [../]
[]

[BCs]
  [./left]
    type = FunctionDirichletBC
    variable = c
    boundary = left
    function = x
  [../]
  [./right]
    type = FunctionDirichletBC
    variable = c
    boundary = right
    function = x
  [../]
[]

[Materials]
  [./free_energy]
    type = RegularSolutionFreeEnergy
    property_name = F
    c = c
    outputs = out
  [../]
[]

[Executioner]
  type = Steady
  solve_type = NEWTON
  l_max_its = 1
  nl_max_its = 1
  nl_abs_tol = 1
[]

[Outputs]
  execute_on = 'timestep_end'
  [./out]
    type = Exodus
    execute_on = timestep_end
  [../]
[]

(modules/contact/test/tests/fieldsplit/frictional_mortar_FS.i)

offset = 0.021

vy = 0.15
vx = 0.04

refine = 1

[GlobalParams]
  displacements = 'disp_x disp_y'
  volumetric_locking_correction = true
[]

[Mesh]
  [original_file_mesh]
    type = FileMeshGenerator
    file = long_short_blocks.e
  []
  uniform_refine = ${refine}
[]

[Physics/SolidMechanics/QuasiStatic]
  [all]
    strain = FINITE
    incremental = true
    add_variables = true
    block = '1 2'
    use_automatic_differentiation = true
  []
[]

[Functions]
  [horizontal_movement]
    type = ParsedFunction
    expression = 'if(t<0.5,${vx}*t-${offset},${vx}-${offset})'
  []
  [vertical_movement]
    type = ParsedFunction
    expression = 'if(t<0.5,${offset},${vy}*(t-0.5)+${offset})'
  []
[]

[BCs]
  [push_left_x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 30
    function = horizontal_movement
    preset = false
  []
  [fix_right_x]
    type = DirichletBC
    variable = disp_x
    boundary = 40
    value = 0.0
  []
  [fix_right_y]
    type = DirichletBC
    variable = disp_y
    boundary = '40'
    value = 0.0
  []
  [push_left_y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = '30'
    function = vertical_movement
    preset = false
  []
[]

[Materials]
  [elasticity_tensor_left]
    type = ADComputeIsotropicElasticityTensor
    block = 1
    youngs_modulus = 1.0e6
    poissons_ratio = 0.3
  []
  [stress_left]
    type = ADComputeFiniteStrainElasticStress
    block = 1
  []
  [elasticity_tensor_right]
    type = ADComputeIsotropicElasticityTensor
    block = 2
    youngs_modulus = 1.0e6
    poissons_ratio = 0.3
  []
  [stress_right]
    type = ADComputeFiniteStrainElasticStress
    block = 2
  []
[]

[Contact]
  [leftright]
    secondary = 10
    primary = 20
    model = coulomb
    friction_coefficient = 0.2
    formulation = mortar
    c_normal = 1e5
    c_tangential = 1e4
  []
[]

[ICs]
  [disp_y]
    block = 1
    variable = disp_y
    value = ${offset}
    type = ConstantIC
  []
  [disp_x]
    block = 1
    variable = disp_x
    value = -${offset}
    type = ConstantIC
  []
[]

[Preconditioning]
  [FSP]
    type = FSP
    topsplit = 'contact_interior'
    [contact_interior]
      splitting = 'interior contact'
      splitting_type = schur
      petsc_options = '-snes_ksp_ew'
      petsc_options_iname = '-ksp_gmres_restart -pc_fieldsplit_schur_fact_type -mat_mffd_err'
      petsc_options_value = '200                full                           1e-5'
      schur_pre = 'S'
    []
    [interior]
      vars = 'disp_x disp_y'
      petsc_options_iname = '-ksp_type -pc_type -pc_hypre_type '
      petsc_options_value = 'gmres   hypre  boomeramg'
    []
    [contact]
      vars = 'leftright_normal_lm leftright_tangential_lm'
    []
  []
[]

[Executioner]
  type = Transient
  solve_type = 'PJFNK'
  dt = 0.1
  end_time = 1
  abort_on_solve_fail = true
  l_max_its = 200
  nl_abs_tol = 1e-8
  line_search = 'none'
  nl_max_its = 20
[]

[Outputs]
  exodus = true
[]

(test/tests/mortar/continuity-2d-conforming/conforming_two_var.i)

[Mesh]
  [file]
    type = FileMeshGenerator
    file = 2blk-conf.e
  []
  [secondary]
    input = file
    type = LowerDBlockFromSidesetGenerator
    sidesets = '101'
    new_block_id = '10001'
    new_block_name = 'secondary_lower'
  []
  [primary]
    input = secondary
    type = LowerDBlockFromSidesetGenerator
    sidesets = '100'
    new_block_id = '10000'
    new_block_name = 'primary_lower'
  []
[]

[Functions]
  [./exact_sln]
    type = ParsedFunction
    expression= y
  [../]
  [./ffn]
    type = ParsedFunction
    expression= 0
  [../]
[]

[Variables]
  [./u]
    order = FIRST
    family = LAGRANGE
    block = '1 2'
  [../]

  [./lm_u]
    order = FIRST
    family = LAGRANGE
    block = 'secondary_lower'
  [../]

  [./v]
    order = FIRST
    family = LAGRANGE
    block = '1 2'
  [../]

  [./lm_v]
    order = FIRST
    family = LAGRANGE
    block = 'secondary_lower'
  [../]

[]

[Kernels]
  [./diff_u]
    type = Diffusion
    variable = u
  [../]
  [./ffn]
    type = BodyForce
    variable = u
    function = ffn
  [../]
  [./diff_v]
    type = Diffusion
    variable = v
  [../]
  [./coupled_u]
    type = CoupledForce
    variable = v
    v = u
  [../]
[]

[Problem]
  extra_tag_vectors = 'ref'
[]

[Constraints]
  [./ced_u]
    type = EqualValueConstraint
    variable = lm_u
    secondary_variable = u
    primary_boundary = 100
    primary_subdomain = 10000
    secondary_boundary = 101
    secondary_subdomain = 10001
    absolute_value_vector_tags = 'ref'
  [../]
  [./ced_v]
    type = EqualValueConstraint
    variable = lm_v
    secondary_variable = v
    primary_boundary = 100
    primary_subdomain = 10000
    secondary_boundary = 101
    secondary_subdomain = 10001
    absolute_value_vector_tags = 'ref'
  [../]
[]

[BCs]
  [./all]
    type = FunctionDirichletBC
    variable = u
    boundary = '1 2 3 4'
    function = exact_sln
  [../]
  [./allv]
    type = DirichletBC
    variable = v
    boundary = '1 2 3 4'
    value = 0
  [../]
[]

[Postprocessors]
  [./l2_error]
    type = ElementL2Error
    variable = u
    function = exact_sln
    block = '1 2'
    execute_on = 'initial timestep_end'
  [../]
  [./l2_v]
    type = ElementL2Norm
    variable = v
    block = '1 2'
    execute_on = 'initial timestep_end'
  [../]
[]

[Preconditioning]
  [./fmp]
    type = SMP
    full = true
    solve_type = 'NEWTON'
  [../]
[]

[Executioner]
  type = Steady
  nl_rel_tol = 1e-12
  l_tol = 1e-12
[]

[Outputs]
  exodus = true
[]

(modules/solid_mechanics/test/tests/lagrangian/cartesian/updated/convergence/L/small.i)

[Mesh]
  type = FileMesh
  file = 'L.exo'
[]

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
  large_kinematics = false
[]

[Variables]
  [disp_x]
  []
  [disp_y]
  []
  [disp_z]
  []
[]

[Functions]
  [pfn]
    type = PiecewiseLinear
    x = '0    1    2'
    y = '0.00 0.3 0.5'
  []
[]

[Kernels]
  [sdx]
    type = UpdatedLagrangianStressDivergence
    variable = disp_x
    component = 0
  []
  [sdy]
    type = UpdatedLagrangianStressDivergence
    variable = disp_y
    component = 1
  []
  [sdz]
    type = UpdatedLagrangianStressDivergence
    variable = disp_z
    component = 2
  []
[]

[BCs]
  [left]
    type = DirichletBC
    preset = true
    variable = disp_x
    boundary = fix
    value = 0.0
  []

  [bottom]
    type = DirichletBC
    preset = true
    variable = disp_y
    boundary = fix
    value = 0.0
  []

  [back]
    type = DirichletBC
    preset = true
    variable = disp_z
    boundary = fix
    value = 0.0
  []

  [front]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = pull
    function = pfn
    preset = true
  []
[]

[Materials]
  [elastic_tensor]
    type = ComputeIsotropicElasticityTensor
    youngs_modulus = 100000.0
    poissons_ratio = 0.25
  []
  [compute_stress]
    type = ComputeLagrangianLinearElasticStress
  []
  [compute_strain]
    type = ComputeLagrangianStrain
  []
[]

[Preconditioning]
  [smp]
    type = SMP
    full = true
  []
[]

[Executioner]
  type = Transient

  solve_type = 'newton'

  petsc_options_iname = -pc_type
  petsc_options_value = lu

  nl_abs_tol = 1e-10
  nl_rel_tol = 1e-8

  end_time = 1.0
  dtmin = 0.5
  dt = 0.5
[]

[Postprocessors]
  [nonlin]
    type = NumNonlinearIterations
  []
[]

[Outputs]
  exodus = false
  csv = true
[]

(python/peacock/tests/common/oversample.i)

###########################################################
# This is a simple test with a time-dependent problem
# demonstrating the use of a "Transient" Executioner.
#
# @Requirement F1.10
###########################################################


[Mesh]
  type = GeneratedMesh
  dim = 2
  xmin = -1
  xmax = 1
  ymin = -1
  ymax = 1
  nx = 10
  ny = 10
  elem_type = QUAD4
[]

[Variables]
  active = 'u'

  [./u]
    order = FIRST
    family = LAGRANGE

    [./InitialCondition]
      type = ConstantIC
      value = 0
    [../]
  [../]
[]

[Functions]
  [./forcing_fn]
    type = ParsedFunction
    # dudt = 3*t^2*(x^2 + y^2)
    expression = 3*t*t*((x*x)+(y*y))-(4*t*t*t)
  [../]

  [./exact_fn]
    type = ParsedFunction
    expression = t*t*t*((x*x)+(y*y))
  [../]
[]

[Kernels]
  active = 'diff ie ffn'

  [./ie]
    type = TimeDerivative
    variable = u
  [../]

  [./diff]
    type = Diffusion
    variable = u
  [../]

  [./ffn]
    type = BodyForce
    variable = u
    function = forcing_fn
  [../]
[]

[BCs]
  active = 'all'

  [./all]
    type = FunctionDirichletBC
    variable = u
    boundary = '0 1 2 3'
    function = exact_fn
  [../]

  [./left]
    type = DirichletBC
    variable = u
    boundary = 3
    value = 0
  [../]

  [./right]
    type = DirichletBC
    variable = u
    boundary = 1
    value = 1
  [../]
[]

[Postprocessors]
  [./l2_err]
    type = ElementL2Error
    variable = u
    function = exact_fn
  [../]

  [./dt]
    type = TimestepSize
  [../]
[]

[Executioner]
  type = Transient
  scheme = 'implicit-euler'

  # Preconditioned JFNK (default)
  solve_type = 'PJFNK'

  start_time = 0.0
  num_steps = 5
  dt = 0.1
[]

[Outputs]
  execute_on = 'timestep_end'
  file_base = out_transient
  exodus = true
  [./refine_2]
    type = Exodus
    file_base = oversample_2
    refinements = 2
  [../]
[]

(modules/heat_transfer/test/tests/gap_heat_transfer_htonly/gap_heat_transfer_htonly_test.i)

#
# 1-D Gap Heat Transfer Test without mechanics
#
# This test exercises 1-D gap heat transfer for a constant conductivity gap.
#
# The mesh consists of two element blocks containing one element each.  Each
#   element is a unit cube.  They sit next to one another with a unit between them.
#
# The conductivity of both blocks is set very large to achieve a uniform temperature
#  across each block. The temperature of the far left boundary
#  is ramped from 100 to 200 over one time unit.  The temperature of the far right
#  boundary is held fixed at 100.
#
# A simple analytical solution is possible for the heat flux between the blocks:
#
#  Flux = (T_left - T_right) * (gapK/gap_width)
#
# The gap conductivity is specified as 1, thus
#
#  gapK(Tavg) = 1.0*Tavg
#
#
# The heat flux across the gap at time = 1 is then:
#
#  Flux(2) = 100 * (1.0/1.0) = 100
#
# For comparison, see results from the flux post processors
#
# This test has been augmented with a second scalar field that solves nearly
#   the same problem.  The conductivity has been changed to 10.  Thus, the
#   flux for the second field is 1000.
#


[Mesh]
  file = gap_heat_transfer_htonly_test.e
[]

[Functions]

  [./temp]
    type = PiecewiseLinear
    x = '0   1   2'
    y = '100 200 200'
  [../]
[]

[ThermalContact]
  [./thermal_contact]
    type = GapHeatTransfer
    variable = temp
    primary = 3
    secondary = 2
    emissivity_primary = 0
    emissivity_secondary = 0
  [../]
  [./awesomium_contact]
    type = GapHeatTransfer
    variable = awesomium
    primary = 3
    secondary = 2
    emissivity_primary = 0
    emissivity_secondary = 0
    gap_conductivity = 10
    appended_property_name = _awesomium
  [../]
[]

[Variables]
  [./temp]
    order = FIRST
    family = LAGRANGE
    initial_condition = 100
  [../]
  [./awesomium]
    order = FIRST
    family = LAGRANGE
    initial_condition = 100
  [../]
[]

[AuxVariables]
  [./gap_cond]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./gap_cond_awesomium]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]

[Kernels]
  [./heat]
    type = HeatConduction
    variable = temp
  [../]
  [./awe]
    type = HeatConduction
    variable = awesomium
  [../]
[]


[BCs]
  [./temp_far_left]
    type = FunctionDirichletBC
    boundary = 1
    variable = temp
    function = temp
  [../]
  [./temp_far_right]
    type = DirichletBC
    boundary = 4
    variable = temp
    value = 100
  [../]
  [./awesomium_far_left]
    type = FunctionDirichletBC
    boundary = 1
    variable = awesomium
    function = temp
  [../]
  [./awesomium_far_right]
    type = DirichletBC
    boundary = 4
    variable = awesomium
    value = 100
  [../]
[]

[AuxKernels]
  [./conductance]
    type = MaterialRealAux
    property = gap_conductance
    variable = gap_cond
    boundary = 2
  [../]
  [./conductance_awe]
    type = MaterialRealAux
    property = gap_conductance_awesomium
    variable = gap_cond_awesomium
    boundary = 2
  [../]
[]

[Materials]

  [./heat1]
    type = HeatConductionMaterial
    block = '1 2'
    specific_heat = 1.0
    thermal_conductivity = 100000000.0
  [../]
  [./density]
    type = GenericConstantMaterial
    block = '1 2'
    prop_names = 'density'
    prop_values = '1.0'
  [../]
[]

[Executioner]
  type = Transient

  solve_type = 'PJFNK'
  petsc_options_iname = '-ksp_gmres_restart -pc_type -pc_hypre_type -pc_hypre_boomeramg_max_iter'
  petsc_options_value = '201                hypre    boomeramg      4'

  line_search = 'none'
  nl_rel_tol = 1e-12
  l_tol = 1e-3
  l_max_its = 100

  dt = 1e-1
  end_time = 1.0
[]

[Postprocessors]

  [./temp_left]
    type = SideAverageValue
    boundary = 2
    variable = temp
    execute_on = 'initial timestep_end'
  [../]

  [./temp_right]
    type = SideAverageValue
    boundary = 3
    variable = temp
    execute_on = 'initial timestep_end'
  [../]

  [./flux_left]
    type = SideDiffusiveFluxIntegral
    variable = temp
    boundary = 2
    diffusivity = thermal_conductivity
    execute_on = 'initial timestep_end'
  [../]

  [./flux_right]
    type = SideDiffusiveFluxIntegral
    variable = temp
    boundary = 3
    diffusivity = thermal_conductivity
    execute_on = 'initial timestep_end'
  [../]

  [./awe_left]
    type = SideAverageValue
    boundary = 2
    variable = awesomium
    execute_on = 'initial timestep_end'
  [../]

  [./awe_right]
    type = SideAverageValue
    boundary = 3
    variable = awesomium
    execute_on = 'initial timestep_end'
  [../]

  [./awe_flux_left]
    type = SideDiffusiveFluxIntegral
    variable = awesomium
    boundary = 2
    diffusivity = thermal_conductivity
    execute_on = 'initial timestep_end'
  [../]

  [./awe_flux_right]
    type = SideDiffusiveFluxIntegral
    variable = awesomium
    boundary = 3
    diffusivity = thermal_conductivity
    execute_on = 'initial timestep_end'
  [../]
[]

[Outputs]
  exodus = true
[]

(modules/contact/test/tests/mortar_tm/horizontal_blocks_mortar_TM.i)

offset = 0.01

[GlobalParams]
  displacements = 'disp_x disp_y'
  volumetric_locking_correction = true
[]

[Mesh]
  [./left_block]
    type = GeneratedMeshGenerator
    dim = 2
    xmin = -1.0
    xmax = 0.0
    ymin = -0.5
    ymax = 0.5
    nx = 1
    ny = 1
    elem_type = QUAD4
    boundary_name_prefix = lb
  [../]
  [./left_block_id]
    type = SubdomainIDGenerator
    input = left_block
    subdomain_id = 1
  [../]

  [./right_block]
    type = GeneratedMeshGenerator
    dim = 2
    xmin = 0.0
    xmax = 1.0
    ymin = -0.6
    ymax = 0.6
    nx = 1
    ny = 1
    elem_type = QUAD4
    boundary_name_prefix = rb
    boundary_id_offset = 10
  [../]
  [./right_block_id]
    type = SubdomainIDGenerator
    input = right_block
    subdomain_id = 2
  [../]

  [./combined]
    type = MeshCollectionGenerator
    inputs = 'left_block_id right_block_id'
  [../]
  [./block_rename]
    type = RenameBlockGenerator
    input = combined
    old_block = '1 2'
    new_block = 'left_block right_block'
  [../]
[]

[Physics/SolidMechanics/QuasiStatic]
  [./all]
    strain = FINITE
    incremental = true
    add_variables = true
    block = '1 2'
  [../]
[]

[Functions]
  [./horizontal_movement]
    type = ParsedFunction
    expression = t/10.0
  [../]
[]

[BCs]
  [./push_x]
    type = FunctionDirichletBC
    preset = true
    variable = disp_x
    boundary = lb_left
    function = horizontal_movement
  [../]
  [./fix_x]
    type = DirichletBC
    preset = true
    variable = disp_x
    boundary = rb_right
    value = 0.0
  [../]
  [./fix_y]
    type = DirichletBC
    preset = true
    variable = disp_y
    boundary = rb_right
    value = 0.0
  [../]
  [./fix_y_offset]
    type = DirichletBC
    preset = true
    variable = disp_y
    boundary = lb_left
    value = ${offset}
  [../]
[]

[Materials]
  [./elasticity_tensor_left]
    type = ComputeIsotropicElasticityTensor
    block = left_block
    youngs_modulus = 1.0e6
    poissons_ratio = 0.3
  [../]
  [./stress_left]
    type = ComputeFiniteStrainElasticStress
    block = 1
  [../]

  [./elasticity_tensor_right]
    type = ComputeIsotropicElasticityTensor
    block = right_block
    youngs_modulus = 1.0e6
    poissons_ratio = 0.3
  [../]
  [./stress_right]
    type = ComputeFiniteStrainElasticStress
    block = right_block
  [../]
[]

[Contact]
  [./leftright]
    secondary = lb_right
    primary = rb_left

    model = frictionless
    formulation = mortar

    friction_coefficient = 0.0

    normal_smoothing_distance = 0.1

    penalty = 1e+8
    normalize_penalty = true
  [../]
[]

[ICs]
  [./disp_x]
    type = ConstantIC
    block = left_block
    variable = disp_x
    value = -${offset}
  [../]
  [./disp_y]
    block = left_block
    variable = disp_y
    value = ${offset}
    type = ConstantIC
  [../]
[]

[Preconditioning]
  [./smp]
    type = SMP
    full = true
  [../]
[]

[Executioner]
  type = Transient
  solve_type = 'PJFNK'

  petsc_options_iname = '-pc_type -mat_mffd_err -pc_factor_shift_type -pc_factor_shift_amount -snes_max_it'
  petsc_options_value = 'lu       1e-5          NONZERO               1e-15                   20'

  dt = 0.1
  dtmin = 0.1
  end_time = 0.1

  l_tol = 1e-4
  l_max_its = 100

  nl_rel_tol = 1e-10
  nl_abs_tol = 1e-6
  nl_max_its = 100
[]

(modules/solid_mechanics/test/tests/static_deformations/layered_cosserat_01.i)

# apply uniform stretches and observe the stresses
# with
# young = 0.7
# poisson = 0.2
# layer_thickness = 0.1
# joint_normal_stiffness = 0.25
# joint_shear_stiffness = 0.2
# then
# a0000 = 0.730681
# a0011 = 0.18267
# a2222 = 0.0244221
# a0022 = 0.006055
# a0101 = 0.291667
# a66 = 0.018717
# a77 = 0.310383
# b0110 = 0.000534
# b0101 = 0.000107
# and with
# strain_xx = 1
# strain_yy = 2
# strain_zz = 3
# then
# stress_xx = a0000*1 + a0011*2 + a0022*3 = 1.114187
# stress_yy = a0011*1 + a0000*2 + a0022*3 = 1.662197
# stress_zz = a0022*(1+2) + a2222*3 = 0.09083
# and all others zero
[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  ymax = 1
  nz = 1
[]

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
  Cosserat_rotations = 'wc_x wc_y wc_z'
[]

[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
  [./wc_x]
  [../]
  [./wc_y]
  [../]
[]

[Kernels]
  [./cx_elastic]
    type = CosseratStressDivergenceTensors
    variable = disp_x
    component = 0
  [../]
  [./cy_elastic]
    type = CosseratStressDivergenceTensors
    variable = disp_y
    component = 1
  [../]
  [./cz_elastic]
    type = CosseratStressDivergenceTensors
    variable = disp_z
    component = 2
  [../]
  [./x_couple]
    type = StressDivergenceTensors
    variable = wc_x
    displacements = 'wc_x wc_y wc_z'
    component = 0
    base_name = couple
  [../]
  [./y_couple]
    type = StressDivergenceTensors
    variable = wc_y
    displacements = 'wc_x wc_y wc_z'
    component = 1
    base_name = couple
  [../]
  [./x_moment]
    type = MomentBalancing
    variable = wc_x
    component = 0
  [../]
  [./y_moment]
    type = MomentBalancing
    variable = wc_y
    component = 1
  [../]
[]

[BCs]
  # zmin is called back
  # zmax is called front
  # ymin is called bottom
  # ymax is called top
  # xmin is called left
  # xmax is called right
  [./strain_xx]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'left right'
    function = x
  [../]
  [./strain_yy]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'bottom top'
    function = 2*y
  [../]
  [./strain_zz]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'back front'
    function = 3*z
  [../]
[]

[AuxVariables]
  [./wc_z]
  [../]
  [./stress_xx]
    family = MONOMIAL
    order = CONSTANT
  [../]
  [./stress_xy]
    family = MONOMIAL
    order = CONSTANT
  [../]
  [./stress_xz]
    family = MONOMIAL
    order = CONSTANT
  [../]
  [./stress_yx]
    family = MONOMIAL
    order = CONSTANT
  [../]
  [./stress_yy]
    family = MONOMIAL
    order = CONSTANT
  [../]
  [./stress_yz]
    family = MONOMIAL
    order = CONSTANT
  [../]
  [./stress_zx]
    family = MONOMIAL
    order = CONSTANT
  [../]
  [./stress_zy]
    family = MONOMIAL
    order = CONSTANT
  [../]
  [./stress_zz]
    family = MONOMIAL
    order = CONSTANT
  [../]
  [./couple_stress_xx]
    family = MONOMIAL
    order = CONSTANT
  [../]
  [./couple_stress_xy]
    family = MONOMIAL
    order = CONSTANT
  [../]
  [./couple_stress_xz]
    family = MONOMIAL
    order = CONSTANT
  [../]
  [./couple_stress_yx]
    family = MONOMIAL
    order = CONSTANT
  [../]
  [./couple_stress_yy]
    family = MONOMIAL
    order = CONSTANT
  [../]
  [./couple_stress_yz]
    family = MONOMIAL
    order = CONSTANT
  [../]
  [./couple_stress_zx]
    family = MONOMIAL
    order = CONSTANT
  [../]
  [./couple_stress_zy]
    family = MONOMIAL
    order = CONSTANT
  [../]
  [./couple_stress_zz]
    family = MONOMIAL
    order = CONSTANT
  [../]
[]

[AuxKernels]
  [./stress_xx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xx
    index_i = 0
    index_j = 0
  [../]
  [./stress_xy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xy
    index_i = 0
    index_j = 1
  [../]
  [./stress_xz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xz
    index_i = 0
    index_j = 2
  [../]
  [./stress_yx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yx
    index_i = 1
    index_j = 0
  [../]
  [./stress_yy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yy
    index_i = 1
    index_j = 1
  [../]
  [./stress_yz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yz
    index_i = 1
    index_j = 2
  [../]
  [./stress_zx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zx
    index_i = 2
    index_j = 0
  [../]
  [./stress_zy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zy
    index_i = 2
    index_j = 1
  [../]
  [./stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zz
    index_i = 2
    index_j = 2
  [../]
  [./couple_stress_xx]
    type = RankTwoAux
    rank_two_tensor = couple_stress
    variable = couple_stress_xx
    index_i = 0
    index_j = 0
  [../]
  [./couple_stress_xy]
    type = RankTwoAux
    rank_two_tensor = couple_stress
    variable = couple_stress_xy
    index_i = 0
    index_j = 1
  [../]
  [./couple_stress_xz]
    type = RankTwoAux
    rank_two_tensor = couple_stress
    variable = couple_stress_xz
    index_i = 0
    index_j = 2
  [../]
  [./couple_stress_yx]
    type = RankTwoAux
    rank_two_tensor = couple_stress
    variable = couple_stress_yx
    index_i = 1
    index_j = 0
  [../]
  [./couple_stress_yy]
    type = RankTwoAux
    rank_two_tensor = couple_stress
    variable = couple_stress_yy
    index_i = 1
    index_j = 1
  [../]
  [./couple_stress_yz]
    type = RankTwoAux
    rank_two_tensor = couple_stress
    variable = couple_stress_yz
    index_i = 1
    index_j = 2
  [../]
  [./couple_stress_zx]
    type = RankTwoAux
    rank_two_tensor = couple_stress
    variable = couple_stress_zx
    index_i = 2
    index_j = 0
  [../]
  [./couple_stress_zy]
    type = RankTwoAux
    rank_two_tensor = couple_stress
    variable = couple_stress_zy
    index_i = 2
    index_j = 1
  [../]
  [./couple_stress_zz]
    type = RankTwoAux
    rank_two_tensor = couple_stress
    variable = couple_stress_zz
    index_i = 2
    index_j = 2
  [../]
[]

[Postprocessors]
  [./s_xx]
    type = PointValue
    point = '0 0 0'
    variable = stress_xx
  [../]
  [./s_xy]
    type = PointValue
    point = '0 0 0'
    variable = stress_xy
  [../]
  [./s_xz]
    type = PointValue
    point = '0 0 0'
    variable = stress_xz
  [../]
  [./s_yx]
    type = PointValue
    point = '0 0 0'
    variable = stress_yx
  [../]
  [./s_yy]
    type = PointValue
    point = '0 0 0'
    variable = stress_yy
  [../]
  [./s_yz]
    type = PointValue
    point = '0 0 0'
    variable = stress_yz
  [../]
  [./s_zx]
    type = PointValue
    point = '0 0 0'
    variable = stress_zx
  [../]
  [./s_zy]
    type = PointValue
    point = '0 0 0'
    variable = stress_zy
  [../]
  [./s_zz]
    type = PointValue
    point = '0 0 0'
    variable = stress_zz
  [../]
  [./c_s_xx]
    type = PointValue
    point = '0 0 0'
    variable = couple_stress_xx
  [../]
  [./c_s_xy]
    type = PointValue
    point = '0 0 0'
    variable = couple_stress_xy
  [../]
  [./c_s_xz]
    type = PointValue
    point = '0 0 0'
    variable = couple_stress_xz
  [../]
  [./c_s_yx]
    type = PointValue
    point = '0 0 0'
    variable = couple_stress_yx
  [../]
  [./c_s_yy]
    type = PointValue
    point = '0 0 0'
    variable = couple_stress_yy
  [../]
  [./c_s_yz]
    type = PointValue
    point = '0 0 0'
    variable = couple_stress_yz
  [../]
  [./c_s_zx]
    type = PointValue
    point = '0 0 0'
    variable = couple_stress_zx
  [../]
  [./c_s_zy]
    type = PointValue
    point = '0 0 0'
    variable = couple_stress_zy
  [../]
  [./c_s_zz]
    type = PointValue
    point = '0 0 0'
    variable = couple_stress_zz
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeLayeredCosseratElasticityTensor
    young = 0.7
    poisson = 0.2
    layer_thickness = 0.1
    joint_normal_stiffness = 0.25
    joint_shear_stiffness = 0.2
  [../]
  [./strain]
    type = ComputeCosseratSmallStrain
  [../]
  [./stress]
    type = ComputeCosseratLinearElasticStress
  [../]
[]

[Preconditioning]
  [./andy]
    type = SMP
    full = true
    petsc_options_iname = '-ksp_type -pc_type -sub_pc_type -snes_atol -snes_rtol -snes_max_it -ksp_atol -ksp_rtol'
    petsc_options_value = 'gmres asm lu 1E-10 1E-14 10 1E-15 1E-10'
  [../]
[]

[Executioner]
  type = Transient
  solve_type = Newton
  num_steps = 1
[]

[Outputs]
  execute_on = 'timestep_end'
  file_base = layered_cosserat_01
  csv = true
[]

(modules/solid_mechanics/test/tests/2D_geometries/2D-RZ_finiteStrain_resid.i)

# This tests the save_in_disp residual aux-variables for
# ComputeAxisymmetricRZFiniteStrain, which is generated through the use of the
# SolidMechanics QuasiStatic Physics. The GeneratedMesh is 1x1, rotated via axisym to
# create a cylinder of height 1, radius 1.
#
# PostProcessor force_z plots the force on the top surface of the cylinder.
#
# Displacement of 0.1 is applied to top of cylinder while other surfaces are
# constrained. Plotting force_z vs stress_z will show a slope of 3.14159 (pi),
# consistent with formula for normal stress:
#
# Stress = force / area
#
# where area is A = pi * r^2 for a circle.

[Mesh]
  type = GeneratedMesh
  dim = 2
  nx = 5
  ny = 5
  xmin = 0.0
  xmax = 1.0
  ymin = 0.0
  ymax = 1.0
[]

[GlobalParams]
  displacements = 'disp_r disp_z'
[]

[Problem]
  coord_type = RZ
[]

[Physics/SolidMechanics/QuasiStatic]
  [./all]
    strain = FINITE
    add_variables = true
    save_in = 'force_r force_z'
  [../]
[]

[AuxVariables]
  [./stress_r]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./strain_r]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_z]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./strain_z]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./force_r]
    order = FIRST
    family = LAGRANGE
  [../]
  [./force_z]
    order = FIRST
    family = LAGRANGE
  [../]
[]

[AuxKernels]
  [./stress_r]
    type = RankTwoAux
    rank_two_tensor = stress
    index_i = 0
    index_j = 0
    variable = stress_r
    execute_on = timestep_end
  [../]
  [./strain_r]
    type = RankTwoAux
    rank_two_tensor = total_strain
    index_i = 0
    index_j = 0
    variable = strain_r
    execute_on = timestep_end
  [../]
  [./stress_z]
    type = RankTwoAux
    rank_two_tensor = stress
    index_i = 1
    index_j = 1
    variable = stress_z
    execute_on = timestep_end
  [../]
  [./strain_z]
    type = RankTwoAux
    rank_two_tensor = total_strain
    index_i = 1
    index_j = 1
    variable = strain_z
    execute_on = timestep_end
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeIsotropicElasticityTensor
    youngs_modulus = 1e6
    poissons_ratio = 0.3
  [../]

  [./_elastic_strain]
    type = ComputeFiniteStrainElasticStress
  [../]
[]

[BCs]
  [./no_disp_r_left]
    type = DirichletBC
    variable = disp_r
    boundary = left
    value = 0.0
  [../]
  [./no_disp_r_right]
    type = DirichletBC
    variable = disp_r
    boundary = right
    value = 0.0
  [../]
  [./no_disp_z_bottom]
    type = DirichletBC
    variable = disp_z
    boundary = bottom
    value = 0.0
  [../]
  [./top]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = top
    function = 't'
  [../]
[]

[Debug]
    show_var_residual_norms = true
[]

[Executioner]
  type = Transient

  petsc_options_iname = '-ksp_gmres_restart -pc_type -pc_hypre_type -pc_hypre_boomeramg_max_iter'
  petsc_options_value = '  201               hypre    boomeramg      10'

  line_search = 'none'

  #Preconditioned JFNK (default)
  solve_type = 'PJFNK'

  nl_rel_tol = 5e-9
  nl_abs_tol = 1e-10
  nl_max_its = 15

  l_tol = 1e-3
  l_max_its = 50

  start_time = 0.0
  end_time = 0.1
  dt = 0.01
[]

[Postprocessors]
  [./strainR]
    type = ElementAverageValue
    variable = strain_r
  [../]
  [./stressR]
    type = ElementAverageValue
    variable = stress_r
  [../]
  [./strainZ]
    type = ElementAverageValue
    variable = strain_z
  [../]
  [./stressZ]
    type = ElementAverageValue
    variable = stress_z
  [../]
  [./force_r]
    type = NodalSum
    variable = force_r
    boundary = top
  [../]
  [./force_z]
    type = NodalSum
    variable = force_z
    boundary = top
  [../]
[]

[Outputs]
  exodus = true
  #csv = true
  print_linear_residuals = false
  perf_graph = true
[]

(modules/contact/test/tests/pdass_problems/cylinder_friction_penalty_frictional_al.i)

[GlobalParams]
  volumetric_locking_correction = true
  displacements = 'disp_x disp_y'
[]

[Mesh]
  [input_file]
    type = FileMeshGenerator
    file = hertz_cyl_finer.e
  []
  [secondary]
    type = LowerDBlockFromSidesetGenerator
    new_block_id = 10001
    new_block_name = 'secondary_lower'
    sidesets = '3'
    input = input_file
  []
  [primary]
    type = LowerDBlockFromSidesetGenerator
    new_block_id = 10000
    sidesets = '2'
    new_block_name = 'primary_lower'
    input = secondary
  []
  allow_renumbering = false
[]

[Problem]
  type = AugmentedLagrangianContactFEProblem
  extra_tag_vectors = 'ref'
[]

[AuxVariables]
  [penalty_normal_pressure]
  []
  [penalty_frictional_pressure]
  []
  [accumulated_slip_one]
  []
  [tangential_vel_one]
  []
  [normal_gap]
  []
  [normal_lm]
  []
  [saved_x]
  []
  [saved_y]
  []
  [active]
  []
  [dual_var]
    use_dual = true
    block = '10001'
  []
[]

[Functions]
  [disp_ramp_vert]
    type = PiecewiseLinear
    x = '0. 1. 3.5'
    y = '0. -0.020 -0.020'
  []
  [disp_ramp_horz]
    type = PiecewiseLinear
    x = '0. 1. 3.5'
    y = '0. 0.0 0.015'
  []
[]

[Physics/SolidMechanics/QuasiStatic/all]
  strain = FINITE
  add_variables = true
  save_in = 'saved_x saved_y'
  extra_vector_tags = 'ref'
  block = '1 2 3 4 5 6 7'
  generate_output = 'stress_xx stress_yy stress_xy'
[]

[AuxKernels]
  [penalty_normal_pressure]
    type = PenaltyMortarUserObjectAux
    variable = penalty_normal_pressure
    user_object = friction_uo
    contact_quantity = normal_pressure
    boundary = 3
  []
  [penalty_frictional_pressure]
    type = PenaltyMortarUserObjectAux
    variable = penalty_frictional_pressure
    user_object = friction_uo
    contact_quantity = tangential_pressure_one
    boundary = 3
  []
  [penalty_tangential_vel_one]
    type = PenaltyMortarUserObjectAux
    variable = tangential_vel_one
    user_object = friction_uo
    contact_quantity = tangential_velocity_one
    boundary = 3
  []
  [penalty_accumulated_slip_one]
    type = PenaltyMortarUserObjectAux
    variable = accumulated_slip_one
    user_object = friction_uo
    contact_quantity = accumulated_slip_one
    boundary = 3
  []
  [normal_lm]
    type = PenaltyMortarUserObjectAux
    variable = normal_lm
    user_object = friction_uo
    contact_quantity = normal_lm
    boundary = 3
  []
  [normal_gap]
    type = PenaltyMortarUserObjectAux
    variable = normal_gap
    user_object = friction_uo
    contact_quantity = normal_gap
    boundary = 3
  []
[]

[Postprocessors]
  [bot_react_x]
    type = NodalSum
    variable = saved_x
    boundary = 1
  []
  [bot_react_y]
    type = NodalSum
    variable = saved_y
    boundary = 1
  []
  [top_react_x]
    type = NodalSum
    variable = saved_x
    boundary = 4
  []
  [top_react_y]
    type = NodalSum
    variable = saved_y
    boundary = 4
  []
  [_dt]
    type = TimestepSize
  []
  [num_lin_it]
    type = NumLinearIterations
  []
  [num_nonlin_it]
    type = NumNonlinearIterations
  []
  [cumulative]
    type = CumulativeValuePostprocessor
    postprocessor = num_nonlin_it
  []
  [gap]
    type = SideExtremeValue
    value_type = min
    variable = normal_gap
    boundary = 3
  []
  [num_al]
    type = NumAugmentedLagrangeIterations
  []
  [active_set_size]
    type = NodalSum
    variable = active
  []
[]

[BCs]
  [side_x]
    type = DirichletBC
    variable = disp_y
    boundary = '1 2'
    value = 0.0
  []
  [bot_y]
    type = DirichletBC
    variable = disp_x
    boundary = '1 2'
    value = 0.0
  []
  [top_y_disp]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 4
    function = disp_ramp_vert
  []
  [top_x_disp]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 4
    function = disp_ramp_horz
  []
[]

[Materials]
  [stuff1_elas_tens]
    type = ComputeIsotropicElasticityTensor
    block = '1'
    youngs_modulus = 1e8
    poissons_ratio = 0.0
  []
  [stuff1_stress]
    type = ComputeFiniteStrainElasticStress
    block = '1'
  []
  [stuff2_elas_tens]
    type = ComputeIsotropicElasticityTensor
    block = '2 3 4 5 6 7'
    youngs_modulus = 1e6
    poissons_ratio = 0.3
  []
  [stuff2_stress]
    type = ComputeFiniteStrainElasticStress
    block = '2 3 4 5 6 7'
  []
[]

[Executioner]
  type = Transient
  solve_type = 'NEWTON'

  petsc_options = '-snes_ksp_ew'
  petsc_options_iname = -pc_type
  petsc_options_value = lu
  line_search = 'basic'

  nl_abs_tol = 1e-10
  nl_rel_tol = 1e-8
  nl_max_its = 50
  l_tol = 1e-05
  l_abs_tol = 1e-13

  start_time = 0.0
  end_time = 0.2 # 3.5
  dt = 0.1
  dtmin = 0.1

  [Predictor]
    type = SimplePredictor
    scale = 1.0
  []

  automatic_scaling = true
  compute_scaling_once = false
  off_diagonals_in_auto_scaling = true
[]

[Preconditioning]
  [SMP]
    type = SMP
    full = true
  []
[]

[VectorPostprocessors]
  [surface]
    type = NodalValueSampler
    use_displaced_mesh = false
    variable = 'disp_x disp_y penalty_normal_pressure penalty_frictional_pressure normal_gap'
    boundary = '3'
    sort_by = id
  []
[]

[Outputs]
  print_linear_residuals = true
  perf_graph = true
  exodus = true
  csv = false
  [vectorpp_output]
    type = CSV
    create_final_symlink = true
    execute_on = 'INITIAL TIMESTEP_END FINAL'
  []
[]

[UserObjects]
  [friction_uo]
    type = PenaltyFrictionUserObject
    primary_boundary = '2'
    secondary_boundary = '3'
    primary_subdomain = '10000'
    secondary_subdomain = '10001'
    disp_x = disp_x
    disp_y = disp_y
    penalty = 1e5
    penalty_friction = 1e8
    secondary_variable = disp_x
    friction_coefficient = 0.4
    penetration_tolerance = 1e-7
    # Not solving the frictional problem tightly (below)
    slip_tolerance = 1 # 1e-6
    penalty_multiplier = 100
    penalty_multiplier_friction = 1
    use_physical_gap = true
    aux_lm = dual_var
  []
[]

[Constraints]
  [x]
    type = NormalMortarMechanicalContact
    primary_boundary = '2'
    secondary_boundary = '3'
    primary_subdomain = '10000'
    secondary_subdomain = '10001'
    secondary_variable = disp_x
    component = x
    use_displaced_mesh = true
    compute_lm_residuals = false
    weighted_gap_uo = friction_uo
  []
  [y]
    type = NormalMortarMechanicalContact
    primary_boundary = '2'
    secondary_boundary = '3'
    primary_subdomain = '10000'
    secondary_subdomain = '10001'
    secondary_variable = disp_y
    component = y
    use_displaced_mesh = true
    compute_lm_residuals = false
    weighted_gap_uo = friction_uo
  []
  [tangential_x]
    type = TangentialMortarMechanicalContact
    primary_boundary = 2
    secondary_boundary = 3
    primary_subdomain = 10000
    secondary_subdomain = 10001
    secondary_variable = disp_x
    component = x
    use_displaced_mesh = true
    compute_lm_residuals = false
    weighted_velocities_uo = friction_uo
  []
  [tangential_y]
    type = TangentialMortarMechanicalContact
    primary_boundary = 2
    secondary_boundary = 3
    primary_subdomain = 10000
    secondary_subdomain = 10001
    secondary_variable = disp_y
    component = y
    use_displaced_mesh = true
    compute_lm_residuals = false
    weighted_velocities_uo = friction_uo
  []
[]

(modules/contact/test/tests/mechanical_constraint/frictionless_penalty.i)

[Mesh]
  file = blocks_2d.e
[]

[GlobalParams]
  volumetric_locking_correction = false
  displacements = 'disp_x disp_y'
[]

[AuxVariables]
  [./penetration]
  [../]
  [./inc_slip_x]
  [../]
  [./inc_slip_y]
  [../]
  [./accum_slip_x]
  [../]
  [./accum_slip_y]
  [../]
[]

[Functions]
  [./vertical_movement]
    type = ParsedFunction
    expression = -t
  [../]
[]

[Physics/SolidMechanics/QuasiStatic]
  [./all]
    add_variables = true
    strain = FINITE
  [../]
[]

[AuxKernels]
  [./zeroslip_x]
    type = ConstantAux
    variable = inc_slip_x
    boundary = 3
    execute_on = timestep_begin
    value = 0.0
  [../]
  [./zeroslip_y]
    type = ConstantAux
    variable = inc_slip_y
    boundary = 3
    execute_on = timestep_begin
    value = 0.0
  [../]
  [./accum_slip_x]
    type = AccumulateAux
    variable = accum_slip_x
    accumulate_from_variable = inc_slip_x
    execute_on = timestep_end
  [../]
  [./accum_slip_y]
    type = AccumulateAux
    variable = accum_slip_y
    accumulate_from_variable = inc_slip_y
    execute_on = timestep_end
  [../]
  [./penetration]
    type = PenetrationAux
    variable = penetration
    boundary = 3
    paired_boundary = 2
  [../]
[]

[BCs]
  [./left_x]
    type = DirichletBC
    variable = disp_x
    boundary = 1
    value = 0.0
  [../]
  [./left_y]
    type = DirichletBC
    variable = disp_y
    boundary = 1
    value = 0.0
  [../]
  [./right_x]
    type = DirichletBC
    variable = disp_x
    boundary = 4
    #Initial gap is 0.01
    value = -0.02
  [../]
  [./right_y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 4
    function = vertical_movement
  [../]
[]

[Materials]
  [./left]
    type = ComputeIsotropicElasticityTensor
    block = '1'
    youngs_modulus = 1e7
    poissons_ratio = 0.3
  [../]
  [./right]
    type = ComputeIsotropicElasticityTensor
    block = '2'
    youngs_modulus = 1e6
    poissons_ratio = 0.3
  [../]
  [./stress]
    type = ComputeFiniteStrainElasticStress
    block = '1 2'
  [../]
[]

[Executioner]
  type = Transient

  solve_type = 'PJFNK'

  petsc_options_iname = '-pc_type'
  petsc_options_value = 'lu'

  line_search = 'none'

  l_max_its = 100
  nl_max_its = 1000
  dt = 0.01
  end_time = 0.10
  num_steps = 1000
  l_tol = 1e-6
  nl_rel_tol = 1e-10
  nl_abs_tol = 1e-8
  dtmin = 0.01

  [./Predictor]
    type = SimplePredictor
    scale = 1.0
  [../]
[]

[Outputs]
  [./out]
    type = Exodus
    elemental_as_nodal = true
  [../]
  [./console]
    type = Console
    max_rows = 5
  [../]
[]

[Contact]
  [./leftright]
    primary = 2
    secondary = 3
    model = frictionless
    formulation = penalty
    penalty = 1e+7
  [../]
[]

(tutorials/tutorial03_verification/app/test/tests/step04_mms/2d_mms_spatial.i)

[ICs]
  active = 'mms'
  [mms]
    type = FunctionIC
    variable = T
    function = mms_exact
  []
[]

[BCs]
  active = 'mms'
  [mms]
    type = FunctionDirichletBC
    variable = T
    boundary = 'left right top bottom'
    function = mms_exact
  []
[]

[Kernels]
  [mms]
    type = HeatSource
    variable = T
    function = mms_force
  []
[]

[Functions]
  [mms_force]
    type = ParsedFunction
    expression = 'cp*rho*sin(x*pi)*sin(5*y*pi) + 26*pi^2*k*t*sin(x*pi)*sin(5*y*pi) - shortwave*exp(y*kappa)*sin((1/2)*x*pi)*sin((1/3600)*pi*t/hours)'
    symbol_names = 'rho cp   k     kappa shortwave hours'
    symbol_values = '150 2000 0.01  40    650       9'
  []
  [mms_exact]
    type = ParsedFunction
    expression = 't*sin(pi*x)*sin(5*pi*y)'
  []
[]

[Outputs]
  csv = true
[]

[Postprocessors]
  [error]
    type = ElementL2Error
    variable = T
    function = mms_exact
  []
  [h]
    type = AverageElementSize
  []
[]

(test/tests/postprocessors/postprocessor_dependency/element_side_pp.i)

[Mesh]
  type = GeneratedMesh
  dim = 2
  xmin = 0
  xmax = 1
  ymin = 0
  ymax = 1
  nx = 3
  ny = 3
  elem_type = QUAD9
[]

[Variables]
  active = 'u v'

  [./u]
    order = SECOND
    family = LAGRANGE
    [./InitialCondition]
      type = ConstantIC
      value = 2.8
    [../]
  [../]

  [./v]
    order = SECOND
    family = LAGRANGE
    [./InitialCondition]
      type = ConstantIC
      value = 5.4
    [../]
  [../]
[]

[Functions]
  active = 'force_fn exact_fn left_bc'

  [./force_fn]
    type = ParsedFunction
    expression = '1-x*x+2*t'
  [../]

  [./exact_fn]
    type = ParsedFunction
    expression = '(1-x*x)*t'
  [../]

  [./left_bc]
    type = ParsedFunction
    expression = t
  [../]
[]

[Kernels]
  active = '
    time_u diff_u ffn_u
    time_v diff_v'

  [./time_u]
    type = TimeDerivative
    variable = u
  [../]

  [./diff_u]
    type = Diffusion
    variable = u
  [../]

  [./ffn_u]
    type = BodyForce
    variable = u
    function = force_fn
  [../]

  [./time_v]
    type = TimeDerivative
    variable = v
  [../]

  [./diff_v]
    type = Diffusion
    variable = v
  [../]
[]

[BCs]
  active = 'all_u left_v right_v'

  [./all_u]
    type = FunctionDirichletBC
    variable = u
    boundary = '0 1 2 3'
    function = exact_fn
  [../]

  [./left_v]
    type = FunctionDirichletBC
    variable = v
    boundary = '3'
    function = left_bc
  [../]

  [./right_v]
    type = DirichletBC
    variable = v
    boundary = '1'
    value = 0
  [../]
[]

[Postprocessors]

  [./sidepp]
    type = SideIntegralVariablePostprocessor
    variable = v
    execute_on = timestep_end
    boundary = '0 1 2 3'
  [../]

  [./passsidepp]
    type = ElementSidePP
    side_pp = sidepp
    execute_on = timestep_end
  [../]

[]

[Executioner]
  type = Transient

  solve_type = 'PJFNK'

  dt = 0.1
  start_time = 0
  end_time = 0.3
[]

[Outputs]
  file_base = out
  csv = true
[]

(modules/solid_mechanics/test/tests/uel/small_test_expanded_umat.i)

[GlobalParams]
  displacements = 'disp_x disp_y'
[]

[Mesh]
  [gen]
    type = GeneratedMeshGenerator
    dim = 2
    nx = 20
    ny = 10
    xmax = 10
    ymax = 3
    elem_type = TRI3
  []
  [pin]
    type = ExtraNodesetGenerator
    nodes = 106
    new_boundary = pin
    input = gen
  []
  displacements = 'disp_x disp_y'
[]

[Variables]
  [disp_x]
  []
  [disp_y]
  []
[]

[BCs]
  [left_x]
    type = DirichletBC
    variable = disp_x
    boundary = left
    value = 0
  []
  [left_y]
    type = DirichletBC
    variable = disp_y
    boundary = pin
    value = 0
  []

  inactive = 'right_dirichlet'
  [right_neumann]
    type = FunctionNeumannBC
    variable = disp_x
    function = t
    boundary = right
  []
  [right_dirichlet]
    type = FunctionDirichletBC
    variable = disp_x
    function = t/10
    boundary = right
  []
[]

[Physics/SolidMechanics/QuasiStatic]
  [all]
    add_variables = true
    strain = SMALL
    incremental = true
    extra_vector_tags = 'kernel_residual'
  []
[]

[Materials]
  [umat]
    type = AbaqusUMATStress
    constant_properties = '100 0.3'
    plugin = '../../plugins/small_elastic_tri'
    num_state_vars = 8
    use_one_based_indexing = false
  []
[]

[Problem]
  kernel_coverage_check = false
  extra_tag_vectors = 'kernel_residual'
[]

[AuxVariables]
  [res_x]
  []
  [res_y]
  []
[]

[AuxKernels]
  [res_x]
    type = TagVectorAux
    variable = res_x
    v = disp_x
    vector_tag = kernel_residual
  []
  [res_y]
    type = TagVectorAux
    variable = res_y
    v = disp_y
    vector_tag = kernel_residual
  []
[]

[Executioner]
  type = Transient
  solve_type = NEWTON
  petsc_options_iname = '-pc_type'
  petsc_options_value = 'lu'
  dt = 1
  num_steps = 15
[]

[Postprocessors]
  [delta_l]
    type = SideAverageValue
    variable = disp_x
    boundary = right
    execute_on = 'INITIAL TIMESTEP_END'
  []
  [V]
    type = ElementIntegralMaterialProperty
    mat_prop = 1
    use_displaced_mesh = true
    execute_on = 'INITIAL TIMESTEP_END'
  []
[]

[Outputs]
  exodus = true
  csv = true
[]

(modules/contact/test/tests/normalized_penalty/normalized_penalty_Q8.i)

[GlobalParams]
  order = SECOND
  displacements = 'disp_x disp_y'
[]

[Mesh]
  file = normalized_penalty_Q8.e
[]

[Problem]
  type = ReferenceResidualProblem
  extra_tag_vectors = 'ref'
  reference_vector = 'ref'
[]

[Functions]
  [./left_x]
    type = PiecewiseLinear
    x = '0 1 2'
    y = '0 0.02 0'
  [../]
[]
[AuxVariables]
  [./saved_x]
  [../]
  [./saved_y]
  [../]
[]

[Physics/SolidMechanics/QuasiStatic]
  [./all]
    add_variables = true
    strain = FINITE
    generate_output = 'stress_xx'
    save_in = 'saved_x saved_y'
    extra_vector_tags = 'ref'
  []
[]

[Contact]
  [./m3_s2]
    primary = 3
    secondary = 2
    penalty = 1e10
    normalize_penalty = true
    formulation = penalty
    tangential_tolerance = 1e-3
  [../]
[]

[BCs]
  [./left_x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 1
    function = left_x
  [../]

  [./y]
    type = DirichletBC
    variable = disp_y
    boundary = '1 2 3 4'
    value = 0.0
  [../]

  [./right]
    type = DirichletBC
    variable = disp_x
    boundary = '3 4'
    value = 0
  [../]
[]

[Materials]
  [./stiffStuff1]
    type = ComputeIsotropicElasticityTensor
    block = '1 2 3 4 1000'
    youngs_modulus = 3e8
    poissons_ratio = 0.0
  [../]
  [./stiffStuff1_stress]
    type = ComputeFiniteStrainElasticStress
    block = '1 2 3 4 1000'
  [../]
[]

[Executioner]
  type = Transient
  solve_type = 'PJFNK'

  petsc_options_iname = '-pc_type -ksp_gmres_restart'
  petsc_options_value = 'lu       101'

  line_search = 'none'

  nl_rel_tol = 1e-12
  nl_abs_tol = 5e-8

  l_max_its = 100
  nl_max_its = 10
  dt = 0.5
  num_steps = 4
[]

[Outputs]
  exodus = true
[]

(test/tests/kernels/ode/parsedode_sys_impl_test.i)

[Mesh]
  type = GeneratedMesh
  dim = 2
  xmin = 0
  xmax = 1
  ymin = 0
  ymax = 1
  nx = 2
  ny = 2
  elem_type = QUAD4
[]

[Functions]
  [./f_fn]
    type = ParsedFunction
    expression = -4
  [../]
  [./bc_all_fn]
    type = ParsedFunction
    expression = x*x+y*y
  [../]

  # ODEs
  [./exact_x_fn]
    type = ParsedFunction
    expression = (-1/3)*exp(-t)+(4/3)*exp(5*t)
  [../]
[]

# NL

[Variables]
  [./u]
    family = LAGRANGE
    order = FIRST
  [../]

  # ODE variables
  [./x]
    family = SCALAR
    order = FIRST
    initial_condition = 1
  [../]
  [./y]
    family = SCALAR
    order = FIRST
    initial_condition = 2
  [../]
[]

[Kernels]
  [./td]
    type = TimeDerivative
    variable = u
  [../]
  [./diff]
    type = Diffusion
    variable = u
  [../]
  [./uff]
    type = BodyForce
    variable = u
    function = f_fn
  [../]
[]

[ScalarKernels]
  [./td1]
    type = ODETimeDerivative
    variable = x
  [../]
  [./ode1]
    type = ParsedODEKernel
    expression = '-3*x - 2*y'
    variable = x
    coupled_variables = y
  [../]

  [./td2]
    type = ODETimeDerivative
    variable = y
  [../]
  [./ode2]
    type = ParsedODEKernel
    expression = '-4*x - y'
    variable = y
    coupled_variables = x
  [../]
[]

[BCs]
  [./all]
    type = FunctionDirichletBC
    variable = u
    boundary = '0 1 2 3'
    function = bc_all_fn
  [../]
[]

[Postprocessors]
  active = 'exact_x l2err_x'

  [./exact_x]
    type = FunctionValuePostprocessor
    function = exact_x_fn
    execute_on = 'initial timestep_end'
    point = '0 0 0'
  [../]

  [./l2err_x]
    type = ScalarL2Error
    variable = x
    function = exact_x_fn
    execute_on = 'initial timestep_end'
  [../]
[]

[Executioner]
  type = Transient
  start_time = 0
  dt = 0.01
  num_steps = 100

  solve_type = 'PJFNK'
[]

[Outputs]
  file_base = ode_sys_impl_test_out
  exodus = true
[]

(modules/peridynamics/test/tests/simple_tests/2D_regularD_constH_OSPD.i)

# Test for ordinary state-based peridynamic formulation
# for regular grid from generated mesh with const bond constants
# partial Jacobian
# Jacobian from bond-based formulation is used for preconditioning

# Square plate with Dirichlet boundary conditions applied
# at the left, top and bottom edges

[GlobalParams]
  displacements = 'disp_x disp_y'
[]

[Mesh]
  type = PeridynamicsMesh
  horizon_number = 3

  [./gmg]
    type = GeneratedMeshGenerator
    dim = 2
    nx = 4
    ny = 4
  [../]
  [./gpd]
    type = MeshGeneratorPD
    input = gmg
    retain_fe_mesh = false
  [../]
[]

[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
[]

[BCs]
  [./left_x]
    type = DirichletBC
    variable = disp_x
    boundary = 1003
    value = 0.0
  [../]
  [./top_y]
    type = DirichletBC
    variable = disp_y
    boundary = 1002
    value = 0.0
  [../]
  [./bottom_y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 1000
    function = '-0.001 * t'
  [../]
[]

[Modules/Peridynamics/Mechanics/Master]
  [./all]
    formulation = ORDINARY_STATE
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeIsotropicElasticityTensor
    youngs_modulus = 2e5
    poissons_ratio = 0.0
  [../]

  [./force_density]
    type = ComputeSmallStrainConstantHorizonMaterialOSPD
  [../]
[]

[Preconditioning]
  [./SMP]
    type = SMP
    full = true
  [../]
[]

[Executioner]
  type = Transient
  solve_type = PJFNK
  line_search = none
  start_time = 0
  end_time = 1
[]

[Outputs]
  file_base = 2D_regularD_constH_OSPD
  exodus = true
[]

(test/tests/geomsearch/2d_moving_penetration/pl_test2q.i)

[GlobalParams]
  order = SECOND
  family = LAGRANGE
[]

[Mesh]
  file = pl_test2q.e
  displacements = 'disp_x disp_y'
[]

[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
[]

[AuxVariables]
  [./distance]
  [../]
  [./tangential_distance]
  [../]
  [./normal_x]
  [../]
  [./normal_y]
  [../]
  [./closest_point_x]
  [../]
  [./closest_point_y]
  [../]
  [./element_id]
  [../]
  [./side]
  [../]
[]

[Kernels]
  [./diff_x]
    type = Diffusion
    variable = disp_x
  [../]
  [./diff_y]
    type = Diffusion
    variable = disp_y
  [../]
[]

[AuxKernels]
  [./penetrate]
    type = PenetrationAux
    variable = distance
    boundary = 11            #secondary
    paired_boundary = 12     #primary
  [../]

  [./penetrate2]
    type = PenetrationAux
    variable = distance
    boundary = 12            #secondary
    paired_boundary = 11     #primary
  [../]

  [./penetrate3]
    type = PenetrationAux
    variable = tangential_distance
    boundary = 11
    paired_boundary = 12
    quantity = tangential_distance
  [../]

  [./penetrate4]
    type = PenetrationAux
    variable = tangential_distance
    boundary = 12
    paired_boundary = 11
    quantity = tangential_distance
  [../]

  [./penetrate5]
    type = PenetrationAux
    variable = normal_x
    boundary = 11
    paired_boundary = 12
    quantity = normal_x
  [../]

  [./penetrate6]
    type = PenetrationAux
    variable = normal_x
    boundary = 12
    paired_boundary = 11
    quantity = normal_x
  [../]

  [./penetrate7]
    type = PenetrationAux
    variable = normal_y
    boundary = 11
    paired_boundary = 12
    quantity = normal_y
  [../]

  [./penetrate8]
    type = PenetrationAux
    variable = normal_y
    boundary = 12
    paired_boundary = 11
    quantity = normal_y
  [../]

  [./penetrate9]
    type = PenetrationAux
    variable = closest_point_x
    boundary = 11
    paired_boundary = 12
    quantity = closest_point_x
  [../]

  [./penetrate10]
    type = PenetrationAux
    variable = closest_point_x
    boundary = 12
    paired_boundary = 11
    quantity = closest_point_x
  [../]

  [./penetrate11]
    type = PenetrationAux
    variable = closest_point_y
    boundary = 11
    paired_boundary = 12
    quantity = closest_point_y
  [../]

  [./penetrate12]
    type = PenetrationAux
    variable = closest_point_y
    boundary = 12
    paired_boundary = 11
    quantity = closest_point_y
  [../]

  [./penetrate13]
    type = PenetrationAux
    variable = element_id
    boundary = 11
    paired_boundary = 12
    quantity = element_id
  [../]

  [./penetrate14]
    type = PenetrationAux
    variable = element_id
    boundary = 12
    paired_boundary = 11
    quantity = element_id
  [../]

  [./penetrate15]
    type = PenetrationAux
    variable = side
    boundary = 11
    paired_boundary = 12
    quantity = side
  [../]

  [./penetrate16]
    type = PenetrationAux
    variable = side
    boundary = 12
    paired_boundary = 11
    quantity = side
  [../]
[]

[BCs]
  [./b1x]
    type = DirichletBC
    variable = disp_x
    boundary = 1
    value = 0
  [../]

  [./b1y]
    type = DirichletBC
    variable = disp_y
    boundary = 1
    value = 0
  [../]

  [./b2x]
    type = DirichletBC
    variable = disp_x
    boundary = 2
    value = 0
  [../]

  [./b2y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 2
    function = disp_y
  [../]
[]

[Functions]
  [./disp_y]
    type = PiecewiseLinear
    x = '0.0 0.25 0.75 1.0'
    y = '0.0 0.7 -0.7  0.0'
  [../]
[]

[Executioner]
  type = Transient

  solve_type = 'PJFNK'
  petsc_options = '-snes_ksp_ew'

  nl_rel_tol = 1.e-9
  l_max_its = 10

  start_time = 0.0
  dt = 0.05
  end_time = 1.0
  [./Quadrature]
    order = THIRD
  [../]
[]

[Outputs]
  file_base = pl_test2q_out
  exodus = true
[]

(modules/solid_mechanics/test/tests/capped_mohr_coulomb/small_deform_hard22.i)

# Mohr-Coulomb only
# apply stretches in x direction and smaller stretches in the y direction
# to observe return to the MC plane
# This tests uses hardening of the friction and dilation angles.  The returned configuration
# should obey
# 0 = 0.5 * (Smax - Smin) + 0.5 * (Smax + Smin) * sin(phi) - C cos(phi)
# which allows inference of phi.

[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]

[Physics/SolidMechanics/QuasiStatic]
  [./all]
    add_variables = true
    incremental = true
    generate_output = 'max_principal_stress mid_principal_stress min_principal_stress'
  [../]
[]

[BCs]
  [./x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'front back'
    function = '0.4E-6*x*t'
  [../]
  [./y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'front back'
    function = '0.17E-6*y*t'
  [../]
  [./z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'front back'
    function = '0'
  [../]
[]

[AuxVariables]
  [./yield_fcn]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./iter]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./intnl]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./intnl_tensile]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]

[AuxKernels]
  [./yield_fcn_auxk]
    type = MaterialStdVectorAux
    index = 6
    property = plastic_yield_function
    variable = yield_fcn
  [../]
  [./iter_auxk]
    type = MaterialRealAux
    property = plastic_NR_iterations
    variable = iter
  [../]
  [./intnl_auxk]
    type = MaterialStdVectorAux
    property = plastic_internal_parameter
    index = 0
    variable = intnl
  [../]
  [./intnl_tensile]
    type = MaterialStdVectorAux
    property = plastic_internal_parameter
    index = 1
    variable = intnl_tensile
  [../]
[]

[Postprocessors]
  [./s_max]
    type = PointValue
    point = '0 0 0'
    variable = max_principal_stress
  [../]
  [./s_mid]
    type = PointValue
    point = '0 0 0'
    variable = mid_principal_stress
  [../]
  [./s_min]
    type = PointValue
    point = '0 0 0'
    variable = min_principal_stress
  [../]
  [./f]
    type = PointValue
    point = '0 0 0'
    variable = yield_fcn
  [../]
  [./iter]
    type = PointValue
    point = '0 0 0'
    variable = iter
  [../]
  [./intnl]
    type = PointValue
    point = '0 0 0'
    variable = intnl
  [../]
  [./intnl_tensile]
    type = PointValue
    point = '0 0 0'
    variable = intnl_tensile
  [../]
[]

[UserObjects]
  [./ts]
    type = SolidMechanicsHardeningConstant
    value = 1E6
  [../]
  [./mc_coh]
    type = SolidMechanicsHardeningConstant
    value = 10
  [../]
  [./mc_phi]
    type = SolidMechanicsHardeningCubic
    value_residual = 0.524 # 30deg
    value_0 = 0.174 # 10deg
    internal_limit = 4E-6
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeIsotropicElasticityTensor
    youngs_modulus = 1E7
    poissons_ratio = 0.0
  [../]
  [./mc]
    type = CappedMohrCoulombStressUpdate
    tensile_strength = ts
    compressive_strength = ts
    cohesion = mc_coh
    friction_angle = mc_phi
    dilation_angle = mc_phi
    smoothing_tol = 0
    yield_function_tol = 1.0E-9
  [../]
  [./stress]
    type = ComputeMultipleInelasticStress
    inelastic_models = mc
    perform_finite_strain_rotations = false
  [../]
[]


[Executioner]
  end_time = 9
  dt = 1
  type = Transient
[]


[Outputs]
  file_base = small_deform_hard22
  csv = true
[]

(test/tests/misc/check_error/missing_required_coupled.i)

[Mesh]
  type = GeneratedMesh
  dim = 2
  xmin = -1
  xmax = 1
  ymin = 0
  ymax = 1
  nx = 20
  ny = 10
  elem_type = QUAD9
[]

[Functions]
  [./bc_fn_v]
    type = ParsedFunction
    expression = (x*x+y*y)
  [../]
[]

[Variables]
  [./v]
    family = LAGRANGE
    order = SECOND
  [../]

  [./u]
    family = LAGRANGE
    order = SECOND
  [../]
[]

[Kernels]
  # V equation
  [./td_v]
    type = TimeDerivative
    variable = v
  [../]
  [./diff_v]
    type = CoefDiffusion
    variable = v
    coef = 0.5
  [../]
  [./conv_v]
    type = CoupledConvection
    variable = v
    # Coupled parameter is missing for CoupledConvection
  [../]
[]

[BCs]
  [./left_v]
    type = FunctionDirichletBC
    variable = v
    boundary = 'top'
    function = bc_fn_v
  [../]
[]

[Executioner]
  type = Transient
  start_time = 0
  dt = 0.05
  num_steps = 10
[]

[Outputs]
  execute_on = 'timestep_end'
[]

(test/tests/time_integrators/newmark-beta/newmark_beta_default_parameters.i)

###########################################################
# This is a simple test with a time-dependent problem
# demonstrating the use of the TimeIntegrator system.
#
# Testing that the first and second time derivatives
# are calculated correctly using the Newmark-Beta method
#
# @Requirement F1.30
###########################################################

[Mesh]
  type = GeneratedMesh
  dim = 2
  xmin = -1
  xmax = 1
  ymin = -1
  ymax = 1
  nx = 1
  ny = 1
[]

[Variables]
  [./u]
  [../]
[]

[Functions]
  [./forcing_fn]
    type = PiecewiseLinear
    x = '0.0 0.1 0.2    0.3  0.4    0.5  0.6'
    y = '0.0 0.0 0.0025 0.01 0.0175 0.02 0.02'
  [../]
[]

[Kernels]
  [./ie]
    type = TimeDerivative
    variable = u
  [../]

  [./diff]
    type = Diffusion
    variable = u
  [../]
[]

[BCs]
  [./left]
    type = FunctionDirichletBC
    variable = u
    preset = false
    boundary = 'left'
    function = forcing_fn
  [../]
  [./right]
    type = FunctionDirichletBC
    variable = u
    preset = false
    boundary = 'right'
    function = forcing_fn
  [../]
[]

[Executioner]
  type = Transient

  # Time integrator scheme
  scheme = "newmark-beta"

  start_time = 0.0
  num_steps = 6
  dt = 0.1
[]

[Postprocessors]
  [./udot]
    type = ElementAverageTimeDerivative
    variable = u
  [../]
  [./udotdot]
    type = ElementAverageSecondTimeDerivative
    variable = u
  [../]
  [./u]
    type = ElementAverageValue
    variable = u
  [../]
[]

[Outputs]
  csv = true
[]

(test/tests/time_integrators/newmark-beta/newmark_beta_prescribed_parameters.i)

###########################################################
# This is a simple test with a time-dependent problem
# demonstrating the use of the TimeIntegrator system.
#
# Testing that the first and second time derivatives
# are calculated correctly using the Newmark-Beta method
#
# @Requirement F1.30
###########################################################

[Mesh]
  type = GeneratedMesh
  dim = 2
  xmin = -1
  xmax = 1
  ymin = -1
  ymax = 1
  nx = 1
  ny = 1
[]

[Variables]
  [u]
  []
[]

[Functions]
  [forcing_fn]
    type = PiecewiseLinear
    x = '0.0 0.1 0.2    0.3  0.4    0.5  0.6'
    y = '0.0 0.0 0.0025 0.01 0.0175 0.02 0.02'
  []
[]

[Kernels]
  [ie]
    type = TimeDerivative
    variable = u
  []

  [diff]
    type = Diffusion
    variable = u
  []
[]

[BCs]
  [left]
    type = FunctionDirichletBC
    variable = u
    boundary = 'left'
    function = forcing_fn
  []
  [right]
    type = FunctionDirichletBC
    variable = u
    boundary = 'right'
    function = forcing_fn
  []
[]

[Executioner]
  type = Transient
  start_time = 0.0
  num_steps = 6
  dt = 0.1
  [TimeIntegrator]
    type = NewmarkBeta
    beta = 0.4225
    gamma = 0.8
  []
[]

[Postprocessors]
  [udot]
    type = ElementAverageTimeDerivative
    variable = u
  []
  [udotdot]
    type = ElementAverageSecondTimeDerivative
    variable = u
  []
  [u]
    type = ElementAverageValue
    variable = u
  []
[]

[Outputs]
  csv = true
[]

(modules/combined/test/tests/internal_volume/rz_displaced.i)

#
# Volume Test
#
# This test is designed to compute the volume of a space when displacements
#   are imposed.
#
# The mesh is composed of one block (1) with two elements.  The mesh is
#   such that the initial volume is 1.  One element face is displaced to
#   produce a final volume of 2.
#
#     r1
#   +----+   -
#   |    |   |
#   +----+   h    V1 = pi * h * r1^2
#   |    |   |
#   +----+   -
#
#   becomes
#
#   +----+
#   |     \
#   +------+      v2 = pi * h/2 * ( r2^2 + 1/3 * ( r2^2 + r2*r1 + r1^2 ) )
#   |      |
#   +------+
#      r2
#
#   r1 = 1
#   r2 = 1.5380168369562588
#   h  = 1/pi
#
#  Note:  Because the InternalVolume PP computes cavity volumes as positive,
#         the volumes reported are negative.
#

[GlobalParams]
  displacements = 'disp_x disp_y'
[]

[Problem]
  coord_type = RZ
[]

[Mesh]
  file = meshes/rz_displaced.e
  # This test uses ElementalVariableValue postprocessors on specific
  # elements, so element numbering needs to stay unchanged
  allow_renumbering = false
[]

[Functions]
  [./disp_x]
    type = PiecewiseLinear
    x = '0. 1.'
    y = '0. 0.5380168369562588'
  [../]
[]

[Variables]
  [./disp_x]
    order = FIRST
    family = LAGRANGE
  [../]

  [./disp_y]
    order = FIRST
    family = LAGRANGE
  [../]
[]

[AuxVariables]
  [./volumetric_strain]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]

[Physics/SolidMechanics/QuasiStatic]
  [./all]
    volumetric_locking_correction = false
    decomposition_method = EigenSolution
    incremental = true
    strain = FINITE
  [../]
[]

[AuxKernels]
  [./fred]
    type = RankTwoScalarAux
    rank_two_tensor = total_strain
    variable = volumetric_strain
    scalar_type = VolumetricStrain
    execute_on = timestep_end
  [../]
[]

[BCs]
  [./no_x]
    type = DirichletBC
    variable = disp_x
    boundary = 1
    value = 0.0
  [../]

  [./no_y]
    type = DirichletBC
    variable = disp_y
    boundary = 2
    value = 0.0
  [../]

  [./x]
    type = FunctionDirichletBC
    boundary = 3
    variable = disp_x
    function = disp_x
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeIsotropicElasticityTensor
    youngs_modulus = 1e6
    poissons_ratio = 0.3
  [../]

  [./stress]
    type = ComputeFiniteStrainElasticStress
  [../]
[]

[Executioner]
  type = Transient
  solve_type = PJFNK

  start_time = 0.0
  dt = 1.0
  end_time = 1.0
[]

[Postprocessors]
  [./internalVolume]
    type = InternalVolume
    boundary = 2
    execute_on = 'initial timestep_end'
  [../]
  [./volStrain0]
    type = ElementalVariableValue
    elementid = 0
    variable = volumetric_strain
  [../]
  [./volStrain1]
    type = ElementalVariableValue
    elementid = 1
    variable = volumetric_strain
  [../]
[]

[Outputs]
  csv = true
[]

(modules/solid_mechanics/test/tests/crystal_plasticity/monolithic_material_based/crysp_cutback.i)

[Mesh]
  type = GeneratedMesh
  dim = 3
  elem_type = HEX8
  displacements = 'ux uy uz'
[]

[Variables]
  [./ux]
    block = 0
  [../]
  [./uy]
    block = 0
  [../]
  [./uz]
    block = 0
  [../]
[]

[AuxVariables]
  [./stress_zz]
    order = CONSTANT
    family = MONOMIAL
    block = 0
  [../]
  [./fp_zz]
    order = CONSTANT
    family = MONOMIAL
    block = 0
  [../]
  [./rotout]
    order = CONSTANT
    family = MONOMIAL
    block = 0
  [../]
  [./e_zz]
    order = CONSTANT
    family = MONOMIAL
    block = 0
  [../]
  [./gss1]
    order = CONSTANT
    family = MONOMIAL
    block = 0
  [../]
[]

[Functions]
  [./tdisp]
    type = ParsedFunction
    expression = 0.01*t
  [../]
[]

[Kernels]
  [SolidMechanics]
    displacements = 'ux uy uz'
    use_displaced_mesh = true
  [../]
[]

[AuxKernels]
  [./stress_zz]
    type = RankTwoAux
    variable = stress_zz
    rank_two_tensor = stress
    index_j = 2
    index_i = 2
    execute_on = timestep_end
    block = 0
  [../]
  [./fp_zz]
    type = RankTwoAux
    variable = fp_zz
    rank_two_tensor = fp
    index_j = 2
    index_i = 2
    execute_on = timestep_end
    block = 0
  [../]
  [./e_zz]
    type = RankTwoAux
    variable = e_zz
    rank_two_tensor = lage
    index_j = 2
    index_i = 2
    execute_on = timestep_end
    block = 0
  [../]
  [./gss1]
    type = MaterialStdVectorAux
    variable = gss1
    property = gss
    index = 0
    execute_on = timestep_end
    block = 0
  [../]
[]

[BCs]
  [./symmy]
    type = DirichletBC
    variable = uy
    boundary = bottom
    value = 0
  [../]
  [./symmx]
    type = DirichletBC
    variable = ux
    boundary = left
    value = 0
  [../]
  [./symmz]
    type = DirichletBC
    variable = uz
    boundary = back
    value = 0
  [../]
  [./tdisp]
    type = FunctionDirichletBC
    variable = uz
    boundary = front
    function = tdisp
  [../]
[]

[Materials]
  [./crysp]
    type = FiniteStrainCrystalPlasticity
    block = 0
    gtol = 1e-2
    slip_sys_file_name = input_slip_sys.txt
    nss = 12
    num_slip_sys_flowrate_props = 2 #Number of properties in a slip system
    flowprops = '1 4 0.001 0.1 5 8 0.001 0.1 9 12 0.001 0.1'
    hprops = '1.0 541.5 60.8 109.8 2.5'
    gprops = '1 4 60.8 5 8 60.8 9 12 60.8'
    tan_mod_type = exact
    gen_random_stress_flag = true
  [../]
  [./elasticity_tensor]
    type = ComputeElasticityTensorCP
    block = 0
    C_ijkl = '1.684e5 1.214e5 1.214e5 1.684e5 1.214e5 1.684e5 0.754e5 0.754e5 0.754e5'
    fill_method = symmetric9
  [../]
  [./strain]
    type = ComputeFiniteStrain
    block = 0
    displacements = 'ux uy uz'
  [../]
[]

[Postprocessors]
  [./stress_zz]
    type = ElementAverageValue
    variable = stress_zz
    block = 'ANY_BLOCK_ID 0'
  [../]
  [./fp_zz]
    type = ElementAverageValue
    variable = fp_zz
    block = 'ANY_BLOCK_ID 0'
  [../]
  [./e_zz]
    type = ElementAverageValue
    variable = e_zz
    block = 'ANY_BLOCK_ID 0'
  [../]
  [./gss1]
    type = ElementAverageValue
    variable = gss1
    block = 'ANY_BLOCK_ID 0'
  [../]
[]

[Preconditioning]
  [./smp]
    type = SMP
    full = true
  [../]
[]

[Executioner]
  type = Transient

  solve_type = 'PJFNK'

  petsc_options_iname = '-pc_factor_shift_type'
  petsc_options_value = 'nonzero'

  nl_rel_tol = 1e-10
  nl_abs_tol = 1e-10

  dt = 1.0
  dtmax = 10.0
  dtmin = 1e-5

  num_steps = 3

  snesmf_reuse_base = false
[]

[Outputs]
  file_base = crysp_cutback_out
  exodus = true
  csv = true
  gnuplot = true
[]

(modules/contact/test/tests/normalized_penalty/normalized_penalty_kin_Q8.i)

[GlobalParams]
  order = SECOND
  displacements = 'disp_x disp_y'
[]

[Mesh]
  file = normalized_penalty_Q8.e
[]

[Problem]
  type = ReferenceResidualProblem
  extra_tag_vectors = 'ref'
  reference_vector = 'ref'
[]

[AuxVariables]
  [./saved_x]
  [../]
  [./saved_y]
  [../]
[]

[Functions]
  [./left_x]
    type = PiecewiseLinear
    x = '0 1 2'
    y = '0 0.02 0'
  [../]
[]

[Physics/SolidMechanics/QuasiStatic]
  [./all]
    add_variables = true
    strain = FINITE
    generate_output = 'stress_xx'
    save_in = 'saved_x saved_y'
    extra_vector_tags = 'ref'
  []
[]

[Contact]
  [./m3_s2]
    primary = 3
    secondary = 2
    penalty = 1e10
    normalize_penalty = true
    tangential_tolerance = 1e-3
  [../]
[]

[BCs]
  [./left_x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 1
    function = left_x
  [../]

  [./y]
    type = DirichletBC
    variable = disp_y
    boundary = '1 2 3 4'
    value = 0.0
  [../]

  [./right]
    type = DirichletBC
    variable = disp_x
    boundary = '3 4'
    value = 0
  [../]
[]

[Materials]
  [./stiffStuff1]
    type = ComputeIsotropicElasticityTensor
    block = '1 2 3 4 1000'
    youngs_modulus = 3e8
    poissons_ratio = 0.0
  [../]
  [./stiffStuff1_stress]
    type = ComputeFiniteStrainElasticStress
    block = '1 2 3 4 1000'
  [../]
[]

[Executioner]
  type = Transient
  solve_type = 'PJFNK'

  petsc_options_iname = '-pc_type -ksp_gmres_restart'
  petsc_options_value = 'lu       101'

  line_search = 'none'

  nl_rel_tol = 1e-12
  nl_abs_tol = 5e-8

  l_max_its = 100
  nl_max_its = 20
  dt = 0.5
  num_steps = 4
[]

[Outputs]
  exodus = true
[]

(modules/navier_stokes/test/tests/finite_element/ins/RZ_cone/rz_cone_no_parts_steady_nobcbc.i)

# This input file tests several different things:
# .) The axisymmetric (RZ) form of the governing equations.
# .) An open boundary.
# .) Not integrating the pressure by parts, thereby requiring a pressure pin.
# .) Natural boundary condition at the outlet.
[GlobalParams]
  integrate_p_by_parts = false
  laplace = true
  gravity = '0 0 0'
[]

[Mesh]
  file = '2d_cone.msh'
[]

[Problem]
  coord_type = RZ
[]

[Preconditioning]
  [./SMP_PJFNK]
    type = SMP
    full = true
    solve_type = Newton
  [../]
[]

[Executioner]
  type = Steady

petsc_options_iname = '-pc_type -sub_pc_type -sub_pc_factor_levels'
  petsc_options_value = 'bjacobi  ilu          4'

  nl_rel_tol = 1e-12
  nl_max_its = 6
[]

[Outputs]
  console = true
  [./out]
    type = Exodus
  [../]
[]

[Variables]
  [./vel_x]
    # Velocity in radial (r) direction
    family = LAGRANGE
    order = SECOND
  [../]
  [./vel_y]
    # Velocity in axial (z) direction
    family = LAGRANGE
    order = SECOND
  [../]
  [./p]
    family = LAGRANGE
    order = FIRST
  [../]
[]

[BCs]
  [./p_corner]
    # This is required, because pressure term is *not* integrated by parts.
    type = DirichletBC
    boundary = top_right
    value = 0
    variable = p
  [../]
  [./u_in]
    type = DirichletBC
    boundary = bottom
    variable = vel_x
    value = 0
  [../]
  [./v_in]
    type = FunctionDirichletBC
    boundary = bottom
    variable = vel_y
    function = 'inlet_func'
  [../]
  [./u_axis_and_walls]
    type = DirichletBC
    boundary = 'left right'
    variable = vel_x
    value = 0
  [../]
  [./v_no_slip]
    type = DirichletBC
    boundary = 'right'
    variable = vel_y
    value = 0
  [../]
  [./u_out]
    type = INSMomentumNoBCBCLaplaceForm
    boundary = top
    variable = vel_x
    u = vel_x
    v = vel_y
    pressure = p
    component = 0
  [../]
  [./v_out]
    type = INSMomentumNoBCBCLaplaceForm
    boundary = top
    variable = vel_y
    u = vel_x
    v = vel_y
    pressure = p
    component = 1
  [../]
[]


[Kernels]
  [./mass]
    type = INSMassRZ
    variable = p
    u = vel_x
    v = vel_y
    pressure = p
  [../]
  [./x_momentum_space]
    type = INSMomentumLaplaceFormRZ
    variable = vel_x
    u = vel_x
    v = vel_y
    pressure = p
    component = 0
  [../]
  [./y_momentum_space]
    type = INSMomentumLaplaceFormRZ
    variable = vel_y
    u = vel_x
    v = vel_y
    pressure = p
    component = 1
  [../]
[]

[Materials]
  [./const]
    type = GenericConstantMaterial
    block = 'volume'
    prop_names = 'rho mu'
    prop_values = '1  1'
  [../]
[]

[Functions]
  [./inlet_func]
    type = ParsedFunction
    expression = '-4 * x^2 + 1'
  [../]
[]

[Postprocessors]
  [./flow_in]
    type = VolumetricFlowRate
    vel_x = vel_x
    vel_y = vel_y
    boundary = 'bottom'
    execute_on = 'timestep_end'
  [../]
  [./flow_out]
    type = VolumetricFlowRate
    vel_x = vel_x
    vel_y = vel_y
    boundary = 'top'
    execute_on = 'timestep_end'
  [../]
[]

(modules/solid_mechanics/test/tests/lagrangian/cartesian/total/convergence-auto/1D/dirichlet.i)

# Simple 1D plane strain test

[GlobalParams]
  displacements = 'disp_x'
  large_kinematics = true
  stabilize_strain = true
[]

[Variables]
  [disp_x]
  []
[]

[ICs]
  [disp_x]
    type = RandomIC
    variable = disp_x
    min = -0.1
    max = 0.1
  []
[]

[Mesh]
  [msh]
    type = GeneratedMeshGenerator
    dim = 1
    nx = 10
  []
[]

[Kernels]
  [sdx]
    type = TotalLagrangianStressDivergence
    variable = disp_x
    component = 0
  []
[]

[Functions]
  [pull]
    type = ParsedFunction
    expression = '0.06 * t'
  []
[]

[BCs]
  [leftx]
    type = DirichletBC
    preset = true
    boundary = right
    variable = disp_x
    value = 0.0
  []
  [pull]
    type = FunctionDirichletBC
    boundary = left
    variable = disp_x
    function = pull
    preset = true
  []
[]

[Materials]
  [elastic_tensor]
    type = ComputeIsotropicElasticityTensor
    youngs_modulus = 100000.0
    poissons_ratio = 0.3
  []
  [compute_stress]
    type = ComputeLagrangianLinearElasticStress
  []
  [compute_strain]
    type = ComputeLagrangianStrain
  []
[]

[Preconditioning]
  [smp]
    type = SMP
    full = true
  []
[]

[Executioner]
  type = Transient

  solve_type = 'newton'
  line_search = none

  petsc_options_iname = '-pc_type'
  petsc_options_value = 'lu'

  l_max_its = 2
  l_tol = 1e-14
  nl_max_its = 15
  nl_rel_tol = 1e-8
  nl_abs_tol = 1e-10

  start_time = 0.0
  dt = 5.0
  dtmin = 5.0
  end_time = 5.0
[]

(modules/solid_mechanics/test/tests/umat/analysis_steps/elastic_temperature_steps_uo_end_times.i)

# Testing the UMAT Interface - linear elastic model using the large strain formulation.

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]

[Mesh]
  [gen]
    type = GeneratedMeshGenerator
    dim = 3
    xmin = -0.5
    xmax = 0.5
    ymin = -0.5
    ymax = 0.5
    zmin = -0.5
    zmax = 0.5
  []
[]

[Functions]
  [top_pull_step2]
    type = ParsedFunction
    expression = (t-5.0)/20
  []
  # Forced evolution of temperature
  [temperature_load]
    type = ParsedFunction
    expression = '273'
  []
[]

[AuxVariables]
  [temperature]
  []
[]

[AuxKernels]
  [temperature_function]
    type = FunctionAux
    variable = temperature
    function = temperature_load
  []
[]

[Physics/SolidMechanics/QuasiStatic]
  [all]
    add_variables = true
    strain = FINITE
    generate_output = 'stress_yy'
  []
[]

[BCs]
  [y_step1]
    type = DirichletBC
    variable = disp_y
    boundary = top
    value = 0.0
  []
  [y_pull_function_step2]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = top
    function = top_pull_step2
  []
  [x_bot]
    type = DirichletBC
    variable = disp_x
    boundary = left
    value = 0.0
  []
  [y_bot]
    type = DirichletBC
    variable = disp_y
    boundary = bottom
    value = 0.0
  []
  [z_bot]
    type = DirichletBC
    variable = disp_z
    boundary = front
    value = 0.0
  []
[]

[Controls]
  [step1]
    type = AnalysisStepPeriod
    enable_objects = 'BCs::y_step1'
    disable_objects = 'BCs::y_pull_function_step2'
    analysis_step_user_object = step_uo
    step_number = 0
  []
  [step2]
    type = AnalysisStepPeriod
    enable_objects = 'BCs::y_pull_function_step2'
    disable_objects = 'BCs::y_step1'
    analysis_step_user_object = step_uo
    step_number = 1
  []
[]

[UserObjects]
  [step_uo]
   type = AnalysisStepUserObject
   step_end_times = '5 10'
  []
[]

[Materials]
  [umat]
    type = AbaqusUMATStress
    constant_properties = '1000 0.3'
    plugin = '../../../plugins/elastic_temperature'
    num_state_vars = 0
    temperature = temperature
    use_one_based_indexing = true
  []
[]

[Executioner]
  type = Transient
  solve_type = 'PJFNK'

  petsc_options = '-snes_ksp_ew'
  petsc_options_iname = '-ksp_gmres_restart'
  petsc_options_value = '101'

  line_search = 'none'

  l_max_its = 100
  nl_max_its = 100
  nl_rel_tol = 1e-12
  nl_abs_tol = 1e-10
  l_tol = 1e-9
  start_time = 0.0
  num_steps = 10
  dt = 1.0
[]

[Preconditioning]
  [smp]
    type = SMP
    full = true
  []
[]

[Outputs]
  exodus = true
[]

(modules/solid_mechanics/test/tests/tensile/planar3.i)

# checking for small deformation
# A single element is stretched by 1E-6m in the z and x directions, with lame mu = 1E6, so trial stress is 2Pa in those directions
# tensile_strength is set to 1Pa
# Then the final stress should return to the z and x stresses being 1.0 (up to tolerance), and internal parameter = (0.5+0.5)E-6 = 1.0E-6
# Using 'planar' Tensile plasticity

[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]


[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]

[Physics/SolidMechanics/QuasiStatic]
  [./all]
    add_variables = true
    incremental = true
    strain = finite
    generate_output = 'stress_xx stress_xy stress_xz stress_yy stress_yz stress_zz'
  [../]
[]

[BCs]
  [./x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'front back'
    function = '1E-6*x'
  [../]
  [./y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'front back'
    function = '0E-6*y'
  [../]
  [./z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'front back'
    function = '1E-6*z'
  [../]
[]

[AuxVariables]
  [./f0]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f1]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f2]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./iter]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./intnl]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]

[AuxKernels]
  [./f0_auxk]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 0
    variable = f0
  [../]
  [./f1_auxk]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 1
    variable = f1
  [../]
  [./f2_auxk]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 2
    variable = f2
  [../]
  [./iter]
    type = MaterialRealAux
    property = plastic_NR_iterations
    variable = iter
  [../]
  [./intnl_auxk]
    type = MaterialStdVectorAux
    property = plastic_internal_parameter
    index = 0
    variable = intnl
  [../]
[]

[Postprocessors]
  [./s_xx]
    type = PointValue
    point = '0 0 0'
    variable = stress_xx
  [../]
  [./s_xy]
    type = PointValue
    point = '0 0 0'
    variable = stress_xy
  [../]
  [./s_xz]
    type = PointValue
    point = '0 0 0'
    variable = stress_xz
  [../]
  [./s_yy]
    type = PointValue
    point = '0 0 0'
    variable = stress_yy
  [../]
  [./s_yz]
    type = PointValue
    point = '0 0 0'
    variable = stress_yz
  [../]
  [./s_zz]
    type = PointValue
    point = '0 0 0'
    variable = stress_zz
  [../]
  [./f0]
    type = PointValue
    point = '0 0 0'
    variable = f0
  [../]
  [./f1]
    type = PointValue
    point = '0 0 0'
    variable = f1
  [../]
  [./f2]
    type = PointValue
    point = '0 0 0'
    variable = f2
  [../]
  [./iter]
    type = PointValue
    point = '0 0 0'
    variable = iter
    outputs = console
  [../]
  [./intnl]
    type = PointValue
    point = '0 0 0'
    variable = intnl
  [../]
[]

[UserObjects]
  [./hard]
    type = SolidMechanicsHardeningConstant
    value = 1
  [../]
  [./tens]
    type = SolidMechanicsPlasticTensileMulti
    tensile_strength = hard
    yield_function_tolerance = 1E-6
    internal_constraint_tolerance = 1E-5
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    block = 0
    fill_method = symmetric_isotropic
    C_ijkl = '0 1E6'
  [../]
  [./mc]
    type = ComputeMultiPlasticityStress
    block = 0
    ep_plastic_tolerance = 1E-5
    max_NR_iterations = 4
    min_stepsize = 1
    plastic_models = tens
    debug_fspb = crash
    debug_jac_at_stress = '1 2 3 2 -4 -5 3 -5 10'
    debug_jac_at_pm = '0.1 0.2 0.3'
    debug_jac_at_intnl = 1E-6
    debug_stress_change = 1E-6
    debug_pm_change = '1E-6 1E-6 1E-6'
    debug_intnl_change = 1E-6
  [../]
[]


[Executioner]
  end_time = 1
  dt = 1
  type = Transient
[]


[Outputs]
  file_base = planar3
  exodus = false
  [./csv]
    type = CSV
    [../]
[]

(modules/solid_mechanics/test/tests/shell/static/finite_straintest.i)

# Test for the axial stress and strain output for single shell element
# for 2D planar shell with uniform mesh.
# A single shell 1 mm x 1 mm element having Young's Modulus of 5 N/mm^2
# and poissons ratio of 0 is fixed at the left end and
# an axial displacement of 0.2 mm is applied at the right.
# Theoretical value of axial stress and strain are 1 N/mm^2 and 0.2.

[Mesh]
  type = GeneratedMesh
  dim = 2
  nx = 1
  ny = 1
  xmin = 0.0
  xmax = 1.0
  ymin = 0.0
  ymax = 1.0
[]

[Variables]
  [disp_x]
    order = FIRST
    family = LAGRANGE
  []
  [disp_y]
    order = FIRST
    family = LAGRANGE
  []
  [disp_z]
    order = FIRST
    family = LAGRANGE
  []
  [rot_x]
    order = FIRST
    family = LAGRANGE
  []
  [rot_y]
    order = FIRST
    family = LAGRANGE
  []
[]

[AuxVariables]
  [stress_xx]
    order = CONSTANT
    family = MONOMIAL
  []
  [strain_xx]
    order = CONSTANT
    family = MONOMIAL
  []
[]

[AuxKernels]
  [stress_xx]
    type = RankTwoAux
    variable = stress_xx
    rank_two_tensor = global_stress_t_points_1
    index_i = 0
    index_j = 0
  []
  [strain_xx]
    type = RankTwoAux
    variable = strain_xx
    rank_two_tensor = total_global_strain_t_points_1
    index_i = 0
    index_j = 0
  []
[]

[BCs]
  [fixx]
    type = DirichletBC
    variable = disp_x
    boundary = left
    value = 0.0
  []
  [fixy]
    type = DirichletBC
    variable = disp_y
    boundary = left
    value = 0.0
  []
  [fixz]
    type = DirichletBC
    variable = disp_z
    boundary = left
    value = 0.0
  []
  [fixr1]
    type = DirichletBC
    variable = rot_x
    boundary = left
    value = 0.0
  []
  [fixr2]
    type = DirichletBC
    variable = rot_y
    boundary = left
    value = 0.0
  []
  [disp]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'right'
    function = displacement
  []
[]

[Functions]
  [displacement]
    type = PiecewiseLinear
    x = '0.0 1.0'
    y = '0.0 0.2'
  []
[]

[Preconditioning]
  [smp]
    type = SMP
    full = true
  []
[]

[Executioner]
  type = Transient
  solve_type = NEWTON
  automatic_scaling = true

  line_search = 'none'
  nl_rel_tol = 1e-12
  nl_abs_tol = 1e-14

  dt = 1
  dtmin = 1
  end_time = 1
[]

[Kernels]
  [solid_disp_x]
    type = ADStressDivergenceShell
    block = '0'
    component = 0
    variable = disp_x
    through_thickness_order = SECOND
  []
  [solid_disp_y]
    type = ADStressDivergenceShell
    block = '0'
    component = 1
    variable = disp_y
    through_thickness_order = SECOND
  []
  [solid_disp_z]
    type = ADStressDivergenceShell
    block = '0'
    component = 2
    variable = disp_z
    through_thickness_order = SECOND
  []
  [solid_rot_x]
    type = ADStressDivergenceShell
    block = '0'
    component = 3
    variable = rot_x
    through_thickness_order = SECOND
  []
  [solid_rot_y]
    type = ADStressDivergenceShell
    block = '0'
    component = 4
    variable = rot_y
    through_thickness_order = SECOND
  []
[]

[Materials]
  [elasticity]
    type = ADComputeIsotropicElasticityTensorShell
    youngs_modulus = 5.0
    poissons_ratio = 0.0
    block = 0
    through_thickness_order = SECOND
  []
  [strain]
    type = ADComputeFiniteShellStrain
    block = '0'
    displacements = 'disp_x disp_y disp_z'
    rotations = 'rot_x rot_y'
    thickness = 0.1
    through_thickness_order = SECOND
  []
  [stress]
    type = ADComputeShellStress
    block = 0
    through_thickness_order = SECOND
  []
[]

[Postprocessors]
  [disp_x]
    type = PointValue
    point = '0.5 0.0 0.0'
    variable = disp_z
  []
  [stress_xx_el_0]
    type = ElementalVariableValue
    elementid = 0
    variable = stress_xx
  []
  [strain_xx_el_0]
    type = ElementalVariableValue
    elementid = 0
    variable = strain_xx
  []
[]

[Outputs]
  exodus = true
[]

(modules/heat_transfer/test/tests/NAFEMS/transient/T3/nafems_t3_hex_template.i)


[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 5
  ny = 1
  nz = 1
  xmin = 0.0
  xmax = 0.1
  ymin = 0.0
  ymax = 0.01
  zmin = 0.0
  zmax = 0.01
  elem_type = HEX8
[]

[Variables]
  [./temp]
    initial_condition = 0.0
  [../]
[]

[BCs]
  [./FixedTempLeft]
    type = DirichletBC
    variable = temp
    boundary = left
    value = 0.0
  [../]
  [./FunctionTempRight]
    type = FunctionDirichletBC
    variable = temp
    boundary = right
    function = '100.0 * sin(pi*t/40)'
  [../]
[]

[Kernels]
  [./heat]
    type = HeatConduction
    variable = temp
  [../]
  [./HeatTdot]
    type = HeatConductionTimeDerivative
    variable = temp
  [../]
[]

[Materials]
  [./density]
    type = GenericConstantMaterial
    prop_names = 'thermal_conductivity specific_heat density'
    prop_values = '35.0 440.5 7200.0'
  [../]
[]

[Executioner]
  type = Transient
  solve_type = 'PJFNK'

  l_tol = 1e-5
  nl_max_its = 50
  nl_rel_tol = 1e-10
  nl_abs_tol = 1e-12

  dt = 1
  end_time = 32.0
[]

[Postprocessors]
  [./target_temp]
    type = NodalVariableValue
    variable = temp
    nodeid = 19
  [../]
[]

[Outputs]
  csv = true
[]

(modules/contact/test/tests/sliding_block/in_and_out/frictionless_penalty_contact_line_search.i)

#  This is a benchmark test that checks constraint based frictionless
#  contact using the penalty method.  In this test a sinusoidal
#  displacement is applied in the horizontal direction to simulate
#  a small block come in and out of contact as it slides down a larger block.
#
#  The sinusoid is of the form 0.4sin(4t)+0.2. The gold file is run
#  on one processor and the benchmark
#  case is run on a minimum of 4 processors to ensure no parallel variability
#  in the contact pressure and penetration results.  Further documentation can
#  found in moose/modules/contact/doc/sliding_block/
#

[Mesh]
  file = sliding_elastic_blocks_2d.e
  patch_size = 80
[]

[GlobalParams]
  volumetric_locking_correction = false
  displacements = 'disp_x disp_y'
[]

[AuxVariables]
  [./penetration]
  [../]
  [./inc_slip_x]
  [../]
  [./inc_slip_y]
  [../]
  [./accum_slip_x]
  [../]
  [./accum_slip_y]
  [../]
[]

[Functions]
  [./vertical_movement]
    type = ParsedFunction
    expression = -t
  [../]
  [./horizontal_movement]
    type = ParsedFunction
    expression = -0.04*sin(4*t)+0.02
  [../]
[]

[Physics/SolidMechanics/QuasiStatic]
  [./all]
    add_variables = true
    strain = FINITE
  [../]
[]

[AuxKernels]
  [./zeroslip_x]
    type = ConstantAux
    variable = inc_slip_x
    boundary = 3
    execute_on = timestep_begin
    value = 0.0
  [../]
  [./zeroslip_y]
    type = ConstantAux
    variable = inc_slip_y
    boundary = 3
    execute_on = timestep_begin
    value = 0.0
  [../]
  [./accum_slip_x]
    type = AccumulateAux
    variable = accum_slip_x
    accumulate_from_variable = inc_slip_x
    execute_on = timestep_end
  [../]
  [./accum_slip_y]
    type = AccumulateAux
    variable = accum_slip_y
    accumulate_from_variable = inc_slip_y
    execute_on = timestep_end
  [../]
  [./penetration]
    type = PenetrationAux
    variable = penetration
    boundary = 3
    paired_boundary = 2
  [../]
[]

[Postprocessors]
  [./nonlinear_its]
    type = NumNonlinearIterations
    execute_on = timestep_end
  [../]
  [./penetration]
    type = NodalVariableValue
    variable = penetration
    nodeid = 222
  [../]
  [./contact_pressure]
    type = NodalVariableValue
    variable = contact_pressure
    nodeid = 222
  [../]
  [./tot_nonlin_it]
    type = CumulativeValuePostprocessor
    postprocessor = nonlinear_its
  [../]
[]

[BCs]
  [./left_x]
    type = DirichletBC
    variable = disp_x
    boundary = 1
    value = 0.0
  [../]
  [./left_y]
    type = DirichletBC
    variable = disp_y
    boundary = 1
    value = 0.0
  [../]
  [./right_x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 4
    function = horizontal_movement
  [../]
  [./right_y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 4
    function = vertical_movement
  [../]
[]

[Materials]
  [./left]
    type = ComputeIsotropicElasticityTensor
    block = '1 2'
    youngs_modulus = 1e6
    poissons_ratio = 0.3
    constant_on = SUBDOMAIN
  [../]
  [./stress]
    type = ComputeFiniteStrainElasticStress
    block = '1 2'
  [../]
[]

[Preconditioning]
  [./smp]
     type = SMP
     full = true
  [../]
[]

[Executioner]
  type = Transient
  solve_type = 'PJFNK'

  petsc_options = '-ksp_monitor_true_residual'
  petsc_options_iname = '-pc_type -pc_factor_mat_solver_type'
  petsc_options_value = 'lu     superlu_dist'

  line_search = 'contact'
  contact_line_search_ltol = .5
  contact_line_search_allowed_lambda_cuts = 0

  l_max_its = 100
  nl_max_its = 20
  dt = 0.1
  end_time = 3
  # num_steps = 30
  l_tol = 1e-6
  nl_rel_tol = 1e-10
  nl_abs_tol = 1e-6
  dtmin = 0.01
[]

[Outputs]
  perf_graph = true
  print_linear_residuals = false
  [./out]
    type = Exodus
    elemental_as_nodal = true
  [../]
  [./console]
    type = Console
    max_rows = 5
  [../]
[]

[Contact]
  [./leftright]
    secondary = 3
    primary = 2
    model = frictionless
    penalty = 1e+7
    formulation = penalty
    normal_smoothing_distance = 0.1
  [../]
[]

(modules/solid_mechanics/test/tests/capped_weak_plane/small_deform11.i)

# use an initial stress, then apply a shear deformation and tensile stretch to observe all hardening.
# Here p_trial=12, q_trial=2*Sqrt(20)
# MOOSE yields:
# q_returned = 1.696
# p_returned = 0.100
# intnl_shear = 1.81
# intnl_tens = 0.886
# These give, at the returned point
# cohesion = 1.84
# tanphi = 0.513
# tanpsi = 0.058
# tensile = 0.412
# This means that
# f_shear = -0.0895
# f_tensile = -0.312
# Note that these are within smoothing_tol (=1) of each other
# Hence, smoothing must be used:
# ismoother = 0.0895
# (which gives the yield function value = 0)
# smoother = 0.328
# This latter gives dg/dq = 0.671, dg/dp = 0.368
# for the flow directions.  Finally ga = 2.70, and
# the returned point satisfies the normality conditions.
[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]


[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]

[Physics/SolidMechanics/QuasiStatic]
  [./all]
    add_variables = true
    incremental = true
    eigenstrain_names = ini_stress
    generate_output = 'stress_xx stress_xy stress_xz stress_yy stress_yz stress_zz plastic_strain_xx plastic_strain_xy plastic_strain_xz plastic_strain_yy plastic_strain_yz plastic_strain_zz strain_xx strain_xy strain_xz strain_yy strain_yz strain_zz'
  [../]
[]

[BCs]
  [./bottomx]
    type = DirichletBC
    variable = disp_x
    boundary = back
    value = 0.0
  [../]
  [./bottomy]
    type = DirichletBC
    variable = disp_y
    boundary = back
    value = 0.0
  [../]
  [./bottomz]
    type = DirichletBC
    variable = disp_z
    boundary = back
    value = 0.0
  [../]

  [./topx]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = front
    function = '0.5*t'
  [../]
  [./topy]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = front
    function = 't'
  [../]
  [./topz]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = front
    function = '0.5*t'
  [../]
[]


[AuxVariables]
  [./f_shear]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f_tensile]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f_compressive]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./intnl_shear]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./intnl_tensile]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./iter]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./ls]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]

[AuxKernels]
  [./f_shear]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 0
    variable = f_shear
  [../]
  [./f_tensile]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 1
    variable = f_tensile
  [../]
  [./f_compressive]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 2
    variable = f_compressive
  [../]
  [./intnl_shear]
    type = MaterialStdVectorAux
    property = plastic_internal_parameter
    index = 0
    variable = intnl_shear
  [../]
  [./intnl_tensile]
    type = MaterialStdVectorAux
    property = plastic_internal_parameter
    index = 1
    variable = intnl_tensile
  [../]
  [./iter]
    type = MaterialRealAux
    property = plastic_NR_iterations
    variable = iter
  [../]
  [./ls]
    type = MaterialRealAux
    property = plastic_linesearch_needed
    variable = ls
  [../]
[]

[Postprocessors]
  [./stress_xx]
    type = PointValue
    point = '0 0 0'
    variable = stress_xx
  [../]
  [./stress_xy]
    type = PointValue
    point = '0 0 0'
    variable = stress_xy
  [../]
  [./stress_xz]
    type = PointValue
    point = '0 0 0'
    variable = stress_xz
  [../]
  [./stress_yy]
    type = PointValue
    point = '0 0 0'
    variable = stress_yy
  [../]
  [./stress_yz]
    type = PointValue
    point = '0 0 0'
    variable = stress_yz
  [../]
  [./stress_zz]
    type = PointValue
    point = '0 0 0'
    variable = stress_zz
  [../]
  [./strainp_xx]
    type = PointValue
    point = '0 0 0'
    variable = plastic_strain_xx
  [../]
  [./strainp_xy]
    type = PointValue
    point = '0 0 0'
    variable = plastic_strain_xy
  [../]
  [./strainp_xz]
    type = PointValue
    point = '0 0 0'
    variable = plastic_strain_xz
  [../]
  [./strainp_yy]
    type = PointValue
    point = '0 0 0'
    variable = plastic_strain_yy
  [../]
  [./strainp_yz]
    type = PointValue
    point = '0 0 0'
    variable = plastic_strain_yz
  [../]
  [./strainp_zz]
    type = PointValue
    point = '0 0 0'
    variable = plastic_strain_zz
  [../]
  [./straint_xx]
    type = PointValue
    point = '0 0 0'
    variable = strain_xx
  [../]
  [./straint_xy]
    type = PointValue
    point = '0 0 0'
    variable = strain_xy
  [../]
  [./straint_xz]
    type = PointValue
    point = '0 0 0'
    variable = strain_xz
  [../]
  [./straint_yy]
    type = PointValue
    point = '0 0 0'
    variable = strain_yy
  [../]
  [./straint_yz]
    type = PointValue
    point = '0 0 0'
    variable = strain_yz
  [../]
  [./straint_zz]
    type = PointValue
    point = '0 0 0'
    variable = strain_zz
  [../]
  [./f_shear]
    type = PointValue
    point = '0 0 0'
    variable = f_shear
  [../]
  [./f_tensile]
    type = PointValue
    point = '0 0 0'
    variable = f_tensile
  [../]
  [./f_compressive]
    type = PointValue
    point = '0 0 0'
    variable = f_compressive
  [../]
  [./intnl_shear]
    type = PointValue
    point = '0 0 0'
    variable = intnl_shear
  [../]
  [./intnl_tensile]
    type = PointValue
    point = '0 0 0'
    variable = intnl_tensile
  [../]
  [./iter]
    type = PointValue
    point = '0 0 0'
    variable = iter
  [../]
  [./ls]
    type = PointValue
    point = '0 0 0'
    variable = ls
  [../]
[]

[UserObjects]
  [./coh]
    type = SolidMechanicsHardeningExponential
    value_0 = 1
    value_residual = 2
    rate = 1
  [../]
  [./tanphi]
    type = SolidMechanicsHardeningExponential
    value_0 = 1.0
    value_residual = 0.5
    rate = 2
  [../]
  [./tanpsi]
    type = SolidMechanicsHardeningExponential
    value_0 = 0.1
    value_residual = 0.05
    rate = 1
  [../]
  [./t_strength]
    type = SolidMechanicsHardeningExponential
    value_0 = 1
    value_residual = 0
    rate = 1
  [../]
  [./c_strength]
    type = SolidMechanicsHardeningConstant
    value = 1E8
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeIsotropicElasticityTensor
    lambda = 4.0
    shear_modulus = 4.0
  [../]
  [./ini_stress]
    type = ComputeEigenstrainFromInitialStress
    initial_stress = '0 0 2 0 0 4 2 4 6'
    eigenstrain_name = ini_stress
  [../]
  [./admissible]
    type = ComputeMultipleInelasticStress
    inelastic_models = stress
    perform_finite_strain_rotations = false
  [../]
  [./stress]
    type = CappedWeakPlaneStressUpdate
    cohesion = coh
    tan_friction_angle = tanphi
    tan_dilation_angle = tanpsi
    tensile_strength = t_strength
    compressive_strength = c_strength
    max_NR_iterations = 20
    tip_smoother = 0
    smoothing_tol = 1
    yield_function_tol = 1E-3
    perfect_guess = false
  [../]
[]


[Executioner]
  end_time = 1
  dt = 1
  type = Transient
[]


[Outputs]
  file_base = small_deform11
  [./csv]
    type = CSV
  [../]
[]

(test/tests/auxscalarkernels/function_scalar_aux/function_scalar_aux.i)

#
# Testing a solution that is second order in space and first order in time
#

[Mesh]
  type = GeneratedMesh
  dim = 2
  xmin = -1
  xmax = 1
  ymin = -1
  ymax = 1
  nx = 10
  ny = 10
  elem_type = QUAD9
[]

[AuxVariables]
  [./x]
    family = SCALAR
    order = FIRST
  [../]
[]

[Variables]
  [./u]
    order = SECOND
    family = LAGRANGE

    [./InitialCondition]
      type = ConstantIC
      value = 0
    [../]
  [../]
[]

[Functions]
  [./forcing_fn]
    type = ParsedFunction
    expression = ((x*x)+(y*y))-(4*t)
  [../]

  [./exact_fn]
    type = ParsedFunction
    expression = t*((x*x)+(y*y))
  [../]

  [./x_fn]
    type = ParsedFunction
    expression = t
  [../]
[]

[AuxScalarKernels]
  [./x_saux]
    type = FunctionScalarAux
    variable = x
    function = x_fn
  [../]
[]

[Kernels]
  [./ie]
    type = TimeDerivative
    variable = u
  [../]

  [./diff]
    type = Diffusion
    variable = u
  [../]

  [./ffn]
    type = BodyForce
    variable = u
    function = forcing_fn
  [../]
[]

[BCs]
  [./all]
    type = FunctionDirichletBC
    variable = u
    boundary = '0 1 2 3'
    function = exact_fn
  [../]
[]

[Postprocessors]
  [./l2_err]
    type = ElementL2Error
    variable = u
    function = exact_fn
  [../]
[]

[Executioner]
  type = Transient
  scheme = 'implicit-euler'

  solve_type = 'PJFNK'

  start_time = 0.0
  num_steps = 5
  dt = 0.25
[]

[Outputs]
  exodus = true
[]

(modules/solid_mechanics/test/tests/thermal_expansion/ad_constant_expansion_coeff.i)

# This test involves only thermal expansion strains on a 2x2x2 cube of approximate
# steel material.  An initial temperature of 25 degrees C is given for the material,
# and an auxkernel is used to calculate the temperature in the entire cube to
# raise the temperature each time step.  After the first timestep,in which the
# temperature jumps, the temperature increases by 6.25C each timestep.
# The thermal strain increment should therefore be
#     6.25 C * 1.3e-5 1/C = 8.125e-5 m/m.

# This test is also designed to be used to identify problems with restart files

[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 2
  ny = 2
  nz = 2
[]

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]

[Variables]
  [./temp]
  [../]
[]

[Functions]
  [./temperature_load]
    type = ParsedFunction
    expression = t*(500.0)+300.0
  [../]
[]

[Physics]
  [SolidMechanics]
    [QuasiStatic]
      [./all]
        strain = SMALL
        incremental = true
        add_variables = true
        eigenstrain_names = eigenstrain
        generate_output = 'strain_xx strain_yy strain_zz'
        use_automatic_differentiation = true
      [../]
    [../]
  [../]
[]

[Kernels]
  [./tempfuncaux]
    type = Diffusion
    variable = temp
  [../]
[]

[BCs]
  [./x_bot]
    type = DirichletBC
    variable = disp_x
    boundary = left
    value = 0.0
  [../]
  [./y_bot]
    type = DirichletBC
    variable = disp_y
    boundary = bottom
    value = 0.0
  [../]
  [./z_bot]
    type = DirichletBC
    variable = disp_z
    boundary = back
    value = 0.0
  [../]
  [./temp]
    type = FunctionDirichletBC
    variable = temp
    function = temperature_load
    boundary = 'left right'
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ADComputeIsotropicElasticityTensor
    youngs_modulus = 2.1e5
    poissons_ratio = 0.3
  [../]
  [./small_stress]
    type = ADComputeFiniteStrainElasticStress
  [../]
  [./thermal_expansion_strain]
    type = ADComputeThermalExpansionEigenstrain
    stress_free_temperature = 298
    thermal_expansion_coeff = 1.3e-5
    temperature = temp
    eigenstrain_name = eigenstrain
  [../]
[]

[Preconditioning]
  [./smp]
    type = SMP
    full = true
  [../]
[]

[Executioner]
  type = Transient
  solve_type = 'NEWTON'

  l_max_its = 50
  nl_max_its = 50
  nl_rel_tol = 1e-12
  nl_abs_tol = 1e-10
  l_tol = 1e-9

  start_time = 0.0
  end_time = 0.075
  dt = 0.0125
  dtmin = 0.0001
[]

[Outputs]
  exodus = true
[]

[Postprocessors]
  [./strain_xx]
    type = ElementAverageValue
    variable = strain_xx
  [../]
  [./strain_yy]
    type = ElementAverageValue
    variable = strain_yy
  [../]
  [./strain_zz]
    type = ElementAverageValue
    variable = strain_zz
  [../]
  [./temperature]
    type = AverageNodalVariableValue
    variable = temp
  [../]
[]

(modules/solid_mechanics/test/tests/thermal_expansion/ad_constant_expansion_stress_free_temp.i)

# This test involves only thermal expansion strains on a 2x2x2 cube of approximate
# steel material; however, in this case the stress free temperature of the material
# has been set to 200K so that there is an initial delta temperature of 100K.

# An initial temperature of 300K is given for the material,
# and an auxkernel is used to calculate the temperature in the entire cube to
# raise the temperature each time step.  The final temperature is 675K
# The thermal strain increment should therefore be
#     (675K - 300K) * 1.3e-5 1/K + 100K * 1.3e-5 1/K = 6.175e-3 m/m.

# This test uses a start up step to identify problems in the calculation of
# eigenstrains with a stress free temperature that is different from the initial
# value of the temperature in the problem

[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 2
  ny = 2
  nz = 2
[]

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]

[Variables]
  [./temp]
    initial_condition = 300.0
  [../]
[]

[AuxVariables]
  [./eigenstrain_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./eigenstrain_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./eigenstrain_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./total_strain_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./total_strain_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./total_strain_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]

[Functions]
  [./temperature_load]
    type = ParsedFunction
    expression = t*(5000.0)+300.0
  [../]
[]

[Physics]
  [SolidMechanics]
    [QuasiStatic]
      [./all]
        strain = SMALL
        incremental = true
        add_variables = true
        eigenstrain_names = eigenstrain
        use_automatic_differentiation = true
      [../]
    [../]
  [../]
[]

[Kernels]
  [./temp]
    type = Diffusion
    variable = temp
  [../]
[]

[AuxKernels]
  [./eigenstrain_yy]
    type = ADRankTwoAux
    rank_two_tensor = eigenstrain
    variable = eigenstrain_yy
    index_i = 1
    index_j = 1
    execute_on = 'initial timestep_end'
  [../]
  [./eigenstrain_xx]
    type = ADRankTwoAux
    rank_two_tensor = eigenstrain
    variable = eigenstrain_xx
    index_i = 0
    index_j = 0
    execute_on = 'initial timestep_end'
  [../]
  [./eigenstrain_zz]
    type = ADRankTwoAux
    rank_two_tensor = eigenstrain
    variable = eigenstrain_zz
    index_i = 2
    index_j = 2
    execute_on = 'initial timestep_end'
  [../]
  [./total_strain_yy]
    type = ADRankTwoAux
    rank_two_tensor = total_strain
    variable = total_strain_yy
    index_i = 1
    index_j = 1
    execute_on = 'initial timestep_end'
  [../]
  [./total_strain_xx]
    type = ADRankTwoAux
    rank_two_tensor = total_strain
    variable = total_strain_xx
    index_i = 0
    index_j = 0
    execute_on = 'initial timestep_end'
  [../]
  [./total_strain_zz]
    type = ADRankTwoAux
    rank_two_tensor = total_strain
    variable = total_strain_zz
    index_i = 2
    index_j = 2
    execute_on = 'initial timestep_end'
  [../]
[]

[BCs]
  [./x_bot]
    type = DirichletBC
    variable = disp_x
    boundary = left
    value = 0.0
  [../]
  [./y_bot]
    type = DirichletBC
    variable = disp_y
    boundary = bottom
    value = 0.0
  [../]
  [./z_bot]
    type = DirichletBC
    variable = disp_z
    boundary = back
    value = 0.0
  [../]
  [./temp]
    type = FunctionDirichletBC
    variable = temp
    function = temperature_load
    boundary = 'left right'
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ADComputeIsotropicElasticityTensor
    youngs_modulus = 2.1e5
    poissons_ratio = 0.3
  [../]
  [./small_stress]
    type = ADComputeFiniteStrainElasticStress
  [../]
  [./thermal_expansion_strain]
    type = ADComputeThermalExpansionEigenstrain
    stress_free_temperature = 200
    thermal_expansion_coeff = 1.3e-5
    temperature = temp
    eigenstrain_name = eigenstrain
  [../]
[]

[Preconditioning]
  [./smp]
    type = SMP
    full = true
  [../]
[]

[Executioner]
  type = Transient
  solve_type = 'NEWTON'

  l_max_its = 50
  nl_max_its = 50
  nl_rel_tol = 1e-12
  nl_abs_tol = 1e-10
  l_tol = 1e-9

  start_time = -0.0125
  n_startup_steps = 1
  end_time = 0.075
  dt = 0.0125
  dtmin = 0.0001
[]

[Outputs]
  exodus = true
[]

[Postprocessors]
  [./eigenstrain_xx]
    type = ElementAverageValue
    variable = eigenstrain_xx
    execute_on = 'initial timestep_end'
  [../]
  [./eigenstrain_yy]
    type = ElementAverageValue
    variable = eigenstrain_yy
    execute_on = 'initial timestep_end'
  [../]
  [./eigenstrain_zz]
    type = ElementAverageValue
    variable = eigenstrain_zz
    execute_on = 'initial timestep_end'
  [../]
  [./total_strain_xx]
    type = ElementAverageValue
    variable = total_strain_xx
    execute_on = 'initial timestep_end'
  [../]
  [./total_strain_yy]
    type = ElementAverageValue
    variable = total_strain_yy
    execute_on = 'initial timestep_end'
  [../]
  [./total_strain_zz]
    type = ElementAverageValue
    variable = total_strain_zz
    execute_on = 'initial timestep_end'
  [../]
  [./temperature]
    type = AverageNodalVariableValue
    variable = temp
    execute_on = 'initial timestep_end'
  [../]
[]

(modules/solid_mechanics/test/tests/lagrangian/cartesian/updated/convergence/1D/dirichlet.i)

# Simple 1D plane strain test

[GlobalParams]
  displacements = 'disp_x'
  large_kinematics = true
[]

[Variables]
  [disp_x]
  []
[]

[Mesh]
  [msh]
    type = GeneratedMeshGenerator
    dim = 1
    nx = 10
  []
[]

[Kernels]
  [sdx]
    type = UpdatedLagrangianStressDivergence
    variable = disp_x
    component = 0
    use_displaced_mesh = true
  []
[]

[Functions]
  [pull]
    type = ParsedFunction
    expression = '0.06 * t'
  []
[]

[BCs]
  [leftx]
    type = DirichletBC
    preset = true
    boundary = right
    variable = disp_x
    value = 0.0
  []
  [pull]
    type = FunctionDirichletBC
    boundary = left
    variable = disp_x
    function = pull
    preset = true
  []
[]

[Materials]
  [elastic_tensor]
    type = ComputeIsotropicElasticityTensor
    youngs_modulus = 100000.0
    poissons_ratio = 0.3
  []
  [stress_base]
    type = ComputeLagrangianLinearElasticStress
  []
  [compute_strain]
    type = ComputeLagrangianStrain
  []
[]

[Preconditioning]
  [smp]
    type = SMP
    full = true
  []
[]

[Executioner]
  type = Transient

  solve_type = 'newton'
  line_search = none

  petsc_options_iname = '-pc_type'
  petsc_options_value = 'lu'

  l_max_its = 2
  l_tol = 1e-14
  nl_max_its = 15
  nl_rel_tol = 1e-8
  nl_abs_tol = 1e-10

  start_time = 0.0
  dt = 1.0
  dtmin = 1.0
  end_time = 5.0
[]

[Postprocessors]
  [nonlin]
    type = NumNonlinearIterations
  []
[]

[Outputs]
  exodus = false
  csv = true
[]

(modules/solid_mechanics/test/tests/capped_weak_plane/small_deform6.i)

# Plastic deformation, both tensile and shear failure
[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]

[Physics/SolidMechanics/QuasiStatic]
  [./all]
    add_variables = true
    incremental = true
    generate_output = 'stress_xx stress_xy stress_xz stress_yy stress_yz stress_zz plastic_strain_xx plastic_strain_xy plastic_strain_xz plastic_strain_yy plastic_strain_yz plastic_strain_zz strain_xx strain_xy strain_xz strain_yy strain_yz strain_zz'
  [../]
[]

[BCs]
  [./bottomx]
    type = DirichletBC
    variable = disp_x
    boundary = back
    value = 0.0
  [../]
  [./bottomy]
    type = DirichletBC
    variable = disp_y
    boundary = back
    value = 0.0
  [../]
  [./bottomz]
    type = DirichletBC
    variable = disp_z
    boundary = back
    value = 0.0
  [../]

  [./topx]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = front
    function = 'if(t<30,0.2*t,6)'
  [../]
  [./topy]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = front
    function = 'if(t<30,if(t<10,0,t),30-0.2*t)'
  [../]
  [./topz]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = front
    function = 'if(t<15,3*t,45)+if(t<30,0,45-3*t)'
  [../]
[]

[AuxVariables]
  [./f_shear]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f_tensile]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f_compressive]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./intnl_shear]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./intnl_tensile]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./iter]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./ls]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]

[AuxKernels]
  [./f_shear]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 0
    variable = f_shear
  [../]
  [./f_tensile]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 1
    variable = f_tensile
  [../]
  [./f_compressive]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 2
    variable = f_compressive
  [../]
  [./intnl_shear]
    type = MaterialStdVectorAux
    property = plastic_internal_parameter
    index = 0
    variable = intnl_shear
  [../]
  [./intnl_tensile]
    type = MaterialStdVectorAux
    property = plastic_internal_parameter
    index = 1
    variable = intnl_tensile
  [../]
  [./iter]
    type = MaterialRealAux
    property = plastic_NR_iterations
    variable = iter
  [../]
  [./ls]
    type = MaterialRealAux
    property = plastic_linesearch_needed
    variable = ls
  [../]
[]

[Postprocessors]
  [./stress_xx]
    type = PointValue
    point = '0 0 0'
    variable = stress_xx
  [../]
  [./stress_xy]
    type = PointValue
    point = '0 0 0'
    variable = stress_xy
  [../]
  [./stress_xz]
    type = PointValue
    point = '0 0 0'
    variable = stress_xz
  [../]
  [./stress_yy]
    type = PointValue
    point = '0 0 0'
    variable = stress_yy
  [../]
  [./stress_yz]
    type = PointValue
    point = '0 0 0'
    variable = stress_yz
  [../]
  [./stress_zz]
    type = PointValue
    point = '0 0 0'
    variable = stress_zz
  [../]
  [./strainp_xx]
    type = PointValue
    point = '0 0 0'
    variable = plastic_strain_xx
  [../]
  [./strainp_xy]
    type = PointValue
    point = '0 0 0'
    variable = plastic_strain_xy
  [../]
  [./strainp_xz]
    type = PointValue
    point = '0 0 0'
    variable = plastic_strain_xz
  [../]
  [./strainp_yy]
    type = PointValue
    point = '0 0 0'
    variable = plastic_strain_yy
  [../]
  [./strainp_yz]
    type = PointValue
    point = '0 0 0'
    variable = plastic_strain_yz
  [../]
  [./strainp_zz]
    type = PointValue
    point = '0 0 0'
    variable = plastic_strain_zz
  [../]
  [./straint_xx]
    type = PointValue
    point = '0 0 0'
    variable = strain_xx
  [../]
  [./straint_xy]
    type = PointValue
    point = '0 0 0'
    variable = strain_xy
  [../]
  [./straint_xz]
    type = PointValue
    point = '0 0 0'
    variable = strain_xz
  [../]
  [./straint_yy]
    type = PointValue
    point = '0 0 0'
    variable = strain_yy
  [../]
  [./straint_yz]
    type = PointValue
    point = '0 0 0'
    variable = strain_yz
  [../]
  [./straint_zz]
    type = PointValue
    point = '0 0 0'
    variable = strain_zz
  [../]
  [./f_shear]
    type = PointValue
    point = '0 0 0'
    variable = f_shear
  [../]
  [./f_tensile]
    type = PointValue
    point = '0 0 0'
    variable = f_tensile
  [../]
  [./f_compressive]
    type = PointValue
    point = '0 0 0'
    variable = f_compressive
  [../]
  [./intnl_shear]
    type = PointValue
    point = '0 0 0'
    variable = intnl_shear
  [../]
  [./intnl_tensile]
    type = PointValue
    point = '0 0 0'
    variable = intnl_tensile
  [../]
  [./iter]
    type = PointValue
    point = '0 0 0'
    variable = iter
  [../]
  [./ls]
    type = PointValue
    point = '0 0 0'
    variable = ls
  [../]
[]


[UserObjects]
  [./coh]
    type = SolidMechanicsHardeningConstant
    value = 20
  [../]
  [./tanphi]
    type = SolidMechanicsHardeningConstant
    value = 0.5
  [../]
  [./tanpsi]
    type = SolidMechanicsHardeningConstant
    value = 0.1
  [../]
  [./t_strength]
    type = SolidMechanicsHardeningConstant
    value = 20
  [../]
  [./c_strength]
    type = SolidMechanicsHardeningConstant
    value = 0
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    fill_method = symmetric_isotropic
    C_ijkl = '4 4'
  [../]
  [./admissible]
    type = ComputeMultipleInelasticStress
    inelastic_models = stress
    perform_finite_strain_rotations = false
  [../]
  [./stress]
    type = CappedWeakPlaneStressUpdate
    cohesion = coh
    tan_friction_angle = tanphi
    tan_dilation_angle = tanpsi
    tensile_strength = t_strength
    compressive_strength = c_strength
    max_NR_iterations = 20
    tip_smoother = 5
    smoothing_tol = 5
    yield_function_tol = 1E-10
    perfect_guess = false
  [../]
[]

[Executioner]
  end_time = 40
  dt = 1
  type = Transient
[]

[Outputs]
  file_base = small_deform6
  csv = true
[]

(test/tests/executioners/executioner/sln-time-adapt.i)

[Mesh]
  type = GeneratedMesh
  dim = 2
  xmin = -1
  xmax = 1
  ymin = -1
  ymax = 1
  nx = 10
  ny = 10
  elem_type = QUAD4
[]

[Variables]
  active = 'u'

  [./u]
    order = FIRST
    family = LAGRANGE

    [./InitialCondition]
      type = ConstantIC
      value = 0
    [../]
  [../]
[]

[Functions]
  [./forcing_fn]
    type = ParsedFunction
    # dudt = 3*t^2*(x^2 + y^2)
    expression = 3*t*t*((x*x)+(y*y))-(4*t*t*t)
  [../]

  [./exact_fn]
    type = ParsedFunction
    expression = t*t*t*((x*x)+(y*y))
  [../]
[]

[Kernels]
  active = 'diff ie ffn'

  [./ie]
    type = TimeDerivative
    variable = u
  [../]

  [./diff]
    type = Diffusion
    variable = u
  [../]

  [./ffn]
    type = BodyForce
    variable = u
    function = forcing_fn
  [../]
[]

[BCs]
  active = 'all'

  [./all]
    type = FunctionDirichletBC
    variable = u
    boundary = '0 1 2 3'
    function = exact_fn
  [../]

  [./left]
    type = DirichletBC
    variable = u
    boundary = 3
    value = 0
  [../]

  [./right]
    type = DirichletBC
    variable = u
    boundary = 1
    value = 1
  [../]
[]

[Postprocessors]
  [./l2_err]
    type = ElementL2Error
    variable = u
    function = exact_fn
  [../]

  [./dt]
    type = TimestepSize
  [../]
[]

[Executioner]
  type = Transient
  [./TimeStepper]
    type = SolutionTimeAdaptiveDT
    dt = 0.1
  [../]
  scheme = 'implicit-euler'

  solve_type = 'PJFNK'

  start_time = 0.0
  num_steps = 5
[]

[Outputs]
  execute_on = 'timestep_end'
  file_base = out_sta
  exodus = true
[]

(test/tests/geomsearch/2d_moving_penetration/pl_test4q.i)

[GlobalParams]
  order = SECOND
  family = LAGRANGE
[]

[Mesh]
  file = pl_test4q.e
  displacements = 'disp_x disp_y'
[]

[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
[]

[AuxVariables]
  [./distance]
  [../]
  [./tangential_distance]
  [../]
  [./normal_x]
  [../]
  [./normal_y]
  [../]
  [./closest_point_x]
  [../]
  [./closest_point_y]
  [../]
  [./element_id]
  [../]
  [./side]
  [../]
[]

[Kernels]
  [./diff_x]
    type = Diffusion
    variable = disp_x
  [../]
  [./diff_y]
    type = Diffusion
    variable = disp_y
  [../]
[]

[AuxKernels]
  [./penetrate]
    type = PenetrationAux
    variable = distance
    boundary = 11            #secondary
    paired_boundary = 12     #primary
  [../]

  [./penetrate2]
    type = PenetrationAux
    variable = distance
    boundary = 12            #secondary
    paired_boundary = 11     #primary
  [../]

  [./penetrate3]
    type = PenetrationAux
    variable = tangential_distance
    boundary = 11
    paired_boundary = 12
    quantity = tangential_distance
  [../]

  [./penetrate4]
    type = PenetrationAux
    variable = tangential_distance
    boundary = 12
    paired_boundary = 11
    quantity = tangential_distance
  [../]

  [./penetrate5]
    type = PenetrationAux
    variable = normal_x
    boundary = 11
    paired_boundary = 12
    quantity = normal_x
  [../]

  [./penetrate6]
    type = PenetrationAux
    variable = normal_x
    boundary = 12
    paired_boundary = 11
    quantity = normal_x
  [../]

  [./penetrate7]
    type = PenetrationAux
    variable = normal_y
    boundary = 11
    paired_boundary = 12
    quantity = normal_y
  [../]

  [./penetrate8]
    type = PenetrationAux
    variable = normal_y
    boundary = 12
    paired_boundary = 11
    quantity = normal_y
  [../]

  [./penetrate9]
    type = PenetrationAux
    variable = closest_point_x
    boundary = 11
    paired_boundary = 12
    quantity = closest_point_x
  [../]

  [./penetrate10]
    type = PenetrationAux
    variable = closest_point_x
    boundary = 12
    paired_boundary = 11
    quantity = closest_point_x
  [../]

  [./penetrate11]
    type = PenetrationAux
    variable = closest_point_y
    boundary = 11
    paired_boundary = 12
    quantity = closest_point_y
  [../]

  [./penetrate12]
    type = PenetrationAux
    variable = closest_point_y
    boundary = 12
    paired_boundary = 11
    quantity = closest_point_y
  [../]

  [./penetrate13]
    type = PenetrationAux
    variable = element_id
    boundary = 11
    paired_boundary = 12
    quantity = element_id
  [../]

  [./penetrate14]
    type = PenetrationAux
    variable = element_id
    boundary = 12
    paired_boundary = 11
    quantity = element_id
  [../]

  [./penetrate15]
    type = PenetrationAux
    variable = side
    boundary = 11
    paired_boundary = 12
    quantity = side
  [../]

  [./penetrate16]
    type = PenetrationAux
    variable = side
    boundary = 12
    paired_boundary = 11
    quantity = side
  [../]
[]

[BCs]
  [./b1x]
    type = DirichletBC
    variable = disp_x
    boundary = 1
    value = 0
  [../]

  [./b1y]
    type = DirichletBC
    variable = disp_y
    boundary = 1
    value = 0
  [../]

  [./b2x]
    type = DirichletBC
    variable = disp_x
    boundary = 2
    value = 0
  [../]

  [./b2y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 2
    function = disp_y
  [../]
[]

[Functions]
  [./disp_y]
    type = PiecewiseLinear
    x = '0.0 0.25 0.75 1.0'
    y = '0.0 2.0 -2.0  0.0'
  [../]
[]

[Executioner]
  type = Transient

  solve_type = 'PJFNK'
  petsc_options = '-snes_ksp_ew'

  nl_rel_tol = 1.e-9
  l_max_its = 10

  start_time = 0.0
  dt = 0.02
  end_time = 1.0
  [./Quadrature]
    order = THIRD
  [../]
[]

[Outputs]
  file_base = pl_test4q_out
  exodus = true
[]

(modules/solid_mechanics/test/tests/multi/three_surface21.i)

# Plasticit models:
# SimpleTester0 with a = 0 and b = 1 and strength = 1
# SimpleTester1 with a = 1 and b = 0 and strength = 1
# SimpleTester2 with a = 1 and b = 1 and strength = 1.5
#
# Lame lambda = 0 (Poisson=0).  Lame mu = 0.5E6
#
# A single element is stretched by 2.0E-6m in y direction and 2.0E-6 in z direction.
# trial stress_yy = 2.0 and stress_zz = 2.0
#
# Then all yield functions will activate
# However, there is linear dependence.  SimpleTester1 or SimpleTester0 will be rutned off (they are equi-distant).
# The algorithm will return to one corner point, but there will be negative plastic multipliers
# so the other SimpleTester0 or SimpleTester1 will turn off, and the algorithm will return to
# stress_yy=0.75 and stress_zz=0.75
# internal2=1.25


[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]


[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
[]

[Kernels]
  [SolidMechanics]
    displacements = 'disp_x disp_y disp_z'
  [../]
[]


[BCs]
  [./x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'front back'
    function = '0E-6*x'
  [../]
  [./y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'front back'
    function = '2.0E-6*y'
  [../]
  [./z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'front back'
    function = '2.0E-6*z'
  [../]
[]

[AuxVariables]
  [./stress_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f0]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f1]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f2]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./int0]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./int1]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./int2]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]

[AuxKernels]
  [./stress_xx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xx
    index_i = 0
    index_j = 0
  [../]
  [./stress_xy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xy
    index_i = 0
    index_j = 1
  [../]
  [./stress_xz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xz
    index_i = 0
    index_j = 2
  [../]
  [./stress_yy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yy
    index_i = 1
    index_j = 1
  [../]
  [./stress_yz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yz
    index_i = 1
    index_j = 2
  [../]
  [./stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zz
    index_i = 2
    index_j = 2
  [../]
  [./f0]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 0
    variable = f0
  [../]
  [./f1]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 1
    variable = f1
  [../]
  [./f2]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 2
    variable = f2
  [../]
  [./int0]
    type = MaterialStdVectorAux
    property = plastic_internal_parameter
    factor = 1E6
    index = 0
    variable = int0
  [../]
  [./int1]
    type = MaterialStdVectorAux
    property = plastic_internal_parameter
    factor = 1E6
    index = 1
    variable = int1
  [../]
  [./int2]
    type = MaterialStdVectorAux
    property = plastic_internal_parameter
    factor = 1E6
    index = 2
    variable = int2
  [../]
[]

[Postprocessors]
  [./s_xx]
    type = PointValue
    point = '0 0 0'
    variable = stress_xx
  [../]
  [./s_xy]
    type = PointValue
    point = '0 0 0'
    variable = stress_xy
  [../]
  [./s_xz]
    type = PointValue
    point = '0 0 0'
    variable = stress_xz
  [../]
  [./s_yy]
    type = PointValue
    point = '0 0 0'
    variable = stress_yy
  [../]
  [./s_yz]
    type = PointValue
    point = '0 0 0'
    variable = stress_yz
  [../]
  [./s_zz]
    type = PointValue
    point = '0 0 0'
    variable = stress_zz
  [../]
  [./f0]
    type = PointValue
    point = '0 0 0'
    variable = f0
  [../]
  [./f1]
    type = PointValue
    point = '0 0 0'
    variable = f1
  [../]
  [./f2]
    type = PointValue
    point = '0 0 0'
    variable = f2
  [../]
  [./int0]
    type = PointValue
    point = '0 0 0'
    variable = int0
  [../]
  [./int1]
    type = PointValue
    point = '0 0 0'
    variable = int1
  [../]
  [./int2]
    type = PointValue
    point = '0 0 0'
    variable = int2
  [../]
[]

[UserObjects]
  [./simple0]
    type = SolidMechanicsPlasticSimpleTester
    a = 0
    b = 1
    strength = 1
    yield_function_tolerance = 1.0E-9
    internal_constraint_tolerance = 1.0E-9
  [../]
  [./simple1]
    type = SolidMechanicsPlasticSimpleTester
    a = 1
    b = 0
    strength = 1
    yield_function_tolerance = 1.0E-9
    internal_constraint_tolerance = 1.0E-9
  [../]
  [./simple2]
    type = SolidMechanicsPlasticSimpleTester
    a = 1
    b = 1
    strength = 1.5
    yield_function_tolerance = 1.0E-9
    internal_constraint_tolerance = 1.0E-9
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    block = 0
    fill_method = symmetric_isotropic
    C_ijkl = '0 0.5E6'
  [../]
  [./strain]
    type = ComputeFiniteStrain
    block = 0
    displacements = 'disp_x disp_y disp_z'
  [../]
  [./multi]
    type = ComputeMultiPlasticityStress
    block = 0
    ep_plastic_tolerance = 1E-9
    plastic_models = 'simple0 simple1 simple2'
    max_NR_iterations = 2
    min_stepsize = 1
    debug_fspb = crash
    debug_jac_at_stress = '10 0 0 0 10 0 0 0 10'
    debug_jac_at_pm = '1 1'
    debug_jac_at_intnl = '1 1'
    debug_stress_change = 1E-5
    debug_pm_change = '1E-6 1E-6'
    debug_intnl_change = '1E-6 1E-6'
  [../]
[]


[Executioner]
  end_time = 1
  dt = 1
  type = Transient
[]


[Outputs]
  file_base = three_surface21
  exodus = false
  [./csv]
    type = CSV
    [../]
[]

(modules/solid_mechanics/tutorials/basics/part_2.3.i)

#Tensor Mechanics tutorial: the basics
#Step 2, part 3
#2D axisymmetric RZ simulation of uniaxial tension with J2 plasticity with no
#hardening

[GlobalParams]
  displacements = 'disp_r disp_z'
[]

[Problem]
  coord_type = RZ
[]

[Mesh]
  file = necking_quad4.e
  uniform_refine = 0
  second_order = true
[]

[Physics/SolidMechanics/QuasiStatic]
  [./block1]
    strain = FINITE
    add_variables = true
    generate_output = 'stress_yy strain_yy' #use the yy option to get the zz component in axisymmetric coords
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeIsotropicElasticityTensor
    youngs_modulus = 2.1e5
    poissons_ratio = 0.3
  [../]
  [./stress]
    type = ComputeMultiPlasticityStress
    ep_plastic_tolerance = 1e-9
    plastic_models = J2
  [../]
[]

[UserObjects]
  [./str]
    type = SolidMechanicsHardeningConstant
    value = 2.4e2
  [../]
  [./J2]
    type = SolidMechanicsPlasticJ2
    yield_strength = str
    yield_function_tolerance = 1E-3
    internal_constraint_tolerance = 1E-9
  [../]
[]

[BCs]
  [./left]
    type = DirichletBC
    variable = disp_r
    boundary = left
    value = 0.0
  [../]
  [./bottom]
    type = DirichletBC
    variable = disp_z
    boundary = bottom
    value = 0.0
  [../]
  [./top]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = top
    function = '0.0007*t'
  [../]
[]

[Preconditioning]
  [./SMP]
    type = SMP
    full = true
  [../]
[]

[Executioner]
  type = Transient
  dt = 0.25
  end_time = 20

  solve_type = 'PJFNK'

  petsc_options = '-snes_ksp_ew'
  petsc_options_iname = '-pc_type -sub_pc_type -pc_asm_overlap -ksp_gmres_restart'
  petsc_options_value = 'asm lu 1 101'
[]

[Postprocessors]
  [./ave_stress_bottom]
    type = SideAverageValue
    variable = stress_yy
    boundary = bottom
  [../]
  [./ave_strain_bottom]
    type = SideAverageValue
    variable = strain_yy
    boundary = bottom
  [../]
[]

[Outputs]
  exodus = true
  perf_graph = true
  csv = true
  print_linear_residuals = false
[]

(modules/combined/test/tests/thermal_strain/thermal_strain.i)

# Patch Test

# This test is designed to compute displacements from a thermal strain.

# The cube is displaced by 1e-6 units in x, 2e-6 in y, and 3e-6 in z.
#  The faces are sheared as well (1e-6, 2e-6, and 3e-6 for xy, yz, and
#  zx).  This gives a uniform strain/stress state for all six unique
#  tensor components.

# The temperature moves 100 degrees, and the coefficient of thermal
#  expansion is 1e-6.  Therefore, the strain (and the displacement
#  since this is a unit cube) is 1e-4.
[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]

[Mesh]
  file = thermal_strain_test.e
[]

[Functions]
  [./tempFunc]
    type = PiecewiseLinear
    x = '0. 1.'
    y = '117.56 217.56'
  [../]
[]

[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]

  [./temp]
    initial_condition = 117.56
  [../]
[]

[Physics/SolidMechanics/QuasiStatic]
  add_variables = true
  strain = SMALL
  incremental = true
  generate_output = 'stress_xx stress_yy stress_zz stress_xy stress_yz stress_zx'
  temperature = temp

  [./block1]
    eigenstrain_names = eigenstrain1
    block = 1
  [../]
  [./block2]
    eigenstrain_names = eigenstrain2
    block = 2
  [../]
  [./block3]
    eigenstrain_names = eigenstrain3
    block = 3
  [../]
  [./block4]
    eigenstrain_names = eigenstrain4
    block = 4
  [../]
  [./block5]
    eigenstrain_names = eigenstrain5
    block = 5
  [../]
  [./block6]
    eigenstrain_names = eigenstrain6
    block = 6
  [../]
  [./block7]
    eigenstrain_names = eigenstrain7
    block = 7
  [../]
[]

[Kernels]
  [./heat]
    type = HeatConduction
    variable = temp
  [../]
[]

[BCs]
  [./no_x]
    type = DirichletBC
    variable = disp_x
    boundary = 10
    value = 0.0
  [../]
  [./no_y]
    type = DirichletBC
    variable = disp_y
    boundary = 9
    value = 0.0
  [../]
  [./no_z]
    type = DirichletBC
    variable = disp_z
    boundary = 14
    value = 0
  [../]

  [./temp]
    type = FunctionDirichletBC
    variable = temp
    boundary = '10 12'
    function = tempFunc
  [../]
[]

[Materials]
  [./elasticity_tensor1]
    type = ComputeIsotropicElasticityTensor
    block = 1
    bulk_modulus = 0.333333333333e6
    poissons_ratio = 0.0
  [../]
  [./thermal_strain1]
    type = ComputeThermalExpansionEigenstrain
    block = 1
    temperature = temp
    stress_free_temperature = 117.56
    thermal_expansion_coeff = 1e-6
    eigenstrain_name = eigenstrain1
  [../]
  [./stress1]
    type = ComputeStrainIncrementBasedStress
    block = 1
  [../]

  [./elasticity_tensor2]
    type = ComputeIsotropicElasticityTensor
    block = 2
    bulk_modulus = 0.333333333333e6
    lambda = 0.0
  [../]
  [./thermal_strain2]
    type = ComputeThermalExpansionEigenstrain
    block = 2
    temperature = temp
    stress_free_temperature = 117.56
    thermal_expansion_coeff = 1e-6
    eigenstrain_name = eigenstrain2
  [../]
  [./stress2]
    type = ComputeStrainIncrementBasedStress
    block = 2
  [../]

  [./elasticity_tensor3]
    type = ComputeIsotropicElasticityTensor
    block = 3
    youngs_modulus = 1e6
    poissons_ratio = 0.0
  [../]
  [./thermal_strain3]
    type = ComputeThermalExpansionEigenstrain
    block = 3
    temperature = temp
    stress_free_temperature = 117.56
    thermal_expansion_coeff = 1e-6
    eigenstrain_name = eigenstrain3
  [../]
  [./stress3]
    type = ComputeStrainIncrementBasedStress
    block = 3
  [../]

  [./elasticity_tensor4]
    type = ComputeIsotropicElasticityTensor
    block = 4
    youngs_modulus = 1e6
    poissons_ratio = 0.0
  [../]
  [./thermal_strain4]
    type = ComputeThermalExpansionEigenstrain
    block = 4
    temperature = temp
    stress_free_temperature = 117.56
    thermal_expansion_coeff = 1e-6
    eigenstrain_name = eigenstrain4
  [../]
  [./stress4]
    type = ComputeStrainIncrementBasedStress
    block = 4
  [../]

  [./elasticity_tensor5]
    type = ComputeIsotropicElasticityTensor
    block = 5
    youngs_modulus = 1e6
    lambda = 0.0
  [../]
  [./thermal_strain5]
    type = ComputeThermalExpansionEigenstrain
    block = 5
    temperature = temp
    stress_free_temperature = 117.56
    thermal_expansion_coeff = 1e-6
    eigenstrain_name = eigenstrain5
  [../]
  [./stress5]
    type = ComputeStrainIncrementBasedStress
    block = 5
  [../]

  [./elasticity_tensor6]
    type = ComputeIsotropicElasticityTensor
    block = 6
    youngs_modulus = 1e6
    shear_modulus = 5e5
  [../]
  [./thermal_strain6]
    type = ComputeThermalExpansionEigenstrain
    block = 6
    temperature = temp
    stress_free_temperature = 117.56
    thermal_expansion_coeff = 1e-6
    eigenstrain_name = eigenstrain6
  [../]
  [./stress6]
    type = ComputeStrainIncrementBasedStress
    block = 6
  [../]

  [./elasticity_tensor7]
    type = ComputeIsotropicElasticityTensor
    block = 7
    shear_modulus = 5e5
    poissons_ratio = 0.0
  [../]
  [./thermal_strain7]
    type = ComputeThermalExpansionEigenstrain
    block = 7
    temperature = temp
    stress_free_temperature = 117.56
    thermal_expansion_coeff = 1e-6
    eigenstrain_name = eigenstrain7
  [../]
  [./stress7]
    type = ComputeStrainIncrementBasedStress
    block = 7
  [../]

  [./heat]
    type = HeatConductionMaterial
    block = '1 2 3 4 5 6 7'
    specific_heat = 1.0
    thermal_conductivity = 1.0
  [../]

  [./density]
    type = Density
    block = '1 2 3 4 5 6 7'
    density = 1.0
  [../]
[]

[Executioner]
  type = Transient
  solve_type = 'PJFNK'

  nl_abs_tol = 1e-10

  l_max_its = 20

  start_time = 0.0
  dt = 0.5
  num_steps = 2
  end_time = 1.0
[]

[Outputs]
  exodus = true
[]

(modules/heat_transfer/test/tests/truss_heat_conduction/block_w_line.i)

[Mesh]
  parallel_type = 'replicated'
  [block]
    type = GeneratedMeshGenerator
    dim = 3
    nx = 3
    ny = 50
    nz = 1
    xmin = -0.5
    xmax = 0.5
    ymin = -1.25
    ymax = 1.25
    zmin = -0.04
    zmax = 0.04
    boundary_name_prefix = block
  []
  [block_id]
    type = SubdomainIDGenerator
    input = block
    subdomain_id = 1
  []
  [line]
    type = GeneratedMeshGenerator
    dim = 1
    xmin = -0.5
    xmax = 0.5
    nx = 10
    boundary_name_prefix = line
    boundary_id_offset = 10
  []
  [line_id]
    type = SubdomainIDGenerator
    input = line
    subdomain_id = 2
  []
  [combined]
    type = MeshCollectionGenerator
    inputs = 'block_id line_id'
  []
  [line_rename]
    type = RenameBlockGenerator
    input = combined
    old_block = '1 2'
    new_block = 'block line'
  []
[]

[Variables]
  [temperature]
  []
[]

[Kernels]
  [time_derivative]
    type = HeatConductionTimeDerivative
    variable = temperature
    block = 'block'
  []
  [heat_conduction]
    type = HeatConduction
    variable = temperature
    block = 'block'
  []
  [time_derivative_line]
    type = TrussHeatConductionTimeDerivative
    variable = temperature
    area = area
    block = 'line'
  []
  [heat_conduction_line]
    type = TrussHeatConduction
    variable = temperature
    area = area
    block = 'line'
  []
[]

[AuxVariables]
  [area]
    order = CONSTANT
    family = MONOMIAL
  []
[]

[AuxKernels]
  [area]
    type = ConstantAux
    variable = area
    value = 0.008
    execute_on = 'initial timestep_begin'
  []
[]

[Constraints]
  [equalvalue]
    type = EqualValueEmbeddedConstraint
    secondary = 'line'
    primary = 'block'
    penalty = 1e6
    formulation = kinematic
    primary_variable = temperature
    variable = temperature
  []
[]

[Materials]
  [block]
    type = GenericConstantMaterial
    block = 'block'
    prop_names =  'thermal_conductivity specific_heat density'
    prop_values = '1.0                 1.0           1.0' # W/(cm K), J/(g K), g/cm^3
  []
  [line]
    type = GenericConstantMaterial
    block = 'line'
    prop_names =  'thermal_conductivity specific_heat density'
    prop_values = '10.0                 1.0           1.0' # W/(cm K), J/(g K), g/cm^3
  []
[]

[BCs]
  [right]
    type = FunctionDirichletBC
    variable = temperature
    boundary = 'block_right line_right'
    function = '10*t'
  []
[]

[VectorPostprocessors]
  [x_n0_25]
    type = LineValueSampler
    start_point = '-0.25 0 0'
    end_point = '-0.25 1.25 0'
    num_points = 100
    variable = 'temperature'
    sort_by = id
  []
  [x_0_25]
    type = LineValueSampler
    start_point = '0.25 0 0'
    end_point = '0.25 1.25 0'
    num_points = 100
    variable = 'temperature'
    sort_by = id
  []
[]

[Executioner]
  type = Transient
  start_time = 0
  dt = 1
  end_time = 1
  solve_type = 'PJFNK'
  petsc_options_iname = '-pc_type'
  petsc_options_value = 'lu'
  nl_rel_tol = 1e-12
[]

[Outputs]
  exodus = true
  [csv]
    type = CSV
    file_base = 'csv/block_w_line'
    time_data = true
  []
[]

(modules/solid_mechanics/test/tests/capped_mohr_coulomb/small_deform6.i)

# Using CappedMohrCoulomb with tensile failure only
# A single element is incrementally stretched in the in the z direction
# This causes the return direction to be along the hypersurface sigma_II = sigma_III,
# and the resulting stresses are checked to lie on the expected yield surface

[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]
[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]

[Physics/SolidMechanics/QuasiStatic]
  [./all]
    add_variables = true
    strain = finite
    incremental = true
    generate_output = 'max_principal_stress mid_principal_stress min_principal_stress stress_xx stress_xy stress_xz stress_yy stress_yz stress_zz'
  [../]
[]

[BCs]
  [./x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'front back'
    function = '4*x*t'
  [../]
  [./y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'front back'
    function = 'y*(t-0.5)'
  [../]
  [./z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'front back'
    function = 'z*(t-0.5)'
  [../]
[]

[AuxVariables]
  [./yield_fcn]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]

[AuxKernels]
  [./yield_fcn_auxk]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 0
    variable = yield_fcn
  [../]
[]

[Postprocessors]
  [./s_I]
    type = PointValue
    point = '0 0 0'
    variable = max_principal_stress
  [../]
  [./s_II]
    type = PointValue
    point = '0 0 0'
    variable = mid_principal_stress
  [../]
  [./s_III]
    type = PointValue
    point = '0 0 0'
    variable = min_principal_stress
  [../]
  [./f]
    type = PointValue
    point = '0 0 0'
    variable = yield_fcn
  [../]
[]

[UserObjects]
  [./ts]
    type = SolidMechanicsHardeningConstant
    value = 1
  [../]
  [./cs]
    type = SolidMechanicsHardeningConstant
    value = 1E6
  [../]
  [./coh]
    type = SolidMechanicsHardeningConstant
    value = 1E6
  [../]
  [./ang]
    type = SolidMechanicsHardeningConstant
    value = 0.5
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    fill_method = symmetric_isotropic
    C_ijkl = '0 2.0'
  [../]
  [./tensile]
    type = CappedMohrCoulombStressUpdate
    tensile_strength = ts
    compressive_strength = cs
    cohesion = coh
    friction_angle = ang
    dilation_angle = ang
    smoothing_tol = 0.5
    yield_function_tol = 1.0E-12
  [../]
  [./stress]
    type = ComputeMultipleInelasticStress
    inelastic_models = tensile
    perform_finite_strain_rotations = false
  [../]
[]


[Executioner]
  end_time = 1
  dt = 0.1
  type = Transient
[]


[Outputs]
  file_base = small_deform6
  csv = true
[]

(modules/combined/test/tests/elastic_thermal_patch/elastic_thermal_patch_rz.i)

#
# This problem is modified from the Abaqus verification manual:
#   "1.5.4 Patch test for axisymmetric elements"
# The original stress solution is given as:
#   xx = yy = zz = 2000
#   xy = 400
#
# Here, E=1e6 and nu=0.25.
# However, with a +100 degree change in temperature and a coefficient
#   of thermal expansion of 1e-6, the solution becomes:
#   xx = yy = zz = 1800
#   xy = 400
#   since
#   E*(1-nu)/(1+nu)/(1-2*nu)*(1+2*nu/(1-nu))*(1e-3-1e-4) = 1800
#
# Also,
#
#   dSrr   dSrz   Srr-Stt
#   ---- + ---- + ------- + br = 0
#    dr     dz       r
#
# and
#
#   dSrz   Srz   dSzz
#   ---- + --- + ---- + bz = 0
#    dr     r     dz
#
# where
#   Srr = stress in rr
#   Szz = stress in zz
#   Stt = stress in theta-theta
#   Srz = stress in rz
#   br  = body force in r direction
#   bz  = body force in z direction
#
[GlobalParams]
  displacements = 'disp_x disp_y'
  temperature = temp
  volumetric_locking_correction = true
[]

[Problem]
  coord_type = RZ
[]

[Mesh]
  file = elastic_thermal_patch_rz_test.e
[]

[Functions]
  [./ur]
    type = ParsedFunction
    expression = '1e-3*x'
  [../]
  [./uz]
    type = ParsedFunction
    expression = '1e-3*(x+y)'
  [../]
  [./body]
    type = ParsedFunction
    expression = '-400/x'
  [../]
  [./temp]
    type = ParsedFunction
    expression = '117.56+100*t'
  [../]
[]

[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]

  [./temp]
    initial_condition = 117.56
  [../]
[]

[Physics/SolidMechanics/QuasiStatic/All]
  add_variables = true
  strain = SMALL
  incremental = true
  eigenstrain_names = eigenstrain
  generate_output = 'stress_xx stress_yy stress_zz stress_xy stress_yz stress_zx'
[]

[Kernels]
  [./body]
    type = BodyForce
    variable = disp_y
    value = 1
    function = body
  [../]

  [./heat]
    type = HeatConduction
    variable = temp
  [../]
[]

[BCs]
  [./ur]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 10
    function = ur
  [../]
  [./uz]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 10
    function = uz
  [../]

  [./temp]
    type = FunctionDirichletBC
    variable = temp
    boundary = 10
    function = temp
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeIsotropicElasticityTensor
    lambda = 400000.0
    poissons_ratio = 0.25
  [../]
  [./thermal_strain]
    type = ComputeThermalExpansionEigenstrain
    thermal_expansion_coeff = 1e-6
    stress_free_temperature = 117.56
    eigenstrain_name = eigenstrain
  [../]
  [./stress]
    type = ComputeStrainIncrementBasedStress
  [../]

  [./heat]
    type = HeatConductionMaterial
    specific_heat = 0.116
    thermal_conductivity = 4.85e-4
  [../]

  [./density]
    type = Density
    density = 0.283
  [../]
[]

[Executioner]
  type = Transient
  solve_type = 'PJFNK'

  nl_abs_tol = 1e-11
  nl_rel_tol = 1e-12

  l_max_its = 20

  start_time = 0.0
  dt = 1.0
  num_steps = 1
  end_time = 1.0
[]

[Outputs]
  exodus = true
[]

(modules/contact/test/tests/3d-mortar-contact/frictional-mortar-3d.i)

starting_point = 0.25
offset = 0.00

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
  volumetric_locking_correction = true
[]

[AuxVariables]
  [mortar_tangent_x]
    family = LAGRANGE
    order = FIRST
  []
  [mortar_tangent_y]
    family = LAGRANGE
    order = FIRST
  []
  [mortar_tangent_z]
    family = LAGRANGE
    order = FIRST
  []
[]

[AuxKernels]
  [friction_x_component]
   type = MortarFrictionalPressureVectorAux
   primary_boundary = 'bottom_top'
   secondary_boundary = 'top_bottom'
   tangent_one = mortar_tangential_lm
   tangent_two = mortar_tangential_3d_lm
   variable = mortar_tangent_x
   component = 0
   boundary = 'top_bottom'
  []
  [friction_y_component]
   type = MortarFrictionalPressureVectorAux
   primary_boundary = 'bottom_top'
   secondary_boundary = 'top_bottom'
   tangent_one = mortar_tangential_lm
   tangent_two = mortar_tangential_3d_lm
   variable = mortar_tangent_y
   component = 1
   boundary = 'top_bottom'
  []
  [friction_z_component]
   type = MortarFrictionalPressureVectorAux
   primary_boundary = 'bottom_top'
   secondary_boundary = 'top_bottom'
   tangent_one = mortar_tangential_lm
   tangent_two = mortar_tangential_3d_lm
   variable = mortar_tangent_z
   component = 2
   boundary = 'top_bottom'
  []
[]

[Mesh]
  [top_block]
    type = GeneratedMeshGenerator
    dim = 3
    nx = 3
    ny = 3
    nz = 3
    xmin = -0.25
    xmax = 0.25
    ymin = -0.25
    ymax = 0.25
    zmin = -0.25
    zmax = 0.25
    elem_type = HEX8
  []
  [rotate_top_block]
    type = TransformGenerator
    input = top_block
    transform = ROTATE
    vector_value = '0 0 0'
  []
  [top_block_sidesets]
    type = RenameBoundaryGenerator
    input = rotate_top_block
    old_boundary = '0 1 2 3 4 5'
    new_boundary = 'top_bottom top_back top_right top_front top_left top_top'
  []
  [top_block_id]
    type = SubdomainIDGenerator
    input = top_block_sidesets
    subdomain_id = 1
  []
  [bottom_block]
    type = GeneratedMeshGenerator
    dim = 3
    nx = 10
    ny = 10
    nz = 2
    xmin = -.5
    xmax = .5
    ymin = -.5
    ymax = .5
    zmin = -.3
    zmax = -.25
    elem_type = HEX8
  []
  [bottom_block_id]
    type = SubdomainIDGenerator
    input = bottom_block
    subdomain_id = 2
  []
  [bottom_block_change_boundary_id]
    type = RenameBoundaryGenerator
    input = bottom_block_id
    old_boundary = '0 1 2 3 4 5'
    new_boundary = '100 101 102 103 104 105'
  []
  [combined]
    type = MeshCollectionGenerator
    inputs = 'top_block_id bottom_block_change_boundary_id'
  []
  [block_rename]
    type = RenameBlockGenerator
    input = combined
    old_block = '1 2'
    new_block = 'top_block bottom_block'
  []
  [bottom_right_sideset]
    type = SideSetsAroundSubdomainGenerator
    input = block_rename
    new_boundary = bottom_right
    block = bottom_block
    normal = '1 0 0'
  []
  [bottom_left_sideset]
    type = SideSetsAroundSubdomainGenerator
    input = bottom_right_sideset
    new_boundary = bottom_left
    block = bottom_block
    normal = '-1 0 0'
  []
  [bottom_top_sideset]
    type = SideSetsAroundSubdomainGenerator
    input = bottom_left_sideset
    new_boundary = bottom_top
    block = bottom_block
    normal = '0 0 1'
  []
  [bottom_bottom_sideset]
    type = SideSetsAroundSubdomainGenerator
    input = bottom_top_sideset
    new_boundary = bottom_bottom
    block = bottom_block
    normal = '0  0 -1'
  []
  [bottom_front_sideset]
    type = SideSetsAroundSubdomainGenerator
    input = bottom_bottom_sideset
    new_boundary = bottom_front
    block = bottom_block
    normal = '0 1 0'
  []
  [bottom_back_sideset]
    type = SideSetsAroundSubdomainGenerator
    input = bottom_front_sideset
    new_boundary = bottom_back
    block = bottom_block
    normal = '0 -1 0'
  []
  [secondary]
    input = bottom_back_sideset
    type = LowerDBlockFromSidesetGenerator
    sidesets = 'top_bottom' # top_back top_left'
    new_block_id = '10001'
    new_block_name = 'secondary_lower'
  []
  [primary]
    input = secondary
    type = LowerDBlockFromSidesetGenerator
    sidesets = 'bottom_top'
    new_block_id = '10000'
    new_block_name = 'primary_lower'
  []
  uniform_refine = 0
  allow_renumbering = false
[]

[Variables]
  [mortar_normal_lm]
    block = 'secondary_lower'
    use_dual = true
  []
  [mortar_tangential_lm]
    block = 'secondary_lower'
    use_dual = true
  []
  [mortar_tangential_3d_lm]
    block = 'secondary_lower'
    use_dual = true
  []
[]

[Physics/SolidMechanics/QuasiStatic]
  [all]
    add_variables = true
    strain = FINITE
    block = '1 2'
    use_automatic_differentiation = false
    generate_output = 'stress_xx stress_xy stress_xz stress_yy stress_zz'
  []
[]

[Materials]
  [tensor]
    type = ComputeIsotropicElasticityTensor
    block = '1'
    youngs_modulus = 1.0e4
    poissons_ratio = 0.0
  []
  [stress]
    type = ComputeFiniteStrainElasticStress
    block = '1'
  []

  [tensor_1000]
    type = ComputeIsotropicElasticityTensor
    block = '2'
    youngs_modulus = 1e5
    poissons_ratio = 0.0
  []
  [stress_1000]
    type = ComputeFiniteStrainElasticStress
    block = '2'
  []
[]

[UserObjects]
  [weighted_vel_uo]
    type = LMWeightedVelocitiesUserObject
    primary_boundary = 'bottom_top'
    secondary_boundary = 'top_bottom'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    lm_variable_normal = mortar_normal_lm
    lm_variable_tangential_one = mortar_tangential_lm
    lm_variable_tangential_two = mortar_tangential_3d_lm
    secondary_variable = disp_x
    disp_x = disp_x
    disp_y = disp_y
    disp_z = disp_z
  []
[]

[Constraints]
  [friction]
    type = ComputeFrictionalForceLMMechanicalContact
    primary_boundary = 'bottom_top'
    secondary_boundary = 'top_bottom'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    variable = mortar_normal_lm
    disp_x = disp_x
    disp_y = disp_y
    disp_z = disp_z
    use_displaced_mesh = true
    mu = 0.4
    c = 1e4
    c_t = 1.0e4
    friction_lm = mortar_tangential_lm
    friction_lm_dir = mortar_tangential_3d_lm
    weighted_gap_uo = weighted_vel_uo
    weighted_velocities_uo = weighted_vel_uo
  []
  [normal_x]
    type = NormalMortarMechanicalContact
    primary_boundary = 'bottom_top'
    secondary_boundary = 'top_bottom'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    variable = mortar_normal_lm
    secondary_variable = disp_x
    component = x
    use_displaced_mesh = true
    compute_lm_residuals = false
    weighted_gap_uo = weighted_vel_uo
  []
  [normal_y]
    type = NormalMortarMechanicalContact
    primary_boundary = 'bottom_top'
    secondary_boundary = 'top_bottom'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    variable = mortar_normal_lm
    secondary_variable = disp_y
    component = y
    use_displaced_mesh = true
    compute_lm_residuals = false
    weighted_gap_uo = weighted_vel_uo
  []
  [normal_z]
    type = NormalMortarMechanicalContact
    primary_boundary = 'bottom_top'
    secondary_boundary = 'top_bottom'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    variable = mortar_normal_lm
    secondary_variable = disp_z
    component = z
    use_displaced_mesh = true
    compute_lm_residuals = false
    weighted_gap_uo = weighted_vel_uo
  []
  [tangential_x]
    type = TangentialMortarMechanicalContact
    primary_boundary = 'bottom_top'
    secondary_boundary = 'top_bottom'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    variable = mortar_tangential_lm
    secondary_variable = disp_x
    component = x
    use_displaced_mesh = true
    compute_lm_residuals = false
    weighted_velocities_uo = weighted_vel_uo
  []
  [tangential_y]
    type = TangentialMortarMechanicalContact
    primary_boundary = 'bottom_top'
    secondary_boundary = 'top_bottom'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    variable = mortar_tangential_lm
    secondary_variable = disp_y
    component = y
    use_displaced_mesh = true
    compute_lm_residuals = false
    weighted_velocities_uo = weighted_vel_uo
  []
  [tangential_z]
    type = TangentialMortarMechanicalContact
    primary_boundary = 'bottom_top'
    secondary_boundary = 'top_bottom'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    variable = mortar_tangential_lm
    secondary_variable = disp_z
    component = z
    use_displaced_mesh = true
    compute_lm_residuals = false
    weighted_velocities_uo = weighted_vel_uo
  []
  [tangential_dir_x]
    type = TangentialMortarMechanicalContact
    primary_boundary = 'bottom_top'
    secondary_boundary = 'top_bottom'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    variable = mortar_tangential_3d_lm
    secondary_variable = disp_x
    component = x
    direction = direction_2
    use_displaced_mesh = true
    compute_lm_residuals = false
    weighted_velocities_uo = weighted_vel_uo
  []
  [tangential_dir_y]
    type = TangentialMortarMechanicalContact
    primary_boundary = 'bottom_top'
    secondary_boundary = 'top_bottom'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    variable = mortar_tangential_3d_lm
    secondary_variable = disp_y
    component = y
    direction = direction_2
    use_displaced_mesh = true
    compute_lm_residuals = false
    weighted_velocities_uo = weighted_vel_uo
  []
  [tangential_dir_z]
    type = TangentialMortarMechanicalContact
    primary_boundary = 'bottom_top'
    secondary_boundary = 'top_bottom'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    variable = mortar_tangential_3d_lm
    secondary_variable = disp_z
    component = z
    direction = direction_2
    use_displaced_mesh = true
    compute_lm_residuals = false
    weighted_velocities_uo = weighted_vel_uo
  []
[]

[BCs]
  [botx]
    type = DirichletBC
    variable = disp_x
    boundary = 'bottom_left bottom_right bottom_front bottom_back'
    value = 0.0
  []
  [boty]
    type = DirichletBC
    variable = disp_y
    boundary = 'bottom_left bottom_right bottom_front bottom_back'
    value = 0.0
  []
  [botz]
    type = DirichletBC
    variable = disp_z
    boundary = 'bottom_left bottom_right bottom_front bottom_back'
    value = 0.0
  []
  [topx]
    type = DirichletBC
    variable = disp_x
    boundary = 'top_top'
    value = 0.0
  []
  [topy]
    type = DirichletBC
    variable = disp_y
    boundary = 'top_top'
    value = 0.0
  []
  [topz]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'top_top'
    function = '-${starting_point} * sin(2 * pi / 40 * t) + ${offset}'
  []
[]

[Executioner]
  type = Transient
  end_time = .025
  dt = .025
  dtmin = .001
  solve_type = 'PJFNK'
  petsc_options = '-snes_converged_reason -ksp_converged_reason -snes_ksp_ew'
  petsc_options_iname = '-pc_type -pc_factor_mat_solver_type -pc_factor_shift_type -pc_factor_shift_amount -mat_mffd_err'
  petsc_options_value = 'lu       superlu_dist                  NONZERO               1e-14                  1e-5'
  l_max_its = 15
  nl_max_its = 30
  nl_rel_tol = 1e-11
  nl_abs_tol = 1e-12
  line_search = 'basic'
[]

[Debug]
  show_var_residual_norms = true
[]

[Outputs]
  exodus = true
  csv = true
[]

[Preconditioning]
  [smp]
    type = SMP
    full = true
  []
[]

[Postprocessors]
  active = 'contact'
  [contact]
    type = ContactDOFSetSize
    variable = mortar_normal_lm
    subdomain = 'secondary_lower'
    execute_on = 'nonlinear timestep_end'
  []
[]

[VectorPostprocessors]
  [contact-pressure]
    type = NodalValueSampler
    block = secondary_lower
    variable = mortar_normal_lm
    sort_by = 'id'
    execute_on = NONLINEAR
  []
  [frictional-pressure]
    type = NodalValueSampler
    block = secondary_lower
    variable = mortar_tangential_lm
    sort_by = 'id'
    execute_on = NONLINEAR
  []
  [frictional-pressure-3d]
    type = NodalValueSampler
    block = secondary_lower
    variable = mortar_tangential_3d_lm
    sort_by = 'id'
    execute_on = NONLINEAR
  []
  [tangent_x]
    type = NodalValueSampler
    block = secondary_lower
    variable = mortar_tangent_x
    sort_by = 'id'
    execute_on = NONLINEAR
  []
  [tangent_y]
    type = NodalValueSampler
    block = secondary_lower
    variable = mortar_tangent_y
    sort_by = 'id'
    execute_on = NONLINEAR
  []
[]

(modules/contact/test/tests/pdass_problems/cylinder_friction_penalty_frictional_al_action_amg.i)

[GlobalParams]
  volumetric_locking_correction = true
  displacements = 'disp_x disp_y'
[]

[Mesh]
  [input_file]
    type = FileMeshGenerator
    file = cond_number.e
  []
  allow_renumbering = false
[]

[Problem]
  type = AugmentedLagrangianContactFEProblem
  extra_tag_vectors = 'ref'
  maximum_lagrangian_update_iterations = 1000
[]

[AuxVariables]
  [penalty_normal_pressure]
  []
  [penalty_frictional_pressure]
  []
  [accumulated_slip_one]
  []
  [tangential_vel_one]
  []
  [normal_gap]
  []
  [normal_lm]
  []
  [saved_x]
  []
  [saved_y]
  []
  [active]
  []
[]

[Functions]
  [disp_ramp_vert]
    type = PiecewiseLinear
    x = '0. 1. 3.5'
    y = '0. -0.020 -0.020'
  []
  [disp_ramp_horz]
    type = PiecewiseLinear
    x = '0. 1. 3.5'
    y = '0. 0.0 0.015'
  []
[]

[Physics/SolidMechanics/QuasiStatic/all]
  strain = FINITE
  add_variables = true
  save_in = 'saved_x saved_y'
  extra_vector_tags = 'ref'
  block = '1 2 3 4 5 6 7'
  generate_output = 'stress_xx stress_yy stress_xy'
[]

[AuxKernels]
  [penalty_normal_pressure]
    type = PenaltyMortarUserObjectAux
    variable = penalty_normal_pressure
    user_object = penalty_friction_object_al_friction
    contact_quantity = normal_pressure
    boundary = 3
  []
  [penalty_frictional_pressure]
    type = PenaltyMortarUserObjectAux
    variable = penalty_frictional_pressure
    user_object = penalty_friction_object_al_friction
    contact_quantity = tangential_pressure_one
    boundary = 3
  []
  [penalty_tangential_vel_one]
    type = PenaltyMortarUserObjectAux
    variable = tangential_vel_one
    user_object = penalty_friction_object_al_friction
    contact_quantity = tangential_velocity_one
    boundary = 3
  []
  [penalty_accumulated_slip_one]
    type = PenaltyMortarUserObjectAux
    variable = accumulated_slip_one
    user_object = penalty_friction_object_al_friction
    contact_quantity = accumulated_slip_one
    boundary = 3
  []
  [normal_lm]
    type = PenaltyMortarUserObjectAux
    variable = normal_lm
    user_object = penalty_friction_object_al_friction
    contact_quantity = normal_lm
    boundary = 3
  []
  [normal_gap]
    type = PenaltyMortarUserObjectAux
    variable = normal_gap
    user_object = penalty_friction_object_al_friction
    contact_quantity = normal_gap
    boundary = 3
  []
[]

[Postprocessors]
  [bot_react_x]
    type = NodalSum
    variable = saved_x
    boundary = 1
  []
  [bot_react_y]
    type = NodalSum
    variable = saved_y
    boundary = 1
  []
  [top_react_x]
    type = NodalSum
    variable = saved_x
    boundary = 4
  []
  [top_react_y]
    type = NodalSum
    variable = saved_y
    boundary = 4
  []
  [_dt]
    type = TimestepSize
  []
  [num_lin_it]
    type = NumLinearIterations
  []
  [num_nonlin_it]
    type = NumNonlinearIterations
  []
  [cumulative]
    type = CumulativeValuePostprocessor
    postprocessor = num_nonlin_it
  []
  [gap]
    type = SideExtremeValue
    value_type = min
    variable = normal_gap
    boundary = 3
  []
  [num_al]
    type = NumAugmentedLagrangeIterations
  []
  [active_set_size]
    type = NodalSum
    variable = active
  []
[]

[BCs]
  [side_x]
    type = DirichletBC
    variable = disp_y
    boundary = '1 2'
    value = 0.0
  []
  [bot_y]
    type = DirichletBC
    variable = disp_x
    boundary = '1 2'
    value = 0.0
  []
  [top_y_disp]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 4
    function = disp_ramp_vert
  []
  [top_x_disp]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 4
    function = disp_ramp_horz
  []
[]

[Materials]
  [stuff1_elas_tens]
    type = ComputeIsotropicElasticityTensor
    block = '1'
    youngs_modulus = 1e8
    poissons_ratio = 0.0
  []
  [stuff1_stress]
    type = ComputeFiniteStrainElasticStress
    block = '1'
  []
  [stuff2_elas_tens]
    type = ComputeIsotropicElasticityTensor
    block = '2 3 4 5 6 7'
    youngs_modulus = 1e6
    poissons_ratio = 0.3
  []
  [stuff2_stress]
    type = ComputeFiniteStrainElasticStress
    block = '2 3 4 5 6 7'
  []
[]

[Executioner]
  type = Transient
  solve_type = 'NEWTON'

  petsc_options = '-ksp_snes_ew'
  petsc_options_iname = '-ksp_gmres_restart -pc_type -pc_hypre_type -pc_hypre_boomeramg_max_iter'
  petsc_options_value = ' 201                hypre    boomeramg      8'

  line_search = 'none'

  nl_abs_tol = 1e-10
  nl_rel_tol = 1e-8
  nl_max_its = 50
  l_tol = 1e-05
  l_abs_tol = 1e-13

  start_time = 0.0
  end_time = 0.2 # 1.0
  dt = 0.1
  dtmin = 0.1

  [Predictor]
    type = SimplePredictor
    scale = 1.0
  []

  automatic_scaling = true
  compute_scaling_once = false
  off_diagonals_in_auto_scaling = true
[]

[Preconditioning]
  [SMP]
    type = SMP
    full = true
  []
[]

[VectorPostprocessors]
  [surface]
    type = NodalValueSampler
    use_displaced_mesh = false
    variable = 'disp_x disp_y penalty_normal_pressure penalty_frictional_pressure normal_gap'
    boundary = '3'
    sort_by = id
  []
[]

[Outputs]
  print_linear_residuals = true
  perf_graph = true
  exodus = true
  csv = false
  [vectorpp_output]
    type = CSV
    create_final_symlink = true
    execute_on = 'INITIAL TIMESTEP_END FINAL'
  []
[]

[Contact]
  [al_friction]
    formulation = mortar_penalty
    model = coulomb
    primary = '2'
    secondary = '3'
    penalty = 1e7
    penalty_friction = 1e+7
    friction_coefficient = 0.4
    al_penetration_tolerance = 1e-7
    al_incremental_slip_tolerance = 1.0 # Not active
    penalty_multiplier = 100
  []
[]

(modules/contact/test/tests/bouncing-block-contact/frictionless-nodal-reduced-active-set.i)

starting_point = .5

[GlobalParams]
  displacements = 'disp_x disp_y'
  diffusivity = 1
[]

[Mesh]
  file = square-blocks-no-offset.e
[]

[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
[]

[ICs]
  [./disp_y]
    block = 2
    variable = disp_y
    value = ${starting_point}
    type = ConstantIC
  [../]
[]

[Kernels]
  [./disp_x]
    type = MatDiffusion
    variable = disp_x
  [../]
  [./disp_y]
    type = MatDiffusion
    variable = disp_y
  [../]
[]


[Constraints]
  [./disp_x]
    type = RANFSNormalMechanicalContact
    secondary = 10
    primary = 20
    variable = disp_x
    primary_variable = disp_x
    component = x
  [../]
  [./disp_y]
    type = RANFSNormalMechanicalContact
    secondary = 10
    primary = 20
    variable = disp_y
    primary_variable = disp_y
    component = y
  [../]
[]

[BCs]
  [./botx]
    type = DirichletBC
    variable = disp_x
    preset = false
    boundary = 40
    value = 0.0
  [../]
  [./topx]
    type = DirichletBC
    variable = disp_x
    preset = false
    boundary = 30
    value = 0.0
  [../]
  [./boty]
    type = DirichletBC
    variable = disp_y
    preset = false
    boundary = 40
    value = 0.0
  [../]
  [./topy]
    type = FunctionDirichletBC
    variable = disp_y
    preset = false
    boundary = 30
    function = '${starting_point} - t'
  [../]
[]

[Executioner]
  type = Transient
  num_steps = 1
  dt = 1
  dtmin = 1
  solve_type = 'PJFNK'
  petsc_options = '-snes_converged_reason -ksp_converged_reason -ksp_monitor_true_residual -snes_view'
  petsc_options_iname = '-mat_mffd_err -pc_type -pc_hypre_type'
  petsc_options_value = '1e-5          hypre    boomeramg'
  l_max_its = 30
  nl_max_its = 20
  line_search = 'project'
  snesmf_reuse_base = false
[]

[Debug]
  show_var_residual_norms = true
[]

[Outputs]
  [exo]
    type = Exodus
    execute_on = 'nonlinear'
  []
  print_linear_residuals = false
  [dof]
    type = DOFMap
    execute_on = 'initial'
  []
[]

[Postprocessors]
  [./num_nl]
    type = NumNonlinearIterations
  [../]
  [./cumulative]
    type = CumulativeValuePostprocessor
    postprocessor = num_nl
  [../]
[]

(modules/contact/test/tests/mortar_dynamics/frictional-mortar-3d-dynamics-light.i)

starting_point = 0.25
offset = 0.00

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
  volumetric_locking_correction = true
[]

[AuxVariables]
  [mortar_tangent_x]
    family = LAGRANGE
    order = FIRST
  []
  [mortar_tangent_y]
    family = LAGRANGE
    order = FIRST
  []
  [mortar_tangent_z]
    family = LAGRANGE
    order = FIRST
  []
[]

[AuxKernels]
  [friction_x_component]
   type = MortarFrictionalPressureVectorAux
   primary_boundary = 'bottom_top'
   secondary_boundary = 'top_bottom'
   tangent_one = mortar_tangential_lm
   tangent_two = mortar_tangential_3d_lm
   variable = mortar_tangent_x
   component = 0
   boundary = 'top_bottom'
  []
  [friction_y_component]
   type = MortarFrictionalPressureVectorAux
   primary_boundary = 'bottom_top'
   secondary_boundary = 'top_bottom'
   tangent_one = mortar_tangential_lm
   tangent_two = mortar_tangential_3d_lm
   variable = mortar_tangent_y
   component = 1
   boundary = 'top_bottom'
  []
  [friction_z_component]
   type = MortarFrictionalPressureVectorAux
   primary_boundary = 'bottom_top'
   secondary_boundary = 'top_bottom'
   tangent_one = mortar_tangential_lm
   tangent_two = mortar_tangential_3d_lm
   variable = mortar_tangent_z
   component = 2
   boundary = 'top_bottom'
  []
[]

[Mesh]
  [top_block]
    type = GeneratedMeshGenerator
    dim = 3
    nx = 2
    ny = 2
    nz = 1
    xmin = -0.25
    xmax = 0.25
    ymin = -0.25
    ymax = 0.25
    zmin = -0.25
    zmax = 0.25
    elem_type = HEX8
  []
  [rotate_top_block]
    type = TransformGenerator
    input = top_block
    transform = ROTATE
    vector_value = '0 0 0'
  []
  [top_block_sidesets]
    type = RenameBoundaryGenerator
    input = rotate_top_block
    old_boundary = '0 1 2 3 4 5'
    new_boundary = 'top_bottom top_back top_right top_front top_left top_top'
  []
  [top_block_id]
    type = SubdomainIDGenerator
    input = top_block_sidesets
    subdomain_id = 1
  []
  [bottom_block]
    type = GeneratedMeshGenerator
    dim = 3
    nx = 2
    ny = 2
    nz = 1
    xmin = -.5
    xmax = .5
    ymin = -.5
    ymax = .5
    zmin = -.3
    zmax = -.25
    elem_type = HEX8
  []
  [bottom_block_id]
    type = SubdomainIDGenerator
    input = bottom_block
    subdomain_id = 2
  []
  [bottom_block_change_boundary_id]
    type = RenameBoundaryGenerator
    input = bottom_block_id
    old_boundary = '0 1 2 3 4 5'
    new_boundary = '100 101 102 103 104 105'
  []
  [combined]
    type = MeshCollectionGenerator
    inputs = 'top_block_id bottom_block_change_boundary_id'
  []
  [block_rename]
    type = RenameBlockGenerator
    input = combined
    old_block = '1 2'
    new_block = 'top_block bottom_block'
  []
  [bottom_right_sideset]
    type = SideSetsAroundSubdomainGenerator
    input = block_rename
    new_boundary = bottom_right
    block = bottom_block
    normal = '1 0 0'
  []
  [bottom_left_sideset]
    type = SideSetsAroundSubdomainGenerator
    input = bottom_right_sideset
    new_boundary = bottom_left
    block = bottom_block
    normal = '-1 0 0'
  []
  [bottom_top_sideset]
    type = SideSetsAroundSubdomainGenerator
    input = bottom_left_sideset
    new_boundary = bottom_top
    block = bottom_block
    normal = '0 0 1'
  []
  [bottom_bottom_sideset]
    type = SideSetsAroundSubdomainGenerator
    input = bottom_top_sideset
    new_boundary = bottom_bottom
    block = bottom_block
    normal = '0  0 -1'
  []
  [bottom_front_sideset]
    type = SideSetsAroundSubdomainGenerator
    input = bottom_bottom_sideset
    new_boundary = bottom_front
    block = bottom_block
    normal = '0 1 0'
  []
  [bottom_back_sideset]
    type = SideSetsAroundSubdomainGenerator
    input = bottom_front_sideset
    new_boundary = bottom_back
    block = bottom_block
    normal = '0 -1 0'
  []
  [secondary]
    input = bottom_back_sideset
    type = LowerDBlockFromSidesetGenerator
    sidesets = 'top_bottom' # top_back top_left'
    new_block_id = '10001'
    new_block_name = 'secondary_lower'
  []
  [primary]
    input = secondary
    type = LowerDBlockFromSidesetGenerator
    sidesets = 'bottom_top'
    new_block_id = '10000'
    new_block_name = 'primary_lower'
  []
  uniform_refine = 0
  allow_renumbering = false
[]

[Variables]
  [mortar_normal_lm]
    block = 'secondary_lower'
    use_dual = true
  []
  [mortar_tangential_lm]
    block = 'secondary_lower'
    use_dual = true
  []
  [mortar_tangential_3d_lm]
    block = 'secondary_lower'
    use_dual = true
  []
[]

[Physics/SolidMechanics/Dynamic]
  [all]
    add_variables = true
    hht_alpha = 0.0
    newmark_beta = 0.25
    newmark_gamma = 0.5
    mass_damping_coefficient = 0.0
    stiffness_damping_coefficient = 0.1
    displacements = 'disp_x disp_y disp_z'
    generate_output = 'stress_xx stress_xy stress_xz stress_yy stress_zz'
    block = '1 2'
    strain = FINITE
    density = density
  []
[]

[Materials]
  [density]
    type = GenericConstantMaterial
    block = '1 2'
    prop_names = 'density'
    prop_values = '1.0'
  []
  [tensor]
    type = ComputeIsotropicElasticityTensor
    block = '1'
    youngs_modulus = 1.0e4
    poissons_ratio = 0.0
  []
  [stress]
    type = ComputeFiniteStrainElasticStress
    block = '1'
  []

  [tensor_1000]
    type = ComputeIsotropicElasticityTensor
    block = '2'
    youngs_modulus = 1e5
    poissons_ratio = 0.0
  []
  [stress_1000]
    type = ComputeFiniteStrainElasticStress
    block = '2'
  []
[]

[UserObjects]
  [weighted_vel_uo]
    type = LMWeightedVelocitiesUserObject
    primary_boundary = 20
    secondary_boundary = 10
    primary_subdomain = 4
    secondary_subdomain = 3
    lm_variable_normal = mortar_normal_lm
    lm_variable_tangential_one = mortar_tangential_lm
    lm_variable_tangential_two = mortar_tangential_3d_lm
    secondary_variable = disp_x
    disp_x = disp_x
    disp_y = disp_y
  []
[]

[Constraints]
  [friction]
    type = ComputeDynamicFrictionalForceLMMechanicalContact
    primary_boundary = 'bottom_top'
    secondary_boundary = 'top_bottom'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    variable = mortar_normal_lm
    disp_x = disp_x
    disp_y = disp_y
    disp_z = disp_z
    use_displaced_mesh = true
    friction_lm = mortar_tangential_lm
    friction_lm_dir = mortar_tangential_3d_lm
    mu = 0.4
    c = 1e4
    c_t = 1.0e4
    newmark_beta = 0.25
    newmark_gamma = 0.5
    correct_edge_dropping = true
  []
  [normal_x]
    type = NormalMortarMechanicalContact
    primary_boundary = 'bottom_top'
    secondary_boundary = 'top_bottom'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    variable = mortar_normal_lm
    secondary_variable = disp_x
    component = x
    use_displaced_mesh = true
    compute_lm_residuals = false
    correct_edge_dropping = true
    weighted_gap_uo = weighted_vel_uo
  []
  [normal_y]
    type = NormalMortarMechanicalContact
    primary_boundary = 'bottom_top'
    secondary_boundary = 'top_bottom'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    variable = mortar_normal_lm
    secondary_variable = disp_y
    component = y
    use_displaced_mesh = true
    compute_lm_residuals = false
    correct_edge_dropping = true
    weighted_gap_uo = weighted_vel_uo
  []
  [normal_z]
    type = NormalMortarMechanicalContact
    primary_boundary = 'bottom_top'
    secondary_boundary = 'top_bottom'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    variable = mortar_normal_lm
    secondary_variable = disp_z
    component = z
    use_displaced_mesh = true
    compute_lm_residuals = false
    correct_edge_dropping = true
    weighted_gap_uo = weighted_vel_uo
  []
  [tangential_x]
    type = TangentialMortarMechanicalContact
    primary_boundary = 'bottom_top'
    secondary_boundary = 'top_bottom'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    variable = mortar_tangential_lm
    secondary_variable = disp_x
    component = x
    use_displaced_mesh = true
    compute_lm_residuals = false
    correct_edge_dropping = true
    weighted_velocities_uo = weighted_vel_uo
  []
  [tangential_y]
    type = TangentialMortarMechanicalContact
    primary_boundary = 'bottom_top'
    secondary_boundary = 'top_bottom'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    variable = mortar_tangential_lm
    secondary_variable = disp_y
    component = y
    use_displaced_mesh = true
    compute_lm_residuals = false
    correct_edge_dropping = true
    weighted_velocities_uo = weighted_vel_uo
  []
  [tangential_z]
    type = TangentialMortarMechanicalContact
    primary_boundary = 'bottom_top'
    secondary_boundary = 'top_bottom'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    variable = mortar_tangential_lm
    secondary_variable = disp_z
    component = z
    use_displaced_mesh = true
    compute_lm_residuals = false
    correct_edge_dropping = true
    weighted_velocities_uo = weighted_vel_uo
  []
  [tangential_dir_x]
    type = TangentialMortarMechanicalContact
    primary_boundary = 'bottom_top'
    secondary_boundary = 'top_bottom'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    variable = mortar_tangential_3d_lm
    secondary_variable = disp_x
    component = x
    direction = direction_2
    use_displaced_mesh = true
    compute_lm_residuals = false
    correct_edge_dropping = true
    weighted_velocities_uo = weighted_vel_uo
  []
  [tangential_dir_y]
    type = TangentialMortarMechanicalContact
    primary_boundary = 'bottom_top'
    secondary_boundary = 'top_bottom'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    variable = mortar_tangential_3d_lm
    secondary_variable = disp_y
    component = y
    direction = direction_2
    use_displaced_mesh = true
    compute_lm_residuals = false
    correct_edge_dropping = true
    weighted_velocities_uo = weighted_vel_uo
  []
  [tangential_dir_z]
    type = TangentialMortarMechanicalContact
    primary_boundary = 'bottom_top'
    secondary_boundary = 'top_bottom'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    variable = mortar_tangential_3d_lm
    secondary_variable = disp_z
    component = z
    direction = direction_2
    use_displaced_mesh = true
    compute_lm_residuals = false
    correct_edge_dropping = true
    weighted_velocities_uo = weighted_vel_uo
  []
[]

[BCs]
  [botx]
    type = DirichletBC
    variable = disp_x
    boundary = 'bottom_left bottom_right bottom_front bottom_back'
    value = 0.0
  []
  [boty]
    type = DirichletBC
    variable = disp_y
    boundary = 'bottom_left bottom_right bottom_front bottom_back'
    value = 0.0
  []
  [botz]
    type = DirichletBC
    variable = disp_z
    boundary = 'bottom_left bottom_right bottom_front bottom_back'
    value = 0.0
  []
  [topx]
    type = DirichletBC
    variable = disp_x
    boundary = 'top_top'
    value = 0.0
  []
  [topy]
    type = DirichletBC
    variable = disp_y
    boundary = 'top_top'
    value = 0.0
  []
  [topz]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'top_top'
    function = '-${starting_point} * sin(2 * pi / 40 * t) + ${offset}'
  []
[]

[Executioner]
  type = Transient
  end_time = .025
  dt = .025
  dtmin = .001
  solve_type = 'PJFNK'
  petsc_options = '-snes_converged_reason -ksp_converged_reason -snes_ksp_ew'
  petsc_options_iname = '-pc_type -pc_factor_shift_type -pc_factor_shift_amount'
  petsc_options_value = 'lu       NONZERO               1e-14'
  nl_rel_tol = 1e-11
  nl_abs_tol = 1e-11
  line_search = 'basic'
  [TimeIntegrator]
    type = NewmarkBeta
    gamma = 0.5
    beta = 0.25
  []
[]

[Debug]
  show_var_residual_norms = true
[]

[Outputs]
  exodus = true
  csv = true
[]

[Preconditioning]
  [smp]
    type = SMP
    full = true
  []
[]

[Postprocessors]
  active = 'contact'
  [contact]
    type = ContactDOFSetSize
    variable = mortar_normal_lm
    subdomain = 'secondary_lower'
    execute_on = 'nonlinear timestep_end'
  []
[]

[VectorPostprocessors]
  [contact-pressure]
    type = NodalValueSampler
    block = secondary_lower
    variable = mortar_normal_lm
    sort_by = 'id'
    execute_on = TIMESTEP_END
  []
  [frictional-pressure]
    type = NodalValueSampler
    block = secondary_lower
    variable = mortar_tangential_lm
    sort_by = 'id'
    execute_on = TIMESTEP_END
  []
  [frictional-pressure-3d]
    type = NodalValueSampler
    block = secondary_lower
    variable = mortar_tangential_3d_lm
    sort_by = 'id'
    execute_on = TIMESTEP_END
  []
  [tangent_x]
    type = NodalValueSampler
    block = secondary_lower
    variable = mortar_tangent_x
    sort_by = 'id'
    execute_on = TIMESTEP_END
  []
  [tangent_y]
    type = NodalValueSampler
    block = secondary_lower
    variable = mortar_tangent_y
    sort_by = 'id'
    execute_on = TIMESTEP_END
  []
[]

(modules/solid_mechanics/test/tests/multi/special_rock1.i)

# Plasticity models:
# Mohr-Coulomb with cohesion = 40MPa, friction angle = 35deg, dilation angle = 5deg
# Tensile with strength = 1MPa
#
# Lame lambda = 1GPa.  Lame mu = 1.3GPa
#
# A line of elements is perturbed randomly, and return to the yield surface at each quadpoint is checked
#
# NOTE: The yield function tolerances here are set at 100-times what i would usually use
# This is because otherwise the test fails on the 'pearcey' architecture.
# This is because identical stress tensors yield slightly different eigenvalues
# (and hence return-map residuals) on 'pearcey' than elsewhere, which results in
# a different number of NR iterations are needed to return to the yield surface.
# This is presumably because of compiler internals, or the BLAS routines being
# optimised differently or something similar.

[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1000
  ny = 125
  nz = 1
  xmin = 0
  xmax = 1000
  ymin = 0
  ymax = 125
  zmin = 0
  zmax = 1
[]


[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
[]

[GlobalParams]
  volumetric_locking_correction=true
[]

[Kernels]
  [SolidMechanics]
    displacements = 'disp_x disp_y disp_z'
  [../]
[]


[ICs]
  [./x]
    type = RandomIC
    min = -0.1
    max = 0.1
    variable = disp_x
  [../]
  [./y]
    type = RandomIC
    min = -0.1
    max = 0.1
    variable = disp_y
  [../]
  [./z]
    type = RandomIC
    min = -0.1
    max = 0.1
    variable = disp_z
  [../]
[]

[BCs]
  [./x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'front back'
    function = '0'
  [../]
  [./y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'front back'
    function = '0'
  [../]
  [./z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'front back'
    function = '0'
  [../]
[]

[AuxVariables]
  [./stress_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./linesearch]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./ld]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./constr_added]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./iter]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]

[AuxKernels]
  [./stress_xx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xx
    index_i = 0
    index_j = 0
  [../]
  [./stress_xy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xy
    index_i = 0
    index_j = 1
  [../]
  [./stress_xz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xz
    index_i = 0
    index_j = 2
  [../]
  [./stress_yy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yy
    index_i = 1
    index_j = 1
  [../]
  [./stress_yz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yz
    index_i = 1
    index_j = 2
  [../]
  [./stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zz
    index_i = 2
    index_j = 2
  [../]
  [./linesearch]
    type = MaterialRealAux
    property = plastic_linesearch_needed
    variable = linesearch
  [../]
  [./ld]
    type = MaterialRealAux
    property = plastic_linear_dependence_encountered
    variable = ld
  [../]
  [./constr_added]
    type = MaterialRealAux
    property = plastic_constraints_added
    variable = constr_added
  [../]
  [./iter]
    type = MaterialRealAux
    property = plastic_NR_iterations
    variable = iter
  [../]
[]

[Postprocessors]
  [./max_iter]
    type = ElementExtremeValue
    variable = iter
    outputs = console
  [../]
  [./av_linesearch]
    type = ElementAverageValue
    variable = linesearch
    outputs = 'console csv'
  [../]
  [./av_ld]
    type = ElementAverageValue
    variable = ld
    outputs = 'console csv'
  [../]
  [./av_constr_added]
    type = ElementAverageValue
    variable = constr_added
    outputs = 'console csv'
  [../]
  [./av_iter]
    type = ElementAverageValue
    variable = iter
    outputs = 'console csv'
  [../]
[]


[UserObjects]
  [./mc_coh]
    type = SolidMechanicsHardeningConstant
    value = 4E7
  [../]
  [./mc_phi]
    type = SolidMechanicsHardeningConstant
    value = 35
    convert_to_radians = true
  [../]
  [./mc_psi]
    type = SolidMechanicsHardeningConstant
    value = 5
    convert_to_radians = true
  [../]
  [./mc]
    type = SolidMechanicsPlasticMohrCoulombMulti
    cohesion = mc_coh
    friction_angle = mc_phi
    dilation_angle = mc_psi
    use_custom_returnMap = false
    yield_function_tolerance = 1.0E+2  # Note larger value
    shift = 1.0E+2                     # Note larger value
    internal_constraint_tolerance = 1.0E-7
  [../]
  [./mc_smooth]
    type = SolidMechanicsPlasticMohrCoulomb
    cohesion = mc_coh
    friction_angle = mc_phi
    dilation_angle = mc_psi
    mc_tip_smoother = 4E6
    yield_function_tolerance = 1.0
    internal_constraint_tolerance = 1.0E-7
  [../]

  [./ts]
    type = SolidMechanicsHardeningConstant
    value = 1E6
  [../]
  [./tensile]
    type = SolidMechanicsPlasticTensileMulti
    tensile_strength = ts
    yield_function_tolerance = 1.0E+2  # Note larger value
    shift = 1.0E+2                     # Note larger value
    internal_constraint_tolerance = 1.0E-7
    use_custom_returnMap = false
    use_custom_cto = false
  [../]
  [./tensile_smooth]
    type = SolidMechanicsPlasticTensile
    tensile_strength = ts
    tensile_tip_smoother = 1E5
    yield_function_tolerance = 1.0
    internal_constraint_tolerance = 1.0E-7
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    block = 0
    fill_method = symmetric_isotropic
    C_ijkl = '1.0E9 1.3E9'
  [../]
  [./strain]
    type = ComputeFiniteStrain
    block = 0
    displacements = 'disp_x disp_y disp_z'
  [../]
  [./multi]
    type = ComputeMultiPlasticityStress
    block = 0
    ep_plastic_tolerance = 1E-5  # Note larger value, to match the larger yield_function_tolerances

    plastic_models = 'tensile mc'
    max_NR_iterations = 5
    specialIC = 'rock'
    deactivation_scheme = 'safe'
    min_stepsize = 1
    max_stepsize_for_dumb = 1

    debug_fspb = crash
    debug_jac_at_stress = '10 0 0 0 10 0 0 0 10'
    debug_jac_at_pm = '1 1 1 1'
    debug_jac_at_intnl = '1 1 1 1'
    debug_stress_change = 1E1
    debug_pm_change = '1E-6 1E-6 1E-6 1E-6'
    debug_intnl_change = '1E-6 1E-6 1E-6 1E-6'
  [../]
[]


[Executioner]
  end_time = 1
  dt = 1
  type = Transient
[]


[Outputs]
  file_base = special_rock1
  exodus = false
  csv = true
[]

(modules/contact/test/tests/3d-mortar-contact/frictional-mortar-3d-function.i)

starting_point = 0.25
offset = 0.00

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
  volumetric_locking_correction = true
[]

[AuxVariables]
  [mortar_tangent_x]
    family = LAGRANGE
    order = FIRST
  []
  [mortar_tangent_y]
    family = LAGRANGE
    order = FIRST
  []
  [mortar_tangent_z]
    family = LAGRANGE
    order = FIRST
  []
[]

[Functions]
  # x: Contact pressure
  # y: Magnitude of tangential relative velocity
  # z: Temperature (to be implemented)
  [mu_function]
    type = ParsedFunction
    expression = '0.3 + (0.7 - 0.3) * 2.17^(-0.5/y) - x/10000'
  []
[]

[AuxKernels]
  [friction_x_component]
   type = MortarFrictionalPressureVectorAux
   primary_boundary = 'bottom_top'
   secondary_boundary = 'top_bottom'
   tangent_one = mortar_tangential_lm
   tangent_two = mortar_tangential_3d_lm
   variable = mortar_tangent_x
   component = 0
   boundary = 'top_bottom'
  []
  [friction_y_component]
   type = MortarFrictionalPressureVectorAux
   primary_boundary = 'bottom_top'
   secondary_boundary = 'top_bottom'
   tangent_one = mortar_tangential_lm
   tangent_two = mortar_tangential_3d_lm
   variable = mortar_tangent_y
   component = 1
   boundary = 'top_bottom'
  []
  [friction_z_component]
   type = MortarFrictionalPressureVectorAux
   primary_boundary = 'bottom_top'
   secondary_boundary = 'top_bottom'
   tangent_one = mortar_tangential_lm
   tangent_two = mortar_tangential_3d_lm
   variable = mortar_tangent_z
   component = 2
   boundary = 'top_bottom'
  []
[]

[Mesh]
  [top_block]
    type = GeneratedMeshGenerator
    dim = 3
    nx = 3
    ny = 3
    nz = 3
    xmin = -0.25
    xmax = 0.25
    ymin = -0.25
    ymax = 0.25
    zmin = -0.25
    zmax = 0.25
    elem_type = HEX8
  []
  [rotate_top_block]
    type = TransformGenerator
    input = top_block
    transform = ROTATE
    vector_value = '0 0 0'
  []
  [top_block_sidesets]
    type = RenameBoundaryGenerator
    input = rotate_top_block
    old_boundary = '0 1 2 3 4 5'
    new_boundary = 'top_bottom top_back top_right top_front top_left top_top'
  []
  [top_block_id]
    type = SubdomainIDGenerator
    input = top_block_sidesets
    subdomain_id = 1
  []
  [bottom_block]
    type = GeneratedMeshGenerator
    dim = 3
    nx = 10
    ny = 10
    nz = 2
    xmin = -.5
    xmax = .5
    ymin = -.5
    ymax = .5
    zmin = -.3
    zmax = -.25
    elem_type = HEX8
  []
  [bottom_block_id]
    type = SubdomainIDGenerator
    input = bottom_block
    subdomain_id = 2
  []
  [bottom_block_change_boundary_id]
    type = RenameBoundaryGenerator
    input = bottom_block_id
    old_boundary = '0 1 2 3 4 5'
    new_boundary = '100 101 102 103 104 105'
  []
  [combined]
    type = MeshCollectionGenerator
    inputs = 'top_block_id bottom_block_change_boundary_id'
  []
  [block_rename]
    type = RenameBlockGenerator
    input = combined
    old_block = '1 2'
    new_block = 'top_block bottom_block'
  []
  [bottom_right_sideset]
    type = SideSetsAroundSubdomainGenerator
    input = block_rename
    new_boundary = bottom_right
    block = bottom_block
    normal = '1 0 0'
  []
  [bottom_left_sideset]
    type = SideSetsAroundSubdomainGenerator
    input = bottom_right_sideset
    new_boundary = bottom_left
    block = bottom_block
    normal = '-1 0 0'
  []
  [bottom_top_sideset]
    type = SideSetsAroundSubdomainGenerator
    input = bottom_left_sideset
    new_boundary = bottom_top
    block = bottom_block
    normal = '0 0 1'
  []
  [bottom_bottom_sideset]
    type = SideSetsAroundSubdomainGenerator
    input = bottom_top_sideset
    new_boundary = bottom_bottom
    block = bottom_block
    normal = '0  0 -1'
  []
  [bottom_front_sideset]
    type = SideSetsAroundSubdomainGenerator
    input = bottom_bottom_sideset
    new_boundary = bottom_front
    block = bottom_block
    normal = '0 1 0'
  []
  [bottom_back_sideset]
    type = SideSetsAroundSubdomainGenerator
    input = bottom_front_sideset
    new_boundary = bottom_back
    block = bottom_block
    normal = '0 -1 0'
  []
  [secondary]
    input = bottom_back_sideset
    type = LowerDBlockFromSidesetGenerator
    sidesets = 'top_bottom' # top_back top_left'
    new_block_id = '10001'
    new_block_name = 'secondary_lower'
  []
  [primary]
    input = secondary
    type = LowerDBlockFromSidesetGenerator
    sidesets = 'bottom_top'
    new_block_id = '10000'
    new_block_name = 'primary_lower'
  []
  uniform_refine = 0
  allow_renumbering = false
[]

[Variables]
  [mortar_normal_lm]
    block = 'secondary_lower'
    use_dual = true
  []
  [mortar_tangential_lm]
    block = 'secondary_lower'
    use_dual = true
  []
  [mortar_tangential_3d_lm]
    block = 'secondary_lower'
    use_dual = true
  []
[]

[Physics/SolidMechanics/QuasiStatic]
  [all]
    add_variables = true
    strain = FINITE
    block = '1 2'
    use_automatic_differentiation = false
    generate_output = 'stress_xx stress_xy stress_xz stress_yy stress_zz'
  []
[]

[Materials]
  [tensor]
    type = ComputeIsotropicElasticityTensor
    block = '1'
    youngs_modulus = 1.0e4
    poissons_ratio = 0.0
  []
  [stress]
    type = ComputeFiniteStrainElasticStress
    block = '1'
  []

  [tensor_1000]
    type = ComputeIsotropicElasticityTensor
    block = '2'
    youngs_modulus = 1e5
    poissons_ratio = 0.0
  []
  [stress_1000]
    type = ComputeFiniteStrainElasticStress
    block = '2'
  []
[]

[UserObjects]
  [weighted_vel_uo]
    type = LMWeightedVelocitiesUserObject
    primary_boundary = 'bottom_top'
    secondary_boundary = 'top_bottom'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    lm_variable_normal = mortar_normal_lm
    lm_variable_tangential_one = mortar_tangential_lm
    lm_variable_tangential_two = mortar_tangential_3d_lm
    secondary_variable = disp_x
    disp_x = disp_x
    disp_y = disp_y
    disp_z = disp_z
  []
[]

[Constraints]
  [friction]
    type = ComputeFrictionalForceLMMechanicalContact
    primary_boundary = 'bottom_top'
    secondary_boundary = 'top_bottom'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    variable = mortar_normal_lm
    disp_x = disp_x
    disp_y = disp_y
    disp_z = disp_z
    use_displaced_mesh = true
    # mu = 0.4
    function_friction = mu_function
    c = 1e4
    c_t = 1.0e6
    friction_lm = mortar_tangential_lm
    friction_lm_dir = mortar_tangential_3d_lm
    weighted_gap_uo = weighted_vel_uo
    weighted_velocities_uo = weighted_vel_uo
  []
  [normal_x]
    type = NormalMortarMechanicalContact
    primary_boundary = 'bottom_top'
    secondary_boundary = 'top_bottom'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    variable = mortar_normal_lm
    secondary_variable = disp_x
    component = x
    use_displaced_mesh = true
    compute_lm_residuals = false
    weighted_gap_uo = weighted_vel_uo
  []
  [normal_y]
    type = NormalMortarMechanicalContact
    primary_boundary = 'bottom_top'
    secondary_boundary = 'top_bottom'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    variable = mortar_normal_lm
    secondary_variable = disp_y
    component = y
    use_displaced_mesh = true
    compute_lm_residuals = false
    weighted_gap_uo = weighted_vel_uo
  []
  [normal_z]
    type = NormalMortarMechanicalContact
    primary_boundary = 'bottom_top'
    secondary_boundary = 'top_bottom'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    variable = mortar_normal_lm
    secondary_variable = disp_z
    component = z
    use_displaced_mesh = true
    compute_lm_residuals = false
    weighted_gap_uo = weighted_vel_uo
  []
  [tangential_x]
    type = TangentialMortarMechanicalContact
    primary_boundary = 'bottom_top'
    secondary_boundary = 'top_bottom'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    variable = mortar_tangential_lm
    secondary_variable = disp_x
    component = x
    use_displaced_mesh = true
    compute_lm_residuals = false
    weighted_velocities_uo = weighted_vel_uo
  []
  [tangential_y]
    type = TangentialMortarMechanicalContact
    primary_boundary = 'bottom_top'
    secondary_boundary = 'top_bottom'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    variable = mortar_tangential_lm
    secondary_variable = disp_y
    component = y
    use_displaced_mesh = true
    compute_lm_residuals = false
    weighted_velocities_uo = weighted_vel_uo
  []
  [tangential_z]
    type = TangentialMortarMechanicalContact
    primary_boundary = 'bottom_top'
    secondary_boundary = 'top_bottom'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    variable = mortar_tangential_lm
    secondary_variable = disp_z
    component = z
    use_displaced_mesh = true
    compute_lm_residuals = false
    weighted_velocities_uo = weighted_vel_uo
  []
  [tangential_dir_x]
    type = TangentialMortarMechanicalContact
    primary_boundary = 'bottom_top'
    secondary_boundary = 'top_bottom'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    variable = mortar_tangential_3d_lm
    secondary_variable = disp_x
    component = x
    direction = direction_2
    use_displaced_mesh = true
    compute_lm_residuals = false
    weighted_velocities_uo = weighted_vel_uo
  []
  [tangential_dir_y]
    type = TangentialMortarMechanicalContact
    primary_boundary = 'bottom_top'
    secondary_boundary = 'top_bottom'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    variable = mortar_tangential_3d_lm
    secondary_variable = disp_y
    component = y
    direction = direction_2
    use_displaced_mesh = true
    compute_lm_residuals = false
    weighted_velocities_uo = weighted_vel_uo
  []
  [tangential_dir_z]
    type = TangentialMortarMechanicalContact
    primary_boundary = 'bottom_top'
    secondary_boundary = 'top_bottom'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    variable = mortar_tangential_3d_lm
    secondary_variable = disp_z
    component = z
    direction = direction_2
    use_displaced_mesh = true
    compute_lm_residuals = false
    weighted_velocities_uo = weighted_vel_uo
  []
[]

[BCs]
  [botx]
    type = DirichletBC
    variable = disp_x
    boundary = 'bottom_left bottom_right bottom_front bottom_back'
    value = 0.0
  []
  [boty]
    type = DirichletBC
    variable = disp_y
    boundary = 'bottom_left bottom_right bottom_front bottom_back'
    value = 0.0
  []
  [botz]
    type = DirichletBC
    variable = disp_z
    boundary = 'bottom_left bottom_right bottom_front bottom_back'
    value = 0.0
  []
  [topx]
    type = DirichletBC
    variable = disp_x
    boundary = 'top_top'
    value = 0.0
  []
  [topy]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'top_top'
    function = '0.1*t'
  []
  [topz]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'top_top'
    function = '-${starting_point} * sin(2 * pi / 40 * t) + ${offset}'
  []
[]

[Executioner]
  type = Transient
  end_time = .05
  dt = .025
  dtmin = .001
  solve_type = 'PJFNK'
  petsc_options = '-snes_converged_reason -ksp_converged_reason -snes_ksp_ew'
  petsc_options_iname = '-pc_type -pc_factor_mat_solver_type -pc_factor_shift_type -pc_factor_shift_amount -mat_mffd_err'
  petsc_options_value = 'lu       superlu_dist                  NONZERO               1e-14                  1e-5'
  l_max_its = 15
  nl_max_its = 30
  nl_rel_tol = 1e-11
  nl_abs_tol = 1e-12
  line_search = 'basic'
[]

[Debug]
  show_var_residual_norms = true
[]

[Outputs]
  exodus = true
  csv = true
[]

[Preconditioning]
  [smp]
    type = SMP
    full = true
  []
[]

[Postprocessors]
  active = 'contact'
  [contact]
    type = ContactDOFSetSize
    variable = mortar_normal_lm
    subdomain = 'secondary_lower'
    execute_on = 'nonlinear timestep_end'
  []
[]

[VectorPostprocessors]
  [contact-pressure]
    type = NodalValueSampler
    block = secondary_lower
    variable = mortar_normal_lm
    sort_by = 'id'
    execute_on = NONLINEAR
  []
  [frictional-pressure]
    type = NodalValueSampler
    block = secondary_lower
    variable = mortar_tangential_lm
    sort_by = 'id'
    execute_on = NONLINEAR
  []
  [frictional-pressure-3d]
    type = NodalValueSampler
    block = secondary_lower
    variable = mortar_tangential_3d_lm
    sort_by = 'id'
    execute_on = NONLINEAR
  []
  [tangent_x]
    type = NodalValueSampler
    block = secondary_lower
    variable = mortar_tangent_x
    sort_by = 'id'
    execute_on = NONLINEAR
  []
  [tangent_y]
    type = NodalValueSampler
    block = secondary_lower
    variable = mortar_tangent_y
    sort_by = 'id'
    execute_on = NONLINEAR
  []
[]

(modules/solid_mechanics/test/tests/plane_stress/3D_finite_tension_pull.i)

[GlobalParams]
  order = FIRST
  family = LAGRANGE
  displacements = 'disp_x disp_y disp_z'
[]

[Problem]
  extra_tag_vectors = 'ref'
[]

[Mesh]
  [gmg]
    type = GeneratedMeshGenerator
    dim = 3
    nx = 1
    ny = 1
    nz = 1
  []
[]

[AuxVariables]
  [react_x]
  []
[]

[Postprocessors]
  [react_x]
    type = NodalSum
    variable = 'react_x'
    boundary = 'right'
  []
  [stress_xx]
    type = ElementalVariableValue
    variable = 'stress_xx'
    elementid = 0
  []
  [strain_zz]
    type = ElementalVariableValue
    variable = 'strain_zz'
    elementid = 0
  []
[]

[Physics/SolidMechanics/QuasiStatic]
  [plane_stress]
    strain = FINITE
    extra_vector_tags = 'ref'
    generate_output = 'stress_xx stress_xy stress_yy stress_zz strain_xx strain_xy strain_yy strain_zz'
    add_variables = true
  []
[]

[AuxKernels]
  [react_x]
    type = TagVectorAux
    vector_tag = 'ref'
    v = 'disp_x'
    variable = 'react_x'
  []
[]

[BCs]
  [leftx]
    type = DirichletBC
    boundary = left
    variable = disp_x
    value = 0.0
  []
  [bottomy]
    type = DirichletBC
    boundary = bottom
    variable = disp_y
    value = 0.0
  []
  [backz]
    type = DirichletBC
    boundary = back
    variable = disp_z
    value = 0.0
  []
  [rightx]
    type = FunctionDirichletBC
    boundary = right
    variable = disp_x
    function = 't'
  []
[]

[Materials]
  [elasticity_tensor]
    type = ComputeIsotropicElasticityTensor
    poissons_ratio = 0.3
    youngs_modulus = 1e6
  []
  [stress]
    type = ComputeFiniteStrainElasticStress
  []
[]

[Executioner]
  type = Transient

  solve_type = PJFNK
  line_search = none

  nl_rel_tol = 1e-12
  nl_abs_tol = 1e-10

  # time control
  start_time = 0.0
  dt = 0.01
  dtmin = 0.01
  end_time = 0.2
[]

[Outputs]
  csv = true
[]

(modules/contact/test/tests/bouncing-block-contact/frictional-mortar-min-lm-mortar-disp.i)

starting_point = 2e-1

# We offset slightly so we avoid the case where the bottom of the secondary block and the top of the
# primary block are perfectly vertically aligned which can cause the backtracking line search some
# issues for a coarse mesh (basic line search handles that fine)
offset = 1e-2

[GlobalParams]
  displacements = 'disp_x disp_y'
  diffusivity = 1e0
  scaling = 1e0
[]

[Mesh]
  file = long-bottom-block-1elem-blocks.e
[]

[Variables]
  [./disp_x]
    block = '1 2'
    # order = SECOND
  [../]
  [./disp_y]
    block = '1 2'
    # order = SECOND
  [../]
  [./normal_lm]
    block = 3
    family = MONOMIAL
    order = CONSTANT
  [../]
  [./tangential_lm]
    block = 3
    family = MONOMIAL
    order = CONSTANT
  [../]
[]

[ICs]
  [./disp_y]
    block = 2
    variable = disp_y
    value = ${fparse starting_point + offset}
    type = ConstantIC
  [../]
[]

[Kernels]
  [./disp_x]
    type = MatDiffusion
    variable = disp_x
  [../]
  [./disp_y]
    type = MatDiffusion
    variable = disp_y
  [../]
[]


[Constraints]
  [normal_lm]
    type = NormalMortarLMMechanicalContact
    primary_boundary = 20
    secondary_boundary = 10
    primary_subdomain = 4
    secondary_subdomain = 3
    variable = normal_lm
    secondary_variable = disp_x
    secondary_disp_y = disp_y
    use_displaced_mesh = true
    compute_primal_residuals = false
    ncp_function_type = min
  []
  [normal_x]
    type = NormalMortarMechanicalContact
    primary_boundary = 20
    secondary_boundary = 10
    primary_subdomain = 4
    secondary_subdomain = 3
    variable = normal_lm
    secondary_variable = disp_x
    component = x
    use_displaced_mesh = true
    compute_lm_residuals = false
  []
  [normal_y]
    type = NormalMortarMechanicalContact
    primary_boundary = 20
    secondary_boundary = 10
    primary_subdomain = 4
    secondary_subdomain = 3
    variable = normal_lm
    secondary_variable = disp_y
    component = y
    use_displaced_mesh = true
    compute_lm_residuals = false
  []
  [tangential_lm]
    type = TangentialMortarLMMechanicalContact
    primary_boundary = 20
    secondary_boundary = 10
    primary_subdomain = 4
    secondary_subdomain = 3
    variable = tangential_lm
    secondary_variable = disp_x
    secondary_disp_y = disp_y
    use_displaced_mesh = true
    compute_primal_residuals = false
    contact_pressure = normal_lm
    friction_coefficient = .1
    ncp_function_type = min
  []
  [tangential_x]
    type = TangentialMortarMechanicalContact
    primary_boundary = 20
    secondary_boundary = 10
    primary_subdomain = 4
    secondary_subdomain = 3
    variable = tangential_lm
    secondary_variable = disp_x
    component = x
    use_displaced_mesh = true
    compute_lm_residuals = false
  []
  [tangential_y]
    type = TangentialMortarMechanicalContact
    primary_boundary = 20
    secondary_boundary = 10
    primary_subdomain = 4
    secondary_subdomain = 3
    variable = tangential_lm
    secondary_variable = disp_y
    component = y
    use_displaced_mesh = true
    compute_lm_residuals = false
  []
[]

[BCs]
  [./botx]
    type = DirichletBC
    variable = disp_x
    preset = false
    boundary = 40
    value = 0.0
  [../]
  [./boty]
    type = DirichletBC
    variable = disp_y
    preset = false
    boundary = 40
    value = 0.0
  [../]
  [./topy]
    type = FunctionDirichletBC
    variable = disp_y
    preset = false
    boundary = 30
    function = '${starting_point} * cos(2 * pi / 40 * t) + ${offset}'
  [../]
  [./leftx]
    type = FunctionDirichletBC
    variable = disp_x
    preset = false
    boundary = 50
    function = '1e-2 * t'
  [../]
[]

[Executioner]
  type = Transient
  end_time = 200
  dt = 5
  dtmin = .1
  solve_type = 'PJFNK'
  petsc_options = '-snes_converged_reason -ksp_converged_reason -pc_svd_monitor -snes_linesearch_monitor -snes_ksp_ew'
  petsc_options_iname = '-pc_type -pc_factor_shift_type -pc_factor_shift_amount -mat_mffd_err'
  petsc_options_value = 'lu       NONZERO               1e-15                   1e-5'
  l_max_its = 30
  nl_max_its = 20
  line_search = 'none'
  snesmf_reuse_base = false
[]

[Debug]
  show_var_residual_norms = true
[]

[Outputs]
  exodus = true
[]

[Preconditioning]
  [./smp]
    type = SMP
    full = true
  [../]
[]

[Postprocessors]
  [./num_nl]
    type = NumNonlinearIterations
  [../]
  [./cumulative]
    type = CumulativeValuePostprocessor
    postprocessor = num_nl
  [../]
  [contact]
    type = ContactDOFSetSize
    variable = normal_lm
    subdomain = '3'
    execute_on = 'nonlinear timestep_end'
  []
[]

(test/tests/functions/piecewise_linear_from_vectorpostprocessor/vector_postprocessor_function.i)

# This function linearly interpolates the data generated by a vector post
# processor. The purpose is to have a function take points and a field variable
# (aux or primary) as arguments.
# It also uses a ConstantVectorPostprocessor to test that parallel syncing is
# working for VectorPostprocessorFunction.
[Mesh]
  type = GeneratedMesh
  dim = 2
  nx = 2
  ny = 4
  xmin = 0.0
  xmax = 0.004
  ymin = 0.0
  ymax = 0.008
[]

[Variables]
  [u]
    initial_condition = 0
  []
[]

[AuxVariables]
  [v]
    initial_condition = 1
  []
  [test_parallel]
  []
[]

[Functions]
  [ramp_u]
    type = ParsedFunction
    expression = 't'
  []
  [point_value_function_u]
    type = VectorPostprocessorFunction
    component = y
    argument_column = y
    value_column = u
    vectorpostprocessor_name = point_value_vector_postprocessor_u
  []
  [line_value_function_v]
    type = VectorPostprocessorFunction
    component = y
    argument_column = y
    value_column = v
    vectorpostprocessor_name = line_value_vector_postprocessor_v
  []
  [test_parallel_func]
    type = VectorPostprocessorFunction
    component = x
    argument_column = xx
    value_column = qq
    vectorpostprocessor_name = test_parallel_vpp
  []
  [function_v]
    type = PiecewiseLinear
    x = '0 0.008'
    y = '1 2'
    axis = y
  []
[]

[Kernels]
  [diffusion_u]
    type = Diffusion
    variable = u
  []
[]

[AuxKernels]
  [aux_v]
    type = FunctionAux
    variable = v
    function = function_v
    execute_on = 'TIMESTEP_BEGIN'
  []
  [test_parallel]
    type = FunctionAux
    variable = test_parallel
    function = test_parallel_func
    execute_on = 'TIMESTEP_END'
  []
[]

[BCs]
  [top_u]
    type = FunctionDirichletBC
    boundary = top
    variable = u
    function = ramp_u
  []
  [bottom_u]
    type = DirichletBC
    boundary = bottom
    variable = u
    value = 0
  []
[]

[Executioner]
  type = Transient
  solve_type = 'PJFNK'
  petsc_options = '-snes_ksp_ew'
  petsc_options_iname = '-pc_type -pc_factor_mat_solver_package -ksp_gmres_restart'
  petsc_options_value = ' lu       superlu_dist                 51'
  line_search = 'none'
  l_max_its = 50
  l_tol = 1e-3
  nl_max_its = 20
  nl_rel_tol = 1e-4
  nl_abs_tol = 1e-6
  start_time = 0
  num_steps = 1
  dt = 1
[]
[Postprocessors]
  [point_value_postprocessor_u]
    type = FunctionValuePostprocessor
    function = point_value_function_u
    point = '0.002 0.004 0'
  []
  [line_value_postprocessor_v]
    type = FunctionValuePostprocessor
    function = line_value_function_v
    point = '0.002 0.004 0'
  []
  [postprocessor_average_u]
    type = ElementAverageValue
    variable = u
  []
  [postprocessor_average_v]
    type = ElementAverageValue
    variable = v
  []
[]
[VectorPostprocessors]
  [point_value_vector_postprocessor_u]
    type = PointValueSampler
    variable = u
    points = '0 0.001 0 0 0.004 0 0 0.008 0'
    #points = '0.001 0 0 0.002 0 0'
    sort_by = y
    execute_on = linear
  []
  [line_value_vector_postprocessor_v]
    type = LineValueSampler
    variable = v
    start_point = '0 0.001 0'
    end_point = '0 0.008 0'
    num_points = 5
    sort_by = y
    execute_on = linear
  []
  [test_parallel_vpp]
    type = ConstantVectorPostprocessor
    vector_names = 'xx qq'
    value = '0    1;
             1000 1000'
    execute_on = 'initial timestep_begin'
  []
[]
[Outputs]
  time_step_interval = 1
  csv = false
  exodus = true
  file_base = out
  [console]
    type = Console
    output_linear = true
    max_rows = 10
  []
[]

(modules/solid_mechanics/test/tests/j2_plasticity/hard1.i)

# UserObject J2 test, with hardening, but with rate=0
# apply uniform compression in x direction to give
# trial stress_xx = -5, so sqrt(3*J2) = 5
# with zero Poisson's ratio, this should return to
# stress_xx = -3, stress_yy = -1 = stress_zz,
# for strength = 2
# (note that stress_xx - stress_yy = stress_xx - stress_zz = -2, so sqrt(3*j2) = 2,
#  and that the mean stress remains = -5/3)

[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]


[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
[]

[Kernels]
  [SolidMechanics]
    displacements = 'disp_x disp_y disp_z'
  [../]
[]


[BCs]
  [./x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'front back'
    function = '-2.5E-6*x'
  [../]
  [./y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'front back'
    function = '0E-6*y'
  [../]
  [./z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'front back'
    function = '0E-6*z'
  [../]
[]

[AuxVariables]
  [./stress_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./iter]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]

[AuxKernels]
  [./stress_xx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xx
    index_i = 0
    index_j = 0
  [../]
  [./stress_xy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xy
    index_i = 0
    index_j = 1
  [../]
  [./stress_xz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xz
    index_i = 0
    index_j = 2
  [../]
  [./stress_yy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yy
    index_i = 1
    index_j = 1
  [../]
  [./stress_yz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yz
    index_i = 1
    index_j = 2
  [../]
  [./stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zz
    index_i = 2
    index_j = 2
  [../]
  [./f]
    type = MaterialStdVectorAux
    index = 0
    property = plastic_yield_function
    variable = f
  [../]
  [./iter]
    type = MaterialRealAux
    property = plastic_NR_iterations
    variable = iter
  [../]
[]

[Postprocessors]
  [./s_xx]
    type = PointValue
    point = '0 0 0'
    variable = stress_xx
  [../]
  [./s_xy]
    type = PointValue
    point = '0 0 0'
    variable = stress_xy
  [../]
  [./s_xz]
    type = PointValue
    point = '0 0 0'
    variable = stress_xz
  [../]
  [./s_yy]
    type = PointValue
    point = '0 0 0'
    variable = stress_yy
  [../]
  [./s_yz]
    type = PointValue
    point = '0 0 0'
    variable = stress_yz
  [../]
  [./s_zz]
    type = PointValue
    point = '0 0 0'
    variable = stress_zz
  [../]
  [./f]
    type = PointValue
    point = '0 0 0'
    variable = f
  [../]
  [./iter]
    type = PointValue
    point = '0 0 0'
    variable = iter
  [../]
[]

[UserObjects]
  [./str]
    type = SolidMechanicsHardeningConstant
    value = 2
  [../]
  [./j2]
    type = SolidMechanicsPlasticJ2
    yield_strength = str
    yield_function_tolerance = 1E-3
    internal_constraint_tolerance = 1E-9
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    block = 0
    fill_method = symmetric_isotropic
    C_ijkl = '0 1E6'
  [../]
  [./strain]
    type = ComputeFiniteStrain
    block = 0
    displacements = 'disp_x disp_y disp_z'
  [../]
  [./mc]
    type = ComputeMultiPlasticityStress
    block = 0
    ep_plastic_tolerance = 1E-9
    plastic_models = j2
    debug_fspb = crash
  [../]
[]


[Executioner]
  end_time = 1
  dt = 1
  type = Transient
[]


[Outputs]
  file_base = hard1
  exodus = false
  [./csv]
    type = CSV
    [../]
[]

(modules/porous_flow/test/tests/hysteresis/hys_sat_02.i)

# 1-phase hysteresis.  Saturation calculation.  Primary drying curve with low_extension_type = quadratic
# When comparing the results with a by-hand computation, remember the MOOSE results are averaged over an element
[Mesh]
  [mesh]
    type = GeneratedMeshGenerator
    dim = 1
    xmin = 0
    xmax = 10
    nx = 100
  []
[]

[GlobalParams]
  PorousFlowDictator = dictator
[]

[UserObjects]
  [dictator]
    type = PorousFlowDictator
    number_fluid_phases = 1
    number_fluid_components = 1
    porous_flow_vars = pp
  []
[]

[Variables]
  [pp]
  []
[]

[ICs]
  [pp]
    type = FunctionIC
    variable = pp
    function = '1 - x'
  []
[]

[BCs]
  [pp]
    type = FunctionDirichletBC
    variable = pp
    function = '1 - x'
    boundary = 'left right'
  []
[]

[Kernels]
  [dummy]
    type = Diffusion
    variable = pp
  []
[]

[Materials]
  [hys_order]
    type = PorousFlowHysteresisOrder
  []
  [saturation_calculator]
    type = PorousFlow1PhaseHysP
    alpha_d = 10.0
    alpha_w = 10.0
    n_d = 1.1
    n_w = 1.9
    S_l_min = 0.1
    S_lr = 0.2
    S_gr_max = 0.3
    Pc_max = 7.0
    low_extension_type = quadratic
    porepressure = pp
  []
[]

[AuxVariables]
  [hys_order]
    family = MONOMIAL
    order = CONSTANT
  []
  [saturation]
    family = MONOMIAL
    order = CONSTANT
  []
[]

[AuxKernels]
  [hys_order]
    type = PorousFlowPropertyAux
    variable = hys_order
    property = hysteresis_order
  []
  [saturation]
    type = PorousFlowPropertyAux
    variable = saturation
    property = saturation
    phase = 0
  []
[]

[VectorPostprocessors]
  [sat]
    type = LineValueSampler
    warn_discontinuous_face_values = false
    start_point = '0.5 0 0'
    end_point = '9.5 0 0'
    num_points = 10
    sort_by = x
    variable = 'saturation pp'
  []
[]

[Executioner]
  type = Transient
  solve_type = Linear
  dt = 1
  end_time = 1
[]

[Outputs]
  csv = true
[]

(test/tests/postprocessors/element_integral_var_pps/pps_old_value.i)

[Mesh]
  type = GeneratedMesh
  dim = 2
  xmin = 0
  xmax = 1
  ymin = 0
  ymax = 1
  nx = 4
  ny = 4
  elem_type = QUAD4
[]

[Variables]
  [./u]
    order = FIRST
    family = LAGRANGE
    initial_condition = 1
  [../]
[]

[Functions]
  [./force_fn]
    type = ParsedFunction
    expression = '1'
  [../]

  [./exact_fn]
    type = ParsedFunction
    expression = 't'
  [../]
[]

[Kernels]
  [./time_u]
    type = TimeDerivative
    variable = u
  [../]

  [./diff_u]
    type = Diffusion
    variable = u
  [../]

  [./ffn_u]
    type = BodyForce
    variable = u
    function = force_fn
  [../]
[]

[BCs]
  [./all_u]
    type = FunctionDirichletBC
    variable = u
    boundary = '0 1 2 3'
    function = exact_fn
  [../]
[]

[Postprocessors]
  [./a]
    type = ElementIntegralVariablePostprocessor
    variable = u
    execute_on = 'initial timestep_end'
  [../]

  [./total_a]
    type = TimeIntegratedPostprocessor
    value = a
    execute_on = 'initial timestep_end'
  [../]
[]

[Executioner]
  type = Transient

  solve_type = 'PJFNK'

  dt = 1
  start_time = 1
  end_time = 3
[]

[Outputs]
  execute_on = 'timestep_end'
  exodus = true
[]

(modules/porous_flow/examples/ates/ates.i)

# Simulation designed to assess the recovery efficiency of a single-well ATES system
# Using KT stabilisation
# Boundary conditions: fixed porepressure and temperature at top, bottom and far end of model.

#####################################
flux_limiter = minmod # minmod, vanleer, mc, superbee, none
# depth of top of aquifer (m)
depth = 400

inject_fluid_mass = 1E8 # kg
produce_fluid_mass = ${inject_fluid_mass} # kg
inject_temp = 90 # degC

inject_time = 91 # days
store_time = 91 # days
produce_time = 91 # days
rest_time = 91 # days
num_cycles = 5 # Currently needs to be <= 10

cycle_length = '${fparse inject_time + store_time + produce_time + rest_time}'

end_simulation = '${fparse cycle_length * num_cycles}'

# Note: I have setup 10 cycles but you can set num_cycles less than 10.
start_injection1 = 0
start_injection2 = ${cycle_length}
start_injection3 = '${fparse cycle_length * 2}'
start_injection4 = '${fparse cycle_length * 3}'
start_injection5 = '${fparse cycle_length * 4}'
start_injection6 = '${fparse cycle_length * 5}'
start_injection7 = '${fparse cycle_length * 6}'
start_injection8 = '${fparse cycle_length * 7}'
start_injection9 = '${fparse cycle_length * 8}'
start_injection10 = '${fparse cycle_length * 9}'

end_injection1 = '${fparse start_injection1 + inject_time}'
end_injection2 = '${fparse start_injection2 + inject_time}'
end_injection3 = '${fparse start_injection3 + inject_time}'
end_injection4 = '${fparse start_injection4 + inject_time}'
end_injection5 = '${fparse start_injection5 + inject_time}'
end_injection6 = '${fparse start_injection6 + inject_time}'
end_injection7 = '${fparse start_injection7 + inject_time}'
end_injection8 = '${fparse start_injection8 + inject_time}'
end_injection9 = '${fparse start_injection9 + inject_time}'
end_injection10 = '${fparse start_injection10 + inject_time}'

start_production1 = '${fparse end_injection1 + store_time}'
start_production2 = '${fparse end_injection2 + store_time}'
start_production3 = '${fparse end_injection3 + store_time}'
start_production4 = '${fparse end_injection4 + store_time}'
start_production5 = '${fparse end_injection5 + store_time}'
start_production6 = '${fparse end_injection6 + store_time}'
start_production7 = '${fparse end_injection7 + store_time}'
start_production8 = '${fparse end_injection8 + store_time}'
start_production9 = '${fparse end_injection9 + store_time}'
start_production10 = '${fparse end_injection10 + store_time}'

end_production1 = '${fparse start_production1 + produce_time}'
end_production2 = '${fparse start_production2 + produce_time}'
end_production3 = '${fparse start_production3 + produce_time}'
end_production4 = '${fparse start_production4 + produce_time}'
end_production5 = '${fparse start_production5 + produce_time}'
end_production6 = '${fparse start_production6 + produce_time}'
end_production7 = '${fparse start_production7 + produce_time}'
end_production8 = '${fparse start_production8 + produce_time}'
end_production9 = '${fparse start_production9 + produce_time}'
end_production10 = '${fparse start_production10 + produce_time}'

synctimes = '${start_injection1} ${end_injection1} ${start_production1} ${end_production1}
             ${start_injection2} ${end_injection2} ${start_production2} ${end_production2}
             ${start_injection3} ${end_injection3} ${start_production3} ${end_production3}
             ${start_injection4} ${end_injection4} ${start_production4} ${end_production4}
             ${start_injection5} ${end_injection5} ${start_production5} ${end_production5}
             ${start_injection6} ${end_injection6} ${start_production6} ${end_production6}
             ${start_injection7} ${end_injection7} ${start_production7} ${end_production7}
             ${start_injection8} ${end_injection8} ${start_production8} ${end_production8}
             ${start_injection9} ${end_injection9} ${start_production9} ${end_production9}
             ${start_injection10} ${end_injection10} ${start_production10} ${end_production10}'

#####################################
# Geometry in RZ coordinates
# borehole radius (m)
bh_r = 0.1
# model radius (m)
max_r = 1000
# aquifer thickness (m)
aq_thickness = 20
# cap thickness (m)
cap_thickness = 40
# injection region top and bottom (m).  Note, the mesh is created with the aquifer in y = (-0.5 * aq_thickness, 0.5 * aq_thickness), irrespective of depth (depth only sets the insitu porepressure and temperature)
screen_top = '${fparse 0.5 * aq_thickness}'
screen_bottom = '${fparse -0.5 * aq_thickness}'

# number of elements in radial direction
num_r = 25
# number of elements across half height of aquifer
num_y_aq = 10
# number of elements across height of cap
num_y_cap = 8

# mesh bias in radial direction
bias_r = 1.22
# mesh bias in vertical direction in aquifer top
bias_y_aq_top = 0.9
# mesh bias in vertical direction in cap top
bias_y_cap_top = 1.3
# mesh bias in vertical direction in aquifer bottom
bias_y_aq_bottom = '${fparse 1.0 / bias_y_aq_top}'
# mesh bias in vertical direction in cap bottom
bias_y_cap_bottom = '${fparse 1.0 / bias_y_cap_top}'
depth_centre = '${fparse depth + aq_thickness/2}'

#####################################
# temperature at ground surface (degC)
temp0 = 20
# Vertical geothermal gradient (K/m).  A positive number means temperature increases downwards.
geothermal_gradient = 20E-3

#####################################
# Gravity
gravity = -9.81

#####################################
half_aq_thickness = '${fparse aq_thickness * 0.5}'
half_height = '${fparse half_aq_thickness + cap_thickness}'
approx_screen_length = '${fparse screen_top - screen_bottom}'

# Thermal radius (note this is not strictly correct, it should use the bulk specific heat
#  capacity as defined below, but it doesn't matter here because this is purely for
#  defining the region of refined mesh)
th_r = '${fparse sqrt(inject_fluid_mass / 1000 * 4.12e6 / (approx_screen_length * 3.1416 * aq_specific_heat_cap * aq_density))}'
# radius of fine mesh
fine_r = '${fparse th_r * 2}'
bias_r_fine = 1
num_r_fine = '${fparse int(fine_r/1)}'

######################################
# aquifer properties
aq_porosity = 0.25
aq_hor_perm = 1E-11 # m^2
aq_ver_perm = 2E-12 # m^2
aq_density = 2650 # kg/m^3
aq_specific_heat_cap = 800 # J/Kg/K
aq_hor_thermal_cond = 3 # W/m/K
aq_ver_thermal_cond = 3 # W/m/K
aq_disp_parallel = 0 # m
aq_disp_perp = 0 # m
# Bulk volumetric heat capacity of aquifer:
aq_vol_cp = '${fparse aq_specific_heat_cap * aq_density * (1 - aq_porosity) + 4180 * 1000 * aq_porosity}'
# Thermal radius (correct version using bulk cp):
R_th = '${fparse sqrt(inject_fluid_mass * 4180 / (approx_screen_length * 3.1416 * aq_vol_cp))}'
aq_lambda_eff_hor = '${fparse aq_hor_thermal_cond + 0.3 * aq_disp_parallel * R_th * aq_vol_cp / (inject_time * 60 * 60 * 24)}'
aq_lambda_eff_ver = '${fparse aq_ver_thermal_cond + 0.3 * aq_disp_perp * R_th * aq_vol_cp / (inject_time * 60 * 60 * 24)}'
aq_hor_dry_thermal_cond = '${fparse aq_lambda_eff_hor * 60 * 60 * 24}' # J/day/m/K
aq_ver_dry_thermal_cond = '${fparse aq_lambda_eff_ver * 60 * 60 * 24}' # J/day/m/K
aq_hor_wet_thermal_cond = '${fparse aq_lambda_eff_hor * 60 * 60 * 24}' # J/day/m/K
aq_ver_wet_thermal_cond = '${fparse aq_lambda_eff_ver * 60 * 60 * 24}' # J/day/m/K
# cap-rock properties
cap_porosity = 0.25
cap_hor_perm = 1E-16 # m^2
cap_ver_perm = 1E-17 # m^2
cap_density = 2650 # kg/m^3
cap_specific_heat_cap = 800 # J/kg/K
cap_hor_thermal_cond = 3 # W/m/K
cap_ver_thermal_cond = 3 # W/m/K
cap_hor_dry_thermal_cond = '${fparse cap_hor_thermal_cond * 60 * 60 * 24}' # J/day/m/K
cap_ver_dry_thermal_cond = '${fparse cap_ver_thermal_cond * 60 * 60 * 24}' # J/day/m/K
cap_hor_wet_thermal_cond = '${fparse cap_hor_thermal_cond * 60 * 60 * 24}' # J/day/m/K
cap_ver_wet_thermal_cond = '${fparse cap_ver_thermal_cond * 60 * 60 * 24}' # J/day/m/K

######################################

[Mesh]
  coord_type = RZ
  [aq_top_fine]
    type = GeneratedMeshGenerator
    dim = 2
    nx = ${num_r_fine}
    xmin = ${bh_r}
    xmax = ${fine_r}
    bias_x = ${bias_r_fine}
    bias_y = ${bias_y_aq_top}
    ny = ${num_y_aq}
    ymin = 0
    ymax = ${half_aq_thickness}
  []
  [cap_top_fine]
    type = GeneratedMeshGenerator
    dim = 2
    nx = ${num_r_fine}
    xmin = ${bh_r}
    xmax = ${fine_r}
    bias_x = ${bias_r_fine}
    bias_y = ${bias_y_cap_top}
    ny = ${num_y_cap}
    ymax = ${half_height}
    ymin = ${half_aq_thickness}
  []
  [aq_and_cap_top_fine]
    type = StitchedMeshGenerator
    inputs = 'aq_top_fine cap_top_fine'
    clear_stitched_boundary_ids = true
    stitch_boundaries_pairs = 'top bottom'
  []
  [aq_bottom_fine]
    type = GeneratedMeshGenerator
    dim = 2
    nx = ${num_r_fine}
    xmin = ${bh_r}
    xmax = ${fine_r}
    bias_x = ${bias_r_fine}
    bias_y = ${bias_y_aq_bottom}
    ny = ${num_y_aq}
    ymax = 0
    ymin = -${half_aq_thickness}
  []
  [cap_bottom_fine]
    type = GeneratedMeshGenerator
    dim = 2
    nx = ${num_r_fine}
    xmin = ${bh_r}
    xmax = ${fine_r}
    bias_x = ${bias_r_fine}
    bias_y = ${bias_y_cap_bottom}
    ny = ${num_y_cap}
    ymin = -${half_height}
    ymax = -${half_aq_thickness}
  []
  [aq_and_cap_bottom_fine]
    type = StitchedMeshGenerator
    inputs = 'aq_bottom_fine cap_bottom_fine'
    clear_stitched_boundary_ids = true
    stitch_boundaries_pairs = 'bottom top'
    merge_boundaries_with_same_name = false
  []
  [aq_and_cap_fine]
    type = StitchedMeshGenerator
    inputs = 'aq_and_cap_bottom_fine aq_and_cap_top_fine'
    clear_stitched_boundary_ids = true
    stitch_boundaries_pairs = 'top bottom'
  []

  [aq_top]
    type = GeneratedMeshGenerator
    dim = 2
    nx = ${num_r}
    xmin = ${fine_r}
    xmax = ${max_r}
    bias_x = ${bias_r}
    bias_y = ${bias_y_aq_top}
    ny = ${num_y_aq}
    ymin = 0
    ymax = ${half_aq_thickness}
  []
  [cap_top]
    type = GeneratedMeshGenerator
    dim = 2
    nx = ${num_r}
    xmin = ${fine_r}
    xmax = ${max_r}
    bias_x = ${bias_r}
    bias_y = ${bias_y_cap_top}
    ny = ${num_y_cap}
    ymax = ${half_height}
    ymin = ${half_aq_thickness}
  []
  [aq_and_cap_top]
    type = StitchedMeshGenerator
    inputs = 'aq_top cap_top'
    clear_stitched_boundary_ids = true
    stitch_boundaries_pairs = 'top bottom'
  []
  [aq_bottom]
    type = GeneratedMeshGenerator
    dim = 2
    nx = ${num_r}
    xmin = ${fine_r}
    xmax = ${max_r}
    bias_x = ${bias_r}
    bias_y = ${bias_y_aq_bottom}
    ny = ${num_y_aq}
    ymax = 0
    ymin = -${half_aq_thickness}
  []
  [cap_bottom]
    type = GeneratedMeshGenerator
    dim = 2
    nx = ${num_r}
    xmin = ${fine_r}
    xmax = ${max_r}
    bias_x = ${bias_r}
    bias_y = ${bias_y_cap_bottom}
    ny = ${num_y_cap}
    ymin = -${half_height}
    ymax = -${half_aq_thickness}
  []
  [aq_and_cap_bottom]
    type = StitchedMeshGenerator
    inputs = 'aq_bottom cap_bottom'
    clear_stitched_boundary_ids = true
    stitch_boundaries_pairs = 'bottom top'
  []
  [aq_and_cap]
    type = StitchedMeshGenerator
    inputs = 'aq_and_cap_bottom aq_and_cap_top'
    clear_stitched_boundary_ids = true
    stitch_boundaries_pairs = 'top bottom'
  []

  [aq_and_cap_all]
    type = StitchedMeshGenerator
    inputs = 'aq_and_cap_fine aq_and_cap'
    clear_stitched_boundary_ids = true
    stitch_boundaries_pairs = 'right left'
  []

  [aquifer]
    type = ParsedSubdomainMeshGenerator
    input = aq_and_cap_all
    combinatorial_geometry = 'y >= -${half_aq_thickness} & y <= ${half_aq_thickness}'
    block_id = 1
  []
  [top_cap]
    type = ParsedSubdomainMeshGenerator
    input = aquifer
    combinatorial_geometry = 'y >= ${half_aq_thickness}'
    block_id = 2
  []
  [bottom_cap]
    type = ParsedSubdomainMeshGenerator
    input = top_cap
    combinatorial_geometry = 'y <= -${half_aq_thickness}'
    block_id = 3
  []
  [injection_area]
    type = ParsedGenerateSideset
    combinatorial_geometry = 'x<=${bh_r}*1.000001 & y >= ${screen_bottom} & y <= ${screen_top}'
    included_subdomains = 1
    new_sideset_name = 'injection_area'
    input = 'bottom_cap'
  []
  [rename]
    type = RenameBlockGenerator
    old_block = '1 2 3'
    new_block = 'aquifer caps caps'
    input = 'injection_area'
  []
[]

[GlobalParams]
  PorousFlowDictator = dictator
  gravity = '0 ${gravity} 0'
[]

[Variables]
  [porepressure]
  []
  [temperature]
    scaling = 1E-5
  []
[]

[PorousFlowFullySaturated]
  coupling_type = ThermoHydro
  porepressure = porepressure
  temperature = temperature
  fp = tabulated_water
  stabilization = KT
  flux_limiter_type = ${flux_limiter}
  use_displaced_mesh = false
  temperature_unit = Celsius
  pressure_unit = Pa
  time_unit = days
[]

[ICs]
  [porepressure]
    type = FunctionIC
    variable = porepressure
    function = insitu_pressure
  []
  [temperature]
    type = FunctionIC
    variable = temperature
    function = insitu_temperature
  []
[]

[BCs]
  [outer_boundary_porepressure]
    type = FunctionDirichletBC
    preset = true
    variable = porepressure
    function = insitu_pressure
    boundary = 'bottom right top'
  []
  [outer_boundary_temperature]
    type = FunctionDirichletBC
    preset = true
    variable = temperature
    function = insitu_temperature
    boundary = 'bottom right top'
  []
  [inject_heat]
    type = FunctionDirichletBC
    variable = temperature
    function = ${inject_temp}
    boundary = 'injection_area'
  []
  [inject_fluid]
    type = PorousFlowSink
    variable = porepressure
    boundary = injection_area
    flux_function = injection_rate_value
  []
  [produce_heat]
    type = PorousFlowSink
    variable = temperature
    boundary = injection_area
    flux_function = production_rate_value
    fluid_phase = 0
    use_enthalpy = true
    save_in = heat_flux_out
  []
  [produce_fluid]
    type = PorousFlowSink
    variable = porepressure
    boundary = injection_area
    flux_function = production_rate_value
  []
[]

[Controls]
  [inject_on]
    type = ConditionalFunctionEnableControl
    enable_objects = 'BCs::inject_heat BCs::inject_fluid'
    conditional_function = inject
    implicit = false
    execute_on = 'initial timestep_begin'
  []
  [produce_on]
    type = ConditionalFunctionEnableControl
    enable_objects = 'BCs::produce_heat BCs::produce_fluid'
    conditional_function = produce
    implicit = false
    execute_on = 'initial timestep_begin'
  []
[]

[Functions]
  [insitu_pressure]
    type = ParsedFunction
    expression = '(y - ${depth_centre}) * 1000 * ${gravity} + 1E5' # approx insitu pressure in Pa
  []
  [insitu_temperature]
    type = ParsedFunction
    expression = '${temp0} + (${depth_centre} - y) * ${geothermal_gradient}'
  []

  [inject]
    type = ParsedFunction
    expression = 'if(t >= ${start_injection1} & t < ${end_injection1}, 1,
             if(t >= ${start_injection2} & t < ${end_injection2}, 1,
             if(t >= ${start_injection3} & t < ${end_injection3}, 1,
             if(t >= ${start_injection4} & t < ${end_injection4}, 1,
             if(t >= ${start_injection5} & t < ${end_injection5}, 1,
             if(t >= ${start_injection6} & t < ${end_injection6}, 1,
             if(t >= ${start_injection7} & t < ${end_injection7}, 1,
             if(t >= ${start_injection8} & t < ${end_injection8}, 1,
             if(t >= ${start_injection9} & t < ${end_injection9}, 1,
             if(t >= ${start_injection10} & t < ${end_injection10}, 1, 0))))))))))'
  []
  [produce]
    type = ParsedFunction
    expression = 'if(t >= ${start_production1} & t < ${end_production1}, 1,
             if(t >= ${start_production2} & t < ${end_production2}, 1,
             if(t >= ${start_production3} & t < ${end_production3}, 1,
             if(t >= ${start_production4} & t < ${end_production4}, 1,
             if(t >= ${start_production5} & t < ${end_production5}, 1,
             if(t >= ${start_production6} & t < ${end_production6}, 1,
             if(t >= ${start_production7} & t < ${end_production7}, 1,
             if(t >= ${start_production8} & t < ${end_production8}, 1,
             if(t >= ${start_production9} & t < ${end_production9}, 1,
             if(t >= ${start_production10} & t < ${end_production10}, 1, 0))))))))))'
  []

  [injection_rate_value]
    type = ParsedFunction
    symbol_names = true_screen_area
    symbol_values = true_screen_area
    expression = '-${inject_fluid_mass}/(true_screen_area * ${inject_time})'
  []
  [production_rate_value]
    type = ParsedFunction
    symbol_names = true_screen_area
    symbol_values = true_screen_area
    expression = '${produce_fluid_mass}/(true_screen_area * ${produce_time})'
  []

  [heat_out_in_timestep]
    type = ParsedFunction
    symbol_names = 'dt heat_out'
    symbol_values = 'dt heat_out_fromBC'
    expression = 'dt*heat_out'
  []
  [produced_T_time_integrated]
    type = ParsedFunction
    symbol_names = 'dt produced_T'
    symbol_values = 'dt produced_T'
    expression = 'dt*produced_T / ${produce_time}'
  []
[]

[AuxVariables]
  [density]
    family = MONOMIAL
    order = CONSTANT
  []
  [porosity]
    family = MONOMIAL
    order = CONSTANT
  []
  [heat_flux_out]
    outputs = none
  []
[]

[AuxKernels]
  [density]
    type = PorousFlowPropertyAux
    variable = density
    property = density
  []
  [porosity]
    type = PorousFlowPropertyAux
    variable = porosity
    property = porosity
  []
[]

[FluidProperties]
  [true_water]
    type = Water97FluidProperties
  []
  [tabulated_water]
    type = TabulatedFluidProperties
    fp = true_water
    temperature_min = 275 # K
    temperature_max = 600
    interpolated_properties = 'density viscosity enthalpy internal_energy'
    fluid_property_output_file = water97_tabulated_modified.csv
    # Comment out the fp parameter and uncomment below to use the newly generated tabulation
    # fluid_property_file = water97_tabulated_modified.csv
  []
[]

[Materials]
  [porosity_aq]
    type = PorousFlowPorosityConst
    porosity = ${aq_porosity}
    block = aquifer
  []
  [porosity_caps]
    type = PorousFlowPorosityConst
    porosity = ${cap_porosity}
    block = caps
  []

  [permeability_aquifer]
    type = PorousFlowPermeabilityConst
    block = aquifer
    permeability = '${aq_hor_perm} 0 0   0 ${aq_ver_perm} 0   0 0 0'
  []
  [permeability_caps]
    type = PorousFlowPermeabilityConst
    block = caps
    permeability = '${cap_hor_perm} 0 0   0 ${cap_ver_perm} 0   0 0 0'
  []

  [aq_internal_energy]
    type = PorousFlowMatrixInternalEnergy
    block = aquifer
    density = ${aq_density}
    specific_heat_capacity = ${aq_specific_heat_cap}
  []
  [caps_internal_energy]
    type = PorousFlowMatrixInternalEnergy
    block = caps
    density = ${cap_density}
    specific_heat_capacity = ${cap_specific_heat_cap}
  []

  [aq_thermal_conductivity]
    type = PorousFlowThermalConductivityIdeal
    block = aquifer
    dry_thermal_conductivity = '${aq_hor_dry_thermal_cond} 0 0  0 ${aq_ver_dry_thermal_cond} 0  0 0 0'
    wet_thermal_conductivity = '${aq_hor_wet_thermal_cond} 0 0  0 ${aq_ver_wet_thermal_cond} 0  0 0 0'
  []
  [caps_thermal_conductivity]
    type = PorousFlowThermalConductivityIdeal
    block = caps
    dry_thermal_conductivity = '${cap_hor_dry_thermal_cond} 0 0  0 ${cap_ver_dry_thermal_cond} 0  0 0 0'
    wet_thermal_conductivity = '${cap_hor_wet_thermal_cond} 0 0  0 ${cap_ver_wet_thermal_cond} 0  0 0 0'
  []
[]

[Postprocessors]
  [true_screen_area] # this accounts for meshes that do not match screen_top and screen_bottom exactly
    type = AreaPostprocessor
    boundary = injection_area
    execute_on = 'initial'
    outputs = 'none'
  []
  [dt]
    type = TimestepSize
  []

  [heat_out_fromBC]
    type = NodalSum
    variable = heat_flux_out
    boundary = injection_area
    execute_on = 'initial timestep_end'
    outputs = 'none'
  []
  [heat_out_per_timestep]
    type = FunctionValuePostprocessor
    function = heat_out_in_timestep
    execute_on = 'timestep_end'
    outputs = 'none'
  []
  [heat_out_cumulative]
    type = CumulativeValuePostprocessor
    postprocessor = heat_out_per_timestep
    execute_on = 'timestep_end'
    outputs = 'csv console'
  []
  [produced_T]
    type = SideAverageValue
    boundary = injection_area
    variable = temperature
    execute_on = 'initial timestep_end'
    outputs = 'csv console'
  []
  [produced_T_time_integrated]
    type = FunctionValuePostprocessor
    function = produced_T_time_integrated
    execute_on = 'timestep_end'
    outputs = 'none'
  []
  [produced_T_cumulative]
    type = CumulativeValuePostprocessor
    postprocessor = produced_T_time_integrated
    execute_on = 'timestep_end'
    outputs = 'csv console'
  []
[]

[Preconditioning]
  [basic]
    type = SMP
    full = true
    petsc_options = '-ksp_diagonal_scale -ksp_diagonal_scale_fix'
    petsc_options_iname = '-pc_type -sub_pc_type -sub_pc_factor_shift_type -pc_asm_overlap'
    petsc_options_value = ' asm      lu           NONZERO                   2'
  []
[]

[Executioner]
  type = Transient
  solve_type = Newton
  end_time = ${end_simulation}
  timestep_tolerance = 1e-5

  [TimeStepper]
    type = IterationAdaptiveDT
    dt = 1e-3
    growth_factor = 2
  []

  dtmax = 1
  dtmin = 1e-5
  # rough calc for fluid, |R| ~ V*k*1E6 ~ V*1E-5
  # rough calc for heat, |R| ~ V*(lam*1E-3 + h*1E-5)  ~ V*(1E3 + 1E-2)
  # so scale heat by 1E-7 and go for nl_abs_tol = 1E-4, which should give a max error of
  # ~1Pa and ~0.1K in the first metre around the borehole
  nl_abs_tol = 1E-4
  nl_rel_tol = 1E-5
[]

[Outputs]
  sync_times = ${synctimes}
  [ex]
    type = Exodus
    time_step_interval = 20
  []
  [csv]
    type = CSV
    execute_postprocessors_on = 'initial timestep_end'
  []
[]

(test/tests/time_integrators/crank-nicolson/cranic_adapt.i)

[Mesh]
  type = GeneratedMesh
  dim = 2
  xmin = 0
  xmax = 1
  ymin = 0
  ymax = 1
  nx = 4
  ny = 4
  elem_type = QUAD4
[]

[Variables]
  [./u]
    order = FIRST
    family = LAGRANGE
  [../]
[]

[Functions]
  [./forcing_fn]
    type = ParsedFunction
    # dudt = 3*t^2*(x^2 + y^2)
    expression = sin(pi*x)*sin(pi*y)+2*t*pi*pi*sin(pi*x)*sin(pi*y)
  [../]

  [./exact_fn]
    type = ParsedFunction
    expression = t*sin(pi*x)*sin(pi*y)
  [../]
[]

[Kernels]
  active = 'diff ie ffn'

  [./ie]
    type = TimeDerivative
    variable = u
  [../]

  [./diff]
    type = Diffusion
    variable = u
  [../]

  [./ffn]
    type = BodyForce
    variable = u
    function = forcing_fn
  [../]
[]

[BCs]
  [./all]
    type = FunctionDirichletBC
    variable = u
    boundary = '0 1 2 3'
    function = exact_fn
  [../]
[]

[Postprocessors]
  [./l2_err]
    type = ElementL2Error
    variable = u
    function = exact_fn
  [../]
[]

[Executioner]
  type = Transient

  # Use the block format instead of the scheme parameter
  [./TimeIntegrator]
    type = CrankNicolson
  [../]

  solve_type = 'PJFNK'

  start_time = 0.0
  num_steps = 5
  dt = 0.1

  [./Adaptivity]
    refine_fraction = 0.2
    coarsen_fraction = 0.3
    max_h_level = 4
  [../]
[]

[Outputs]
  execute_on = 'timestep_end'
  exodus = true
[]

(modules/contact/test/tests/mortar_aux_kernels/block-dynamics-aux-wear-vel.i)

starting_point = 0.5e-1
offset = -0.05

[GlobalParams]
  displacements = 'disp_x disp_y'
[]

[Mesh]
  file = long-bottom-block-1elem-blocks.e
[]

[Variables]
  [disp_x]
    block = '1 2'
  []
  [disp_y]
    block = '1 2'
  []
  [normal_lm]
    block = 3
    use_dual = true
    scaling = 1.0e3
  []
  [frictional_lm]
    block = 3
    use_dual = true
  []
[]

[ICs]
  [disp_y]
    block = 2
    variable = disp_y
    value = '${fparse starting_point + offset}'
    type = ConstantIC
  []
[]

[Kernels]
  [DynamicTensorMechanics]
    displacements = 'disp_x disp_y'
    generate_output = 'stress_xx stress_yy'
    strain = FINITE
    block = '1 2'
    stiffness_damping_coefficient = 1.0
    hht_alpha = 0.0
  []
  [inertia_x]
    type = InertialForce
    variable = disp_x
    velocity = vel_x
    acceleration = accel_x
    beta = 0.25
    gamma = 0.5
    alpha = 0
    eta = 0.0
    block = '1 2'
  []
  [inertia_y]
    type = InertialForce
    variable = disp_y
    velocity = vel_y
    acceleration = accel_y
    beta = 0.25
    gamma = 0.5
    alpha = 0
    eta = 0.0
    block = '1 2'
  []
[]

[Materials]
  [elasticity_2]
    type = ComputeIsotropicElasticityTensor
    block = '2'
    youngs_modulus = 1e6
    poissons_ratio = 0.3
  []
  [elasticity_1]
    type = ComputeIsotropicElasticityTensor
    block = '1'
    youngs_modulus = 1e8
    poissons_ratio = 0.3
  []
  [stress]
    type = ComputeFiniteStrainElasticStress
    block = '1 2'
  []
  [strain]
    type = ComputeFiniteStrain
    block = '1 2'
  []
  [density]
    type = GenericConstantMaterial
    block = '1 2'
    prop_names = 'density'
    prop_values = '7750'
  []
[]

[AuxVariables]
  [worn_depth]
    block = '3'
  []
  [gap_vel]
    block = '3'
  []
  [vel_x]
    block = '1 2'
  []
  [accel_x]
    block = '1 2'
  []
  [vel_y]
    block = '1 2'
  []
  [accel_y]
    block = '1 2'
  []
  [vel_z]
    block = '1 2'
  []
  [accel_z]
    block = '1 2'
  []
[]

[AuxKernels]
  [gap_vel]
    type = WeightedGapVelAux
    variable = gap_vel
    primary_boundary = 20
    secondary_boundary = 10
    primary_subdomain = 4
    secondary_subdomain = 3
    disp_x = disp_x
    disp_y = disp_y
  []
  [worn_depth]
    type = MortarArchardsLawAux
    variable = worn_depth
    primary_boundary = 20
    secondary_boundary = 10
    primary_subdomain = 4
    secondary_subdomain = 3
    displacements = 'disp_x disp_y'
    friction_coefficient = 0.5
    energy_wear_coefficient = 1.0
    normal_pressure = normal_lm
  []
  [accel_x]
    type = NewmarkAccelAux
    variable = accel_x
    displacement = disp_x
    velocity = vel_x
    beta = 0.25
    execute_on = 'linear timestep_end'
  []
  [vel_x]
    type = NewmarkVelAux
    variable = vel_x
    acceleration = accel_x
    gamma = 0.5
    execute_on = 'linear timestep_end'
  []
  [accel_y]
    type = NewmarkAccelAux
    variable = accel_y
    displacement = disp_y
    velocity = vel_y
    beta = 0.25
    execute_on = 'linear timestep_end'
  []
  [vel_y]
    type = NewmarkVelAux
    variable = vel_y
    acceleration = accel_y
    gamma = 0.5
    execute_on = 'linear timestep_end'
  []
[]

[UserObjects]
  [weighted_vel_uo]
    type = LMWeightedVelocitiesUserObject
    primary_boundary = 20
    secondary_boundary = 10
    primary_subdomain = 4
    secondary_subdomain = 3
    secondary_variable = disp_x
    lm_variable_normal = normal_lm
    lm_variable_tangential_one = frictional_lm
    disp_x = disp_x
    disp_y = disp_y
  []
[]

[Constraints]
  [weighted_gap_lm]
    type = ComputeDynamicFrictionalForceLMMechanicalContact
    primary_boundary = 20
    secondary_boundary = 10
    primary_subdomain = 4
    secondary_subdomain = 3
    variable = normal_lm
    disp_x = disp_x
    disp_y = disp_y
    use_displaced_mesh = true
    c = 1e4
    c_t = 1e6
    mu = 0.15
    friction_lm = frictional_lm
    capture_tolerance = 1.0e-5
    newmark_beta = 0.25
    newmark_gamma = 0.5
  []
  [normal_x]
    type = NormalMortarMechanicalContact
    primary_boundary = 20
    secondary_boundary = 10
    primary_subdomain = 4
    secondary_subdomain = 3
    variable = normal_lm
    secondary_variable = disp_x
    component = x
    use_displaced_mesh = true
    compute_lm_residuals = false
    weighted_gap_uo = weighted_vel_uo
  []
  [normal_y]
    type = NormalMortarMechanicalContact
    primary_boundary = 20
    secondary_boundary = 10
    primary_subdomain = 4
    secondary_subdomain = 3
    variable = normal_lm
    secondary_variable = disp_y
    component = y
    use_displaced_mesh = true
    compute_lm_residuals = false
    weighted_gap_uo = weighted_vel_uo
  []
  [tangential_x]
    type = TangentialMortarMechanicalContact
    primary_boundary = 20
    secondary_boundary = 10
    primary_subdomain = 4
    secondary_subdomain = 3
    variable = frictional_lm
    secondary_variable = disp_x
    component = x
    use_displaced_mesh = true
    compute_lm_residuals = false
    weighted_velocities_uo = weighted_vel_uo
  []
  [tangential_y]
    type = TangentialMortarMechanicalContact
    primary_boundary = 20
    secondary_boundary = 10
    primary_subdomain = 4
    secondary_subdomain = 3
    variable = frictional_lm
    secondary_variable = disp_y
    component = y
    use_displaced_mesh = true
    compute_lm_residuals = false
    weighted_velocities_uo = weighted_vel_uo
  []
[]

[BCs]
  [botx]
    type = DirichletBC
    variable = disp_x
    boundary = 40
    value = 0.0
  []
  [boty]
    type = DirichletBC
    variable = disp_y
    boundary = 40
    value = 0.0
  []
  [topy]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 30
    function = '${starting_point} * cos(16.0 * pi / 4 * t) + ${offset}'
  []
  [leftx]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 50
    function = '1e-2 * t'
  []
[]

[Executioner]
  type = Transient
  end_time = 0.3
  dt = 0.03
  dtmin = .002
  solve_type = 'NEWTON'
  petsc_options = '-snes_converged_reason -ksp_converged_reason -pc_svd_monitor '
                  '-snes_linesearch_monitor -snes_ksp_ew'
  petsc_options_iname = '-pc_type -pc_factor_mat_solver_type -pc_factor_shift_type -pc_factor_shift_amount'
  petsc_options_value = 'lu       superlu_dist                  NONZERO               1e-15'
  nl_max_its = 40
  nl_abs_tol = 1.0e-11
  nl_rel_tol = 1.0e-11
  line_search = 'none'
  snesmf_reuse_base = true

  [TimeIntegrator]
    type = NewmarkBeta
    beta = 0.25
    gamma = 0.5
  []
[]

[Debug]
  show_var_residual_norms = true
[]

[Outputs]
  exodus = true
  checkpoint = true
[]

[Preconditioning]
  [smp]
    type = SMP
    full = true
  []
[]

[Postprocessors]
  active = 'contact'
  [num_nl]
    type = NumNonlinearIterations
  []
  [cumulative]
    type = CumulativeValuePostprocessor
    postprocessor = num_nl
  []
  [contact]
    type = ContactDOFSetSize
    variable = normal_lm
    subdomain = '3'
    execute_on = 'nonlinear timestep_end'
  []
[]

(test/tests/multiapps/restart_multilevel/sub.i)

[Mesh]
  type = GeneratedMesh
  dim = 1
  xmin = 0
  xmax = 1
  nx = 10
[]

[Functions]
  [u_fn]
    type = ParsedFunction
    expression = t*x
  []
  [ffn]
    type = ParsedFunction
    expression = x
  []
[]

[Variables]
  [u]
  []
[]

[AuxVariables]
  [v]
  []
[]

[Kernels]
  [diff]
    type = Diffusion
    variable = u
  []
  [td]
    type = TimeDerivative
    variable = u
  []
  [fn]
    type = BodyForce
    variable = u
    function = ffn
  []
[]

[BCs]
  [left]
    type = DirichletBC
    variable = u
    boundary = left
    value = 0
  []
  [right]
    type = FunctionDirichletBC
    variable = u
    boundary = right
    function = u_fn
  []
[]

[Executioner]
  type = Transient
  num_steps = 5
  dt = 0.1
  solve_type = 'PJFNK'
[]

[Outputs]
  exodus = true
[]

[MultiApps]
  [sub_app]
    app_type = MooseTestApp
    type = TransientMultiApp
    input_files = 'subsub.i'
    execute_on = timestep_end
    positions = '0 -1 0'
  []
[]

[Transfers]
  [from_sub]
    type = MultiAppGeneralFieldNearestLocationTransfer
    from_multi_app = sub_app
    source_variable = u
    variable = v
  []
[]

(modules/solid_mechanics/test/tests/j2_plasticity/small_deform2.i)

# UserObject J2 test
# apply uniform stretch in z direction to give
# trial stress_zz = 7, so sqrt(3*J2) = 7
# with zero Poisson's ratio, this should return to
# stress_zz = 3, stress_xx = 2 = stress_yy
# (note that stress_zz - stress_xx = stress_zz - stress_yy = 1, so sqrt(3*j2) = 1,
#  and that the mean stress remains = 7/3)

[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]


[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
[]

[Kernels]
  [SolidMechanics]
    displacements = 'disp_x disp_y disp_z'
  [../]
[]


[BCs]
  [./x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'front back'
    function = '0E-6*x'
  [../]
  [./y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'front back'
    function = '0E-6*y'
  [../]
  [./z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'front back'
    function = '3.5E-6*z'
  [../]
[]

[AuxVariables]
  [./stress_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./iter]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]

[AuxKernels]
  [./stress_xx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xx
    index_i = 0
    index_j = 0
  [../]
  [./stress_xy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xy
    index_i = 0
    index_j = 1
  [../]
  [./stress_xz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xz
    index_i = 0
    index_j = 2
  [../]
  [./stress_yy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yy
    index_i = 1
    index_j = 1
  [../]
  [./stress_yz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yz
    index_i = 1
    index_j = 2
  [../]
  [./stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zz
    index_i = 2
    index_j = 2
  [../]
  [./f]
    type = MaterialStdVectorAux
    index = 0
    property = plastic_yield_function
    variable = f
  [../]
  [./iter]
    type = MaterialRealAux
    property = plastic_NR_iterations
    variable = iter
  [../]
[]

[Postprocessors]
  [./s_xx]
    type = PointValue
    point = '0 0 0'
    variable = stress_xx
  [../]
  [./s_xy]
    type = PointValue
    point = '0 0 0'
    variable = stress_xy
  [../]
  [./s_xz]
    type = PointValue
    point = '0 0 0'
    variable = stress_xz
  [../]
  [./s_yy]
    type = PointValue
    point = '0 0 0'
    variable = stress_yy
  [../]
  [./s_yz]
    type = PointValue
    point = '0 0 0'
    variable = stress_yz
  [../]
  [./s_zz]
    type = PointValue
    point = '0 0 0'
    variable = stress_zz
  [../]
  [./f]
    type = PointValue
    point = '0 0 0'
    variable = f
  [../]
  [./iter]
    type = PointValue
    point = '0 0 0'
    variable = iter
  [../]
[]

[UserObjects]
  [./str]
    type = SolidMechanicsHardeningConstant
    value = 1
  [../]
  [./j2]
    type = SolidMechanicsPlasticJ2
    yield_strength = str
    yield_function_tolerance = 1E-3
    internal_constraint_tolerance = 1E-9
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    block = 0
    fill_method = symmetric_isotropic
    C_ijkl = '0 1E6'
  [../]
  [./strain]
    type = ComputeFiniteStrain
    block = 0
    displacements = 'disp_x disp_y disp_z'
  [../]
  [./mc]
    type = ComputeMultiPlasticityStress
    block = 0
    ep_plastic_tolerance = 1E-9
    plastic_models = j2
    debug_fspb = crash
  [../]
[]


[Executioner]
  end_time = 1
  dt = 1
  type = Transient
[]


[Outputs]
  file_base = small_deform2
  exodus = false
  [./csv]
    type = CSV
    [../]
[]

(modules/xfem/test/tests/init_solution_propagation/init_solution_propagation.i)

# The purpose of this test is to verify that the procedures for initializing
# the solution on nodes/elements affected by XFEM works correctly in both
# serial and parallel.

# The crack cuts near to domain boundaries in parallel, and the displacement
# solution will be wrong in parallel if this is not done correctly.  This
# test also has multiple aux variables of various types that are only computed
# on initialization, and which will be wrong if the XFEM initializtion
# is not done correctly.

[GlobalParams]
  order = FIRST
  family = LAGRANGE
  displacements = 'disp_x disp_y'
  volumetric_locking_correction = true
[]

[XFEM]
  output_cut_plane = true
[]

[Mesh]
  type = GeneratedMesh
  dim = 2
  nx = 7
  ny = 7
  xmin = 0.0
  xmax = 25.0
  ymin = -12.5
  ymax = 12.5
  elem_type = QUAD4
[]

[UserObjects]
  [./line_seg_cut_set_uo]
    type = LineSegmentCutSetUserObject
    cut_data ='0.0000e+000  0.0000e+000  5.5000e+000  0.0000e+000  0.0   0.0
               5.5000e+000  0.0000e+000  2.5500e+001  0.0000e+000  0.05  1.05'
  [../]
[]

[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
[]

[AuxVariables]
  [./const_monomial]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./first_monomial]
    order = FIRST
    family = MONOMIAL
  [../]
  [./first_linear]
    order = FIRST
    family = LAGRANGE
  [../]
[]

[Physics/SolidMechanics/QuasiStatic]
  [./all]
    strain = FINITE
    add_variables = true
    planar_formulation = PLANE_STRAIN
  [../]
[]

[AuxKernels]
  [./const_monomial]
    type = FunctionAux
    function = 'dummy'
    variable = const_monomial
    execute_on = 'initial'
  [../]
  [./first_monomial]
    type = FunctionAux
    function = 'dummy'
    variable = first_monomial
    execute_on = 'initial'
  [../]
  [./first_linear]
    type = FunctionAux
    function = 'dummy'
    variable = first_linear
    execute_on = 'initial'
  [../]
[]

[Functions]
  [./dummy]
    type = ParsedFunction
    expression = 'x*x+y*y'
  [../]
  [./disp_top_y]
    type = PiecewiseLinear
    x = '0 1'
    y = '0 0.1'
  [../]
[]

[BCs]
  [./top_y]
    type = FunctionDirichletBC
    boundary = 2
    variable = disp_y
    function = disp_top_y
  [../]

  [./bottom_y]
    type = DirichletBC
    boundary = 0
    variable = disp_y
    value = 0.0
  [../]

  [./right_x]
    type = DirichletBC
    boundary = 1
    variable = disp_x
    value = 0.0
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeIsotropicElasticityTensor
    youngs_modulus = 1e6
    poissons_ratio = 0.3
  [../]
  [./stress]
    type = ComputeFiniteStrainElasticStress
  [../]
[]

[Executioner]
  type = Transient

  solve_type = 'PJFNK'
  petsc_options_iname = '-ksp_gmres_restart -pc_type -pc_hypre_type -pc_hypre_boomeramg_max_iter'
  petsc_options_value = '201                hypre    boomeramg      8'

  petsc_options = '-snes_ksp_ew'

  l_max_its = 100
  nl_max_its = 25
  nl_rel_tol = 1e-6
  nl_abs_tol = 1e-8

  start_time = 0.0
  dt = 0.1
  end_time = 1.0
  max_xfem_update = 1
[]


[Outputs]
  exodus = true
  [./console]
    type = Console
    output_linear = true
  [../]
[]

(tutorials/darcy_thermo_mech/step07_adaptivity/problems/step7a_coarse.i)

[Mesh]
  [gmg]
    type = GeneratedMeshGenerator
    dim = 2
    nx = 30
    ny = 3
    xmax = 0.304 # Length of test chamber
    ymax = 0.0257 # Test chamber radius
  []
  coord_type = RZ
  rz_coord_axis = X
[]

[Variables]
  [pressure]
  []
  [temperature]
    initial_condition = 300 # Start at room temperature
  []
[]

[Kernels]
  [darcy_pressure]
    type = DarcyPressure
    variable = pressure
  []
  [heat_conduction]
    type = ADHeatConduction
    variable = temperature
  []
  [heat_conduction_time_derivative]
    type = ADHeatConductionTimeDerivative
    variable = temperature
  []
  [heat_convection]
    type = DarcyAdvection
    variable = temperature
    pressure = pressure
  []
[]

[BCs]
  [inlet_temperature]
    type = FunctionDirichletBC
    variable = temperature
    boundary = left
    function = 'if(t<0,350+50*t,350)'
  []
  [outlet_temperature]
    type = HeatConductionOutflow
    variable = temperature
    boundary = right
  []
  [inlet]
    type = DirichletBC
    variable = pressure
    boundary = left
    value = 4000 # (Pa) From Figure 2 from paper.  First data point for 1mm spheres.
  []
  [outlet]
    type = DirichletBC
    variable = pressure
    boundary = right
    value = 0 # (Pa) Gives the correct pressure drop from Figure 2 for 1mm spheres
  []
[]

[Materials/column]
  type = PackedColumn
  temperature = temperature
  radius = 1
[]

[AuxVariables/velocity]
  order = CONSTANT
  family = MONOMIAL_VEC
[]

[AuxKernels/velocity]
  type = DarcyVelocity
  variable = velocity
  execute_on = timestep_end
  pressure = pressure
[]

[Problem]
  type = FEProblem
[]

[Executioner]
  type = Transient
  end_time = 100
  dt = 0.25
  start_time = -1

  solve_type = NEWTON
  petsc_options_iname = '-pc_type -pc_hypre_type'
  petsc_options_value = 'hypre boomeramg'

  automatic_scaling = true
  steady_state_tolerance = 1e-5
  steady_state_detection = true

  [TimeStepper]
    type = FunctionDT
    function = 'if(t<0,0.1,0.25)'
  []
[]

[Outputs]
  exodus = true
[]

(modules/solid_mechanics/test/tests/lagrangian/centrosymmetric_spherical/total/jacobian/neumann.i)

[GlobalParams]
  displacements = 'disp_r'
  large_kinematics = true
  stabilize_strain = true
[]

[Mesh]
  [gmg]
    type = GeneratedMeshGenerator
    dim = 1
    nx = 5
  []
[]

[Problem]
  coord_type = RSPHERICAL
[]

[Variables]
  [disp_r]
  []
[]

[Kernels]
  [sdr]
    type = TotalLagrangianStressDivergenceCentrosymmetricSpherical
    variable = disp_r
    component = 0
  []
[]

[BCs]
  [top]
    type = FunctionDirichletBC
    preset = false
    variable = disp_r
    boundary = right
    function = 't'
  []
[]

[Materials]
  [elastic_tensor]
    type = ComputeIsotropicElasticityTensor
    youngs_modulus = 1000.0
    poissons_ratio = 0.25
  []
  [compute_stress]
    type = ComputeLagrangianLinearElasticStress
  []
  [compute_strain]
    type = ComputeLagrangianStrainCentrosymmetricSpherical
  []
[]

[Executioner]
  type = Transient

  solve_type = NEWTON

  petsc_options_iname = '-pc_type'
  petsc_options_value = 'lu'
  automatic_scaling = true

  nl_abs_tol = 1e-10
  nl_rel_tol = 1e-10

  dt = 0.1
  num_steps = 5
[]

(modules/porous_flow/test/tests/hysteresis/hys_pc_02.i)

# Capillary-pressure calculation.  Primary drying curve with low_extension_type = quadratic
# When comparing the results with a by-hand computation, remember the MOOSE results are averaged over an element
[Mesh]
  [mesh]
    type = GeneratedMeshGenerator
    dim = 1
    xmin = 0
    xmax = 1
    nx = 100
  []
[]

[GlobalParams]
  PorousFlowDictator = dictator
[]

[UserObjects]
  [dictator]
    type = PorousFlowDictator
    number_fluid_phases = 1
    number_fluid_components = 1
    porous_flow_vars = ''
  []
[]

[Variables]
  [sat]
  []
[]

[ICs]
  [sat]
    type = FunctionIC
    variable = sat
    function = 'x'
  []
[]

[BCs]
  [sat]
    type = FunctionDirichletBC
    variable = sat
    function = 'x'
    boundary = 'left right'
  []
[]


[Kernels]
  [dummy]
    type = Diffusion
    variable = sat
  []
[]

[Materials]
  [hys_order]
    type = PorousFlowHysteresisOrder
  []
  [pc_calculator]
    type = PorousFlowHystereticInfo
    alpha_d = 10.0
    alpha_w = 10.0
    n_d = 1.5
    n_w = 1.9
    S_l_min = 0.1
    S_lr = 0.2
    S_gr_max = 0.3
    Pc_max = 12.0
    low_extension_type = quadratic
    sat_var = sat
  []
[]

[AuxVariables]
  [hys_order]
    family = MONOMIAL
    order = CONSTANT
  []
  [pc]
    family = MONOMIAL
    order = CONSTANT
  []
[]

[AuxKernels]
  [hys_order]
    type = PorousFlowPropertyAux
    variable = hys_order
    property = hysteresis_order
  []
  [pc]
    type = PorousFlowPropertyAux
    variable = pc
    property = hysteretic_info
  []
[]

[VectorPostprocessors]
  [pc]
    type = LineValueSampler
    warn_discontinuous_face_values = false
    start_point = '0 0 0'
    end_point = '1 0 0'
    num_points = 10
    sort_by = x
    variable = 'sat pc'
  []
[]

[Executioner]
  type = Transient
  solve_type = Linear
  dt = 1
  end_time = 1
[]

[Outputs]
  csv = true
[]

(test/tests/time_integrators/explicit-euler/ee-1d-quadratic.i)

[Mesh]
  type = GeneratedMesh
  dim = 1
  xmin = -1
  xmax = 1
  nx = 20
  elem_type = EDGE3
[]

[Functions]
  [./ic]
    type = ParsedFunction
    expression = 0
  [../]

  [./forcing_fn]
    type = ParsedFunction
    expression = x*x-2*t
  [../]

  [./exact_fn]
    type = ParsedFunction
    expression = t*x*x
  [../]
[]

[Variables]
  [./u]
    order = SECOND
    family = LAGRANGE

    [./InitialCondition]
      type = FunctionIC
      function = ic
    [../]
  [../]
[]

[Kernels]
  [./ie]
    type = TimeDerivative
    variable = u
#    lumping = true
    implicit = true
  [../]

  [./diff]
    type = Diffusion
    variable = u
    implicit = false
  [../]

  [./ffn]
    type = BodyForce
    variable = u
    function = forcing_fn
    implicit = false
  [../]
[]

[BCs]
  active = 'all'

  [./all]
    type = FunctionDirichletBC
    variable = u
    boundary = '0 1'
    function = exact_fn
    implicit = true
  [../]
[]

[Postprocessors]
  [./l2_err]
    type = ElementL2Error
    variable = u
    function = exact_fn
  [../]
[]

[Executioner]
  type = Transient
  scheme = 'explicit-euler'
  solve_type = 'LINEAR'

  l_tol = 1e-12
  start_time = 0.0
  num_steps = 20
  dt = 0.00005
[]

[Outputs]
  exodus = true
  [./console]
    type = Console
    max_rows = 10
  [../]
[]

(modules/contact/test/tests/bouncing-block-contact/frictional-nodal-min-normal-lm-mortar-pdass-tangential-lm-mortar-action.i)

starting_point = 2e-1

# We offset slightly so we avoid the case where the bottom of the secondary block and the top of the
# primary block are perfectly vertically aligned which can cause the backtracking line search some
# issues for a coarse mesh (basic line search handles that fine)
offset = 1e-2

[GlobalParams]
  displacements = 'disp_x disp_y'
  diffusivity = 1e0
  scaling = 1e0
[]

[Mesh]
  [original_file_mesh]
    type = FileMeshGenerator
    file = long-bottom-block-1elem-blocks-coarse.e
  []
  # These sidesets need to be deleted because the contact action adds them automatically. For this
  # particular mesh, the new IDs will be identical to the deleted ones and will conflict if we don't
  # remove the original ones.
  [delete_3]
    type = BlockDeletionGenerator
    input = original_file_mesh
    block = 3
  []
  [revised_file_mesh]
    type = BlockDeletionGenerator
    input = delete_3
    block = 4
  []
[]

[Variables]
  [disp_x]
    block = '1 2'
    # order = SECOND
  []
  [disp_y]
    block = '1 2'
    # order = SECOND
  []
[]

[Contact]
  [frictional]
    primary = 20
    secondary = 10
    formulation = mortar
    model = coulomb
    friction_coefficient = 0.1
    c_normal = 1.0e-2
    c_tangential = 1.0e-1
  []
[]

[ICs]
  [disp_y]
    block = 2
    variable = disp_y
    value = '${fparse starting_point + offset}'
    type = ConstantIC
  []
[]

[Kernels]
  [disp_x]
    type = MatDiffusion
    variable = disp_x
  []
  [disp_y]
    type = MatDiffusion
    variable = disp_y
  []
[]

[BCs]
  [botx]
    type = DirichletBC
    variable = disp_x
    boundary = 40
    value = 0.0
  []
  [boty]
    type = DirichletBC
    variable = disp_y
    boundary = 40
    value = 0.0
  []
  [topy]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 30
    function = '${starting_point} * cos(2 * pi / 40 * t) + ${offset}'
  []
  [leftx]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 50
    function = '1e-2 * t'
  []
[]

[Executioner]
  type = Transient
  end_time = 200
  dt = 5
  dtmin = .1
  solve_type = 'PJFNK'
  petsc_options = '-snes_converged_reason -ksp_converged_reason -pc_svd_monitor '
                  '-snes_linesearch_monitor -snes_ksp_ew'
  petsc_options_iname = '-pc_type -pc_factor_shift_type -pc_factor_shift_amount -mat_mffd_err'
  petsc_options_value = 'lu       NONZERO               1e-15                   1e-5'
  l_max_its = 30
  nl_max_its = 20
  line_search = 'none'
[]

[Debug]
  show_var_residual_norms = true
[]

[Outputs]
  exodus = true
  hide = 'contact_pressure nodal_area penetration'
[]

[Preconditioning]
  [smp]
    type = SMP
    full = true
  []
[]

[Postprocessors]
  [num_nl]
    type = NumNonlinearIterations
  []
  [cumulative]
    type = CumulativeValuePostprocessor
    postprocessor = num_nl
  []
  [contact]
    type = ContactDOFSetSize
    variable = frictional_normal_lm
    subdomain = frictional_secondary_subdomain
    execute_on = 'nonlinear timestep_end'
  []
[]

(modules/solid_mechanics/test/tests/transfer_from_displaced/child.i)

[GlobalParams]
  displacements = 'disp_x disp_y'
[]

[Mesh]
  [gen]
    type = GeneratedMeshGenerator
    dim = 2
    xmin = 0
    ymin = 0
    xmax = 0.2
    ymax = 0.5
    nx = 5
    ny = 15
    elem_type = QUAD4
  []
[]

[Variables]
  [disp_x][]
  [disp_y][]
[]

[AuxVariables]
  [solid_indicator]
    [AuxKernel]
      type = ConstantAux
      variable = solid_indicator
      value = 0.0
      boundary = 'left right top'
      execute_on = 'initial timestep_end'
    []
    initial_condition = 1.0
  []
[]

[Physics/SolidMechanics/QuasiStatic]
  [all]
    strain = SMALL
    incremental = true
  []
[]

[Materials]
  [elastic_tensor]
    type = ComputeIsotropicElasticityTensor
    youngs_modulus = 10000.0
    poissons_ratio = 0.3
    use_displaced_mesh = true
  []
  [stress]
    type = ComputeFiniteStrainElasticStress
  []
[]

[BCs]
  [move_bottom_x]
    type = FunctionDirichletBC
    boundary = bottom
    variable = disp_x
    function = 't'
  []
  [move_bottom_y]
    type = DirichletBC
    boundary = bottom
    variable = disp_y
    value = '0'
  []
[]

[Executioner]
  type = Transient
  num_steps = 1
  solve_type = 'NEWTON'
  petsc_options = '-snes_ksp_ew'
  petsc_options_iname = '-pc_type -pc_factor_mat_solver_type -pc_factor_shift_type'
  petsc_options_value = 'lu       superlu_dist               NONZERO'
  nl_max_its = 40
  l_max_its = 15
  line_search = 'none'
  nl_abs_tol = 1e-5
  nl_rel_tol = 1e-4
  automatic_scaling = true
[]

(modules/solid_mechanics/test/tests/crystal_plasticity/user_object_based/linesearch.i)

[Mesh]
  type = GeneratedMesh
  dim = 3
  elem_type = HEX8
  displacements = 'ux uy uz'
[]

[Variables]
  [./ux]
  [../]
  [./uy]
  [../]
  [./uz]
  [../]
[]

[AuxVariables]
  [./stress_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./fp_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./e_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./gss]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]

[Functions]
  [./tdisp]
    type = ParsedFunction
    expression = 0.01*t
  [../]
[]

[Kernels]
  [SolidMechanics]
    displacements = 'ux uy uz'
    use_displaced_mesh = true
  [../]
[]

[AuxKernels]
  [./stress_zz]
    type = RankTwoAux
    variable = stress_zz
    rank_two_tensor = stress
    index_j = 2
    index_i = 2
    execute_on = timestep_end
  [../]
  [./fp_zz]
    type = RankTwoAux
    variable = fp_zz
    rank_two_tensor = fp
    index_j = 2
    index_i = 2
    execute_on = timestep_end
  [../]
  [./e_zz]
    type = RankTwoAux
    variable = e_zz
    rank_two_tensor = lage
    index_j = 2
    index_i = 2
    execute_on = timestep_end
  [../]
  [./gss1]
    type = MaterialStdVectorAux
    variable = gss
    property = state_var_gss
    index = 0
    execute_on = timestep_end
  [../]
[]

[BCs]
  [./symmy]
    type = DirichletBC
    variable = uy
    boundary = bottom
    value = 0
  [../]
  [./symmx]
    type = DirichletBC
    variable = ux
    boundary = left
    value = 0
  [../]
  [./symmz]
    type = DirichletBC
    variable = uz
    boundary = back
    value = 0
  [../]
  [./tdisp]
    type = FunctionDirichletBC
    variable = uz
    boundary = front
    function = tdisp
  [../]
[]

[UserObjects]
  [./slip_rate_gss]
    type = CrystalPlasticitySlipRateGSS
    variable_size = 12
    slip_sys_file_name = input_slip_sys.txt
    num_slip_sys_flowrate_props = 2
    flowprops = '1 4 0.001 0.1 5 8 0.001 0.1 9 12 0.001 0.1'
    uo_state_var_name = state_var_gss
  [../]
  [./slip_resistance_gss]
    type = CrystalPlasticitySlipResistanceGSS
    variable_size = 12
    uo_state_var_name = state_var_gss
  [../]
  [./state_var_gss]
    type = CrystalPlasticityStateVariable
    variable_size = 12
    groups = '0 4 8 12'
    group_values = '60.8 60.8 60.8'
    uo_state_var_evol_rate_comp_name = state_var_evol_rate_comp_gss
    scale_factor = 1.0
  [../]
  [./state_var_evol_rate_comp_gss]
    type = CrystalPlasticityStateVarRateComponentGSS
    variable_size = 12
    hprops = '1.0 541.5 109.8 2.5'
    uo_slip_rate_name = slip_rate_gss
    uo_state_var_name = state_var_gss
  [../]
[]

[Materials]
  [./crysp]
    type = FiniteStrainUObasedCP
    stol = 1e-2
    tan_mod_type = exact
    maximum_substep_iteration = 200
    use_line_search = true
    min_line_search_step_size = 0.01
    uo_slip_rates = 'slip_rate_gss'
    uo_slip_resistances = 'slip_resistance_gss'
    uo_state_vars = 'state_var_gss'
    uo_state_var_evol_rate_comps = 'state_var_evol_rate_comp_gss'
  [../]
  [./strain]
    type = ComputeFiniteStrain
    displacements = 'ux uy uz'
  [../]
  [./elasticity_tensor]
    type = ComputeElasticityTensorCP
    C_ijkl = '1.684e5 1.214e5 1.214e5 1.684e5 1.214e5 1.684e5 0.754e5 0.754e5 0.754e5'
    fill_method = symmetric9
  [../]
[]

[Postprocessors]
  [./stress_zz]
    type = ElementAverageValue
    variable = stress_zz
  [../]
  [./fp_zz]
    type = ElementAverageValue
    variable = fp_zz
  [../]
  [./e_zz]
    type = ElementAverageValue
    variable = e_zz
  [../]
  [./gss]
    type = ElementAverageValue
    variable = gss
  [../]
[]

[Preconditioning]
  [./smp]
    type = SMP
    full = true
  [../]
[]

[Executioner]
  type = Transient
  dt = 0.05
  solve_type = 'PJFNK'

  petsc_options_iname = -pc_hypre_type
  petsc_options_value = boomerang
  nl_abs_tol = 1e-10
  nl_rel_step_tol = 1e-10
  dtmax = 10.0
  nl_rel_tol = 1e-10
  end_time = 1
  dtmin = 0.02
  num_steps = 10
  nl_abs_step_tol = 1e-10
[]

[Outputs]
  exodus = true
[]

(modules/solid_mechanics/test/tests/capped_weak_plane/push_and_shear.i)

# Dynamic problem with plasticity.
# A column of material (not subject to gravity) has the z-displacement
# of its sides fixed, but the centre of its bottom side is pushed
# upwards.  This causes failure in the bottom elements.
#
# The problem utilises damping in the following way.
# The DynamicStressDivergenceTensors forms the residual
# integral  grad(stress) + zeta*grad(stress-dot)
#     = V/L * elasticity * (du/dx + zeta * dv/dx)
# where V is the elemental volume, and L is the length-scale,
# and u is the displacement, and v is the velocity.
# The InertialForce forms the residual
# integral  density * (accel + eta * velocity)
#     = V * density * (a + eta * v)
# where a is the acceleration.
# So, a damped oscillator description with both these
# kernels looks like
# 0 = V * (density * a + density * eta * v + elasticity * zeta * v / L^2 + elasticity / L^2 * u)
# Critical damping is when the coefficient of v is
# 2 * sqrt(density * elasticity / L^2)
# In the case at hand, density=1E4, elasticity~1E10 (Young is 16GPa),
# L~1 to 10 (in the horizontal or vertical direction), so this coefficient ~ 1E7 to 1E6.
# Choosing eta = 1E3 and zeta = 1E-2 gives approximate critical damping.
# If zeta is high then steady-state is achieved very quickly.
#
# In the case of plasticity, the effective stiffness of the elements
# is significantly less.  Therefore, the above parameters give
# overdamping.
#
# This simulation is a nice example of the irreversable and non-uniqueness
# of simulations involving plasticity.  The result depends on the damping
# parameters and the time stepping.
[Mesh]
  [generated_mesh]
    type = GeneratedMeshGenerator
    dim = 3
    nx = 10
    ny = 1
    nz = 5
    bias_z = 1.5
    xmin = -10
    xmax = 10
    ymin = -10
    ymax = 10
    zmin = -100
    zmax = 0
  []
  [bottomz_middle]
    type = BoundingBoxNodeSetGenerator
    new_boundary = bottomz_middle
    bottom_left = '-1 -1500 -105'
    top_right = '1 1500 -95'
    input = generated_mesh
  []
[]

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
  beta = 0.25 # Newmark time integration
  gamma = 0.5 # Newmark time integration
  eta = 1E3 #0.3E4 # higher values mean more damping via density
[]

[Variables]
  [disp_x]
  []
  [disp_y]
  []
  [disp_z]
  []
[]

[Kernels]
  [DynamicSolidMechanics] # zeta*K*vel + K * disp
    displacements = 'disp_x disp_y disp_z'
    stiffness_damping_coefficient = 1E-2 # higher values mean more damping via stiffness
    hht_alpha = 0 # better nonlinear convergence than for alpha>0
  []
  [inertia_x] # M*accel + eta*M*vel
    type = InertialForce
    use_displaced_mesh = false
    variable = disp_x
    velocity = vel_x
    acceleration = accel_x
  []
  [inertia_y]
    type = InertialForce
    use_displaced_mesh = false
    variable = disp_y
    velocity = vel_y
    acceleration = accel_y
  []
  [inertia_z]
    type = InertialForce
    use_displaced_mesh = false
    variable = disp_z
    velocity = vel_z
    acceleration = accel_z
  []
[]

[BCs]
  [no_x2]
    type = DirichletBC
    variable = disp_x
    boundary = right
    value = 0.0
  []
  [no_x1]
    type = DirichletBC
    variable = disp_x
    boundary = left
    value = 0.0
  []
  [no_y1]
    type = DirichletBC
    variable = disp_y
    boundary = bottom
    value = 0.0
  []
  [no_y2]
    type = DirichletBC
    variable = disp_y
    boundary = top
    value = 0.0
  []

  [z_fixed_sides_xmin]
    type = DirichletBC
    variable = disp_z
    boundary = left
    value = 0
  []
  [z_fixed_sides_xmax]
    type = DirichletBC
    variable = disp_z
    boundary = right
    value = 0
  []

  [bottomz]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = bottomz_middle
    function = min(10*t,1)
  []
[]

[AuxVariables]
  [accel_x]
  []
  [vel_x]
  []
  [accel_y]
  []
  [vel_y]
  []
  [accel_z]
  []
  [vel_z]
  []
  [stress_xx]
    order = CONSTANT
    family = MONOMIAL
  []
  [stress_xy]
    order = CONSTANT
    family = MONOMIAL
  []
  [stress_xz]
    order = CONSTANT
    family = MONOMIAL
  []
  [stress_yy]
    order = CONSTANT
    family = MONOMIAL
  []
  [stress_yz]
    order = CONSTANT
    family = MONOMIAL
  []
  [stress_zz]
    order = CONSTANT
    family = MONOMIAL
  []
  [strainp_xx]
    order = CONSTANT
    family = MONOMIAL
  []
  [strainp_xy]
    order = CONSTANT
    family = MONOMIAL
  []
  [strainp_xz]
    order = CONSTANT
    family = MONOMIAL
  []
  [strainp_yy]
    order = CONSTANT
    family = MONOMIAL
  []
  [strainp_yz]
    order = CONSTANT
    family = MONOMIAL
  []
  [strainp_zz]
    order = CONSTANT
    family = MONOMIAL
  []
  [straint_xx]
    order = CONSTANT
    family = MONOMIAL
  []
  [straint_xy]
    order = CONSTANT
    family = MONOMIAL
  []
  [straint_xz]
    order = CONSTANT
    family = MONOMIAL
  []
  [straint_yy]
    order = CONSTANT
    family = MONOMIAL
  []
  [straint_yz]
    order = CONSTANT
    family = MONOMIAL
  []
  [straint_zz]
    order = CONSTANT
    family = MONOMIAL
  []
  [f_shear]
    order = CONSTANT
    family = MONOMIAL
  []
  [f_tensile]
    order = CONSTANT
    family = MONOMIAL
  []
  [f_compressive]
    order = CONSTANT
    family = MONOMIAL
  []
  [intnl_shear]
    order = CONSTANT
    family = MONOMIAL
  []
  [intnl_tensile]
    order = CONSTANT
    family = MONOMIAL
  []
  [iter]
    order = CONSTANT
    family = MONOMIAL
  []
  [ls]
    order = CONSTANT
    family = MONOMIAL
  []
[]

[AuxKernels]
  [accel_x] # Calculates and stores acceleration at the end of time step
    type = NewmarkAccelAux
    variable = accel_x
    displacement = disp_x
    velocity = vel_x
    execute_on = timestep_end
  []
  [vel_x] # Calculates and stores velocity at the end of the time step
    type = NewmarkVelAux
    variable = vel_x
    acceleration = accel_x
    execute_on = timestep_end
  []
  [accel_y]
    type = NewmarkAccelAux
    variable = accel_y
    displacement = disp_y
    velocity = vel_y
    execute_on = timestep_end
  []
  [vel_y]
    type = NewmarkVelAux
    variable = vel_y
    acceleration = accel_y
    execute_on = timestep_end
  []
  [accel_z]
    type = NewmarkAccelAux
    variable = accel_z
    displacement = disp_z
    velocity = vel_z
    execute_on = timestep_end
  []
  [vel_z]
    type = NewmarkVelAux
    variable = vel_z
    acceleration = accel_z
    execute_on = timestep_end
  []
  [stress_xx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xx
    index_i = 0
    index_j = 0
  []
  [stress_xy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xy
    index_i = 0
    index_j = 1
  []
  [stress_xz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xz
    index_i = 0
    index_j = 2
  []
  [stress_yy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yy
    index_i = 1
    index_j = 1
  []
  [stress_yz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yz
    index_i = 1
    index_j = 2
  []
  [stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zz
    index_i = 2
    index_j = 2
  []
  [strainp_xx]
    type = RankTwoAux
    rank_two_tensor = plastic_strain
    variable = strainp_xx
    index_i = 0
    index_j = 0
  []
  [strainp_xy]
    type = RankTwoAux
    rank_two_tensor = plastic_strain
    variable = strainp_xy
    index_i = 0
    index_j = 1
  []
  [strainp_xz]
    type = RankTwoAux
    rank_two_tensor = plastic_strain
    variable = strainp_xz
    index_i = 0
    index_j = 2
  []
  [strainp_yy]
    type = RankTwoAux
    rank_two_tensor = plastic_strain
    variable = strainp_yy
    index_i = 1
    index_j = 1
  []
  [strainp_yz]
    type = RankTwoAux
    rank_two_tensor = plastic_strain
    variable = strainp_yz
    index_i = 1
    index_j = 2
  []
  [strainp_zz]
    type = RankTwoAux
    rank_two_tensor = plastic_strain
    variable = strainp_zz
    index_i = 2
    index_j = 2
  []
  [straint_xx]
    type = RankTwoAux
    rank_two_tensor = total_strain
    variable = straint_xx
    index_i = 0
    index_j = 0
  []
  [straint_xy]
    type = RankTwoAux
    rank_two_tensor = total_strain
    variable = straint_xy
    index_i = 0
    index_j = 1
  []
  [straint_xz]
    type = RankTwoAux
    rank_two_tensor = total_strain
    variable = straint_xz
    index_i = 0
    index_j = 2
  []
  [straint_yy]
    type = RankTwoAux
    rank_two_tensor = total_strain
    variable = straint_yy
    index_i = 1
    index_j = 1
  []
  [straint_yz]
    type = RankTwoAux
    rank_two_tensor = total_strain
    variable = straint_yz
    index_i = 1
    index_j = 2
  []
  [straint_zz]
    type = RankTwoAux
    rank_two_tensor = total_strain
    variable = straint_zz
    index_i = 2
    index_j = 2
  []
  [f_shear]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 0
    variable = f_shear
  []
  [f_tensile]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 1
    variable = f_tensile
  []
  [f_compressive]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 2
    variable = f_compressive
  []
  [intnl_shear]
    type = MaterialStdVectorAux
    property = plastic_internal_parameter
    index = 0
    variable = intnl_shear
  []
  [intnl_tensile]
    type = MaterialStdVectorAux
    property = plastic_internal_parameter
    index = 1
    variable = intnl_tensile
  []
  [iter]
    type = MaterialRealAux
    property = plastic_NR_iterations
    variable = iter
  []
  [ls]
    type = MaterialRealAux
    property = plastic_linesearch_needed
    variable = ls
  []
[]

[UserObjects]
  [coh]
    type = SolidMechanicsHardeningConstant
    value = 1E6
  []
  [tanphi]
    type = SolidMechanicsHardeningConstant
    value = 0.5
  []
  [tanpsi]
    type = SolidMechanicsHardeningConstant
    value = 0.166666666667
  []
  [t_strength]
    type = SolidMechanicsHardeningConstant
    value = 1E80
  []
  [c_strength]
    type = SolidMechanicsHardeningConstant
    value = 0
  []
[]

[Materials]
  [elasticity_tensor]
    type = ComputeElasticityTensor
    fill_method = symmetric_isotropic
    C_ijkl = '6.4E9 6.4E9' # young 16MPa, Poisson 0.25
  []
  [strain]
    type = ComputeIncrementalStrain
  []
  [admissible]
    type = ComputeMultipleInelasticStress
    inelastic_models = stress
    perform_finite_strain_rotations = false
  []
  [stress]
    type = CappedWeakPlaneStressUpdate
    cohesion = coh
    tan_friction_angle = tanphi
    tan_dilation_angle = tanpsi
    tensile_strength = t_strength
    compressive_strength = c_strength
    tip_smoother = 0.5E6
    smoothing_tol = 0.5E6
    yield_function_tol = 1E-2
  []
  [density]
    type = GenericConstantMaterial
    block = 0
    prop_names = density
    prop_values = 1E4
  []
[]

[Preconditioning]
  [andy]
    type = SMP
    full = true
    petsc_options = '-snes_converged_reason -snes_linesearch_monitor'
    petsc_options_iname = '-pc_type -pc_asm_overlap -sub_pc_type -ksp_type -ksp_gmres_restart'
    petsc_options_value = ' asm      2              lu            gmres     200'
  []
[]

[Executioner]
  solve_type = 'NEWTON'
  petsc_options = '-snes_converged_reason'
  line_search = bt
  nl_abs_tol = 1E1
  nl_rel_tol = 1e-5
  l_tol = 1E-10

  l_max_its = 100
  nl_max_its = 100

  end_time = 0.5
  dt = 0.1
  type = Transient
[]

[Outputs]
  file_base = push_and_shear
  exodus = true
  csv = true
[]

(modules/solid_mechanics/test/tests/mean_cap_TC/small_deform2.i)

# apply uniform stretch in x, y and z directions.
# trial_stress(0, 0) = -2
# trial_stress(1, 1) = 6
# trial_stress(2, 2) = 10
# With tensile_strength = 2, the algorithm should return to trace(stress) = 2, or
# stress(0, 0) = -6
# stress(1, 1) = 2
# stress(2, 2) = 6


[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]


[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
[]

[Kernels]
  [SolidMechanics]
    displacements = 'disp_x disp_y disp_z'
  [../]
[]


[BCs]
  [./x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'front back'
    function = '-1E-7*x'
  [../]
  [./y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'front back'
    function = '3E-7*y'
  [../]
  [./z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'front back'
    function = '5E-7*z'
  [../]
[]

[AuxVariables]
  [./stress_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]

[AuxKernels]
  [./stress_xx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xx
    index_i = 0
    index_j = 0
  [../]
  [./stress_xy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xy
    index_i = 0
    index_j = 1
  [../]
  [./stress_xz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xz
    index_i = 0
    index_j = 2
  [../]
  [./stress_yy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yy
    index_i = 1
    index_j = 1
  [../]
  [./stress_yz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yz
    index_i = 1
    index_j = 2
  [../]
  [./stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zz
    index_i = 2
    index_j = 2
  [../]
  [./f]
    type = MaterialStdVectorAux
    index = 0
    property = plastic_yield_function
    variable = f
  [../]
[]

[Postprocessors]
  [./s_xx]
    type = PointValue
    point = '0 0 0'
    variable = stress_xx
  [../]
  [./s_xy]
    type = PointValue
    point = '0 0 0'
    variable = stress_xy
  [../]
  [./s_xz]
    type = PointValue
    point = '0 0 0'
    variable = stress_xz
  [../]
  [./s_yy]
    type = PointValue
    point = '0 0 0'
    variable = stress_yy
  [../]
  [./s_yz]
    type = PointValue
    point = '0 0 0'
    variable = stress_yz
  [../]
  [./s_zz]
    type = PointValue
    point = '0 0 0'
    variable = stress_zz
  [../]
  [./f]
    type = PointValue
    point = '0 0 0'
    variable = f
  [../]
[]

[UserObjects]
  [./tensile_strength]
    type = SolidMechanicsHardeningConstant
    value = 2
  [../]
  [./compressive_strength]
    type = SolidMechanicsHardeningConstant
    value = -1
  [../]
  [./cap]
    type = SolidMechanicsPlasticMeanCapTC
    tensile_strength = tensile_strength
    compressive_strength = compressive_strength
    yield_function_tolerance = 1E-3
    internal_constraint_tolerance = 1E-9
    use_custom_returnMap = true
    use_custom_cto = true
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    block = 0
    fill_method = symmetric_isotropic
    C_ijkl = '0 1E7'
  [../]
  [./strain]
    type = ComputeIncrementalStrain
    block = 0
    displacements = 'disp_x disp_y disp_z'
  [../]
  [./mean_cap]
    type = ComputeMultiPlasticityStress
    block = 0
    ep_plastic_tolerance = 1E-9
    plastic_models = cap
  [../]
[]


[Executioner]
  end_time = 1
  dt = 1
  type = Transient
[]


[Outputs]
  file_base = small_deform2
  exodus = false
  [./csv]
    type = CSV
  [../]
[]

(modules/solid_mechanics/test/tests/capped_drucker_prager/small_deform3_inner_edge.i)

# apply repeated stretches in x z directions, and smaller stretches along the y direction,
# so that sigma_I = sigma_II,
# which means that lode angle = 30deg.
# The allows yield surface in meridional plane to be mapped out

[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]

[Physics/SolidMechanics/QuasiStatic]
  [./all]
    add_variables = true
    incremental = true
    generate_output = 'stress_xx stress_xy stress_xz stress_yy stress_yz stress_zz'
  [../]
[]

[BCs]
  [./x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'front back'
    function = '1E-6*x*t'
  [../]
  [./y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'front back'
    function = '-1.7E-6*y*t'
  [../]
  [./z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'front back'
    function = '1E-6*z*t'
  [../]
[]

[AuxVariables]
  [./mc_int]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./yield_fcn]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]

[AuxKernels]
  [./mc_int_auxk]
    type = MaterialStdVectorAux
    index = 0
    property = plastic_internal_parameter
    variable = mc_int
  [../]
  [./yield_fcn_auxk]
    type = MaterialStdVectorAux
    index = 0
    property = plastic_yield_function
    variable = yield_fcn
  [../]
[]

[Postprocessors]
  [./s_xx]
    type = PointValue
    point = '0 0 0'
    variable = stress_xx
  [../]
  [./s_xy]
    type = PointValue
    point = '0 0 0'
    variable = stress_xy
  [../]
  [./s_xz]
    type = PointValue
    point = '0 0 0'
    variable = stress_xz
  [../]
  [./s_yy]
    type = PointValue
    point = '0 0 0'
    variable = stress_yy
  [../]
  [./s_yz]
    type = PointValue
    point = '0 0 0'
    variable = stress_yz
  [../]
  [./s_zz]
    type = PointValue
    point = '0 0 0'
    variable = stress_zz
  [../]
  [./internal]
    type = PointValue
    point = '0 0 0'
    variable = mc_int
  [../]
  [./f]
    type = PointValue
    point = '0 0 0'
    variable = yield_fcn
  [../]
[]

[UserObjects]
  [./ts]
    type = SolidMechanicsHardeningConstant
    value = 1E5
  [../]
  [./cs]
    type = SolidMechanicsHardeningConstant
    value = 1E5
  [../]
  [./mc_coh]
    type = SolidMechanicsHardeningConstant
    value = 10
  [../]
  [./mc_phi]
    type = SolidMechanicsHardeningConstant
    value = 35
    convert_to_radians = true
  [../]
  [./mc_psi]
    type = SolidMechanicsHardeningConstant
    value = 5
    convert_to_radians = true
  [../]
  [./dp]
    type = SolidMechanicsPlasticDruckerPrager
    mc_cohesion = mc_coh
    mc_friction_angle = mc_phi
    mc_dilation_angle = mc_psi
    mc_interpolation_scheme = inner_edge
    yield_function_tolerance = 1      # irrelevant here
    internal_constraint_tolerance = 1 # irrelevant here
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    block = 0
    fill_method = symmetric_isotropic
    C_ijkl = '0 1E7'
  [../]
  [./admissible]
    type = ComputeMultipleInelasticStress
    inelastic_models = mc
    perform_finite_strain_rotations = false
  [../]
  [./mc]
    type = CappedDruckerPragerStressUpdate
    DP_model = dp
    tensile_strength = ts
    compressive_strength = cs
    yield_function_tol = 1E-8
    tip_smoother = 8
    smoothing_tol = 1E-7
  [../]
[]


[Executioner]
  end_time = 10
  dt = 1
  type = Transient
[]


[Outputs]
  file_base = small_deform3_inner_edge
  exodus = false
  [./csv]
    type = CSV
  [../]
[]

(modules/solid_mechanics/test/tests/beam/fric_constraint/2_block_common_cross_stick.i)

# Test for LineElementAction on multiple blocks by placing parameters
# common to all blocks outside of the individual action blocks

# 2 beams of length 1m are fixed at one end and a force of 1e-4 N
# is applied at the other end of the beams. Beam 1 is in block 1
# and beam 2 is in block 2. All the material properties for the two
# beams are identical. The moment of inertia of beam 2 is twice that
# of beam 1.

# Since the end displacement of a cantilever beam is inversely proportional
# to the moment of inertia, the y displacement at the end of beam 1 should be twice
# that of beam 2.

[Mesh]
  type = FileMesh
  file = test_fric_cross.e
  #displacements = 'disp_x disp_y disp_z'
[]

[BCs]
  [./fixx1]
    type = DirichletBC
    variable = disp_x
    boundary = '1 2 3'
    value = 0.0
  [../]
  [./fixy1]
    type = DirichletBC
    variable = disp_y
    boundary = '1 2 3'
    value = 0.0
  [../]
  [./fixz1]
    type = DirichletBC
    variable = disp_z
    boundary = '1 3'
    value = 0.0
  [../]
  [./fixr1]
    type = DirichletBC
    variable = rot_x
    boundary = '1 2 3'
    value = 0.0
  [../]
  [./fixr2]
    type = DirichletBC
    variable = rot_y
    boundary = '1 2 3'
    value = 0.0
  [../]
  [./fixr3]
    type = DirichletBC
    variable = rot_z
    boundary = '1 2 3'
    value = 0.0
  [../]
  [./move_z4]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 2
    function = pull
  [../]
[]

[Functions]
  [./pull]
    type = PiecewiseLinear
    x = '0.0 1.0 2.0  3.0  4.0  5.0  6.0  7.0   8.0  9.0 10.0 11.0 12.0 13.0'
    y = '0.0 0.0 -0.2 -0.4 -0.6 -0.8 -0.6 -0.4 -0.2  0.0 0.2 0.4  0.6 0.8'
  [../]
[]

[Preconditioning]
  [./smp]
    type = SMP
    full = true
  [../]
[]

[Executioner]
  type = Transient
  solve_type = NEWTON
  line_search = 'none'
  nl_max_its = 15
  nl_rel_tol = 1e-10
  nl_abs_tol = 5e-5
  l_max_its = 10

  dt = 1
  dtmin = 1
  end_time = 13
[]

[Physics/SolidMechanics/LineElement/QuasiStatic]
  # parameters common to all blocks

  add_variables = true
  displacements = 'disp_x disp_y disp_z'
  rotations = 'rot_x rot_y rot_z'

  # Geometry parameters
  area = 0.5
  y_orientation = '0.0 1.0 0.0'

  [./block_1]
    Iy = 1e-5
    Iz = 1e-5
    block = 1
  [../]
  [./block_2]
    Iy = 8e-4
    Iz = 8e-4
    block = '2 3'
  [../]
[]

[Materials]
  [./stress]
    type = ComputeBeamResultants
    block = '1 2 3'
  [../]
  [./elasticity_1]
    type = ComputeElasticityBeam
    youngs_modulus = 2.0
    poissons_ratio = 0.3
    shear_coefficient = 1.0
    block = '1 2 3'
  [../]
[]

[Constraints]
  [./tie_z]
    type = NodalStickConstraint
    penalty = 1e8
    boundary = 6
    secondary = 4
    variable = disp_z
    formulation = kinematic
  [../]
  [./tie_z2]
    type = NodalStickConstraint
    penalty = 1e8
    boundary = 6
    secondary = 5
    variable = disp_z
    formulation = kinematic
  [../]
[]

[Postprocessors]
  [./disp_x_1]
    type = NodalVariableValue
    nodeid = 1
    variable = disp_x
  [../]
  [./disp_x_2]
    type = NodalVariableValue
    nodeid = 2
    variable = disp_x
  [../]
  [./disp_z_1]
    type = NodalVariableValue
    nodeid = 1
    variable = disp_z
  [../]
  [./disp_z_2]
    type = NodalVariableValue
    nodeid = 2
    variable = disp_z
  [../]
[]

[Outputs]
  #file_base = '2_block_out'
  exodus = true
[]

(test/tests/time_integrators/bdf2/bdf2.i)

[Mesh]
  type = GeneratedMesh
  dim = 2
  xmin = -1
  xmax = 1
  ymin = -1
  ymax = 1
  nx = 20
  ny = 20
  elem_type = QUAD9
[]

[Variables]
  active = 'u'

  [./u]
    order = SECOND
    family = LAGRANGE

    [./InitialCondition]
      type = ConstantIC
      value = 0
    [../]
  [../]
[]

[Functions]
  [./forcing_fn]
    type = ParsedFunction
    # dudt = 3*t^2*(x^2 + y^2)
    expression = 3*t*t*((x*x)+(y*y))-(4*t*t*t)
  [../]

  [./exact_fn]
    type = ParsedFunction
    expression = t*t*t*((x*x)+(y*y))
  [../]
[]

[Kernels]
  active = 'diff ie ffn'

  [./ie]
    type = TimeDerivative
    variable = u
  [../]

  [./diff]
    type = Diffusion
    variable = u
  [../]

  [./ffn]
    type = BodyForce
    variable = u
    function = forcing_fn
  [../]
[]

[BCs]
  active = 'all'

  [./all]
    type = FunctionDirichletBC
    variable = u
    boundary = '0 1 2 3'
    function = exact_fn
  [../]

  [./left]
    type = DirichletBC
    variable = u
    boundary = 3
    value = 0
  [../]

  [./right]
    type = DirichletBC
    variable = u
    boundary = 1
    value = 1
  [../]
[]

[Postprocessors]
  [./l2_err]
    type = ElementL2Error
    variable = u
    function = exact_fn
  [../]
[]

[Executioner]
  type = Transient
  scheme = 'bdf2'

  start_time = 0.0
  num_steps = 5
  dt = 0.25

#  [./Adaptivity]
#    refine_fraction = 0.2
#    coarsen_fraction = 0.3
#    max_h_level = 4
#  [../]
[]

[Outputs]
  execute_on = 'timestep_end'
  exodus = true
[]

(test/tests/time_integrators/actually_explicit_euler_verification/ee-1d-quadratic.i)

[Mesh]
  type = GeneratedMesh
  dim = 1
  xmin = -1
  xmax = 1
  nx = 20
  elem_type = EDGE3
[]

[Functions]
  [./ic]
    type = ParsedFunction
    expression = 0
  [../]

  [./forcing_fn]
    type = ParsedFunction
    expression = x*x-2*t
  [../]

  [./exact_fn]
    type = ParsedFunction
    expression = t*x*x
  [../]
[]

[Variables]
  [./u]
    order = SECOND
    family = LAGRANGE

    [./InitialCondition]
      type = FunctionIC
      function = ic
    [../]
  [../]
[]

[Kernels]
  [./ie]
    type = TimeDerivative
    variable = u
  [../]

  [./diff]
    type = Diffusion
    variable = u
  [../]

  [./ffn]
    type = BodyForce
    variable = u
    function = forcing_fn
  [../]
[]

[BCs]
  [./all]
    type = FunctionDirichletBC
    variable = u
    preset = false
    boundary = '0 1'
    function = exact_fn
  [../]
[]

[Postprocessors]
  [./l2_err]
    type = ElementL2Error
    variable = u
    function = exact_fn
  [../]
[]

[Executioner]
  type = Transient

  l_tol = 1e-12
  start_time = 0.0
  num_steps = 20
  dt = 0.00005

  [./TimeIntegrator]
    type = ActuallyExplicitEuler
  [../]
[]

[Outputs]
  exodus = true
  [./console]
    type = Console
    max_rows = 10
  [../]
[]

(modules/solid_mechanics/tutorials/basics/part_2.2.i)

#Tensor Mechanics tutorial: the basics
#Step 2, part 2
#2D axisymmetric RZ simulation of uniaxial tension with finite strain elasticity

[GlobalParams]
  displacements = 'disp_r disp_z'
[]

[Problem]
  coord_type = RZ
[]

[Mesh]
  file = necking_quad4.e
  uniform_refine = 1
  second_order = true
[]

[Physics/SolidMechanics/QuasiStatic]
  [./block1]
    strain = FINITE #change to use finite strain instead of small linearized strain class
    add_variables = true #detects the change of the mesh to second order and automatically sets the variables
    generate_output = 'stress_zz vonmises_stress'
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeIsotropicElasticityTensor
    youngs_modulus = 2.1e5
    poissons_ratio = 0.3
  [../]
  [./stress]
    type = ComputeFiniteStrainElasticStress
  [../]
[]

[BCs]
  [./left]
    type = DirichletBC
    variable = disp_r
    boundary = left
    value = 0.0
  [../]
  [./bottom]
    type = DirichletBC
    variable = disp_z
    boundary = bottom
    value = 0.0
  [../]
  [./top]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = top
    function = '0.0007*t'
  [../]
[]

[Preconditioning]
  [./SMP]
    type = SMP
    full = true
  [../]
[]

[Executioner]
  type = Transient
  end_time = 5

  solve_type = 'PJFNK'

  petsc_options = '-snes_ksp_ew'
  petsc_options_iname = '-pc_type -sub_pc_type -pc_asm_overlap -ksp_gmres_restart'
  petsc_options_value = 'asm lu 1 101'
[]

[Outputs]
  exodus = true
  perf_graph = true
[]

(modules/solid_mechanics/test/tests/elem_prop_read_user_object/prop_grain_read_3d.i)

[Mesh]
  type = GeneratedMesh
  dim = 3
  elem_type = HEX8
  displacements = 'disp_x disp_y disp_z'
  nx = 30
  ny = 30
  nz = 30
[]

[Variables]
  [./disp_x]
    block = 0
  [../]
  [./disp_y]
    block = 0
  [../]
  [./disp_z]
    block = 0
  [../]
[]

[AuxVariables]
  [./stress_yy]
    order = CONSTANT
    family = MONOMIAL
    block = 0
  [../]
  [./e_yy]
    order = CONSTANT
    family = MONOMIAL
    block = 0
  [../]
[]

[Functions]
  [./tdisp]
    type = ParsedFunction
    expression = 0.05*t
  [../]
[]

[UserObjects]
  [./prop_read]
    type = PropertyReadFile
    prop_file_name = 'input_file.txt'
    nprop = 4
    read_type = grain
    ngrain = 4
  [../]
[]

[AuxKernels]
  [./stress_yy]
    type = RankTwoAux
    variable = stress_yy
    rank_two_tensor = stress
    index_j = 1
    index_i = 1
    execute_on = timestep_end
    block = 0
  [../]
  [./e_yy]
    type = RankTwoAux
    variable = e_yy
    rank_two_tensor = elastic_strain
    index_j = 1
    index_i = 1
    execute_on = timestep_end
    block = 0
  [../]
[]

[BCs]
  [./fix_x]
    type = DirichletBC
    variable = disp_x
    boundary = 'left'
    value = 0
  [../]
  [./fix_y]
    type = DirichletBC
    variable = disp_y
    boundary = 'bottom'
    value = 0
  [../]
  [./fix_z]
    type = DirichletBC
    variable = disp_z
    boundary = 'back'
    value = 0
  [../]
  [./tdisp]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = top
    function = tdisp
  [../]
[]

[Materials]
  [./elasticity_tensor_with_Euler]
    type = ComputeElasticityTensorCP
    block = 0
    C_ijkl = '1.684e5 1.214e5 1.214e5 1.684e5 1.214e5 1.684e5 0.754e5 0.754e5 0.754e5'
    fill_method = symmetric9
    read_prop_user_object = prop_read
  [../]
  [./strain]
    type = ComputeFiniteStrain
    block = 0
    displacements = 'disp_x disp_y disp_z'
  [../]
  [./stress]
    type = ComputeFiniteStrainElasticStress
    block = 0
  [../]
[]

[Postprocessors]
  [./stress_yy]
    type = ElementAverageValue
    variable = stress_yy
    block = 'ANY_BLOCK_ID 0'
  [../]
  [./e_yy]
    type = ElementAverageValue
    variable = e_yy
    block = 'ANY_BLOCK_ID 0'
  [../]
[]

[Preconditioning]
  [./smp]
    type = SMP
    full = true
  [../]
[]

[Executioner]
  type = Transient
  dt = 0.05

  #Preconditioned JFNK (default)
  solve_type = 'PJFNK'

  petsc_options_iname = -pc_hypre_type
  petsc_options_value = boomerang
  nl_abs_tol = 1e-10
  nl_rel_step_tol = 1e-10
  dtmax = 10.0
  nl_rel_tol = 1e-10
  end_time = 1
  dtmin = 0.05
  num_steps = 2
  nl_abs_step_tol = 1e-10
[]

[Outputs]
  file_base = prop_grain_read_3d_out
  exodus = true
[]

[Kernels]
  [SolidMechanics]
    displacements = 'disp_x disp_y disp_z'
    use_displaced_mesh = true
  [../]
[]

(modules/solid_mechanics/test/tests/rate_independent_cyclic_hardening/linear_kinharden_symmetric_strain_controlled.i)

# This simulation uses the piece-wise strain hardening model
# with the Finite strain formulation.
#
# This test applies a repeated displacement loading and unloading condition on
# the top in the y direction. The material deforms elastically until the
# loading reaches the initial yield point and then plastic deformation starts.
#
# The yield surface begins to translate as stress increases, but its size
# remains the same. The backstress evolves with plastic strain to capture
# this translation. Upon unloading, the stress reverses direction, and material
# first behaves elastically. However, due to the translation of the yield surface
# the yield point in the reverse direction is lower.
#
# If the reverse load is strong enough, the material will yield in the reverse
# direction, which models the Bauschinger effect(reduction in yield stress in
# the opposite direction).
#
# This test is based on the similar response obtained for a prescribed symmetrical
# stress path in Besson, Jacques, et al. Non-linear mechanics of materials. Vol. 167.
# Springer Science & Business Media, 2009  pg. 87 fig. 3.4(b). This SolidMechanics code
# matches the SolidMechanics solution.

[Mesh]
  file = 1x1x1cube.e
[]

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]

[Functions]
  [top_pull]
    type = PiecewiseLinear
    xy_data = '0 0
    0.025 0.0025
    0.05 0.005
    0.1 0.01
    0.15 0.005
    0.2 0
    0.25 -0.005
    0.3 -0.01
    0.35 -0.005
    0.45 0
    0.5 0.005
    0.55 0.01
    0.65 0.005
    0.7 0
    0.75 -0.005
    0.8 -0.01
    0.85 -0.005
    0.9 0
    0.95 0.005
    1 0.01
    1.05 0.005
    1.1 0
    1.15 -0.005
    1.2 -0.01
    1.25 -0.005'
  []
[]

[Physics]
  [SolidMechanics]
    [QuasiStatic]
      [all]
        strain = SMALL
        incremental = true
        add_variables = true
        generate_output = 'strain_yy stress_yy plastic_strain_xx plastic_strain_yy plastic_strain_zz'
      []
    []
  []
[]

[BCs]
  [y_pull_function]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 5
    function = top_pull
  []
  [x_bot]
    type = DirichletBC
    variable = disp_x
    boundary = 4
    value = 0.0
  []
  [y_bot]
    type = DirichletBC
    variable = disp_y
    boundary = 3
    value = 0.0
  []
  [z_bot]
    type = DirichletBC
    variable = disp_z
    boundary = 2
    value = 0.0
  []
[]

[Materials]
  [elasticity_tensor]
    type = ComputeIsotropicElasticityTensor
    youngs_modulus = 2e5
    poissons_ratio = 0
  []
  [kinematic_plasticity]
    type = CombinedNonlinearHardeningPlasticity
    yield_stress = 100
    isotropic_hardening_constant = 0
    q = 0
    b = 0
    kinematic_hardening_modulus = 10000
    gamma = 0
  []
  [radial_return_stress]
    type = ComputeMultipleInelasticStress
    tangent_operator = elastic
    inelastic_models = 'kinematic_plasticity'
  []
[]

[Executioner]
  type = Transient

  solve_type = 'PJFNK'

  petsc_options = '-snes_ksp_ew'
  petsc_options_iname = '-ksp_gmres_restart'
  petsc_options_value = '101'

  line_search = 'none'

  l_max_its = 50
  nl_max_its = 50
  nl_rel_tol = 1e-12
  nl_abs_tol = 1e-10
  l_tol = 1e-9

  start_time = 0.0
  end_time = 1.25
  dt = 0.0025
  dtmin = 0.0001
[]

[Postprocessors]
  [stress_yy]
    type = ElementAverageValue
    variable = stress_yy
  []
  [strain_yy]
    type = ElementAverageValue
    variable = strain_yy
  []
[]

[Outputs]
  csv = true
[]

(modules/solid_mechanics/test/tests/capped_weak_plane/small_deform_cosserat4.i)

# Plastic deformation.  Layered Cosserat with parameters:
# Young = 10.0
# Poisson = 0.25
# layer_thickness = 10
# joint_normal_stiffness = 2.5
# joint_shear_stiffness = 2.0
# These give the following nonzero components of the elasticity tensor:
# E_0000 = E_1111 = 1.156756756757E+01
# E_0011 = E_1100 = 3.855855855856E+00
# E_2222 = E_pp = 8.108108108108E+00
# E_0022 = E_1122 = E_2200 = E_2211 = 2.702702702703E+00
# G = E_0101 = E_0110 = E_1001 = E_1010 = 4
# Gt = E_qq = E_0202 = E_0220 = E_2002 = E_1212 = E_1221 = E_2112 = 3.333333333333E+00
# E_2020 = E_2121 = 3.666666666667E+00
# They give the following nonzero components of the bending rigidity tensor:
# D = 8.888888888889E+02
# B_0101 = B_1010 = 8.080808080808E+00
# B_0110 = B_1001 = -2.020202020202E+00
#
# Applying the following deformation to the zmax surface of a unit cube:
# disp_x = 32*t/Gt
# disp_y = 24*t/Gt
# disp_z = 10*t/E_2222
# but leaving wc_x and wc_y unfixed
# yields the following strains:
# strain_xz = 32*t/Gt - wc_y = 9.6*t - wc_y
# strain_zx = wc_y
# strain_yz = 24*t/Gt + wc_x = 7.2*t + wc_x
# strain_zy = - wc_x
# strain_zz = 10*t/E_2222 = 1.23333333*t
# and all other components, and the curvature, are zero (assuming
# wc is uniform over the cube).
#
# When wc=0, the nonzero components of stress are therefore:
# stress_xx = stress_yy = 3.33333*t
# stress_xz = stress_zx = 32*t
# stress_yz = stress_zy = 24*t
# stress_zz = 10*t
# The moment stress is zero.
# So q = 40*t and p = 10*t
#
# Use tan(friction_angle) = 0.5 and tan(dilation_angle) = E_qq/Epp/2, and cohesion=20,
# the system should return to p=0, q=20, ie stress_zz=0, stress_xz=16,
# stress_yz=12 on the first time step (t=1)
# and
# stress_xx = stress_yy = 0
# and
# stress_zx = 32, and stress_zy = 24.
# This has resulted in a non-symmetric stress tensor, and there is
# zero moment stress, so the system is not in equilibrium.  A
# nonzero wc must therefore be generated.
#
# The obvious choice of wc is such that stress_zx = 16 and
# stress_zy = 12, because then the final returned stress will
# be symmetric.  This gives
# wc_y = - 48
# wc_x = 36
# At t=1, the nonzero components of stress are
# stress_xx = stress_yy = 3.33333
# stress_xz = 32, stress_zx = 16
# stress_yz = 24, stress_zy = 12
# stress_zz = 10*t
# The moment stress is zero.
#
# The returned stress is
# stress_xx = stress_yy = 0
# stress_xz = stress_zx = 16
# stress_yz = stress_zy = 12
# stress_zz = 0
# The total strains are given above.
# Since q returned from 40 to 20, plastic_strain_xz = 9.6/2 = 4.8
# and plastic_strain_yz = 7.2/2 = 3.6.
# Since p returned to zero, all of the total strain_zz is
# plastic, ie plastic_strain_zz = 1.23333
[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
  Cosserat_rotations = 'wc_x wc_y wc_z'
[]

[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
  [./wc_x]
  [../]
  [./wc_y]
  [../]
[]

[Kernels]
  [./cx_elastic]
    type = CosseratStressDivergenceTensors
    variable = disp_x
    component = 0
  [../]
  [./cy_elastic]
    type = CosseratStressDivergenceTensors
    variable = disp_y
    component = 1
  [../]
  [./cz_elastic]
    type = CosseratStressDivergenceTensors
    variable = disp_z
    component = 2
  [../]
  [./x_couple]
    type = StressDivergenceTensors
    variable = wc_x
    displacements = 'wc_x wc_y wc_z'
    component = 0
    base_name = couple
  [../]
  [./y_couple]
    type = StressDivergenceTensors
    variable = wc_y
    displacements = 'wc_x wc_y wc_z'
    component = 1
    base_name = couple
  [../]
  [./x_moment]
    type = MomentBalancing
    variable = wc_x
    component = 0
  [../]
  [./y_moment]
    type = MomentBalancing
    variable = wc_y
    component = 1
  [../]
[]

[BCs]
  [./bottomx]
    type = DirichletBC
    variable = disp_x
    boundary = back
    value = 0.0
  [../]
  [./bottomy]
    type = DirichletBC
    variable = disp_y
    boundary = back
    value = 0.0
  [../]
  [./bottomz]
    type = DirichletBC
    variable = disp_z
    boundary = back
    value = 0.0
  [../]

  [./topx]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = front
    function = 32*t/3.333333333333E+00
  [../]
  [./topy]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = front
    function = 24*t/3.333333333333E+00
  [../]
  [./topz]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = front
    function = 10*t/8.108108108108E+00
  [../]
[]

[AuxVariables]
  [./wc_z]
  [../]
  [./stress_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_zx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_zy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./couple_stress_xx]
    family = MONOMIAL
    order = CONSTANT
  [../]
  [./couple_stress_xy]
    family = MONOMIAL
    order = CONSTANT
  [../]
  [./couple_stress_xz]
    family = MONOMIAL
    order = CONSTANT
  [../]
  [./couple_stress_yx]
    family = MONOMIAL
    order = CONSTANT
  [../]
  [./couple_stress_yy]
    family = MONOMIAL
    order = CONSTANT
  [../]
  [./couple_stress_yz]
    family = MONOMIAL
    order = CONSTANT
  [../]
  [./couple_stress_zx]
    family = MONOMIAL
    order = CONSTANT
  [../]
  [./couple_stress_zy]
    family = MONOMIAL
    order = CONSTANT
  [../]
  [./couple_stress_zz]
    family = MONOMIAL
    order = CONSTANT
  [../]
  [./strainp_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./strainp_xy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./strainp_xz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./strainp_yx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./strainp_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./strainp_yz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./strainp_zx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./strainp_zy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./strainp_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./straint_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./straint_xy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./straint_xz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./straint_yx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./straint_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./straint_yz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./straint_zx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./straint_zy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./straint_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f_shear]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f_tensile]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f_compressive]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./intnl_shear]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./intnl_tensile]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./iter]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./ls]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]

[AuxKernels]
  [./stress_xx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xx
    index_i = 0
    index_j = 0
  [../]
  [./stress_xy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xy
    index_i = 0
    index_j = 1
  [../]
  [./stress_xz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xz
    index_i = 0
    index_j = 2
  [../]
  [./stress_yx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yx
    index_i = 1
    index_j = 0
  [../]
  [./stress_yy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yy
    index_i = 1
    index_j = 1
  [../]
  [./stress_yz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yz
    index_i = 1
    index_j = 2
  [../]
  [./stress_zx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zx
    index_i = 2
    index_j = 0
  [../]
  [./stress_zy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zy
    index_i = 2
    index_j = 1
  [../]
  [./stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zz
    index_i = 2
    index_j = 2
  [../]
  [./couple_stress_xx]
    type = RankTwoAux
    rank_two_tensor = couple_stress
    variable = couple_stress_xx
    index_i = 0
    index_j = 0
  [../]
  [./couple_stress_xy]
    type = RankTwoAux
    rank_two_tensor = couple_stress
    variable = couple_stress_xy
    index_i = 0
    index_j = 1
  [../]
  [./couple_stress_xz]
    type = RankTwoAux
    rank_two_tensor = couple_stress
    variable = couple_stress_xz
    index_i = 0
    index_j = 2
  [../]
  [./couple_stress_yx]
    type = RankTwoAux
    rank_two_tensor = couple_stress
    variable = couple_stress_yx
    index_i = 1
    index_j = 0
  [../]
  [./couple_stress_yy]
    type = RankTwoAux
    rank_two_tensor = couple_stress
    variable = couple_stress_yy
    index_i = 1
    index_j = 1
  [../]
  [./couple_stress_yz]
    type = RankTwoAux
    rank_two_tensor = couple_stress
    variable = couple_stress_yz
    index_i = 1
    index_j = 2
  [../]
  [./couple_stress_zx]
    type = RankTwoAux
    rank_two_tensor = couple_stress
    variable = couple_stress_zx
    index_i = 2
    index_j = 0
  [../]
  [./couple_stress_zy]
    type = RankTwoAux
    rank_two_tensor = couple_stress
    variable = couple_stress_zy
    index_i = 2
    index_j = 1
  [../]
  [./couple_stress_zz]
    type = RankTwoAux
    rank_two_tensor = couple_stress
    variable = couple_stress_zz
    index_i = 2
    index_j = 2
  [../]
  [./strainp_xx]
    type = RankTwoAux
    rank_two_tensor = plastic_strain
    variable = strainp_xx
    index_i = 0
    index_j = 0
  [../]
  [./strainp_xy]
    type = RankTwoAux
    rank_two_tensor = plastic_strain
    variable = strainp_xy
    index_i = 0
    index_j = 1
  [../]
  [./strainp_xz]
    type = RankTwoAux
    rank_two_tensor = plastic_strain
    variable = strainp_xz
    index_i = 0
    index_j = 2
  [../]
  [./strainp_yx]
    type = RankTwoAux
    rank_two_tensor = plastic_strain
    variable = strainp_yx
    index_i = 1
    index_j = 0
  [../]
  [./strainp_yy]
    type = RankTwoAux
    rank_two_tensor = plastic_strain
    variable = strainp_yy
    index_i = 1
    index_j = 1
  [../]
  [./strainp_yz]
    type = RankTwoAux
    rank_two_tensor = plastic_strain
    variable = strainp_yz
    index_i = 1
    index_j = 2
  [../]
  [./strainp_zx]
    type = RankTwoAux
    rank_two_tensor = plastic_strain
    variable = strainp_zx
    index_i = 2
    index_j = 0
  [../]
  [./strainp_zy]
    type = RankTwoAux
    rank_two_tensor = plastic_strain
    variable = strainp_zy
    index_i = 2
    index_j = 1
  [../]
  [./strainp_zz]
    type = RankTwoAux
    rank_two_tensor = plastic_strain
    variable = strainp_zz
    index_i = 2
    index_j = 2
  [../]
  [./straint_xx]
    type = RankTwoAux
    rank_two_tensor = total_strain
    variable = straint_xx
    index_i = 0
    index_j = 0
  [../]
  [./straint_xy]
    type = RankTwoAux
    rank_two_tensor = total_strain
    variable = straint_xy
    index_i = 0
    index_j = 1
  [../]
  [./straint_xz]
    type = RankTwoAux
    rank_two_tensor = total_strain
    variable = straint_xz
    index_i = 0
    index_j = 2
  [../]
  [./straint_yx]
    type = RankTwoAux
    rank_two_tensor = total_strain
    variable = straint_yx
    index_i = 1
    index_j = 0
  [../]
  [./straint_yy]
    type = RankTwoAux
    rank_two_tensor = total_strain
    variable = straint_yy
    index_i = 1
    index_j = 1
  [../]
  [./straint_yz]
    type = RankTwoAux
    rank_two_tensor = total_strain
    variable = straint_yz
    index_i = 1
    index_j = 2
  [../]
  [./straint_zx]
    type = RankTwoAux
    rank_two_tensor = total_strain
    variable = straint_zx
    index_i = 2
    index_j = 0
  [../]
  [./straint_zy]
    type = RankTwoAux
    rank_two_tensor = total_strain
    variable = straint_zy
    index_i = 2
    index_j = 1
  [../]
  [./straint_zz]
    type = RankTwoAux
    rank_two_tensor = total_strain
    variable = straint_zz
    index_i = 2
    index_j = 2
  [../]
  [./f_shear]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 0
    variable = f_shear
  [../]
  [./f_tensile]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 1
    variable = f_tensile
  [../]
  [./f_compressive]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 2
    variable = f_compressive
  [../]
  [./intnl_shear]
    type = MaterialStdVectorAux
    property = plastic_internal_parameter
    index = 0
    variable = intnl_shear
  [../]
  [./intnl_tensile]
    type = MaterialStdVectorAux
    property = plastic_internal_parameter
    index = 1
    variable = intnl_tensile
  [../]
  [./iter]
    type = MaterialRealAux
    property = plastic_NR_iterations
    variable = iter
  [../]
  [./ls]
    type = MaterialRealAux
    property = plastic_linesearch_needed
    variable = ls
  [../]
[]

[Postprocessors]
  [./wc_x]
    type = PointValue
    point = '0 0 0'
    variable = wc_x
  [../]
  [./wc_y]
    type = PointValue
    point = '0 0 0'
    variable = wc_y
  [../]
  [./s_xx]
    type = PointValue
    point = '0 0 0'
    variable = stress_xx
  [../]
  [./s_xy]
    type = PointValue
    point = '0 0 0'
    variable = stress_xy
  [../]
  [./s_xz]
    type = PointValue
    point = '0 0 0'
    variable = stress_xz
  [../]
  [./s_yx]
    type = PointValue
    point = '0 0 0'
    variable = stress_yx
  [../]
  [./s_yy]
    type = PointValue
    point = '0 0 0'
    variable = stress_yy
  [../]
  [./s_yz]
    type = PointValue
    point = '0 0 0'
    variable = stress_yz
  [../]
  [./s_zx]
    type = PointValue
    point = '0 0 0'
    variable = stress_zx
  [../]
  [./s_zy]
    type = PointValue
    point = '0 0 0'
    variable = stress_zy
  [../]
  [./s_zz]
    type = PointValue
    point = '0 0 0'
    variable = stress_zz
  [../]
  [./c_s_xx]
    type = PointValue
    point = '0 0 0'
    variable = couple_stress_xx
  [../]
  [./c_s_xy]
    type = PointValue
    point = '0 0 0'
    variable = couple_stress_xy
  [../]
  [./c_s_xz]
    type = PointValue
    point = '0 0 0'
    variable = couple_stress_xz
  [../]
  [./c_s_yx]
    type = PointValue
    point = '0 0 0'
    variable = couple_stress_yx
  [../]
  [./c_s_yy]
    type = PointValue
    point = '0 0 0'
    variable = couple_stress_yy
  [../]
  [./c_s_yz]
    type = PointValue
    point = '0 0 0'
    variable = couple_stress_yz
  [../]
  [./c_s_zx]
    type = PointValue
    point = '0 0 0'
    variable = couple_stress_zx
  [../]
  [./c_s_zy]
    type = PointValue
    point = '0 0 0'
    variable = couple_stress_zy
  [../]
  [./c_s_zz]
    type = PointValue
    point = '0 0 0'
    variable = couple_stress_zz
  [../]
  [./strainp_xx]
    type = PointValue
    point = '0 0 0'
    variable = strainp_xx
  [../]
  [./strainp_xy]
    type = PointValue
    point = '0 0 0'
    variable = strainp_xy
  [../]
  [./strainp_xz]
    type = PointValue
    point = '0 0 0'
    variable = strainp_xz
  [../]
  [./strainp_yx]
    type = PointValue
    point = '0 0 0'
    variable = strainp_yx
  [../]
  [./strainp_yy]
    type = PointValue
    point = '0 0 0'
    variable = strainp_yy
  [../]
  [./strainp_yz]
    type = PointValue
    point = '0 0 0'
    variable = strainp_yz
  [../]
  [./strainp_zx]
    type = PointValue
    point = '0 0 0'
    variable = strainp_zx
  [../]
  [./strainp_zy]
    type = PointValue
    point = '0 0 0'
    variable = strainp_zy
  [../]
  [./strainp_zz]
    type = PointValue
    point = '0 0 0'
    variable = strainp_zz
  [../]
  [./straint_xx]
    type = PointValue
    point = '0 0 0'
    variable = straint_xx
  [../]
  [./straint_xy]
    type = PointValue
    point = '0 0 0'
    variable = straint_xy
  [../]
  [./straint_xz]
    type = PointValue
    point = '0 0 0'
    variable = straint_xz
  [../]
  [./straint_yx]
    type = PointValue
    point = '0 0 0'
    variable = straint_yx
  [../]
  [./straint_yy]
    type = PointValue
    point = '0 0 0'
    variable = straint_yy
  [../]
  [./straint_yz]
    type = PointValue
    point = '0 0 0'
    variable = straint_yz
  [../]
  [./straint_zx]
    type = PointValue
    point = '0 0 0'
    variable = straint_zx
  [../]
  [./straint_zy]
    type = PointValue
    point = '0 0 0'
    variable = straint_zy
  [../]
  [./straint_zz]
    type = PointValue
    point = '0 0 0'
    variable = straint_zz
  [../]
  [./f_shear]
    type = PointValue
    point = '0 0 0'
    variable = f_shear
  [../]
  [./f_tensile]
    type = PointValue
    point = '0 0 0'
    variable = f_tensile
  [../]
  [./f_compressive]
    type = PointValue
    point = '0 0 0'
    variable = f_compressive
  [../]
  [./intnl_shear]
    type = PointValue
    point = '0 0 0'
    variable = intnl_shear
  [../]
  [./intnl_tensile]
    type = PointValue
    point = '0 0 0'
    variable = intnl_tensile
  [../]
  [./iter]
    type = PointValue
    point = '0 0 0'
    variable = iter
  [../]
  [./ls]
    type = PointValue
    point = '0 0 0'
    variable = ls
  [../]
[]


[UserObjects]
  [./coh]
    type = SolidMechanicsHardeningConstant
    value = 20
  [../]
  [./tanphi]
    type = SolidMechanicsHardeningConstant
    value = 0.5
  [../]
  [./tanpsi]
    type = SolidMechanicsHardeningConstant
    value = 2.055555555556E-01
  [../]
  [./t_strength]
    type = SolidMechanicsHardeningConstant
    value = 100
  [../]
  [./c_strength]
    type = SolidMechanicsHardeningConstant
    value = 100
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeLayeredCosseratElasticityTensor
    young = 10.0
    poisson = 0.25
    layer_thickness = 10.0
    joint_normal_stiffness = 2.5
    joint_shear_stiffness = 2.0
  [../]
  [./strain]
    type = ComputeCosseratIncrementalSmallStrain
  [../]
  [./admissible]
    type = ComputeMultipleInelasticCosseratStress
    inelastic_models = stress
    perform_finite_strain_rotations = false
  [../]
  [./stress]
    type = CappedWeakPlaneCosseratStressUpdate
    cohesion = coh
    tan_friction_angle = tanphi
    tan_dilation_angle = tanpsi
    tensile_strength = t_strength
    compressive_strength = c_strength
    tip_smoother = 0
    smoothing_tol = 0
    yield_function_tol = 1E-5
  [../]
[]

[Preconditioning]
  [./andy]
    type = SMP
    full = true
  [../]
[]

[Executioner]
  solve_type = 'NEWTON'
  end_time = 1
  dt = 1
  type = Transient
[]

[Outputs]
  file_base = small_deform_cosserat4
  csv = true
[]

(modules/solid_mechanics/test/tests/mohr_coulomb/uni_axial2_planar.i)

# same as uni_axial2 but with planar mohr-coulomb
[Mesh]
  type = FileMesh
  file = quarter_hole.e
[]

[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
[]

[Kernels]
  [SolidMechanics]
    displacements = 'disp_x disp_y disp_z'
  [../]
[]


[BCs]
  [./zmin_zzero]
    type = DirichletBC
    variable = disp_z
    boundary = 'zmin'
    value = '0'
  [../]
  [./xmin_xzero]
    type = DirichletBC
    variable = disp_x
    boundary = 'xmin'
    value = '0'
  [../]
  [./ymin_yzero]
    type = DirichletBC
    variable = disp_y
    boundary = 'ymin'
    value = '0'
  [../]
  [./ymax_disp]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'ymax'
    function = '-1E-4*t'
  [../]
[]

[AuxVariables]
  [./stress_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./mc_int]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./yield_fcn]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]

[AuxKernels]
  [./stress_xx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xx
    index_i = 0
    index_j = 0
  [../]
  [./stress_xy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xy
    index_i = 0
    index_j = 1
  [../]
  [./stress_xz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xz
    index_i = 0
    index_j = 2
  [../]
  [./stress_yy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yy
    index_i = 1
    index_j = 1
  [../]
  [./stress_yz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yz
    index_i = 1
    index_j = 2
  [../]
  [./stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zz
    index_i = 2
    index_j = 2
  [../]
  [./mc_int_auxk]
    type = MaterialStdVectorAux
    index = 0
    property = plastic_internal_parameter
    variable = mc_int
  [../]
  [./yield_fcn_auxk]
    type = MaterialStdVectorAux
    index = 0
    property = plastic_yield_function
    variable = yield_fcn
  [../]
[]

[Postprocessors]
  [./s_xx]
    type = PointValue
    point = '0.005 0.02 0.002'
    variable = stress_xx
  [../]
  [./s_xy]
    type = PointValue
    point = '0.005 0.02 0.002'
    variable = stress_xy
  [../]
  [./s_xz]
    type = PointValue
    point = '0.005 0.02 0.002'
    variable = stress_xz
  [../]
  [./s_yy]
    type = PointValue
    point = '0.005 0.02 0.002'
    variable = stress_yy
  [../]
  [./s_yz]
    type = PointValue
    point = '0.005 0.02 0.002'
    variable = stress_yz
  [../]
  [./s_zz]
    type = PointValue
    point = '0.005 0.02 0.002'
    variable = stress_zz
  [../]
  [./f]
    type = PointValue
    point = '0.005 0.02 0.002'
    variable = yield_fcn
  [../]
[]

[UserObjects]
  [./coh]
    type = SolidMechanicsHardeningConstant
    value = 1E7
  [../]
  [./fric]
    type = SolidMechanicsHardeningConstant
    value = 2
    convert_to_radians = true
  [../]
  [./dil]
    type = SolidMechanicsHardeningConstant
    value = 2
    convert_to_radians = true
  [../]

  [./mc]
    type = SolidMechanicsPlasticMohrCoulombMulti
    cohesion = coh
    friction_angle = fric
    dilation_angle = dil
    yield_function_tolerance = 1.0 # THIS IS HIGHER THAN THE SMOOTH CASE TO AVOID PRECISION-LOSS PROBLEMS!
    shift = 1.0
    internal_constraint_tolerance = 1E-9
    use_custom_returnMap = false
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    block = 1
    fill_method = symmetric_isotropic
    C_ijkl = '0 5E9' # young = 10Gpa, poisson = 0.0
  [../]
  [./strain]
    type = ComputeIncrementalStrain
    block = 1
    displacements = 'disp_x disp_y disp_z'
  [../]
  [./mc]
    type = ComputeMultiPlasticityStress
    block = 1
    ep_plastic_tolerance = 1E-9
    plastic_models = mc
    max_NR_iterations = 100
    deactivation_scheme = 'safe'
    min_stepsize = 1
    max_stepsize_for_dumb = 1
    debug_fspb = crash
  [../]
[]

# Preconditioning and Executioner options kindly provided by Andrea
[Preconditioning]
  [./andy]
    type = SMP
    full = true
  [../]
[]


[Executioner]
  end_time = 0.5
  dt = 0.1
  solve_type = NEWTON
  type = Transient
[]


[Outputs]
  file_base = uni_axial2_planar
  [./exodus]
    type = Exodus
    hide = 'stress_xx stress_xy stress_xz stress_yy stress_yz stress_zz yield_fcn s_xx s_xy s_xz s_yy s_yz s_zz f'
  [../]
  [./csv]
    type = CSV
    time_step_interval = 1
  [../]
[]

(modules/solid_mechanics/test/tests/multi/three_surface20.i)

# Plasticit models:
# SimpleTester0 with a = 0 and b = 1 and strength = 1
# SimpleTester1 with a = 1 and b = 0 and strength = 1
# SimpleTester2 with a = 1 and b = 1 and strength = 1.5
#
# Lame lambda = 0 (Poisson=0).  Lame mu = 0.5E6
#
# A single element is stretched by 1.1E-6m in y direction and 1.7E-6 in z direction.
# trial stress_yy = 1.1 and stress_zz = 1.7
#
# Then all yield functions will activate
# However, there is linear dependence.  SimpleTester1 will be rutned off.
# The algorithm will return to
# stress_yy=0.5 and stress_zz=1
# internal0=0.1, internal2=0.6


[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]


[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
[]

[Kernels]
  [SolidMechanics]
    displacements = 'disp_x disp_y disp_z'
  [../]
[]


[BCs]
  [./x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'front back'
    function = '0E-6*x'
  [../]
  [./y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'front back'
    function = '1.1E-6*y'
  [../]
  [./z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'front back'
    function = '1.7E-6*z'
  [../]
[]

[AuxVariables]
  [./stress_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f0]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f1]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f2]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./int0]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./int1]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./int2]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]

[AuxKernels]
  [./stress_xx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xx
    index_i = 0
    index_j = 0
  [../]
  [./stress_xy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xy
    index_i = 0
    index_j = 1
  [../]
  [./stress_xz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xz
    index_i = 0
    index_j = 2
  [../]
  [./stress_yy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yy
    index_i = 1
    index_j = 1
  [../]
  [./stress_yz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yz
    index_i = 1
    index_j = 2
  [../]
  [./stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zz
    index_i = 2
    index_j = 2
  [../]
  [./f0]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 0
    variable = f0
  [../]
  [./f1]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 1
    variable = f1
  [../]
  [./f2]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 2
    variable = f2
  [../]
  [./int0]
    type = MaterialStdVectorAux
    property = plastic_internal_parameter
    factor = 1E6
    index = 0
    variable = int0
  [../]
  [./int1]
    type = MaterialStdVectorAux
    property = plastic_internal_parameter
    factor = 1E6
    index = 1
    variable = int1
  [../]
  [./int2]
    type = MaterialStdVectorAux
    property = plastic_internal_parameter
    factor = 1E6
    index = 2
    variable = int2
  [../]
[]

[Postprocessors]
  [./s_xx]
    type = PointValue
    point = '0 0 0'
    variable = stress_xx
  [../]
  [./s_xy]
    type = PointValue
    point = '0 0 0'
    variable = stress_xy
  [../]
  [./s_xz]
    type = PointValue
    point = '0 0 0'
    variable = stress_xz
  [../]
  [./s_yy]
    type = PointValue
    point = '0 0 0'
    variable = stress_yy
  [../]
  [./s_yz]
    type = PointValue
    point = '0 0 0'
    variable = stress_yz
  [../]
  [./s_zz]
    type = PointValue
    point = '0 0 0'
    variable = stress_zz
  [../]
  [./f0]
    type = PointValue
    point = '0 0 0'
    variable = f0
  [../]
  [./f1]
    type = PointValue
    point = '0 0 0'
    variable = f1
  [../]
  [./f2]
    type = PointValue
    point = '0 0 0'
    variable = f2
  [../]
  [./int0]
    type = PointValue
    point = '0 0 0'
    variable = int0
  [../]
  [./int1]
    type = PointValue
    point = '0 0 0'
    variable = int1
  [../]
  [./int2]
    type = PointValue
    point = '0 0 0'
    variable = int2
  [../]
[]

[UserObjects]
  [./simple0]
    type = SolidMechanicsPlasticSimpleTester
    a = 0
    b = 1
    strength = 1
    yield_function_tolerance = 1.0E-9
    internal_constraint_tolerance = 1.0E-9
  [../]
  [./simple1]
    type = SolidMechanicsPlasticSimpleTester
    a = 1
    b = 0
    strength = 1
    yield_function_tolerance = 1.0E-9
    internal_constraint_tolerance = 1.0E-9
  [../]
  [./simple2]
    type = SolidMechanicsPlasticSimpleTester
    a = 1
    b = 1
    strength = 1.5
    yield_function_tolerance = 1.0E-9
    internal_constraint_tolerance = 1.0E-9
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    block = 0
    fill_method = symmetric_isotropic
    C_ijkl = '0 0.5E6'
  [../]
  [./strain]
    type = ComputeFiniteStrain
    block = 0
    displacements = 'disp_x disp_y disp_z'
  [../]
  [./multi]
    type = ComputeMultiPlasticityStress
    block = 0
    ep_plastic_tolerance = 1E-9
    plastic_models = 'simple0 simple1 simple2'
    max_NR_iterations = 2
    min_stepsize = 1
    debug_fspb = crash
    debug_jac_at_stress = '10 0 0 0 10 0 0 0 10'
    debug_jac_at_pm = '1 1'
    debug_jac_at_intnl = '1 1'
    debug_stress_change = 1E-5
    debug_pm_change = '1E-6 1E-6'
    debug_intnl_change = '1E-6 1E-6'
  [../]
[]


[Executioner]
  end_time = 1
  dt = 1
  type = Transient
[]


[Outputs]
  file_base = three_surface20
  exodus = false
  [./csv]
    type = CSV
    [../]
[]

(test/tests/restart/restart_subapp_not_parent/two_step_solve_parent.i)

[Mesh]
  type = GeneratedMesh
  dim = 2
  xmin = -1
  xmax =  1
  ymin = -1
  ymax =  1
  nx = 2
  ny = 2
  elem_type = QUAD9
[]

[Functions]
  [./exact_fn]
    type = ParsedFunction
    expression = t*t*(x*x+y*y)
  [../]

  [./forcing_fn]
    type = ParsedFunction
    expression = 2*t*(x*x+y*y)-4*t*t
  [../]
[]

[Variables]
  [./u]
    family = LAGRANGE
    order = SECOND
  [../]
[]

[ICs]
  active = ''
  [./u_var]
    type = FunctionIC
    variable = u
    function = exact_fn
  [../]
[]

[Kernels]
  [./td]
    type = TimeDerivative
    variable = u
  [../]

  [./diff]
    type = Diffusion
    variable = u
  [../]

  [./ffn]
    type = BodyForce
    variable = u
    function = forcing_fn
  [../]
[]

[BCs]
  [./all]
    type = FunctionDirichletBC
    variable = u
    boundary = 'left right top bottom'
    function = exact_fn
  [../]
[]

[Postprocessors]
  [./average]
    type = ElementAverageValue
    variable = u
    execute_on = 'initial timestep_end'
  [../]
[]

[Executioner]
  type = Transient
  start_time = 2.0
  end_time = 4.0
  dt = 1.0
[]

[MultiApps]
  [./full_solve]
    type = FullSolveMultiApp
    execute_on = initial
    positions = '0 0 0'
    # input file will come from cli-coupled_variables
  [../]
[]

[Transfers]
  [./transfer_u]
    type = MultiAppProjectionTransfer
    multi_app = full_solve
    direction = FROM_MULTIAPP
    variable = u
    source_variable = u
  [../]
[]

[Outputs]
  #file_base will come from cli-coupled_variables
  exodus = true
[]

(modules/solid_mechanics/test/tests/smeared_cracking/cracking.i)

#
# Simple pull test for cracking.
# The stress increases for two steps and then drops to zero.

[Mesh]
  file = cracking_test.e
[]

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]

[Functions]
  [./displ]
    type = PiecewiseLinear
    x = '0 1 2 3  4'
    y = '0 1 0 -1 0'
  [../]
[]

[Physics/SolidMechanics/QuasiStatic]
  [./all]
    strain = FINITE
    add_variables = true
    generate_output = 'stress_xx stress_yy stress_zz stress_xy stress_yz stress_zx'
  [../]
[]

[BCs]
  [./pull]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 4
    function = displ
  [../]
  [./left]
    type = DirichletBC
    variable = disp_x
    boundary = 1
    value = 0.0
  [../]
  [./bottom]
    type = DirichletBC
    variable = disp_y
    boundary = 2
    value = 0.0
  [../]
  [./back]
    type = DirichletBC
    variable = disp_z
    boundary = 3
    value = 0.0
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeIsotropicElasticityTensor
    youngs_modulus = 2.8e7
    poissons_ratio = 0
  [../]
  [./elastic_stress]
    type = ComputeSmearedCrackingStress
    cracking_stress = 1.68e6
    softening_models = abrupt_softening
  [../]
  [./abrupt_softening]
    type = AbruptSoftening
  [../]
[]

[Executioner]
  type = Transient

  petsc_options_iname = '-ksp_gmres_restart -pc_type -sub_pc_type'
  petsc_options_value = '101                asm      lu'

  line_search = 'none'

  l_max_its = 100
  nl_max_its = 100
  nl_rel_tol = 1e-8
  nl_abs_tol = 1e-8
  l_tol = 1e-5
  start_time = 0.0
  end_time = 0.1
  dt = 0.025
[]

[Outputs]
  exodus = true
[]

(modules/solid_mechanics/test/tests/lagrangian/materials/badproperties/stvenantkirchhoff.i)

# Simple 3D test

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
  large_kinematics = true
[]

[Variables]
  [disp_x]
  []
  [disp_y]
  []
  [disp_z]
  []
[]

[Mesh]
  [msh]
    type = GeneratedMeshGenerator
    dim = 3
    nx = 1
    ny = 1
    nz = 1
  []
[]

[Kernels]
  [sdx]
    type = TotalLagrangianStressDivergence
    variable = disp_x
    component = 0
  []
  [sdy]
    type = TotalLagrangianStressDivergence
    variable = disp_y
    component = 1
  []
  [sdz]
    type = TotalLagrangianStressDivergence
    variable = disp_z
    component = 2
  []
[]

[Functions]
  [strain]
    type = ParsedFunction
    expression = 't'
  []
[]

[BCs]
  [leftx]
    type = DirichletBC
    preset = true
    boundary = left
    variable = disp_x
    value = 0.0
  []
  [boty]
    type = DirichletBC
    preset = true
    boundary = bottom
    variable = disp_y
    value = 0.0
  []
  [backz]
    type = DirichletBC
    preset = true
    boundary = back
    variable = disp_z
    value = 0.0
  []

  [pull_x]
    type = FunctionDirichletBC
    boundary = right
    variable = disp_x
    function = strain
  []
[]

[Materials]
  [elastic_tensor]
    type = ComputeElasticityTensor
    C_ijkl = '102272 113636 113636 1022726 454545'
    fill_method = axisymmetric_rz
  []
  [compute_stress]
    type = ComputeStVenantKirchhoffStress
  []
  [compute_strain]
    type = ComputeLagrangianStrain
  []
[]

[Preconditioning]
  [smp]
    type = SMP
    full = true
  []
[]

[AuxVariables]
  [s11]
    family = MONOMIAL
    order = CONSTANT
  []
  [s21]
    family = MONOMIAL
    order = CONSTANT
  []
  [s31]
    family = MONOMIAL
    order = CONSTANT
  []
  [s12]
    family = MONOMIAL
    order = CONSTANT
  []
  [s22]
    family = MONOMIAL
    order = CONSTANT
  []
  [s32]
    family = MONOMIAL
    order = CONSTANT
  []
  [s13]
    family = MONOMIAL
    order = CONSTANT
  []
  [s23]
    family = MONOMIAL
    order = CONSTANT
  []
  [s33]
    family = MONOMIAL
    order = CONSTANT
  []

  [F11]
    family = MONOMIAL
    order = CONSTANT
  []
  [F21]
    family = MONOMIAL
    order = CONSTANT
  []
  [F31]
    family = MONOMIAL
    order = CONSTANT
  []
  [F12]
    family = MONOMIAL
    order = CONSTANT
  []
  [F22]
    family = MONOMIAL
    order = CONSTANT
  []
  [F32]
    family = MONOMIAL
    order = CONSTANT
  []
  [F13]
    family = MONOMIAL
    order = CONSTANT
  []
  [F23]
    family = MONOMIAL
    order = CONSTANT
  []
  [F33]
    family = MONOMIAL
    order = CONSTANT
  []
[]

[AuxKernels]
  [s11]
    type = RankTwoAux
    variable = s11
    rank_two_tensor = pk1_stress
    index_i = 0
    index_j = 0
  []
  [s21]
    type = RankTwoAux
    variable = s21
    rank_two_tensor = pk1_stress
    index_i = 1
    index_j = 0
  []
  [s31]
    type = RankTwoAux
    variable = s31
    rank_two_tensor = pk1_stress
    index_i = 2
    index_j = 0
  []
  [s12]
    type = RankTwoAux
    variable = s12
    rank_two_tensor = pk1_stress
    index_i = 0
    index_j = 1
  []
  [s22]
    type = RankTwoAux
    variable = s22
    rank_two_tensor = pk1_stress
    index_i = 1
    index_j = 1
  []
  [s32]
    type = RankTwoAux
    variable = s32
    rank_two_tensor = pk1_stress
    index_i = 2
    index_j = 1
  []
  [s13]
    type = RankTwoAux
    variable = s13
    rank_two_tensor = pk1_stress
    index_i = 0
    index_j = 2
  []
  [s23]
    type = RankTwoAux
    variable = s23
    rank_two_tensor = pk1_stress
    index_i = 1
    index_j = 2
  []
  [s33]
    type = RankTwoAux
    variable = s33
    rank_two_tensor = pk1_stress
    index_i = 2
    index_j = 2
  []

  [F11]
    type = RankTwoAux
    variable = F11
    rank_two_tensor = deformation_gradient
    index_i = 0
    index_j = 0
  []
  [F21]
    type = RankTwoAux
    variable = F21
    rank_two_tensor = deformation_gradient
    index_i = 1
    index_j = 0
  []
  [F31]
    type = RankTwoAux
    variable = F31
    rank_two_tensor = deformation_gradient
    index_i = 2
    index_j = 0
  []
  [F12]
    type = RankTwoAux
    variable = F12
    rank_two_tensor = deformation_gradient
    index_i = 0
    index_j = 1
  []
  [F22]
    type = RankTwoAux
    variable = F22
    rank_two_tensor = deformation_gradient
    index_i = 1
    index_j = 1
  []
  [F32]
    type = RankTwoAux
    variable = F32
    rank_two_tensor = deformation_gradient
    index_i = 2
    index_j = 1
  []
  [F13]
    type = RankTwoAux
    variable = F13
    rank_two_tensor = deformation_gradient
    index_i = 0
    index_j = 2
  []
  [F23]
    type = RankTwoAux
    variable = F23
    rank_two_tensor = deformation_gradient
    index_i = 1
    index_j = 2
  []
  [F33]
    type = RankTwoAux
    variable = F33
    rank_two_tensor = deformation_gradient
    index_i = 2
    index_j = 2
  []
[]

[Postprocessors]
  [s11]
    type = ElementAverageValue
    variable = s11
    execute_on = 'initial timestep_end'
  []
  [s21]
    type = ElementAverageValue
    variable = s21
    execute_on = 'initial timestep_end'
  []
  [s31]
    type = ElementAverageValue
    variable = s31
    execute_on = 'initial timestep_end'
  []
  [s12]
    type = ElementAverageValue
    variable = s12
    execute_on = 'initial timestep_end'
  []
  [s22]
    type = ElementAverageValue
    variable = s22
    execute_on = 'initial timestep_end'
  []
  [s32]
    type = ElementAverageValue
    variable = s32
    execute_on = 'initial timestep_end'
  []
  [s13]
    type = ElementAverageValue
    variable = s13
    execute_on = 'initial timestep_end'
  []
  [s23]
    type = ElementAverageValue
    variable = s23
    execute_on = 'initial timestep_end'
  []
  [s33]
    type = ElementAverageValue
    variable = s33
    execute_on = 'initial timestep_end'
  []

  [F11]
    type = ElementAverageValue
    variable = F11
    execute_on = 'initial timestep_end'
  []
  [F21]
    type = ElementAverageValue
    variable = F21
    execute_on = 'initial timestep_end'
  []
  [F31]
    type = ElementAverageValue
    variable = F31
    execute_on = 'initial timestep_end'
  []
  [F12]
    type = ElementAverageValue
    variable = F12
    execute_on = 'initial timestep_end'
  []
  [F22]
    type = ElementAverageValue
    variable = F22
    execute_on = 'initial timestep_end'
  []
  [F32]
    type = ElementAverageValue
    variable = F32
    execute_on = 'initial timestep_end'
  []
  [F13]
    type = ElementAverageValue
    variable = F13
    execute_on = 'initial timestep_end'
  []
  [F23]
    type = ElementAverageValue
    variable = F23
    execute_on = 'initial timestep_end'
  []
  [F33]
    type = ElementAverageValue
    variable = F33
    execute_on = 'initial timestep_end'
  []
[]

[Executioner]
  type = Transient

  solve_type = 'newton'
  line_search = none

  petsc_options_iname = '-pc_type'
  petsc_options_value = 'lu'

  l_max_its = 2
  l_tol = 1e-14
  nl_max_its = 5
  nl_rel_tol = 1e-8
  nl_abs_tol = 1e-10

  start_time = 0.0
  dt = 0.01
  dtmin = 0.01
  end_time = 0.01
[]

[Outputs]
  exodus = false
[]

(modules/solid_mechanics/test/tests/weak_plane_shear/small_deform_harden4.i)

# apply repeated stretches to observe cohesion hardening, with cubic
[GlobalParams]
  displacements = 'x_disp y_disp z_disp'
[]

[Mesh]
  type = GeneratedMesh
  dim = 3
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]

[Physics/SolidMechanics/QuasiStatic/all]
  strain = FINITE
  add_variables = true
  generate_output = 'stress_xz stress_zx stress_yz stress_zz'
[]

[BCs]
  [bottomx]
    type = DirichletBC
    variable = x_disp
    boundary = back
    value = 0.0
  []
  [bottomy]
    type = DirichletBC
    variable = y_disp
    boundary = back
    value = 0.0
  []
  [bottomz]
    type = DirichletBC
    variable = z_disp
    boundary = back
    value = 0.0
  []

  [topx]
    type = FunctionDirichletBC
    variable = x_disp
    boundary = front
    function = '0'
  []
  [topy]
    type = FunctionDirichletBC
    variable = y_disp
    boundary = front
    function = '0'
  []
  [topz]
    type = FunctionDirichletBC
    variable = z_disp
    boundary = front
    function = '2*t'
  []
[]

[AuxVariables]
  [wps_internal]
    order = CONSTANT
    family = MONOMIAL
  []
  [yield_fcn]
    order = CONSTANT
    family = MONOMIAL
  []
[]

[AuxKernels]
  [wps_internal_auxk]
    type = MaterialStdVectorAux
    property = plastic_internal_parameter
    index = 0
    variable = wps_internal
  []
  [yield_fcn_auxk]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 0
    variable = yield_fcn
  []
[]

[Postprocessors]
  [s_xz]
    type = PointValue
    point = '0 0 0'
    variable = stress_xz
  []
  [s_yz]
    type = PointValue
    point = '0 0 0'
    variable = stress_yz
  []
  [s_zz]
    type = PointValue
    point = '0 0 0'
    variable = stress_zz
  []
  [f]
    type = PointValue
    point = '0 0 0'
    variable = yield_fcn
  []
  [int]
    type = PointValue
    point = '0 0 0'
    variable = wps_internal
  []
[]

[UserObjects]
  [coh]
    type = SolidMechanicsHardeningCubic
    value_0 = 1E3
    value_residual = 2E3
    internal_limit = 0.00007
  []
  [tanphi]
    type = SolidMechanicsHardeningConstant
    value = 1
  []
  [tanpsi]
    type = SolidMechanicsHardeningConstant
    value = 0.01745506
  []
  [wps]
    type = SolidMechanicsPlasticWeakPlaneShear
    cohesion = coh
    tan_friction_angle = tanphi
    tan_dilation_angle = tanpsi
    smoother = 500
    yield_function_tolerance = 1E-3
    internal_constraint_tolerance = 1E-3
  []
[]

[Materials]
  [elasticity_tensor]
    type = ComputeElasticityTensor
    fill_method = symmetric_isotropic
    C_ijkl = '1E9 0.5E9'
  []
  [mc]
    type = ComputeMultiPlasticityStress
    plastic_models = wps
    transverse_direction = '0 0 1'
    ep_plastic_tolerance = 1E-3
    debug_fspb = crash
  []
[]

[Executioner]
  end_time = 1E-6
  dt = 1E-7
  type = Transient
[]

[Outputs]
  csv = true
[]

(test/tests/geomsearch/2d_moving_penetration/pl_test1tt.i)

[GlobalParams]
  order = FIRST
  family = LAGRANGE
[]

[Mesh]
  file = pl_test1.e
  displacements = 'disp_x disp_y'
[]

[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
[]

[AuxVariables]
  [./distance]
  [../]
  [./tangential_distance]
  [../]
  [./normal_x]
  [../]
  [./normal_y]
  [../]
  [./closest_point_x]
  [../]
  [./closest_point_y]
  [../]
  [./element_id]
  [../]
  [./side]
  [../]
[]

[Kernels]
  [./diff_x]
    type = Diffusion
    variable = disp_x
  [../]
  [./diff_y]
    type = Diffusion
    variable = disp_y
  [../]
[]

[AuxKernels]
  [./penetrate]
    type = PenetrationAux
    variable = distance
    boundary = 11            #secondary
    paired_boundary = 12     #primary
    tangential_tolerance = 0.1
  [../]

  [./penetrate2]
    type = PenetrationAux
    variable = distance
    boundary = 12            #secondary
    paired_boundary = 11     #primary
    tangential_tolerance = 0.1
  [../]

  [./penetrate3]
    type = PenetrationAux
    variable = tangential_distance
    boundary = 11
    paired_boundary = 12
    quantity = tangential_distance
  [../]

  [./penetrate4]
    type = PenetrationAux
    variable = tangential_distance
    boundary = 12
    paired_boundary = 11
    quantity = tangential_distance
  [../]

  [./penetrate5]
    type = PenetrationAux
    variable = normal_x
    boundary = 11
    paired_boundary = 12
    quantity = normal_x
  [../]

  [./penetrate6]
    type = PenetrationAux
    variable = normal_x
    boundary = 12
    paired_boundary = 11
    quantity = normal_x
  [../]

  [./penetrate7]
    type = PenetrationAux
    variable = normal_y
    boundary = 11
    paired_boundary = 12
    quantity = normal_y
  [../]

  [./penetrate8]
    type = PenetrationAux
    variable = normal_y
    boundary = 12
    paired_boundary = 11
    quantity = normal_y
  [../]

  [./penetrate9]
    type = PenetrationAux
    variable = closest_point_x
    boundary = 11
    paired_boundary = 12
    quantity = closest_point_x
  [../]

  [./penetrate10]
    type = PenetrationAux
    variable = closest_point_x
    boundary = 12
    paired_boundary = 11
    quantity = closest_point_x
  [../]

  [./penetrate11]
    type = PenetrationAux
    variable = closest_point_y
    boundary = 11
    paired_boundary = 12
    quantity = closest_point_y
  [../]

  [./penetrate12]
    type = PenetrationAux
    variable = closest_point_y
    boundary = 12
    paired_boundary = 11
    quantity = closest_point_y
  [../]

  [./penetrate13]
    type = PenetrationAux
    variable = element_id
    boundary = 11
    paired_boundary = 12
    quantity = element_id
  [../]

  [./penetrate14]
    type = PenetrationAux
    variable = element_id
    boundary = 12
    paired_boundary = 11
    quantity = element_id
  [../]

  [./penetrate15]
    type = PenetrationAux
    variable = side
    boundary = 11
    paired_boundary = 12
    quantity = side
  [../]

  [./penetrate16]
    type = PenetrationAux
    variable = side
    boundary = 12
    paired_boundary = 11
    quantity = side
  [../]
[]

[BCs]
  [./b1x]
    type = DirichletBC
    variable = disp_x
    boundary = 1
    value = 0
  [../]

  [./b1y]
    type = DirichletBC
    variable = disp_y
    boundary = 1
    value = 0
  [../]

  [./b2x]
    type = DirichletBC
    variable = disp_x
    boundary = 2
    value = 0
  [../]

  [./b2y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 2
    function = disp_y
  [../]
[]

[Functions]
  [./disp_y]
    type = PiecewiseLinear
    x = '0.0 0.25 0.75 1.0'
    y = '0.0 0.7 -0.7  0.0'
  [../]
[]

[Executioner]
  type = Transient

  solve_type = 'PJFNK'
  petsc_options = '-snes_ksp_ew'

  nl_rel_tol = 1e-9
  l_max_its = 10

  start_time = 0.0
  dt = 0.05
  end_time = 1.0
[]

[Outputs]
  file_base = pl_test1tt_out
  exodus = true
[]

(modules/heat_transfer/tutorials/introduction/therm_step02a.i)

#
# Single block thermal input with a line value sampler
# https://mooseframework.inl.gov/modules/heat_transfer/tutorials/introduction/therm_step02.html
#

[Mesh]
  [generated]
    type = GeneratedMeshGenerator
    dim = 2
    nx = 10
    ny = 10
    xmax = 2
    ymax = 1
  []
[]

[Variables]
  [T]
  []
[]

[Kernels]
  [heat_conduction]
    type = HeatConduction
    variable = T
  []
[]

[Materials]
  [thermal]
    type = HeatConductionMaterial
    thermal_conductivity = 45.0
  []
[]

[BCs]
  [t_left]
    type = DirichletBC
    variable = T
    value = 300
    boundary = 'left'
  []
  [t_right]
    type = FunctionDirichletBC
    variable = T
    function = '300+5*t'
    boundary = 'right'
  []
[]

[Executioner]
  type = Transient
  end_time = 5
  dt = 1
[]

[VectorPostprocessors]
  [t_sampler]
    type = LineValueSampler
    variable = T
    start_point = '0 0.5 0'
    end_point = '2 0.5 0'
    num_points = 20
    sort_by = x
  []
[]

[Outputs]
  exodus = true
  [csv]
    type = CSV
    file_base = therm_step02a_out
    execute_on = final
  []
[]

(test/tests/outputs/displacement/displaced_eq_transient_test.i)

[Mesh]
  type = GeneratedMesh
  dim = 2
  xmin = -1
  xmax = 1
  ymin = -1
  ymax = 1
  nx = 5
  ny = 5
  elem_type = QUAD4

  displacements = 'u v'
[]

[Functions]
  [./right_u]
    type = ParsedFunction
    expression = 0.1*t
  [../]

  [./fn_v]
    type = ParsedFunction
    expression = (x+1)*y*0.1*t
  [../]
[]

[Variables]
  [./u]
    order = FIRST
    family = LAGRANGE
  [../]
  [./v]
    order = FIRST
    family = LAGRANGE
  [../]
[]

[Kernels]
  [./td_u]
    type = TimeDerivative
    variable = u
    use_displaced_mesh = true
  [../]
  [./diff_u]
    type = Diffusion
    variable = u
    use_displaced_mesh = true
  [../]

  [./td_v]
    type = TimeDerivative
    variable = v
  [../]
  [./diff_v]
    type = Diffusion
    variable = v
  [../]
[]

[BCs]
  [./left_u]
    type = DirichletBC
    variable = u
    boundary = 3
    value = 0
  [../]
  [./right_u]
    type = FunctionDirichletBC
    variable = u
    boundary = 1
    function = right_u
  [../]

  [./left_v]
    type = FunctionDirichletBC
    variable = v
    boundary = '0 2'
    function = fn_v
  [../]
[]

[Executioner]
  type = Transient

  dt = 0.1
  start_time = 0
  num_steps = 10


  solve_type = 'PJFNK'
[]

[Outputs]
  [./out_displaced]
    type = Exodus
    use_displaced = true
  [../]
[]

(modules/solid_mechanics/test/tests/lagrangian/cartesian/total/convergence/L/small.i)

[Mesh]
  type = FileMesh
  file = 'L.exo'
[]

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
  large_kinematics = false
[]

[Variables]
  [disp_x]
  []
  [disp_y]
  []
  [disp_z]
  []
[]

[Functions]
  [pfn]
    type = PiecewiseLinear
    x = '0    1    2'
    y = '0.00 0.3 0.5'
  []
[]

[Kernels]
  [sdx]
    type = TotalLagrangianStressDivergence
    variable = disp_x
    component = 0
  []
  [sdy]
    type = TotalLagrangianStressDivergence
    variable = disp_y
    component = 1
  []
  [sdz]
    type = TotalLagrangianStressDivergence
    variable = disp_z
    component = 2
  []
[]

[BCs]
  [left]
    type = DirichletBC
    preset = true
    variable = disp_x
    boundary = fix
    value = 0.0
  []

  [bottom]
    type = DirichletBC
    preset = true
    variable = disp_y
    boundary = fix
    value = 0.0
  []

  [back]
    type = DirichletBC
    preset = true
    variable = disp_z
    boundary = fix
    value = 0.0
  []

  [front]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = pull
    function = pfn
    preset = true
  []
[]

[Materials]
  [elastic_tensor]
    type = ComputeIsotropicElasticityTensor
    youngs_modulus = 100000.0
    poissons_ratio = 0.25
  []
  [compute_stress]
    type = ComputeLagrangianLinearElasticStress
  []
  [compute_strain]
    type = ComputeLagrangianStrain
  []
[]

[Preconditioning]
  [smp]
    type = SMP
    full = true
  []
[]

[Executioner]
  type = Transient

  solve_type = 'newton'

  petsc_options_iname = -pc_type
  petsc_options_value = lu

  nl_abs_tol = 1e-10
  nl_rel_tol = 1e-8

  end_time = 1.0
  dtmin = 0.5
  dt = 0.5
[]

[Postprocessors]
  [nonlin]
    type = NumNonlinearIterations
  []
[]

[Outputs]
  exodus = false
  csv = true
[]

(modules/solid_mechanics/test/tests/mean_cap_TC/small_deform1.i)

# apply uniform stretch in x, y and z directions.
# trial_stress(0, 0) = -2
# trial_stress(1, 1) = 6
# trial_stress(2, 2) = 10
# With tensile_strength = 2, the algorithm should return to trace(stress) = 2, or
# stress(0, 0) = -6
# stress(1, 1) = 2
# stress(2, 2) = 6


[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]


[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
[]

[Kernels]
  [SolidMechanics]
    displacements = 'disp_x disp_y disp_z'
  [../]
[]


[BCs]
  [./x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'front back'
    function = '-1E-7*x'
  [../]
  [./y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'front back'
    function = '3E-7*y'
  [../]
  [./z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'front back'
    function = '5E-7*z'
  [../]
[]

[AuxVariables]
  [./stress_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]

[AuxKernels]
  [./stress_xx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xx
    index_i = 0
    index_j = 0
  [../]
  [./stress_xy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xy
    index_i = 0
    index_j = 1
  [../]
  [./stress_xz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xz
    index_i = 0
    index_j = 2
  [../]
  [./stress_yy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yy
    index_i = 1
    index_j = 1
  [../]
  [./stress_yz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yz
    index_i = 1
    index_j = 2
  [../]
  [./stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zz
    index_i = 2
    index_j = 2
  [../]
  [./f]
    type = MaterialStdVectorAux
    index = 0
    property = plastic_yield_function
    variable = f
  [../]
[]

[Postprocessors]
  [./s_xx]
    type = PointValue
    point = '0 0 0'
    variable = stress_xx
  [../]
  [./s_xy]
    type = PointValue
    point = '0 0 0'
    variable = stress_xy
  [../]
  [./s_xz]
    type = PointValue
    point = '0 0 0'
    variable = stress_xz
  [../]
  [./s_yy]
    type = PointValue
    point = '0 0 0'
    variable = stress_yy
  [../]
  [./s_yz]
    type = PointValue
    point = '0 0 0'
    variable = stress_yz
  [../]
  [./s_zz]
    type = PointValue
    point = '0 0 0'
    variable = stress_zz
  [../]
  [./f]
    type = PointValue
    point = '0 0 0'
    variable = f
  [../]
[]

[UserObjects]
  [./tensile_strength]
    type = SolidMechanicsHardeningConstant
    value = 2
  [../]
  [./compressive_strength]
    type = SolidMechanicsHardeningConstant
    value = -1
  [../]
  [./cap]
    type = SolidMechanicsPlasticMeanCapTC
    tensile_strength = tensile_strength
    compressive_strength = compressive_strength
    yield_function_tolerance = 1E-3
    internal_constraint_tolerance = 1E-9
    use_custom_returnMap = false
    use_custom_cto = false
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    block = 0
    fill_method = symmetric_isotropic
    C_ijkl = '0 1E7'
  [../]
  [./strain]
    type = ComputeIncrementalStrain
    block = 0
    displacements = 'disp_x disp_y disp_z'
  [../]
  [./mean_cap]
    type = ComputeMultiPlasticityStress
    block = 0
    ep_plastic_tolerance = 1E-9
    plastic_models = cap
  [../]
[]


[Executioner]
  end_time = 1
  dt = 1
  type = Transient
[]


[Outputs]
  file_base = small_deform1
  exodus = false
  [./csv]
    type = CSV
  [../]
[]

(modules/solid_mechanics/test/tests/weak_plane_shear/small_deform2.i)

# apply a pure tension, then some shear with compression
# the BCs are designed to map out the yield function, showing
# the affect of the small_smoother parameter
[GlobalParams]
  displacements = 'x_disp y_disp z_disp'
[]

[Mesh]
  type = GeneratedMesh
  dim = 3
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]

[Physics/SolidMechanics/QuasiStatic/all]
  strain = FINITE
  add_variables = true
  generate_output = 'stress_xz stress_zx stress_yz stress_zz'
[]

[BCs]
  [bottomx]
    type = DirichletBC
    variable = x_disp
    boundary = back
    value = 0.0
  []
  [bottomy]
    type = DirichletBC
    variable = y_disp
    boundary = back
    value = 0.0
  []
  [bottomz]
    type = DirichletBC
    variable = z_disp
    boundary = back
    value = 0.0
  []

  [topx]
    type = FunctionDirichletBC
    variable = x_disp
    boundary = front
    function = 'if(t<1E-6,0,3*t)'
  []
  [topy]
    type = FunctionDirichletBC
    variable = y_disp
    boundary = front
    function = 'if(t<1E-6,0,5*(t-0.01E-6))'
  []
  [topz]
    type = FunctionDirichletBC
    variable = z_disp
    boundary = front
    function = 'if(t<1E-6,t,2E-6-t)'
  []
[]

[AuxVariables]
  [yield_fcn]
    order = CONSTANT
    family = MONOMIAL
  []
[]

[AuxKernels]
  [yield_fcn_auxk]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 0
    variable = yield_fcn
  []
[]

[Postprocessors]
  [s_xz]
    type = PointValue
    point = '0 0 0'
    variable = stress_xz
  []
  [s_yz]
    type = PointValue
    point = '0 0 0'
    variable = stress_yz
  []
  [s_zz]
    type = PointValue
    point = '0 0 0'
    variable = stress_zz
  []
  [f]
    type = PointValue
    point = '0 0 0'
    variable = yield_fcn
  []
[]

[UserObjects]
  [coh]
    type = SolidMechanicsHardeningConstant
    value = 1E3
  []
  [tanphi]
    type = SolidMechanicsHardeningConstant
    value = 1
  []
  [tanpsi]
    type = SolidMechanicsHardeningConstant
    value = 0.01745506
  []
  [wps]
    type = SolidMechanicsPlasticWeakPlaneShear
    cohesion = coh
    tan_friction_angle = tanphi
    tan_dilation_angle = tanpsi
    smoother = 500
    yield_function_tolerance = 1E-3
    internal_constraint_tolerance = 1E-6
  []
[]

[Materials]
  [elasticity_tensor]
    type = ComputeElasticityTensor
    fill_method = symmetric_isotropic
    C_ijkl = '1E9 0.5E9'
  []
  [mc]
    type = ComputeMultiPlasticityStress
    ep_plastic_tolerance = 1E-4
    plastic_models = wps
    transverse_direction = '0 0 1'
    debug_fspb = crash
  []
[]

[Executioner]
  end_time = 2E-6
  dt = 1E-7
  type = Transient
[]

[Outputs]
  csv = true
[]

(modules/solid_mechanics/test/tests/capped_mohr_coulomb/small_deform_hard21.i)

# Mohr-Coulomb only
# apply stretches in x direction and smaller stretches in the y direction
# to observe return to the MC plane
# This tests uses hardening of the cohesion.  The returned configuration
# should obey
# 0 = 0.5 * (Smax - Smin) + 0.5 * (Smax + Smin) * sin(phi) - C cos(phi)
# which allows inference of C.
# The tensile internal parameter is recorded, to check that it is zero

[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]
[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]

[Physics/SolidMechanics/QuasiStatic]
  [./all]
    add_variables = true
    incremental = true
    generate_output = 'max_principal_stress mid_principal_stress min_principal_stress stress_xx stress_xy stress_xz stress_yy stress_yz stress_zz'
  [../]
[]

[BCs]
  [./x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'front back'
    function = '0.4E-6*x*t'
  [../]
  [./y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'front back'
    function = '0.1E-6*y*t'
  [../]
  [./z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'front back'
    function = '0'
  [../]
[]

[AuxVariables]
  [./yield_fcn]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./iter]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./intnl]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./intnl_tensile]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]

[AuxKernels]
  [./yield_fcn_auxk]
    type = MaterialStdVectorAux
    index = 6
    property = plastic_yield_function
    variable = yield_fcn
  [../]
  [./iter_auxk]
    type = MaterialRealAux
    property = plastic_NR_iterations
    variable = iter
  [../]
  [./intnl_auxk]
    type = MaterialStdVectorAux
    property = plastic_internal_parameter
    index = 0
    variable = intnl
  [../]
  [./intnl_tensile]
    type = MaterialStdVectorAux
    property = plastic_internal_parameter
    index = 1
    variable = intnl_tensile
  [../]
[]

[Postprocessors]
  [./s_max]
    type = PointValue
    point = '0 0 0'
    variable = max_principal_stress
  [../]
  [./s_mid]
    type = PointValue
    point = '0 0 0'
    variable = mid_principal_stress
  [../]
  [./s_min]
    type = PointValue
    point = '0 0 0'
    variable = min_principal_stress
  [../]
  [./f]
    type = PointValue
    point = '0 0 0'
    variable = yield_fcn
  [../]
  [./iter]
    type = PointValue
    point = '0 0 0'
    variable = iter
  [../]
  [./intnl]
    type = PointValue
    point = '0 0 0'
    variable = intnl
  [../]
  [./intnl_tensile]
    type = PointValue
    point = '0 0 0'
    variable = intnl_tensile
  [../]
[]

[UserObjects]
  [./ts]
    type = SolidMechanicsHardeningConstant
    value = 1E6
  [../]
  [./mc_coh]
    type = SolidMechanicsHardeningCubic
    value_0 = 10
    value_residual = 20
    internal_limit = 5E-6
  [../]
  [./mc_phi]
    type = SolidMechanicsHardeningConstant
    value = 30
    convert_to_radians = true
  [../]
  [./mc_psi]
    type = SolidMechanicsHardeningConstant
    value = 30
    convert_to_radians = true
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeIsotropicElasticityTensor
    youngs_modulus = 1E7
    poissons_ratio = 0.3
  [../]
  [./mc]
    type = CappedMohrCoulombStressUpdate
    tensile_strength = ts
    compressive_strength = ts
    cohesion = mc_coh
    friction_angle = mc_phi
    dilation_angle = mc_psi
    smoothing_tol = 0
    yield_function_tol = 1.0E-9
  [../]
  [./stress]
    type = ComputeMultipleInelasticStress
    inelastic_models = mc
    perform_finite_strain_rotations = false
  [../]
[]


[Executioner]
  end_time = 10
  dt = 1
  type = Transient
[]


[Outputs]
  file_base = small_deform_hard21
  csv = true
[]

(modules/combined/test/tests/phase_field_fracture_viscoplastic/crack2d.i)

[Mesh]
  type = FileMesh
  file = crack_mesh.e
[]

[GlobalParams]
  displacements = 'disp_x disp_y'
  volumetric_locking_correction = true
[]

[Physics]
  [./SolidMechanics]
    [./QuasiStatic]
      [./All]
        add_variables = true
        strain = Finite
        additional_generate_output = stress_yy
        save_in = 'resid_x resid_y'
      [../]
    [../]
  [../]
[]
[Modules]
  [./PhaseField]
    [./Nonconserved]
      [./c]
        free_energy = E_el
        mobility = L
        kappa = kappa_op
      [../]
    [../]
  [../]
[]

[AuxVariables]
  [./resid_x]
  [../]
  [./resid_y]
  [../]
  [./stress_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./peeq]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]

[Kernels]
  [./solid_x]
    type = PhaseFieldFractureMechanicsOffDiag
    variable = disp_x
    component = 0
    c = c
    use_displaced_mesh = true
  [../]
  [./solid_y]
    type = PhaseFieldFractureMechanicsOffDiag
    variable = disp_y
    component = 1
    c = c
    use_displaced_mesh = true
  [../]
[]

[AuxKernels]
  [./stress_yy]
    type = RankTwoAux
    variable = stress_yy
    rank_two_tensor = stress
    index_j = 1
    index_i = 1
    execute_on = timestep_end
  [../]
  [./peeq]
    type = MaterialRealAux
    variable = peeq
    property = ep_eqv
    execute_on = timestep_end
  [../]
[]

[BCs]
  [./ydisp]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 2
    function = '0.0001*t'
  [../]
  [./yfix]
    type = DirichletBC
    variable = disp_y
    boundary = 1
    value = 0
  [../]
  [./xfix]
    type = DirichletBC
    variable = disp_x
    boundary = '1 2'
    value = 0
  [../]
[]

[UserObjects]
  [./flowstress]
    type = HEVPLinearHardening
    yield_stress = 300
    slope = 1000
    intvar_prop_name = ep_eqv
  [../]
  [./flowrate]
    type = HEVPFlowRatePowerLawJ2
    reference_flow_rate = 0.0001
    flow_rate_exponent = 10.0
    flow_rate_tol = 1
    strength_prop_name = flowstress
  [../]
  [./ep_eqv]
     type = HEVPEqvPlasticStrain
     intvar_rate_prop_name = ep_eqv_rate
  [../]
  [./ep_eqv_rate]
     type = HEVPEqvPlasticStrainRate
     flow_rate_prop_name = flowrate
  [../]
[]

[Materials]
  [./pfbulkmat]
    type = GenericConstantMaterial
    prop_names = 'l visco'
    prop_values = '0.08 1'
  [../]
  [./pfgc]
    type = GenericFunctionMaterial
    prop_names = 'gc_prop'
    prop_values = '1.0e-3'
  [../]
  [./define_mobility]
    type = ParsedMaterial
    material_property_names = 'gc_prop visco'
    property_name = L
    expression = '1/(gc_prop * visco)'
  [../]
  [./define_kappa]
    type = ParsedMaterial
    material_property_names = 'gc_prop l'
    property_name = kappa_op
    expression = 'gc_prop * l'
  [../]
  [./viscop_damage]
    type = HyperElasticPhaseFieldIsoDamage
    resid_abs_tol = 1e-18
    resid_rel_tol = 1e-8
    maxiters = 50
    max_substep_iteration = 5
    flow_rate_user_objects = 'flowrate'
    strength_user_objects = 'flowstress'
    internal_var_user_objects = 'ep_eqv'
    internal_var_rate_user_objects = 'ep_eqv_rate'
    numerical_stiffness = false
    damage_stiffness = 1e-8
    c = c
    F_name = E_el
  [../]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    C_ijkl = '120.0 80.0'
    fill_method = symmetric_isotropic
  [../]
[]

[Postprocessors]
  [./resid_x]
    type = NodalSum
    variable = resid_x
    boundary = 2
  [../]
  [./resid_y]
    type = NodalSum
    variable = resid_y
    boundary = 2
  [../]
[]

[Preconditioning]
  [./smp]
    type = SMP
    full = true
  [../]
[]

[Executioner]
  type = Transient

  solve_type = PJFNK
  petsc_options_iname = '-pc_type -ksp_grmres_restart -sub_ksp_type -sub_pc_type -pc_asm_overlap'
  petsc_options_value = 'asm      31                  preonly       lu           1'

  nl_rel_tol = 1e-8

  l_max_its = 10
  nl_max_its = 10

  dt = 1
  dtmin = 1e-4
  num_steps = 2
[]

[Outputs]
  exodus = true
[]

(modules/contact/test/tests/normalized_penalty/normalized_penalty_kin.i)

[GlobalParams]
  volumetric_locking_correction = false
  displacements = 'disp_x disp_y'
[]

[Mesh]
  file = normalized_penalty.e
[]

[Problem]
  type = ReferenceResidualProblem
  extra_tag_vectors = 'ref'
  reference_vector = 'ref'
[]

[Functions]
  [./left_x]
    type = PiecewiseLinear
    x = '0 1 2'
    y = '0 0.02 0'
  [../]
[]

[AuxVariables]
  [./saved_x]
  [../]
  [./saved_y]
  [../]
[]

[Physics/SolidMechanics/QuasiStatic]
  [./all]
    add_variables = true
    strain = FINITE
    generate_output = 'stress_xx'
    save_in = 'saved_x saved_y'
    extra_vector_tags = 'ref'
  []
[]

[Contact]
  [./m3_s2]
    primary = 3
    secondary = 2
    penalty = 1e10
    normalize_penalty = true
    tangential_tolerance = 1e-3
  [../]
[]

[BCs]
  [./left_x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 1
    function = left_x
  [../]

  [./y]
    type = DirichletBC
    variable = disp_y
    boundary = '1 2 3 4'
    value = 0.0
  [../]

  [./right]
    type = DirichletBC
    variable = disp_x
    boundary = '3 4'
    value = 0
  [../]
[]

[Materials]
  [./stiffStuff1]
    type = ComputeIsotropicElasticityTensor
    block = '1 2 3 4 1000'
    youngs_modulus = 3e8
    poissons_ratio = 0.0
  [../]
  [./stiffStuff1_stress]
    type = ComputeFiniteStrainElasticStress
    block = '1 2 3 4 1000'
  [../]
[]

[Executioner]
  type = Transient
  solve_type = 'PJFNK'

  petsc_options_iname = '-pc_type -ksp_gmres_restart'
  petsc_options_value = 'lu       101'

  line_search = 'none'

  nl_rel_tol = 1e-12
  nl_abs_tol = 3e-8

  l_max_its = 100
  nl_max_its = 20
  dt = 0.5
  num_steps = 4
[]

[Outputs]
  exodus = true
[]

(modules/solid_mechanics/test/tests/lagrangian/cartesian/updated/convergence-auto/3D/dirichlet.i)

# Simple 3D test

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
  large_kinematics = true
[]

[Variables]
  [disp_x]
  []
  [disp_y]
  []
  [disp_z]
  []
[]

[ICs]
  [disp_x]
    type = RandomIC
    variable = disp_x
    min = -0.02
    max = 0.02
  []
  [disp_y]
    type = RandomIC
    variable = disp_y
    min = -0.02
    max = 0.02
  []
  [disp_z]
    type = RandomIC
    variable = disp_z
    min = -0.02
    max = 0.02
  []
[]

[Mesh]
  [msh]
    type = GeneratedMeshGenerator
    dim = 3
    nx = 4
    ny = 4
    nz = 4
  []
[]

[Kernels]
  [sdx]
    type = UpdatedLagrangianStressDivergence
    variable = disp_x
    component = 0
    use_displaced_mesh = true
  []
  [sdy]
    type = UpdatedLagrangianStressDivergence
    variable = disp_y
    component = 1
    use_displaced_mesh = true
  []
  [sdz]
    type = UpdatedLagrangianStressDivergence
    variable = disp_z
    component = 2
    use_displaced_mesh = true
  []
[]

[Functions]
  [pullx]
    type = ParsedFunction
    expression = '0.4 * t'
  []
  [pully]
    type = ParsedFunction
    expression = '-0.2 * t'
  []
  [pullz]
    type = ParsedFunction
    expression = '0.3 * t'
  []
[]

[BCs]
  [leftx]
    type = DirichletBC
    preset = true
    boundary = left
    variable = disp_x
    value = 0.0
  []
  [lefty]
    type = DirichletBC
    preset = true
    boundary = left
    variable = disp_y
    value = 0.0
  []
  [leftz]
    type = DirichletBC
    preset = true
    boundary = left
    variable = disp_z
    value = 0.0
  []
  [pull_x]
    type = FunctionDirichletBC
    boundary = right
    variable = disp_x
    function = pullx
    preset = true
  []
  [pull_y]
    type = FunctionDirichletBC
    boundary = top
    variable = disp_y
    function = pully
    preset = true
  []
  [pull_z]
    type = FunctionDirichletBC
    boundary = right
    variable = disp_z
    function = pullz
    preset = true
  []
[]

[Materials]
  [elastic_tensor]
    type = ComputeIsotropicElasticityTensor
    youngs_modulus = 100000.0
    poissons_ratio = 0.3
  []
  [compute_stress]
    type = ComputeLagrangianLinearElasticStress
  []
  [compute_strain]
    type = ComputeLagrangianStrain
  []
[]

[Preconditioning]
  [smp]
    type = SMP
    full = true
  []
[]

[Executioner]
  type = Transient

  solve_type = 'newton'
  line_search = none

  petsc_options_iname = '-pc_type'
  petsc_options_value = 'lu'

  l_max_its = 2
  l_tol = 1e-14
  nl_max_its = 15
  nl_rel_tol = 1e-8
  nl_abs_tol = 1e-10

  start_time = 0.0
  dt = 0.2
  dtmin = 0.2
  end_time = 0.2
[]

(modules/solid_mechanics/test/tests/capped_mohr_coulomb/small_deform24.i)

# apply repeated stretches in z directions, and smaller stretches along the x and y directions,
# so that sigma_mid = sigma_min (approximately),
# which means that lode angle = -30deg.
# The allows yield surface in meridional plane to be mapped out


[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]


[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]

[Physics/SolidMechanics/QuasiStatic]
  [./all]
    add_variables = true
    incremental = true
    generate_output = 'max_principal_stress mid_principal_stress min_principal_stress stress_xx stress_xy stress_xz stress_yy stress_yz stress_zz'
  [../]
[]


[BCs]
  [./x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'front back'
    function = '0.25E-6*x*sin(t)'
  [../]
  [./y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'front back'
    function = '0.25E-6*y*sin(t)'
  [../]
  [./z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'front back'
    function = '1E-6*z*t'
  [../]
[]

[AuxVariables]
  [./mc_int]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./yield_fcn]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]

[AuxKernels]
  [./mc_int_auxk]
    type = MaterialStdVectorAux
    index = 0
    property = plastic_internal_parameter
    variable = mc_int
  [../]
  [./yield_fcn_auxk]
    type = MaterialStdVectorAux
    index = 6
    property = plastic_yield_function
    variable = yield_fcn
  [../]
[]

[Postprocessors]
  [./s_xx]
    type = PointValue
    point = '0 0 0'
    variable = stress_xx
  [../]
  [./s_xy]
    type = PointValue
    point = '0 0 0'
    variable = stress_xy
  [../]
  [./s_xz]
    type = PointValue
    point = '0 0 0'
    variable = stress_xz
  [../]
  [./s_yy]
    type = PointValue
    point = '0 0 0'
    variable = stress_yy
  [../]
  [./s_yz]
    type = PointValue
    point = '0 0 0'
    variable = stress_yz
  [../]
  [./s_zz]
    type = PointValue
    point = '0 0 0'
    variable = stress_zz
  [../]
  [./internal]
    type = PointValue
    point = '0 0 0'
    variable = mc_int
  [../]
  [./f]
    type = PointValue
    point = '0 0 0'
    variable = yield_fcn
  [../]
[]

[UserObjects]
  [./ts]
    type = SolidMechanicsHardeningConstant
    value = 1E6
  [../]
  [./mc_coh]
    type = SolidMechanicsHardeningConstant
    value = 10
  [../]
  [./mc_phi]
    type = SolidMechanicsHardeningConstant
    value = 30
    convert_to_radians = true
  [../]
  [./mc_psi]
    type = SolidMechanicsHardeningConstant
    value = 0.5
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    fill_method = symmetric_isotropic
    C_ijkl = '0 1E7'
  [../]
  [./mc]
    type = CappedMohrCoulombStressUpdate
    tensile_strength = ts
    compressive_strength = ts
    cohesion = mc_coh
    friction_angle = mc_phi
    dilation_angle = mc_psi
    smoothing_tol = 5.0
    yield_function_tol = 1.0E-7
  [../]
  [./stress]
    type = ComputeMultipleInelasticStress
    inelastic_models = mc
    perform_finite_strain_rotations = false
  [../]
[]


[Executioner]
  end_time = 30
  dt = 1
  type = Transient
[]


[Outputs]
  file_base = small_deform24
  csv = true
[]

(modules/contact/test/tests/ring_contact/ring_contact.i)

#
# A test of contact with quadratic (Hex20) elements
#
# A stiff ring is pushed into a soft base.  The base shows a circular impression.
#

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
  volumetric_locking_correction = false
[]

[Mesh]
  file = ring_contact.e
[]

[Functions]
  [./ring_y]
    type = PiecewiseLinear
    x = '0 1'
    y = '0 1'
    scale_factor = -0.2
  [../]
[]

[Physics/SolidMechanics/QuasiStatic]
  [./all]
    add_variables = true
    strain = FINITE
  [../]
[]

[Contact]
  [./dummy_name]
    primary = 3
    secondary = 2
    penalty = 1e3
    tension_release = -1
  [../]
[]

[BCs]
  [./plane]
    type = DirichletBC
    variable = disp_z
    boundary = 10
    value = 0.0
  [../]

  [./bottom_x]
    type = DirichletBC
    variable = disp_x
    boundary = 1
    value = 0.0
  [../]

  [./bottom_y]
    type = DirichletBC
    variable = disp_y
    boundary = 1
    value = 0.0
  [../]

  [./bottom_z]
    type = DirichletBC
    variable = disp_z
    boundary = 1
    value = 0.0
  [../]

  [./ring_x]
    type = DirichletBC
    variable = disp_x
    boundary = 4
    value = 0.0
  [../]

  [./ring_y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 4
    function = ring_y
  [../]
[]

[Materials]
  [./stiffStuff1]
    type = ComputeIsotropicElasticityTensor
    block = '1'
    youngs_modulus = 1e6
    poissons_ratio = 0.3
  [../]
  [./stiffStuff2]
    type = ComputeIsotropicElasticityTensor
    block = '2'
    youngs_modulus = 1e3
    poissons_ratio = 0.3
  [../]
  [./stress]
    type = ComputeFiniteStrainElasticStress
    block = '1 2'
  [../]
[]  # Materials

[Preconditioning]
  [./SMP]
    type = SMP
    full = true
  []
[]

[Executioner]
  type = Transient
  solve_type = 'PJFNK'

  petsc_options_iname = '-pc_type -ksp_gmres_restart'
  petsc_options_value = 'lu       101'
  line_search = 'none'
  nl_rel_tol = 1.e-10
  l_max_its = 100
  nl_max_its = 10
  dt = 0.1
  end_time = 0.5

  [./Quadrature]
    order = THIRD
  [../]
[]

[Outputs]
  exodus = true
[]

(modules/solid_mechanics/test/tests/multi/eight_surface14.i)

# Plasticit models:
# SimpleTester0 with a = 0 and b = 1 and strength = 1
# SimpleTester1 with a = 1 and b = 0 and strength = 1
# SimpleTester2 with a = 1 and b = 1 and strength = 3
# SimpleTester3 with a = 0 and b = 1 and strength = 1.1
# SimpleTester4 with a = 1 and b = 0 and strength = 1.1
# SimpleTester5 with a = 1 and b = 1 and strength = 3.1
# SimpleTester6 with a = 1 and b = 2 and strength = 3.1
# SimpleTester7 with a = 2 and b = 1 and strength = 3.1
#
# Lame lambda = 0 (Poisson=0).  Lame mu = 0.5E6
#
# A single element is stretched by 2.1E-6m in y direction and 3E-6 in z direction.
# trial stress_yy = 2.1 and stress_zz = 3.0
#
# This is similar to three_surface14.i, and a description is found there.
# The result should be stress_zz=1=stress_yy, with internal0=2
# and internal1=1.1

[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]


[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
[]

[Kernels]
  [SolidMechanics]
    displacements = 'disp_x disp_y disp_z'
  [../]
[]


[BCs]
  [./x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'front back'
    function = '0E-6*x'
  [../]
  [./y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'front back'
    function = '2.1E-6*y'
  [../]
  [./z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'front back'
    function = '3.0E-6*z'
  [../]
[]

[AuxVariables]
  [./stress_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f0]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f1]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f2]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f3]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f4]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f5]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f6]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f7]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./int0]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./int1]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./int2]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./int3]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./int4]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./int5]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./int6]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./int7]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]

[AuxKernels]
  [./stress_xx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xx
    index_i = 0
    index_j = 0
  [../]
  [./stress_xy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xy
    index_i = 0
    index_j = 1
  [../]
  [./stress_xz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xz
    index_i = 0
    index_j = 2
  [../]
  [./stress_yy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yy
    index_i = 1
    index_j = 1
  [../]
  [./stress_yz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yz
    index_i = 1
    index_j = 2
  [../]
  [./stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zz
    index_i = 2
    index_j = 2
  [../]
  [./f0]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 0
    variable = f0
  [../]
  [./f1]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 1
    variable = f1
  [../]
  [./f2]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 2
    variable = f2
  [../]
  [./f3]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 3
    variable = f3
  [../]
  [./f4]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 4
    variable = f4
  [../]
  [./f5]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 5
    variable = f5
  [../]
  [./f6]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 6
    variable = f6
  [../]
  [./f7]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 7
    variable = f7
  [../]
  [./int0]
    type = MaterialStdVectorAux
    property = plastic_internal_parameter
    factor = 1E6
    index = 0
    variable = int0
  [../]
  [./int1]
    type = MaterialStdVectorAux
    property = plastic_internal_parameter
    factor = 1E6
    index = 1
    variable = int1
  [../]
  [./int2]
    type = MaterialStdVectorAux
    property = plastic_internal_parameter
    factor = 1E6
    index = 2
    variable = int2
  [../]
  [./int3]
    type = MaterialStdVectorAux
    property = plastic_internal_parameter
    factor = 1E6
    index = 3
    variable = int3
  [../]
  [./int4]
    type = MaterialStdVectorAux
    property = plastic_internal_parameter
    factor = 1E6
    index = 4
    variable = int4
  [../]
  [./int5]
    type = MaterialStdVectorAux
    property = plastic_internal_parameter
    factor = 1E6
    index = 5
    variable = int5
  [../]
  [./int6]
    type = MaterialStdVectorAux
    property = plastic_internal_parameter
    factor = 1E6
    index = 6
    variable = int6
  [../]
  [./int7]
    type = MaterialStdVectorAux
    property = plastic_internal_parameter
    factor = 1E6
    index = 7
    variable = int7
  [../]
[]

[Postprocessors]
  [./s_xx]
    type = PointValue
    point = '0 0 0'
    variable = stress_xx
  [../]
  [./s_xy]
    type = PointValue
    point = '0 0 0'
    variable = stress_xy
  [../]
  [./s_xz]
    type = PointValue
    point = '0 0 0'
    variable = stress_xz
  [../]
  [./s_yy]
    type = PointValue
    point = '0 0 0'
    variable = stress_yy
  [../]
  [./s_yz]
    type = PointValue
    point = '0 0 0'
    variable = stress_yz
  [../]
  [./s_zz]
    type = PointValue
    point = '0 0 0'
    variable = stress_zz
  [../]
  [./f0]
    type = PointValue
    point = '0 0 0'
    variable = f0
  [../]
  [./f1]
    type = PointValue
    point = '0 0 0'
    variable = f1
  [../]
  [./f2]
    type = PointValue
    point = '0 0 0'
    variable = f2
  [../]
  [./f3]
    type = PointValue
    point = '0 0 0'
    variable = f3
  [../]
  [./f4]
    type = PointValue
    point = '0 0 0'
    variable = f4
  [../]
  [./f5]
    type = PointValue
    point = '0 0 0'
    variable = f5
  [../]
  [./f6]
    type = PointValue
    point = '0 0 0'
    variable = f6
  [../]
  [./f7]
    type = PointValue
    point = '0 0 0'
    variable = f7
  [../]
  [./int0]
    type = PointValue
    point = '0 0 0'
    variable = int0
  [../]
  [./int1]
    type = PointValue
    point = '0 0 0'
    variable = int1
  [../]
  [./int2]
    type = PointValue
    point = '0 0 0'
    variable = int2
  [../]
  [./int3]
    type = PointValue
    point = '0 0 0'
    variable = int3
  [../]
  [./int4]
    type = PointValue
    point = '0 0 0'
    variable = int4
  [../]
  [./int5]
    type = PointValue
    point = '0 0 0'
    variable = int5
  [../]
  [./int6]
    type = PointValue
    point = '0 0 0'
    variable = int6
  [../]
  [./int7]
    type = PointValue
    point = '0 0 0'
    variable = int7
  [../]
[]

[UserObjects]
  [./simple0]
    type = SolidMechanicsPlasticSimpleTester
    a = 0
    b = 1
    strength = 1
    yield_function_tolerance = 1.0E-6
    internal_constraint_tolerance = 1.0E-6
  [../]
  [./simple1]
    type = SolidMechanicsPlasticSimpleTester
    a = 1
    b = 0
    strength = 1
    yield_function_tolerance = 1.0E-6
    internal_constraint_tolerance = 1.0E-6
  [../]
  [./simple2]
    type = SolidMechanicsPlasticSimpleTester
    a = 1
    b = 1
    strength = 3
    yield_function_tolerance = 1.0E-6
    internal_constraint_tolerance = 1.0E-6
  [../]
  [./simple3]
    type = SolidMechanicsPlasticSimpleTester
    a = 0
    b = 1
    strength = 1.1
    yield_function_tolerance = 1.0E-6
    internal_constraint_tolerance = 1.0E-6
  [../]
  [./simple4]
    type = SolidMechanicsPlasticSimpleTester
    a = 1
    b = 0
    strength = 1.1
    yield_function_tolerance = 1.0E-6
    internal_constraint_tolerance = 1.0E-6
  [../]
  [./simple5]
    type = SolidMechanicsPlasticSimpleTester
    a = 1
    b = 1
    strength = 3.1
    yield_function_tolerance = 1.0E-6
    internal_constraint_tolerance = 1.0E-6
  [../]
  [./simple6]
    type = SolidMechanicsPlasticSimpleTester
    a = 1
    b = 2
    strength = 3.1
    yield_function_tolerance = 1.0E-6
    internal_constraint_tolerance = 1.0E-6
  [../]
  [./simple7]
    type = SolidMechanicsPlasticSimpleTester
    a = 2
    b = 1
    strength = 3.1
    yield_function_tolerance = 1.0E-6
    internal_constraint_tolerance = 1.0E-6
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    block = 0
    fill_method = symmetric_isotropic
    C_ijkl = '0 0.5E6'
  [../]
  [./strain]
    type = ComputeFiniteStrain
    block = 0
    displacements = 'disp_x disp_y disp_z'
  [../]
  [./multi]
    type = ComputeMultiPlasticityStress
    block = 0
    ep_plastic_tolerance = 1E-9
    plastic_models = 'simple0 simple1 simple2 simple3 simple4 simple5 simple6 simple7'
    deactivation_scheme = optimized_to_safe
    max_NR_iterations = 4
    min_stepsize = 1
    debug_fspb = crash
    debug_jac_at_stress = '10 0 0 0 10 0 0 0 10'
    debug_jac_at_pm = '1 1 1'
    debug_jac_at_intnl = '1 1 1'
    debug_stress_change = 1E-5
    debug_pm_change = '1E-6 1E-6 1E-6'
    debug_intnl_change = '1E-6 1E-6 1E-6'
  [../]
[]


[Executioner]
  end_time = 1
  dt = 1
  type = Transient
[]


[Outputs]
  file_base = eight_surface14
  exodus = false
  [./csv]
    type = CSV
    [../]
[]

(modules/fluid_properties/test/tests/ideal_gas/test.i)

[Mesh]
  type = GeneratedMesh
  dim = 2
  nx = 2
  ny = 2
  elem_type = QUAD4
[]

[Functions]
  [./f_fn]
    type = ParsedFunction
    expression = -4
  [../]
  [./bc_fn]
    type = ParsedFunction
    expression = 'x*x+y*y'
  [../]
[]

[Variables]
  [./u]
  [../]
[]

[AuxVariables]
  [./e]
    initial_condition = 6232.5
  [../]
  [./v]
    initial_condition = 0.02493
  [../]

  [./p]
    family = MONOMIAL
    order = CONSTANT
  [../]
  [./T]
    family = MONOMIAL
    order = CONSTANT
  [../]
  [./cp]
    family = MONOMIAL
    order = CONSTANT
  [../]
  [./cv]
    family = MONOMIAL
    order = CONSTANT
  [../]
  [./c]
    family = MONOMIAL
    order = CONSTANT
  [../]
  [./mu]
    family = MONOMIAL
    order = CONSTANT
  [../]
  [./k]
    family = MONOMIAL
    order = CONSTANT
  [../]
  [./g]
    family = MONOMIAL
    order = CONSTANT
  [../]
[]

[AuxKernels]
  [./p]
    type = MaterialRealAux
     variable = p
     property = pressure
  [../]
  [./T]
    type = MaterialRealAux
     variable = T
     property = temperature
  [../]
  [./cp]
    type = MaterialRealAux
     variable = cp
     property = cp
  [../]
  [./cv]
    type = MaterialRealAux
     variable = cv
     property = cv
  [../]
  [./c]
    type = MaterialRealAux
     variable = c
     property = c
  [../]
  [./mu]
    type = MaterialRealAux
     variable = mu
     property = mu
  [../]
  [./k]
    type = MaterialRealAux
     variable = k
     property = k
  [../]
  [./g]
    type = MaterialRealAux
     variable = g
     property = g
  [../]
[]

[FluidProperties]
  [./ideal_gas]
    type = IdealGasFluidProperties
    gamma = 1.4
    molar_mass = 1.000536678700361
  [../]
[]

[Materials]
  [./fp_mat]
    type = FluidPropertiesMaterialVE
    e = e
    v = v
    fp = ideal_gas
  [../]
[]

[Kernels]
  [./diff]
    type = Diffusion
    variable = u
  [../]
  [./ffn]
    type = BodyForce
    variable = u
    function = f_fn
  [../]
[]

[BCs]
  [./all]
    type = FunctionDirichletBC
    variable = u
    boundary = 'left right top bottom'
    function = bc_fn
  [../]
[]

[Executioner]
  type = Steady
  solve_type = NEWTON
[]

[Outputs]
  exodus = true
[]

(test/tests/geomsearch/3d_moving_penetration_smoothing/pl_test3nnstt.i)

[GlobalParams]
  order = FIRST
  family = LAGRANGE
[]

[Mesh]
  file = pl_test3tt.e
  displacements = 'disp_x disp_y disp_z'
[]

[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
[]

[AuxVariables]
  [./distance]
  [../]
  [./tangential_distance]
  [../]
  [./normal_x]
  [../]
  [./normal_y]
  [../]
  [./normal_z]
  [../]
  [./closest_point_x]
  [../]
  [./closest_point_y]
  [../]
  [./closest_point_z]
  [../]
#  [./element_id]
#  [../]
  [./side]
  [../]
[]

[Kernels]
  [./diff_x]
    type = Diffusion
    variable = disp_x
  [../]
  [./diff_y]
    type = Diffusion
    variable = disp_y
  [../]
  [./diff_z]
    type = Diffusion
    variable = disp_z
  [../]
[]

[AuxKernels]
  [./penetrate]
    type = PenetrationAux
    variable = distance
    boundary = 11            #secondary
    paired_boundary = 12     #primary
    tangential_tolerance = 0.09
  [../]

  [./penetrate2]
    type = PenetrationAux
    variable = distance
    boundary = 12            #secondary
    paired_boundary = 11     #primary
    tangential_tolerance = 0.09
    normal_smoothing_method = nodal_normal_based
  [../]

  [./penetrate3]
    type = PenetrationAux
    variable = tangential_distance
    boundary = 11
    paired_boundary = 12
    quantity = tangential_distance
  [../]

  [./penetrate4]
    type = PenetrationAux
    variable = tangential_distance
    boundary = 12
    paired_boundary = 11
    quantity = tangential_distance
  [../]

  [./penetrate5]
    type = PenetrationAux
    variable = normal_x
    boundary = 11
    paired_boundary = 12
    quantity = normal_x
  [../]

  [./penetrate6]
    type = PenetrationAux
    variable = normal_x
    boundary = 12
    paired_boundary = 11
    quantity = normal_x
  [../]

  [./penetrate7]
    type = PenetrationAux
    variable = normal_y
    boundary = 11
    paired_boundary = 12
    quantity = normal_y
  [../]

  [./penetrate8]
    type = PenetrationAux
    variable = normal_y
    boundary = 12
    paired_boundary = 11
    quantity = normal_y
  [../]

  [./penetrate9]
    type = PenetrationAux
    variable = normal_z
    boundary = 11
    paired_boundary = 12
    quantity = normal_z
  [../]

  [./penetrate10]
    type = PenetrationAux
    variable = normal_z
    boundary = 12
    paired_boundary = 11
    quantity = normal_z
  [../]

  [./penetrate11]
    type = PenetrationAux
    variable = closest_point_x
    boundary = 11
    paired_boundary = 12
    quantity = closest_point_x
  [../]

  [./penetrate12]
    type = PenetrationAux
    variable = closest_point_x
    boundary = 12
    paired_boundary = 11
    quantity = closest_point_x
  [../]

  [./penetrate13]
    type = PenetrationAux
    variable = closest_point_y
    boundary = 11
    paired_boundary = 12
    quantity = closest_point_y
  [../]

  [./penetrate14]
    type = PenetrationAux
    variable = closest_point_y
    boundary = 12
    paired_boundary = 11
    quantity = closest_point_y
  [../]

  [./penetrate15]
    type = PenetrationAux
    variable = closest_point_z
    boundary = 11
    paired_boundary = 12
    quantity = closest_point_z
  [../]

  [./penetrate16]
    type = PenetrationAux
    variable = closest_point_z
    boundary = 12
    paired_boundary = 11
    quantity = closest_point_z
  [../]

#  [./penetrate17]
#    type = PenetrationAux
#    variable = element_id
#    boundary = 11
#    paired_boundary = 12
#    quantity = element_id
#  [../]
#
#  [./penetrate18]
#    type = PenetrationAux
#    variable = element_id
#    boundary = 12
#    paired_boundary = 11
#    quantity = element_id
#  [../]

  [./penetrate19]
    type = PenetrationAux
    variable = side
    boundary = 11
    paired_boundary = 12
    quantity = side
  [../]

  [./penetrate20]
    type = PenetrationAux
    variable = side
    boundary = 12
    paired_boundary = 11
    quantity = side
  [../]
[]

[BCs]
  [./b1x]
    type = DirichletBC
    variable = disp_x
    preset = false
    boundary = 1
    value = 0
  [../]

  [./b1y]
    type = DirichletBC
    variable = disp_y
    preset = false
    boundary = 1
    value = 0
  [../]

  [./b1z]
    type = DirichletBC
    variable = disp_z
    preset = false
    boundary = 1
    value = 0
  [../]

  [./b2x]
    type = DirichletBC
    variable = disp_x
    preset = false
    boundary = 2
    value = 0
  [../]

  [./b2y]
    type = FunctionDirichletBC
    variable = disp_y
    preset = false
    boundary = 2
    function = disp_y
  [../]

  [./b2z]
    type = DirichletBC
    variable = disp_z
    preset = false
    boundary = 2
    value = 0
  [../]
[]

[Functions]
  [./disp_y]
    type = PiecewiseLinear
    x = '0.0 0.25 0.75 1.0'
    y = '0.0 2.0 -2.0  0.0'
  [../]
[]

[Executioner]
  type = Transient

  solve_type = 'PJFNK'
  petsc_options = '-snes_ksp_ew'

  nl_rel_tol = 1e-9
  l_max_its = 10

  start_time = 0.0
  dt = 0.02
  end_time = 1.0
[]

[Outputs]
  file_base = pl_test3nnstt_out
  exodus = true
[]

[NodalNormals]
  boundary = 11
  corner_boundary = 20
[]

(test/tests/utils/spline_interpolation/bicubic_spline_interpolation.i)

[Mesh]
  type = GeneratedMesh
  dim = 3
  nz = 1
  nx = 4
  ny = 4
  xmax = 4
  ymax = 4
[]

[Functions]
  [./yx1]
    type = ParsedFunction
    expression = '3*x^2'
  [../]
  [./yx2]
    type = ParsedFunction
    expression = '6*y^2'
  [../]
  [./spline_fn]
    type = BicubicSplineFunction
    x1 = '0 2 4'
    x2 = '0 2 4 6'
    y = '0 16 128 432 8 24 136 440 64 80 192 496'
    yx11 = '0 0 0 0'
    yx1n = '48 48 48 48'
    yx21 = '0 0 0'
    yx2n = '216 216 216'
    yx1 = 'yx1'
    yx2 = 'yx2'
  [../]
  [./u_func]
    type = ParsedFunction
    expression = 'x^3 + 2*y^3'
  [../]
  [./u2_forcing_func]
    type = ParsedFunction
    expression = '-6*x - 12*y'
  [../]
[]

[Variables]
  [./u]
  [../]
[]

[AuxVariables]
  [./bi_func_value]
    order = FIRST
    family = LAGRANGE
  [../]
  [./x_deriv]
    order = FIRST
    family = LAGRANGE
  [../]
  [./y_deriv]
    order = FIRST
    family = LAGRANGE
  [../]
[]

[AuxKernels]
  [./bi_func_value]
    type = FunctionAux
    variable = bi_func_value
    function = spline_fn
  [../]
  [./deriv_1]
    type = FunctionDerivativeAux
    function = spline_fn
    variable = x_deriv
    component = x
  [../]
  [./deriv_2]
    type = FunctionDerivativeAux
    function = spline_fn
    variable = y_deriv
    component = y
  [../]
[]

[Kernels]
  [./diff]
    type = Diffusion
    variable = u
  [../]
  [./body_force]
    type = BodyForce
    variable = u
    function = u2_forcing_func
  [../]
[]

[BCs]
  [./sides]
    type = FunctionDirichletBC
    variable = u
    boundary = '0 1 2 3'
    function = u_func
  [../]
[]

[Postprocessors]
  [./nodal_l2_err_spline]
    type = NodalL2Error
    variable = u
    function = spline_fn
    execute_on = 'initial timestep_end'
  [../]
  [./nodal_l2_err_analytic]
    type = NodalL2Error
    variable = u
    function = u_func
    execute_on = 'initial timestep_end'
  [../]
  [./x_deriv_err_analytic]
    type = NodalL2Error
    variable = x_deriv
    function = yx1
    execute_on = 'initial timestep_end'
  [../]
  [./y_deriv_err_analytic]
    type = NodalL2Error
    variable = y_deriv
    function = yx2
    execute_on = 'initial timestep_end'
  [../]
[]

[Executioner]
  type = Steady
  solve_type = NEWTON
[]

[Outputs]
  exodus = true
[]

(modules/solid_mechanics/test/tests/mohr_coulomb/uni_axial3_planar.i)

# same as uni_axial2 but with planar mohr-coulomb
[Mesh]
  type = FileMesh
  file = quarter_hole.e
[]

[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
[]

[Kernels]
  [SolidMechanics]
    displacements = 'disp_x disp_y disp_z'
  [../]
[]


[BCs]
  [./zmin_zzero]
    type = DirichletBC
    variable = disp_z
    boundary = 'zmin'
    value = '0'
  [../]
  [./xmin_xzero]
    type = DirichletBC
    variable = disp_x
    boundary = 'xmin'
    value = '0'
  [../]
  [./ymin_yzero]
    type = DirichletBC
    variable = disp_y
    boundary = 'ymin'
    value = '0'
  [../]
  [./ymax_disp]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'ymax'
    function = '-1E-4*t'
  [../]
[]

[AuxVariables]
  [./stress_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./mc_int]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./yield_fcn]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]

[AuxKernels]
  [./stress_xx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xx
    index_i = 0
    index_j = 0
  [../]
  [./stress_xy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xy
    index_i = 0
    index_j = 1
  [../]
  [./stress_xz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xz
    index_i = 0
    index_j = 2
  [../]
  [./stress_yy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yy
    index_i = 1
    index_j = 1
  [../]
  [./stress_yz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yz
    index_i = 1
    index_j = 2
  [../]
  [./stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zz
    index_i = 2
    index_j = 2
  [../]
  [./mc_int_auxk]
    type = MaterialStdVectorAux
    index = 0
    property = plastic_internal_parameter
    variable = mc_int
  [../]
  [./yield_fcn_auxk]
    type = MaterialStdVectorAux
    index = 0
    property = plastic_yield_function
    variable = yield_fcn
  [../]
[]

[Postprocessors]
  [./s_xx]
    type = PointValue
    point = '0.005 0.02 0.002'
    variable = stress_xx
  [../]
  [./s_xy]
    type = PointValue
    point = '0.005 0.02 0.002'
    variable = stress_xy
  [../]
  [./s_xz]
    type = PointValue
    point = '0.005 0.02 0.002'
    variable = stress_xz
  [../]
  [./s_yy]
    type = PointValue
    point = '0.005 0.02 0.002'
    variable = stress_yy
  [../]
  [./s_yz]
    type = PointValue
    point = '0.005 0.02 0.002'
    variable = stress_yz
  [../]
  [./s_zz]
    type = PointValue
    point = '0.005 0.02 0.002'
    variable = stress_zz
  [../]
  [./f]
    type = PointValue
    point = '0.005 0.02 0.002'
    variable = yield_fcn
  [../]
[]

[UserObjects]
  [./coh]
    type = SolidMechanicsHardeningConstant
    value = 1E7
  [../]
  [./fric]
    type = SolidMechanicsHardeningConstant
    value = 40
    convert_to_radians = true
  [../]
  [./dil]
    type = SolidMechanicsHardeningConstant
    value = 40
    convert_to_radians = true
  [../]

  [./mc]
    type = SolidMechanicsPlasticMohrCoulombMulti
    cohesion = coh
    friction_angle = fric
    dilation_angle = dil
    yield_function_tolerance = 1.0 # THIS IS HIGHER THAN THE SMOOTH CASE TO AVOID PRECISION-LOSS PROBLEMS!
    shift =  1.0
    use_custom_returnMap = false
    internal_constraint_tolerance = 1E-9
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    block = 1
    fill_method = symmetric_isotropic
    C_ijkl = '0 5E9' # young = 10Gpa, poisson = 0.0
  [../]
  [./strain]
    type = ComputeIncrementalStrain
    block = 1
    displacements = 'disp_x disp_y disp_z'
  [../]
  [./mc]
    type = ComputeMultiPlasticityStress
    block = 1
    ep_plastic_tolerance = 1E-9
    plastic_models = mc
    max_NR_iterations = 100
    deactivation_scheme = 'safe'
    min_stepsize = 1
    max_stepsize_for_dumb = 1
    debug_fspb = crash
  [../]
[]

# Preconditioning and Executioner options kindly provided by Andrea
[Preconditioning]
  [./andy]
    type = SMP
    full = true
  [../]
[]


[Executioner]
  end_time = 1.05
  dt = 0.1
  solve_type = NEWTON
  type = Transient
[]


[Outputs]
  file_base = uni_axial3_planar
  [./exodus]
    type = Exodus
    hide = 'stress_xx stress_xy stress_xz stress_yy stress_yz stress_zz yield_fcn s_xx s_xy s_xz s_yy s_yz s_zz f'
  [../]
  [./csv]
    type = CSV
    time_step_interval = 1
  [../]
[]

(modules/solid_mechanics/test/tests/crystal_plasticity/user_object_based/substep.i)

[Mesh]
  type = GeneratedMesh
  dim = 3
  elem_type = HEX8
  displacements = 'ux uy uz'
[]

[Variables]
  [./ux]
    block = 0
  [../]
  [./uy]
    block = 0
  [../]
  [./uz]
    block = 0
  [../]
[]

[AuxVariables]
  [./stress_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./fp_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./e_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./gss]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]

[Functions]
  [./tdisp]
    type = ParsedFunction
    expression = 0.01*t
  [../]
[]

[Kernels]
  [SolidMechanics]
    displacements = 'ux uy uz'
    use_displaced_mesh = true
  [../]
[]

[AuxKernels]
  [./stress_zz]
    type = RankTwoAux
    variable = stress_zz
    rank_two_tensor = stress
    index_j = 2
    index_i = 2
    execute_on = timestep_end
  [../]
  [./fp_zz]
    type = RankTwoAux
    variable = fp_zz
    rank_two_tensor = fp
    index_j = 2
    index_i = 2
    execute_on = timestep_end
  [../]
  [./e_zz]
    type = RankTwoAux
    variable = e_zz
    rank_two_tensor = lage
    index_j = 2
    index_i = 2
    execute_on = timestep_end
  [../]
  [./gss]
    type = MaterialStdVectorAux
    variable = gss
    property = state_var_gss
    index = 0
    execute_on = timestep_end
  [../]
[]

[BCs]
  [./symmy]
    type = DirichletBC
    variable = uy
    boundary = bottom
    value = 0
  [../]
  [./symmx]
    type = DirichletBC
    variable = ux
    boundary = left
    value = 0
  [../]
  [./symmz]
    type = DirichletBC
    variable = uz
    boundary = back
    value = 0
  [../]
  [./tdisp]
    type = FunctionDirichletBC
    variable = uz
    boundary = front
    function = tdisp
  [../]
[]

[UserObjects]
  [./slip_rate_gss]
    type = CrystalPlasticitySlipRateGSS
    variable_size = 12
    slip_sys_file_name = input_slip_sys.txt
    num_slip_sys_flowrate_props = 2
    flowprops = '1 4 0.001 0.1 5 8 0.001 0.1 9 12 0.001 0.1'
    uo_state_var_name = state_var_gss
  [../]
  [./slip_resistance_gss]
    type = CrystalPlasticitySlipResistanceGSS
    variable_size = 12
    uo_state_var_name = state_var_gss
  [../]
  [./state_var_gss]
    type = CrystalPlasticityStateVariable
    variable_size = 12
    groups = '0 4 8 12'
    group_values = '60.8 60.8 60.8'
    uo_state_var_evol_rate_comp_name = state_var_evol_rate_comp_gss
    scale_factor = 1.0
  [../]
  [./state_var_evol_rate_comp_gss]
    type = CrystalPlasticityStateVarRateComponentGSS
    variable_size = 12
    hprops = '1.0 541.5 109.8 2.5'
    uo_slip_rate_name = slip_rate_gss
    uo_state_var_name = state_var_gss
  [../]
[]

[Materials]
  [./crysp]
    type = FiniteStrainUObasedCP
    block = 0
    stol = 1e-2
    tan_mod_type = exact
    maximum_substep_iteration = 10
    uo_slip_rates = 'slip_rate_gss'
    uo_slip_resistances = 'slip_resistance_gss'
    uo_state_vars = 'state_var_gss'
    uo_state_var_evol_rate_comps = 'state_var_evol_rate_comp_gss'
  [../]
  [./strain]
    type = ComputeFiniteStrain
    block = 0
    displacements = 'ux uy uz'
  [../]
  [./elasticity_tensor]
    type = ComputeElasticityTensorCP
    block = 0
    C_ijkl = '1.684e5 1.214e5 1.214e5 1.684e5 1.214e5 1.684e5 0.754e5 0.754e5 0.754e5'
    fill_method = symmetric9
  [../]

[]

[Postprocessors]
  [./stress_zz]
    type = ElementAverageValue
    variable = stress_zz
    block = 'ANY_BLOCK_ID 0'
  [../]
  [./fp_zz]
    type = ElementAverageValue
    variable = fp_zz
    block = 'ANY_BLOCK_ID 0'
  [../]
  [./e_zz]
    type = ElementAverageValue
    variable = e_zz
    block = 'ANY_BLOCK_ID 0'
  [../]
  [./gss]
    type = ElementAverageValue
    variable = gss
    block = 'ANY_BLOCK_ID 0'
  [../]
[]

[Preconditioning]
  [./smp]
    type = SMP
    full = true
  [../]
[]

[Executioner]
  type = Transient
  dt = 2.0
  solve_type = 'PJFNK'

  petsc_options_iname = -pc_hypre_type
  petsc_options_value = boomerang
  nl_abs_tol = 1e-10
  nl_rel_step_tol = 1e-10
  dtmax = 10.0
  nl_rel_tol = 1e-10
  end_time = 30.0
  dtmin = 0.5
  num_steps = 10
  nl_abs_step_tol = 1e-10
[]

[Outputs]
  exodus = true
  csv = true
  gnuplot = true
[]

(modules/heat_transfer/test/tests/heat_conduction/3d_quadrature_gap_heat_transfer/moving.i)

[Mesh]
  file = nonmatching.e
  displacements = 'disp_x disp_y disp_z'
[]

[Variables]
  [temp]
  []
[]

[AuxVariables]
  [disp_x]
  []
  [disp_y]
  []
  [disp_z]
  []
[]

[Functions]
  [disp_y]
    type = ParsedFunction
    expression = 0.1*t
  []
  [left_temp]
    type = ParsedFunction
    expression = 1000+t
  []
[]

[Kernels]
  [hc]
    type = HeatConduction
    variable = temp
  []
[]

[AuxKernels]
  [disp_y]
    type = FunctionAux
    variable = disp_y
    function = disp_y
    block = left
    execute_on = 'INITIAL TIMESTEP_BEGIN'
  []
[]

[BCs]
  [left]
    type = FunctionDirichletBC
    variable = temp
    boundary = leftleft
    function = left_temp
  []
  [right]
    type = DirichletBC
    variable = temp
    boundary = rightright
    value = 400
  []
[]

[ThermalContact]
  [left_to_right]
    type = GapHeatTransfer
    variable = temp
    primary = rightleft
    secondary = leftright
    emissivity_primary = 0
    emissivity_secondary = 0
    quadrature = true
  []
[]

[Materials]
  [hcm]
    type = HeatConductionMaterial
    block = 'left right'
    specific_heat = 1
    thermal_conductivity = 1
    use_displaced_mesh = true
  []
[]

[Postprocessors]
  [left]
    type = SideDiffusiveFluxIntegral
    variable = temp
    boundary = leftright
    diffusivity = thermal_conductivity
  []
  [right]
    type = SideDiffusiveFluxIntegral
    variable = temp
    boundary = rightleft
    diffusivity = thermal_conductivity
  []
[]

[Executioner]
  type = Transient
  num_steps = 9
  dt = 1

  #Preconditioned JFNK (default)
  solve_type = 'PJFNK'

  petsc_options_iname = '-pc_type -pc_hypre_type'
  petsc_options_value = 'hypre boomeramg'
[]

[Outputs]
  exodus = true
[]

(modules/solid_mechanics/test/tests/crystal_plasticity/monolithic_material_based/rot-eg1.i)

#
# Rotation Test
#
# This test is designed to compute a uniaxial stress and then follow that
# stress as the mesh is rotated 90 degrees.
#
# The mesh is composed of one block with a single element.  The nodal
# displacements in the x and y directions are prescribed.  Poisson's
# ratio is zero.
#

[Mesh]
  [gen]
    type = GeneratedMeshGenerator
    dim = 3
    elem_type = HEX8
    displacements = 'ux uy uz'
  []
  [./side1n1]
    input = gen
    type = ExtraNodesetGenerator
    coord = '0.0 0.0 0.0'
    boundary = 6
  [../]
  [./side1n2]
    input = side1n1
    type = ExtraNodesetGenerator
    coord = '1.0 0.0 0.0'
    boundary = 7
  [../]
  [./side2n1]
    input = side1n2
    type = ExtraNodesetGenerator
    coord = '0.0 1.0 0.0'
    boundary = 8
  [../]
  [./side2n2]
    input = side2n1
    type = ExtraNodesetGenerator
    coord = '1.0 1.0 0.0'
    boundary = 9
  [../]
  [./side3n1]
    input = side2n2
    type = ExtraNodesetGenerator
    coord = '0.0 1.0 1.0'
    boundary = 10
  [../]
  [./side3n2]
    input = side3n1
    type = ExtraNodesetGenerator
    coord = '1.0 1.0 1.0'
    boundary = 11
  [../]
  [./side4n1]
    input = side3n2
    type = ExtraNodesetGenerator
    coord = '0.0 0.0 1.0'
    boundary = 12
  [../]
  [./side4n2]
    input = side4n1
    type = ExtraNodesetGenerator
    coord = '1.0 0.0 1.0'
    boundary = 13
  [../]
[]

[Variables]
  [./ux]
    block = 0
  [../]
  [./uy]
    block = 0
  [../]
  [./uz]
    block = 0
  [../]
[]

[Functions]
  [./side2uxfunc]
    type = ParsedFunction
    expression = cos(pi/2*t)-1
  [../]
  [./side2uyfunc]
    type = ParsedFunction
    expression = sin(pi/2*t)
  [../]
  [./side3uxfunc]
    type = ParsedFunction
    expression = cos(pi/2*t)-sin(pi/2*t)-1
  [../]
  [./side3uyfunc]
    type = ParsedFunction
    expression = cos(pi/2*t)+sin(pi/2*t)-1
  [../]
  [./side4uxfunc]
    type = ParsedFunction
    expression = -sin(pi/2*t)
  [../]
  [./side4uyfunc]
    type = ParsedFunction
    expression = cos(pi/2*t)-1
  [../]
[]

[BCs]
  active = 'bcside1 bcside2ux bcside2uy bcside4ux bcside4uy bcside3uy bcside3ux bcx'
  [./bcside1]
    type = DirichletBC
    variable = 'uy uz'
    boundary = '6 7'
    value = 0
  [../]
  [./bcside2ux]
    type = FunctionDirichletBC
    variable = uy
    boundary = '8 9'
    function = side2uxfunc
  [../]
  [./bcside2uy]
    type = FunctionDirichletBC
    variable = uz
    boundary = '8 9'
    function = side2uyfunc
  [../]
  [./bcside3ux]
    type = FunctionDirichletBC
    variable = uy
    boundary = '10 11'
    function = side3uxfunc
  [../]
  [./bcside3uy]
    type = FunctionDirichletBC
    variable = uz
    boundary = '10 11'
    function = side3uyfunc
  [../]
  [./bcside4ux]
    type = FunctionDirichletBC
    variable = uy
    boundary = '12 13'
    function = side4uxfunc
  [../]
  [./bcside4uy]
    type = FunctionDirichletBC
    variable = uz
    boundary = '12 13'
    function = side4uyfunc
  [../]
  [./bot]
    type = DirichletBC
    variable = 'ux uy uz'
    boundary = back
    value = 0
  [../]
  [./topxz]
    type = DirichletBC
    variable = 'ux uz'
    boundary = front
    value = 0
  [../]
  [./topy]
    type = DirichletBC
    variable = uy
    boundary = front
    value = 1
  [../]
  [./bcx]
    type = DirichletBC
    variable = ux
    boundary = '6 7 8 9 10 11 12 13'
    value = 0
  [../]
[]

[Materials]
  [./crysp]
    type = FiniteStrainCrystalPlasticity
    block = 0
    disp_y = uy
    disp_x = ux
    slip_sys_file_name = input_slip_sys.txt
    disp_z = uz
    flowprops = ' 1 12 0.001 0.1'
    C_ijkl = '1.684e5 1.214e5 1.214e5 1.684e5 1.214e5 1.684e5 .754e5 .754e5 .754e5'
    nss = 12
    hprops = '1 541.5 60.8 109.8'
    gprops = '1 12 60.8'
    fill_method = symmetric9
  [../]
[]

[Preconditioning]
  [./smp]
    type = SMP
    full = true
  [../]
[]

[Executioner]
  type = Transient
  dt = 0.01

  #Preconditioned JFNK (default)
  solve_type = 'PJFNK'



  petsc_options_iname = -pc_hypre_type
  petsc_options_value = boomerang
  dtmax = 0.01
  end_time = 1
  dtmin = 0.01
[]

[Outputs]
  file_base = rot_eg1
  solution_history = true
  [./exodus]
    type = Exodus
    use_displaced = true
  [../]
[]

[SolidMechanics]
  [./tensormech]
    disp_z = uz
    disp_y = uy
    disp_x = ux
  [../]
[]

(modules/contact/test/tests/pdass_problems/ironing_penalty_al.i)

[GlobalParams]
  volumetric_locking_correction = true
  displacements = 'disp_x disp_y'
[]

[Mesh]
  [input_file]
    type = FileMeshGenerator
    file = iron.e
  []
  [secondary]
    type = LowerDBlockFromSidesetGenerator
    new_block_id = 10001
    new_block_name = 'secondary_lower'
    sidesets = '10'
    input = input_file
  []
  [primary]
    type = LowerDBlockFromSidesetGenerator
    new_block_id = 10000
    sidesets = '20'
    new_block_name = 'primary_lower'
    input = secondary
  []
  patch_update_strategy = auto
  patch_size = 20
  allow_renumbering = false
[]

[Variables]
  [disp_x]
  []
  [disp_y]
  []
[]

[AuxVariables]
  [penalty_normal_pressure]
    order = FIRST
    family = LAGRANGE
  []
  [penalty_frictional_pressure]
    order = FIRST
    family = LAGRANGE
  []
  [accumulated_slip_one]
    order = FIRST
    family = LAGRANGE
  []
  [tangential_vel_one]
    order = FIRST
    family = LAGRANGE
  []
  [real_weighted_gap]
    order = FIRST
    family = LAGRANGE
  []
  [stress_xx]
    order = CONSTANT
    family = MONOMIAL
  []
  [stress_yy]
    order = CONSTANT
    family = MONOMIAL
  []
  [stress_xy]
    order = CONSTANT
    family = MONOMIAL
  []
  [saved_x]
  []
  [saved_y]
  []
  [diag_saved_x]
  []
  [diag_saved_y]
  []
  [von_mises]
    order = CONSTANT
    family = MONOMIAL
  []
[]

[Functions]
  [disp_ramp_vert]
    type = PiecewiseLinear
    x = '0. 2. 8.'
    y = '0. -1.0 -1.0'
  []
  [disp_ramp_horz]
    type = PiecewiseLinear
    x = '0. 8.'
    y = '0. 8.'
  []
[]

[Kernels]
  [TensorMechanics]
    use_displaced_mesh = true
    save_in = 'saved_x saved_y'
    block = '1 2'
    strain = FINITE
  []
[]

[AuxKernels]
  [penalty_normal_pressure_auxk]
    type = PenaltyMortarUserObjectAux
    variable = penalty_normal_pressure
    user_object = friction_uo
    contact_quantity = normal_pressure
  []
  [penalty_frictional_pressure_auxk]
    type = PenaltyMortarUserObjectAux
    variable = penalty_frictional_pressure
    user_object = friction_uo
    contact_quantity = tangential_pressure_one
  []
  [penalty_accumulated_slip_auxk]
    type = PenaltyMortarUserObjectAux
    variable = accumulated_slip_one
    user_object = friction_uo
    contact_quantity = accumulated_slip_one
  []
  [penalty_tangential_vel_auxk]
    type = PenaltyMortarUserObjectAux
    variable = tangential_vel_one
    user_object = friction_uo
    contact_quantity = tangential_velocity_one
  []
  [real_weighted_gap_auxk]
    type = PenaltyMortarUserObjectAux
    variable = real_weighted_gap
    user_object = friction_uo
    contact_quantity = normal_gap
  []
  [stress_xx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xx
    index_i = 0
    index_j = 0
    execute_on = timestep_end
    block = '1 2'
  []
  [stress_yy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yy
    index_i = 1
    index_j = 1
    execute_on = timestep_end
    block = '1 2'
  []
  [stress_xy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xy
    index_i = 0
    index_j = 1
    execute_on = timestep_end
    block = '1 2'
  []
  [von_mises_kernel]
    #Calculates the von mises stress and assigns it to von_mises
    type = RankTwoScalarAux
    variable = von_mises
    rank_two_tensor = stress
    execute_on = timestep_end
    scalar_type = VonMisesStress
    block = '1 2'
  []
[]

# [VectorPostprocessors]
#   [penalty_normal_pressure]
#     type = NodalValueSampler
#     variable = penalty_normal_pressure
#     boundary = 10
#     sort_by = id
#   []
# []

[Postprocessors]
  [num_nl]
    type = NumNonlinearIterations
  []
  [cumulative]
    type = CumulativeValuePostprocessor
    postprocessor = num_nl
  []
  [force_x]
    type = NodalSum
    boundary = 30
    variable = saved_x
  []
  [force_y]
    type = NodalSum
    boundary = 30
    variable = saved_y
  []
  [gap]
    type = SideExtremeValue
    value_type = min
    variable = real_weighted_gap
    boundary = 10
  []
  [num_al]
    type = NumAugmentedLagrangeIterations
  []
[]

[BCs]
  [bot_x_disp]
    type = DirichletBC
    variable = disp_x
    boundary = '40'
    value = 0.0
    preset = false
  []
  [bot_y_disp]
    type = DirichletBC
    variable = disp_y
    boundary = '40'
    value = 0.0
    preset = false
  []
  [top_y_disp]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = '30'
    function = disp_ramp_vert
    preset = false
  []
  [top_x_disp]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = '30'
    function = disp_ramp_horz
    preset = false
  []
[]

[Materials]
  [stuff1_elas_tens]
    type = ComputeIsotropicElasticityTensor
    block = '2'
    youngs_modulus = 6896
    poissons_ratio = 0.32
  []
  [stuff1_strain]
    type = ComputeFiniteStrain
    block = '2'
  []
  [stuff1_stress]
    type = ComputeFiniteStrainElasticStress
    block = '2'
  []
  [stuff2_elas_tens]
    type = ComputeIsotropicElasticityTensor
    block = '1'
    youngs_modulus = 689.6
    poissons_ratio = 0.32
  []
  [stuff2_strain]
    type = ComputeFiniteStrain
    block = '1'
  []
  [stuff2_stress]
    type = ComputeFiniteStrainElasticStress
    block = '1'
  []
[]

[Executioner]
  type = Transient
  solve_type = 'PJFNK'

  petsc_options = '-snes_ksp_ew'
  petsc_options_iname = '-pc_type -pc_factor_mat_solver_type'
  petsc_options_value = 'lu     superlu_dist'
  line_search = 'none'

  nl_abs_tol = 1e-7
  nl_rel_tol = 1e-7
  l_tol = 1e-6

  l_max_its = 7
  nl_max_its = 300

  start_time = 0.0
  end_time = 6.5

  dt = 0.0125
  dtmin = 1e-5
  [Predictor]
    type = SimplePredictor
    scale = 1.0
  []
[]

[Preconditioning]
  [SMP]
    type = SMP
    full = true
  []
[]

[Outputs]
  print_linear_residuals = true
  perf_graph = true
  exodus = true
  csv = true
  # [chkfile]
  #   type = CSV
  #   start_time = 0.0
  #   execute_vector_postprocessors_on = FINAL
  # []

  [console]
    type = Console
    max_rows = 5
  []
[]

[Debug]
  show_var_residual_norms = true
[]

[Problem]
  type = AugmentedLagrangianContactFEProblem
[]

[UserObjects]
  [friction_uo]
    type = PenaltyFrictionUserObject
    primary_boundary = 20
    secondary_boundary = 10
    primary_subdomain = 10000
    secondary_subdomain = 10001
    disp_x = disp_x
    disp_y = disp_y
    friction_coefficient = 0.4 # with 2.0 works
    secondary_variable = disp_x
    penalty = 5e5
    penalty_friction = 1e4
    slip_tolerance = 1e-05
    penetration_tolerance = 1e-03
  []
[]

[Constraints]
  [x]
    type = NormalMortarMechanicalContact
    primary_boundary = 20
    secondary_boundary = 10
    primary_subdomain = 10000
    secondary_subdomain = 10001
    secondary_variable = disp_x
    component = x
    use_displaced_mesh = true
    compute_lm_residuals = false
    weighted_gap_uo = friction_uo
  []
  [y]
    type = NormalMortarMechanicalContact
    primary_boundary = 20
    secondary_boundary = 10
    primary_subdomain = 10000
    secondary_subdomain = 10001
    secondary_variable = disp_y
    component = y
    use_displaced_mesh = true
    compute_lm_residuals = false
    weighted_gap_uo = friction_uo
  []
  [t_x]
    type = TangentialMortarMechanicalContact
    primary_boundary = 20
    secondary_boundary = 10
    primary_subdomain = 10000
    secondary_subdomain = 10001
    secondary_variable = disp_x
    component = x
    use_displaced_mesh = true
    compute_lm_residuals = false
    weighted_velocities_uo = friction_uo
  []
  [t_y]
    type = TangentialMortarMechanicalContact
    primary_boundary = 20
    secondary_boundary = 10
    primary_subdomain = 10000
    secondary_subdomain = 10001
    secondary_variable = disp_y
    component = y
    use_displaced_mesh = true
    compute_lm_residuals = false
    weighted_velocities_uo = friction_uo
  []
[]

(modules/contact/test/tests/3d-mortar-contact/frictional-mortar-3d-penalty.i)

starting_point = 0.25
offset = 0.00

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
  volumetric_locking_correction = true
[]

[AuxVariables]
  [penalty_normal_pressure]
    order = FIRST
    family = LAGRANGE
  []
  [penalty_frictional_pressure_one]
    order = FIRST
    family = LAGRANGE
  []
  [accumulated_slip_one]
    order = FIRST
    family = LAGRANGE
  []
  [penalty_frictional_pressure_two]
    order = FIRST
    family = LAGRANGE
  []
  [accumulated_slip_two]
    order = FIRST
    family = LAGRANGE
  []
[]

[AuxKernels]
  [penalty_normal_pressure_auxk]
    type = PenaltyMortarUserObjectAux
    variable = penalty_normal_pressure
    user_object = friction_uo
    contact_quantity = normal_pressure
  []
  [penalty_frictional_pressure_one_auxk]
    type = PenaltyMortarUserObjectAux
    variable = penalty_frictional_pressure_one
    user_object = friction_uo
    contact_quantity = tangential_pressure_one
  []
  [penalty_accumulated_slip_auxk]
    type = PenaltyMortarUserObjectAux
    variable = accumulated_slip_one
    user_object = friction_uo
    contact_quantity = accumulated_slip_one
  []
  [penalty_frictional_pressure_two_auxk]
    type = PenaltyMortarUserObjectAux
    variable = penalty_frictional_pressure_two
    user_object = friction_uo
    contact_quantity = tangential_pressure_two
  []
  [penalty_accumulated_slip_two_auxk]
    type = PenaltyMortarUserObjectAux
    variable = accumulated_slip_two
    user_object = friction_uo
    contact_quantity = accumulated_slip_two
  []
[]

[Mesh]
  [top_block]
    type = GeneratedMeshGenerator
    dim = 3
    nx = 3
    ny = 3
    nz = 3
    xmin = -0.25
    xmax = 0.25
    ymin = -0.25
    ymax = 0.25
    zmin = -0.25
    zmax = 0.25
    elem_type = HEX8
  []
  [rotate_top_block]
    type = TransformGenerator
    input = top_block
    transform = ROTATE
    vector_value = '0 0 0'
  []
  [top_block_sidesets]
    type = RenameBoundaryGenerator
    input = rotate_top_block
    old_boundary = '0 1 2 3 4 5'
    new_boundary = 'top_bottom top_back top_right top_front top_left top_top'
  []
  [top_block_id]
    type = SubdomainIDGenerator
    input = top_block_sidesets
    subdomain_id = 1
  []
  [bottom_block]
    type = GeneratedMeshGenerator
    dim = 3
    nx = 10
    ny = 10
    nz = 2
    xmin = -.5
    xmax = .5
    ymin = -.5
    ymax = .5
    zmin = -.3
    zmax = -.25
    elem_type = HEX8
  []
  [bottom_block_id]
    type = SubdomainIDGenerator
    input = bottom_block
    subdomain_id = 2
  []
  [bottom_block_change_boundary_id]
    type = RenameBoundaryGenerator
    input = bottom_block_id
    old_boundary = '0 1 2 3 4 5'
    new_boundary = '100 101 102 103 104 105'
  []
  [combined]
    type = MeshCollectionGenerator
    inputs = 'top_block_id bottom_block_change_boundary_id'
  []
  [block_rename]
    type = RenameBlockGenerator
    input = combined
    old_block = '1 2'
    new_block = 'top_block bottom_block'
  []
  [bottom_right_sideset]
    type = SideSetsAroundSubdomainGenerator
    input = block_rename
    new_boundary = bottom_right
    block = bottom_block
    normal = '1 0 0'
  []
  [bottom_left_sideset]
    type = SideSetsAroundSubdomainGenerator
    input = bottom_right_sideset
    new_boundary = bottom_left
    block = bottom_block
    normal = '-1 0 0'
  []
  [bottom_top_sideset]
    type = SideSetsAroundSubdomainGenerator
    input = bottom_left_sideset
    new_boundary = bottom_top
    block = bottom_block
    normal = '0 0 1'
  []
  [bottom_bottom_sideset]
    type = SideSetsAroundSubdomainGenerator
    input = bottom_top_sideset
    new_boundary = bottom_bottom
    block = bottom_block
    normal = '0  0 -1'
  []
  [bottom_front_sideset]
    type = SideSetsAroundSubdomainGenerator
    input = bottom_bottom_sideset
    new_boundary = bottom_front
    block = bottom_block
    normal = '0 1 0'
  []
  [bottom_back_sideset]
    type = SideSetsAroundSubdomainGenerator
    input = bottom_front_sideset
    new_boundary = bottom_back
    block = bottom_block
    normal = '0 -1 0'
  []
  [secondary]
    input = bottom_back_sideset
    type = LowerDBlockFromSidesetGenerator
    sidesets = 'top_bottom' # top_back top_left'
    new_block_id = '10001'
    new_block_name = 'secondary_lower'
  []
  [primary]
    input = secondary
    type = LowerDBlockFromSidesetGenerator
    sidesets = 'bottom_top'
    new_block_id = '10000'
    new_block_name = 'primary_lower'
  []
  allow_renumbering = false
[]

[Variables]

[]

[Physics/SolidMechanics/QuasiStatic]
  [all]
    add_variables = true
    strain = FINITE
    block = '1 2'
    use_automatic_differentiation = false
    generate_output = 'stress_xx stress_xy stress_xz stress_yy stress_zz'
  []
[]

[Materials]
  [tensor]
    type = ComputeIsotropicElasticityTensor
    block = '1'
    youngs_modulus = 1.0e5
    poissons_ratio = 0.0
  []
  [stress]
    type = ComputeFiniteStrainElasticStress
    block = '1'
  []

  [tensor_1000]
    type = ComputeIsotropicElasticityTensor
    block = '2'
    youngs_modulus = 1e5
    poissons_ratio = 0.0
  []
  [stress_1000]
    type = ComputeFiniteStrainElasticStress
    block = '2'
  []
[]

# Other object should mix formulations
[UserObjects]
  [friction_uo]
    type = PenaltyFrictionUserObject
    primary_boundary = 'bottom_top'
    secondary_boundary = 'top_bottom'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    disp_x = disp_x
    disp_y = disp_y
    disp_z = disp_z
    friction_coefficient = 0.4
    secondary_variable = disp_x
    penalty = 1e8
    penalty_friction = 5e6
  []
[]

[Constraints]
  [normal_x]
    type = NormalMortarMechanicalContact
    primary_boundary = 'bottom_top'
    secondary_boundary = 'top_bottom'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    secondary_variable = disp_x
    component = x
    use_displaced_mesh = true
    compute_lm_residuals = false
    weighted_gap_uo = friction_uo
  []
  [normal_y]
    type = NormalMortarMechanicalContact
    primary_boundary = 'bottom_top'
    secondary_boundary = 'top_bottom'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    secondary_variable = disp_y
    component = y
    use_displaced_mesh = true
    compute_lm_residuals = false
    weighted_gap_uo = friction_uo
  []
  [normal_z]
    type = NormalMortarMechanicalContact
    primary_boundary = 'bottom_top'
    secondary_boundary = 'top_bottom'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    secondary_variable = disp_z
    component = z
    use_displaced_mesh = true
    compute_lm_residuals = false
    weighted_gap_uo = friction_uo
  []
  [tangential_x]
    type = TangentialMortarMechanicalContact
    primary_boundary = 'bottom_top'
    secondary_boundary = 'top_bottom'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    secondary_variable = disp_x
    component = x
    use_displaced_mesh = true
    compute_lm_residuals = false
    weighted_velocities_uo = friction_uo
  []
  [tangential_y]
    type = TangentialMortarMechanicalContact
    primary_boundary = 'bottom_top'
    secondary_boundary = 'top_bottom'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    secondary_variable = disp_y
    component = y
    use_displaced_mesh = true
    compute_lm_residuals = false
    weighted_velocities_uo = friction_uo
  []
  [tangential_z]
    type = TangentialMortarMechanicalContact
    primary_boundary = 'bottom_top'
    secondary_boundary = 'top_bottom'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    secondary_variable = disp_z
    component = z
    use_displaced_mesh = true
    compute_lm_residuals = false
    weighted_velocities_uo = friction_uo
  []
  [tangential_dir_x]
    type = TangentialMortarMechanicalContact
    primary_boundary = 'bottom_top'
    secondary_boundary = 'top_bottom'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    secondary_variable = disp_x
    component = x
    direction = direction_2
    use_displaced_mesh = true
    compute_lm_residuals = false
    weighted_velocities_uo = friction_uo
  []
  [tangential_dir_y]
    type = TangentialMortarMechanicalContact
    primary_boundary = 'bottom_top'
    secondary_boundary = 'top_bottom'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    secondary_variable = disp_y
    component = y
    direction = direction_2
    use_displaced_mesh = true
    compute_lm_residuals = false
    weighted_velocities_uo = friction_uo
  []
  [tangential_dir_z]
    type = TangentialMortarMechanicalContact
    primary_boundary = 'bottom_top'
    secondary_boundary = 'top_bottom'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    secondary_variable = disp_z
    component = z
    direction = direction_2
    use_displaced_mesh = true
    compute_lm_residuals = false
    weighted_velocities_uo = friction_uo
  []
[]

[BCs]
  [botx]
    type = DirichletBC
    variable = disp_x
    boundary = 'bottom_left bottom_right bottom_front bottom_back'
    value = 0.0
  []
  [boty]
    type = DirichletBC
    variable = disp_y
    boundary = 'bottom_left bottom_right bottom_front bottom_back'
    value = 0.0
  []
  [botz]
    type = DirichletBC
    variable = disp_z
    boundary = 'bottom_left bottom_right bottom_front bottom_back'
    value = 0.0
  []
  [topx]
    type = DirichletBC
    variable = disp_x
    boundary = 'top_top'
    value = 0.0
  []
  [topy]
    type = DirichletBC
    variable = disp_y
    boundary = 'top_top'
    value = 0.0
  []
  [topz]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'top_top'
    function = '-${starting_point} * sin(2 * pi / 40 * t) + ${offset}'
  []
[]

[Executioner]
  type = Transient
  end_time = .025
  dt = .025
  dtmin = .001
  solve_type = 'PJFNK'
  petsc_options = '-snes_converged_reason -ksp_converged_reason -snes_ksp_ew'
  petsc_options_iname = '-pc_type -pc_factor_mat_solver_type'
  petsc_options_value = 'lu       superlu_dist'
  l_max_its = 15
  nl_max_its = 30
  nl_rel_tol = 1e-12
  nl_abs_tol = 1e-13
  line_search = 'basic'
[]

[Debug]
  show_var_residual_norms = true
[]

[Outputs]
  exodus = true
  csv = true
[]

[Preconditioning]
  [smp]
    type = SMP
    full = true
  []
[]

[Postprocessors]
[]

[VectorPostprocessors]
[]

(modules/solid_mechanics/test/tests/1D_axisymmetric/axisymm_plane_strain_small.i)

#
# This test checks elastic stress calculations with mechanical and thermal
# strain using small strain formulation. Young's modulus is 3600, and Poisson's ratio is 0.2.
# The axisymmetric, plane strain 1D mesh is pulled with 1e-6 strain.  Thus,
# the strain is [1e-6, 0, 1e-6] (xx, yy, zz).  This gives stress of
# [5e-3, 2e-3, 5e-3].  After a temperature increase of 100 with alpha of
# 1e-8, the stress becomes [-1e-3, -4e-3, -1e-3].
#

[GlobalParams]
  displacements = disp_x
[]

[Problem]
  coord_type = RZ
[]

[Mesh]
  file = line.e
[]

[Variables]
  [./disp_x]
  [../]
[]

[AuxVariables]
  [./temp]
    initial_condition = 580.0
  [../]
[]

[Functions]
  [./temp]
    type = PiecewiseLinear
    x = '0   1   2'
    y = '580 580 680'
  [../]
  [./disp_x]
    type = PiecewiseLinear
    x = '0 1'
    y = '0 2e-6'
  [../]
[]

[Physics]
  [SolidMechanics]
    [QuasiStatic]
      [./ps]
        planar_formulation = PLANE_STRAIN
        strain = SMALL
        generate_output = 'strain_xx strain_zz stress_xx stress_yy stress_zz'
        eigenstrain_names = eigenstrain
      [../]
    [../]
  [../]
[]

[AuxKernels]
  [./temp]
    type = FunctionAux
    variable = temp
    function = temp
    execute_on = 'timestep_begin'
  [../]
[]

[BCs]
  [./no_x]
    type = DirichletBC
    boundary = 1
    value = 0
    variable = disp_x
  [../]
  [./disp_x]
    type = FunctionDirichletBC
    boundary = 2
    function = disp_x
    variable = disp_x
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeIsotropicElasticityTensor
    youngs_modulus = 3600
    poissons_ratio = 0.2
  [../]

  [./thermal_strain]
    type = ComputeThermalExpansionEigenstrain
    thermal_expansion_coeff = 1e-8
    temperature = temp
    stress_free_temperature = 580
    eigenstrain_name = eigenstrain
  [../]

  [./stress]
    type = ComputeLinearElasticStress
  [../]
[]

[Executioner]
  type = Transient
  solve_type = 'PJFNK'
  line_search = 'none'

  l_max_its = 50
  l_tol = 1e-6
  nl_max_its = 15
  nl_rel_tol = 1e-8
  nl_abs_tol = 1e-10
  start_time = 0
  end_time = 2
  num_steps = 2
[]

[Outputs]
  exodus = true
  console = true
[]

(modules/xfem/test/tests/moving_interface/verification/2D_xy_homog1mat.i)

# ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ #
# XFEM Moving Interface Verification Problem
# Dimensionality:                                         2D
# Coordinate System:                                      xy
# Material Numbers/Types:   homogeneous 1 material, 2 region
# Element Order:                                         1st
# Interface Characteristics: u independent, prescribed level set function
# Description:
#   Transient 2D heat transfer problem in Cartesian coordinates designed with
#   the Method of Manufactured Solutions. This problem was developed to verify
#   XFEM performance on linear elements in the presence of a moving interface
#   sweeping across the x-y coordinates of a system with homogeneous material
#   properties. This problem can be exactly evaluated by FEM/Moose without the
#   moving interface. Both the temperature and level set function are designed
#   to be linear to attempt to minimize error between the Moose/exact solution
#   and XFEM results.
# Results:
#   The temperature at the bottom left boundary (x=0, y=0) exhibits the largest
#   difference between the FEM/Moose solution and XFEM results. We present the
#   XFEM results at this location with 10 digits of precision:
#     Time    Expected Temperature    XFEM Calculated Temperature
#      0.2                  440         440
#      0.4                  480         479.9998791
#      0.6                  520         519.9995307
#      0.8                  560         559.9989724
#      1.0                  600         599.9984541
# ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ #

[GlobalParams]
  order = FIRST
  family = LAGRANGE
[]

[Mesh]
  type = GeneratedMesh
  dim = 2
  nx = 4
  ny = 4
  xmin = 0.0
  xmax = 1.0
  ymin = 0.0
  ymax = 1.0
  elem_type = QUAD4
[]

[XFEM]
  qrule = moment_fitting
  output_cut_plane = true
[]

[UserObjects]
  [./level_set_cut_uo]
    type = LevelSetCutUserObject
    level_set_var = ls
    heal_always = true
  [../]
[]

[Variables]
  [./u]
  [../]
[]

[AuxVariables]
  [./ls]
    order = FIRST
    family = LAGRANGE
  [../]
[]

[Kernels]
  [./heat_cond]
    type = MatDiffusion
    variable = u
    diffusivity = diffusion_coefficient
  [../]
  [./vol_heat_src]
    type = BodyForce
    variable = u
    function = src_func
  [../]
  [./mat_time_deriv]
    type = TestMatTimeDerivative
    variable = u
    mat_prop_value = rhoCp
  [../]
[]

[AuxKernels]
  [./ls_function]
    type = FunctionAux
    variable = ls
    function = ls_func
  [../]
[]

[Constraints]
  [./xfem_constraints]
    type = XFEMSingleVariableConstraint
    variable = u
    geometric_cut_userobject = 'level_set_cut_uo'
    use_penalty = true
    alpha = 1e5
  [../]
[]

[Functions]
  [./src_func]
    type = ParsedFunction
    expression = '10*(-100*x-100*y+200)'
  [../]
  [./neumann_func]
    type = ParsedFunction
    expression = '1.5*100*t'
  [../]
  [./dirichlet_right_func]
    type = ParsedFunction
    expression = '(-100*y+100)*t+400'
  [../]
  [./dirichlet_top_func]
    type = ParsedFunction
    expression = '(-100*x+100)*t+400'
  [../]
  [./ls_func]
    type = ParsedFunction
    expression = '-0.5*(x+y) + 1.04 - 0.2*t'
  [../]
[]

[Materials]
  [./mat_time_deriv_prop]
    type = GenericConstantMaterial
    prop_names = 'rhoCp'
    prop_values = 10
  [../]
  [./therm_cond_prop]
    type = GenericConstantMaterial
    prop_names = 'diffusion_coefficient'
    prop_values = 1.5
  [../]
[]

[BCs]
  [./left_du]
    type = FunctionNeumannBC
    variable = u
    boundary = 'left'
    function = neumann_func
  [../]
  [./right_u]
    type = FunctionDirichletBC
    variable = u
    boundary = 'right'
    function = dirichlet_right_func
  [../]
  [./bottom_du]
    type = FunctionNeumannBC
    variable = u
    boundary = 'bottom'
    function = neumann_func
  [../]
  [./top_u]
    type = FunctionDirichletBC
    variable = u
    boundary = 'top'
    function = dirichlet_top_func
  [../]
[]

[ICs]
  [./u_ic]
    type = ConstantIC
    value = 400
    variable = u
  [../]
[]

[Executioner]
  type = Transient
  solve_type = 'PJFNK'
  line_search = 'none'

  l_tol = 1.0e-6
  nl_max_its = 15
  nl_rel_tol = 1.0e-10
  nl_abs_tol = 1.0e-9

  start_time = 0.0
  dt = 0.2
  end_time = 1.0
  max_xfem_update = 1
[]

[Outputs]
  time_step_interval = 1
  execute_on = 'initial timestep_end'
  exodus = true
  [./console]
    type = Console
    output_linear = true
  [../]
[]

(test/tests/postprocessors/interface_diffusive_flux/interface_diffusive_flux.i)

postprocessor_type = InterfaceDiffusiveFluxAverage

[Mesh]
  [gen]
    type = GeneratedMeshGenerator
    dim = 2
    nx = 6
    xmax = 3
    ny = 9
    ymax = 3
    elem_type = QUAD4
  []
  [subdomain_id]
    input = gen
    type = SubdomainBoundingBoxGenerator
    bottom_left = '0 0 0'
    top_right = '2 1 0'
    block_id = 1
  []
  [interface]
    input = subdomain_id
    type = SideSetsBetweenSubdomainsGenerator
    primary_block = '0'
    paired_block = '1'
    new_boundary = 'interface'
  []
[]

[Functions]
  [fn_exact]
    type = ParsedFunction
    expression = 'x*x+y*y'
  []
[]

[Variables]
  [u]
    block = 0
  []
  [v]
    block = 1
  []
[]


[Kernels]
  [diff_u]
    type = Diffusion
    variable = u
  []
  [body_u]
    type = BodyForce
    variable = u
    function = 1
  []

  [diff_v]
    type = Diffusion
    variable = v
  []
  [body_v]
    type = BodyForce
    variable = v
    function = -1
  []
[]

# Not a diffusion interface but can test the postprocessor anyway
[InterfaceKernels]
  [reaction]
    type = InterfaceReaction
    kb = 1
    kf = 2
    variable = u
    neighbor_var = v
    boundary = 'interface'
  []
[]

[BCs]
  [all]
    type = FunctionDirichletBC
    variable = u
    boundary = '0 1 2 3'
    function = fn_exact
  []
[]

[Postprocessors]
  [diffusive_flux]
    type = ${postprocessor_type}
    variable = u
    neighbor_variable = v
    diffusivity = 1
    execute_on = TIMESTEP_END
    boundary = 'interface'
  []
[]

[Executioner]
  type = Steady
  solve_type = NEWTON
[]

[Outputs]
  file_base = ${raw ${postprocessor_type} _fe}
  exodus = true
[]

(tutorials/darcy_thermo_mech/step11_action/problems/step11.i)

[GlobalParams]
  displacements = 'disp_r disp_z'
[]

[Mesh]
  [gmg]
    type = GeneratedMeshGenerator
    dim = 2
    nx = 10
    ny = 200
    ymax = 0.304 # Length of test chamber
    xmax = 0.0257 # Test chamber radius
  []
  coord_type = RZ
[]

[Variables]
  [pressure]
  []
  [temperature]
    initial_condition = 300 # Start at room temperature
  []
[]

[DarcyThermoMech]
[]

[Physics/SolidMechanics/QuasiStatic]
  [all]
    # This block adds all of the proper Kernels, strain calculators, and Variables
    # for SolidMechanics in the correct coordinate system (autodetected)
    add_variables = true
    strain = FINITE
    eigenstrain_names = eigenstrain
    use_automatic_differentiation = true
    generate_output = 'vonmises_stress elastic_strain_xx elastic_strain_yy strain_xx strain_yy'
  []
[]

[BCs]
  [inlet_temperature]
    type = FunctionDirichletBC
    variable = temperature
    boundary = bottom
    function = 'if(t<0,350+50*t,350)'
  []
  [outlet_temperature]
    type = HeatConductionOutflow
    variable = temperature
    boundary = top
  []
  [inlet]
    type = DirichletBC
    variable = pressure
    boundary = bottom
    value = 4000 # (Pa) From Figure 2 from paper.  First data point for 1mm spheres.
  []
  [outlet]
    type = DirichletBC
    variable = pressure
    boundary = top
    value = 0 # (Pa) Gives the correct pressure drop from Figure 2 for 1mm spheres
  []
  [hold_inlet]
    type = DirichletBC
    variable = disp_z
    boundary = bottom
    value = 0
  []
  [hold_center]
    type = DirichletBC
    variable = disp_r
    boundary = left
    value = 0
  []
  [hold_outside]
    type = DirichletBC
    variable = disp_r
    boundary = right
    value = 0
  []
[]

[Materials]
  viscosity_file = data/water_viscosity.csv
  density_file = data/water_density.csv
  thermal_conductivity_file = data/water_thermal_conductivity.csv
  specific_heat_file = data/water_specific_heat.csv
  thermal_expansion_file = data/water_thermal_expansion.csv

  [column]
    type = PackedColumn
    block = 0
    temperature = temperature
    radius = 1.15
    fluid_viscosity_file = ${viscosity_file}
    fluid_density_file = ${density_file}
    fluid_thermal_conductivity_file = ${thermal_conductivity_file}
    fluid_specific_heat_file = ${specific_heat_file}
    fluid_thermal_expansion_file = ${thermal_expansion_file}
  []

  [elasticity_tensor]
    type = ADComputeIsotropicElasticityTensor
    youngs_modulus = 200e9 # (Pa) from wikipedia
    poissons_ratio = .3 # from wikipedia
  []
  [elastic_stress]
    type = ADComputeFiniteStrainElasticStress
  []
  [thermal_strain]
    type = ADComputeThermalExpansionEigenstrain
    stress_free_temperature = 300
    eigenstrain_name = eigenstrain
    temperature = temperature
    thermal_expansion_coeff = 1e-5
  []
[]

[Postprocessors/average_temperature]
  type = ElementAverageValue
  variable = temperature
[]

[Problem]
  type = FEProblem
[]

[Executioner]
  type = Transient
  end_time = 200
  dt = 0.25
  start_time = -1

  solve_type = PJFNK
  petsc_options_iname = '-pc_type'
  petsc_options_value = 'lu'
  line_search = none

  automatic_scaling = true
  compute_scaling_once = false
  steady_state_tolerance = 1e-7
  steady_state_detection = true

  [TimeStepper]
    type = FunctionDT
    function = 'if(t<0,0.1,0.25)'
  []
[]

[Outputs/out]
  type = Exodus
  elemental_as_nodal = true
[]

(modules/contact/test/tests/cohesive_zone_model/mortar_czm.i)

[Mesh]
  [msh]
    type = GeneratedMeshGenerator
    dim = 2
    xmax = 1
    ymax = 1
    nx = 5
    ny = 5
    boundary_name_prefix = bottom
  []
  [msh_id]
    type = SubdomainIDGenerator
    input = msh
    subdomain_id = 1
  []

  [msh_two]
    type = GeneratedMeshGenerator
    dim = 2
    xmax = 1
    ymin = 1
    ymax = 2
    nx = 5
    ny = 5
    boundary_name_prefix = top
    boundary_id_offset = 10
  []
  [msh_two_id]
    type = SubdomainIDGenerator
    input = msh_two
    subdomain_id = 2
  []
  [combined]
    type = MeshCollectionGenerator
    inputs = 'msh_id msh_two_id'
  []
  [top_node]
    type = ExtraNodesetGenerator
    coord = '0 2 0'
    input = combined
    new_boundary = top_node
  []
  [bottom_node]
    type = ExtraNodesetGenerator
    coord = '0 0 0'
    input = top_node
    new_boundary = bottom_node
  []
  # Build subdomains
  [secondary]
    type = LowerDBlockFromSidesetGenerator
    new_block_id = 10001
    new_block_name = 'secondary_lower'
    sidesets = 'bottom_top'
    input = bottom_node
  []
  [primary]
    type = LowerDBlockFromSidesetGenerator
    new_block_id = 10000
    sidesets = 'top_bottom'
    new_block_name = 'primary_lower'
    input = secondary
  []
  allow_renumbering = false
[]

[GlobalParams]
  displacements = 'disp_x disp_y'
[]

[Physics]
  [SolidMechanics]
    [QuasiStatic]
      generate_output = 'stress_yy'
      [all]
        strain = FINITE
        add_variables = true
        use_automatic_differentiation = true
        decomposition_method = TaylorExpansion
        block = '1 2'
      []
    []
  []
[]

[BCs]
  [fix_x]
    type = DirichletBC
    preset = true
    value = 0.0
    boundary = bottom_node
    variable = disp_x
  []

  [fix_top]
    type = DirichletBC
    preset = true
    boundary = top_top
    variable = disp_x
    value = 0
  []

  [top]
    type = FunctionDirichletBC
    boundary = top_top
    variable = disp_y
    function = 'if(t<=0.3,t,if(t<=0.6,0.3-(t-0.3),0.6-t))'
    preset = true
  []

  [bottom]
    type = DirichletBC
    boundary = bottom_bottom
    variable = disp_y
    value = 0
    preset = true
  []
[]

[AuxVariables]
[]

[AuxKernels]
[]

[Materials]
  [stress]
    type = ADComputeFiniteStrainElasticStress
    block = '1 2'
  []
  [elasticity_tensor]
    type = ADComputeElasticityTensor
    fill_method = symmetric9
    C_ijkl = '1.684e5 0.176e5 0.176e5 1.684e5 0.176e5 1.684e5 0.754e5 0.754e5 0.754e5'
    block = '1 2'
  []
  [normal_strength]
    type = GenericFunctionMaterial
    prop_names = 'N'
    prop_values = 'if(x<0.5,1,100)*1e4'
  []
[]

[Preconditioning]
  [smp]
    type = SMP
    full = true
  []
[]

[Executioner]
  type = Transient

  solve_type = 'NEWTON'
  line_search = none

  petsc_options_iname = '-pc_type'
  petsc_options_value = 'lu'

  automatic_scaling = true

  l_max_its = 2
  l_tol = 1e-14
  nl_max_its = 30
  nl_rel_tol = 1e-11
  nl_abs_tol = 1e-11
  start_time = 0.0
  dt = 0.01
  end_time = 0.05
  dtmin = 0.01
[]

[Outputs]
  exodus = true
[]

[UserObjects]
  [czm_uo]
    type = BilinearMixedModeCohesiveZoneModel
    primary_boundary = 'top_bottom'
    secondary_boundary = 'bottom_top'
    primary_subdomain = 10000
    secondary_subdomain = 10001

    disp_x = disp_x
    disp_y = disp_y
    friction_coefficient = 0.1 # with 2.0 works
    secondary_variable = disp_x

    penalty = 0e6
    penalty_friction = 1e4
    use_physical_gap = true

    correct_edge_dropping = true
    normal_strength = N
    shear_strength = 1e3
    viscosity = 1e-3
    penalty_stiffness = 1e6

    power_law_parameter = 2.2
    GI_c = 1e3
    GII_c = 1e2
    displacements = 'disp_x disp_y'
  []
[]

[Constraints]
  [x]
    type = NormalMortarMechanicalContact
    primary_boundary = 'top_bottom'
    secondary_boundary = 'bottom_top'
    primary_subdomain = 10000
    secondary_subdomain = 10001
    secondary_variable = disp_x
    component = x
    use_displaced_mesh = true
    compute_lm_residuals = false
    weighted_gap_uo = czm_uo
    correct_edge_dropping = true
  []
  [y]
    type = NormalMortarMechanicalContact
    primary_boundary = 'top_bottom'
    secondary_boundary = 'bottom_top'
    primary_subdomain = 10000
    secondary_subdomain = 10001
    secondary_variable = disp_y
    component = y
    use_displaced_mesh = true
    compute_lm_residuals = false
    weighted_gap_uo = czm_uo
    correct_edge_dropping = true
  []
  [c_x]
    type = MortarGenericTraction
    primary_boundary = 'top_bottom'
    secondary_boundary = 'bottom_top'
    primary_subdomain = 10000
    secondary_subdomain = 10001
    secondary_variable = disp_x
    component = x
    use_displaced_mesh = true
    compute_lm_residuals = false
    cohesive_zone_uo = czm_uo
    correct_edge_dropping = true
  []
  [c_y]
    type = MortarGenericTraction
    primary_boundary = 'top_bottom'
    secondary_boundary = 'bottom_top'
    primary_subdomain = 10000
    secondary_subdomain = 10001
    secondary_variable = disp_y
    component = y
    use_displaced_mesh = true
    compute_lm_residuals = false
    cohesive_zone_uo = czm_uo
    correct_edge_dropping = true
  []
[]

(modules/solid_mechanics/test/tests/neml2/plasticity/perfect.i)

N = 2

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]

[Mesh]
  [gmg]
    type = GeneratedMeshGenerator
    dim = 3
    nx = ${N}
    ny = ${N}
    nz = ${N}
  []
[]

[Physics]
  [SolidMechanics]
    [QuasiStatic]
      [all]
        strain = SMALL
        new_system = true
        add_variables = true
        formulation = TOTAL
        volumetric_locking_correction = true
      []
    []
  []
[]

[NEML2]
  input = 'perfect_neml2.i'
  [all]
    model = 'model'
    verbose = true
    device = 'cpu'

    moose_input_types = 'MATERIAL     POSTPROCESSOR POSTPROCESSOR MATERIAL'
    moose_inputs = '     neml2_strain time          time          plastic_strain'
    neml2_inputs = '     forces/E     forces/t      old_forces/t  old_state/internal/Ep'

    moose_output_types = 'MATERIAL     MATERIAL'
    moose_outputs = '     neml2_stress plastic_strain'
    neml2_outputs = '     state/S      state/internal/Ep'

    moose_derivative_types = 'MATERIAL'
    moose_derivatives = 'neml2_jacobian'
    neml2_derivatives = 'state/S forces/E'
  []
[]

[Postprocessors]
  [time]
    type = TimePostprocessor
    execute_on = 'INITIAL TIMESTEP_BEGIN'
  []
[]

[Materials]
  [convert_strain]
    type = RankTwoTensorToSymmetricRankTwoTensor
    from = 'mechanical_strain'
    to = 'neml2_strain'
  []
  [stress]
    type = ComputeLagrangianObjectiveCustomSymmetricStress
    custom_small_stress = 'neml2_stress'
    custom_small_jacobian = 'neml2_jacobian'
  []
[]

[BCs]
  [xfix]
    type = DirichletBC
    variable = disp_x
    boundary = left
    value = 0
  []
  [yfix]
    type = DirichletBC
    variable = disp_y
    boundary = bottom
    value = 0
  []
  [zfix]
    type = DirichletBC
    variable = disp_z
    boundary = back
    value = 0
  []
  [xdisp]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = right
    function = t
    preset = false
  []
[]

[Executioner]
  type = Transient
  solve_type = NEWTON
  petsc_options_iname = '-pc_type'
  petsc_options_value = 'lu'
  automatic_scaling = true
  dt = 1e-3
  dtmin = 1e-3
  num_steps = 5
  residual_and_jacobian_together = true
[]

[Outputs]
  exodus = true
[]

(modules/contact/test/tests/pdass_problems/cylinder_friction_penalty_normal_al_test_nochange.i)

[GlobalParams]
  volumetric_locking_correction = true
  displacements = 'disp_x disp_y'
[]

[Mesh]
  [input_file]
    type = FileMeshGenerator
    file = hertz_cyl_finer.e
  []
  [secondary]
    type = LowerDBlockFromSidesetGenerator
    new_block_id = 10001
    new_block_name = 'secondary_lower'
    sidesets = '3'
    input = input_file
  []
  [primary]
    type = LowerDBlockFromSidesetGenerator
    new_block_id = 10000
    sidesets = '2'
    new_block_name = 'primary_lower'
    input = secondary
  []
  allow_renumbering = false
[]

[Problem]
  type = AugmentedLagrangianContactFEProblem
  extra_tag_vectors = 'ref'
  maximum_lagrangian_update_iterations = 1000
[]

[AuxVariables]
  [penalty_normal_pressure]
  []
  [penalty_frictional_pressure]
  []
  [accumulated_slip_one]
  []
  [tangential_vel_one]
  []
  [normal_gap]
  []
  [normal_lm]
  []
  [saved_x]
  []
  [saved_y]
  []
  [active]
  []
  [dual_var]
    use_dual = true
    block = '10001'
  []
[]

[Functions]
  [disp_ramp_vert]
    type = PiecewiseLinear
    x = '0. 1. 3.5'
    y = '0. -0.020 -0.020'
  []
  [disp_ramp_horz]
    type = PiecewiseLinear
    x = '0. 1. 3.5'
    y = '0. 0.0 0.015'
  []
[]

[Physics/SolidMechanics/QuasiStatic/all]
  strain = FINITE
  add_variables = true
  save_in = 'saved_x saved_y'
  extra_vector_tags = 'ref'
  block = '1 2 3 4 5 6 7'
  generate_output = 'stress_xx stress_yy stress_xy'
[]

[AuxKernels]
  [penalty_normal_pressure]
    type = PenaltyMortarUserObjectAux
    variable = penalty_normal_pressure
    user_object = friction_uo
    contact_quantity = normal_pressure
    boundary = 3
  []
  [normal_lm]
    type = PenaltyMortarUserObjectAux
    variable = normal_lm
    user_object = friction_uo
    contact_quantity = normal_lm
    boundary = 3
  []
  [normal_gap]
    type = PenaltyMortarUserObjectAux
    variable = normal_gap
    user_object = friction_uo
    contact_quantity = normal_gap
    boundary = 3
  []
[]

[Postprocessors]
  [bot_react_x]
    type = NodalSum
    variable = saved_x
    boundary = 1
  []
  [bot_react_y]
    type = NodalSum
    variable = saved_y
    boundary = 1
  []
  [top_react_x]
    type = NodalSum
    variable = saved_x
    boundary = 4
  []
  [top_react_y]
    type = NodalSum
    variable = saved_y
    boundary = 4
  []
  [_dt]
    type = TimestepSize
  []
  [num_lin_it]
    type = NumLinearIterations
  []
  [num_nonlin_it]
    type = NumNonlinearIterations
  []
  [cumulative]
    type = CumulativeValuePostprocessor
    postprocessor = num_nonlin_it
  []
  [gap]
    type = SideExtremeValue
    value_type = min
    variable = normal_gap
    boundary = 3
  []
  [num_al]
    type = NumAugmentedLagrangeIterations
  []
  [active_set_size]
    type = NodalSum
    variable = active
  []
[]

[BCs]
  [side_x]
    type = DirichletBC
    variable = disp_y
    boundary = '1 2'
    value = 0.0
  []
  [bot_y]
    type = DirichletBC
    variable = disp_x
    boundary = '1 2'
    value = 0.0
  []
  [top_y_disp]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 4
    function = disp_ramp_vert
  []
  [top_x_disp]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 4
    function = disp_ramp_horz
  []
[]

[Materials]
  [stuff1_elas_tens]
    type = ComputeIsotropicElasticityTensor
    block = '1'
    youngs_modulus = 1e8
    poissons_ratio = 0.0
  []
  [stuff1_stress]
    type = ComputeFiniteStrainElasticStress
    block = '1'
  []
  [stuff2_elas_tens]
    type = ComputeIsotropicElasticityTensor
    block = '2 3 4 5 6 7'
    youngs_modulus = 1e6
    poissons_ratio = 0.3
  []
  [stuff2_stress]
    type = ComputeFiniteStrainElasticStress
    block = '2 3 4 5 6 7'
  []
[]

[Executioner]
  type = Transient
  solve_type = 'NEWTON'

  petsc_options = '-snes_ksp_ew'
  petsc_options_iname = -pc_type
  petsc_options_value = lu
  line_search = 'none'

  nl_abs_tol = 1e-12
  nl_rel_tol = 1e-8
  nl_max_its = 1300
  l_tol = 1e-05
  l_abs_tol = 1e-13

  start_time = 0.0
  end_time = 1.0 # 3.5

  dt = 0.1
  dtmin = 0.001
  [Predictor]
    type = SimplePredictor
    scale = 1.0
  []

  automatic_scaling = true
[]

[Preconditioning]
  [SMP]
    type = SMP
    full = true
  []
[]

[VectorPostprocessors]
  [surface]
    type = NodalValueSampler
    use_displaced_mesh = false
    variable = 'disp_x disp_y penalty_normal_pressure  normal_gap'
    boundary = '3'
    sort_by = id
  []
[]

[Outputs]
  print_linear_residuals = true
  perf_graph = true
  exodus = true
  csv = false
  [vectorpp_output]
    type = CSV
    create_final_symlink = true
    execute_on = 'INITIAL TIMESTEP_END FINAL'
  []
[]

[UserObjects]
  [friction_uo]
    type = PenaltyWeightedGapUserObject
    primary_boundary = '2'
    secondary_boundary = '3'
    primary_subdomain = '10000'
    secondary_subdomain = '10001'
    disp_x = disp_x
    disp_y = disp_y
    penalty = 1e7
    penetration_tolerance = 1e-8
    use_mortar_scaled_gap = true
    aux_lm = dual_var
  []
[]

[Constraints]
  [x]
    type = NormalMortarMechanicalContact
    primary_boundary = '2'
    secondary_boundary = '3'
    primary_subdomain = '10000'
    secondary_subdomain = '10001'
    secondary_variable = disp_x
    component = x
    use_displaced_mesh = true
    compute_lm_residuals = false
    weighted_gap_uo = friction_uo
  []
  [y]
    type = NormalMortarMechanicalContact
    primary_boundary = '2'
    secondary_boundary = '3'
    primary_subdomain = '10000'
    secondary_subdomain = '10001'
    secondary_variable = disp_y
    component = y
    use_displaced_mesh = true
    compute_lm_residuals = false
    weighted_gap_uo = friction_uo
  []
[]

(modules/solid_mechanics/test/tests/capped_weak_plane/pull_push_h.i)

# A column of elements has its bottom pulled down, and then pushed up again.
# Hardening of the tensile strength means that the top element also
# experiences plastic deformation
[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 2
  xmin = -10
  xmax = 10
  ymin = -10
  ymax = 10
  zmin = -100
  zmax = 0
[]

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]

[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
[]

[Kernels]
  [SolidMechanics]
  [../]
[]

[BCs]
  [./no_x2]
    type = DirichletBC
    variable = disp_x
    boundary = right
    value = 0.0
  [../]
  [./no_x1]
    type = DirichletBC
    variable = disp_x
    boundary = left
    value = 0.0
  [../]
  [./no_y1]
    type = DirichletBC
    variable = disp_y
    boundary = bottom
    value = 0.0
  [../]
  [./no_y2]
    type = DirichletBC
    variable = disp_y
    boundary = top
    value = 0.0
  [../]

  [./topz]
    type = DirichletBC
    variable = disp_z
    boundary = front
    value = 0
  [../]
  [./bottomz]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = back
    function = 'if(t>1,-2.0+t,-t)'
  [../]
[]

[AuxVariables]
  [./stress_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./strainp_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./strainp_xy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./strainp_xz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./strainp_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./strainp_yz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./strainp_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./straint_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./straint_xy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./straint_xz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./straint_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./straint_yz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./straint_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f_shear]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f_tensile]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f_compressive]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./intnl_shear]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./intnl_tensile]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./iter]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./ls]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]

[AuxKernels]
  [./stress_xx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xx
    index_i = 0
    index_j = 0
  [../]
  [./stress_xy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xy
    index_i = 0
    index_j = 1
  [../]
  [./stress_xz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xz
    index_i = 0
    index_j = 2
  [../]
  [./stress_yy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yy
    index_i = 1
    index_j = 1
  [../]
  [./stress_yz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yz
    index_i = 1
    index_j = 2
  [../]
  [./stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zz
    index_i = 2
    index_j = 2
  [../]
  [./strainp_xx]
    type = RankTwoAux
    rank_two_tensor = plastic_strain
    variable = strainp_xx
    index_i = 0
    index_j = 0
  [../]
  [./strainp_xy]
    type = RankTwoAux
    rank_two_tensor = plastic_strain
    variable = strainp_xy
    index_i = 0
    index_j = 1
  [../]
  [./strainp_xz]
    type = RankTwoAux
    rank_two_tensor = plastic_strain
    variable = strainp_xz
    index_i = 0
    index_j = 2
  [../]
  [./strainp_yy]
    type = RankTwoAux
    rank_two_tensor = plastic_strain
    variable = strainp_yy
    index_i = 1
    index_j = 1
  [../]
  [./strainp_yz]
    type = RankTwoAux
    rank_two_tensor = plastic_strain
    variable = strainp_yz
    index_i = 1
    index_j = 2
  [../]
  [./strainp_zz]
    type = RankTwoAux
    rank_two_tensor = plastic_strain
    variable = strainp_zz
    index_i = 2
    index_j = 2
  [../]
  [./straint_xx]
    type = RankTwoAux
    rank_two_tensor = total_strain
    variable = straint_xx
    index_i = 0
    index_j = 0
  [../]
  [./straint_xy]
    type = RankTwoAux
    rank_two_tensor = total_strain
    variable = straint_xy
    index_i = 0
    index_j = 1
  [../]
  [./straint_xz]
    type = RankTwoAux
    rank_two_tensor = total_strain
    variable = straint_xz
    index_i = 0
    index_j = 2
  [../]
  [./straint_yy]
    type = RankTwoAux
    rank_two_tensor = total_strain
    variable = straint_yy
    index_i = 1
    index_j = 1
  [../]
  [./straint_yz]
    type = RankTwoAux
    rank_two_tensor = total_strain
    variable = straint_yz
    index_i = 1
    index_j = 2
  [../]
  [./straint_zz]
    type = RankTwoAux
    rank_two_tensor = total_strain
    variable = straint_zz
    index_i = 2
    index_j = 2
  [../]
  [./f_shear]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 0
    variable = f_shear
  [../]
  [./f_tensile]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 1
    variable = f_tensile
  [../]
  [./f_compressive]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 2
    variable = f_compressive
  [../]
  [./intnl_shear]
    type = MaterialStdVectorAux
    property = plastic_internal_parameter
    index = 0
    variable = intnl_shear
  [../]
  [./intnl_tensile]
    type = MaterialStdVectorAux
    property = plastic_internal_parameter
    index = 1
    variable = intnl_tensile
  [../]
  [./iter]
    type = MaterialRealAux
    property = plastic_NR_iterations
    variable = iter
  [../]
  [./ls]
    type = MaterialRealAux
    property = plastic_linesearch_needed
    variable = ls
  [../]
[]

[UserObjects]
  [./coh_irrelevant]
    type = SolidMechanicsHardeningCubic
    value_0 = 2E6
    value_residual = 1E6
    internal_limit = 0.01
  [../]
  [./tanphi]
    type = SolidMechanicsHardeningCubic
    value_0 = 0.5
    value_residual = 0.2
    internal_limit = 0.01
  [../]
  [./tanpsi]
    type = SolidMechanicsHardeningConstant
    value = 0.166666666667
  [../]
  [./t_strength]
    type = SolidMechanicsHardeningCubic
    value_0 = 0
    value_residual = 1E8
    internal_limit = 0.1
  [../]
  [./c_strength]
    type = SolidMechanicsHardeningCubic
    value_0 = 1E8
    value_residual = 0.0
    internal_limit = 0.01
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    fill_method = symmetric_isotropic
    C_ijkl = '6.4E9 6.4E9'  # young 16MPa, Poisson 0.25
  [../]
  [./strain]
    type = ComputeIncrementalStrain
  [../]
  [./admissible]
    type = ComputeMultipleInelasticStress
    inelastic_models = stress
    tangent_operator = nonlinear
    perform_finite_strain_rotations = false
  [../]
  [./stress]
    type = CappedWeakPlaneStressUpdate
    cohesion = coh_irrelevant
    tan_friction_angle = tanphi
    tan_dilation_angle = tanpsi
    tensile_strength = t_strength
    compressive_strength = c_strength
    max_NR_iterations = 1000
    tip_smoother = 0
    smoothing_tol = 0
    yield_function_tol = 1E-5
    perfect_guess = false
    min_step_size = 0.1
  [../]
[]

[Preconditioning]
  [./andy]
    type = SMP
    full = true
    #petsc_options = '-snes_converged_reason -snes_linesearch_monitor'
    petsc_options_iname = '-pc_type -pc_asm_overlap -sub_pc_type -ksp_type -ksp_gmres_restart'
    petsc_options_value = ' asm      2              lu            gmres     200'
  [../]
[]

[Executioner]
  solve_type = 'NEWTON'
  petsc_options = '-snes_converged_reason'
  line_search = bt
  nl_abs_tol = 1E-2
  nl_rel_tol = 1e-15
  l_tol = 1E-10

  l_max_its = 100
  nl_max_its = 100
  end_time = 3.0
  dt = 0.1
  type = Transient
[]

[Outputs]
  file_base = pull_push_h
  exodus = true
  csv = true
[]

(modules/contact/test/tests/frictional/sliding_elastic_blocks_2d/sliding_elastic_blocks_2d.i)

[Mesh]
  file = sliding_elastic_blocks_2d.e
[]

[GlobalParams]
  volumetric_locking_correction = false
  displacements = 'disp_x disp_y'
[]

[AuxVariables]
  [./penetration]
  [../]
  [./saved_x]
  [../]
  [./saved_y]
  [../]
  [./diag_saved_x]
  [../]
  [./diag_saved_y]
  [../]
  [./inc_slip_x]
  [../]
  [./inc_slip_y]
  [../]
  [./accum_slip_x]
  [../]
  [./accum_slip_y]
  [../]
  [./accum_slip]
  [../]
  [./tang_force_x]
  [../]
  [./tang_force_y]
  [../]
[]

[Functions]
  [./vertical_movement]
    type = ParsedFunction
    expression = -t
  [../]
[]

[Physics/SolidMechanics/QuasiStatic]
  [./all]
    add_variables = true
    strain = FINITE
    save_in = 'saved_x saved_y'
    diag_save_in = 'diag_saved_x diag_saved_y'
  [../]
[]

[AuxKernels]
  [./inc_slip_x]
    type = PenetrationAux
    variable = inc_slip_x
    quantity = incremental_slip_x
    boundary = 3
    paired_boundary = 2
  [../]
  [./inc_slip_y]
    type = PenetrationAux
    variable = inc_slip_y
    quantity = incremental_slip_y
    boundary = 3
    paired_boundary = 2
  [../]
  [./accum_slip]
    type = PenetrationAux
    variable = accum_slip
    execute_on = timestep_end
    quantity = accumulated_slip
    boundary = 3
    paired_boundary = 2
  [../]
  [./tangential_force_x]
    type = PenetrationAux
    variable = tang_force_x
    execute_on = timestep_end
    quantity = tangential_force_x
    boundary = 3
    paired_boundary = 2
  [../]
  [./tangential_force_y]
    type = PenetrationAux
    variable = tang_force_y
    execute_on = timestep_end
    quantity = tangential_force_y
    boundary = 3
    paired_boundary = 2
  [../]
  [./accum_slip_x]
    type = AccumulateAux
    variable = accum_slip_x
    accumulate_from_variable = inc_slip_x
    execute_on = timestep_end
  [../]
  [./accum_slip_y]
    type = AccumulateAux
    variable = accum_slip_y
    accumulate_from_variable = inc_slip_y
    execute_on = timestep_end
  [../]
  [./penetration]
    type = PenetrationAux
    variable = penetration
    boundary = 3
    paired_boundary = 2
  [../]
[]

[Postprocessors]
  [./bot_react_x]
    type = NodalSum
    variable = saved_x
    boundary = 1
  [../]
  [./bot_react_y]
    type = NodalSum
    variable = saved_y
    boundary = 1
  [../]
  [./top_react_x]
    type = NodalSum
    variable = saved_x
    boundary = 4
  [../]
  [./top_react_y]
    type = NodalSum
    variable = saved_y
    boundary = 4
  [../]
  [./ref_resid_x]
    type = NodalL2Norm
    execute_on = timestep_end
    variable = saved_x
  [../]
  [./ref_resid_y]
    type = NodalL2Norm
    execute_on = timestep_end
    variable = saved_y
  [../]
[]

[BCs]
  [./left_x]
    type = DirichletBC
    variable = disp_x
    boundary = 1
    value = 0.0
  [../]
  [./left_y]
    type = DirichletBC
    variable = disp_y
    boundary = 1
    value = 0.0
  [../]
  [./right_x]
    type = DirichletBC
    variable = disp_x
    boundary = 4
    value = -0.005
  [../]
  [./right_y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 4
    function = vertical_movement
  [../]
[]

[Materials]
  [./left]
    type = ComputeIsotropicElasticityTensor
    block = '1'
    youngs_modulus = 1.0e7
    poissons_ratio = 0.3
  [../]
  [./right]
    type = ComputeIsotropicElasticityTensor
    block = '2'
    youngs_modulus = 1.0e6
    poissons_ratio = 0.3
  [../]
  [./stress]
    type = ComputeFiniteStrainElasticStress
    block = '1 2'
  [../]
[]

[Preconditioning]
  [./SMP]
    type = SMP
    full = true
  [../]
[]

[Executioner]
  type = Transient
  solve_type = 'PJFNK'

  petsc_options_iname = '-pc_type -pc_factor_mat_solver_type'
  petsc_options_value = 'lu     superlu_dist'

  line_search = 'none'

  l_max_its = 100
  nl_max_its = 1000
  dt = 0.01
  end_time = 0.05
  num_steps = 1000
  nl_rel_tol = 1e-16
  nl_abs_tol = 1e-09
  dtmin = 0.01
  l_tol = 1e-3

  [./Predictor]
    type = SimplePredictor
    scale = 1.0
  [../]
[]

[Outputs]
  file_base = sliding_elastic_blocks_2d_out
  print_linear_residuals = true
  perf_graph = true
  [./exodus]
    type = Exodus
    elemental_as_nodal = true
  [../]
  [./console]
    type = Console
    max_rows = 5
  [../]
[]

[Contact]
  [./leftright]
    secondary = 3
    primary = 2
    model = coulomb
    friction_coefficient = '0.25'
    penalty = 1e6
  [../]
[]

[Dampers]
  [./contact_slip]
    type = ContactSlipDamper
    secondary = 3
    primary = 2
  [../]
[]

(modules/solid_mechanics/test/tests/finite_strain_elastic/finite_strain_fake_plastic.i)

[Mesh]
  type = GeneratedMesh
  dim = 3
  elem_type = HEX8
[]

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]

[Functions]
  [./tdisp]
    type = ParsedFunction
    expression = '0.01 * t'
  [../]
[]

[Physics/SolidMechanics/QuasiStatic]
  [./all]
    strain = FINITE
    add_variables = true
  [../]
[]

[BCs]
  [./symmy]
    type = DirichletBC
    variable = disp_y
    boundary = bottom
    value = 0
  [../]
  [./symmx]
    type = DirichletBC
    variable = disp_x
    boundary = left
    value = 0
  [../]
  [./symmz]
    type = DirichletBC
    variable = disp_z
    boundary = back
    value = 0
  [../]
  [./tdisp]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = front
    function = tdisp
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    C_ijkl = '1.684e5 1.214e5 1.214e5 1.684e5 1.214e5 1.684e5 0.754e5 0.754e5 0.754e5'
    fill_method = symmetric9
  [../]
  [./stress]
    # note there are no plastic_models so this is actually elasticity
    type = ComputeMultiPlasticityStress
    ep_plastic_tolerance = 1E-5
  [../]
[]

[Preconditioning]
  [./smp]
    type = SMP
    full = true
  [../]
[]

[Executioner]
  type = Transient
  dt = 0.05

  #Preconditioned JFNK (default)
  solve_type = 'PJFNK'

  petsc_options_iname = -pc_hypre_type
  petsc_options_value = boomeramg
  nl_abs_tol = 1e-10
  nl_rel_step_tol = 1e-10
  dtmax = 10.0
  nl_rel_tol = 1e-10
  end_time = 1
  dtmin = 0.05
  num_steps = 10
  nl_abs_step_tol = 1e-10
[]

[Outputs]
  exodus = true
[]

(modules/contact/test/tests/incremental_slip/incremental_slip.i)


[Mesh]
  file = incremental_slip.e
[]

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]

[Physics/SolidMechanics/QuasiStatic]
  [./all]
    strain = FINITE
    incremental = true
    add_variables = true
  [../]
[]

[Functions]
  [./secondary_x]
    type = PiecewiseLinear
    x = '0 1 2   3 4 5  6    7 8   9'
    y = '0 0 0.5 0 0 0 -0.25 0 0.5 0'
  [../]
  [./secondary_y]
    type = PiecewiseLinear
    x = '0  1     9'
    y = '0 -0.15 -0.15'
  [../]
  [./secondary_z]
    type = PiecewiseLinear
    x = '0 1  2   3 4 5 6    7  8   9'
    y = '0 0 -0.5 0 0 0 0.25 0 -0.5 0'
  [../]

  [./primary_x]
    type = PiecewiseLinear
    x = '0 1  2 3 4   5 6    7 8   9'
    y = '0 0  0 0 0.5 0 0.25 0 0.5 0'
  [../]
  [./primary_y]
    type = PiecewiseLinear
    x = '0 9'
    y = '0 0'
  [../]
  [./primary_z]
    type = PiecewiseLinear
    x = '0 1  2 3 4   5  6    7  8   9'
    y = '0 0  0 0 0.5 0 -0.25 0 -0.5 0'
  [../]
[]

[AuxVariables]
  [./inc_slip_x]
    order = FIRST
    family = LAGRANGE
  [../]
  [./inc_slip_y]
    order = FIRST
    family = LAGRANGE
  [../]
  [./inc_slip_z]
    order = FIRST
    family = LAGRANGE
  [../]
[]

[AuxKernels]
  [./inc_slip_x]
    type = PenetrationAux
    variable = inc_slip_x
    quantity = incremental_slip_x
    boundary = 3
    paired_boundary = 2
  [../]
  [./inc_slip_y]
    type = PenetrationAux
    variable = inc_slip_y
    quantity = incremental_slip_y
    boundary = 3
    paired_boundary = 2
  [../]
  [./inc_slip_z]
    type = PenetrationAux
    variable = inc_slip_z
    quantity = incremental_slip_z
    boundary = 3
    paired_boundary = 2
  [../]
[]

[Contact]
  [./dummy_name]
    primary = 2
    secondary = 3
    penalty = 1e7
  [../]
[]

[BCs]
  [./secondary_x]
    type = FunctionDirichletBC
    variable = disp_x
    preset = false
    boundary = 4
    function = secondary_x
  [../]
  [./secondary_y]
    type = FunctionDirichletBC
    variable = disp_y
    preset = false
    boundary = 4
    function = secondary_y
  [../]
  [./secondary_z]
    type = FunctionDirichletBC
    variable = disp_z
    preset = false
    boundary = 4
    function = secondary_z
  [../]

  [./primary_x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = '1 2'
    function = primary_x
  [../]
  [./primary_y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = '1 2'
    function = primary_y
  [../]
  [./primary_z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = '1 2'
    function = primary_z
  [../]
[] # BCs

[Materials]
  [./elasticity_tensor_1]
    type = ComputeIsotropicElasticityTensor
    block = 1
    youngs_modulus = 1.0e6
    poissons_ratio = 0.0
  [../]
  [./stress_1]
    type = ComputeFiniteStrainElasticStress
    block = 1
  [../]

  [./elasticity_tensor_2]
    type = ComputeIsotropicElasticityTensor
    block = 2
    youngs_modulus = 1.0e6
    poissons_ratio = 0.0
  [../]
  [./stress_2]
    type = ComputeFiniteStrainElasticStress
    block = 2
  [../]
[]

[Executioner]
  type = Transient

  #Preconditioned JFNK (default)
  solve_type = 'PJFNK'

  petsc_options_iname = '-pc_type -pc_factor_mat_solver_type'
  petsc_options_value = 'lu            superlu_dist'

  line_search = 'none'

  nl_abs_tol = 1e-8
  l_max_its = 100
  nl_max_its = 10
  dt = 1.0
  num_steps = 9
[] # Executioner

[Outputs]
  exodus = true
[]

(modules/solid_mechanics/test/tests/uel/small_test_expanded.i)

[Mesh]
  [gen]
    type = GeneratedMeshGenerator
    dim = 2
    nx = 20
    ny = 10
    xmax = 10
    ymax = 3
    elem_type = TRI3
  []
  [pin]
    type = ExtraNodesetGenerator
    nodes = 106
    new_boundary = pin
    input = gen
  []
  displacements = 'disp_x disp_y'
[]

[Variables]
  [disp_x]
  []
  [disp_y]
  []
[]

[BCs]
  [left_x]
    type = DirichletBC
    variable = disp_x
    boundary = left
    value = 0
  []
  [left_y]
    type = DirichletBC
    variable = disp_y
    boundary = pin
    value = 0
  []

  inactive = 'right_dirichlet'
  [right_neumann]
    type = FunctionNeumannBC
    variable = disp_x
    function = t
    boundary = right
  []
  [right_dirichlet]
    type = FunctionDirichletBC
    variable = disp_x
    function = t/10
    boundary = right
  []
[]

[UserObjects]
  [uel]
    type = AbaqusUserElement
    variables = 'disp_x disp_y'
    plugin = ../../../examples/uel_tri_tests/uel
    use_displaced_mesh = false
    num_state_vars = 18
    constant_properties = '100 0.3' # E nu
    extra_vector_tags = 'kernel_residual'
  []
[]

[Problem]
  kernel_coverage_check = false
  extra_tag_vectors = 'kernel_residual'
[]

[AuxVariables]
  [res_x]
  []
  [res_y]
  []
[]

[AuxKernels]
  [res_x]
    type = TagVectorAux
    variable = res_x
    v = disp_x
    vector_tag = kernel_residual
  []
  [res_y]
    type = TagVectorAux
    variable = res_y
    v = disp_y
    vector_tag = kernel_residual
  []
[]

[Executioner]
  type = Transient
  solve_type = NEWTON
  petsc_options_iname = '-pc_type'
  petsc_options_value = 'lu'
  dt = 1
  num_steps = 15
[]

[Postprocessors]
  [delta_l]
    type = SideAverageValue
    variable = disp_x
    boundary = right
    execute_on = 'INITIAL TIMESTEP_END'
  []
  [V]
    type = ElementIntegralMaterialProperty
    mat_prop = 1
    use_displaced_mesh = true
    execute_on = 'INITIAL TIMESTEP_END'
  []
[]

[Outputs]
  exodus = true
  csv = true
[]

(modules/contact/test/tests/mortar_cartesian_lms/two_block_1st_order_constraint_lm_xy_friction_vcp.i)

[GlobalParams]
  displacements = 'disp_x disp_y'
  volumetric_locking_correction = true
[]

theta = 0
velocity = 0.1
refine = 3

[Mesh]
  [left_block]
    type = GeneratedMeshGenerator
    dim = 2
    xmin = -0.35
    xmax = -0.05
    ymin = -1
    ymax = 0
    nx = 1
    ny = 3
    elem_type = QUAD4
  []
  [left_block_sidesets]
    type = RenameBoundaryGenerator
    input = left_block
    old_boundary = '0 1 2 3'
    new_boundary = '10 11 12 13'
  []
  [left_block_sideset_names]
    type = RenameBoundaryGenerator
    input = left_block_sidesets
    old_boundary = '10 11 12 13'
    new_boundary = 'l_bottom l_right l_top l_left'
  []
  [left_block_id]
    type = SubdomainIDGenerator
    input = left_block_sideset_names
    subdomain_id = 1
  []
  [right_block]
    type = GeneratedMeshGenerator
    dim = 2
    xmin = 0
    xmax = 0.3
    ymin = -1
    ymax = 0
    nx = 1
    ny = 2
    elem_type = QUAD4
  []
  [right_block_sidesets]
    type = RenameBoundaryGenerator
    input = right_block
    old_boundary = '0 1 2 3'
    new_boundary = '20 21 22 23'
  []
  [right_block_sideset_names]
    type = RenameBoundaryGenerator
    input = right_block_sidesets
    old_boundary = '20 21 22 23'
    new_boundary = 'r_bottom r_right r_top r_left'
  []
  [right_block_id]
    type = SubdomainIDGenerator
    input = right_block_sideset_names
    subdomain_id = 2
  []

  [combined_mesh]
    type = MeshCollectionGenerator
    inputs = 'left_block_id right_block_id'
  []

  [left_lower]
    type = LowerDBlockFromSidesetGenerator
    input = combined_mesh
    sidesets = '11'
    new_block_id = '10001'
    new_block_name = 'secondary_lower'
  []
  [right_lower]
    type = LowerDBlockFromSidesetGenerator
    input = left_lower
    sidesets = '23'
    new_block_id = '10000'
    new_block_name = 'primary_lower'
  []

  [rotate_mesh]
    type = TransformGenerator
    input = right_lower
    transform = ROTATE
    vector_value = '0 0 ${theta}'
  []

  uniform_refine = ${refine}
[]

[Variables]
  [lm_x]
    block = 'secondary_lower'
    use_dual = true
  []
  [lm_y]
    block = 'secondary_lower'
    use_dual = true
  []
[]

[AuxVariables]
  [normal_lm]
    family = LAGRANGE
    order = FIRST
  []
  [tangent_lm]
    family = LAGRANGE
    order = FIRST
  []
[]

[AuxKernels]
  [normal_lm]
    type = MortarPressureComponentAux
    variable = normal_lm
    primary_boundary = '23'
    secondary_boundary = '11'
    lm_var_x = lm_x
    lm_var_y = lm_y
    component = 'NORMAL'
    boundary = '11'
  []
  [tangent_lm]
    type = MortarPressureComponentAux
    variable = tangent_lm
    primary_boundary = '23'
    secondary_boundary = '11'
    lm_var_x = lm_x
    lm_var_y = lm_y
    component = 'tangent1'
    boundary = '11'
  []
[]

[Physics/SolidMechanics/QuasiStatic]
  [all]
    strain = FINITE
    incremental = true
    add_variables = true
    block = '1 2'
  []
[]

[Functions]
  [horizontal_movement]
    type = ParsedFunction
    expression = '${velocity} * t * cos(${theta}/180*pi)'
  []
  [vertical_movement]
    type = ParsedFunction
    expression = '${velocity} * t * sin(${theta}/180*pi)'
  []
[]

[BCs]
  [push_left_x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 13
    function = horizontal_movement
  []
  [fix_right_x]
    type = DirichletBC
    variable = disp_x
    boundary = 21
    value = 0.0
  []
  [fix_right_y]
    type = DirichletBC
    variable = disp_y
    boundary = 21
    value = 0.0
  []
  [push_left_y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 13
    function = vertical_movement
  []
[]

[Materials]
  [elasticity_tensor_left]
    type = ComputeIsotropicElasticityTensor
    block = 1
    youngs_modulus = 1.0e4
    poissons_ratio = 0.3
  []
  [stress_left]
    type = ComputeFiniteStrainElasticStress
    block = 1
  []

  [elasticity_tensor_right]
    type = ComputeIsotropicElasticityTensor
    block = 2
    youngs_modulus = 1.0e8
    poissons_ratio = 0.3
  []
  [stress_right]
    type = ComputeFiniteStrainElasticStress
    block = 2
  []
[]

[Constraints]
  [weighted_gap_lm]
    type = ComputeFrictionalForceCartesianLMMechanicalContact # ComputeCartesianLMFrictionMechanicalContact
    # type = ComputeWeightedGapLMMechanicalContact
    primary_boundary = '23'
    secondary_boundary = '11'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    lm_x = lm_x
    lm_y = lm_y
    variable = lm_x # This can be anything really
    disp_x = disp_x
    disp_y = disp_y
    use_displaced_mesh = true
    correct_edge_dropping = true
    mu = 1.0
    c_t = 1.0e5
  []
  [normal_x]
    type = CartesianMortarMechanicalContact
    primary_boundary = '23'
    secondary_boundary = '11'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    variable = lm_x
    secondary_variable = disp_x
    component = x
    use_displaced_mesh = true
    compute_lm_residuals = false
    correct_edge_dropping = true
  []
  [normal_y]
    type = CartesianMortarMechanicalContact
    primary_boundary = '23'
    secondary_boundary = '11'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    variable = lm_y
    secondary_variable = disp_y
    component = y
    use_displaced_mesh = true
    compute_lm_residuals = false
    correct_edge_dropping = true
  []
[]

[Preconditioning]
  [vcp]
    type = VCP
    full = true
    lm_variable = 'lm_x lm_y'
    primary_variable = 'disp_x disp_y'
    preconditioner = 'LU'
    is_lm_coupling_diagonal = false
    adaptive_condensation = true
  []
[]

[Executioner]
  type = Transient
  solve_type = 'NEWTON'

  petsc_options_iname = '-mat_mffd_err -pc_factor_shift_type -pc_factor_shift_amount'
  petsc_options_value = ' 1e-8          NONZERO               1e-15'

  line_search = none

  dt = 0.1
  dtmin = 0.1
  end_time = 1.0
  l_max_its = 100

  nl_max_its = 20
  nl_rel_tol = 1e-8
  snesmf_reuse_base = false
[]

[Outputs]
  exodus = true
  csv = true
[]

[Postprocessors]
  [avg_disp_x]
    type = ElementAverageValue
    variable = disp_x
    block = '1 2'
  []
  [avg_disp_y]
    type = ElementAverageValue
    variable = disp_y
    block = '1 2'
  []
  [max_disp_x]
    type = ElementExtremeValue
    variable = disp_x
    block = '1 2'
  []
  [max_disp_y]
    type = ElementExtremeValue
    variable = disp_y
    block = '1 2'
  []
  [min_disp_x]
    type = ElementExtremeValue
    variable = disp_x
    block = '1 2'
    value_type = min
  []
  [min_disp_y]
    type = ElementExtremeValue
    variable = disp_y
    block = '1 2'
    value_type = min
  []
  [num_lin_it]
    type = NumLinearIterations
  []
  [num_nonlin_it]
    type = NumNonlinearIterations
  []
  [tot_lin_it]
    type = CumulativeValuePostprocessor
    postprocessor = num_lin_it
  []
  [tot_nonlin_it]
    type = CumulativeValuePostprocessor
    postprocessor = num_nonlin_it
  []
  [max_norma_lm]
    type = ElementExtremeValue
    variable = normal_lm
  []
  [min_norma_lm]
    type = ElementExtremeValue
    variable = normal_lm
    value_type = min
  []
[]

[VectorPostprocessors]
  [normal_lm]
    type = NodalValueSampler
    block = 'secondary_lower'
    variable = normal_lm
    sort_by = 'y'
  []
  [tangent_lm]
    type = NodalValueSampler
    block = 'secondary_lower'
    variable = tangent_lm
    sort_by = 'y'
  []
[]

(test/tests/ics/from_exodus_solution/elem_part1.i)

# We run a simple problem (5 time steps and save off the solution)
# In part2, we load the solution and solve a steady problem. The test check, that the initial state in part 2 is the same as the last state from part1

[Mesh]
  type = GeneratedMesh
  dim = 2
  xmin = -1
  xmax = 1
  ymin = -1
  ymax = 1
  nx = 20
  ny = 20
[]

[Functions]
  [exact_fn]
    type = ParsedFunction
    expression = t*((x*x)+(y*y))
  []

  [forcing_fn]
    type = ParsedFunction
    expression = -4+(x*x+y*y)
  []
[]

[AuxVariables]
  [e]
    order = CONSTANT
    family = MONOMIAL
  []
[]

[AuxKernels]
  [ak]
    type = FunctionAux
    variable = e
    function = exact_fn
  []
[]

[Variables]
  active = 'u'

  [u]
    order = FIRST
    family = LAGRANGE
  []
[]

[Kernels]
  active = 'ie diff ffn'

  [ie]
    type = TimeDerivative
    variable = u
  []

  [diff]
    type = Diffusion
    variable = u
  []

  [ffn]
    type = BodyForce
    variable = u
    function = forcing_fn
  []
[]

[BCs]
  [all]
    type = FunctionDirichletBC
    variable = u
    boundary = '0 1 2 3'
    function = exact_fn
  []
[]

[Executioner]
  type = Transient

  solve_type = 'PJFNK'

  dt = 0.2
  start_time = 0
  num_steps = 5
[]

[Outputs]
  exodus = true
  checkpoint = true
[]

(modules/solid_mechanics/test/tests/capped_mohr_coulomb/small_deform16.i)

# Using CappedMohrCoulomb with compressive failure only
# A single element is incrementally compressed in the z and x directions
# This causes the return direction to be along the hypersurface sigma_I = sigma_II
# and the resulting stresses are checked to lie on the expected yield surface

[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]


[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]

[Physics/SolidMechanics/QuasiStatic]
  [./all]
    add_variables = true
    incremental = true
    generate_output = 'max_principal_stress mid_principal_stress min_principal_stress stress_xx stress_xy stress_xz stress_yy stress_yz stress_zz'
  [../]
[]

[BCs]
  [./x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'front back'
    function = '-1*x*t'
  [../]
  [./y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'front back'
    function = '-0.4*y*t'
  [../]
  [./z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'front back'
    function = '-0.4*z*t'
  [../]
[]

[AuxVariables]
  [./yield_fcn]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]

[AuxKernels]
  [./yield_fcn_auxk]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 3
    variable = yield_fcn
  [../]
[]

[Postprocessors]
  [./s_I]
    type = PointValue
    point = '0 0 0'
    variable = max_principal_stress
  [../]
  [./s_II]
    type = PointValue
    point = '0 0 0'
    variable = mid_principal_stress
  [../]
  [./s_III]
    type = PointValue
    point = '0 0 0'
    variable = min_principal_stress
  [../]
  [./f]
    type = PointValue
    point = '0 0 0'
    variable = yield_fcn
  [../]
[]

[UserObjects]
  [./ts]
    type = SolidMechanicsHardeningConstant
    value = 1E6
  [../]
  [./cs]
    type = SolidMechanicsHardeningConstant
    value = 1
  [../]
  [./coh]
    type = SolidMechanicsHardeningConstant
    value = 1E6
  [../]
  [./ang]
    type = SolidMechanicsHardeningConstant
    value = 0.5
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    fill_method = symmetric_isotropic
    C_ijkl = '0 2.0'
  [../]
  [./tensile]
    type = CappedMohrCoulombStressUpdate
    tensile_strength = ts
    compressive_strength = cs
    cohesion = coh
    friction_angle = ang
    dilation_angle = ang
    smoothing_tol = 0.5
    yield_function_tol = 1.0E-12
  [../]
  [./stress]
    type = ComputeMultipleInelasticStress
    inelastic_models = tensile
    perform_finite_strain_rotations = false
  [../]
[]


[Executioner]
  end_time = 1
  dt = 0.1
  type = Transient
[]


[Outputs]
  file_base = small_deform16
  csv = true
[]

(modules/solid_mechanics/test/tests/crystal_plasticity/hcp_single_crystal/update_method_hcp_aprismatic_capyramidal.i)

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]

[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 2
  ny = 2
  nz = 2
  elem_type = HEX8
[]

[AuxVariables]
  [temperature]
  []
  [pk2]
    order = CONSTANT
    family = MONOMIAL
  []
  [fp_xx]
    order = CONSTANT
    family = MONOMIAL
  []
  [fp_zz]
    order = CONSTANT
    family = MONOMIAL
  []
  [e_zz]
    order = CONSTANT
    family = MONOMIAL
  []
  [resolved_shear_stress_3]
    order = CONSTANT
    family = MONOMIAL
  []
  [resolved_shear_stress_4]
    order = CONSTANT
    family = MONOMIAL
  []
  [resolved_shear_stress_5]
    order = CONSTANT
    family = MONOMIAL
  []
  [resolved_shear_stress_6]
    order = CONSTANT
    family = MONOMIAL
  []
  [slip_resistance_0]
    order = CONSTANT
    family = MONOMIAL
  []
  [slip_resistance_3]
    order = CONSTANT
    family = MONOMIAL
  []
[]

[Physics/SolidMechanics/QuasiStatic/all]
  strain = FINITE
  incremental= true
  add_variables = true
  generate_output = stress_zz
[]

[AuxKernels]
  [temperature]
    type = ConstantAux
    variable = temperature
    value= 300
  []
  [pk2]
    type = RankTwoAux
    variable = pk2
    rank_two_tensor = second_piola_kirchhoff_stress
    index_j = 2
    index_i = 2
    execute_on = timestep_end
  []
  [fp_xx]
    type = RankTwoAux
    variable = fp_xx
    rank_two_tensor = plastic_deformation_gradient
    index_j = 0
    index_i = 0
    execute_on = timestep_end
  []
  [fp_zz]
    type = RankTwoAux
    variable = fp_zz
    rank_two_tensor = plastic_deformation_gradient
    index_j = 2
    index_i = 2
    execute_on = timestep_end
  []
  [e_zz]
    type = RankTwoAux
    variable = e_zz
    rank_two_tensor = total_lagrangian_strain
    index_j = 2
    index_i = 2
    execute_on = timestep_end
  []
  [tau_3]
    type = MaterialStdVectorAux
    variable = resolved_shear_stress_3
    property = applied_shear_stress
    index = 3
    execute_on = timestep_end
  []
  [tau_4]
    type = MaterialStdVectorAux
    variable = resolved_shear_stress_4
    property = applied_shear_stress
    index = 4
    execute_on = timestep_end
  []
  [tau_5]
    type = MaterialStdVectorAux
    variable = resolved_shear_stress_5
    property = applied_shear_stress
    index = 5
    execute_on = timestep_end
  []
  [tau_6]
    type = MaterialStdVectorAux
    variable = resolved_shear_stress_6
    property = applied_shear_stress
    index = 6
    execute_on = timestep_end
  []
  [slip_resistance_0]
    type = MaterialStdVectorAux
    variable = slip_resistance_0
    property = slip_resistance
    index = 0
    execute_on = timestep_end
  []
  [slip_resistance_3]
    type = MaterialStdVectorAux
    variable = slip_resistance_3
    property = slip_resistance
    index = 3
    execute_on = timestep_end
  []
[]

[BCs]
  [symmy]
    type = DirichletBC
    variable = disp_y
    preset = true
    boundary = bottom
    value = 0
  []
  [symmx]
    type = DirichletBC
    variable = disp_x
    boundary = left
    value = 0
  []
  [symmz]
    type = DirichletBC
    variable = disp_z
    boundary = back
    value = 0
  []
  [tdisp]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = front
    function = '0.001*t'
  []
[]

[Materials]
  [elasticity_tensor]
    type = ComputeElasticityTensorCP
    C_ijkl = '1.622e5 9.18e4 6.88e4 1.622e5 6.88e4 1.805e5 4.67e4 4.67e4 4.67e4' #alpha Ti, Alankar et al. Acta Materialia 59 (2011) 7003-7009
    fill_method = symmetric9
  []
  [stress]
    type = ComputeMultipleCrystalPlasticityStress
    crystal_plasticity_models = 'trial_xtalpl'
    tan_mod_type = exact
  []
  [trial_xtalpl]
    type = CrystalPlasticityHCPDislocationSlipBeyerleinUpdate
    number_slip_systems = 15
    slip_sys_file_name = hcp_aprismatic_capyramidal_slip_sys.txt
    unit_cell_dimension = '2.934e-7 2.934e-7 4.657e-7' #Ti, in mm, https://materialsproject.org/materials/mp-46/
    temperature = temperature
    initial_forest_dislocation_density = 15.0e5
    initial_substructure_density = 1.0e3
    slip_system_modes = 2
    number_slip_systems_per_mode = '3 12'
    lattice_friction_per_mode = '98 224' #Knezevic et al MSEA 654 (2013)
    effective_shear_modulus_per_mode = '4.7e4 4.7e4' #Ti, in MPa, https://materialsproject.org/materials/mp-46/
    burgers_vector_per_mode = '2.934e-7 6.586e-7' #Ti, in mm, https://materialsproject.org/materials/mp-46/
    slip_generation_coefficient_per_mode = '1.25e5 2.25e7' #from Beyerlein and Tome 2008 IJP
    normalized_slip_activiation_energy_per_mode = '3.73e-3 3.2e-2' #from Beyerlein and Tome 2008 IJP
    slip_energy_proportionality_factor_per_mode = '330 100' #from Beyerlein and Tome 2008 IJP
    substructure_rate_coefficient_per_mode = '355 0.4' #from Capolungo et al MSEA (2009)
    applied_strain_rate = 0.001
    gamma_o = 1.0e-3
    Hall_Petch_like_constant_per_mode = '0.2 0.2' #Estimated to match graph in Capolungo et al MSEA (2009), Figure 2
    grain_size = 20.0e-3 #20 microns, Beyerlein and Tome IJP (2008)
  []
[]

[Postprocessors]
  [stress_zz]
    type = ElementAverageValue
    variable = stress_zz
  []
  [pk2]
    type = ElementAverageValue
    variable = pk2
  []
  [fp_xx]
    type = ElementAverageValue
    variable = fp_xx
  []
  [fp_zz]
    type = ElementAverageValue
    variable = fp_zz
  []
  [e_zz]
    type = ElementAverageValue
    variable = e_zz
  []
  [tau_3]
    type = ElementAverageValue
    variable = resolved_shear_stress_3
  []
  [tau_4]
    type = ElementAverageValue
    variable = resolved_shear_stress_4
  []
  [tau_5]
    type = ElementAverageValue
    variable = resolved_shear_stress_5
  []
  [tau_6]
    type = ElementAverageValue
    variable = resolved_shear_stress_6
  []
  [slip_resistance_0]
    type = ElementAverageValue
    variable = slip_resistance_0
  []
  [slip_resistance_3]
    type = ElementAverageValue
    variable = slip_resistance_3
  []
[]

[Preconditioning]
  [smp]
    type = SMP
    full = true
  []
[]

[Executioner]
  type = Transient
  solve_type = 'PJFNK'

  petsc_options_iname = '-pc_type -pc_asm_overlap -sub_pc_type -ksp_type -ksp_gmres_restart'
  petsc_options_value = ' asm      2              lu            gmres     200'
  nl_abs_tol = 1e-10
  nl_rel_tol = 1e-10
  nl_abs_step_tol = 1e-10

  dt = 0.5
  dtmin = 1.0e-2
  dtmax = 10.0
  end_time = 5
[]

[Outputs]
  csv = true
[]

(modules/combined/test/tests/evolving_mass_density/uniform_expand_compress_test_tensors.i)

#  Element mass tests

#  This series of tests is designed to compute the mass of elements based on
#  an evolving mass density calculation.  The tests consist of expansion and compression
#  of the elastic patch test model along each axis, uniform expansion and compression,
#  and shear in each direction.  The expansion and compression tests change the volume of
#  the elements.  The corresponding change in density should compensate for this so the
#  mass remains constant.  The shear tests should not result in a volume change, and this
#  is checked too.  The mass calculation is done with the post processor called Mass.

#  The tests/file names are as follows:

#  Expansion and compression along a single axis
#  expand_compress_x_test_out.e
#  expand_compress_y_test_out.e
#  expand_compress_z_test_out.e

#  Volumetric expansion and compression
#  uniform_expand_compress_test.i

#  Zero volume change shear along each axis
#  shear_x_test_out.e
#  shear_y_test_out.e
#  shear_z_test_out.e

#  The resulting mass calculation for these tests should always be = 1.

# This test is a duplicate of the uniform_expand_compress_test.i test for solid mechanics, and the
#   output of this tensor mechanics test is compared to the original
#   solid mechanics output.  The duplication is necessary to test the
#   migrated tensor mechanics version while maintaining tests for solid mechanics.

[Mesh]
  file = elastic_patch.e
[]

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]

[Functions]
  [./rampConstant2]
    type = PiecewiseLinear
    x = '0.00 1.00  2.0   3.00'
    y = '0.00 0.25  0.0  -0.25'
    scale_factor = 1
  [../]
[]

[Variables]
  [./disp_x]
    order = FIRST
    family = LAGRANGE
  [../]
  [./disp_y]
    order = FIRST
    family = LAGRANGE
  [../]
  [./disp_z]
    order = FIRST
    family = LAGRANGE
  [../]
[]

[Kernels]
  [./TensorMechanics]
  [../]
[]

[BCs]
  [./9_y]
    type = DirichletBC
    variable = disp_y
    boundary = 9
    value = 0
  [../]
  [./10_y]
    type = DirichletBC
    variable = disp_x
    boundary = 10
    value = 0
  [../]
  [./14_y]
    type = DirichletBC
    variable = disp_z
    boundary = 14
    value = 0
  [../]

  [./top]
    type = FunctionDirichletBC
    variable = disp_y
    preset = false
    boundary = 11
    function = rampConstant2
  [../]
  [./front]
    type = FunctionDirichletBC
    variable = disp_z
    preset = false
    boundary = 13
    function = rampConstant2
  [../]
  [./side]
    type = FunctionDirichletBC
    variable = disp_x
    preset = false
    boundary = 12
    function = rampConstant2
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeIsotropicElasticityTensor
    block = '1 2 3 4 5 6 7'
    youngs_modulus = 1e6
    poissons_ratio = 0.0
  [../]

  [./small_strain]
    type = ComputeSmallStrain
    block = ' 1 2 3 4 5 6 7'
  [../]

  [./elastic_stress]
    type = ComputeLinearElasticStress
    block = '1 2 3 4 5 6 7'
  [../]
[]

[Executioner]

  type = Transient

  #Preconditioned JFNK (default)
  solve_type = 'PJFNK'

  nl_abs_tol = 1e-10
  l_max_its = 20
  start_time = 0.0
  dt = 1.0
  num_steps = 3
  end_time =3.0
[]

[Outputs]
  [./out]
    type = Exodus
    elemental_as_nodal = true
    file_base = uniform_expand_compress_test_out
  [../]
[]

[Postprocessors]
  [./Mass]
    type = Mass
    variable = disp_x
    execute_on = 'initial timestep_end'
  [../]
[]

(modules/contact/test/tests/nodal_area/nodal_area_Hex27.i)

[Mesh]
  file = nodal_area_Hex27.e
[]

[GlobalParams]
  order = SECOND
  displacements = 'displ_x displ_y displ_z'
[]

[Functions]
  [./disp]
    type = PiecewiseLinear
    x = '0     1'
    y = '0  20e-6'
  [../]
[]

[Variables]
  [./displ_x]
  [../]
  [./displ_y]
  [../]
  [./displ_z]
  [../]
[]

[AuxVariables]
  [./react_x]
  [../]
  [./react_y]
  [../]
  [./react_z]
  [../]
[]

[Physics/SolidMechanics/QuasiStatic]
  [./all]
    incremental = true
    save_in = 'react_x react_y react_z'
    add_variables = true
    strain = FINITE
    generate_output = 'stress_xx'
  [../]
[]

[BCs]
  [./move_right]
    type = FunctionDirichletBC
    boundary = '1'
    variable = displ_x
    function = disp
  [../]

  [./fixed_x]
    type = DirichletBC
    boundary = '3 4'
    variable = displ_x
    value = 0
  [../]

  [./fixed_y]
    type = DirichletBC
    boundary = 10
    variable = displ_y
    value = 0
  [../]

  [./fixed_z]
    type = DirichletBC
    boundary = 11
    variable = displ_z
    value = 0
  [../]
[]

[Contact]
  [./dummy_name]
    primary = 3
    secondary = 2
    penalty = 1e8
    tangential_tolerance = 1e-4
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeIsotropicElasticityTensor
    block = '1 2'
    youngs_modulus = 1e6
    poissons_ratio = 0.0
  [../]

  [./stress]
    type = ComputeFiniteStrainElasticStress
    block = '1 2'
  [../]
[]

[Executioner]
  type = Transient
  solve_type = 'PJFNK'

  #petsc_options_iname = '-snes_type -snes_ls -snes_linesearch_type -ksp_gmres_restart -pc_type'
  #petsc_options_value = 'ls         basic    basic                    201                lu'
  petsc_options_iname = '-ksp_gmres_restart -pc_type -pc_hypre_type -pc_hypre_boomeramg_max_iter'
  petsc_options_value = '201                hypre    boomeramg      4'

  line_search = 'none'

  nl_abs_tol = 1e-7
  nl_rel_tol = 1e-6

  l_tol = 1e-4
  l_max_its = 40

  start_time = 0.0
  dt = 1.0
  end_time = 1.0
  num_steps = 100

  [./Quadrature]
    order = THIRD
  [../]
[]

[Postprocessors]
  [./react_x]
    type = NodalSum
    variable = react_x
    boundary = 1
  [../]
  [./total_area]
    type = NodalSum
    variable = nodal_area
    boundary = 2
  [../]
[]

[Outputs]
  exodus = true
[]

(test/tests/controls/time_periods/bcs/bcs_enable_disable.i)

[Mesh]
  type = GeneratedMesh
  dim = 2
  nx = 10
  ny = 10
[]

[Variables]
  [./u]
  [../]
[]

[Kernels]
  [./diff]
    type = CoefDiffusion
    variable = u
    coef = 0.1
  [../]
  [./time]
    type = TimeDerivative
    variable = u
  [../]
[]

[BCs]
  [./left]
    type = DirichletBC
    variable = u
    boundary = left
    value = 0
  [../]
  [./right]
    type = DirichletBC
    variable = u
    boundary = right
    value = 1
  [../]
  [./right2]
    type = FunctionDirichletBC
    variable = u
    boundary = right
    function = (y*(t-1))+1
  [../]
[]

[Executioner]
  type = Transient
  num_steps = 10
  dt = 0.1
  solve_type = PJFNK
  petsc_options_iname = '-pc_type -pc_hypre_type'
  petsc_options_value = 'hypre boomeramg'
[]

[Outputs]
  exodus = true
[]

[Controls/period0]
  type = TimePeriod
  enable_objects = 'BCs::right'
  disable_objects = 'BCs::right2'
  start_time = '0'
  end_time = '0.5'
  execute_on = 'initial timestep_begin'
[]

(modules/solid_mechanics/test/tests/capped_mohr_coulomb/small_deform12.i)

# Using CappedMohrCoulomb with compressive failure only
# checking for small deformation
# A single element is stretched equally in all directions.
# This causes the return direction to be along the sigma_I = sigma_II = sigma_III line
# compressive_strength is set to 1Pa, and smoothing_tol = 0.1Pa
# The smoothed yield function comes from two smoothing operations.
# The first is on sigma_I and sigma_II (sigma_I >= sigma_II >= sigma_III):
# yf = -sigma_I + ismoother(0) - compressive_strength
#    = -sigma_I + (0.5 * smoothing_tol - smoothing_tol / Pi) - compressive_strength
#    = -sigma_I + 0.018169 - 1
# The second has the argument of ismoother equal to -0.018169.
# ismoother(-0.018169) = 0.5 * (-0.018169 + 0.1) - 0.1 * cos (0.5 * Pi * -0.018169 / 0.1) / Pi
#                     = 0.010372
# So the final yield function is
# yf = -sigma_I + 0.018169 + 0.010372 - 1 = -sigma_I + 0.028541 - 1
# However, because of the asymmetry in smoothing (the yield function is obtained
# by first smoothing -sigma_I-cs and -sigma_II-cs, and then by smoothing this
# result with -sigma_III-cs) the result is sigma_I > sigma_II = sigma_III


[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]

[Physics/SolidMechanics/QuasiStatic]
  [./all]
    add_variables = true
    incremental = true
    generate_output = 'max_principal_stress mid_principal_stress min_principal_stress stress_xx stress_xy stress_xz stress_yy stress_yz stress_zz'
  [../]
[]

[BCs]
  [./x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'front back'
    function = '-1E-6*x'
  [../]
  [./y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'front back'
    function = '-1E-6*y'
  [../]
  [./z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'front back'
    function = '-1E-6*z'
  [../]
[]

[AuxVariables]
  [./yield_fcn]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]

[AuxKernels]
  [./yield_fcn_auxk]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 0
    variable = yield_fcn
  [../]
[]

[Postprocessors]
  [./s_I]
    type = PointValue
    point = '0 0 0'
    variable = max_principal_stress
  [../]
  [./s_II]
    type = PointValue
    point = '0 0 0'
    variable = mid_principal_stress
  [../]
  [./s_III]
    type = PointValue
    point = '0 0 0'
    variable = min_principal_stress
  [../]
  [./s_xx]
    type = PointValue
    point = '0 0 0'
    variable = stress_xx
  [../]
  [./s_xy]
    type = PointValue
    point = '0 0 0'
    variable = stress_xy
  [../]
  [./s_xz]
    type = PointValue
    point = '0 0 0'
    variable = stress_xz
  [../]
  [./s_yy]
    type = PointValue
    point = '0 0 0'
    variable = stress_yy
  [../]
  [./s_yz]
    type = PointValue
    point = '0 0 0'
    variable = stress_yz
  [../]
  [./s_zz]
    type = PointValue
    point = '0 0 0'
    variable = stress_zz
  [../]
  [./f]
    type = PointValue
    point = '0 0 0'
    variable = yield_fcn
  [../]
[]

[UserObjects]
  [./ts]
    type = SolidMechanicsHardeningConstant
    value = 1
  [../]
  [./cs]
    type = SolidMechanicsHardeningConstant
    value = 1
  [../]
  [./coh]
    type = SolidMechanicsHardeningConstant
    value = 1E6
  [../]
  [./ang]
    type = SolidMechanicsHardeningConstant
    value = 0.5
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    block = 0
    fill_method = symmetric_isotropic
    C_ijkl = '0 2.0E6'
  [../]
  [./tensile]
    type = CappedMohrCoulombStressUpdate
    tensile_strength = ts
    compressive_strength = cs
    cohesion = coh
    friction_angle = ang
    dilation_angle = ang
    smoothing_tol = 0.1
    yield_function_tol = 1.0E-12
  [../]
  [./stress]
    type = ComputeMultipleInelasticStress
    inelastic_models = tensile
    perform_finite_strain_rotations = false
  [../]
[]


[Executioner]
  end_time = 1
  dt = 1
  type = Transient
[]


[Outputs]
  file_base = small_deform12
  csv = true
[]

(modules/solid_mechanics/test/tests/lagrangian/axisymmetric_cylindrical/total/jacobian/dirichlet.i)

[GlobalParams]
  displacements = 'disp_r disp_z'
  large_kinematics = true
  stabilize_strain = true
[]

[Mesh]
  [gmg]
    type = GeneratedMeshGenerator
    dim = 2
    nx = 2
    ny = 2
  []
[]

[Problem]
  coord_type = RZ
[]

[Variables]
  [disp_r]
  []
  [disp_z]
  []
[]

[Kernels]
  [sdr]
    type = TotalLagrangianStressDivergenceAxisymmetricCylindrical
    variable = disp_r
    component = 0
  []
  [sdz]
    type = TotalLagrangianStressDivergenceAxisymmetricCylindrical
    variable = disp_z
    component = 1
  []
[]

[BCs]
  [bottom]
    type = DirichletBC
    preset = false
    variable = disp_z
    boundary = bottom
    value = 0.0
  []
  [top]
    type = FunctionDirichletBC
    preset = false
    variable = disp_z
    boundary = top
    function = 't'
  []
[]

[Materials]
  [elastic_tensor]
    type = ComputeIsotropicElasticityTensor
    youngs_modulus = 1000.0
    poissons_ratio = 0.25
  []
  [compute_stress]
    type = ComputeLagrangianLinearElasticStress
  []
  [compute_strain]
    type = ComputeLagrangianStrainAxisymmetricCylindrical
  []
[]

[Executioner]
  type = Transient

  solve_type = NEWTON

  petsc_options_iname = '-pc_type'
  petsc_options_value = 'lu'
  automatic_scaling = true

  nl_abs_tol = 1e-10
  nl_rel_tol = 1e-10

  dt = 0.1
  num_steps = 5
[]

(modules/navier_stokes/test/tests/finite_element/pins/channel-flow/pm_reverse_flow.i)

# This test case tests the porous-medium flow when flow reversal happens

[GlobalParams]
  gravity = '0 0 0'

  order = FIRST
  family = LAGRANGE

  u = vel_x
  v = vel_y
  pressure = p
  temperature = T
  porosity = porosity
  eos = eos
[]

[Mesh]
  type = GeneratedMesh
  dim = 2
  xmin = 0
  xmax = 1
  ymin = 0
  ymax = 0.1
  nx = 10
  ny = 4
  elem_type = QUAD4
[]

[FluidProperties]
  [eos]
    type = SimpleFluidProperties
    density0 = 100              # kg/m^3
    thermal_expansion = 0       # K^{-1}
    cp =  100
    viscosity = 0.1             # Pa-s, Re=rho*u*L/mu = 100*1*0.1/0.1 = 100
    thermal_conductivity = 0.1
  []
[]

[Functions]
  [v_in]
    type = PiecewiseLinear
    x = '0   5    10  1e5'
    y = '1   0    -1  -1'
  []
  [T_in]
    type = PiecewiseLinear
    x = '0    1e5'
    y = '630  630'
  []
[]

[Variables]
  # velocity
  [vel_x]
    initial_condition = 1
  []
  [vel_y]
    initial_condition = 0
  []
  [p]
    initial_condition = 1e5
  []
  [T]
    scaling = 1e-3
    initial_condition = 630
  []
[]

[AuxVariables]
  [rho]
    initial_condition = 100
  []
  [porosity]
    initial_condition = 0.4
  []
  [vol_heat]
    initial_condition = 1e6
  []
  [T_out_scalar]
    family = SCALAR
    order = FIRST
    initial_condition = 630
  []
[]

[Materials]
  [mat]
    type = PINSFEMaterial
    alpha = 1000
    beta = 100
  []
[]


[Kernels]
  [mass_time]
    type = PINSFEFluidPressureTimeDerivative
    variable = p
  []
  [mass_space]
    type = INSFEFluidMassKernel
    variable = p
  []

  [x_momentum_time]
    type = PINSFEFluidVelocityTimeDerivative
    variable = vel_x
  []
  [x_momentum_space]
    type = INSFEFluidMomentumKernel
    variable = vel_x
    component = 0
  []

  [y_momentum_time]
    type = PINSFEFluidVelocityTimeDerivative
    variable = vel_y
  []
  [y_momentum_space]
    type = INSFEFluidMomentumKernel
    variable = vel_y
    component = 1
  []

  [temperature_time]
    type = PINSFEFluidTemperatureTimeDerivative
    variable = T
  [../]
  [temperature_space]
    type = INSFEFluidEnergyKernel
    variable = T
    power_density = vol_heat
  []
[]

[AuxKernels]
  [rho_aux]
    type = FluidDensityAux
    variable = rho
    p = p
    T = T
    fp = eos
  []
[]

[BCs]
  # BCs for mass equation
  # Inlet
  [mass_inlet]
    type = INSFEFluidMassBC
    variable = p
    boundary = 'left'
    v_fn = v_in
  []
  # Outlet
  [./pressure_out]
    type = DirichletBC
    variable = p
    boundary = 'right'
    value = 1e5
  [../]

  # BCs for x-momentum equation
  # Inlet
  [vx_in]
    type = FunctionDirichletBC
    variable = vel_x
    boundary = 'left'
    function = v_in
  []
  # Outlet (no BC is needed)

  # BCs for y-momentum equation
  # Both Inlet and Outlet, and Top and Bottom
  [vy]
    type = DirichletBC
    variable = vel_y
    boundary = 'left right bottom top'
    value = 0
  []

  # BCs for energy equation
  [T_in]
    type = INSFEFluidEnergyDirichletBC
    variable = T
    boundary = 'left'
    out_norm = '-1 0 0'
    T_fn = 630
  []
  [T_out]
    type = INSFEFluidEnergyDirichletBC
    variable = T
    boundary = 'right'
    out_norm = '1 0 0'
    T_scalar = T_out_scalar
  []
[]

[Preconditioning]
  [SMP_PJFNK]
    type = SMP
    full = true
    solve_type = 'PJFNK'
  []
[]

[Postprocessors]
  [p_in]
    type = SideAverageValue
    variable = p
    boundary = left
  []
  [p_out]
    type = SideAverageValue
    variable = p
    boundary = right
  []
  [T_in]
    type = SideAverageValue
    variable = T
    boundary = left
  []
  [T_out]
    type = SideAverageValue
    variable = T
    boundary = right
  []
[]

[Executioner]
  type = Transient

  dt = 0.5
  dtmin = 1.e-3

  petsc_options_iname = '-pc_type -ksp_gmres_restart'
  petsc_options_value = 'lu 100'

  nl_rel_tol = 1e-10
  nl_abs_tol = 1e-8
  nl_max_its = 20

  l_tol = 1e-5
  l_max_its = 100

  start_time = 0.0
  end_time = 10
  num_steps = 20
[]

[Outputs]
  perf_graph = true
  print_linear_residuals = false
  time_step_interval = 1
  execute_on = 'initial timestep_end'
  [console]
    type = Console
    output_linear = false
  []
  [out]
    type = Exodus
    use_displaced = false
    hide = 'T_out_scalar'
  []
[]

(modules/heat_transfer/test/tests/verify_against_analytical/2d_steady_state.i)

# This test solves a 2D steady state heat equation
# The error is found by comparing to the analytical solution

# Note that the thermal conductivity, specific heat, and density in this problem
# Are set to 1, and need to be changed to the constants of the material being
# Analyzed

[Mesh]
  type = GeneratedMesh
  dim = 2
  nx = 30
  ny = 30
  xmax = 2
  ymax = 2
[]

[Variables]
  [./T]
  [../]
[]

[Kernels]
  [./HeatDiff]
    type = HeatConduction
    variable = T
  [../]
[]

[BCs]
  [./zero]
    type = DirichletBC
    variable = T
    boundary = 'left right bottom'
    value = 0
  [../]
  [./top]
    type = FunctionDirichletBC
    variable = T
    boundary = top
    function = '10*sin(pi*x*0.5)'
  [../]
[]

[Materials]
  [./properties]
    type = GenericConstantMaterial
    prop_names = 'thermal_conductivity specific_heat density'
    prop_values = '1 1 1'
  [../]
[]

[Postprocessors]
  [./nodal_error]
    type = NodalL2Error
    function = '10/(sinh(pi))*sin(pi*x*0.5)*sinh(pi*y*0.5)'
    variable = T
  [../]
  [./elemental_error]
    type = ElementL2Error
    function = '10/(sinh(pi))*sin(pi*x*0.5)*sinh(pi*y*0.5)'
    variable = T
  [../]
[]

[Executioner]
  type = Steady
[]

[Outputs]
  exodus = true
[]

(modules/solid_mechanics/test/tests/central_difference/consistent/2D/2d_consistent_explicit.i)

# Test for the central difference time integrator for a 2D mesh

[Mesh]
  type = GeneratedMesh
  dim = 2
  nx = 1
  ny = 2
  xmin = 0.0
  xmax = 1.0
  ymin = 0.0
  ymax = 2.0
[]

[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
[]

[AuxVariables]
  [./vel_x]
  [../]
  [./accel_x]
  [../]
  [./vel_y]
  [../]
  [./accel_y]
  [../]
[]

[Kernels]
  [./DynamicSolidMechanics]
    displacements = 'disp_x disp_y'
  [../]
  [./inertia_x]
    type = InertialForce
    variable = disp_x
  [../]
  [./inertia_y]
    type = InertialForce
    variable = disp_y
  [../]
[]

[AuxKernels]
  [./accel_x]
    type = TestNewmarkTI
    variable = accel_x
    displacement = disp_x
    first = false
  [../]
  [./vel_x]
    type = TestNewmarkTI
    variable = vel_x
    displacement = disp_x
  [../]
  [./accel_y]
    type = TestNewmarkTI
    variable = accel_y
    displacement = disp_y
    first = false
  [../]
  [./vel_y]
    type = TestNewmarkTI
    variable = vel_y
    displacement = disp_y
  [../]
[]

[BCs]
  [./y_bot]
    type = DirichletBC
    variable = disp_y
    boundary = bottom
    value = 0.0
  [../]
  [./x_bot]
    type = FunctionDirichletBC
    boundary = bottom
    variable = disp_x
    function = disp
    preset = false
  [../]
[]

[Functions]
  [./disp]
    type = PiecewiseLinear
    x = '0.0 1.0 2.0 3.0 4.0' # time
    y = '0.0 1.0 0.0 -1.0 0.0'  # displacement
  [../]
[]

[Materials]
  [./elasticity_tensor_block]
    type = ComputeIsotropicElasticityTensor
    youngs_modulus = 1e6
    poissons_ratio = 0.25
    block = 0
  [../]
  [./strain_block]
    type = ComputeIncrementalStrain
    block = 0
    displacements = 'disp_x disp_y'
    implicit = false
  [../]
  [./stress_block]
    type = ComputeFiniteStrainElasticStress
    block = 0
  [../]
  [./density]
    type = GenericConstantMaterial
    block = 0
    prop_names = density
    prop_values = 1e4
  [../]
[]

[Executioner]
  type = Transient
  start_time = 0
  end_time = 0.1
  dt = 0.005
  timestep_tolerance = 1e-6
  [./TimeIntegrator]
    type = CentralDifference
  [../]
[]

[Postprocessors]
  [./_dt]
    type = TimestepSize
  [../]
  [./accel_2x]
    type = PointValue
    point = '1.0 2.0 0.0'
    variable = accel_x
  [../]
  [./accel_2y]
    type = PointValue
    point = '1.0 2.0 0.0'
    variable = accel_y
  [../]
[]

[Outputs]
  exodus = false
  csv = true
[]

(modules/solid_mechanics/test/tests/finite_strain_jacobian/3d_bar.i)

[Mesh]
  [generated_mesh]
    type = GeneratedMeshGenerator
    dim = 3
    xmin = 0
    xmax = 2
    ymin = 0
    ymax = 2
    zmin = 0
    zmax = 10
    nx = 10
    ny = 2
    nz = 2
    elem_type = HEX8
  []
  [corner]
    type = ExtraNodesetGenerator
    new_boundary = 101
    coord = '0 0 0'
    input = generated_mesh
  []
  [side]
    type = ExtraNodesetGenerator
    new_boundary = 102
    coord = '2 0 0'
    input = corner
  []
[]

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]

[Physics/SolidMechanics/QuasiStatic]
  [./all]
    strain = FINITE
    add_variables = true
    use_finite_deform_jacobian = true
    volumetric_locking_correction = false
  [../]
[]

[Materials]
  [./stress]
    type = ComputeFiniteStrainElasticStress
  [../]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    fill_method = symmetric9
    C_ijkl = '1.684e5 0.176e5 0.176e5 1.684e5 0.176e5 1.684e5 0.754e5 0.754e5 0.754e5'
  [../]
[]

[BCs]
 [./fix_corner_x]
   type = DirichletBC
   variable = disp_x
   boundary = 101
   value = 0
 [../]
 [./fix_corner_y]
   type = DirichletBC
   variable = disp_y
   boundary = 101
   value = 0
 [../]
 [./fix_side_y]
   type = DirichletBC
   variable = disp_y
   boundary = 102
   value = 0
 [../]
 [./fix_z]
   type = DirichletBC
   variable = disp_z
   boundary = back
   value = 0
 [../]
 [./move_z]
   type = FunctionDirichletBC
   variable = disp_z
   boundary = front
   function = 't'
 [../]
[]

[Executioner]
  type = Transient

  solve_type = NEWTON
  petsc_options_iname = '-pc_type'
  petsc_options_value = 'lu'

  nl_rel_tol = 1e-10
  nl_max_its = 10

  l_tol  = 1e-4
  l_max_its = 50

  dt = 0.2
  dtmin = 0.2

  num_steps = 2
[]

[Preconditioning]
  [./smp]
    type = SMP
    full = true
  [../]
[]

[Outputs]
  exodus = true
[]

(test/tests/geomsearch/3d_moving_penetration/pl_test2tt.i)

[GlobalParams]
  order = FIRST
  family = LAGRANGE
[]

[Mesh]
  file = pl_test2tt.e
  displacements = 'disp_x disp_y disp_z'
[]

[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
[]

[AuxVariables]
  [./distance]
  [../]
  [./tangential_distance]
  [../]
  [./normal_x]
  [../]
  [./normal_y]
  [../]
  [./normal_z]
  [../]
  [./closest_point_x]
  [../]
  [./closest_point_y]
  [../]
  [./closest_point_z]
  [../]
  [./element_id]
  [../]
  [./side]
  [../]
[]

[Kernels]
  [./diff_x]
    type = Diffusion
    variable = disp_x
  [../]
  [./diff_y]
    type = Diffusion
    variable = disp_y
  [../]
  [./diff_z]
    type = Diffusion
    variable = disp_z
  [../]
[]

[AuxKernels]
  [./penetrate]
    type = PenetrationAux
    variable = distance
    boundary = 11            #secondary
    paired_boundary = 12     #primary
    tangential_tolerance = 0.1
  [../]

  [./penetrate2]
    type = PenetrationAux
    variable = distance
    boundary = 12            #secondary
    paired_boundary = 11     #primary
    tangential_tolerance = 0.1
  [../]

  [./penetrate3]
    type = PenetrationAux
    variable = tangential_distance
    boundary = 11
    paired_boundary = 12
    quantity = tangential_distance
  [../]

  [./penetrate4]
    type = PenetrationAux
    variable = tangential_distance
    boundary = 12
    paired_boundary = 11
    quantity = tangential_distance
  [../]

  [./penetrate5]
    type = PenetrationAux
    variable = normal_x
    boundary = 11
    paired_boundary = 12
    quantity = normal_x
  [../]

  [./penetrate6]
    type = PenetrationAux
    variable = normal_x
    boundary = 12
    paired_boundary = 11
    quantity = normal_x
  [../]

  [./penetrate7]
    type = PenetrationAux
    variable = normal_y
    boundary = 11
    paired_boundary = 12
    quantity = normal_y
  [../]

  [./penetrate8]
    type = PenetrationAux
    variable = normal_y
    boundary = 12
    paired_boundary = 11
    quantity = normal_y
  [../]

  [./penetrate9]
    type = PenetrationAux
    variable = normal_z
    boundary = 11
    paired_boundary = 12
    quantity = normal_z
  [../]

  [./penetrate10]
    type = PenetrationAux
    variable = normal_z
    boundary = 12
    paired_boundary = 11
    quantity = normal_z
  [../]

  [./penetrate11]
    type = PenetrationAux
    variable = closest_point_x
    boundary = 11
    paired_boundary = 12
    quantity = closest_point_x
  [../]

  [./penetrate12]
    type = PenetrationAux
    variable = closest_point_x
    boundary = 12
    paired_boundary = 11
    quantity = closest_point_x
  [../]

  [./penetrate13]
    type = PenetrationAux
    variable = closest_point_y
    boundary = 11
    paired_boundary = 12
    quantity = closest_point_y
  [../]

  [./penetrate14]
    type = PenetrationAux
    variable = closest_point_y
    boundary = 12
    paired_boundary = 11
    quantity = closest_point_y
  [../]

  [./penetrate15]
    type = PenetrationAux
    variable = closest_point_z
    boundary = 11
    paired_boundary = 12
    quantity = closest_point_z
  [../]

  [./penetrate16]
    type = PenetrationAux
    variable = closest_point_z
    boundary = 12
    paired_boundary = 11
    quantity = closest_point_z
  [../]

  [./penetrate17]
    type = PenetrationAux
    variable = element_id
    boundary = 11
    paired_boundary = 12
    quantity = element_id
  [../]

  [./penetrate18]
    type = PenetrationAux
    variable = element_id
    boundary = 12
    paired_boundary = 11
    quantity = element_id
  [../]

  [./penetrate19]
    type = PenetrationAux
    variable = side
    boundary = 11
    paired_boundary = 12
    quantity = side
  [../]

  [./penetrate20]
    type = PenetrationAux
    variable = side
    boundary = 12
    paired_boundary = 11
    quantity = side
  [../]
[]

[BCs]
  [./b1x]
    type = DirichletBC
    variable = disp_x
    boundary = 1
    value = 0
  [../]

  [./b1y]
    type = DirichletBC
    variable = disp_y
    boundary = 1
    value = 0
  [../]

  [./b1z]
    type = DirichletBC
    variable = disp_z
    boundary = 1
    value = 0
  [../]

  [./b2x]
    type = DirichletBC
    variable = disp_x
    boundary = 2
    value = 0
  [../]

  [./b2y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 2
    function = disp_y
  [../]

  [./b2z]
    type = DirichletBC
    variable = disp_z
    boundary = 2
    value = 0
  [../]
[]

[Functions]
  [./disp_y]
    type = PiecewiseLinear
    x = '0.0 0.25 0.75 1.0'
    y = '0.0 0.7 -0.7  0.0'
  [../]
[]

[Executioner]
  type = Transient

  solve_type = 'PJFNK'
  petsc_options = '-snes_ksp_ew'

  nl_rel_tol = 1e-9
  l_max_its = 10

  start_time = 0.0
  dt = 0.05
  end_time = 1.0
[]

[Outputs]
  file_base = pl_test2tt_out
  exodus = true
[]

(python/peacock/tests/common/transient_with_date.i)

###########################################################
# This is a simple test with a time-dependent problem
# demonstrating the use of a "Transient" Executioner.
#
# @Requirement F1.10
###########################################################


[Mesh]
  type = GeneratedMesh
  dim = 2
  xmin = -1
  xmax = 1
  ymin = -1
  ymax = 1
  nx = 10
  ny = 10
  elem_type = QUAD4
[]

[Variables]
  active = 'u'

  [./u]
    order = FIRST
    family = LAGRANGE

    [./InitialCondition]
      type = ConstantIC
      value = 0
    [../]
  [../]
[]

[Functions]
  [./forcing_fn]
    type = ParsedFunction
    # dudt = 3*t^2*(x^2 + y^2)
    expression = 3*t*t*((x*x)+(y*y))-(4*t*t*t)
  [../]

  [./exact_fn]
    type = ParsedFunction
    expression = t*t*t*((x*x)+(y*y))
  [../]
[]

[Kernels]
  active = 'diff ie ffn'

  [./ie]
    type = TimeDerivative
    variable = u
  [../]

  [./diff]
    type = Diffusion
    variable = u
  [../]

  [./ffn]
    type = BodyForce
    variable = u
    function = forcing_fn
  [../]
[]

[BCs]
  active = 'all'

  [./all]
    type = FunctionDirichletBC
    variable = u
    boundary = '0 1 2 3'
    function = exact_fn
  [../]

  [./left]
    type = DirichletBC
    variable = u
    boundary = 3
    value = 0
  [../]

  [./right]
    type = DirichletBC
    variable = u
    boundary = 1
    value = 1
  [../]
[]

[Postprocessors]
  [./l2_err]
    type = ElementL2Error
    variable = u
    function = exact_fn
  [../]

  [./dt]
    type = TimestepSize
  [../]
[]

[Executioner]
  type = Transient
  scheme = 'implicit-euler'

  # Preconditioned JFNK (default)
  solve_type = 'PJFNK'

  start_time = 0.0
  num_steps = 5
  dt = 0.1
[]

[Outputs]
  execute_on = 'timestep_end'
  file_base = with_date
  exodus = true
  [./with_date]
    type = Exodus
    file_base = with_date
    append_date = true
    append_date_format = '%Y-%m-%d'
  [../]
[]

(modules/solid_mechanics/test/tests/crystal_plasticity/user_object_based/use_substep_dt.i)

[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 4
  ny = 4
  nz = 4
  elem_type = HEX8
  displacements = 'ux uy uz'
[]

[Variables]
  [ux]
  []
  [uy]
  []
  [uz]
  []
[]

[AuxVariables]
  [stress_zz]
    order = CONSTANT
    family = MONOMIAL
  []
  [pk2]
    order = CONSTANT
    family = MONOMIAL
  []
  [fp_zz]
    order = CONSTANT
    family = MONOMIAL
  []
  [rotout]
    order = CONSTANT
    family = MONOMIAL
  []
  [e_zz]
    order = CONSTANT
    family = MONOMIAL
  []
  [gss]
    order = CONSTANT
    family = MONOMIAL
  []
  [slip_increment]
    order = CONSTANT
    family = MONOMIAL
  []
[]

[Kernels]
  [SolidMechanics]
    displacements = 'ux uy uz'
    use_displaced_mesh = true
  []
[]

[AuxKernels]
  [stress_zz]
    type = RankTwoAux
    variable = stress_zz
    rank_two_tensor = stress
    index_j = 2
    index_i = 2
    execute_on = timestep_end
  []
  [pk2]
    type = RankTwoAux
    variable = pk2
    rank_two_tensor = pk2
    index_j = 2
    index_i = 2
    execute_on = timestep_end
  []
  [fp_zz]
    type = RankTwoAux
    variable = fp_zz
    rank_two_tensor = fp
    index_j = 2
    index_i = 2
    execute_on = timestep_end
  []
  [e_zz]
    type = RankTwoAux
    variable = e_zz
    rank_two_tensor = lage
    index_j = 2
    index_i = 2
    execute_on = timestep_end
  []
  [gss]
    type = MaterialStdVectorAux
    variable = gss
    property = state_var_gss
    index = 0
    execute_on = timestep_end
  []
  [slip_inc]
    type = MaterialStdVectorAux
    variable = slip_increment
    property = slip_rate_gss
    index = 0
    execute_on = timestep_end
  []
[]

[BCs]
  [symmy]
    type = DirichletBC
    variable = uy
    boundary = bottom
    value = 0
  []
  [symmx]
    type = DirichletBC
    variable = ux
    boundary = left
    value = 0
  []
  [symmz]
    type = DirichletBC
    variable = uz
    boundary = back
    value = 0
  []
  [pushy]
    type = FunctionDirichletBC
    variable = uy
    boundary = top
    function = '-0.1*t'
  []
  [pullz]
    type = FunctionDirichletBC
    variable = uz
    boundary = front
    function = '0.1*t'
  []
[]

[UserObjects]
  [slip_rate_gss]
    type = CrystalPlasticitySlipRateGSS
    variable_size = 12
    slip_sys_file_name = input_slip_sys.txt
    num_slip_sys_flowrate_props = 2
    flowprops = '1 4 0.001 0.1 5 8 0.001 0.1 9 12 0.001 0.1'
    uo_state_var_name = state_var_gss
  []
  [slip_resistance_gss]
    type = CrystalPlasticitySlipResistanceGSS
    variable_size = 12
    uo_state_var_name = state_var_gss
  []
  [state_var_gss]
    type = CrystalPlasticityStateVariable
    variable_size = 12
    groups = '0 4 8 12'
    group_values = '60.8 60.8 60.8'
    uo_state_var_evol_rate_comp_name = state_var_evol_rate_comp_gss
    scale_factor = 1.0
  []
  [state_var_evol_rate_comp_gss]
    type = CrystalPlasticityStateVarRateComponentGSS
    variable_size = 12
    hprops = '1.0 541.5 109.8 2.5'
    uo_slip_rate_name = slip_rate_gss
    uo_state_var_name = state_var_gss
  []
[]

[Materials]
  [crysp]
    type = FiniteStrainUObasedCP
    block = 0
    stol = 1e-2
    tan_mod_type = exact
    uo_slip_rates = 'slip_rate_gss'
    uo_slip_resistances = 'slip_resistance_gss'
    uo_state_vars = 'state_var_gss'
    uo_state_var_evol_rate_comps = 'state_var_evol_rate_comp_gss'
  []
  [strain]
    type = ComputeFiniteStrain
    block = 0
    displacements = 'ux uy uz'
  []
  [elasticity_tensor]
    type = ComputeElasticityTensorCP
    block = 0
    C_ijkl = '1.684e5 1.214e5 1.214e5 1.684e5 1.214e5 1.684e5 0.754e5 0.754e5 0.754e5'
    fill_method = symmetric9
  []
[]

[Postprocessors]
  [stress_zz]
    type = ElementAverageValue
    variable = stress_zz
  []
  [pk2]
    type = ElementAverageValue
    variable = pk2
  []
  [fp_zz]
    type = ElementAverageValue
    variable = fp_zz
  []
  [e_zz]
    type = ElementAverageValue
    variable = e_zz
  []
  [gss]
    type = ElementAverageValue
    variable = gss
  []
  [slip_increment]
    type = ElementAverageValue
    variable = slip_increment
  []
  [uy_avg_top]
    type = SideAverageValue
    variable = uy
    boundary = top
  []
  [uz_avg_front]
    type = SideAverageValue
    variable = uz
    boundary = front
  []
[]

[Preconditioning]
  [smp]
    type = SMP
    full = true
  []
[]

[Executioner]
  type = Transient
  dt = 0.05
  solve_type = 'NEWTON'

  petsc_options = '-snes_ksp_ew'
  petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
  petsc_options_value = ' lu       superlu_dist'

  line_search = 'none'
  nl_abs_tol = 1e-10
  nl_rel_step_tol = 1e-10
  dtmax = 10.0
  nl_rel_tol = 1e-10
  end_time = 1.0
  num_steps = 5
  dtmin = 0.001
  nl_abs_step_tol = 1e-10
[]

[Outputs]
  csv = true
[]

(modules/navier_stokes/test/tests/finite_element/ins/RZ_cone/rz_cone_by_parts_steady_stabilized_second_order.i)

# This input file tests several different things:
# .) The axisymmetric (RZ) form of the governing equations.
# .) An open boundary.
# .) Not integrating the pressure by parts, thereby requiring a pressure pin.
# .) Natural boundary condition at the outlet.
[GlobalParams]
  integrate_p_by_parts = true
  laplace = true
  gravity = '0 0 0'
  supg = true
  pspg = true
  order = SECOND
[]

[Mesh]
  file = '2d_cone.msh'
[]

[Problem]
  coord_type = RZ
[]

[Preconditioning]
  [./SMP_PJFNK]
    type = SMP
    full = true
    solve_type = Newton
  [../]
[]

[Executioner]
  type = Steady

  petsc_options_iname = '-pc_type -sub_pc_type -sub_pc_factor_levels'
  petsc_options_value = 'bjacobi  ilu          4'

  nl_rel_tol = 1e-12
  nl_max_its = 6
[]

[Outputs]
  console = true
  [./out]
    type = Exodus
  [../]
[]

[Variables]
  [./vel_x]
    # Velocity in radial (r) direction
  [../]
  [./vel_y]
    # Velocity in axial (z) direction
  [../]
  [./p]
    order = FIRST
  [../]
[]

[BCs]
  [./u_in]
    type = DirichletBC
    boundary = bottom
    variable = vel_x
    value = 0
  [../]
  [./v_in]
    type = FunctionDirichletBC
    boundary = bottom
    variable = vel_y
    function = 'inlet_func'
  [../]
  [./u_axis_and_walls]
    type = DirichletBC
    boundary = 'left right'
    variable = vel_x
    value = 0
  [../]
  [./v_no_slip]
    type = DirichletBC
    boundary = 'right'
    variable = vel_y
    value = 0
  [../]
[]


[Kernels]
  [./mass]
    type = INSMassRZ
    variable = p
    u = vel_x
    v = vel_y
    pressure = p
  [../]
  [./x_momentum_space]
    type = INSMomentumLaplaceFormRZ
    variable = vel_x
    u = vel_x
    v = vel_y
    pressure = p
    component = 0
  [../]
  [./y_momentum_space]
    type = INSMomentumLaplaceFormRZ
    variable = vel_y
    u = vel_x
    v = vel_y
    pressure = p
    component = 1
  [../]
[]

[Materials]
  [./const]
    type = GenericConstantMaterial
    block = 'volume'
    prop_names = 'rho mu'
    prop_values = '1  1'
  [../]
[]

[Functions]
  [./inlet_func]
    type = ParsedFunction
    expression = '-4 * x^2 + 1'
  [../]
[]

[Postprocessors]
  [./flow_in]
    type = VolumetricFlowRate
    vel_x = vel_x
    vel_y = vel_y
    boundary = 'bottom'
    execute_on = 'timestep_end'
  [../]
  [./flow_out]
    type = VolumetricFlowRate
    vel_x = vel_x
    vel_y = vel_y
    boundary = 'top'
    execute_on = 'timestep_end'
  [../]
[]

(test/tests/time_steppers/timesequence_stepper/exodustimesequence.i)

[Mesh]
  type = GeneratedMesh
  dim = 2
  xmin = -1
  xmax =  1
  ymin = -1
  ymax =  1
  nx = 2
  ny = 2
  elem_type = QUAD9
[]

[Functions]
  [./exact_fn]
    type = ParsedFunction
    expression = t*t*(x*x+y*y)
  [../]

  [./forcing_fn]
    type = ParsedFunction
    expression = 2*t*(x*x+y*y)-4*t*t
  [../]
[]

[Variables]
  [./u]
    family = LAGRANGE
    order = SECOND
  [../]
[]

[ICs]
  [./u_var]
    type = FunctionIC
    variable = u
    function = exact_fn
  [../]
[]

[Kernels]
  [./td]
    type = TimeDerivative
    variable = u
  [../]

  [./diff]
    type = Diffusion
    variable = u
  [../]

  [./ffn]
    type = BodyForce
    variable = u
    function = forcing_fn
  [../]
[]

[BCs]
  [./all]
    type = FunctionDirichletBC
    variable = u
    boundary = 'left right top bottom'
    function = exact_fn
  [../]
[]

[Executioner]
  type = Transient
  end_time = 4.0
  [./TimeStepper]
    type = ExodusTimeSequenceStepper
    mesh = timesequence_no_start_time.e
  [../]
[]

[Outputs]
  exodus = true
[]

(modules/solid_mechanics/test/tests/lagrangian/cartesian/updated/action/action_L.i)

[Mesh]
  type = FileMesh
  file = 'L.exo'
[]

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]

[Physics]
  [SolidMechanics]
    [QuasiStatic]
      [all]
        strain = SMALL
        add_variables = true
        new_system = true
        formulation = UPDATED
        volumetric_locking_correction = true
        generate_output = 'cauchy_stress_xx cauchy_stress_yy cauchy_stress_zz cauchy_stress_xy '
                          'cauchy_stress_xz cauchy_stress_yz strain_xx strain_yy strain_zz strain_xy '
                          'strain_xz strain_yz'
      []
    []
  []
[]

[Functions]
  [pfn]
    type = PiecewiseLinear
    x = '0    1    2'
    y = '0.00 0.3 0.5'
  []
[]

[BCs]
  [left]
    type = DirichletBC
    preset = true
    variable = disp_x
    boundary = fix
    value = 0.0
  []

  [bottom]
    type = DirichletBC
    preset = true
    variable = disp_y
    boundary = fix
    value = 0.0
  []

  [back]
    type = DirichletBC
    preset = true
    variable = disp_z
    boundary = fix
    value = 0.0
  []

  [front]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = pull
    function = pfn
    preset = true
  []
[]

[Materials]
  [elastic_tensor]
    type = ComputeIsotropicElasticityTensor
    youngs_modulus = 100000.0
    poissons_ratio = 0.25
  []
  [compute_stress]
    type = ComputeLagrangianLinearElasticStress
  []
[]

[Preconditioning]
  [smp]
    type = SMP
    full = true
  []
[]

[Executioner]
  type = Transient

  solve_type = 'newton'

  petsc_options_iname = -pc_type
  petsc_options_value = lu

  nl_abs_tol = 1e-10
  nl_rel_tol = 1e-8

  end_time = 1.0
  dtmin = 0.5
  dt = 0.5
[]

[Outputs]
  [out]
    type = Exodus
    file_base = 'blah'
  []
[]

(modules/solid_mechanics/test/tests/capped_mohr_coulomb/small_deform21.i)

# Mohr-Coulomb only
# apply repeated stretches in x, y and z directions, so that mean_stress = 0
# This maps out the yield surface in the octahedral plane for zero mean stress

[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]


[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]

[Physics/SolidMechanics/QuasiStatic]
  [./all]
    add_variables = true
    incremental = true
    generate_output = 'max_principal_stress mid_principal_stress min_principal_stress stress_xx stress_xy stress_xz stress_yy stress_yz stress_zz'
  [../]
[]


[BCs]
  [./x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'front back'
    function = '2E-6*x*sin(t)'
  [../]
  [./y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'front back'
    function = '2E-6*y*sin(2*t)'
  [../]
  [./z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'front back'
    function = '-2E-6*z*(sin(t)+sin(2*t))'
  [../]
[]

[AuxVariables]
  [./yield_fcn]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]

[AuxKernels]
  [./yield_fcn_auxk]
    type = MaterialStdVectorAux
    index = 6
    property = plastic_yield_function
    variable = yield_fcn
  [../]
[]

[Postprocessors]
  [./s_xx]
    type = PointValue
    point = '0 0 0'
    variable = stress_xx
  [../]
  [./s_xy]
    type = PointValue
    point = '0 0 0'
    variable = stress_xy
  [../]
  [./s_xz]
    type = PointValue
    point = '0 0 0'
    variable = stress_xz
  [../]
  [./s_yy]
    type = PointValue
    point = '0 0 0'
    variable = stress_yy
  [../]
  [./s_yz]
    type = PointValue
    point = '0 0 0'
    variable = stress_yz
  [../]
  [./s_zz]
    type = PointValue
    point = '0 0 0'
    variable = stress_zz
  [../]
  [./f]
    type = PointValue
    point = '0 0 0'
    variable = yield_fcn
  [../]
  [./f0]
    type = PointValue
    point = '0 0 0'
    variable = yield_fcn
  [../]
  [./f1]
    type = PointValue
    point = '0 0 0'
    variable = yield_fcn
  [../]
[]

[UserObjects]
  [./ts]
    type = SolidMechanicsHardeningConstant
    value = 1E6
  [../]
  [./mc_coh]
    type = SolidMechanicsHardeningConstant
    value = 10
  [../]
  [./mc_phi]
    type = SolidMechanicsHardeningConstant
    value = 20
    convert_to_radians = true
  [../]
  [./mc_psi]
    type = SolidMechanicsHardeningConstant
    value = 1E-12
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    fill_method = symmetric_isotropic
    C_ijkl = '0 1E7'
  [../]
  [./mc]
    type = CappedMohrCoulombStressUpdate
    tensile_strength = ts
    compressive_strength = ts
    cohesion = mc_coh
    friction_angle = mc_phi
    dilation_angle = mc_psi
    smoothing_tol = 1
    yield_function_tol = 1.0E-9
  [../]
  [./stress]
    type = ComputeMultipleInelasticStress
    inelastic_models = mc
    perform_finite_strain_rotations = false
  [../]
[]


[Executioner]
  end_time = 100
  dt = 1
  type = Transient
[]


[Outputs]
  file_base = small_deform21
  csv = true
[]

(modules/porous_flow/test/tests/energy_conservation/heat03.i)

# The sample is a single unit element, with roller BCs on the sides
# and bottom.  A constant displacement is applied to the top: disp_z = -0.01*t.
# There is no fluid flow or heat flow.
# Heat energy conservation is checked.
#
# Under these conditions (here L is the height of the sample: L=1 in this case):
# porepressure = porepressure(t=0) - (Fluid bulk modulus)*log(1 - 0.01*t)
# stress_xx = (bulk - 2*shear/3)*disp_z/L (remember this is effective stress)
# stress_zz = (bulk + 4*shear/3)*disp_z/L (remember this is effective stress)
# Also, the total heat energy must be conserved: this is
# fluid_mass * fluid_heat_cap * temperature + (1 - porosity) * rock_density * rock_heat_cap * temperature * volume
# Since fluid_mass is conserved, and volume = (1 - 0.01*t), this can be solved for temperature:
# temperature = initial_heat_energy / (fluid_mass * fluid_heat_cap + (1 - porosity) * rock_density * rock_heat_cap * (1 - 0.01*t))
#
# Parameters:
# Bulk modulus = 2
# Shear modulus = 1.5
# fluid bulk modulus = 0.5
# initial porepressure = 0.1
# initial temperature = 10
#
# Desired output:
# zdisp = -0.01*t
# p0 = 0.1 - 0.5*log(1-0.01*t)
# stress_xx = stress_yy = -0.01*t
# stress_zz = -0.04*t
# t0 =  11.5 / (0.159 + 0.99 * (1 - 0.01*t))
#
# Regarding the "log" - it comes from preserving fluid mass
#
# Note that the PorousFlowMassVolumetricExpansion and PorousFlowHeatVolumetricExpansion Kernels are used
[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
  PorousFlowDictator = dictator
  block = 0
[]

[Variables]
  [disp_x]
  []
  [disp_y]
  []
  [disp_z]
  []
  [pp]
    initial_condition = 0.1
  []
  [temp]
    initial_condition = 10
  []
[]

[BCs]
  [confinex]
    type = DirichletBC
    variable = disp_x
    value = 0
    boundary = 'left right'
  []
  [confiney]
    type = DirichletBC
    variable = disp_y
    value = 0
    boundary = 'bottom top'
  []
  [basefixed]
    type = DirichletBC
    variable = disp_z
    value = 0
    boundary = back
  []
  [top_velocity]
    type = FunctionDirichletBC
    variable = disp_z
    function = -0.01*t
    boundary = front
  []
[]

[Kernels]
  [grad_stress_x]
    type = StressDivergenceTensors
    variable = disp_x
    component = 0
  []
  [grad_stress_y]
    type = StressDivergenceTensors
    variable = disp_y
    component = 1
  []
  [grad_stress_z]
    type = StressDivergenceTensors
    variable = disp_z
    component = 2
  []
  [poro_x]
    type = PorousFlowEffectiveStressCoupling
    biot_coefficient = 0.3
    variable = disp_x
    component = 0
  []
  [poro_y]
    type = PorousFlowEffectiveStressCoupling
    biot_coefficient = 0.3
    variable = disp_y
    component = 1
  []
  [poro_z]
    type = PorousFlowEffectiveStressCoupling
    biot_coefficient = 0.3
    component = 2
    variable = disp_z
  []
  [poro_vol_exp]
    type = PorousFlowMassVolumetricExpansion
    variable = pp
    fluid_component = 0
  []
  [mass0]
    type = PorousFlowMassTimeDerivative
    fluid_component = 0
    variable = pp
  []
  [temp]
    type = PorousFlowEnergyTimeDerivative
    variable = temp
  []
  [poro_vol_exp_temp]
    type = PorousFlowHeatVolumetricExpansion
    variable = temp
  []
[]

[AuxVariables]
  [stress_xx]
    order = CONSTANT
    family = MONOMIAL
  []
  [stress_xy]
    order = CONSTANT
    family = MONOMIAL
  []
  [stress_xz]
    order = CONSTANT
    family = MONOMIAL
  []
  [stress_yy]
    order = CONSTANT
    family = MONOMIAL
  []
  [stress_yz]
    order = CONSTANT
    family = MONOMIAL
  []
  [stress_zz]
    order = CONSTANT
    family = MONOMIAL
  []
[]

[AuxKernels]
  [stress_xx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xx
    index_i = 0
    index_j = 0
  []
  [stress_xy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xy
    index_i = 0
    index_j = 1
  []
  [stress_xz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xz
    index_i = 0
    index_j = 2
  []
  [stress_yy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yy
    index_i = 1
    index_j = 1
  []
  [stress_yz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yz
    index_i = 1
    index_j = 2
  []
  [stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zz
    index_i = 2
    index_j = 2
  []
[]

[UserObjects]
  [dictator]
    type = PorousFlowDictator
    porous_flow_vars = 'temp pp disp_x disp_y disp_z'
    number_fluid_phases = 1
    number_fluid_components = 1
  []
  [pc]
    type = PorousFlowCapillaryPressureVG
    m = 0.5
    alpha = 1
  []
[]

[FluidProperties]
  [simple_fluid]
    type = SimpleFluidProperties
    bulk_modulus = 0.5
    density0 = 1
    viscosity = 1
    thermal_expansion = 0
    cv = 1.3
  []
[]

[Materials]
  [temperature]
    type = PorousFlowTemperature
    temperature = temp
  []
  [elasticity_tensor]
    type = ComputeElasticityTensor
    C_ijkl = '1 1.5'
    # bulk modulus is lambda + 2*mu/3 = 1 + 2*1.5/3 = 2
    fill_method = symmetric_isotropic
  []
  [strain]
    type = ComputeSmallStrain
  []
  [stress]
    type = ComputeLinearElasticStress
  []
  [vol_strain]
    type = PorousFlowVolumetricStrain
  []
  [eff_fluid_pressure]
    type = PorousFlowEffectiveFluidPressure
  []
  [porosity]
    type = PorousFlowPorosity
    porosity_zero = 0.1
  []
  [rock_heat]
    type = PorousFlowMatrixInternalEnergy
    specific_heat_capacity = 2.2
    density = 0.5
  []
  [ppss]
    type = PorousFlow1PhaseP
    porepressure = pp
    capillary_pressure = pc
  []
  [massfrac]
    type = PorousFlowMassFraction
  []
  [simple_fluid]
    type = PorousFlowSingleComponentFluid
    fp = simple_fluid
    phase = 0
  []
  [permeability]
    type = PorousFlowPermeabilityConst
    permeability = '0.5 0 0   0 0.5 0   0 0 0.5'
  []
[]

[Postprocessors]
  [p0]
    type = PointValue
    outputs = 'console csv'
    execute_on = 'initial timestep_end'
    point = '0 0 0'
    variable = pp
  []
  [t0]
    type = PointValue
    outputs = 'console csv'
    execute_on = 'initial timestep_end'
    point = '0 0 0'
    variable = temp
  []
  [zdisp]
    type = PointValue
    outputs = csv
    point = '0 0 0.5'
    use_displaced_mesh = false
    variable = disp_z
  []
  [stress_xx]
    type = PointValue
    outputs = csv
    point = '0 0 0'
    variable = stress_xx
  []
  [stress_yy]
    type = PointValue
    outputs = csv
    point = '0 0 0'
    variable = stress_yy
  []
  [stress_zz]
    type = PointValue
    outputs = csv
    point = '0 0 0'
    variable = stress_zz
  []
  [fluid_mass]
    type = PorousFlowFluidMass
    fluid_component = 0
    execute_on = 'initial timestep_end'
    outputs = 'console csv'
  []
  [total_heat]
    type = PorousFlowHeatEnergy
    phase = 0
    execute_on = 'initial timestep_end'
    outputs = 'console csv'
  []
  [rock_heat]
    type = PorousFlowHeatEnergy
    execute_on = 'initial timestep_end'
    outputs = 'console csv'
  []
  [fluid_heat]
    type = PorousFlowHeatEnergy
    include_porous_skeleton = false
    phase = 0
    execute_on = 'initial timestep_end'
    outputs = 'console csv'
  []
[]

[Preconditioning]
  [andy]
    type = SMP
    full = true
    petsc_options_iname = '-ksp_type -pc_type -snes_atol -snes_rtol -snes_max_it'
    petsc_options_value = 'bcgs bjacobi 1E-14 1E-8 10000'
  []
[]

[Executioner]
  type = Transient
  solve_type = Newton
  dt = 2
  end_time = 10
[]

[Outputs]
  execute_on = 'initial timestep_end'
  file_base = heat03
  [csv]
    type = CSV
  []
[]

(modules/heat_transfer/test/tests/gap_heat_transfer_htonly/gap_heat_transfer_htonly_rz_test.i)

#
# 2-D RZ Gap Heat Transfer Test without mechanics
#
# This test exercises 1-D gap heat transfer for a constant conductivity gap.
#
# The mesh consists of two element blocks containing one element each.  Each
#   element is a unit cube.  They sit next to one another with a unit between them.
#
# The conductivity of both blocks is set very large to achieve a uniform temperature
#  across each block. The temperature of the far left boundary
#  is ramped from 100 to 200 over one time unit, and then held fixed for an additional
#  time unit.  The temperature of the far right boundary is held fixed at 100.
#
# A simple analytical solution is possible for the heat flux between the blocks, or cylinders in the case of RZ.:
#
#  Flux = (T_left - T_right) * (gapK/(r*ln(r2/r1)))
#
# For gapK = 1 (default value)
#
# The integrated heat flux across the gap at time 2 is then:
#
# 2*pi*h*k*delta_T/(ln(r2/r1))
# 2*pi*1*1*100/(ln(2/1)) = 906.5 watts
#
# For comparison, see results from the flux post processors.
#
# As a second test, use the rectilinear (parallel plate) form of the gap heat transfer.
#
#  Flux = (T_left - T_right) * (gapK/gapL)
#
# For gapK = 1 (default value)
#
# The integrated heat flux across the gap at time 2 is then:
#
# 2*pi*h*k*delta_T/(1)
# 2*pi*1*1*100/(1) = 628.3 watts
#
# For comparison, see results from the flux post processors.
#

[Problem]
  coord_type = RZ
  rz_coord_axis = Y # this is modified through CLI args to test Z-R as opposed to R-Z
[]

[Mesh]
  active = 'file'
  [file]
    type = FileMeshGenerator
    file = gap_heat_transfer_htonly_rz_test.e
  []
  [rotate]
    type = TransformGenerator
    transform = ROTATE
    vector_value = '90 0 0'
    input = file
  []
[]
[Functions]

  [./ramp]
    type = PiecewiseLinear
    x = '0   1   2'
    y = '100 200 200'
  [../]
[]

[ThermalContact]
  [./thermal_contact]
    type = GapHeatTransfer
    variable = temp
    primary = 3
    secondary = 2
    emissivity_primary = 0
    emissivity_secondary = 0
  [../]
  [./thermal_contact2]
    type = GapHeatTransfer
    variable = temp2
    primary = 3
    secondary = 2
    emissivity_primary = 0
    emissivity_secondary = 0
    gap_geometry_type = PLATE
    appended_property_name = 2
  [../]
[]

[Variables]
  [./temp]
    order = FIRST
    family = LAGRANGE
    initial_condition = 100
  [../]
  [./temp2]
    order = FIRST
    family = LAGRANGE
    initial_condition = 100
  [../]
[]

[AuxVariables]
  [./gap_cond]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./gap_cond2]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]

[Kernels]
  [./heat]
    type = HeatConduction
    variable = temp
  [../]
  [./heat2]
    type = HeatConduction
    variable = temp2
  [../]
[]


[BCs]
  [./temp_far_left]
    type = FunctionDirichletBC
    boundary = 1
    variable = temp
    function = ramp
  [../]

  [./temp_far_right]
    type = DirichletBC
    boundary = 4
    variable = temp
    value = 100
  [../]

  [./temp_far_left2]
    type = FunctionDirichletBC
    boundary = 1
    variable = temp2
    function = ramp
  [../]

  [./temp_far_right2]
    type = DirichletBC
    boundary = 4
    variable = temp2
    value = 100
  [../]
[]

[AuxKernels]
  [./conductance]
    type = MaterialRealAux
    property = gap_conductance
    variable = gap_cond
    boundary = 2
  [../]
  [./conductance2]
    type = MaterialRealAux
    property = gap_conductance
    variable = gap_cond2
    boundary = 2
  [../]
[]

[Materials]

  [./heat1]
    type = HeatConductionMaterial
    block = '1 2'
    specific_heat = 1.0
    thermal_conductivity = 1e6
  [../]
  [./density]
    type = GenericConstantMaterial
    block = '1 2'
    prop_names = 'density'
    prop_values = '1.0'
  [../]
[]

[Executioner]
  type = Transient
#  petsc_options = '-snes_mf_operator -ksp_monitor -snes_ksp_ew'

  #Preconditioned JFNK (default)
  solve_type = 'PJFNK'




#  petsc_options_iname = '-snes_type -snes_ls -snes_linesearch_type -ksp_gmres_restart -pc_type -pc_hypre_type -pc_hypre_boomeramg_max_iter'
#  petsc_options_value = 'ls         basic    basic                    201                hypre    boomeramg      4'
#  petsc_options_iname = '-ksp_gmres_restart -pc_type -pc_hypre_type -pc_hypre_boomeramg_max_iter'
#  petsc_options_value = '201                hypre    boomeramg      4'

  nl_abs_tol = 1e-3
  nl_rel_tol = 1e-8

  l_tol = 1e-6
  l_max_its = 100

  start_time = 0.0
  dt = 1e-1
  dtmin = 1e-1
  end_time = 2.0
[]

[Postprocessors]

  [./temp_left]
    type = SideAverageValue
    boundary = 2
    variable = temp
    execute_on = 'initial timestep_end'
  [../]

  [./temp_right]
    type = SideAverageValue
    boundary = 3
    variable = temp
    execute_on = 'initial timestep_end'
  [../]

  [./flux_left]
    type = SideDiffusiveFluxIntegral
    variable = temp
    boundary = 2
    diffusivity = thermal_conductivity
  [../]

  [./flux_right]
    type = SideDiffusiveFluxIntegral
    variable = temp
    boundary = 3
    diffusivity = thermal_conductivity
  [../]

  [./temp_left2]
    type = SideAverageValue
    boundary = 2
    variable = temp2
    execute_on = 'initial timestep_end'
  [../]

  [./temp_right2]
    type = SideAverageValue
    boundary = 3
    variable = temp2
    execute_on = 'initial timestep_end'
  [../]

  [./flux_left2]
    type = SideDiffusiveFluxIntegral
    variable = temp2
    boundary = 2
    diffusivity = thermal_conductivity
  [../]

  [./flux_right2]
    type = SideDiffusiveFluxIntegral
    variable = temp2
    boundary = 3
    diffusivity = thermal_conductivity
  [../]

[]

[Outputs]
  exodus = true
[]

(modules/solid_mechanics/test/tests/action/custom_output.i)

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]

[Mesh]
  [ring]
    type = GeneratedMeshGenerator
    dim = 3
  []
[]

[BCs]
  [fix_x1]
    type = DirichletBC
    boundary = left
    variable = disp_x
    value = 0
  []
  [fix_x2]
    type = FunctionDirichletBC
    boundary = right
    variable = disp_x
    function = 0.1*sin(t)
  []
  [fix_y]
    type = DirichletBC
    boundary = 'left right'
    variable = disp_y
    value = 0
  []
  [fix_z]
    type = DirichletBC
    boundary = 'left right'
    variable = disp_z
    value = 0
  []
[]

[Physics/SolidMechanics/QuasiStatic]
  [all]
    add_variables = true
    strain = FINITE
    generate_output = 'vonmises_stress effective_alt_total_strain'
  []
[]

[Materials]
  [stress]
    type = ComputeFiniteStrainElasticStress
  []
  [elastic]
    type = ComputeIsotropicElasticityTensor
    youngs_modulus = 0.3
    shear_modulus = 100
  []
  [alt_strain]
    type = ComputeFiniteStrain
    base_name = alt
  []
[]

[Executioner]
  type = Transient
  num_steps = 12
  solve_type = PJFNK
[]

[Outputs]
  exodus = true
  print_linear_residuals = false
  perf_graph = true
[]

(modules/solid_mechanics/test/tests/capped_weak_plane/small_deform2.i)

# Plastic deformation, tensile failure
# With Lame lambda=0 and Lame mu=1, applying the following
# deformation to the zmax surface of a unit cube:
# disp_z = t
# should yield trial stress:
# stress_zz = 2*t
# Use tensile strength = 1, we should return to stress_zz = 1
[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]

[Physics/SolidMechanics/QuasiStatic]
  [./all]
    add_variables = true
    incremental = true
    generate_output = 'stress_xx stress_xy stress_xz stress_yy stress_yz stress_zz plastic_strain_xx plastic_strain_xy plastic_strain_xz plastic_strain_yy plastic_strain_yz plastic_strain_zz strain_xx strain_xy strain_xz strain_yy strain_yz strain_zz'
  [../]
[]

[BCs]
  [./bottomx]
    type = DirichletBC
    variable = disp_x
    boundary = back
    value = 0.0
  [../]
  [./bottomy]
    type = DirichletBC
    variable = disp_y
    boundary = back
    value = 0.0
  [../]
  [./bottomz]
    type = DirichletBC
    variable = disp_z
    boundary = back
    value = 0.0
  [../]

  [./topx]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = front
    function = 0
  [../]
  [./topy]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = front
    function = 0
  [../]
  [./topz]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = front
    function = t
  [../]
[]

[AuxVariables]
  [./f_shear]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f_tensile]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f_compressive]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./intnl_shear]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./intnl_tensile]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./iter]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./ls]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]

[AuxKernels]
  [./f_shear]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 0
    variable = f_shear
  [../]
  [./f_tensile]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 1
    variable = f_tensile
  [../]
  [./f_compressive]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 2
    variable = f_compressive
  [../]
  [./intnl_shear]
    type = MaterialStdVectorAux
    property = plastic_internal_parameter
    index = 0
    variable = intnl_shear
  [../]
  [./intnl_tensile]
    type = MaterialStdVectorAux
    property = plastic_internal_parameter
    index = 1
    variable = intnl_tensile
  [../]
  [./iter]
    type = MaterialRealAux
    property = plastic_NR_iterations
    variable = iter
  [../]
  [./ls]
    type = MaterialRealAux
    property = plastic_linesearch_needed
    variable = ls
  [../]
[]

[Postprocessors]
  [./stress_xx]
    type = PointValue
    point = '0 0 0'
    variable = stress_xx
  [../]
  [./stress_xy]
    type = PointValue
    point = '0 0 0'
    variable = stress_xy
  [../]
  [./stress_xz]
    type = PointValue
    point = '0 0 0'
    variable = stress_xz
  [../]
  [./stress_yy]
    type = PointValue
    point = '0 0 0'
    variable = stress_yy
  [../]
  [./stress_yz]
    type = PointValue
    point = '0 0 0'
    variable = stress_yz
  [../]
  [./stress_zz]
    type = PointValue
    point = '0 0 0'
    variable = stress_zz
  [../]
  [./strainp_xx]
    type = PointValue
    point = '0 0 0'
    variable = plastic_strain_xx
  [../]
  [./strainp_xy]
    type = PointValue
    point = '0 0 0'
    variable = plastic_strain_xy
  [../]
  [./strainp_xz]
    type = PointValue
    point = '0 0 0'
    variable = plastic_strain_xz
  [../]
  [./strainp_yy]
    type = PointValue
    point = '0 0 0'
    variable = plastic_strain_yy
  [../]
  [./strainp_yz]
    type = PointValue
    point = '0 0 0'
    variable = plastic_strain_yz
  [../]
  [./strainp_zz]
    type = PointValue
    point = '0 0 0'
    variable = plastic_strain_zz
  [../]
  [./straint_xx]
    type = PointValue
    point = '0 0 0'
    variable = strain_xx
  [../]
  [./straint_xy]
    type = PointValue
    point = '0 0 0'
    variable = strain_xy
  [../]
  [./straint_xz]
    type = PointValue
    point = '0 0 0'
    variable = strain_xz
  [../]
  [./straint_yy]
    type = PointValue
    point = '0 0 0'
    variable = strain_yy
  [../]
  [./straint_yz]
    type = PointValue
    point = '0 0 0'
    variable = strain_yz
  [../]
  [./straint_zz]
    type = PointValue
    point = '0 0 0'
    variable = strain_zz
  [../]
  [./f_shear]
    type = PointValue
    point = '0 0 0'
    variable = f_shear
  [../]
  [./f_tensile]
    type = PointValue
    point = '0 0 0'
    variable = f_tensile
  [../]
  [./f_compressive]
    type = PointValue
    point = '0 0 0'
    variable = f_compressive
  [../]
  [./intnl_shear]
    type = PointValue
    point = '0 0 0'
    variable = intnl_shear
  [../]
  [./intnl_tensile]
    type = PointValue
    point = '0 0 0'
    variable = intnl_tensile
  [../]
  [./iter]
    type = PointValue
    point = '0 0 0'
    variable = iter
  [../]
  [./ls]
    type = PointValue
    point = '0 0 0'
    variable = ls
  [../]
[]


[UserObjects]
  [./coh]
    type = SolidMechanicsHardeningConstant
    value = 30
  [../]
  [./tanphi]
    type = SolidMechanicsHardeningConstant
    value = 0.5
  [../]
  [./tanpsi]
    type = SolidMechanicsHardeningConstant
    value = 0.1111077
  [../]
  [./t_strength]
    type = SolidMechanicsHardeningConstant
    value = 1
  [../]
  [./c_strength]
    type = SolidMechanicsHardeningConstant
    value = 40
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    fill_method = symmetric_isotropic
    C_ijkl = '0 1'
  [../]
  [./admissible]
    type = ComputeMultipleInelasticStress
    inelastic_models = stress
    perform_finite_strain_rotations = false
  [../]
  [./stress]
    type = CappedWeakPlaneStressUpdate
    cohesion = coh
    tan_friction_angle = tanphi
    tan_dilation_angle = tanpsi
    tensile_strength = t_strength
    compressive_strength = c_strength
    tip_smoother = 0
    smoothing_tol = 0
    yield_function_tol = 1E-5
  [../]
[]

[Executioner]
  end_time = 2
  dt = 1
  type = Transient
[]

[Outputs]
  file_base = small_deform2
  csv = true
[]

(modules/combined/test/tests/phase_field_fracture/crack2d_computeCrackedStress_finitestrain_plastic.i)

#This input uses PhaseField-Nonconserved Action to add phase field fracture bulk rate kernels
[Mesh]
  [gen]
    type = GeneratedMeshGenerator
    dim = 2
    nx = 40
    ny = 20
    ymax = 0.5
  []
  [./noncrack]
    type = BoundingBoxNodeSetGenerator
    new_boundary = noncrack
    bottom_left = '0.5 0 0'
    top_right = '1 0 0'
    input = gen
  [../]
[]

[GlobalParams]
  displacements = 'disp_x disp_y'
[]

[AuxVariables]
  [./strain_yy]
    family = MONOMIAL
    order = CONSTANT
  [../]
  [./elastic_strain_yy]
    family = MONOMIAL
    order = CONSTANT
  [../]
  [./plastic_strain_yy]
    family = MONOMIAL
    order = CONSTANT
  [../]
  [./uncracked_stress_yy]
    family = MONOMIAL
    order = CONSTANT
  [../]
[]

[Physics]
  [./SolidMechanics]
    [./QuasiStatic]
      [./All]
        add_variables = true
        strain = FINITE
        planar_formulation = PLANE_STRAIN
        additional_generate_output = 'stress_yy vonmises_stress'
        strain_base_name = uncracked
      [../]
    [../]
  [../]
[]
[Modules]
  [./PhaseField]
    [./Nonconserved]
      [./c]
        free_energy = E_el
        kappa = kappa_op
        mobility = L
      [../]
    [../]
  [../]
[]

[Kernels]
  [./solid_x]
    type = PhaseFieldFractureMechanicsOffDiag
    variable = disp_x
    component = 0
    c = c
  [../]
  [./solid_y]
    type = PhaseFieldFractureMechanicsOffDiag
    variable = disp_y
    component = 1
    c = c
  [../]
  [./off_disp]
    type = AllenCahnElasticEnergyOffDiag
    variable = c
    displacements = 'disp_x disp_y'
    mob_name = L
  [../]
[]

[AuxKernels]
  [./strain_yy]
    type = RankTwoAux
    variable = strain_yy
    rank_two_tensor = uncracked_mechanical_strain
    index_i = 1
    index_j = 1
    execute_on = TIMESTEP_END
  [../]
  [./elastic_strain_yy]
    type = RankTwoAux
    variable = elastic_strain_yy
    rank_two_tensor = uncracked_elastic_strain
    index_i = 1
    index_j = 1
    execute_on = TIMESTEP_END
  [../]
  [./plastic_strain_yy]
    type = RankTwoAux
    variable = plastic_strain_yy
    rank_two_tensor = uncracked_plastic_strain
    index_i = 1
    index_j = 1
    execute_on = TIMESTEP_END
  [../]
  [./uncracked_stress_yy]
    type = RankTwoAux
    variable = uncracked_stress_yy
    rank_two_tensor = uncracked_stress
    index_i = 1
    index_j = 1
    execute_on = TIMESTEP_END
  [../]
[]

[BCs]
  [./ydisp]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = top
    function = 't'
  [../]
  [./yfix]
    type = DirichletBC
    variable = disp_y
    boundary = noncrack
    value = 0
  [../]
  [./xfix]
    type = DirichletBC
    variable = disp_x
    boundary = right
    value = 0
  [../]
[]

[Functions]
  [./hf]
    type = PiecewiseLinear
    x = '0    0.001 0.003 0.023'
    y = '0.85 1.0   1.25  1.5'
  [../]
[]

[Materials]
  [./pfbulkmat]
    type = GenericConstantMaterial
    prop_names = 'gc_prop l visco'
    prop_values = '1e-3 0.05 5e-3'
  [../]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    C_ijkl = '120.0 80.0'
    fill_method = symmetric_isotropic
    base_name = uncracked
  [../]
  [./isotropic_plasticity]
    type = IsotropicPlasticityStressUpdate
    yield_stress = 0.85
    hardening_function = hf
    base_name = uncracked
  [../]
  [./radial_return_stress]
    type = ComputeMultipleInelasticStress
    tangent_operator = elastic
    inelastic_models = 'isotropic_plasticity'
    base_name = uncracked
  [../]
  [./cracked_stress]
    type = ComputeCrackedStress
    c = c
    F_name = E_el
    use_current_history_variable = true
    uncracked_base_name = uncracked
    finite_strain_model = true
  [../]
[]

[Postprocessors]
  [./av_stress_yy]
    type = ElementAverageValue
    variable = stress_yy
  [../]
  [./av_strain_yy]
    type = SideAverageValue
    variable = disp_y
    boundary = top
  [../]
  [./av_uncracked_stress_yy]
    type = ElementAverageValue
    variable = uncracked_stress_yy
  [../]
  [./max_c]
    type = ElementExtremeValue
    variable = c
  [../]
[]

[Preconditioning]
  [./smp]
    type = SMP
    full = true
  [../]
[]

[Executioner]
  type = Transient

  solve_type = PJFNK
  petsc_options_iname = '-pc_type -pc_factor_mat_solving_package'
  petsc_options_value = 'lu superlu_dist'

  nl_rel_tol = 1e-8
  l_tol = 1e-4
  l_max_its = 100
  nl_max_its = 10

  dt = 2.0e-5
  num_steps = 2
[]

[Outputs]
  exodus = true
[]

(modules/solid_mechanics/test/tests/neml2/viscoplasticity/radial_return.i)

N = 2

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]

[Mesh]
  [gmg]
    type = GeneratedMeshGenerator
    dim = 3
    nx = ${N}
    ny = ${N}
    nz = ${N}
  []
[]

[Physics]
  [SolidMechanics]
    [QuasiStatic]
      [all]
        strain = SMALL
        new_system = true
        add_variables = true
        formulation = TOTAL
        volumetric_locking_correction = true
      []
    []
  []
[]

[NEML2]
  input = 'radial_return_neml2.i'
  [all]
    model = 'model'
    verbose = true
    device = 'cpu'

    moose_input_types = 'MATERIAL     POSTPROCESSOR POSTPROCESSOR MATERIAL              MATERIAL'
    moose_inputs = '     neml2_strain time          time          plastic_strain        consistency'
    neml2_inputs = '     forces/E     forces/t      old_forces/t  old_state/internal/Ep old_state/internal/gamma'

    moose_output_types = 'MATERIAL     MATERIAL          MATERIAL'
    moose_outputs = '     neml2_stress plastic_strain    consistency'
    neml2_outputs = '     state/S      state/internal/Ep state/internal/gamma'

    moose_derivative_types = 'MATERIAL'
    moose_derivatives = 'neml2_jacobian'
    neml2_derivatives = 'state/S forces/E'
  []
[]

[Postprocessors]
  [time]
    type = TimePostprocessor
    execute_on = 'INITIAL TIMESTEP_BEGIN'
  []
[]

[Materials]
  [convert_strain]
    type = RankTwoTensorToSymmetricRankTwoTensor
    from = 'mechanical_strain'
    to = 'neml2_strain'
  []
  [stress]
    type = ComputeLagrangianObjectiveCustomSymmetricStress
    custom_small_stress = 'neml2_stress'
    custom_small_jacobian = 'neml2_jacobian'
  []
[]

[BCs]
  [xfix]
    type = DirichletBC
    variable = disp_x
    boundary = left
    value = 0
  []
  [yfix]
    type = DirichletBC
    variable = disp_y
    boundary = bottom
    value = 0
  []
  [zfix]
    type = DirichletBC
    variable = disp_z
    boundary = back
    value = 0
  []
  [xdisp]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = right
    function = t
    preset = false
  []
[]

[Executioner]
  type = Transient
  solve_type = NEWTON
  petsc_options_iname = '-pc_type'
  petsc_options_value = 'lu'
  automatic_scaling = true
  dt = 1e-3
  dtmin = 1e-3
  num_steps = 5
  residual_and_jacobian_together = true
[]

[Outputs]
  exodus = true
[]

(modules/solid_mechanics/test/tests/shell/static/inclined_straintest_local_stress.i)

# Static test for the inclined shell element.
# A single shell element is oriented at a 45 deg. angle with respect to the Y axis.
# One end of the shell is fixed and an axial deformation to the shell element is
# applied at the other end by resolving the deformation into Y and Z direction.
# The local stresses are computed and stored in aux variables.
# The local stress_22 should be zero (because of plane stress condition).

[Mesh]
  type = FileMesh
  file = shell_inclined.e
  displacements = 'disp_x disp_y disp_z'
[]

[Variables]
  [disp_x]
  []
  [disp_y]
  []
  [disp_z]
  []
  [rot_x]
  []
  [rot_y]
  []
[]

[AuxVariables]
  [stress_00]
    order = CONSTANT
    family = MONOMIAL
  []
  [stress_11]
    order = CONSTANT
    family = MONOMIAL
  []
  [stress_22]
    order = CONSTANT
    family = MONOMIAL
  []
  [stress_01]
    order = CONSTANT
    family = MONOMIAL
  []
  [stress_02]
    order = CONSTANT
    family = MONOMIAL
  []
  [stress_12]
    order = CONSTANT
    family = MONOMIAL
  []
[]

[AuxKernels]
  [stress_00]
    type = RankTwoAux
    variable = stress_00
    rank_two_tensor = local_stress_t_points_0
    index_i = 0
    index_j = 0
    execute_on = TIMESTEP_END
  []
  [stress_11]
    type = RankTwoAux
    variable = stress_11
    rank_two_tensor = local_stress_t_points_0
    index_i = 1
    index_j = 1
    execute_on = TIMESTEP_END
  []
  [stress_22]
    type = RankTwoAux
    variable = stress_22
    rank_two_tensor = local_stress_t_points_0
    index_i = 2
    index_j = 2
    execute_on = TIMESTEP_END
  []
  [stress_01]
    type = RankTwoAux
    variable = stress_01
    rank_two_tensor = local_stress_t_points_0
    index_i = 0
    index_j = 1
    execute_on = TIMESTEP_END
  []
  [stress_02]
    type = RankTwoAux
    variable = stress_02
    rank_two_tensor = local_stress_t_points_0
    index_i = 0
    index_j = 2
    execute_on = TIMESTEP_END
  []
  [stress_12]
    type = RankTwoAux
    variable = stress_12
    rank_two_tensor = local_stress_t_points_0
    index_i = 1
    index_j = 2
    execute_on = TIMESTEP_END
  []
[]

[BCs]
  [fixy1]
    type = DirichletBC
    variable = disp_y
    boundary = '0'
    value = 0.0
  []
  [fixz1]
    type = DirichletBC
    variable = disp_z
    boundary = '0'
    value = 0.0
  []
  [fixr1]
    type = DirichletBC
    variable = rot_x
    boundary = '0'
    value = 0.0
  []
  [fixr2]
    type = DirichletBC
    variable = rot_y
    boundary = '0'
    value = 0.0
  []
  [fixx1]
    type = DirichletBC
    variable = disp_x
    boundary = '0'
    value = 0.0
  []
  [dispz]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = '2'
    function = force_function
  []
  [dispy]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = '2'
    function = force_function
  []
[]

[Functions]
  [force_function]
    type = PiecewiseLinear
    x = '0.0 1'
    y = '0.0 0.33535534'
  []
[]

[Kernels]
  [solid_disp_x]
    type = ADStressDivergenceShell
    block = '0'
    component = 0
    variable = disp_x
    through_thickness_order = SECOND
  []
  [solid_disp_y]
    type = ADStressDivergenceShell
    block = '0'
    component = 1
    variable = disp_y
    through_thickness_order = SECOND
  []
  [solid_disp_z]
    type = ADStressDivergenceShell
    block = '0'
    component = 2
    variable = disp_z
    through_thickness_order = SECOND
  []
  [solid_rot_x]
    type = ADStressDivergenceShell
    block = '0'
    component = 3
    variable = rot_x
    through_thickness_order = SECOND
  []
  [solid_rot_y]
    type = ADStressDivergenceShell
    block = '0'
    component = 4
    variable = rot_y
    through_thickness_order = SECOND
  []
[]

[Materials]
  [elasticity]
    type = ADComputeIsotropicElasticityTensorShell
    youngs_modulus = 5
    poissons_ratio = 0.0
    block = 0
    through_thickness_order = SECOND
  []
  [strain]
    type = ADComputeIncrementalShellStrain
    block = '0'
    displacements = 'disp_x disp_y disp_z'
    rotations = 'rot_x rot_y'
    thickness = 0.1
    through_thickness_order = SECOND
  []
  [stress]
    type = ADComputeShellStress
    block = 0
    through_thickness_order = SECOND
  []
[]

[Postprocessors]
  [stress_11_el_0]
    type = ElementalVariableValue
    elementid = 0
    variable = stress_11
  []

  [stress_12_el_0]
    type = ElementalVariableValue
    elementid = 0
    variable = stress_12
  []

  [stress_00_el_0]
    type = ElementalVariableValue
    elementid = 0
    variable = stress_00
  []

  [stress_01_el_0]
    type = ElementalVariableValue
    elementid = 0
    variable = stress_01
  []

  [stress_02_el_0]
    type = ElementalVariableValue
    elementid = 0
    variable = stress_02
  []

  [stress_22_el_0]
    type = ElementalVariableValue
    elementid = 0
    variable = stress_22
  []
[]

[Preconditioning]
  [smp]
    type = SMP
    full = true
  []
[]

[Executioner]
  type = Transient
  solve_type = PJFNK
  l_tol = 1e-11
  nl_max_its = 15
  nl_rel_tol = 1e-11
  nl_abs_tol = 1e-10
  l_max_its = 20
  dt = 1
  dtmin = 0.01
  timestep_tolerance = 2e-13
  end_time = 1
[]

[Outputs]
  exodus = true
[]

(modules/solid_mechanics/test/tests/mean_cap_TC/random02.i)

# apply many random large deformations, checking that the algorithm returns correctly to
# the yield surface each time.
[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1000
  ny = 125
  nz = 1
  xmin = 0
  xmax = 1000
  ymin = 0
  ymax = 125
  zmin = 0
  zmax = 1
[]


[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
[]

[Kernels]
  [SolidMechanics]
    displacements = 'disp_x disp_y disp_z'
  [../]
[]


[ICs]
  [./x]
    type = RandomIC
    min = -0.1
    max = 0.1
    variable = disp_x
  [../]
  [./y]
    type = RandomIC
    min = -0.1
    max = 0.1
    variable = disp_y
  [../]
  [./z]
    type = RandomIC
    min = -0.1
    max = 0.1
    variable = disp_z
  [../]
[]

[BCs]
  [./x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'front back'
    function = '0'
  [../]
  [./y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'front back'
    function = '0'
  [../]
  [./z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'front back'
    function = '0'
  [../]
[]

[AuxVariables]
  [./yield_fcn]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./iter]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]

[AuxKernels]
  [./yield_fcn_auxk]
    type = MaterialStdVectorAux
    index = 0
    property = plastic_yield_function
    variable = yield_fcn
  [../]
  [./iter]
    type = MaterialRealAux
    property = plastic_NR_iterations
    variable = iter
  [../]
[]

[Postprocessors]
  [./max_yield_fcn]
    type = ElementExtremeValue
    variable = yield_fcn
    outputs = 'console'
  [../]
  [./should_be_zero]
    type = FunctionValuePostprocessor
    function = should_be_zero_fcn
  [../]
  [./av_iter]
    type = ElementAverageValue
    variable = iter
    outputs = 'console'
  [../]
[]

[Functions]
  [./should_be_zero_fcn]
    type = ParsedFunction
    expression = 'if(a<1E-3,0,a)'
    symbol_names = 'a'
    symbol_values = 'max_yield_fcn'
  [../]
[]

[UserObjects]
  [./tensile_strength]
    type = SolidMechanicsHardeningConstant
    value = 1
  [../]
  [./compressive_strength]
    type = SolidMechanicsHardeningConstant
    value = -1.5
  [../]
  [./cap]
    type = SolidMechanicsPlasticMeanCapTC
    tensile_strength = tensile_strength
    compressive_strength = compressive_strength
    yield_function_tolerance = 1E-3
    internal_constraint_tolerance = 1E-9
    use_custom_returnMap = true
    use_custom_cto = true
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    block = 0
    fill_method = symmetric_isotropic
    C_ijkl = '0.7E7 1E7'
  [../]
  [./strain]
    type = ComputeIncrementalStrain
    block = 0
    displacements = 'disp_x disp_y disp_z'
  [../]
  [./mc]
    type = ComputeMultiPlasticityStress
    block = 0
    max_NR_iterations = 2
    ep_plastic_tolerance = 1E-6
    plastic_models = cap
  [../]
[]


[Executioner]
  end_time = 1
  dt = 1
  type = Transient
[]


[Outputs]
  file_base = random02
  exodus = false
  [./csv]
    type = CSV
  [../]
[]

(modules/solid_mechanics/test/tests/multi/four_surface24.i)

# Plasticit models:
# SimpleTester0 with a = 0 and b = 1 and strength = 1
# SimpleTester1 with a = 1 and b = 0 and strength = 1
# SimpleTester2 with a = 1 and b = 2 and strength = 3.1
# SimpleTester3 with a = 2 and b = 1 and strength = 3.1
#
# Lame lambda = 0 (Poisson=0).  Lame mu = 0.5E6
#
# A single element is stretched by 2.1E-6m in y direction and 3E-6 in z direction.
# trial stress_yy = 2.1 and stress_zz = 3.0
#
# This is similar to four_surface14.i, and a description is found there.
# The result should be stress_zz=1=stress_yy, with internal0=2
# and internal1=1.1

[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]


[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
[]

[Kernels]
  [SolidMechanics]
    displacements = 'disp_x disp_y disp_z'
  [../]
[]


[BCs]
  [./x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'front back'
    function = '0E-6*x'
  [../]
  [./y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'front back'
    function = '2.1E-6*y'
  [../]
  [./z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'front back'
    function = '3.0E-6*z'
  [../]
[]

[AuxVariables]
  [./stress_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f0]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f1]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f2]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f3]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./int0]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./int1]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./int2]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./int3]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]

[AuxKernels]
  [./stress_xx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xx
    index_i = 0
    index_j = 0
  [../]
  [./stress_xy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xy
    index_i = 0
    index_j = 1
  [../]
  [./stress_xz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xz
    index_i = 0
    index_j = 2
  [../]
  [./stress_yy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yy
    index_i = 1
    index_j = 1
  [../]
  [./stress_yz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yz
    index_i = 1
    index_j = 2
  [../]
  [./stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zz
    index_i = 2
    index_j = 2
  [../]
  [./f0]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 0
    variable = f0
  [../]
  [./f1]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 1
    variable = f1
  [../]
  [./f2]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 2
    variable = f2
  [../]
  [./f3]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 3
    variable = f3
  [../]
  [./int0]
    type = MaterialStdVectorAux
    property = plastic_internal_parameter
    factor = 1E6
    index = 0
    variable = int0
  [../]
  [./int1]
    type = MaterialStdVectorAux
    property = plastic_internal_parameter
    factor = 1E6
    index = 1
    variable = int1
  [../]
  [./int2]
    type = MaterialStdVectorAux
    property = plastic_internal_parameter
    factor = 1E6
    index = 2
    variable = int2
  [../]
  [./int3]
    type = MaterialStdVectorAux
    property = plastic_internal_parameter
    factor = 1E6
    index = 3
    variable = int3
  [../]
[]

[Postprocessors]
  [./s_xx]
    type = PointValue
    point = '0 0 0'
    variable = stress_xx
  [../]
  [./s_xy]
    type = PointValue
    point = '0 0 0'
    variable = stress_xy
  [../]
  [./s_xz]
    type = PointValue
    point = '0 0 0'
    variable = stress_xz
  [../]
  [./s_yy]
    type = PointValue
    point = '0 0 0'
    variable = stress_yy
  [../]
  [./s_yz]
    type = PointValue
    point = '0 0 0'
    variable = stress_yz
  [../]
  [./s_zz]
    type = PointValue
    point = '0 0 0'
    variable = stress_zz
  [../]
  [./f0]
    type = PointValue
    point = '0 0 0'
    variable = f0
  [../]
  [./f1]
    type = PointValue
    point = '0 0 0'
    variable = f1
  [../]
  [./f2]
    type = PointValue
    point = '0 0 0'
    variable = f2
  [../]
  [./f3]
    type = PointValue
    point = '0 0 0'
    variable = f3
  [../]
  [./int0]
    type = PointValue
    point = '0 0 0'
    variable = int0
  [../]
  [./int1]
    type = PointValue
    point = '0 0 0'
    variable = int1
  [../]
  [./int2]
    type = PointValue
    point = '0 0 0'
    variable = int2
  [../]
  [./int3]
    type = PointValue
    point = '0 0 0'
    variable = int3
  [../]
[]

[UserObjects]
  [./simple0]
    type = SolidMechanicsPlasticSimpleTester
    a = 0
    b = 1
    strength = 1
    yield_function_tolerance = 1.0E-6
    internal_constraint_tolerance = 1.0E-6
  [../]
  [./simple1]
    type = SolidMechanicsPlasticSimpleTester
    a = 1
    b = 0
    strength = 1
    yield_function_tolerance = 1.0E-6
    internal_constraint_tolerance = 1.0E-6
  [../]
  [./simple2]
    type = SolidMechanicsPlasticSimpleTester
    a = 1
    b = 2
    strength = 3.1
    yield_function_tolerance = 1.0E-6
    internal_constraint_tolerance = 1.0E-6
  [../]
  [./simple3]
    type = SolidMechanicsPlasticSimpleTester
    a = 2
    b = 1
    strength = 3.1
    yield_function_tolerance = 1.0E-6
    internal_constraint_tolerance = 1.0E-6
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    block = 0
    fill_method = symmetric_isotropic
    C_ijkl = '0 0.5E6'
  [../]
  [./strain]
    type = ComputeFiniteStrain
    block = 0
    displacements = 'disp_x disp_y disp_z'
  [../]
  [./multi]
    type = ComputeMultiPlasticityStress
    block = 0
    ep_plastic_tolerance = 1E-9
    plastic_models = 'simple0 simple1 simple2 simple3'
    deactivation_scheme = 'optimized_to_safe'
    max_NR_iterations = 4
    min_stepsize = 1
    debug_fspb = crash
    debug_jac_at_stress = '10 0 0 0 10 0 0 0 10'
    debug_jac_at_pm = '1 1 1'
    debug_jac_at_intnl = '1 1 1'
    debug_stress_change = 1E-5
    debug_pm_change = '1E-6 1E-6 1E-6'
    debug_intnl_change = '1E-6 1E-6 1E-6'
  [../]
[]


[Executioner]
  end_time = 1
  dt = 1
  type = Transient
[]


[Outputs]
  file_base = four_surface24
  exodus = false
  [./csv]
    type = CSV
    [../]
[]

(modules/peridynamics/test/tests/simple_tests/2D_regularD_constH_BPD.i)

# Test for bond-based peridynamic formulation
# for regular grid from generated mesh with const bond constants

# Square plate with Dirichlet boundary conditions applied
# at the left, top and bottom edges

[GlobalParams]
  displacements = 'disp_x disp_y'
[]

[Mesh]
  type = PeridynamicsMesh
  horizon_number = 3

  [./gmg]
    type = GeneratedMeshGenerator
    dim = 2
    nx = 4
    ny = 4
  [../]
  [./gpd]
    type = MeshGeneratorPD
    input = gmg
    retain_fe_mesh = false
  [../]
[]

[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
[]

[BCs]
  [./left_x]
    type = DirichletBC
    variable = disp_x
    boundary = 1003
    value = 0.0
  [../]
  [./top_y]
    type = DirichletBC
    variable = disp_y
    boundary = 1002
    value = 0.0
  [../]
  [./bottom_y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 1000
    function = '-0.001*t'
  [../]
[]

[Modules/Peridynamics/Mechanics/Master]
  [./all]
    formulation = BOND
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeIsotropicElasticityTensor
    youngs_modulus = 2e5
    poissons_ratio = 0.33
  [../]

  [./force_density]
    type = ComputeSmallStrainConstantHorizonMaterialBPD
  [../]
[]

[Functions]
  [./disp_x_anal]
    type = PiecewiseLinear
    axis = x
    x = '0 1'
    y = '0 -0.00033'
  [../]
  [./disp_y_anal]
    type = PiecewiseLinear
    axis = y
    x = '0 1'
    y = '-0.001 0'
  [../]
[]

[Postprocessors]
  [./anal_disp_L2]
    type = NodalFunctionsL2NormPD
    functions = 'disp_x_anal disp_y_anal'
  [../]
  [./disp_diff_L2]
    type = NodalDisplacementDifferenceL2NormPD
    analytic_functions = 'disp_x_anal disp_y_anal'
  [../]
[]

[Preconditioning]
  [./SMP]
    type = SMP
    full = true
  [../]
[]

[Executioner]
  type = Transient
  solve_type = PJFNK
  line_search = none
  start_time = 0
  end_time = 1
[]

[Outputs]
  file_base = 2D_regularD_constH_BPD
  exodus = true
[]

(modules/solid_mechanics/test/tests/lagrangian/centrosymmetric_spherical/total/jacobian/dirichlet.i)

[GlobalParams]
  displacements = 'disp_r'
  large_kinematics = true
  stabilize_strain = true
[]

[Mesh]
  [gmg]
    type = GeneratedMeshGenerator
    dim = 1
    nx = 5
  []
[]

[Problem]
  coord_type = RSPHERICAL
[]

[Variables]
  [disp_r]
  []
[]

[Kernels]
  [sdr]
    type = TotalLagrangianStressDivergenceCentrosymmetricSpherical
    variable = disp_r
    component = 0
  []
[]

[BCs]
  [left]
    type = DirichletBC
    preset = false
    variable = disp_r
    boundary = left
    value = 0.0
  []
  [right]
    type = FunctionDirichletBC
    preset = false
    variable = disp_r
    boundary = right
    function = 't'
  []
[]

[Materials]
  [elastic_tensor]
    type = ComputeIsotropicElasticityTensor
    youngs_modulus = 1000.0
    poissons_ratio = 0.25
  []
  [compute_stress]
    type = ComputeLagrangianLinearElasticStress
  []
  [compute_strain]
    type = ComputeLagrangianStrainCentrosymmetricSpherical
  []
[]

[Executioner]
  type = Transient

  solve_type = NEWTON

  petsc_options_iname = '-pc_type'
  petsc_options_value = 'lu'
  automatic_scaling = true

  nl_abs_tol = 1e-10
  nl_rel_tol = 1e-10

  dt = 0.1
  num_steps = 5
[]

(modules/navier_stokes/test/tests/finite_element/ins/mms/supg/supg_mms_test.i)

mu=1.5
rho=2.5

[GlobalParams]
  gravity = '0 0 0'
  supg = true
  convective_term = true
  integrate_p_by_parts = false
  laplace = true
  u = vel_x
  v = vel_y
  pressure = p
  alpha = 1
  order = SECOND
  family = LAGRANGE
[]

[Mesh]
  [gen]
    type = GeneratedMeshGenerator
    dim = 2
    xmin = 0
    xmax = 1.0
    ymin = 0
    ymax = 1.0
    elem_type = QUAD9
    nx = 4
    ny = 4
  []
  [./corner_node]
    type = ExtraNodesetGenerator
    new_boundary = 'pinned_node'
    nodes = '0'
    input = gen
  [../]
[]

[Variables]
  [./vel_x]
  [../]

  [./vel_y]
  [../]

  [./p]
    order = FIRST
  [../]
[]

[Kernels]
  # mass
  [./mass]
    type = INSMass
    variable = p
  [../]

  # x-momentum, space
  [./x_momentum_space]
    type = INSMomentumLaplaceForm
    variable = vel_x
    component = 0
    forcing_func = vel_x_source_func
  [../]

  # y-momentum, space
  [./y_momentum_space]
    type = INSMomentumLaplaceForm
    variable = vel_y
    component = 1
    forcing_func = vel_y_source_func
  [../]

  [./p_source]
    type = BodyForce
    function = p_source_func
    variable = p
  [../]
[]

[BCs]
  [./vel_x]
    type = FunctionDirichletBC
    preset = false
    boundary = 'left right top bottom'
    function = vel_x_func
    variable = vel_x
  [../]
  [./vel_y]
    type = FunctionDirichletBC
    preset = false
    boundary = 'left right top bottom'
    function = vel_y_func
    variable = vel_y
  [../]
  [./p]
    type = FunctionDirichletBC
    preset = false
    boundary = 'left right top bottom'
    function = p_func
    variable = p
  [../]
[]

[Functions]
  [./vel_x_source_func]
    type = ParsedFunction
    expression = '-${mu}*(-0.028*pi^2*x^2*sin(0.2*pi*x*y) - 0.028*pi^2*y^2*sin(0.2*pi*x*y) - 0.1*pi^2*sin(0.5*pi*x) - 0.4*pi^2*sin(pi*y)) + ${rho}*(0.14*pi*x*cos(0.2*pi*x*y) + 0.4*pi*cos(pi*y))*(0.6*sin(0.8*pi*x) + 0.3*sin(0.3*pi*y) + 0.2*sin(0.3*pi*x*y) + 0.3) + ${rho}*(0.14*pi*y*cos(0.2*pi*x*y) + 0.2*pi*cos(0.5*pi*x))*(0.4*sin(0.5*pi*x) + 0.4*sin(pi*y) + 0.7*sin(0.2*pi*x*y) + 0.5) + 0.1*pi*y*cos(0.2*pi*x*y) + 0.25*pi*cos(0.5*pi*x)'
  [../]
  [./vel_y_source_func]
    type = ParsedFunction
    expression = '-${mu}*(-0.018*pi^2*x^2*sin(0.3*pi*x*y) - 0.018*pi^2*y^2*sin(0.3*pi*x*y) - 0.384*pi^2*sin(0.8*pi*x) - 0.027*pi^2*sin(0.3*pi*y)) + ${rho}*(0.06*pi*x*cos(0.3*pi*x*y) + 0.09*pi*cos(0.3*pi*y))*(0.6*sin(0.8*pi*x) + 0.3*sin(0.3*pi*y) + 0.2*sin(0.3*pi*x*y) + 0.3) + ${rho}*(0.06*pi*y*cos(0.3*pi*x*y) + 0.48*pi*cos(0.8*pi*x))*(0.4*sin(0.5*pi*x) + 0.4*sin(pi*y) + 0.7*sin(0.2*pi*x*y) + 0.5) + 0.1*pi*x*cos(0.2*pi*x*y) + 0.3*pi*cos(0.3*pi*y)'
  [../]
  [./p_source_func]
    type = ParsedFunction
    expression = '-0.06*pi*x*cos(0.3*pi*x*y) - 0.14*pi*y*cos(0.2*pi*x*y) - 0.2*pi*cos(0.5*pi*x) - 0.09*pi*cos(0.3*pi*y)'
  [../]
  [./vel_x_func]
    type = ParsedFunction
    expression = '0.4*sin(0.5*pi*x) + 0.4*sin(pi*y) + 0.7*sin(0.2*pi*x*y) + 0.5'
  [../]
  [./vel_y_func]
    type = ParsedFunction
    expression = '0.6*sin(0.8*pi*x) + 0.3*sin(0.3*pi*y) + 0.2*sin(0.3*pi*x*y) + 0.3'
  [../]
  [./p_func]
    type = ParsedFunction
    expression = '0.5*sin(0.5*pi*x) + 1.0*sin(0.3*pi*y) + 0.5*sin(0.2*pi*x*y) + 0.5'
  [../]
  [./vxx_func]
    type = ParsedFunction
    expression = '0.14*pi*y*cos(0.2*pi*x*y) + 0.2*pi*cos(0.5*pi*x)'
  [../]
[]

[Materials]
  [./const]
    type = GenericConstantMaterial
    block = 0
    prop_names = 'rho mu'
    prop_values = '${rho}  ${mu}'
  [../]
[]

[Preconditioning]
  [./SMP]
    type = SMP
    full = true
    solve_type = 'NEWTON'
  [../]
[]

[Executioner]
  type = Steady
  petsc_options = '-snes_converged_reason -ksp_converged_reason'
  petsc_options_iname = '-pc_type -pc_factor_shift_type'
  petsc_options_value = 'lu NONZERO'
  line_search = 'none'
  nl_rel_tol = 1e-12
  nl_abs_tol = 1e-13
  nl_max_its = 6
  l_tol = 1e-6
  l_max_its = 500
[]

[Outputs]
  [./exodus]
    type = Exodus
  [../]
  [./csv]
    type = CSV
  [../]
[]

[Postprocessors]
  [./L2vel_x]
    type = ElementL2Error
    variable = vel_x
    function = vel_x_func
    outputs = 'console'    execute_on = 'timestep_end'
  [../]
  [./L2vel_y]
    variable = vel_y
    function = vel_y_func
    type = ElementL2Error
    outputs = 'console'    execute_on = 'timestep_end'
  [../]
  [./L2p]
    variable = p
    function = p_func
    type = ElementL2Error
    outputs = 'console'    execute_on = 'timestep_end'
  [../]
  [./L2vxx]
    variable = vxx
    function = vxx_func
    type = ElementL2Error
    outputs = 'console'    execute_on = 'timestep_end'
  [../]
[]

[AuxVariables]
  [./vxx]
    family = MONOMIAL
    order = FIRST
  [../]
[]

[AuxKernels]
  [./vxx]
    type = VariableGradientComponent
    component = x
    variable = vxx
    gradient_variable = vel_x
  [../]
[]

(tutorials/darcy_thermo_mech/step07_adaptivity/problems/step7b_fine.i)

[Mesh]
  [gmg]
    type = GeneratedMeshGenerator
    dim = 2
    nx = 30
    ny = 3
    xmax = 0.304 # Length of test chamber
    ymax = 0.0257 # Test chamber radius
  []
  coord_type = RZ
  rz_coord_axis = X
  uniform_refine = 3
[]

[Variables]
  [pressure]
  []
  [temperature]
    initial_condition = 300 # Start at room temperature
  []
[]

[Kernels]
  [darcy_pressure]
    type = DarcyPressure
    variable = pressure
  []
  [heat_conduction]
    type = ADHeatConduction
    variable = temperature
  []
  [heat_conduction_time_derivative]
    type = ADHeatConductionTimeDerivative
    variable = temperature
  []
  [heat_convection]
    type = DarcyAdvection
    variable = temperature
    pressure = pressure
  []
[]

[BCs]
  [inlet_temperature]
    type = FunctionDirichletBC
    variable = temperature
    boundary = left
    function = 'if(t<0,350+50*t,350)'
  []
  [outlet_temperature]
    type = HeatConductionOutflow
    variable = temperature
    boundary = right
  []
  [inlet]
    type = DirichletBC
    variable = pressure
    boundary = left
    value = 4000 # (Pa) From Figure 2 from paper.  First data point for 1mm spheres.
  []
  [outlet]
    type = DirichletBC
    variable = pressure
    boundary = right
    value = 0 # (Pa) Gives the correct pressure drop from Figure 2 for 1mm spheres
  []
[]

[Materials/column]
  type = PackedColumn
  temperature = temperature
  radius = 1
[]

[AuxVariables/velocity]
  order = CONSTANT
  family = MONOMIAL_VEC
[]

[AuxKernels/velocity]
  type = DarcyVelocity
  variable = velocity
  execute_on = timestep_end
  pressure = pressure
[]

[Problem]
  type = FEProblem
[]

[Executioner]
  type = Transient
  end_time = 100
  dt = 0.25
  start_time = -1

  solve_type = NEWTON
  petsc_options_iname = '-pc_type -pc_hypre_type'
  petsc_options_value = 'hypre boomeramg'

  automatic_scaling = true
  steady_state_tolerance = 1e-5
  steady_state_detection = true

  [TimeStepper]
    type = FunctionDT
    function = 'if(t<0,0.1,0.25)'
  []
[]

[Outputs]
  exodus = true
[]

(modules/solid_mechanics/test/tests/lagrangian/cartesian/total/cross_material/correctness/plastic_j2.i)

# Simple 3D test

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
  large_kinematics = false
[]

[Variables]
  [disp_x]
  []
  [disp_y]
  []
  [disp_z]
  []
[]

[Mesh]
  [msh]
    type = GeneratedMeshGenerator
    dim = 3
    nx = 2
    ny = 1
    nz = 1
  []
[]

[AuxVariables]
  [strain_xx]
    order = CONSTANT
    family = MONOMIAL
  []
  [strain_yy]
    order = CONSTANT
    family = MONOMIAL
  []
  [strain_zz]
    order = CONSTANT
    family = MONOMIAL
  []
  [strain_xy]
    order = CONSTANT
    family = MONOMIAL
  []
  [strain_xz]
    order = CONSTANT
    family = MONOMIAL
  []
  [strain_yz]
    order = CONSTANT
    family = MONOMIAL
  []
  [stress_xx]
    order = CONSTANT
    family = MONOMIAL
  []
  [stress_yy]
    order = CONSTANT
    family = MONOMIAL
  []
  [stress_zz]
    order = CONSTANT
    family = MONOMIAL
  []
  [stress_xy]
    order = CONSTANT
    family = MONOMIAL
  []
  [stress_yz]
    order = CONSTANT
    family = MONOMIAL
  []
  [stress_xz]
    order = CONSTANT
    family = MONOMIAL
  []
[]

[AuxKernels]
  [stress_xx]
    type = RankTwoAux
    rank_two_tensor = cauchy_stress
    variable = stress_xx
    index_i = 0
    index_j = 0
    execute_on = timestep_end
  []
  [stress_yy]
    type = RankTwoAux
    rank_two_tensor = cauchy_stress
    variable = stress_yy
    index_i = 1
    index_j = 1
    execute_on = timestep_end
  []
  [stress_zz]
    type = RankTwoAux
    rank_two_tensor = cauchy_stress
    variable = stress_zz
    index_i = 2
    index_j = 2
    execute_on = timestep_end
  []
  [stress_xy]
    type = RankTwoAux
    rank_two_tensor = cauchy_stress
    variable = stress_xy
    index_i = 0
    index_j = 1
    execute_on = timestep_end
  []
  [stress_xz]
    type = RankTwoAux
    rank_two_tensor = cauchy_stress
    variable = stress_xz
    index_i = 0
    index_j = 2
    execute_on = timestep_end
  []
  [stress_yz]
    type = RankTwoAux
    rank_two_tensor = cauchy_stress
    variable = stress_yz
    index_i = 1
    index_j = 2
    execute_on = timestep_end
  []

  [strain_xx]
    type = RankTwoAux
    rank_two_tensor = mechanical_strain
    variable = strain_xx
    index_i = 0
    index_j = 0
    execute_on = timestep_end
  []
  [strain_yy]
    type = RankTwoAux
    rank_two_tensor = mechanical_strain
    variable = strain_yy
    index_i = 1
    index_j = 1
    execute_on = timestep_end
  []
  [strain_zz]
    type = RankTwoAux
    rank_two_tensor = mechanical_strain
    variable = strain_zz
    index_i = 2
    index_j = 2
    execute_on = timestep_end
  []
  [strain_xy]
    type = RankTwoAux
    rank_two_tensor = mechanical_strain
    variable = strain_xy
    index_i = 0
    index_j = 1
    execute_on = timestep_end
  []
  [strain_xz]
    type = RankTwoAux
    rank_two_tensor = mechanical_strain
    variable = strain_xz
    index_i = 0
    index_j = 2
    execute_on = timestep_end
  []
  [strain_yz]
    type = RankTwoAux
    rank_two_tensor = mechanical_strain
    variable = strain_yz
    index_i = 1
    index_j = 2
    execute_on = timestep_end
  []
[]

[Kernels]
  [sdx]
    type = TotalLagrangianStressDivergence
    variable = disp_x
    component = 0
  []
  [sdy]
    type = TotalLagrangianStressDivergence
    variable = disp_y
    component = 1
  []
  [sdz]
    type = TotalLagrangianStressDivergence
    variable = disp_z
    component = 2
  []
[]

[Functions]
  [pullx]
    type = ParsedFunction
    expression = 't'
  []
[]

[BCs]
  [leftx]
    type = DirichletBC
    preset = true
    boundary = left
    variable = disp_x
    value = 0.0
  []
  [lefty]
    type = DirichletBC
    preset = true
    boundary = bottom
    variable = disp_y
    value = 0.0
  []
  [leftz]
    type = DirichletBC
    preset = true
    boundary = back
    variable = disp_z
    value = 0.0
  []
  [pull_x]
    type = FunctionDirichletBC
    boundary = right
    variable = disp_x
    function = pullx
  []
[]

[UserObjects]
  [./str]
    type = SolidMechanicsHardeningPowerRule
    value_0 = 100.0
    epsilon0 = 0.1
    exponent = 2.0
  [../]
  [./j2]
    type = SolidMechanicsPlasticJ2
    yield_strength = str
    yield_function_tolerance = 1E-3
    internal_constraint_tolerance = 1E-9
  [../]
[]

[Materials]
  [elastic_tensor]
    type = ComputeIsotropicElasticityTensor
    youngs_modulus = 100000.0
    poissons_ratio = 0.3
  []
  [compute_stress]
    type = ComputeLagrangianWrappedStress
  []
  [compute_stress_base]
    type = ComputeMultiPlasticityStress
    plastic_models = j2
    ep_plastic_tolerance = 1E-9
  []
  [compute_strain]
    type = ComputeLagrangianStrain
  []
[]

[Preconditioning]
  [smp]
    type = SMP
    full = true
  []
[]

[Postprocessors]
  [./strain]
    type = ElementAverageValue
    variable = strain_xx
  []
  [./stress]
    type = ElementAverageValue
    variable = stress_xx
  []
[]

[Executioner]
  type = Transient

  solve_type = 'newton'
  line_search = none

  petsc_options_iname = '-pc_type'
  petsc_options_value = 'lu'

  l_max_its = 2
  l_tol = 1e-14
  nl_max_its = 15
  nl_rel_tol = 1e-8
  nl_abs_tol = 1e-10

  start_time = 0.0
  dt = 0.001
  dtmin = 0.001
  end_time = 0.05
[]

[Outputs]
  exodus = false
  csv = true
[]

(modules/solid_mechanics/test/tests/capped_mohr_coulomb/small_deform9.i)

# Using CappedMohrCoulomb with tensile failure only
# A single unit element is stretched in a complicated way
# that the trial stress is
#
#      1.16226      -0.0116587       0.0587872
#     -0.0116587         1.12695       0.0779428
#      0.0587872       0.0779428        0.710169
#
# This has eigenvalues
# la = {0.68849, 1.14101, 1.16987}
# and eigenvectors
#
# {-0.125484, -0.176871, 0.976202}
# {-0.0343704, -0.982614, -0.182451}
# {0.9915, -0.0564471, 0.117223}
#
# The tensile strength is 0.5 and Young=1 and Poisson=0.25.
# Using smoothing_tol=0.01, the return-map algorithm should
# return to, approximately, stress_I=stress_II=0.5.  This
# is a reduction of 0.66, so stress_III is approximately
# 0.68849 - v * 0.66 * 2 = 0.68849 - 0.25 * 0.66 * 2 = 0.36.
#
# E_22 = E(1-v)/(1+v)/(1-2v) = 1.2, and E_02 = E_22 v/(1-v)
# gamma_shear = ((smax-smin)^trial - (smax-smin)) / (E_22 - E_02)
# = (1-2v) * (smax^trial - smax) / (E_22(1 - 2v)/(1-v))
# = (1 - v) * (smax^trial - smax) / E_22
# Using psi = 30deg, sin(psi) = 1/2
# the shear correction to the tensile internal parameter is
# gamma_shear (E_22 + E_20) sin(psi) = gamma_shear E_22 sin(psi) / (1 - v)
# = gamma_shear E_22 / (1 - v) / 2
# Then the tensile internal parameter is
# (1 - v) * (reduction_of_(max+min)_principal - gamma_shear * E_22 / (1-v) / 2) / E_22
# = (1-v)(1+2v)(smax^trial - smax)/E_22 - gamma_shear / 2
# = 0.41 (approximately)
#
# The final stress is
#
# {0.498, -0.003, 0.017},
# {-0.003, 0.495, 0.024},
# {0.017, 0.024,  0.367}

[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]


[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]

[Physics/SolidMechanics/QuasiStatic]
  [./all]
    add_variables = true
    strain = finite
    incremental = true
    generate_output = 'max_principal_stress mid_principal_stress min_principal_stress stress_xx stress_xy stress_xz stress_yy stress_yz stress_zz'
  [../]
[]

[BCs]
  [./x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'front back'
    function = '3*x+2*y+z'
  [../]
  [./y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'front back'
    function = '3*x-4*y'
  [../]
  [./z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'front back'
    function = 'x-2*z'
  [../]
[]

[AuxVariables]
  [./f0]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f1]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f2]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./iter]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./intnl]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]

[AuxKernels]
  [./f0_auxk]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 0
    variable = f0
  [../]
  [./f1_auxk]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 1
    variable = f1
  [../]
  [./f2_auxk]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 2
    variable = f2
  [../]
  [./iter]
    type = MaterialRealAux
    property = plastic_NR_iterations
    variable = iter
  [../]
  [./intnl_auxk]
    type = MaterialStdVectorAux
    property = plastic_internal_parameter
    index = 1
    variable = intnl
  [../]
[]

[Postprocessors]
  [./s_I]
    type = PointValue
    point = '0 0 0'
    variable = max_principal_stress
  [../]
  [./s_II]
    type = PointValue
    point = '0 0 0'
    variable = mid_principal_stress
  [../]
  [./s_III]
    type = PointValue
    point = '0 0 0'
    variable = min_principal_stress
  [../]
  [./s_xx]
    type = PointValue
    point = '0 0 0'
    variable = stress_xx
  [../]
  [./s_xy]
    type = PointValue
    point = '0 0 0'
    variable = stress_xy
  [../]
  [./s_xz]
    type = PointValue
    point = '0 0 0'
    variable = stress_xz
  [../]
  [./s_yy]
    type = PointValue
    point = '0 0 0'
    variable = stress_yy
  [../]
  [./s_yz]
    type = PointValue
    point = '0 0 0'
    variable = stress_yz
  [../]
  [./s_zz]
    type = PointValue
    point = '0 0 0'
    variable = stress_zz
  [../]
  [./f0]
    type = PointValue
    point = '0 0 0'
    variable = f0
  [../]
  [./f1]
    type = PointValue
    point = '0 0 0'
    variable = f1
  [../]
  [./f2]
    type = PointValue
    point = '0 0 0'
    variable = f2
  [../]
  [./iter]
    type = PointValue
    point = '0 0 0'
    variable = iter
  [../]
  [./intnl]
    type = PointValue
    point = '0 0 0'
    variable = intnl
  [../]
[]

[UserObjects]
  [./ts]
    type = SolidMechanicsHardeningConstant
    value = 0.5
  [../]
  [./cs]
    type = SolidMechanicsHardeningConstant
    value = 1E6
  [../]
  [./coh]
    type = SolidMechanicsHardeningConstant
    value = 1E6
  [../]
  [./ang]
    type = SolidMechanicsHardeningConstant
    value = 30
    convert_to_radians = true
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeIsotropicElasticityTensor
    youngs_modulus = 1
    poissons_ratio = 0.25
  [../]
  [./tensile]
    type = CappedMohrCoulombStressUpdate
    tensile_strength = ts
    compressive_strength = cs
    cohesion = coh
    friction_angle = ang
    dilation_angle = ang
    smoothing_tol = 0.001
    yield_function_tol = 1.0E-12
  [../]
  [./stress]
    type = ComputeMultipleInelasticStress
    inelastic_models = tensile
    perform_finite_strain_rotations = false
  [../]
[]


[Executioner]
  end_time = 1
  dt = 1
  type = Transient
[]


[Outputs]
  file_base = small_deform9
  csv = true
[]

(modules/solid_mechanics/test/tests/multi/three_surface09.i)

# Plasticit models:
# SimpleTester0 with a = 0 and b = 1 and strength = 1
# SimpleTester1 with a = 1 and b = 0 and strength = 1
# SimpleTester2 with a = 1 and b = 1 and strength = 1.5
#
# Lame lambda = 0 (Poisson=0).  Lame mu = 0.5E6
#
# A single element is stretched by 2.0E-6m in y direction and 0.0E-6 in z direction.
# trial stress_yy = 2.0 and stress_zz = 0.0
#
# Then SimpleTester1 and SimpleTester2 should activate and the algorithm will return to
# the corner stress_yy=1.0, stress_zz=0.5
# However, this will mean that internal2<0, so SimpleTester2 will be deactivated
# and the algorithm will return to stress_yy=1
# internal1 should be 1.0, and internal2 should be 0

[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]


[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
[]

[Kernels]
  [SolidMechanics]
    displacements = 'disp_x disp_y disp_z'
  [../]
[]


[BCs]
  [./x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'front back'
    function = '0E-6*x'
  [../]
  [./y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'front back'
    function = '2.0E-6*y'
  [../]
  [./z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'front back'
    function = '0.0E-6*z'
  [../]
[]

[AuxVariables]
  [./stress_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f0]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f1]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f2]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./int0]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./int1]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./int2]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]

[AuxKernels]
  [./stress_xx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xx
    index_i = 0
    index_j = 0
  [../]
  [./stress_xy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xy
    index_i = 0
    index_j = 1
  [../]
  [./stress_xz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xz
    index_i = 0
    index_j = 2
  [../]
  [./stress_yy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yy
    index_i = 1
    index_j = 1
  [../]
  [./stress_yz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yz
    index_i = 1
    index_j = 2
  [../]
  [./stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zz
    index_i = 2
    index_j = 2
  [../]
  [./f0]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 0
    variable = f0
  [../]
  [./f1]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 1
    variable = f1
  [../]
  [./f2]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 2
    variable = f2
  [../]
  [./int0]
    type = MaterialStdVectorAux
    property = plastic_internal_parameter
    factor = 1E6
    index = 0
    variable = int0
  [../]
  [./int1]
    type = MaterialStdVectorAux
    property = plastic_internal_parameter
    factor = 1E6
    index = 1
    variable = int1
  [../]
  [./int2]
    type = MaterialStdVectorAux
    property = plastic_internal_parameter
    factor = 1E6
    index = 2
    variable = int2
  [../]
[]

[Postprocessors]
  [./s_xx]
    type = PointValue
    point = '0 0 0'
    variable = stress_xx
  [../]
  [./s_xy]
    type = PointValue
    point = '0 0 0'
    variable = stress_xy
  [../]
  [./s_xz]
    type = PointValue
    point = '0 0 0'
    variable = stress_xz
  [../]
  [./s_yy]
    type = PointValue
    point = '0 0 0'
    variable = stress_yy
  [../]
  [./s_yz]
    type = PointValue
    point = '0 0 0'
    variable = stress_yz
  [../]
  [./s_zz]
    type = PointValue
    point = '0 0 0'
    variable = stress_zz
  [../]
  [./f0]
    type = PointValue
    point = '0 0 0'
    variable = f0
  [../]
  [./f1]
    type = PointValue
    point = '0 0 0'
    variable = f1
  [../]
  [./f2]
    type = PointValue
    point = '0 0 0'
    variable = f2
  [../]
  [./int0]
    type = PointValue
    point = '0 0 0'
    variable = int0
  [../]
  [./int1]
    type = PointValue
    point = '0 0 0'
    variable = int1
  [../]
  [./int2]
    type = PointValue
    point = '0 0 0'
    variable = int2
  [../]
[]

[UserObjects]
  [./simple0]
    type = SolidMechanicsPlasticSimpleTester
    a = 0
    b = 1
    strength = 1
    yield_function_tolerance = 1.0E-9
    internal_constraint_tolerance = 1.0E-9
  [../]
  [./simple1]
    type = SolidMechanicsPlasticSimpleTester
    a = 1
    b = 0
    strength = 1
    yield_function_tolerance = 1.0E-9
    internal_constraint_tolerance = 1.0E-9
  [../]
  [./simple2]
    type = SolidMechanicsPlasticSimpleTester
    a = 1
    b = 1
    strength = 1.5
    yield_function_tolerance = 1.0E-9
    internal_constraint_tolerance = 1.0E-9
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    block = 0
    fill_method = symmetric_isotropic
    C_ijkl = '0 0.5E6'
  [../]
  [./strain]
    type = ComputeFiniteStrain
    block = 0
    displacements = 'disp_x disp_y disp_z'
  [../]
  [./multi]
    type = ComputeMultiPlasticityStress
    block = 0
    ep_plastic_tolerance = 1E-9
    plastic_models = 'simple0 simple1 simple2'
    max_NR_iterations = 2
    min_stepsize = 1
    debug_fspb = crash
    debug_jac_at_stress = '10 0 0 0 10 0 0 0 10'
    debug_jac_at_pm = '1 1'
    debug_jac_at_intnl = '1 1'
    debug_stress_change = 1E-5
    debug_pm_change = '1E-6 1E-6'
    debug_intnl_change = '1E-6 1E-6'
  [../]
[]


[Executioner]
  end_time = 1
  dt = 1
  type = Transient
[]


[Outputs]
  file_base = three_surface09
  exodus = false
  [./csv]
    type = CSV
    [../]
[]

(modules/solid_mechanics/test/tests/mean_cap/small_deform1.i)

# apply uniform stretch in x, y and z directions.
# With a = 1 and strength = 2, the algorithm should return to sigma_m = 2

[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]


[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
[]

[Kernels]
  [SolidMechanics]
    displacements = 'disp_x disp_y disp_z'
  [../]
[]


[BCs]
  [./x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'front back'
    function = '1E-6*x'
  [../]
  [./y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'front back'
    function = '1E-6*y'
  [../]
  [./z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'front back'
    function = '1E-6*z'
  [../]
[]

[AuxVariables]
  [./stress_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]

[AuxKernels]
  [./stress_xx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xx
    index_i = 0
    index_j = 0
  [../]
  [./stress_xy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xy
    index_i = 0
    index_j = 1
  [../]
  [./stress_xz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xz
    index_i = 0
    index_j = 2
  [../]
  [./stress_yy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yy
    index_i = 1
    index_j = 1
  [../]
  [./stress_yz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yz
    index_i = 1
    index_j = 2
  [../]
  [./stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zz
    index_i = 2
    index_j = 2
  [../]
  [./f]
    type = MaterialStdVectorAux
    index = 0
    property = plastic_yield_function
    variable = f
  [../]
[]

[Postprocessors]
  [./s_xx]
    type = PointValue
    point = '0 0 0'
    variable = stress_xx
  [../]
  [./s_xy]
    type = PointValue
    point = '0 0 0'
    variable = stress_xy
  [../]
  [./s_xz]
    type = PointValue
    point = '0 0 0'
    variable = stress_xz
  [../]
  [./s_yy]
    type = PointValue
    point = '0 0 0'
    variable = stress_yy
  [../]
  [./s_yz]
    type = PointValue
    point = '0 0 0'
    variable = stress_yz
  [../]
  [./s_zz]
    type = PointValue
    point = '0 0 0'
    variable = stress_zz
  [../]
  [./f]
    type = PointValue
    point = '0 0 0'
    variable = f
  [../]
[]

[UserObjects]
  [./strength]
    type = SolidMechanicsHardeningConstant
    value = 2
  [../]
  [./cap]
    type = SolidMechanicsPlasticMeanCap
    a = 1
    strength = strength
    yield_function_tolerance = 1E-3
    internal_constraint_tolerance = 1E-9
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    block = 0
    fill_method = symmetric_isotropic
    C_ijkl = '0 1E7'
  [../]
  [./strain]
    type = ComputeIncrementalStrain
    block = 0
    displacements = 'disp_x disp_y disp_z'
  [../]
  [./mean_cap]
    type = ComputeMultiPlasticityStress
    block = 0
    ep_plastic_tolerance = 1E-9
    plastic_models = cap
    debug_fspb = crash
    debug_jac_at_stress = '10 0 0 0 10 0 0 0 10'
    debug_jac_at_pm = 1
    debug_jac_at_intnl = 1
    debug_stress_change = 1E-5
    debug_pm_change = 1E-6
    debug_intnl_change = 1E-6
  [../]
[]


[Executioner]
  end_time = 1
  dt = 1
  type = Transient
[]


[Outputs]
  file_base = small_deform1
  exodus = false
  [./csv]
    type = CSV
  [../]
[]

(test/tests/time_integrators/implicit-euler/ie.i)

###########################################################
# This is a simple test with a time-dependent problem
# demonstrating the use of the TimeIntegrator system.
#
# Testing a solution that is second order in space
# and first order in time
#
# @Requirement F1.30
###########################################################

[Mesh]
  type = GeneratedMesh
  dim = 2
  xmin = -1
  xmax = 1
  ymin = -1
  ymax = 1
  nx = 10
  ny = 10
  elem_type = QUAD9
[]

[Variables]
  [./u]
    order = SECOND
    family = LAGRANGE

    [./InitialCondition]
      type = ConstantIC
      value = 0
    [../]
  [../]
[]

[Functions]
  [./forcing_fn]
    type = ParsedFunction
    expression = ((x*x)+(y*y))-(4*t)
  [../]

  [./exact_fn]
    type = ParsedFunction
    expression = t*((x*x)+(y*y))
  [../]
[]

[Kernels]
  [./ie]
    type = TimeDerivative
    variable = u
  [../]

  [./diff]
    type = Diffusion
    variable = u
  [../]

  [./ffn]
    type = BodyForce
    variable = u
    function = forcing_fn
  [../]
[]

[BCs]
  [./all]
    type = FunctionDirichletBC
    variable = u
    boundary = '0 1 2 3'
    function = exact_fn
  [../]
[]

[Postprocessors]
  [./l2_err]
    type = ElementL2Error
    variable = u
    function = exact_fn
  [../]
[]

[Executioner]
  type = Transient

  # Test of the TimeIntegrator System
  scheme = 'implicit-euler'

  start_time = 0.0
  num_steps = 5
  dt = 0.25
[]

[Outputs]
  exodus = true
[]

(modules/solid_mechanics/test/tests/weak_plane_shear/small_deform3.i)

# apply a number of "random" configurations and
# check that the algorithm returns to the yield surface
#
# must be careful here - we cannot put in arbitrary values of C_ijkl, otherwise the condition
# df/dsigma * C * flow_dirn < 0 for some stresses
# The important features that must be obeyed are:
# 0 = C_0222 = C_1222  (holds for transversely isotropic, for instance)
# C_0212 < C_0202 = C_1212 (holds for transversely isotropic)
[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]

[Mesh]
  type = GeneratedMesh
  dim = 3
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]

[Physics/SolidMechanics/QuasiStatic/all]
  strain = FINITE
  add_variables = true
[]

[BCs]
  [bottomx]
    type = DirichletBC
    variable = disp_x
    boundary = back
    value = 0.0
  []
  [bottomy]
    type = DirichletBC
    variable = disp_y
    boundary = back
    value = 0.0
  []
  [bottomz]
    type = DirichletBC
    variable = disp_z
    boundary = back
    value = 0.0
  []

  # the following are "random" deformations
  # each is O(1E-5) to keep deformations small
  [topx]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = front
    function = '(sin(0.1*t)+x)/1E5'
  []
  [topy]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = front
    function = '(cos(t)+x*y)/1E5'
  []
  [topz]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = front
    function = 'sin(0.4321*t)*x*y*z/1E5'
  []
[]

[AuxVariables]
  [yield_fcn]
    order = CONSTANT
    family = MONOMIAL
  []
[]

[AuxKernels]
  [yield_fcn_auxk]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 0
    variable = yield_fcn
  []
[]

[Postprocessors]
  [yield_fcn_at_zero]
    type = PointValue
    point = '0 0 0'
    variable = yield_fcn
    outputs = 'console'
  []
  [should_be_zero]
    type = FunctionValuePostprocessor
    function = should_be_zero_fcn
  []
[]

[Functions]
  [should_be_zero_fcn]
    type = ParsedFunction
    expression = 'if(a<1E-3,0,a)'
    symbol_names = 'a'
    symbol_values = 'yield_fcn_at_zero'
  []
[]

[UserObjects]
  [coh]
    type = SolidMechanicsHardeningConstant
    value = 1E3
  []
  [tanphi]
    type = SolidMechanicsHardeningConstant
    value = 0.5773503
  []
  [tanpsi]
    type = SolidMechanicsHardeningConstant
    value = 0.08748866
  []
  [wps]
    type = SolidMechanicsPlasticWeakPlaneShear
    cohesion = coh
    tan_friction_angle = tanphi
    tan_dilation_angle = tanpsi
    smoother = 100
    yield_function_tolerance = 1E-3
    internal_constraint_tolerance = 1E-3
  []
[]

[Materials]
  [elasticity_tensor]
    type = ComputeElasticityTensor
    # the following is transversely isotropic, i think.
    fill_method = symmetric9
    C_ijkl = '3E9 1E9 3E9 3E9 3E9 6E9 1E9 1E9 9E9'
  []
  [mc]
    type = ComputeMultiPlasticityStress
    plastic_models = wps
    transverse_direction = '0 0 1'
    max_NR_iterations = 100
    ep_plastic_tolerance = 1E-3
    debug_fspb = crash
  []
[]

[Executioner]
  end_time = 1E4
  dt = 1
  type = Transient
[]

[Outputs]
  csv = true
[]

(modules/contact/test/tests/fieldsplit/frictionless_mortar_FS.i)

offset = 0.021

vy = 0.15
vx = 0.04

refine = 1

[GlobalParams]
  displacements = 'disp_x disp_y'
  volumetric_locking_correction = true
[]

[Mesh]
  [original_file_mesh]
    type = FileMeshGenerator
    file = long_short_blocks.e
  []
  uniform_refine = ${refine}
[]

[Physics/SolidMechanics/QuasiStatic]
  [all]
    strain = FINITE
    incremental = true
    add_variables = true
    block = '1 2'
    use_automatic_differentiation = true
  []
[]

[Functions]
  [horizontal_movement]
    type = ParsedFunction
    value = 'if(t<0.5,${vx}*t-${offset},${vx}-${offset})'
  []
  [vertical_movement]
    type = ParsedFunction
    value = 'if(t<0.5,${offset},${vy}*(t-0.5)+${offset})'
  []
[]

[BCs]
  [push_left_x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 30
    function = horizontal_movement
    preset = false
  []
  [fix_right_x]
    type = DirichletBC
    variable = disp_x
    boundary = 40
    value = 0.0
  []
  [fix_right_y]
    type = DirichletBC
    variable = disp_y
    boundary = '40'
    value = 0.0
  []
  [push_left_y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = '30'
    function = vertical_movement
    preset = false
  []
[]

[Materials]
  [elasticity_tensor_left]
    type = ADComputeIsotropicElasticityTensor
    block = 1
    youngs_modulus = 1.0e6
    poissons_ratio = 0.3
  []
  [stress_left]
    type = ADComputeFiniteStrainElasticStress
    block = 1
  []
  [elasticity_tensor_right]
    type = ADComputeIsotropicElasticityTensor
    block = 2
    youngs_modulus = 1.0e6
    poissons_ratio = 0.3
  []
  [stress_right]
    type = ADComputeFiniteStrainElasticStress
    block = 2
  []
[]

[Contact]
  [leftright]
    secondary = 10
    primary = 20
    model = frictionless
    formulation = mortar
    c_normal = 1e6
  []
[]

[ICs]
  [disp_y]
    block = 1
    variable = disp_y
    value = ${offset}
    type = ConstantIC
  []
  [disp_x]
    block = 1
    variable = disp_x
    value = -${offset}
    type = ConstantIC
  []
[]

[Preconditioning]
  [FSP]
    type = FSP
    topsplit = 'contact_interior'
    [contact_interior]
      splitting = 'interior contact'
      splitting_type = schur
      petsc_options = '-snes_ksp_ew'
      petsc_options_iname = '-ksp_gmres_restart -pc_fieldsplit_schur_fact_type -mat_mffd_err'
      petsc_options_value = '200                full                           1e-5'
      schur_pre = 'S'
    []
    [interior]
      vars = 'disp_x disp_y'
      petsc_options_iname = '-ksp_type -pc_type -pc_hypre_type '
      petsc_options_value = 'gmres   hypre  boomeramg'
    []
    [contact]
      vars = 'leftright_normal_lm'
    []
  []
[]

[Executioner]
  type = Transient
  solve_type = 'PJFNK'
  dt = 0.1
  end_time = 1
  abort_on_solve_fail = true
  l_max_its = 200
  nl_abs_tol = 1e-8
  line_search = 'none'
  nl_max_its = 20
[]

[Outputs]
  exodus = true
[]

[Postprocessors]
  [lin]
    type = NumLinearIterations
    outputs = 'console'
  []
  [cum]
    type = CumulativeValuePostprocessor
    postprocessor = 'lin'
    outputs = 'console'
  []
[]

(modules/solid_mechanics/test/tests/mohr_coulomb/uni_axial1_small_strain.i)

[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]

[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
[]

[Kernels]
  [SolidMechanics]
    displacements = 'disp_x disp_y disp_z'
  [../]
[]


[BCs]
  # back = zmin
  # front = zmax
  # bottom = ymin
  # top = ymax
  # left = xmin
  # right = xmax
  [./xmin_xzero]
    type = DirichletBC
    variable = disp_x
    boundary = 'left'
    value = '0'
  [../]
  [./ymin_yzero]
    type = DirichletBC
    variable = disp_y
    boundary = 'bottom'
    value = '0'
  [../]
  [./zmin_zzero]
    type = DirichletBC
    variable = disp_z
    boundary = 'back'
    value = '0'
  [../]
  [./zmax_disp]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'front'
    function = '-1E-3*t'
  [../]
[]

[AuxVariables]
  [./stress_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./mc_int]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./yield_fcn]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]

[AuxKernels]
  [./stress_xx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xx
    index_i = 0
    index_j = 0
  [../]
  [./stress_xy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xy
    index_i = 0
    index_j = 1
  [../]
  [./stress_xz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xz
    index_i = 0
    index_j = 2
  [../]
  [./stress_yy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yy
    index_i = 1
    index_j = 1
  [../]
  [./stress_yz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yz
    index_i = 1
    index_j = 2
  [../]
  [./stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zz
    index_i = 2
    index_j = 2
  [../]
  [./mc_int_auxk]
    type = MaterialStdVectorAux
    index = 0
    property = plastic_internal_parameter
    variable = mc_int
  [../]
  [./yield_fcn_auxk]
    type = MaterialStdVectorAux
    index = 0
    property = plastic_yield_function
    variable = yield_fcn
  [../]
[]

[Postprocessors]
  [./s_xx]
    type = PointValue
    point = '0 0 0'
    variable = stress_xx
  [../]
  [./s_xy]
    type = PointValue
    point = '0 0 0'
    variable = stress_xy
  [../]
  [./s_xz]
    type = PointValue
    point = '0 0 0'
    variable = stress_xz
  [../]
  [./s_yy]
    type = PointValue
    point = '0 0 0'
    variable = stress_yy
  [../]
  [./s_yz]
    type = PointValue
    point = '0 0 0'
    variable = stress_yz
  [../]
  [./s_zz]
    type = PointValue
    point = '0 0 0'
    variable = stress_zz
  [../]
  [./mc_int]
    type = PointValue
    point = '0 0 0'
    variable = mc_int
  [../]
  [./f]
    type = PointValue
    point = '0 0 0'
    variable = yield_fcn
  [../]
[]

[UserObjects]
  [./mc_coh]
    type = SolidMechanicsHardeningConstant
    value = 10E6
  [../]
  [./mc_phi]
    type = SolidMechanicsHardeningExponential
    value_0 = 0
    value_residual = 0.6981317 # 40deg
    rate = 10000
  [../]
  [./mc_psi]
    type = SolidMechanicsHardeningConstant
    value = 0
  [../]
  [./mc]
    type = SolidMechanicsPlasticMohrCoulomb
    cohesion = mc_coh
    friction_angle = mc_phi
    dilation_angle = mc_psi
    mc_tip_smoother = 0
    mc_edge_smoother = 25
    yield_function_tolerance = 1E-3
    internal_constraint_tolerance = 1E-10
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    block = 0
    fill_method = symmetric_isotropic
    C_ijkl = '5.77E10 3.85E10' # young = 100Gpa, poisson = 0.3
  [../]
  [./strain]
    type = ComputeIncrementalStrain
    block = 0
    displacements = 'disp_x disp_y disp_z'
  [../]
  [./mc]
    type = ComputeMultiPlasticityStress
    block = 0
    ep_plastic_tolerance = 1E-10
    plastic_models = mc
    max_NR_iterations = 1000
    debug_fspb = crash
  [../]
[]

[Preconditioning]
  [./andy]
    type = SMP
    full = true
  [../]
[]


[Executioner]
  end_time = 0.5
  dt = 0.05
  solve_type = NEWTON
  type = Transient

  line_search = 'none'
  nl_rel_tol = 1E-10
  l_tol = 1E-3
  l_max_its = 200
  nl_max_its = 10

  petsc_options_iname = '-pc_type -pc_asm_overlap -sub_pc_type -ksp_type -ksp_gmres_restart'
  petsc_options_value = ' asm      2              lu            gmres     200'
[]



[Outputs]
  file_base = uni_axial1_small_strain
  exodus = true
  [./csv]
    type = CSV
    [../]
[]

(modules/combined/test/tests/elastic_patch/ad_elastic_patch_rspherical.i)

#
# Patch test for 1D spherical elements
#
# The 1D mesh is pinned at x=0.  The displacement at the outer node is set to
#   3e-3*X where X is the x-coordinate of that node.  That gives a strain of
#   3e-3 for the x, y, and z directions.
#
# Young's modulus is 1e6, and Poisson's ratio is 0.25.  This gives:
#
# Stress xx, yy, zz = E/(1+nu)/(1-2nu)*strain*((1-nu) + nu + nu) = 6000
#

[GlobalParams]
  displacements = 'disp_x'
  temperature = temp
[]

[Mesh]
  file = elastic_patch_rspherical.e
  coord_type = RSPHERICAL
[]

[Variables]
  [disp_x]
  []

  [temp]
    initial_condition = 117.56
  []
[]

[Physics/SolidMechanics/QuasiStatic/All]
  strain = SMALL
  incremental = true
  add_variables = true
  generate_output = 'stress_xx stress_yy stress_zz'
[]

[Kernels]
  [heat]
    type = TimeDerivative
    variable = temp
  []
[]

[BCs]
  [ur]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = '1 2'
    function = '3e-3*x'
  []
[]

[Materials]
  [elasticity_tensor]
    type = ComputeIsotropicElasticityTensor
    youngs_modulus = 1e6
    poissons_ratio = 0.25
  []
  [stress]
    type = ComputeStrainIncrementBasedStress
  []
[]

[Materials]
  [density]
    type = ADDensity
    density = 0.283
    outputs = all
  []
[]

[Executioner]
  type = Transient
  solve_type = 'PJFNK'

  end_time = 1.0
[]

[Outputs]
  exodus = true
[]

(modules/combined/test/tests/poro_mechanics/selected_qp.i)

# A sample is unconstrained and its boundaries are
# also impermeable.  Fluid is pumped into the sample via specifying
# the porepressure at all points, and the
# mean stress is monitored at quadpoints in the sample
# This is just to check that the selected_qp in RankTwoScalarAux is working

[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -1
  xmax = 1
  ymin = -1
  ymax = 1
  zmin = -1
  zmax = 1
[]

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
  porepressure = porepressure
  block = 0
[]

[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
  [./porepressure]
  [../]
[]

[BCs]
  [./pbdy]
    type = FunctionDirichletBC
    variable = porepressure
    function = 'x*t'
    boundary = 'left right'
  [../]

[]


[Kernels]
  [./grad_stress_x]
    type = StressDivergenceTensors
    variable = disp_x
    component = 0
  [../]
  [./grad_stress_y]
    type = StressDivergenceTensors
    variable = disp_y
    component = 1
  [../]
  [./grad_stress_z]
    type = StressDivergenceTensors
    variable = disp_z
    component = 2
  [../]
  [./poro_x]
    type = PoroMechanicsCoupling
    variable = disp_x
    component = 0
  [../]
  [./poro_y]
    type = PoroMechanicsCoupling
    variable = disp_y
    component = 1
  [../]
  [./poro_z]
    type = PoroMechanicsCoupling
    variable = disp_z
    component = 2
  [../]
  [./poro_timederiv]
    type = PoroFullSatTimeDerivative
    variable = porepressure
  [../]
[]

[AuxVariables]
  [./mean_stress0]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./mean_stress1]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./mean_stress2]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./mean_stress3]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./mean_stress4]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./mean_stress5]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./mean_stress6]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./mean_stress7]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]

[AuxKernels]
  [./mean_stress0]
    type = RankTwoScalarAux
    rank_two_tensor = stress
    variable = mean_stress0
    scalar_type = Hydrostatic
    selected_qp = 0
  [../]
  [./mean_stress1]
    type = RankTwoScalarAux
    rank_two_tensor = stress
    variable = mean_stress1
    scalar_type = Hydrostatic
    selected_qp = 1
  [../]
  [./mean_stress2]
    type = RankTwoScalarAux
    rank_two_tensor = stress
    variable = mean_stress2
    scalar_type = Hydrostatic
    selected_qp = 2
  [../]
  [./mean_stress3]
    type = RankTwoScalarAux
    rank_two_tensor = stress
    variable = mean_stress3
    scalar_type = Hydrostatic
    selected_qp = 3
  [../]
  [./mean_stress4]
    type = RankTwoScalarAux
    rank_two_tensor = stress
    variable = mean_stress4
    scalar_type = Hydrostatic
    selected_qp = 4
  [../]
  [./mean_stress5]
    type = RankTwoScalarAux
    rank_two_tensor = stress
    variable = mean_stress5
    scalar_type = Hydrostatic
    selected_qp = 5
  [../]
  [./mean_stress6]
    type = RankTwoScalarAux
    rank_two_tensor = stress
    variable = mean_stress6
    scalar_type = Hydrostatic
    selected_qp = 6
  [../]
  [./mean_stress7]
    type = RankTwoScalarAux
    rank_two_tensor = stress
    variable = mean_stress7
    scalar_type = Hydrostatic
    selected_qp = 7
  [../]
[]



[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    C_ijkl = '0.0 1.0'
    fill_method = symmetric_isotropic
  [../]
  [./strain]
    type = ComputeSmallStrain
    displacements = 'disp_x disp_y disp_z'
  [../]
  [./stress]
    type = ComputeLinearElasticStress
  [../]
  [./poro_material]
    type = PoroFullSatMaterial
    porosity0 = 0.1
    biot_coefficient = 1.0
    solid_bulk_compliance = 0.5
    fluid_bulk_compliance = 0.3
    constant_porosity = false
  [../]
[]

[Postprocessors]
  [./mean0]
    type = PointValue
    outputs = csv
    point = '0 0 0'
    variable = mean_stress0
  [../]
  [./mean1]
    type = PointValue
    outputs = csv
    point = '0 0 0'
    variable = mean_stress1
  [../]
  [./mean2]
    type = PointValue
    outputs = csv
    point = '0 0 0'
    variable = mean_stress2
  [../]
  [./mean3]
    type = PointValue
    outputs = csv
    point = '0 0 0'
    variable = mean_stress3
  [../]
  [./mean4]
    type = PointValue
    outputs = csv
    point = '0 0 0'
    variable = mean_stress4
  [../]
  [./mean5]
    type = PointValue
    outputs = csv
    point = '0 0 0'
    variable = mean_stress5
  [../]
  [./mean6]
    type = PointValue
    outputs = csv
    point = '0 0 0'
    variable = mean_stress6
  [../]
  [./mean7]
    type = PointValue
    outputs = csv
    point = '0 0 0'
    variable = mean_stress7
  [../]
[]


[Preconditioning]
  [./andy]
    type = SMP
    full = true
    petsc_options_iname = '-ksp_type -pc_type -sub_pc_type -sub_pc_factor_shift_type -snes_atol -snes_rtol -snes_max_it'
    petsc_options_value = 'gmres asm lu NONZERO 1E-14 1E-10 10000'
  [../]
[]

[Executioner]
  type = Transient
  solve_type = Newton
  start_time = 0
  end_time = 1
  dt = 1
[]

[Outputs]
  execute_on = 'timestep_end'
  exodus = false
  file_base = selected_qp
  [./csv]
    type = CSV
  [../]
[]

(test/tests/time_integrators/rk-2/1d-linear.i)

[Mesh]
  type = GeneratedMesh
  dim = 1
  xmin = -1
  xmax = 1
  nx = 20
  elem_type = EDGE2
[]

[Functions]
  [./ic]
    type = ParsedFunction
    expression = 0
  [../]

  [./forcing_fn]
    type = ParsedFunction
    expression = x
  [../]

  [./exact_fn]
    type = ParsedFunction
    expression = t*x
  [../]
[]

[Variables]
  [./u]
    order = FIRST
    family = LAGRANGE

    [./InitialCondition]
      type = FunctionIC
      function = ic
    [../]
  [../]
[]

[Kernels]
  [./ie]
    type = TimeDerivative
    variable = u
    implicit = true
  [../]

  [./diff]
    type = Diffusion
    variable = u
    implicit = false
  [../]

  [./ffn]
    type = BodyForce
    variable = u
    function = forcing_fn
    implicit = false
  [../]
[]

[BCs]
  [./all]
    type = FunctionDirichletBC
    variable = u
    boundary = '0 1'
    function = exact_fn
  [../]
[]

[Postprocessors]
  [./l2_err]
    type = ElementL2Error
    variable = u
    function = exact_fn
  [../]
[]

[Executioner]
  type = Transient

  [./TimeIntegrator]
    type = ExplicitMidpoint
  [../]
  solve_type = 'LINEAR'

  start_time = 0.0
  num_steps = 10
  dt = 0.001
  l_tol = 1e-15
[]

[Outputs]
  exodus = true
  perf_graph = true
[]

(modules/contact/test/tests/verification/patch_tests/mindlin/cylinder_friction_node_face.i)

[GlobalParams]
  volumetric_locking_correction = true
  displacements = 'disp_x disp_y'
[]

[Mesh]
  [input_file]
    type = FileMeshGenerator
    file = hertz_cyl_coarser.e
  []
[]

[Problem]
  type = ReferenceResidualProblem
  extra_tag_vectors = 'ref'
  reference_vector = 'ref'
[]

[Variables]
  [disp_x]
  []
  [disp_y]
  []
[]

[AuxVariables]
  [stress_xx]
    order = CONSTANT
    family = MONOMIAL
  []
  [stress_yy]
    order = CONSTANT
    family = MONOMIAL
  []
  [stress_xy]
    order = CONSTANT
    family = MONOMIAL
  []
  [react_x]
  []
  [react_y]
  []
  [penetration]
  []
  [inc_slip_x]
  []
  [inc_slip_y]
  []
  [accum_slip_x]
  []
  [accum_slip_y]
  []
[]

[Functions]
  [disp_ramp_vert]
    type = PiecewiseLinear
    x = '0. 1. 3.5'
    y = '0. -0.020 -0.020'
  []
  [disp_ramp_horz]
    type = PiecewiseLinear
    x = '0. 1. 3.5'
    y = '0. 0.0 0.015'
  []
[]

[Kernels]
  [TensorMechanics]
    use_displaced_mesh = true
    extra_vector_tags = 'ref'
    block = '1 2 3 4 5 6 7'
  []
[]

[AuxKernels]
  [stress_xx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xx
    index_i = 0
    index_j = 0
    execute_on = timestep_end
    block = '1 2 3 4 5 6 7'
  []
  [stress_yy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yy
    index_i = 1
    index_j = 1
    execute_on = timestep_end
    block = '1 2 3 4 5 6 7'
  []
  [stress_xy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xy
    index_i = 0
    index_j = 1
    execute_on = timestep_end
    block = '1 2 3 4 5 6 7'
  []
  [incslip_x]
    type = PenetrationAux
    variable = inc_slip_x
    quantity = incremental_slip_x
    boundary = 3
    paired_boundary = 2
  []
  [incslip_y]
    type = PenetrationAux
    variable = inc_slip_y
    quantity = incremental_slip_y
    boundary = 3
    paired_boundary = 2
  []
  [accum_slip_x]
    type = AccumulateAux
    variable = accum_slip_x
    accumulate_from_variable = inc_slip_x
    execute_on = timestep_end
  []
  [accum_slip_y]
    type = AccumulateAux
    variable = accum_slip_y
    accumulate_from_variable = inc_slip_y
    execute_on = timestep_end
  []
  [penetration]
    type = PenetrationAux
    variable = penetration
    boundary = 3
    paired_boundary = 2
  []
  [react_x]
    type = TagVectorAux
    vector_tag = 'ref'
    v = 'disp_x'
    variable = 'react_x'
  []
  [react_y]
    type = TagVectorAux
    vector_tag = 'ref'
    v = 'disp_y'
    variable = 'react_y'
  []
[]

[Postprocessors]
  [bot_react_x]
    type = NodalSum
    variable = react_x
    boundary = 1
  []
  [bot_react_y]
    type = NodalSum
    variable = react_y
    boundary = 1
  []
  [top_react_x]
    type = NodalSum
    variable = react_x
    boundary = 4
  []
  [top_react_y]
    type = NodalSum
    variable = react_y
    boundary = 4
  []
  [penetration]
    type = NodalExtremeValue
    variable = penetration
    value_type = max
    boundary = 3
  []
  [inc_slip_x_max]
    type = NodalExtremeValue
    variable = inc_slip_x
    value_type = max
    boundary = 3
  []
  [inc_slip_x_min]
    type = NodalExtremeValue
    variable = inc_slip_x
    value_type = min
    boundary = 3
  []
  [inc_slip_y_max]
    type = NodalExtremeValue
    variable = inc_slip_y
    value_type = max
    boundary = 3
  []
  [inc_slip_y_min]
    type = NodalExtremeValue
    variable = inc_slip_y
    value_type = min
    boundary = 3
  []
  [accum_slip_x]
    type = NodalExtremeValue
    variable = accum_slip_x
    value_type = max
    boundary = 3
  []
  [accum_slip_y]
    type = NodalExtremeValue
    variable = accum_slip_y
    value_type = max
    boundary = 3
  []
  [_dt]
    type = TimestepSize
  []
[]

[BCs]
  [side_x]
    type = DirichletBC
    variable = disp_y
    boundary = '1 2'
    value = 0.0
  []
  [bot_y]
    type = DirichletBC
    variable = disp_x
    boundary = '1 2'
    value = 0.0
  []
  [top_y_disp]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 4
    function = disp_ramp_vert
  []
  [top_x_disp]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 4
    function = disp_ramp_horz
  []
[]

[Materials]
  [stuff1_elas_tens]
    type = ComputeIsotropicElasticityTensor
    block = '1'
    youngs_modulus = 1e10
    poissons_ratio = 0.0
  []
  [stuff1_strain]
    type = ComputeFiniteStrain
    block = '1'
  []
  [stuff1_stress]
    type = ComputeFiniteStrainElasticStress
    block = '1'
  []
  [stuff2_elas_tens]
    type = ComputeIsotropicElasticityTensor
    block = '2 3 4 5 6 7'
    youngs_modulus = 1e6
    poissons_ratio = 0.3
  []
  [stuff2_strain]
    type = ComputeFiniteStrain
    block = '2 3 4 5 6 7'
  []
  [stuff2_stress]
    type = ComputeFiniteStrainElasticStress
    block = '2 3 4 5 6 7'
  []
[]

[Executioner]
  type = Transient
  solve_type = 'PJFNK'

  petsc_options = '-snes_ksp_ew'
  petsc_options_iname = '-pc_type -pc_factor_mat_solver_type -pc_factor_shift_type '
                        '-pc_factor_shift_amount -mat_mffd_err'
  petsc_options_value = 'lu       superlu_dist                  NONZERO               1e-15          '
                        '         1e-5'

  line_search = 'none'

  nl_abs_tol = 1e-8
  start_time = 0.0
  end_time = 0.3
  l_tol = 1e-4
  dt = 0.1
  dtmin = 0.1
[]

[Preconditioning]
  [SMP]
    type = SMP
    full = true
  []
[]

[VectorPostprocessors]
  [x_disp]
    type = NodalValueSampler
    variable = disp_x
    boundary = '3 4'
    sort_by = id
  []
  [y_disp]
    type = NodalValueSampler
    variable = disp_y
    boundary = '3 4'
    sort_by = id
  []
[]

[Outputs]
  print_linear_residuals = true
  perf_graph = true
  exodus = true
  csv = true
  [console]
    type = Console
    max_rows = 5
  []
  [chkfile]
    type = CSV
    show = 'x_disp y_disp'
    file_base = cylinder_friction_check
    create_final_symlink = true
    execute_on = 'FINAL'
  []
[]

[Contact]
  [leftright]
    primary = 2
    secondary = 3
    model = coulomb
    formulation = penalty
    penalty = 5e9
    normalize_penalty = true
    friction_coefficient = '0.2'
  []
[]

(modules/solid_mechanics/test/tests/crystal_plasticity/twinning/check_direction_twin_propagation.i)

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]

[Mesh]
  [cube]
    type = GeneratedMeshGenerator
    dim = 3
    nx = 3
    ny = 3
    nz = 3
    elem_type = HEX8
  []
[]

[AuxVariables]
  [twin_volume_fraction_0]
   order = CONSTANT
   family = MONOMIAL
  []
  [twin_volume_fraction_1]
   order = CONSTANT
   family = MONOMIAL
  []
  [twin_volume_fraction_2]
   order = CONSTANT
   family = MONOMIAL
  []
  [twin_volume_fraction_3]
   order = CONSTANT
   family = MONOMIAL
  []
  [twin_volume_fraction_4]
   order = CONSTANT
   family = MONOMIAL
  []
  [twin_volume_fraction_5]
   order = CONSTANT
   family = MONOMIAL
  []
  [twin_volume_fraction_6]
   order = CONSTANT
   family = MONOMIAL
  []
  [twin_volume_fraction_7]
   order = CONSTANT
   family = MONOMIAL
  []
  [twin_volume_fraction_8]
   order = CONSTANT
   family = MONOMIAL
  []
  [twin_volume_fraction_9]
   order = CONSTANT
   family = MONOMIAL
  []
  [twin_volume_fraction_10]
   order = CONSTANT
   family = MONOMIAL
  []
  [twin_volume_fraction_11]
   order = CONSTANT
   family = MONOMIAL
  []
  [twin_tau_0]
   order = CONSTANT
   family = MONOMIAL
  []
  [twin_tau_1]
   order = CONSTANT
   family = MONOMIAL
  []
  [twin_tau_2]
   order = CONSTANT
   family = MONOMIAL
  []
  [twin_tau_3]
   order = CONSTANT
   family = MONOMIAL
  []
  [twin_tau_4]
   order = CONSTANT
   family = MONOMIAL
  []
  [twin_tau_5]
   order = CONSTANT
   family = MONOMIAL
  []
  [twin_tau_6]
   order = CONSTANT
   family = MONOMIAL
  []
  [twin_tau_7]
   order = CONSTANT
   family = MONOMIAL
  []
  [twin_tau_8]
   order = CONSTANT
   family = MONOMIAL
  []
  [twin_tau_9]
   order = CONSTANT
   family = MONOMIAL
  []
  [twin_tau_10]
   order = CONSTANT
   family = MONOMIAL
  []
  [twin_tau_11]
   order = CONSTANT
   family = MONOMIAL
  []
[]

[Physics/SolidMechanics/QuasiStatic/all]
  strain = FINITE
  add_variables = true
[]

[AuxKernels]
  [twin_volume_fraction_0]
   type = MaterialStdVectorAux
   variable = twin_volume_fraction_0
   property = twin_system_volume_fraction
   index = 0
   execute_on = timestep_end
  []
  [twin_volume_fraction_1]
   type = MaterialStdVectorAux
   variable = twin_volume_fraction_1
   property = twin_system_volume_fraction
   index = 1
   execute_on = timestep_end
  []
  [twin_volume_fraction_2]
   type = MaterialStdVectorAux
   variable = twin_volume_fraction_2
   property = twin_system_volume_fraction
   index = 2
   execute_on = timestep_end
  []
  [twin_volume_fraction_3]
   type = MaterialStdVectorAux
   variable = twin_volume_fraction_3
   property = twin_system_volume_fraction
   index = 3
   execute_on = timestep_end
  []
  [twin_volume_fraction_4]
   type = MaterialStdVectorAux
   variable = twin_volume_fraction_4
   property = twin_system_volume_fraction
   index = 4
   execute_on = timestep_end
  []
  [twin_volume_fraction_5]
   type = MaterialStdVectorAux
   variable = twin_volume_fraction_5
   property = twin_system_volume_fraction
   index = 5
   execute_on = timestep_end
  []
  [twin_volume_fraction_6]
   type = MaterialStdVectorAux
   variable = twin_volume_fraction_6
   property = twin_system_volume_fraction
   index = 6
   execute_on = timestep_end
  []
  [twin_volume_fraction_7]
   type = MaterialStdVectorAux
   variable = twin_volume_fraction_7
   property = twin_system_volume_fraction
   index = 7
   execute_on = timestep_end
  []
  [twin_volume_fraction_8]
   type = MaterialStdVectorAux
   variable = twin_volume_fraction_8
   property = twin_system_volume_fraction
   index = 8
   execute_on = timestep_end
  []
  [twin_volume_fraction_9]
   type = MaterialStdVectorAux
   variable = twin_volume_fraction_9
   property = twin_system_volume_fraction
   index = 9
   execute_on = timestep_end
  []
  [twin_volume_fraction_10]
   type = MaterialStdVectorAux
   variable = twin_volume_fraction_10
   property = twin_system_volume_fraction
   index = 10
   execute_on = timestep_end
  []
  [twin_volume_fraction_11]
   type = MaterialStdVectorAux
   variable = twin_volume_fraction_11
   property = twin_system_volume_fraction
   index = 11
   execute_on = timestep_end
  []
  [twin_tau_0]
    type = MaterialStdVectorAux
    variable = twin_tau_0
    property = applied_shear_stress
    index = 0
    execute_on = timestep_end
  []
  [twin_tau_1]
    type = MaterialStdVectorAux
    variable = twin_tau_1
    property = applied_shear_stress
    index = 1
    execute_on = timestep_end
  []
  [twin_tau_2]
    type = MaterialStdVectorAux
    variable = twin_tau_2
    property = applied_shear_stress
    index = 2
    execute_on = timestep_end
  []
  [twin_tau_3]
    type = MaterialStdVectorAux
    variable = twin_tau_3
    property = applied_shear_stress
    index = 3
    execute_on = timestep_end
  []
  [twin_tau_4]
    type = MaterialStdVectorAux
    variable = twin_tau_4
    property = applied_shear_stress
    index = 4
    execute_on = timestep_end
  []
  [twin_tau_5]
    type = MaterialStdVectorAux
    variable = twin_tau_5
    property = applied_shear_stress
    index = 5
    execute_on = timestep_end
  []
  [twin_tau_6]
    type = MaterialStdVectorAux
    variable = twin_tau_6
    property = applied_shear_stress
    index = 6
    execute_on = timestep_end
  []
  [twin_tau_7]
    type = MaterialStdVectorAux
    variable = twin_tau_7
    property = applied_shear_stress
    index = 7
    execute_on = timestep_end
  []
  [twin_tau_8]
    type = MaterialStdVectorAux
    variable = twin_tau_8
    property = applied_shear_stress
    index = 8
    execute_on = timestep_end
  []
  [twin_tau_9]
    type = MaterialStdVectorAux
    variable = twin_tau_9
    property = applied_shear_stress
    index = 9
    execute_on = timestep_end
  []
  [twin_tau_10]
    type = MaterialStdVectorAux
    variable = twin_tau_10
    property = applied_shear_stress
    index = 10
    execute_on = timestep_end
  []
  [twin_tau_11]
    type = MaterialStdVectorAux
    variable = twin_tau_11
    property = applied_shear_stress
    index = 11
    execute_on = timestep_end
  []
[]

[BCs]
  [fix_y]
    type = DirichletBC
    variable = disp_y
    preset = true
    boundary = 'bottom'
    value = 0
  []
  [fix_x]
    type = DirichletBC
    variable = disp_x
    boundary = 'left'
    value = 0
  []
  [fix_z]
    type = DirichletBC
    variable = disp_z
    boundary = 'back'
    value = 0
  []
  [tdisp]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = front
    function = '-5.0e-4*t'
  []
[]

[Materials]
  [elasticity_tensor]
    type = ComputeElasticityTensorCP
    C_ijkl = '1.08e5 6.034e4 6.034e4 1.08e5 6.03e4 1.08e5 2.86e4 2.86e4 2.86e4' #Tallon and Wolfenden. J. Phys. Chem. Solids (1979)
    fill_method = symmetric9
    euler_angle_1 = 54.74
    euler_angle_2 = 45.0
    euler_angle_3 = 270.0
  []
  [stress]
    type = ComputeMultipleCrystalPlasticityStress
    crystal_plasticity_models = 'twin_only_xtalpl'
    tan_mod_type = exact
  []
  [twin_only_xtalpl]
    type = CrystalPlasticityTwinningKalidindiUpdate
    number_slip_systems = 12
    slip_sys_file_name = 'fcc_input_twinning_systems.txt'
    initial_twin_lattice_friction = 2.0
  []
[]

[Postprocessors]
  [twin_volume_fraction_0]
    type = ElementAverageValue
    variable = twin_volume_fraction_0
  []
  [twin_volume_fraction_1]
    type = ElementAverageValue
    variable = twin_volume_fraction_1
  []
  [twin_volume_fraction_2]
    type = ElementAverageValue
    variable = twin_volume_fraction_2
  []
  [twin_volume_fraction_3]
    type = ElementAverageValue
    variable = twin_volume_fraction_3
  []
  [twin_volume_fraction_4]
    type = ElementAverageValue
    variable = twin_volume_fraction_4
  []
  [twin_volume_fraction_5]
    type = ElementAverageValue
    variable = twin_volume_fraction_5
  []
  [twin_volume_fraction_6]
    type = ElementAverageValue
    variable = twin_volume_fraction_6
  []
  [twin_volume_fraction_7]
    type = ElementAverageValue
    variable = twin_volume_fraction_7
  []
  [twin_volume_fraction_8]
    type = ElementAverageValue
    variable = twin_volume_fraction_8
  []
  [twin_volume_fraction_9]
    type = ElementAverageValue
    variable = twin_volume_fraction_9
  []
  [twin_volume_fraction_10]
    type = ElementAverageValue
    variable = twin_volume_fraction_10
  []
  [twin_volume_fraction_11]
    type = ElementAverageValue
    variable = twin_volume_fraction_11
  []
  [twin_tau_0]
    type = ElementAverageValue
    variable = twin_tau_0
  []
  [twin_tau_1]
    type = ElementAverageValue
    variable = twin_tau_1
  []
  [twin_tau_2]
    type = ElementAverageValue
    variable = twin_tau_2
  []
  [twin_tau_3]
    type = ElementAverageValue
    variable = twin_tau_3
  []
  [twin_tau_4]
    type = ElementAverageValue
    variable = twin_tau_4
  []
  [twin_tau_5]
    type = ElementAverageValue
    variable = twin_tau_5
  []
  [twin_tau_6]
    type = ElementAverageValue
    variable = twin_tau_6
  []
  [twin_tau_7]
    type = ElementAverageValue
    variable = twin_tau_7
  []
  [twin_tau_8]
    type = ElementAverageValue
    variable = twin_tau_8
  []
  [twin_tau_9]
    type = ElementAverageValue
    variable = twin_tau_9
  []
  [twin_tau_10]
    type = ElementAverageValue
    variable = twin_tau_10
  []
  [twin_tau_11]
    type = ElementAverageValue
    variable = twin_tau_11
  []
[]

[Preconditioning]
  [smp]
    type = SMP
    full = true
  []
[]

[Executioner]
  type = Transient
  solve_type = 'PJFNK'

  petsc_options_iname = '-pc_type -pc_asm_overlap -sub_pc_type -ksp_type -ksp_gmres_restart'
  petsc_options_value = ' asm      2              lu            gmres     200'
  nl_abs_tol = 1e-10
  nl_rel_tol = 1e-10
  nl_abs_step_tol = 1e-10

  dt = 0.025
  dtmin = 0.0125
  num_steps = 9
[]

[Outputs]
  csv = true
  perf_graph = true
[]

(modules/solid_mechanics/test/tests/multi/three_surface03.i)

# Plasticit models:
# SimpleTester0 with a = 0 and b = 1 and strength = 1
# SimpleTester1 with a = 1 and b = 0 and strength = 1
# SimpleTester2 with a = 1 and b = 1 and strength = 1.5
#
# Lame lambda = 0 (Poisson=0).  Lame mu = 0.5E6
#
# A single element is stretched by 0.5E-6m in y direction and 2.0E-6 in z direction.
# trial stress_yy = 0.5 and stress_zz = 2.0
#
# Then SimpleTester0 and SimpleTester2 should activate and the algorithm will return to
# the corner stress_yy=0.5, stress_zz=1
# internal0 should be 1.0, and others zero

[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]


[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
[]

[Kernels]
  [SolidMechanics]
    displacements = 'disp_x disp_y disp_z'
  [../]
[]


[BCs]
  [./x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'front back'
    function = '0E-6*x'
  [../]
  [./y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'front back'
    function = '0.5E-6*y'
  [../]
  [./z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'front back'
    function = '2.0E-6*z'
  [../]
[]

[AuxVariables]
  [./stress_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f0]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f1]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f2]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./int0]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./int1]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./int2]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]

[AuxKernels]
  [./stress_xx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xx
    index_i = 0
    index_j = 0
  [../]
  [./stress_xy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xy
    index_i = 0
    index_j = 1
  [../]
  [./stress_xz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xz
    index_i = 0
    index_j = 2
  [../]
  [./stress_yy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yy
    index_i = 1
    index_j = 1
  [../]
  [./stress_yz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yz
    index_i = 1
    index_j = 2
  [../]
  [./stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zz
    index_i = 2
    index_j = 2
  [../]
  [./f0]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 0
    variable = f0
  [../]
  [./f1]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 1
    variable = f1
  [../]
  [./f2]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 2
    variable = f2
  [../]
  [./int0]
    type = MaterialStdVectorAux
    property = plastic_internal_parameter
    factor = 1E6
    index = 0
    variable = int0
  [../]
  [./int1]
    type = MaterialStdVectorAux
    property = plastic_internal_parameter
    factor = 1E6
    index = 1
    variable = int1
  [../]
  [./int2]
    type = MaterialStdVectorAux
    property = plastic_internal_parameter
    factor = 1E6
    index = 2
    variable = int2
  [../]
[]

[Postprocessors]
  [./s_xx]
    type = PointValue
    point = '0 0 0'
    variable = stress_xx
  [../]
  [./s_xy]
    type = PointValue
    point = '0 0 0'
    variable = stress_xy
  [../]
  [./s_xz]
    type = PointValue
    point = '0 0 0'
    variable = stress_xz
  [../]
  [./s_yy]
    type = PointValue
    point = '0 0 0'
    variable = stress_yy
  [../]
  [./s_yz]
    type = PointValue
    point = '0 0 0'
    variable = stress_yz
  [../]
  [./s_zz]
    type = PointValue
    point = '0 0 0'
    variable = stress_zz
  [../]
  [./f0]
    type = PointValue
    point = '0 0 0'
    variable = f0
  [../]
  [./f1]
    type = PointValue
    point = '0 0 0'
    variable = f1
  [../]
  [./f2]
    type = PointValue
    point = '0 0 0'
    variable = f2
  [../]
  [./int0]
    type = PointValue
    point = '0 0 0'
    variable = int0
  [../]
  [./int1]
    type = PointValue
    point = '0 0 0'
    variable = int1
  [../]
  [./int2]
    type = PointValue
    point = '0 0 0'
    variable = int2
  [../]
[]

[UserObjects]
  [./simple0]
    type = SolidMechanicsPlasticSimpleTester
    a = 0
    b = 1
    strength = 1
    yield_function_tolerance = 1.0E-9
    internal_constraint_tolerance = 1.0E-9
  [../]
  [./simple1]
    type = SolidMechanicsPlasticSimpleTester
    a = 1
    b = 0
    strength = 1
    yield_function_tolerance = 1.0E-9
    internal_constraint_tolerance = 1.0E-9
  [../]
  [./simple2]
    type = SolidMechanicsPlasticSimpleTester
    a = 1
    b = 1
    strength = 1.5
    yield_function_tolerance = 1.0E-9
    internal_constraint_tolerance = 1.0E-9
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    block = 0
    fill_method = symmetric_isotropic
    C_ijkl = '0 0.5E6'
  [../]
  [./strain]
    type = ComputeFiniteStrain
    block = 0
    displacements = 'disp_x disp_y disp_z'
  [../]
  [./multi]
    type = ComputeMultiPlasticityStress
    block = 0
    ep_plastic_tolerance = 1E-9
    plastic_models = 'simple0 simple1 simple2'
    max_NR_iterations = 2
    min_stepsize = 1
    debug_fspb = crash
    debug_jac_at_stress = '10 0 0 0 10 0 0 0 10'
    debug_jac_at_pm = '1 1'
    debug_jac_at_intnl = '1 1'
    debug_stress_change = 1E-5
    debug_pm_change = '1E-6 1E-6'
    debug_intnl_change = '1E-6 1E-6'
  [../]
[]


[Executioner]
  end_time = 1
  dt = 1
  type = Transient
[]


[Outputs]
  file_base = three_surface03
  exodus = false
  [./csv]
    type = CSV
    [../]
[]

(modules/solid_mechanics/test/tests/umat/elastic_hardening/linear_strain_hardening.i)

# Testing the UMAT Interface - creep linear strain hardening model using the finite strain formulation - visco-plastic material.

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]

[Mesh]
  [gen]
    type = GeneratedMeshGenerator
    dim = 3
    xmin = -0.5
    xmax = 0.5
    ymin = -0.5
    ymax = 0.5
    zmin = -0.5
    zmax = 0.5
  []
[]

[Functions]
  [top_pull]
    type = ParsedFunction
    expression = t/100
  []
[]

[Physics/SolidMechanics/QuasiStatic]
  [all]
    add_variables = true
    strain = FINITE
  []
[]

[BCs]
  [y_pull_function]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = top
    function = top_pull
  []
  [x_bot]
    type = DirichletBC
    variable = disp_x
    boundary = left
    value = 0.0
  []
  [y_bot]
    type = DirichletBC
    variable = disp_y
    boundary = bottom
    value = 0.0
  []
  [z_bot]
    type = DirichletBC
    variable = disp_z
    boundary = front
    value = 0.0
  []
[]

[Materials]
  [constant]
    type = AbaqusUMATStress
    #                      Young's modulus,  Poisson's Ratio, Yield, Hardening
    constant_properties = '1000 0.3 10 100'
    plugin = ../../../plugins/linear_strain_hardening
    num_state_vars = 3
    use_one_based_indexing = true
  []
[]

[Executioner]
  type = Transient
  solve_type = 'PJFNK'

  petsc_options = '-snes_ksp_ew'
  petsc_options_iname = '-ksp_gmres_restart'
  petsc_options_value = '101'

  line_search = 'none'

  l_max_its = 100
  nl_max_its = 100
  nl_rel_tol = 1e-12
  nl_abs_tol = 1e-10
  l_tol = 1e-9
  start_time = 0.0
  num_steps = 30
  dt = 1.0
[]

[Preconditioning]
  [smp]
    type = SMP
    full = true
  []
[]

[Outputs]
  [out]
    type = Exodus
    elemental_as_nodal = true
  []
[]

(test/tests/postprocessors/nodal_var_value/pps_output_test.i)

[Mesh]
  file = square-2x2-nodeids.e
  # This test can only be run with renumering disabled, so the
  # NodalVariableValue postprocessor's node id is well-defined.
  allow_renumbering = false
[]

[Variables]
  active = 'u v'

  [./u]
    order = SECOND
    family = LAGRANGE
  [../]

  [./v]
    order = SECOND
    family = LAGRANGE
  [../]
[]

[Functions]
  active = 'force_fn exact_fn left_bc'

  [./force_fn]
    type = ParsedFunction
    expression = '1-x*x+2*t'
  [../]

  [./exact_fn]
    type = ParsedFunction
    expression = '(1-x*x)*t'
  [../]

  [./left_bc]
    type = ParsedFunction
    expression = t
  [../]
[]

[Kernels]
  active = '
    time_u diff_u ffn_u
    time_v diff_v'

  [./time_u]
    type = TimeDerivative
    variable = u
  [../]

  [./diff_u]
    type = Diffusion
    variable = u
  [../]

  [./ffn_u]
    type = BodyForce
    variable = u
    function = force_fn
  [../]

  [./time_v]
    type = TimeDerivative
    variable = v
  [../]

  [./diff_v]
    type = Diffusion
    variable = v
  [../]
[]

[BCs]
  active = 'all_u left_v right_v'

  [./all_u]
    type = FunctionDirichletBC
    variable = u
    boundary = '1'
    function = exact_fn
  [../]

  [./left_v]
    type = FunctionDirichletBC
    variable = v
    boundary = '3'
    function = left_bc
  [../]

  [./right_v]
    type = DirichletBC
    variable = v
    boundary = '2'
    value = 0
  [../]
[]

[Postprocessors]
  [./l2]
    type = ElementL2Error
    variable = u
    function = exact_fn
  [../]

  [./node1]
    type = NodalVariableValue
    variable = u
    nodeid = 15
    outputs = exodus
  [../]

  [./node4]
    type = NodalVariableValue
    variable = v
    nodeid = 10
    outputs = console
  [../]

  [./avg_v]
    type = AverageElementSize
    outputs = none
  [../]
[]

[Executioner]
  type = Transient

  solve_type = 'PJFNK'

  dt = 0.1
  start_time = 0
  end_time = 1
[]

[Outputs]
  execute_on = 'timestep_end'
  exodus = true
[]

(modules/solid_mechanics/test/tests/multi/three_surface16.i)

# Plasticit models:
# SimpleTester0 with a = 0 and b = 1 and strength = 1
# SimpleTester1 with a = 1 and b = 0 and strength = 1
# SimpleTester2 with a = 1 and b = 1 and strength = 3
#
# Lame lambda = 0 (Poisson=0).  Lame mu = 0.5E6
#
# A single element is stretched by 3.0E-6m in y direction and 2.1E-6 in z direction.
# trial stress_yy = 3.0 and stress_zz = 2.1
#
# A complicated return will follow, with various contraints being
# deactivated, kuhn-tucker failing, line-searching, etc, but
# the result should be
# stress_yy=1=stress_zz, and internal0=1.1 internal1=2

[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]


[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
[]

[Kernels]
  [SolidMechanics]
    displacements = 'disp_x disp_y disp_z'
  [../]
[]


[BCs]
  [./x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'front back'
    function = '0E-6*x'
  [../]
  [./y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'front back'
    function = '3.0E-6*y'
  [../]
  [./z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'front back'
    function = '2.1E-6*z'
  [../]
[]

[AuxVariables]
  [./stress_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f0]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f1]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f2]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./int0]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./int1]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./int2]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]

[AuxKernels]
  [./stress_xx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xx
    index_i = 0
    index_j = 0
  [../]
  [./stress_xy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xy
    index_i = 0
    index_j = 1
  [../]
  [./stress_xz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xz
    index_i = 0
    index_j = 2
  [../]
  [./stress_yy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yy
    index_i = 1
    index_j = 1
  [../]
  [./stress_yz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yz
    index_i = 1
    index_j = 2
  [../]
  [./stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zz
    index_i = 2
    index_j = 2
  [../]
  [./f0]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 0
    variable = f0
  [../]
  [./f1]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 1
    variable = f1
  [../]
  [./f2]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 2
    variable = f2
  [../]
  [./int0]
    type = MaterialStdVectorAux
    property = plastic_internal_parameter
    factor = 1E6
    index = 0
    variable = int0
  [../]
  [./int1]
    type = MaterialStdVectorAux
    property = plastic_internal_parameter
    factor = 1E6
    index = 1
    variable = int1
  [../]
  [./int2]
    type = MaterialStdVectorAux
    property = plastic_internal_parameter
    factor = 1E6
    index = 2
    variable = int2
  [../]
[]

[Postprocessors]
  [./s_xx]
    type = PointValue
    point = '0 0 0'
    variable = stress_xx
  [../]
  [./s_xy]
    type = PointValue
    point = '0 0 0'
    variable = stress_xy
  [../]
  [./s_xz]
    type = PointValue
    point = '0 0 0'
    variable = stress_xz
  [../]
  [./s_yy]
    type = PointValue
    point = '0 0 0'
    variable = stress_yy
  [../]
  [./s_yz]
    type = PointValue
    point = '0 0 0'
    variable = stress_yz
  [../]
  [./s_zz]
    type = PointValue
    point = '0 0 0'
    variable = stress_zz
  [../]
  [./f0]
    type = PointValue
    point = '0 0 0'
    variable = f0
  [../]
  [./f1]
    type = PointValue
    point = '0 0 0'
    variable = f1
  [../]
  [./f2]
    type = PointValue
    point = '0 0 0'
    variable = f2
  [../]
  [./int0]
    type = PointValue
    point = '0 0 0'
    variable = int0
  [../]
  [./int1]
    type = PointValue
    point = '0 0 0'
    variable = int1
  [../]
  [./int2]
    type = PointValue
    point = '0 0 0'
    variable = int2
  [../]
[]

[UserObjects]
  [./simple0]
    type = SolidMechanicsPlasticSimpleTester
    a = 0
    b = 1
    strength = 1
    yield_function_tolerance = 1.0E-6
    internal_constraint_tolerance = 1.0E-6
  [../]
  [./simple1]
    type = SolidMechanicsPlasticSimpleTester
    a = 1
    b = 0
    strength = 1
    yield_function_tolerance = 1.0E-6
    internal_constraint_tolerance = 1.0E-6
  [../]
  [./simple2]
    type = SolidMechanicsPlasticSimpleTester
    a = 1
    b = 1
    strength = 3
    yield_function_tolerance = 1.0E-6
    internal_constraint_tolerance = 1.0E-6
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    block = 0
    fill_method = symmetric_isotropic
    C_ijkl = '0 0.5E6'
  [../]
  [./strain]
    type = ComputeFiniteStrain
    block = 0
    displacements = 'disp_x disp_y disp_z'
  [../]
  [./multi]
    type = ComputeMultiPlasticityStress
    block = 0
    ep_plastic_tolerance = 1E-9
    plastic_models = 'simple0 simple1 simple2'
    max_NR_iterations = 4
    min_stepsize = 1
    debug_fspb = crash
    debug_jac_at_stress = '10 0 0 0 10 0 0 0 10'
    debug_jac_at_pm = '1 1 1'
    debug_jac_at_intnl = '1 1 1'
    debug_stress_change = 1E-5
    debug_pm_change = '1E-6 1E-6 1E-6'
    debug_intnl_change = '1E-6 1E-6 1E-6'
  [../]
[]


[Executioner]
  end_time = 1
  dt = 1
  type = Transient
[]


[Outputs]
  file_base = three_surface16
  exodus = false
  [./csv]
    type = CSV
    [../]
[]

(modules/combined/test/tests/cavity_pressure/negative_volume.i)

#
# Cavity Pressure Test
#
# This test is designed to compute a negative number of moles
# to trigger an error check in the CavityPressureUserObject.
# The negative number of moles is achieved by supplying an
# open volume to the InternalVolume postprocessor, which
# calculates a negative volume.

[Problem]
  coord_type = RZ
[]

[GlobalParams]
  displacements = 'disp_r disp_z'
[]

[Mesh]
  type = GeneratedMesh
  dim = 2
  nx = 1
  ny = 2
[]

[Functions]
  [temperature]
    type = PiecewiseLinear
    x = '0 1'
    y = '1 2'
    scale_factor = 100
  []
[]

[Variables]
  [temperature]
    initial_condition = 100
  []
[]

[Physics/SolidMechanics/QuasiStatic]
  [block]
    strain = FINITE
    add_variables = true
  []
[]

[Kernels]
  [heat]
    type = Diffusion
    variable = temperature
    use_displaced_mesh = true
  []
[]

[BCs]
  [no_x]
    type = DirichletBC
    variable = disp_r
    boundary = left
    value = 0.0
  []
  [no_y]
    type = DirichletBC
    variable = disp_z
    boundary = bottom
    value = 0.0
  []
  [temperatureInterior]
    type = FunctionDirichletBC
    boundary = 2
    function = temperature
    variable = temperature
  []
  [CavityPressure]
    [pressure]
      boundary = 'top bottom right'
      initial_pressure = 10e5
      R = 8.3143
      output_initial_moles = initial_moles
      temperature = aveTempInterior
      volume = internalVolume
      startup_time = 0.5
      output = ppress
    []
  []
[]

[Materials]
  [elastic_tensor]
    type = ComputeIsotropicElasticityTensor
    youngs_modulus = 1e6
    poissons_ratio = 0.3
  []
  [stress1]
    type = ComputeFiniteStrainElasticStress
  []
[]

[Executioner]
  type = Transient

  petsc_options_iname = '-pc_type -sub_pc_type'
  petsc_options_value = 'asm       lu'

  nl_abs_tol = 1e-10
  l_max_its = 20
  dt = 0.5
  end_time = 1.0
  use_pre_SMO_residual = true
[]

[Postprocessors]
  [internalVolume]
    type = InternalVolume
    boundary = 'top bottom right'
    execute_on = 'initial linear'
  []
  [aveTempInterior]
    type = AxisymmetricCenterlineAverageValue
    boundary = left
    variable = temperature
    execute_on = 'initial linear'
  []
[]

[Outputs]
  exodus = false
[]

(test/tests/geomsearch/3d_moving_penetration_smoothing/pl_test3nstt.i)

[GlobalParams]
  order = FIRST
  family = LAGRANGE
[]

[Mesh]
  file = pl_test3tt.e
  displacements = 'disp_x disp_y disp_z'
[]

[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
[]

[AuxVariables]
  [./distance]
  [../]
  [./tangential_distance]
  [../]
  [./normal_x]
  [../]
  [./normal_y]
  [../]
  [./normal_z]
  [../]
  [./closest_point_x]
  [../]
  [./closest_point_y]
  [../]
  [./closest_point_z]
  [../]
#  [./element_id]
#  [../]
  [./side]
  [../]
[]

[Kernels]
  [./diff_x]
    type = Diffusion
    variable = disp_x
  [../]
  [./diff_y]
    type = Diffusion
    variable = disp_y
  [../]
  [./diff_z]
    type = Diffusion
    variable = disp_z
  [../]
[]

[AuxKernels]
  [./penetrate]
    type = PenetrationAux
    variable = distance
    boundary = 11            #secondary
    paired_boundary = 12     #primary
    tangential_tolerance = 0.09
    normal_smoothing_distance = 0.2
  [../]

  [./penetrate2]
    type = PenetrationAux
    variable = distance
    boundary = 12            #secondary
    paired_boundary = 11     #primary
    tangential_tolerance = 0.09
    normal_smoothing_distance = 0.2
  [../]

  [./penetrate3]
    type = PenetrationAux
    variable = tangential_distance
    boundary = 11
    paired_boundary = 12
    quantity = tangential_distance
  [../]

  [./penetrate4]
    type = PenetrationAux
    variable = tangential_distance
    boundary = 12
    paired_boundary = 11
    quantity = tangential_distance
  [../]

  [./penetrate5]
    type = PenetrationAux
    variable = normal_x
    boundary = 11
    paired_boundary = 12
    quantity = normal_x
  [../]

  [./penetrate6]
    type = PenetrationAux
    variable = normal_x
    boundary = 12
    paired_boundary = 11
    quantity = normal_x
  [../]

  [./penetrate7]
    type = PenetrationAux
    variable = normal_y
    boundary = 11
    paired_boundary = 12
    quantity = normal_y
  [../]

  [./penetrate8]
    type = PenetrationAux
    variable = normal_y
    boundary = 12
    paired_boundary = 11
    quantity = normal_y
  [../]

  [./penetrate9]
    type = PenetrationAux
    variable = normal_z
    boundary = 11
    paired_boundary = 12
    quantity = normal_z
  [../]

  [./penetrate10]
    type = PenetrationAux
    variable = normal_z
    boundary = 12
    paired_boundary = 11
    quantity = normal_z
  [../]

  [./penetrate11]
    type = PenetrationAux
    variable = closest_point_x
    boundary = 11
    paired_boundary = 12
    quantity = closest_point_x
  [../]

  [./penetrate12]
    type = PenetrationAux
    variable = closest_point_x
    boundary = 12
    paired_boundary = 11
    quantity = closest_point_x
  [../]

  [./penetrate13]
    type = PenetrationAux
    variable = closest_point_y
    boundary = 11
    paired_boundary = 12
    quantity = closest_point_y
  [../]

  [./penetrate14]
    type = PenetrationAux
    variable = closest_point_y
    boundary = 12
    paired_boundary = 11
    quantity = closest_point_y
  [../]

  [./penetrate15]
    type = PenetrationAux
    variable = closest_point_z
    boundary = 11
    paired_boundary = 12
    quantity = closest_point_z
  [../]

  [./penetrate16]
    type = PenetrationAux
    variable = closest_point_z
    boundary = 12
    paired_boundary = 11
    quantity = closest_point_z
  [../]

#  [./penetrate17]
#    type = PenetrationAux
#    variable = element_id
#    boundary = 11
#    paired_boundary = 12
#    quantity = element_id
#  [../]
#
#  [./penetrate18]
#    type = PenetrationAux
#    variable = element_id
#    boundary = 12
#    paired_boundary = 11
#    quantity = element_id
#  [../]

  [./penetrate19]
    type = PenetrationAux
    variable = side
    boundary = 11
    paired_boundary = 12
    quantity = side
  [../]

  [./penetrate20]
    type = PenetrationAux
    variable = side
    boundary = 12
    paired_boundary = 11
    quantity = side
  [../]
[]

[BCs]
  [./b1x]
    type = DirichletBC
    variable = disp_x
    preset = false
    boundary = 1
    value = 0
  [../]

  [./b1y]
    type = DirichletBC
    variable = disp_y
    preset = false
    boundary = 1
    value = 0
  [../]

  [./b1z]
    type = DirichletBC
    variable = disp_z
    preset = false
    boundary = 1
    value = 0
  [../]

  [./b2x]
    type = DirichletBC
    variable = disp_x
    preset = false
    boundary = 2
    value = 0
  [../]

  [./b2y]
    type = FunctionDirichletBC
    variable = disp_y
    preset = false
    boundary = 2
    function = disp_y
  [../]

  [./b2z]
    type = DirichletBC
    variable = disp_z
    preset = false
    boundary = 2
    value = 0
  [../]
[]

[Functions]
  [./disp_y]
    type = PiecewiseLinear
    x = '0.0 0.25 0.75 1.0'
    y = '0.0 2.0 -2.0  0.0'
  [../]
[]

[Executioner]
  type = Transient

  solve_type = 'PJFNK'
  petsc_options = '-snes_ksp_ew'

  nl_rel_tol = 1e-9
  l_max_its = 10

  start_time = 0.0
  dt = 0.02
  end_time = 1.0
[]

[Outputs]
  file_base = pl_test3nstt_out
  exodus = true
[]

(modules/solid_mechanics/test/tests/lagrangian/cartesian/total/action/no_action_1D.i)

# Simple 1D plane strain test

[GlobalParams]
  displacements = 'disp_x'
  large_kinematics = true
[]

[Variables]
  [disp_x]
  []
[]

[Mesh]
  [msh]
    type = GeneratedMeshGenerator
    dim = 1
    nx = 10
  []
[]

[Kernels]
  [sdx]
    type = TotalLagrangianStressDivergence
    variable = disp_x
    component = 0
  []
[]

[Functions]
  [pull]
    type = ParsedFunction
    expression = '0.06 * t'
  []
[]

[BCs]
  [leftx]
    type = DirichletBC
    preset = true
    boundary = right
    variable = disp_x
    value = 0.0
  []
  [pull]
    type = FunctionDirichletBC
    boundary = left
    variable = disp_x
    function = pull
    preset = true
  []
[]

[Materials]
  [elastic_tensor]
    type = ComputeIsotropicElasticityTensor
    youngs_modulus = 100000.0
    poissons_ratio = 0.3
  []
  [stress_base]
    type = ComputeLagrangianLinearElasticStress
  []
  [compute_strain]
    type = ComputeLagrangianStrain
  []
[]

[Preconditioning]
  [smp]
    type = SMP
    full = true
  []
[]

[Executioner]
  type = Transient

  solve_type = 'newton'
  line_search = none

  petsc_options_iname = '-pc_type'
  petsc_options_value = 'lu'

  l_max_its = 2
  l_tol = 1e-14
  nl_max_its = 15
  nl_rel_tol = 1e-8
  nl_abs_tol = 1e-10

  start_time = 0.0
  dt = 1.0
  dtmin = 1.0
  end_time = 5.0
[]

[Outputs]
  exodus = true
[]

(modules/solid_mechanics/test/tests/crystal_plasticity/hcp_single_crystal/update_method_hcp_representative_slip_systems.i)

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]

[Mesh]
  type = GeneratedMesh
  dim = 3
  elem_type = HEX8
[]

[AuxVariables]
  [temperature]
    initial_condition = 300
  []
  [pk2]
    order = CONSTANT
    family = MONOMIAL
  []
  [fp_zz]
    order = CONSTANT
    family = MONOMIAL
  []
  [e_zz]
    order = CONSTANT
    family = MONOMIAL
  []
  [resolved_shear_stress_0]
    order = CONSTANT
    family = MONOMIAL
  []
  [resolved_shear_stress_1]
    order = CONSTANT
    family = MONOMIAL
  []
  [resolved_shear_stress_2]
    order = CONSTANT
    family = MONOMIAL
  []
  [resolved_shear_stress_3]
    order = CONSTANT
    family = MONOMIAL
  []
  [resolved_shear_stress_4]
    order = CONSTANT
    family = MONOMIAL
  []
[]

[Physics/SolidMechanics/QuasiStatic/all]
  strain = FINITE
  incremental = true
  add_variables = true
  generate_output = stress_zz
[]

[AuxKernels]
  [pk2]
    type = RankTwoAux
    variable = pk2
    rank_two_tensor = second_piola_kirchhoff_stress
    index_j = 2
    index_i = 2
    execute_on = timestep_end
  []
  [fp_zz]
    type = RankTwoAux
    variable = fp_zz
    rank_two_tensor = plastic_deformation_gradient
    index_j = 2
    index_i = 2
    execute_on = timestep_end
  []
  [e_zz]
    type = RankTwoAux
    variable = e_zz
    rank_two_tensor = total_lagrangian_strain
    index_j = 2
    index_i = 2
    execute_on = timestep_end
  []
  [tau_0]
    type = MaterialStdVectorAux
    variable = resolved_shear_stress_0
    property = applied_shear_stress
    index = 0
    execute_on = timestep_end
  []
  [tau_1]
    type = MaterialStdVectorAux
    variable = resolved_shear_stress_1
    property = applied_shear_stress
    index = 1
    execute_on = timestep_end
  []
  [tau_2]
    type = MaterialStdVectorAux
    variable = resolved_shear_stress_2
    property = applied_shear_stress
    index = 2
    execute_on = timestep_end
  []
  [tau_3]
    type = MaterialStdVectorAux
    variable = resolved_shear_stress_3
    property = applied_shear_stress
    index = 3
    execute_on = timestep_end
  []
  [tau_4]
    type = MaterialStdVectorAux
    variable = resolved_shear_stress_4
    property = applied_shear_stress
    index = 4
    execute_on = timestep_end
  []
[]

[BCs]
  [symmy]
    type = DirichletBC
    variable = disp_y
    boundary = bottom
    value = 0
  []
  [symmx]
    type = DirichletBC
    variable = disp_x
    boundary = left
    value = 0
  []
  [symmz]
    type = DirichletBC
    variable = disp_z
    boundary = back
    value = 0
  []
  [tdisp]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = front
    function = '0.1*t'
  []
[]

[Materials]
  [elasticity_tensor]
    type = ComputeElasticityTensorCP
    C_ijkl = '1.622e5 9.18e4 6.88e4 1.622e5 6.88e4 1.805e5 4.67e4 4.67e4 4.67e4' #alpha Ti, Alankar et al. Acta Materialia 59 (2011) 7003-7009
    fill_method = symmetric9
    euler_angle_1 = 45
    euler_angle_2 = 60
    euler_angle_3 = 30
  []
  [stress]
    type = ComputeMultipleCrystalPlasticityStress
    crystal_plasticity_models = 'trial_xtalpl'
    tan_mod_type = exact
  []
  [trial_xtalpl]
    type = CrystalPlasticityHCPDislocationSlipBeyerleinUpdate
    number_slip_systems = 5
    slip_sys_file_name = select_input_slip_sys_hcp.txt
    unit_cell_dimension = '2.934e-7 2.934e-7 4.657e-7' #Ti, in mm, https://materialsproject.org/materials/mp-46/
    temperature = temperature
    initial_forest_dislocation_density = 15.0e5
    initial_substructure_density = 1.0e3
    slip_system_modes = 4
    number_slip_systems_per_mode = '1 1 2 1'
    lattice_friction_per_mode = '10 10 15 30'
    effective_shear_modulus_per_mode = '47e3 47e3 47e3 47e3'
    burgers_vector_per_mode = '2.934e-7 2.934e-7 2.934e-7 6.586e-7' #Ti, in mm, https://materialsproject.org/materials/mp-46/
    slip_generation_coefficient_per_mode = '2e7 1e5 2e7 2e7'
    normalized_slip_activiation_energy_per_mode = '3e-2 4e-3 3e-2 3e-2'
    slip_energy_proportionality_factor_per_mode = '100 330 100 100'
    substructure_rate_coefficient_per_mode = '100 400 1 1'
    applied_strain_rate = 0.001
    gamma_o = 1.0e-3
    strain_rate_sensitivity_exponent = 0.05
    Hall_Petch_like_constant_per_mode = '10 10 10 10'
    grain_size = 20.0e-3 #20 microns,
  []
[]

[Postprocessors]
  [stress_zz]
    type = ElementAverageValue
    variable = stress_zz
  []
  [pk2]
    type = ElementAverageValue
    variable = pk2
  []
  [fp_zz]
    type = ElementAverageValue
    variable = fp_zz
  []
  [e_zz]
    type = ElementAverageValue
    variable = e_zz
  []
  [tau_0]
    type = ElementAverageValue
    variable = resolved_shear_stress_0
  []
  [tau_1]
    type = ElementAverageValue
    variable = resolved_shear_stress_1
  []
  [tau_2]
    type = ElementAverageValue
    variable = resolved_shear_stress_2
  []
  [tau_3]
    type = ElementAverageValue
    variable = resolved_shear_stress_3
  []
  [tau_4]
    type = ElementAverageValue
    variable = resolved_shear_stress_4
  []
[]

[Preconditioning]
  [smp]
    type = SMP
    full = true
  []
[]

[Executioner]
  type = Transient
  solve_type = 'PJFNK'

  petsc_options_iname = '-pc_type -pc_asm_overlap -sub_pc_type -ksp_type -ksp_gmres_restart'
  petsc_options_value = ' asm      2              lu            gmres     200'
  nl_abs_tol = 1e-10
  nl_rel_tol = 1e-10
  nl_abs_step_tol = 1e-10

  dt = 0.05
  dtmin = 0.01
  dtmax = 0.1
  end_time = 0.4
[]

[Outputs]
  csv = true
[]

(modules/solid_mechanics/test/tests/dynamics/wave_1D/wave_rayleigh_hht_AD.i)

# Wave propogation in 1D using HHT time integration in the presence of Rayleigh damping
#
# The test is for an 1D bar element of length 4m  fixed on one end
# with a sinusoidal pulse dirichlet boundary condition applied to the other end.
# alpha, beta and gamma are HHT  time integration parameters
# eta and zeta are mass dependent and stiffness dependent Rayleigh damping
# coefficients, respectively.
# The equation of motion in terms of matrices is:
#
# M*accel + (eta*M+zeta*K)*((1+alpha)*vel-alpha*vel_old)
# +(1+alpha)*K*disp-alpha*K*disp_old = 0
#
# Here M is the mass matrix, K is the stiffness matrix
#
# The displacement at the first, second, third and fourth node at t = 0.1 are
# -7.787499960311491942e-02, 1.955566679096475483e-02 and -4.634888180231294501e-03, respectively.

[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 4
  nz = 1
  xmin = 0.0
  xmax = 0.1
  ymin = 0.0
  ymax = 4.0
  zmin = 0.0
  zmax = 0.1
[]


[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
[]

[AuxVariables]
  [./vel_x]
  [../]
  [./accel_x]
  [../]
  [./vel_y]
  [../]
  [./accel_y]
  [../]
  [./vel_z]
  [../]
  [./accel_z]
  [../]
[]

[Kernels]
  [./DynamicSolidMechanics]
    displacements = 'disp_x disp_y disp_z'
    hht_alpha = -0.3
    stiffness_damping_coefficient = 0.1
    use_automatic_differentiation = true
  [../]
  [./inertia_x]
    type = InertialForce
    variable = disp_x
    velocity = vel_x
    acceleration = accel_x
    beta = 0.422
    gamma = 0.8
    eta=0.1
    alpha = -0.3
  [../]
  [./inertia_y]
    type = InertialForce
    variable = disp_y
    velocity = vel_y
    acceleration = accel_y
    beta = 0.422
    gamma = 0.8
    eta=0.1
    alpha = -0.3
  [../]
  [./inertia_z]
    type = InertialForce
    variable = disp_z
    velocity = vel_z
    acceleration = accel_z
    beta = 0.422
    gamma = 0.8
    eta = 0.1
    alpha = -0.3
  [../]

[]

[AuxKernels]
  [./accel_x]
    type = NewmarkAccelAux
    variable = accel_x
    displacement = disp_x
    velocity = vel_x
    beta = 0.422
    execute_on = timestep_end
  [../]
  [./vel_x]
    type = NewmarkVelAux
    variable = vel_x
    acceleration = accel_x
    gamma = 0.8
    execute_on = timestep_end
  [../]
  [./accel_y]
    type = NewmarkAccelAux
    variable = accel_y
    displacement = disp_y
    velocity = vel_y
    beta = 0.422
    execute_on = timestep_end
  [../]
  [./vel_y]
    type = NewmarkVelAux
    variable = vel_y
    acceleration = accel_y
    gamma = 0.8
    execute_on = timestep_end
  [../]
  [./accel_z]
    type = NewmarkAccelAux
    variable = accel_z
    displacement = disp_z
    velocity = vel_z
    beta = 0.422
    execute_on = timestep_end
  [../]
  [./vel_z]
    type = NewmarkVelAux
    variable = vel_z
    acceleration = accel_z
    gamma = 0.8
    execute_on = timestep_end
  [../]
[]


[BCs]
  [./top_y]
    type = DirichletBC
    variable = disp_y
    boundary = top
    value=0.0
  [../]
  [./top_x]
   type = DirichletBC
    variable = disp_x
    boundary = top
    value=0.0
  [../]
  [./top_z]
    type = DirichletBC
    variable = disp_z
    boundary = top
    value=0.0
  [../]
  [./right_x]
    type = DirichletBC
    variable = disp_x
    boundary = right
    value=0.0
  [../]
  [./right_z]
    type = DirichletBC
    variable = disp_z
    boundary = right
    value=0.0
  [../]
  [./left_x]
    type = DirichletBC
    variable = disp_x
    boundary = left
    value=0.0
  [../]
  [./left_z]
    type = DirichletBC
    variable = disp_z
    boundary = left
    value=0.0
  [../]
  [./front_x]
    type = DirichletBC
    variable = disp_x
    boundary = front
    value=0.0
  [../]
  [./front_z]
    type = DirichletBC
    variable = disp_z
    boundary = front
    value=0.0
  [../]
  [./back_x]
    type = DirichletBC
    variable = disp_x
    boundary = back
    value=0.0
  [../]
  [./back_z]
    type = DirichletBC
    variable = disp_z
    boundary = back
    value=0.0
  [../]
  [./bottom_x]
    type = DirichletBC
    variable = disp_x
    boundary = bottom
    value=0.0
  [../]
  [./bottom_z]
    type = DirichletBC
    variable = disp_z
    boundary = bottom
    value=0.0
  [../]
  [./bottom_y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = bottom
    function = displacement_bc
  [../]
[]

[Materials]
  [./Elasticity_tensor]
    type = ADComputeElasticityTensor
    block = 0
    fill_method = symmetric_isotropic
    C_ijkl = '1 0'
  [../]

  [./strain]
    type = ADComputeSmallStrain
    block = 0
    displacements = 'disp_x disp_y disp_z'
  [../]

  [./stress]
    type = ADComputeLinearElasticStress
    block = 0
  [../]

  [./density]
    type = GenericConstantMaterial
    block = 0
    prop_names = 'density'
    prop_values = '1'
  [../]

[]

[Preconditioning]
  [./SMP]
    type = SMP
    full = true
  [../]
[]

[Executioner]
  type = Transient
  solve_type = 'NEWTON'
  start_time = 0
  end_time = 6.0
  l_tol = 1e-12
  nl_rel_tol = 1e-12
  dt = 0.1
[]


[Functions]
  [./displacement_bc]
    type = PiecewiseLinear
    data_file = 'sine_wave.csv'
    format = columns
  [../]

[]

[Postprocessors]
  [./_dt]
    type = TimestepSize
  [../]
  [./disp_1]
    type = NodalVariableValue
    nodeid = 1
    variable = disp_y
  [../]
  [./disp_2]
    type = NodalVariableValue
    nodeid = 3
    variable = disp_y
  [../]
  [./disp_3]
    type = NodalVariableValue
    nodeid = 10
    variable = disp_y
  [../]
  [./disp_4]
    type = NodalVariableValue
    nodeid = 14
    variable = disp_y
  [../]
[]

[Outputs]
  file_base = 'wave_rayleigh_hht_out'
  exodus = true
  perf_graph = true
[]

(modules/solid_mechanics/test/tests/cohesive_zone_model/ad_czm.i)

[Mesh]
  [msh]
    type = FileMeshGenerator
    file = patch_mesh.e
  []
  [split]
    type = BreakMeshByBlockGenerator
    input = msh
  []
  [add_surfaces]
    type = SideSetsFromNormalsGenerator
    input = split
    normals = '0  0  1
               0  1  0
               1  0  0
               0  0 -1
               0 -1  0
              -1  0  0'
    fixed_normal = true
    new_boundary = 'z1 y1 x1 z0 y0 x0'
  []
[]

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
  large_kinematics = true
[]

[Physics]
  [SolidMechanics]
    [QuasiStatic]
      [all]
        strain = FINITE
        add_variables = true
        new_system = true
      []
    []
    [CohesiveZone]
      [interface]
        boundary = 'interface'
        strain = SMALL
        use_automatic_differentiation = true
      []
    []
  []
[]

[Functions]
  [stretch]
    type = PiecewiseLinear
    x = '0 0.05'
    y = '0 0.1'
  []
[]

[Constraints]
  [x1]
    type = EqualValueBoundaryConstraint
    variable = disp_x
    secondary = 'x1' # boundary
    penalty = 1e6
  []
  [y1]
    type = EqualValueBoundaryConstraint
    variable = disp_y
    secondary = 'y1' # boundary
    penalty = 1e6
  []
[]

[BCs]
  [fix_x]
    type = DirichletBC
    value = 0.0
    boundary = 'x0'
    variable = disp_x
  []
  [fix_y]
    type = DirichletBC
    value = 0.0
    boundary = 'y0'
    variable = disp_y
  []
  [fix_z]
    type = DirichletBC
    value = 0.0
    boundary = 'z0'
    variable = disp_z
  []
  [back_z]
    type = FunctionDirichletBC
    boundary = 'z1'
    variable = disp_z
    use_displaced_mesh = true
    function = stretch
    preset = false
  []
  [rotate_x]
    type = DisplacementAboutAxis
    boundary = 'x0 y0 z0 x1 y1 z1'
    function = '90.'
    angle_units = degrees
    axis_origin = '0. 0. 0.'
    axis_direction = '0. 1. 0.'
    component = 0
    variable = disp_x
    angular_velocity = true
    preset = false
  []
  [rotate_y]
    type = DisplacementAboutAxis
    boundary = 'x0 y0 z0 x1 y1 z1'
    function = '90.'
    angle_units = degrees
    axis_origin = '0. 0. 0.'
    axis_direction = '0. 1. 0.'
    component = 1
    variable = disp_y
    angular_velocity = true
    preset = false
  []
  [rotate_z]
    type = DisplacementAboutAxis
    boundary = 'x0 y0 z0 x1 y1 z1'
    function = '90.'
    angle_units = degrees
    axis_origin = '0. 0. 0.'
    axis_direction = '0. 1. 0.'
    component = 2
    variable = disp_z
    angular_velocity = true
    preset = false
  []
[]

[Controls]
  [c1]
    type = TimePeriod
    enable_objects = 'BCs::fix_x BCs::fix_y BCs::fix_z BCs::back_z Constraints::x1 Constraints::y1'
    disable_objects = 'BCs::rotate_x BCs::rotate_y BCs::rotate_z'
    start_time = '0'
    end_time = '0.05'
  []
[]

[Materials]
  [stress]
    type = ComputeLagrangianLinearElasticStress
  []
  [elasticity_tensor]
    type = ComputeElasticityTensor
    fill_method = symmetric9
    C_ijkl = '1.684e5 0.176e5 0.176e5 1.684e5 0.176e5 1.684e5 0.754e5 0.754e5 0.754e5'
  []
  [czm_mat]
    type = ADPureElasticTractionSeparation
    normal_stiffness = 1e4
    tangent_stiffness = 7e3
    boundary = 'interface'
  []
[]

[Executioner]
  type = Transient

  solve_type = 'newton'
  line_search = none
  automatic_scaling = true

  petsc_options_iname = '-pc_type'
  petsc_options_value = 'lu'
  nl_rel_tol = 1e-15
  nl_abs_tol = 1e-15
  start_time = 0.0
  dt = 0.025
  end_time = 0.075
[]

[Outputs]
  exodus = true
  print_linear_residuals = false
[]

(modules/solid_mechanics/test/tests/j2_plasticity/solid_mechanics_j2plasticity.i)

[Mesh]
  displacements = 'x_disp y_disp z_disp'
  [generated_mesh]
    type = GeneratedMeshGenerator
    elem_type = HEX8
    dim = 3
    nx = 1
    ny = 1
    nz = 1
    xmin = 0.0
    xmax = 1.0
    ymin = 0.0
    ymax = 1.0
    zmin = 0.0
    zmax = 1.0
  []
  [cnode]
    type = ExtraNodesetGenerator
    coord = '0.0 0.0 0.0'
    new_boundary = 6
    input = generated_mesh
  []
  [snode]
    type = ExtraNodesetGenerator
    coord = '1.0 0.0 0.0'
    new_boundary = 7
    input = cnode
  []
[]

[Variables]
  [./x_disp]
    order = FIRST
    family = LAGRANGE
  [../]
  [./y_disp]
    order = FIRST
    family = LAGRANGE
  [../]
  [./z_disp]
    order = FIRST
    family = LAGRANGE
  [../]
[]

[Kernels]
  [SolidMechanics]
    displacements = 'x_disp y_disp z_disp'
    use_displaced_mesh = true
  [../]
[]

[Materials]
  [./fplastic]
    type = FiniteStrainPlasticMaterial
    block=0
    yield_stress='0. 445. 0.05 610. 0.1 680. 0.38 810. 0.95 920. 2. 950.'
  [../]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    block = 0
    C_ijkl = '2.827e5 1.21e5 1.21e5 2.827e5 1.21e5 2.827e5 0.808e5 0.808e5 0.808e5'
    fill_method = symmetric9
  [../]
  [./strain]
    type = ComputeFiniteStrain
    block = 0
    displacements = 'x_disp y_disp z_disp'
  [../]
[]

[Functions]
  [./topfunc]
    type = ParsedFunction
    expression = 't'
  [../]
[]

[BCs]
  [./bottom3]
    type = DirichletBC
    variable = z_disp
    boundary = 0
    value = 0.0
  [../]
  [./top]
    type = FunctionDirichletBC
    variable = z_disp
    boundary = 5
    function = topfunc
  [../]
  [./corner1]
    type = DirichletBC
    variable = x_disp
    boundary = 6
    value = 0.0
  [../]
  [./corner2]
    type = DirichletBC
    variable = y_disp
    boundary = 6
    value = 0.0
  [../]
  [./corner3]
    type = DirichletBC
    variable = z_disp
    boundary = 6
    value = 0.0
  [../]
  [./side1]
    type = DirichletBC
    variable = y_disp
    boundary = 7
    value = 0.0
  [../]
  [./side2]
    type = DirichletBC
    variable = z_disp
    boundary = 7
    value = 0.0
  [../]
[]

[AuxVariables]
  [./stress_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./peeq]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./pe11]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./pe22]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./pe33]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]

[AuxKernels]
  [./stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zz
    index_i = 2
    index_j = 2
  [../]
  [./pe11]
    type = RankTwoAux
    rank_two_tensor = plastic_strain
    variable = pe11
    index_i = 0
    index_j = 0
  [../]
    [./pe22]
    type = RankTwoAux
    rank_two_tensor = plastic_strain
    variable = pe22
    index_i = 1
    index_j = 1
  [../]
  [./pe33]
    type = RankTwoAux
    rank_two_tensor = plastic_strain
    variable = pe33
    index_i = 2
    index_j = 2
  [../]
  [./eqv_plastic_strain]
    type = MaterialRealAux
    property = eqv_plastic_strain
    variable = peeq
  [../]
[]

[Preconditioning]
  [./SMP]
   type = SMP
   full=true
  [../]
[]

[Executioner]
  type = Transient

  dt=0.1
  dtmax=1
  dtmin=0.1
  end_time=1.0

  nl_abs_tol = 1e-10
[]


[Outputs]
  file_base = out
  exodus = true
[]

(modules/solid_mechanics/test/tests/lagrangian/cartesian/updated/cross_material/correctness/plastic_j2.i)

# Simple 3D test

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
  large_kinematics = false
[]

[Variables]
  [disp_x]
  []
  [disp_y]
  []
  [disp_z]
  []
[]

[Mesh]
  [msh]
    type = GeneratedMeshGenerator
    dim = 3
    nx = 2
    ny = 1
    nz = 1
  []
[]

[AuxVariables]
  [strain_xx]
    order = CONSTANT
    family = MONOMIAL
  []
  [strain_yy]
    order = CONSTANT
    family = MONOMIAL
  []
  [strain_zz]
    order = CONSTANT
    family = MONOMIAL
  []
  [strain_xy]
    order = CONSTANT
    family = MONOMIAL
  []
  [strain_xz]
    order = CONSTANT
    family = MONOMIAL
  []
  [strain_yz]
    order = CONSTANT
    family = MONOMIAL
  []
  [stress_xx]
    order = CONSTANT
    family = MONOMIAL
  []
  [stress_yy]
    order = CONSTANT
    family = MONOMIAL
  []
  [stress_zz]
    order = CONSTANT
    family = MONOMIAL
  []
  [stress_xy]
    order = CONSTANT
    family = MONOMIAL
  []
  [stress_yz]
    order = CONSTANT
    family = MONOMIAL
  []
  [stress_xz]
    order = CONSTANT
    family = MONOMIAL
  []
[]

[AuxKernels]
  [stress_xx]
    type = RankTwoAux
    rank_two_tensor = cauchy_stress
    variable = stress_xx
    index_i = 0
    index_j = 0
    execute_on = timestep_end
  []
  [stress_yy]
    type = RankTwoAux
    rank_two_tensor = cauchy_stress
    variable = stress_yy
    index_i = 1
    index_j = 1
    execute_on = timestep_end
  []
  [stress_zz]
    type = RankTwoAux
    rank_two_tensor = cauchy_stress
    variable = stress_zz
    index_i = 2
    index_j = 2
    execute_on = timestep_end
  []
  [stress_xy]
    type = RankTwoAux
    rank_two_tensor = cauchy_stress
    variable = stress_xy
    index_i = 0
    index_j = 1
    execute_on = timestep_end
  []
  [stress_xz]
    type = RankTwoAux
    rank_two_tensor = cauchy_stress
    variable = stress_xz
    index_i = 0
    index_j = 2
    execute_on = timestep_end
  []
  [stress_yz]
    type = RankTwoAux
    rank_two_tensor = cauchy_stress
    variable = stress_yz
    index_i = 1
    index_j = 2
    execute_on = timestep_end
  []

  [strain_xx]
    type = RankTwoAux
    rank_two_tensor = mechanical_strain
    variable = strain_xx
    index_i = 0
    index_j = 0
    execute_on = timestep_end
  []
  [strain_yy]
    type = RankTwoAux
    rank_two_tensor = mechanical_strain
    variable = strain_yy
    index_i = 1
    index_j = 1
    execute_on = timestep_end
  []
  [strain_zz]
    type = RankTwoAux
    rank_two_tensor = mechanical_strain
    variable = strain_zz
    index_i = 2
    index_j = 2
    execute_on = timestep_end
  []
  [strain_xy]
    type = RankTwoAux
    rank_two_tensor = mechanical_strain
    variable = strain_xy
    index_i = 0
    index_j = 1
    execute_on = timestep_end
  []
  [strain_xz]
    type = RankTwoAux
    rank_two_tensor = mechanical_strain
    variable = strain_xz
    index_i = 0
    index_j = 2
    execute_on = timestep_end
  []
  [strain_yz]
    type = RankTwoAux
    rank_two_tensor = mechanical_strain
    variable = strain_yz
    index_i = 1
    index_j = 2
    execute_on = timestep_end
  []
[]

[Kernels]
  [sdx]
    type = UpdatedLagrangianStressDivergence
    variable = disp_x
    component = 0
    use_displaced_mesh = false
  []
  [sdy]
    type = UpdatedLagrangianStressDivergence
    variable = disp_y
    component = 1
    use_displaced_mesh = false
  []
  [sdz]
    type = UpdatedLagrangianStressDivergence
    variable = disp_z
    component = 2
    use_displaced_mesh = false
  []
[]

[Functions]
  [pullx]
    type = ParsedFunction
    expression = 't'
  []
[]

[BCs]
  [leftx]
    type = DirichletBC
    preset = true
    boundary = left
    variable = disp_x
    value = 0.0
  []
  [lefty]
    type = DirichletBC
    preset = true
    boundary = bottom
    variable = disp_y
    value = 0.0
  []
  [leftz]
    type = DirichletBC
    preset = true
    boundary = back
    variable = disp_z
    value = 0.0
  []
  [pull_x]
    type = FunctionDirichletBC
    boundary = right
    variable = disp_x
    function = pullx
  []
[]

[UserObjects]
  [./str]
    type = SolidMechanicsHardeningPowerRule
    value_0 = 100.0
    epsilon0 = 0.1
    exponent = 2.0
  [../]
  [./j2]
    type = SolidMechanicsPlasticJ2
    yield_strength = str
    yield_function_tolerance = 1E-3
    internal_constraint_tolerance = 1E-9
  [../]
[]

[Materials]
  [elastic_tensor]
    type = ComputeIsotropicElasticityTensor
    youngs_modulus = 100000.0
    poissons_ratio = 0.3
  []
  [compute_stress]
    type = ComputeLagrangianWrappedStress
  []
  [compute_stress_base]
    type = ComputeMultiPlasticityStress
    plastic_models = j2
    ep_plastic_tolerance = 1E-9
  []
  [compute_strain]
    type = ComputeLagrangianStrain
  []
[]

[Preconditioning]
  [smp]
    type = SMP
    full = true
  []
[]

[Postprocessors]
  [./strain]
    type = ElementAverageValue
    variable = strain_xx
  []
  [./stress]
    type = ElementAverageValue
    variable = stress_xx
  []
[]

[Executioner]
  type = Transient

  solve_type = 'newton'
  line_search = none

  petsc_options_iname = '-pc_type'
  petsc_options_value = 'lu'

  l_max_its = 2
  l_tol = 1e-14
  nl_max_its = 15
  nl_rel_tol = 1e-8
  nl_abs_tol = 1e-10

  start_time = 0.0
  dt = 0.001
  dtmin = 0.001
  end_time = 0.05
[]

[Outputs]
  exodus = false
  csv = true
[]

(modules/solid_mechanics/test/tests/crystal_plasticity/hcp_single_crystal/update_method_hcp_convergence_issue_flag.i)

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]

[Mesh]
  [cube]
    type = GeneratedMeshGenerator
    dim = 3
    nx = 2
    ny = 2
    nz = 2
    elem_type = HEX8
  []
  [center_node]
    type = BoundingBoxNodeSetGenerator
    input = cube
    new_boundary = 'center_point'
    top_right = '0.51 0.51 0'
    bottom_left = '0.49 0.49 0'
  []
  [back_edge_y]
    type = BoundingBoxNodeSetGenerator
    input = center_node
    new_boundary = 'back_edge_y'
    bottom_left = '0.9 0.5 0'
    top_right = '1.1 0.5 0'
  []
  [back_edge_x]
    type = BoundingBoxNodeSetGenerator
    input = back_edge_y
    new_boundary = back_edge_x
    bottom_left = '0.5 0.9 0'
    top_right =   '0.5 1.0 0'
  []
[]

[AuxVariables]
  [temperature]
    initial_condition = 300
  []
[]

[Physics/SolidMechanics/QuasiStatic/all]
  strain = FINITE
  incremental = true
  add_variables = true
[]

[BCs]
  [fix_y]
    type = DirichletBC
    variable = disp_y
    preset = true
    boundary = 'center_point back_edge_y'
    value = 0
  []
  [fix_x]
    type = DirichletBC
    variable = disp_x
    boundary = 'center_point back_edge_x'
    value = 0
  []
  [fix_z]
    type = DirichletBC
    variable = disp_z
    boundary = 'back'
    value = 0
  []
  [tdisp]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = front
    function = '0.001*t'
  []
[]

[Materials]
  [elasticity_tensor]
    type = ComputeElasticityTensorCP
    C_ijkl = '1.622e5 9.18e4 6.88e4 1.622e5 6.88e4 1.805e5 4.67e4 4.67e4 4.67e4' #alpha Ti, Alankar et al. Acta Materialia 59 (2011) 7003-7009
    fill_method = symmetric9
    euler_angle_1 = 164.5
    euler_angle_2 =  90.0
    euler_angle_3 =  15.3
  []
  [stress]
    type = ComputeMultipleCrystalPlasticityStress
    crystal_plasticity_models = 'trial_xtalpl'
    tan_mod_type = exact
    print_state_variable_convergence_error_messages = true
  []
  [trial_xtalpl]
    type = CrystalPlasticityHCPDislocationSlipBeyerleinUpdate
    number_slip_systems = 15
    slip_sys_file_name = hcp_aprismatic_capyramidal_slip_sys.txt
    unit_cell_dimension = '2.934e-7 2.934e-7 4.657e-7' #Ti, in mm, https://materialsproject.org/materials/mp-46/
    temperature = temperature
    initial_forest_dislocation_density = 15.0e5
    initial_substructure_density = 1.0e3
    slip_system_modes = 2
    number_slip_systems_per_mode = '3 12'
    lattice_friction_per_mode = '0.5 5'
    effective_shear_modulus_per_mode = '4.7e4 4.7e4' #Ti, in MPa, https://materialsproject.org/materials/mp-46/
    burgers_vector_per_mode = '2.934e-7 6.586e-7' #Ti, in mm, https://materialsproject.org/materials/mp-46/
    slip_generation_coefficient_per_mode = '1e5 2e7'
    normalized_slip_activiation_energy_per_mode = '4e-3 3e-2'
    slip_energy_proportionality_factor_per_mode = '330 100'
    substructure_rate_coefficient_per_mode = '400 100'
    applied_strain_rate = 0.001
    gamma_o = 1.0e-3
    Hall_Petch_like_constant_per_mode = '2e-3 2e-3' #minimize impact
    grain_size = 20.0e-3 #20 microns
    print_state_variable_convergence_error_messages = true
  []
[]

[Preconditioning]
  [smp]
    type = SMP
    full = true
  []
[]

[Executioner]
  type = Transient
  solve_type = 'PJFNK'

  petsc_options_iname = '-pc_type -pc_asm_overlap -sub_pc_type -ksp_type -ksp_gmres_restart'
  petsc_options_value = ' asm      2              lu            gmres     200'
  nl_abs_tol = 1e-10
  nl_rel_tol = 1e-10
  nl_abs_step_tol = 1e-10
  nl_max_its = 20
  l_max_its = 50

  dt = 0.3
  dtmin = 1.0e-4
  dtmax = 0.1
  num_steps = 1
[]

(modules/contact/test/tests/bouncing-block-contact/variational-frictional-action.i)

starting_point = 2e-1

# We offset slightly so we avoid the case where the bottom of the secondary block and the top of the
# primary block are perfectly vertically aligned which can cause the backtracking line search some
# issues for a coarse mesh (basic line search handles that fine)
offset = 1e-2

[GlobalParams]
  displacements = 'disp_x disp_y'
  diffusivity = 1e0
[]

[Mesh]
  [file_mesh]
    type = FileMeshGenerator
    file = long-bottom-block-1elem-blocks-coarse.e
  []
  [remove]
    type = BlockDeletionGenerator
    input = file_mesh
    block = '3 4'
  []
  patch_update_strategy = iteration
[]

# [Problem]
#   type = DumpObjectsProblem
#   dump_path = Contact/contact_action
# []

[Variables]
  [disp_x]
    block = '1 2'
    scaling = 1e1
  []
  [disp_y]
    block = '1 2'
    scaling = 1e1
  []
[]

[ICs]
  [disp_y]
    block = 2
    variable = disp_y
    value = '${fparse starting_point + offset}'
    type = ConstantIC
  []
[]

[Kernels]
  [disp_x]
    type = MatDiffusion
    variable = disp_x
  []
  [disp_y]
    type = MatDiffusion
    variable = disp_y
  []
[]

[AuxVariables]
  [procid]
    family = MONOMIAL
    order = CONSTANT
  []
[]

[AuxKernels]
  [procid]
    type = ProcessorIDAux
    variable = procid
  []
[]

[Contact]
  [contact_action]
    model = coulomb
    formulation = mortar
    c_normal = 1.0e-2
    c_tangential = 1.0e-1
    friction_coefficient = 0.1
    primary = 10
    secondary = 20
    normalize_c = true
    normal_lm_scaling = 1e3
    tangential_lm_scaling = 1e2
    correct_edge_dropping = true
    use_dual = false
  []
[]

[BCs]
  [botx]
    type = DirichletBC
    variable = disp_x
    boundary = 40
    value = 0.0
  []
  [boty]
    type = DirichletBC
    variable = disp_y
    boundary = 40
    value = 0.0
  []
  [topy]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 30
    function = '${starting_point} * cos(2 * pi / 40 * t) + ${offset}'
  []
  [leftx]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 50
    function = '1e-2 * t'
  []
[]

[Executioner]
  type = Transient
  end_time = 200
  dt = 5
  dtmin = .1
  solve_type = 'PJFNK'
  petsc_options = '-snes_converged_reason -ksp_converged_reason'
  petsc_options_iname = '-pc_type -pc_factor_shift_type -pc_factor_shift_amount'
  petsc_options_value = 'lu       NONZERO               1e-15'
  l_max_its = 30
  nl_max_its = 25
  line_search = 'none'
  nl_rel_tol = 1e-12
[]

[Debug]
  show_var_residual_norms = true
[]

[Outputs]
  [exodus]
    type = Exodus
    hide = 'procid contact_pressure nodal_area penetration'
  []
[]

[Preconditioning]
  [smp]
    type = SMP
    full = true
  []
[]

(modules/solid_mechanics/test/tests/mean_cap_TC/random04.i)

# apply many random large deformations, checking that the algorithm returns correctly to
# the yield surface each time.
[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1000
  ny = 125
  nz = 1
  xmin = 0
  xmax = 1000
  ymin = 0
  ymax = 125
  zmin = 0
  zmax = 1
[]


[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
[]

[Kernels]
  [SolidMechanics]
    displacements = 'disp_x disp_y disp_z'
  [../]
[]


[ICs]
  [./x]
    type = RandomIC
    min = -0.1
    max = 0.1
    variable = disp_x
  [../]
  [./y]
    type = RandomIC
    min = -0.1
    max = 0.1
    variable = disp_y
  [../]
  [./z]
    type = RandomIC
    min = -0.1
    max = 0.1
    variable = disp_z
  [../]
[]

[BCs]
  [./x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'front back'
    function = '0'
  [../]
  [./y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'front back'
    function = '0'
  [../]
  [./z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'front back'
    function = '0'
  [../]
[]

[AuxVariables]
  [./yield_fcn]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./iter]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]

[AuxKernels]
  [./yield_fcn_auxk]
    type = MaterialStdVectorAux
    index = 0
    property = plastic_yield_function
    variable = yield_fcn
  [../]
  [./iter]
    type = MaterialRealAux
    property = plastic_NR_iterations
    variable = iter
  [../]
[]

[Postprocessors]
  [./max_yield_fcn]
    type = ElementExtremeValue
    variable = yield_fcn
    outputs = 'console'
  [../]
  [./should_be_zero]
    type = FunctionValuePostprocessor
    function = should_be_zero_fcn
  [../]
  [./av_iter]
    type = ElementAverageValue
    variable = iter
    outputs = 'console'
  [../]
[]

[Functions]
  [./should_be_zero_fcn]
    type = ParsedFunction
    expression = 'if(a<1E-3,0,a)'
    symbol_names = 'a'
    symbol_values = 'max_yield_fcn'
  [../]
[]

[UserObjects]
  [./tensile_strength]
    type = SolidMechanicsHardeningCubic
    value_0 = 1
    value_residual = 0.1
    internal_limit = 0.1
  [../]
  [./compressive_strength]
    type = SolidMechanicsHardeningCubic
    value_0 = -1.5
    value_residual = 0
    internal_limit = 0.1
  [../]
  [./cap]
    type = SolidMechanicsPlasticMeanCapTC
    tensile_strength = tensile_strength
    compressive_strength = compressive_strength
    yield_function_tolerance = 1E-3
    internal_constraint_tolerance = 1E-9
    use_custom_returnMap = true
    use_custom_cto = true
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    block = 0
    fill_method = symmetric_isotropic
    C_ijkl = '0.7E7 1E7'
  [../]
  [./strain]
    type = ComputeIncrementalStrain
    block = 0
    displacements = 'disp_x disp_y disp_z'
  [../]
  [./mc]
    type = ComputeMultiPlasticityStress
    block = 0
    max_NR_iterations = 2
    ep_plastic_tolerance = 1E-6
    plastic_models = cap
  [../]
[]


[Executioner]
  end_time = 1
  dt = 1
  type = Transient
[]


[Outputs]
  file_base = random04
  exodus = false
  [./csv]
    type = CSV
  [../]
[]

(test/tests/outputs/sampled_output/over_sampling_second_file.i)

[Mesh]
  type = FileMesh
  # Read in and work with a second order mesh
  file = wedge18_mesh.e
  # If we have an oversample mesh file, we haven not yet implemented
  # synchronization of its partitioning with the problem mesh, so we
  # need to keep the problem mesh replicated.
  parallel_type = replicated
[]

[Functions]
  [./exact_fn]
    type = ParsedFunction
    expression = t*((x*x)+(y*y))
  [../]

  [./forcing_fn]
    type = ParsedFunction
    expression = -4+(x*x+y*y)
  [../]
[]

[Variables]
  active = 'u'

  [./u]
  [../]
[]

[Kernels]
  active = 'ie diff ffn'

  [./ie]
    type = TimeDerivative
    variable = u
  [../]

  [./diff]
    type = Diffusion
    variable = u
  [../]

  [./ffn]
    type = BodyForce
    variable = u
    function = forcing_fn
  [../]
[]

[BCs]
  [./all]
    type = FunctionDirichletBC
    variable = u
    boundary = '1 2 4'
    function = exact_fn
  [../]
[]

[Executioner]
  type = Transient

  solve_type = 'PJFNK'

  dt = 0.2
  start_time = 0
  num_steps = 3
[]

[Outputs]
  file_base = out_wedge
  [./oversample]
    type = Exodus
    file_base = out_wedge_oversample
    file = wedge6_mesh.e
  [../]
[]

(modules/solid_mechanics/test/tests/mean_cap/random.i)

# apply many random large deformations, checking that the algorithm returns correctly to
# the yield surface each time.  Two yield surfaces are used: one for compression and one for tension.


[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1000
  ny = 125
  nz = 1
  xmin = 0
  xmax = 1000
  ymin = 0
  ymax = 125
  zmin = 0
  zmax = 1
[]


[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
[]

[Kernels]
  [SolidMechanics]
    displacements = 'disp_x disp_y disp_z'
  [../]
[]


[ICs]
  [./x]
    type = RandomIC
    min = -0.1
    max = 0.1
    variable = disp_x
  [../]
  [./y]
    type = RandomIC
    min = -0.1
    max = 0.1
    variable = disp_y
  [../]
  [./z]
    type = RandomIC
    min = -0.1
    max = 0.1
    variable = disp_z
  [../]
[]

[BCs]
  [./x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'front back'
    function = '0'
  [../]
  [./y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'front back'
    function = '0'
  [../]
  [./z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'front back'
    function = '0'
  [../]
[]

[AuxVariables]
  [./yield_fcn]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./iter]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]

[AuxKernels]
  [./yield_fcn_auxk]
    type = MaterialStdVectorAux
    index = 0
    property = plastic_yield_function
    variable = yield_fcn
  [../]
  [./iter]
    type = MaterialRealAux
    property = plastic_NR_iterations
    variable = iter
  [../]
[]

[Postprocessors]
  [./max_yield_fcn]
    type = ElementExtremeValue
    variable = yield_fcn
    outputs = 'console'
  [../]
  [./should_be_zero]
    type = FunctionValuePostprocessor
    function = should_be_zero_fcn
  [../]
  [./av_iter]
    type = ElementAverageValue
    variable = iter
    outputs = 'console'
  [../]
[]

[Functions]
  [./should_be_zero_fcn]
    type = ParsedFunction
    expression = 'if(a<1E-3,0,a)'
    symbol_names = 'a'
    symbol_values = 'max_yield_fcn'
  [../]
[]

[UserObjects]
  [./strength]
    type = SolidMechanicsHardeningConstant
    value = 1
  [../]
  [./cap1]
    type = SolidMechanicsPlasticMeanCap
    a = -1
    strength = strength
    yield_function_tolerance = 1E-3
    internal_constraint_tolerance = 1E-9
  [../]
  [./cap2]
    type = SolidMechanicsPlasticMeanCap
    a = 1
    strength = strength
    yield_function_tolerance = 1E-3
    internal_constraint_tolerance = 1E-9
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    block = 0
    fill_method = symmetric_isotropic
    C_ijkl = '0.7E7 1E7'
  [../]
  [./strain]
    type = ComputeIncrementalStrain
    block = 0
    displacements = 'disp_x disp_y disp_z'
  [../]
  [./mc]
    type = ComputeMultiPlasticityStress
    block = 0
    max_NR_iterations = 2
    ep_plastic_tolerance = 1E-6
    plastic_models = 'cap1 cap2'
    debug_fspb = crash
    deactivation_scheme = optimized
    min_stepsize = 1
    max_stepsize_for_dumb = 1
  [../]
[]


[Executioner]
  end_time = 1
  dt = 1
  type = Transient
[]


[Outputs]
  file_base = random
  exodus = false
  [./csv]
    type = CSV
  [../]
[]

(modules/combined/test/tests/elastic_thermal_patch/elastic_thermal_patch_rz_smp.i)

#
# This problem is modified from the Abaqus verification manual:
#   "1.5.4 Patch test for axisymmetric elements"
# The original stress solution is given as:
#   xx = yy = zz = 2000
#   xy = 400
#
# Here, E=1e6 and nu=0.25.
# However, with a +100 degree change in temperature and a coefficient
#   of thermal expansion of 1e-6, the solution becomes:
#   xx = yy = zz = 1800
#   xy = 400
#   since
#   E*(1-nu)/(1+nu)/(1-2*nu)*(1+2*nu/(1-nu))*(1e-3-1e-4) = 1800
#
# Also,
#
#   dSrr   dSrz   Srr-Stt
#   ---- + ---- + ------- + br = 0
#    dr     dz       r
#
# and
#
#   dSrz   Srz   dSzz
#   ---- + --- + ---- + bz = 0
#    dr     r     dz
#
# where
#   Srr = stress in rr
#   Szz = stress in zz
#   Stt = stress in theta-theta
#   Srz = stress in rz
#   br  = body force in r direction
#   bz  = body force in z direction
#
# This test is meant to exercise the Jacobian.  To that end, the body
# force has been turned off.  This makes the results differ slightly
# from the original values, but requires a correct Jacobian for minimal
# iterations.  Iteration plotting is turned on to ensure that the
# number of iterations needed does not increase.

[GlobalParams]
  temperature = temp
  volumetric_locking_correction = true
[]

[Problem]
  coord_type = RZ
[]

[Mesh]
  file = elastic_thermal_patch_rz_test.e
[]

[Functions]
  [./ur]
    type = ParsedFunction
    expression = '1e-3*x'
  [../]
  [./uz]
    type = ParsedFunction
    expression = '1e-3*(x+y)'
  [../]
  [./body]
    type = ParsedFunction
    expression = '-400/x'
  [../]
  [./temp]
    type = ParsedFunction
    expression = '117.56+100*t'
  [../]
[]

[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]

  [./temp]
    initial_condition = 117.56
  [../]
[]

[Physics]
    [SolidMechanics]
        [QuasiStatic]
            displacements = 'disp_x disp_y'
            [All]
                displacements = 'disp_x disp_y'
                add_variables = true
                strain = SMALL
                incremental = true
                eigenstrain_names = eigenstrain
                generate_output = 'stress_xx stress_yy stress_zz stress_xy stress_yz stress_zx'
            [../]
        [../]
    [../]
[]

[Kernels]
  [./heat]
    type = HeatConduction
    variable = temp
  [../]
[]

[BCs]
  [./ur]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 10
    function = ur
  [../]
  [./uz]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 10
    function = uz
  [../]

  [./temp]
    type = FunctionDirichletBC
    variable = temp
    boundary = 10
    function = temp
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeIsotropicElasticityTensor
    bulk_modulus = 666666.6666666667
    poissons_ratio = 0.25
  [../]
  [./thermal_strain]
    type = ComputeThermalExpansionEigenstrain
    thermal_expansion_coeff = 1e-6
    stress_free_temperature = 117.56
    eigenstrain_name = eigenstrain
  [../]
  [./stress]
    type = ComputeStrainIncrementBasedStress
  [../]

  [./heat]
    type = HeatConductionMaterial
    specific_heat = 0.116
    thermal_conductivity = 4.85e-4
  [../]

  [./density]
    type = Density
    block = 1
    density = 0.283
  [../]
[]

[Preconditioning]
  [./SMP]
    type = SMP
    full = true
  [../]
[]

[Executioner]
  type = Transient
  solve_type = 'PJFNK'

  nl_abs_tol = 1e-11
  nl_rel_tol = 1e-12

  l_max_its = 20

  start_time = 0.0
  dt = 1.0
  num_steps = 1
  end_time = 1.0
[]

[Outputs]
  file_base = elastic_thermal_patch_rz_smp_out
  [./exodus]
    type = Exodus
    execute_on = 'initial timestep_end nonlinear'
    nonlinear_residual_dt_divisor = 100
  [../]
[]

(modules/xfem/test/tests/high_order_elements/diffusion_2d.i)

[GlobalParams]
  order = SECOND
  family = LAGRANGE
[]

[Mesh]
  type = GeneratedMesh
  dim = 2
  nx = 3
  ny = 4
  xmin = 0.0
  xmax = 1.0
  ymin = 0.0
  ymax = 1.0
  elem_type = TRI6
[]

[XFEM]
  qrule = volfrac
  output_cut_plane = true
[]

[UserObjects]
  [./line_seg_cut_uo]
    type = LineSegmentCutUserObject
    cut_data = '0.35 1.0 0.35 0.2'
    time_start_cut = 0.0
    time_end_cut = 2.0
  [../]
[]

[Variables]
  [./u]
  [../]
[]

[Functions]
  [./u_left]
    type = PiecewiseLinear
    x = '0   2'
    y = '0  0.1'
  [../]
[]

[Kernels]
  [./diff]
    type = Diffusion
    variable = u
  [../]
[]

[BCs]
# Define boundary conditions
  [./left_u]
    type = FunctionDirichletBC
    variable = u
    boundary = 3
    function = u_left
  [../]

  [./right_u]
    type = DirichletBC
    variable = u
    boundary = 1
    value = 0
  [../]
[]

[Executioner]
  type = Transient
  solve_type = 'PJFNK'
  petsc_options_iname = '-pc_type -pc_hypre_type'
  petsc_options_value = 'hypre boomeramg'
  line_search = 'none'

  l_tol = 1e-3
  nl_max_its = 15
  nl_rel_tol = 1e-10
  nl_abs_tol = 1e-10

  start_time = 0.0
  dt = 1.0
  end_time = 2.0
[]

[Outputs]
  time_step_interval = 1
  execute_on = timestep_end
  exodus = true
  [./console]
    type = Console
    output_linear = true
  [../]
[]

(modules/solid_mechanics/test/tests/tensile/small_deform2_update_version.i)

# Using TensileStressUpdate
# checking for small deformation
# A single element is stretched equally in all directions.
# This causes the return direction to be along the sigma_I = sigma_II = sigma_III line
# tensile_strength is set to 1Pa, and smoothing_tol = 0.1Pa
# The smoothed yield function comes from two smoothing operations.
# The first is on sigma_I and sigma_II (sigma_I >= sigma_II >= sigma_III):
# yf = sigma_I + ismoother(0) - tensile_strength
#    = sigma_I + (0.5 * smoothing_tol - smoothing_tol / Pi) - tensile_strength
#    = sigma_I + 0.018169 - 1
# The second has the argument of ismoother equal to -0.018169.
# ismoother(-0.018169) = 0.5 * (-0.018169 + 0.1) - 0.1 * cos (0.5 * Pi * -0.018169 / 0.1) / Pi
#                     = 0.010372
# So the final yield function is
# yf = sigma_I + 0.018169 + 0.010372 - 1 = sigma_I + 0.028541 - 1
# However, because of the asymmetry in smoothing (the yield function is obtained
# by first smoothing sigma_I-ts and sigma_II-ts, and then by smoothing this
# result with sigma_III-ts) the result is sigma_I = sigma_II > sigma_III


[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]
[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]

[Physics/SolidMechanics/QuasiStatic]
  [./all]
    add_variables = true
    incremental = true
    strain = finite
    generate_output = 'max_principal_stress mid_principal_stress min_principal_stress stress_xx stress_xy stress_xz stress_yy stress_yz stress_zz'
  [../]
[]

[BCs]
  [./x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'front back'
    function = '1E-6*x'
  [../]
  [./y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'front back'
    function = '1E-6*y'
  [../]
  [./z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'front back'
    function = '1E-6*z'
  [../]
[]

[AuxVariables]
  [./yield_fcn]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]

[AuxKernels]
  [./yield_fcn_auxk]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 0
    variable = yield_fcn
  [../]
[]

[Postprocessors]
  [./s_I]
    type = PointValue
    point = '0 0 0'
    variable = max_principal_stress
  [../]
  [./s_II]
    type = PointValue
    point = '0 0 0'
    variable = mid_principal_stress
  [../]
  [./s_III]
    type = PointValue
    point = '0 0 0'
    variable = min_principal_stress
  [../]
  [./s_xx]
    type = PointValue
    point = '0 0 0'
    variable = stress_xx
  [../]
  [./s_xy]
    type = PointValue
    point = '0 0 0'
    variable = stress_xy
  [../]
  [./s_xz]
    type = PointValue
    point = '0 0 0'
    variable = stress_xz
  [../]
  [./s_yy]
    type = PointValue
    point = '0 0 0'
    variable = stress_yy
  [../]
  [./s_yz]
    type = PointValue
    point = '0 0 0'
    variable = stress_yz
  [../]
  [./s_zz]
    type = PointValue
    point = '0 0 0'
    variable = stress_zz
  [../]
  [./f]
    type = PointValue
    point = '0 0 0'
    variable = yield_fcn
  [../]
[]

[UserObjects]
  [./ts]
    type = SolidMechanicsHardeningConstant
    value = 1
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    block = 0
    fill_method = symmetric_isotropic
    C_ijkl = '0 2.0E6'
  [../]
  [./tensile]
    type = TensileStressUpdate
    tensile_strength = ts
    smoothing_tol = 0.1
    yield_function_tol = 1.0E-12
  [../]
  [./stress]
    type = ComputeMultipleInelasticStress
    inelastic_models = tensile
    perform_finite_strain_rotations = false
  [../]
[]


[Executioner]
  end_time = 1
  dt = 1
  type = Transient
[]


[Outputs]
  file_base = small_deform2_update_version
  exodus = false
  [./csv]
    type = CSV
  [../]
[]

(modules/combined/test/tests/reference_residual/reference_residual.i)

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]

[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 4
  ny = 4
  nz = 4
[]

[Problem]
  type = ReferenceResidualProblem
  extra_tag_vectors = 'ref'
  reference_vector = 'ref'
[]

[Variables]
  [./disp_x]
    order = FIRST
    family = LAGRANGE
  [../]

  [./disp_y]
    order = FIRST
    family = LAGRANGE
  [../]

  [./disp_z]
    order = FIRST
    family = LAGRANGE
  [../]

  [./temp]
    order = FIRST
    family = LAGRANGE
  [../]
[]

[AuxVariables]
  [./saved_x]
  [../]
  [./saved_y]
  [../]
  [./saved_z]
  [../]
  [./saved_t]
  [../]
[]

[Physics/SolidMechanics/QuasiStatic]
  [./all]
    volumetric_locking_correction = true
    incremental = true
    save_in = 'saved_x saved_y saved_z'
    eigenstrain_names = thermal_expansion
    strain = FINITE
    decomposition_method = EigenSolution
    extra_vector_tags = 'ref'
    temperature = temp
  [../]
[]

[Kernels]
  [./heat]
    type = HeatConduction
    variable = temp
    save_in = saved_t
    extra_vector_tags = 'ref'
  [../]
[]

[Functions]
  [./pull]
    type = PiecewiseLinear
    x = '0 1 2'
    y = '0 1 1'
    scale_factor = 0.1
  [../]
[]

[BCs]
  [./bottom_x]
    type = DirichletBC
    variable = disp_x
    boundary = bottom
    value = 0.0
  [../]

  [./bottom_y]
    type = DirichletBC
    variable = disp_y
    boundary = bottom
    value = 0.0
  [../]

  [./bottom_z]
    type = DirichletBC
    variable = disp_z
    boundary = bottom
    value = 0.0
  [../]

  [./top_x]
    type = DirichletBC
    variable = disp_x
    boundary = top
    value = 0.0
  [../]

  [./top_y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = top
    function = pull
  [../]

  [./top_z]
    type = DirichletBC
    variable = disp_z
    boundary = top
    value = 0.0
  [../]

  [./bottom_temp]
    type = DirichletBC
    variable = temp
    boundary = bottom
    value = 10.0
  [../]

  [./top_temp]
    type = DirichletBC
    variable = temp
    boundary = top
    value = 20.0
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeIsotropicElasticityTensor
    block = 0
    youngs_modulus = 1.0
    poissons_ratio = 0.3
  [../]
  [./stress]
    type = ComputeFiniteStrainElasticStress
    block = 0
  [../]

  [./thermal_expansion]
    type = ComputeThermalExpansionEigenstrain
    block = 0
    eigenstrain_name = thermal_expansion
    temperature = temp
    thermal_expansion_coeff = 1e-5
    stress_free_temperature = 0.0
  [../]

  [./heat1]
    type = HeatConductionMaterial
    block = 0
    specific_heat = 1.0
    thermal_conductivity = 1e-3 #Tuned to give temperature reference resid close to that of solidmech
  [../]

  [./density]
    type = Density
    block = 0
    density = 1.0
  [../]
[]

[Executioner]
  type = Transient
  solve_type = 'PJFNK'

  nl_rel_tol = 1e-10

  l_tol = 1e-3
  l_max_its = 100

  dt = 1.0
  end_time = 2.0
[]

[Postprocessors]
  [./ref_resid_x]
    type = NodalL2Norm
    execute_on = timestep_end
    variable = saved_x
  [../]
  [./ref_resid_y]
    type = NodalL2Norm
    execute_on = timestep_end
    variable = saved_y
  [../]
  [./ref_resid_z]
    type = NodalL2Norm
    execute_on = timestep_end
    variable = saved_z
  [../]
  [./ref_resid_t]
    type = NodalL2Norm
    execute_on = timestep_end
    variable = saved_t
  [../]
  [./nonlinear_its]
    type = NumNonlinearIterations
  []
[]

[Outputs]
  exodus = true
[]

(test/tests/bcs/second_deriv/test_lap_bc.i)

[Mesh]
  type = GeneratedMesh
  dim = 2
  nx = 1
  ny = 1
  xmin = -1
  xmax = 1
  ymin = -1
  ymax = 1
  elem_type = QUAD9
[]

[Variables]
  [./u]
    order = SECOND
    family = LAGRANGE
  [../]
[]

[Kernels]
  [./diff]
    type = Diffusion
    variable = u
  [../]
  [./ffn]
    type = BodyForce
    variable = u
    function = force_fn
  [../]
[]

[Functions]
  [./left_bc_func]
    type = ParsedFunction
    expression = '1+y*y'
  [../]
  [./top_bc_func]
    type = ParsedFunction
    expression = '1+x*x'
  [../]
  [./bottom_bc_func]
    type = ParsedFunction
    expression = '1+x*x'
  [../]
  [./force_fn]
    type = ParsedFunction
    expression = -4
  [../]
[]

[BCs]
  [./left]
    type = FunctionDirichletBC
    variable = u
    boundary = left
    function = left_bc_func
  [../]
  [./bottom]
    type = FunctionDirichletBC
    variable = u
    boundary = bottom
    function = bottom_bc_func
  [../]
  [./top]
    type = FunctionDirichletBC
    variable = u
    boundary = top
    function = top_bc_func
  [../]
  [./right_test]
    type = TestLapBC
    variable = u
    boundary = right
  [../]
[]

[Executioner]
  type = Steady
  solve_type = 'NEWTON'
[]

[Outputs]
  file_base = out
  exodus = true
[]

(test/tests/postprocessors/avg_nodal_var_value/avg_nodal_var_value_ts_begin.i)

[Mesh]
  file = square-2x2-nodeids.e
[]

[Variables]
  active = 'u v'

  [./u]
    order = SECOND
    family = LAGRANGE
  [../]

  [./v]
    order = SECOND
    family = LAGRANGE
  [../]
[]

[Functions]
  active = 'force_fn exact_fn left_bc'

  [./force_fn]
    type = ParsedFunction
    expression = '1-x*x+2*t'
  [../]

  [./exact_fn]
    type = ParsedFunction
    expression = '(1-x*x)*t'
  [../]

  [./left_bc]
    type = ParsedFunction
    expression = t
  [../]
[]

[Kernels]
  active = '
    time_u diff_u ffn_u
    time_v diff_v'

  [./time_u]
    type = TimeDerivative
    variable = u
  [../]

  [./diff_u]
    type = Diffusion
    variable = u
  [../]

  [./ffn_u]
    type = BodyForce
    variable = u
    function = force_fn
  [../]

  [./time_v]
    type = TimeDerivative
    variable = v
  [../]

  [./diff_v]
    type = Diffusion
    variable = v
  [../]
[]

[BCs]
  active = 'all_u left_v right_v'

  [./all_u]
    type = FunctionDirichletBC
    variable = u
    boundary = '1'
    function = exact_fn
  [../]

  [./left_v]
    type = FunctionDirichletBC
    variable = v
    boundary = '3'
    function = left_bc
  [../]

  [./right_v]
    type = DirichletBC
    variable = v
    boundary = '2'
    value = 0
  [../]
[]

[Postprocessors]
  [./l2]
    type = ElementL2Error
    variable = u
    function = exact_fn
  [../]

  [./node1]
    type = AverageNodalVariableValue
    variable = u
    boundary = 10
    execute_on = TIMESTEP_BEGIN
  [../]

  [./node4]
    type = AverageNodalVariableValue
    variable = v
    boundary = 13
  [../]
[]

[Executioner]
  type = Transient

  solve_type = 'PJFNK'

  dt = 0.1
  start_time = 0
  end_time = 1
[]

[Outputs]
  execute_on = 'timestep_end'
  file_base = out_avg_nodal_var_value_ts_begin
  exodus = true
[]

(modules/solid_mechanics/test/tests/multi/three_surface11.i)

# Plasticit models:
# SimpleTester0 with a = 0 and b = 1 and strength = 1
# SimpleTester1 with a = 1 and b = 0 and strength = 1
# SimpleTester2 with a = 1 and b = 1 and strength = 3
#
# Lame lambda = 0 (Poisson=0).  Lame mu = 0.5E6
#
# A single element is stretched by 0E-6m in y direction and 2E-6 in z direction.
# trial stress_yy = 0 and stress_zz = 2.0
#
# Then SimpleTester0 should activate and the algorithm will return to
# stress_zz=1
# internal0 should be 1.0

[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]


[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
[]

[Kernels]
  [SolidMechanics]
    displacements = 'disp_x disp_y disp_z'
  [../]
[]


[BCs]
  [./x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'front back'
    function = '0E-6*x'
  [../]
  [./y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'front back'
    function = '0.0E-6*y'
  [../]
  [./z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'front back'
    function = '2.0E-6*z'
  [../]
[]

[AuxVariables]
  [./stress_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f0]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f1]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f2]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./int0]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./int1]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./int2]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]

[AuxKernels]
  [./stress_xx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xx
    index_i = 0
    index_j = 0
  [../]
  [./stress_xy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xy
    index_i = 0
    index_j = 1
  [../]
  [./stress_xz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xz
    index_i = 0
    index_j = 2
  [../]
  [./stress_yy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yy
    index_i = 1
    index_j = 1
  [../]
  [./stress_yz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yz
    index_i = 1
    index_j = 2
  [../]
  [./stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zz
    index_i = 2
    index_j = 2
  [../]
  [./f0]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 0
    variable = f0
  [../]
  [./f1]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 1
    variable = f1
  [../]
  [./f2]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 2
    variable = f2
  [../]
  [./int0]
    type = MaterialStdVectorAux
    property = plastic_internal_parameter
    factor = 1E6
    index = 0
    variable = int0
  [../]
  [./int1]
    type = MaterialStdVectorAux
    property = plastic_internal_parameter
    factor = 1E6
    index = 1
    variable = int1
  [../]
  [./int2]
    type = MaterialStdVectorAux
    property = plastic_internal_parameter
    factor = 1E6
    index = 2
    variable = int2
  [../]
[]

[Postprocessors]
  [./s_xx]
    type = PointValue
    point = '0 0 0'
    variable = stress_xx
  [../]
  [./s_xy]
    type = PointValue
    point = '0 0 0'
    variable = stress_xy
  [../]
  [./s_xz]
    type = PointValue
    point = '0 0 0'
    variable = stress_xz
  [../]
  [./s_yy]
    type = PointValue
    point = '0 0 0'
    variable = stress_yy
  [../]
  [./s_yz]
    type = PointValue
    point = '0 0 0'
    variable = stress_yz
  [../]
  [./s_zz]
    type = PointValue
    point = '0 0 0'
    variable = stress_zz
  [../]
  [./f0]
    type = PointValue
    point = '0 0 0'
    variable = f0
  [../]
  [./f1]
    type = PointValue
    point = '0 0 0'
    variable = f1
  [../]
  [./f2]
    type = PointValue
    point = '0 0 0'
    variable = f2
  [../]
  [./int0]
    type = PointValue
    point = '0 0 0'
    variable = int0
  [../]
  [./int1]
    type = PointValue
    point = '0 0 0'
    variable = int1
  [../]
  [./int2]
    type = PointValue
    point = '0 0 0'
    variable = int2
  [../]
[]

[UserObjects]
  [./simple0]
    type = SolidMechanicsPlasticSimpleTester
    a = 0
    b = 1
    strength = 1
    yield_function_tolerance = 1.0E-9
    internal_constraint_tolerance = 1.0E-9
  [../]
  [./simple1]
    type = SolidMechanicsPlasticSimpleTester
    a = 1
    b = 0
    strength = 1
    yield_function_tolerance = 1.0E-9
    internal_constraint_tolerance = 1.0E-9
  [../]
  [./simple2]
    type = SolidMechanicsPlasticSimpleTester
    a = 1
    b = 1
    strength = 3
    yield_function_tolerance = 1.0E-9
    internal_constraint_tolerance = 1.0E-9
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    block = 0
    fill_method = symmetric_isotropic
    C_ijkl = '0 0.5E6'
  [../]
  [./strain]
    type = ComputeFiniteStrain
    block = 0
    displacements = 'disp_x disp_y disp_z'
  [../]
  [./multi]
    type = ComputeMultiPlasticityStress
    block = 0
    ep_plastic_tolerance = 1E-9
    plastic_models = 'simple0 simple1 simple2'
    max_NR_iterations = 2
    min_stepsize = 1
    debug_fspb = crash
    debug_jac_at_stress = '10 0 0 0 10 0 0 0 10'
    debug_jac_at_pm = '1 1'
    debug_jac_at_intnl = '1 1'
    debug_stress_change = 1E-5
    debug_pm_change = '1E-6 1E-6'
    debug_intnl_change = '1E-6 1E-6'
  [../]
[]


[Executioner]
  end_time = 1
  dt = 1
  type = Transient
[]


[Outputs]
  file_base = three_surface11
  exodus = false
  [./csv]
    type = CSV
    [../]
[]

(test/tests/geomsearch/3d_moving_penetration/pl_test1q.i)

[GlobalParams]
  order = SECOND
  family = LAGRANGE
[]

[Mesh]
  file = pl_test1q.e
  displacements = 'disp_x disp_y disp_z'
[]

[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
[]

[AuxVariables]
  [./distance]
  [../]
  [./tangential_distance]
  [../]
  [./normal_x]
  [../]
  [./normal_y]
  [../]
  [./normal_z]
  [../]
  [./closest_point_x]
  [../]
  [./closest_point_y]
  [../]
  [./closest_point_z]
  [../]
  [./element_id]
  [../]
  [./side]
  [../]
[]

[Kernels]
  [./diff_x]
    type = Diffusion
    variable = disp_x
  [../]
  [./diff_y]
    type = Diffusion
    variable = disp_y
  [../]
  [./diff_z]
    type = Diffusion
    variable = disp_z
  [../]
[]

[AuxKernels]
  [./penetrate]
    type = PenetrationAux
    variable = distance
    boundary = 11            #secondary
    paired_boundary = 12     #primary
  [../]

  [./penetrate2]
    type = PenetrationAux
    variable = distance
    boundary = 12            #secondary
    paired_boundary = 11     #primary
  [../]

  [./penetrate3]
    type = PenetrationAux
    variable = tangential_distance
    boundary = 11
    paired_boundary = 12
    quantity = tangential_distance
  [../]

  [./penetrate4]
    type = PenetrationAux
    variable = tangential_distance
    boundary = 12
    paired_boundary = 11
    quantity = tangential_distance
  [../]

  [./penetrate5]
    type = PenetrationAux
    variable = normal_x
    boundary = 11
    paired_boundary = 12
    quantity = normal_x
  [../]

  [./penetrate6]
    type = PenetrationAux
    variable = normal_x
    boundary = 12
    paired_boundary = 11
    quantity = normal_x
  [../]

  [./penetrate7]
    type = PenetrationAux
    variable = normal_y
    boundary = 11
    paired_boundary = 12
    quantity = normal_y
  [../]

  [./penetrate8]
    type = PenetrationAux
    variable = normal_y
    boundary = 12
    paired_boundary = 11
    quantity = normal_y
  [../]

  [./penetrate9]
    type = PenetrationAux
    variable = normal_z
    boundary = 11
    paired_boundary = 12
    quantity = normal_z
  [../]

  [./penetrate10]
    type = PenetrationAux
    variable = normal_z
    boundary = 12
    paired_boundary = 11
    quantity = normal_z
  [../]

  [./penetrate11]
    type = PenetrationAux
    variable = closest_point_x
    boundary = 11
    paired_boundary = 12
    quantity = closest_point_x
  [../]

  [./penetrate12]
    type = PenetrationAux
    variable = closest_point_x
    boundary = 12
    paired_boundary = 11
    quantity = closest_point_x
  [../]

  [./penetrate13]
    type = PenetrationAux
    variable = closest_point_y
    boundary = 11
    paired_boundary = 12
    quantity = closest_point_y
  [../]

  [./penetrate14]
    type = PenetrationAux
    variable = closest_point_y
    boundary = 12
    paired_boundary = 11
    quantity = closest_point_y
  [../]

  [./penetrate15]
    type = PenetrationAux
    variable = closest_point_z
    boundary = 11
    paired_boundary = 12
    quantity = closest_point_z
  [../]

  [./penetrate16]
    type = PenetrationAux
    variable = closest_point_z
    boundary = 12
    paired_boundary = 11
    quantity = closest_point_z
  [../]

  [./penetrate17]
    type = PenetrationAux
    variable = element_id
    boundary = 11
    paired_boundary = 12
    quantity = element_id
  [../]

  [./penetrate18]
    type = PenetrationAux
    variable = element_id
    boundary = 12
    paired_boundary = 11
    quantity = element_id
  [../]

  [./penetrate19]
    type = PenetrationAux
    variable = side
    boundary = 11
    paired_boundary = 12
    quantity = side
  [../]

  [./penetrate20]
    type = PenetrationAux
    variable = side
    boundary = 12
    paired_boundary = 11
    quantity = side
  [../]
[]

[BCs]
  [./b1x]
    type = DirichletBC
    variable = disp_x
    boundary = 1
    value = 0
  [../]

  [./b1y]
    type = DirichletBC
    variable = disp_y
    boundary = 1
    value = 0
  [../]

  [./b1z]
    type = DirichletBC
    variable = disp_z
    boundary = 1
    value = 0
  [../]

  [./b2x]
    type = DirichletBC
    variable = disp_x
    boundary = 2
    value = 0
  [../]

  [./b2y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 2
    function = disp_y
  [../]

  [./b2z]
    type = DirichletBC
    variable = disp_z
    boundary = 2
    value = 0
  [../]
[]

[Functions]
  [./disp_y]
    type = PiecewiseLinear
    x = '0.0 0.25 0.75 1.0'
    y = '0.0 0.7 -0.7  0.0'
  [../]
[]

[Executioner]
  type = Transient

  solve_type = 'PJFNK'
  petsc_options = '-snes_ksp_ew'

  nl_abs_tol = 1e-7
  l_max_its = 10

  start_time = 0.0
  dt = 0.05
  end_time = 1.0
  [./Quadrature]
    order = THIRD
  [../]
[]

[Outputs]
  file_base = pl_test1q_out
  exodus = true
[]

(modules/solid_mechanics/test/tests/tensile/small_deform5.i)

# checking for small deformation
# A single element is incrementally stretched in the in the z and x directions
# This causes the return direction to be along the hypersurface sigma_I = sigma_II,
# and the resulting stresses are checked to lie on the expected yield surface
#
# tensile_strength is set to 1Pa, tip_smoother = 0.5, edge_smoother = 25degrees
# Then A + B + C = 0.609965


[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]

  [GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]

[Physics/SolidMechanics/QuasiStatic]
  [./all]
    add_variables = true
    incremental = true
    strain = finite
    generate_output = 'stress_xx stress_xy stress_xz stress_yy stress_yz stress_zz'
  [../]
[]

[BCs]
  [./x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'front back'
    function = '0.25E-6*x*t*t'
  [../]
  [./y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'front back'
    function = '0'
  [../]
  [./z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'front back'
    function = '0.25E-6*z*t*t'
  [../]
[]

[AuxVariables]
  [./yield_fcn]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]

[AuxKernels]
  [./yield_fcn_auxk]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 0
    variable = yield_fcn
  [../]
[]

[Postprocessors]
  [./s_xx]
    type = PointValue
    point = '0 0 0'
    variable = stress_xx
  [../]
  [./s_xy]
    type = PointValue
    point = '0 0 0'
    variable = stress_xy
  [../]
  [./s_xz]
    type = PointValue
    point = '0 0 0'
    variable = stress_xz
  [../]
  [./s_yy]
    type = PointValue
    point = '0 0 0'
    variable = stress_yy
  [../]
  [./s_yz]
    type = PointValue
    point = '0 0 0'
    variable = stress_yz
  [../]
  [./s_zz]
    type = PointValue
    point = '0 0 0'
    variable = stress_zz
  [../]
  [./f]
    type = PointValue
    point = '0 0 0'
    variable = yield_fcn
  [../]
[]

[UserObjects]
  [./ts]
    type = SolidMechanicsHardeningCubic
    value_0 = 1
  [../]
  [./mc]
    type = SolidMechanicsPlasticTensile
    tensile_strength = ts
    yield_function_tolerance = 1E-6
    tensile_tip_smoother = 0.5
    internal_constraint_tolerance = 1E-5
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    block = 0
    fill_method = symmetric_isotropic
    C_ijkl = '0 2.0E6'
  [../]
  [./mc]
    type = ComputeMultiPlasticityStress
    block = 0
    ep_plastic_tolerance = 1E-5
    plastic_models = mc
    debug_fspb = crash
  [../]
[]


[Executioner]
  end_time = 10
  dt = 1
  type = Transient
[]


[Outputs]
  file_base = small_deform5
  exodus = false
  [./csv]
    type = CSV
    [../]
[]

(modules/solid_mechanics/test/tests/mohr_coulomb/random_planar.i)

# apply many random large deformations, checking that the algorithm returns correctly to
# the yield surface each time.


[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 100
  ny = 1250
  nz = 1
  xmin = 0
  xmax = 100
  ymin = 0
  ymax = 1250
  zmin = 0
  zmax = 1
[]


[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
[]

[Kernels]
  [SolidMechanics]
    displacements = 'disp_x disp_y disp_z'
  [../]
[]


[ICs]
  [./x]
    type = RandomIC
    min = -0.1
    max = 0.1
    variable = disp_x
  [../]
  [./y]
    type = RandomIC
    min = -0.1
    max = 0.1
    variable = disp_y
  [../]
  [./z]
    type = RandomIC
    min = -0.1
    max = 0.1
    variable = disp_z
  [../]
[]

[BCs]
  [./x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'front back'
    function = '0'
  [../]
  [./y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'front back'
    function = '0'
  [../]
  [./z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'front back'
    function = '0'
  [../]
[]

[AuxVariables]
  [./yield_fcn]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./iter]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]

[AuxKernels]
  [./yield_fcn_auxk]
    type = MaterialStdVectorAux
    index = 0
    property = plastic_yield_function
    variable = yield_fcn
  [../]
  [./iter]
    type = MaterialRealAux
    property = plastic_NR_iterations
    variable = iter
  [../]
[]

[Postprocessors]
  [./yield_fcn_at_zero]
    type = PointValue
    point = '0 0 0'
    variable = yield_fcn
    outputs = 'console'
  [../]
  [./should_be_zero]
    type = FunctionValuePostprocessor
    function = should_be_zero_fcn
  [../]
  [./av_iter]
    type = ElementAverageValue
    variable = iter
    outputs = 'console'
  [../]
[]

[Functions]
  [./should_be_zero_fcn]
    type = ParsedFunction
    expression = 'if(a<1E-3,0,a)'
    symbol_names = 'a'
    symbol_values = 'yield_fcn_at_zero'
  [../]
[]

[UserObjects]
  [./coh]
    type = SolidMechanicsHardeningCubic
    value_0 = 1000
    value_residual = 100
    internal_limit = 4
  [../]
  [./phi]
    type = SolidMechanicsHardeningCubic
    value_0 = 0.8
    value_residual = 0.3
    internal_limit = 2
  [../]
  [./psi]
    type = SolidMechanicsHardeningConstant
    value = 15
    convert_to_radians = true
  [../]
  [./mc]
    type = SolidMechanicsPlasticMohrCoulombMulti
    cohesion = coh
    friction_angle = phi
    dilation_angle = psi
    yield_function_tolerance = 1E-3
    shift = 1E-10
    internal_constraint_tolerance = 1E-6
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    block = 0
    fill_method = symmetric_isotropic
    C_ijkl = '0.7E7 1E7'
  [../]
  [./strain]
    type = ComputeFiniteStrain
    block = 0
    displacements = 'disp_x disp_y disp_z'
  [../]
  [./mc]
    type = ComputeMultiPlasticityStress
    block = 0
    ep_plastic_tolerance = 1E-10
    plastic_models = mc
    min_stepsize = 1
    max_stepsize_for_dumb = 1
  [../]
[]


[Executioner]
  end_time = 1
  dt = 1
  type = Transient
[]


[Outputs]
  file_base = random_planar
  exodus = false
  [./csv]
    type = CSV
    [../]
[]

(modules/combined/test/tests/elastic_patch/elastic_patch_rspherical.i)

#
# Patch test for 1D spherical elements
#
# The 1D mesh is pinned at x=0.  The displacement at the outer node is set to
#   3e-3*X where X is the x-coordinate of that node.  That gives a strain of
#   3e-3 for the x, y, and z directions.
#
# Young's modulus is 1e6, and Poisson's ratio is 0.25.  This gives:
#
# Stress xx, yy, zz = E/(1+nu)/(1-2nu)*strain*((1-nu) + nu + nu) = 6000
#

[GlobalParams]
  displacements = 'disp_x'
  temperature = temp
[]

[Mesh]
  file = elastic_patch_rspherical.e
  coord_type = RSPHERICAL
[]

[Variables]
  [temp]
    initial_condition = 117.56
  []
[]

[Physics/SolidMechanics/QuasiStatic/All]
  strain = SMALL
  incremental = true
  add_variables = true
  generate_output = 'stress_xx stress_yy stress_zz'
[]

[Kernels]
  [heat]
    type = TimeDerivative
    variable = temp
  []
[]

[BCs]
  [ur]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = '1 2'
    function = '3e-3*x'
  []
[]

[Materials]
  [elasticity_tensor]
    type = ComputeIsotropicElasticityTensor
    youngs_modulus = 1e6
    poissons_ratio = 0.25
  []
  [stress]
    type = ComputeStrainIncrementBasedStress
  []

  [density]
    type = Density
    density = 0.283
    outputs = all
  []
[]

[Executioner]
  type = Transient
  solve_type = 'PJFNK'

  end_time = 1.0
[]

[Outputs]
  exodus = true
[]

(modules/combined/test/tests/combined_plasticity_temperature/ad_plasticity_temperature_dep_yield.i)

#
# This is a test of the piece-wise linear strain hardening model using the
# small strain formulation.  This test exercises the temperature-dependent
# yield stress.
#
# Test procedure:
# 1. The element is pulled to and then beyond the yield stress for a given
# temperature.
# 2. The displacement is then constant while the temperature increases and
# the yield stress decreases.  This results in a lower stress with more
# plastic strain.
# 3. The temperature decreases beyond its original value giving a higher
# yield stress.  The displacement increases, causing increases stress to
# the new yield stress.
# 4. The temperature and yield stress are constant with increasing
# displacement giving a constant stress and more plastic strain.
#
# Plotting total_strain_yy on the x axis and stress_yy on the y axis shows
# the stress history in a clear way.
#
#  s |
#  t |            *****
#  r |           *
#  e |   *****  *
#  s |  *    * *
#  s | *     *
#    |*
#    +------------------
#           total strain
#

[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
[]

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]

[Physics/SolidMechanics/QuasiStatic]
  [./all]
    strain = FINITE
    incremental = true
    add_variables = true
    generate_output = 'stress_yy plastic_strain_xx plastic_strain_yy plastic_strain_zz'
    use_automatic_differentiation = true
  [../]
[]

[Variables]
  [./temp]
    order = FIRST
    family = LAGRANGE
  [../]
[]

[Functions]
  [./top_pull]
    type = PiecewiseLinear
    x = '0 1     2    4    5    6'
    y = '0 0.025 0.05 0.05 0.06 0.085'
  [../]
  [./yield]
    type = PiecewiseLinear
    x = '400 500 600'
    y = '6e3 5e3 4e3'
  [../]
  [./temp]
    type = PiecewiseLinear
    x = '0   1   2   3   4'
    y = '500 500 500 600 400'
  [../]
[]

[Kernels]
  [./heat]
    type = ADHeatConduction
    variable = temp
  [../]
[]

[BCs]
  [./y_pull_function]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = top
    function = top_pull
  [../]
  [./x_bot]
    type = DirichletBC
    variable = disp_x
    boundary = left
    value = 0.0
  [../]
  [./y_bot]
    type = DirichletBC
    variable = disp_y
    boundary = bottom
    value = 0.0
  [../]
  [./z_bot]
    type = DirichletBC
    variable = disp_z
    boundary = back
    value = 0.0
  [../]
  [./temp]
    type = FunctionDirichletBC
    variable = temp
    function = temp
    boundary = left
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ADComputeIsotropicElasticityTensor
    block = 0
    youngs_modulus = 2.0e5
    poissons_ratio = 0.3
  [../]
  [./creep_plas]
    type = ADComputeMultipleInelasticStress
    block = 0
    inelastic_models = 'plasticity'
    max_iterations = 50
    absolute_tolerance = 1e-05
  [../]
  [./plasticity]
    type = ADIsotropicPlasticityStressUpdate
    block = 0
    hardening_constant = 0
    yield_stress_function = yield
    temperature = temp
  [../]
  [./heat_conduction]
    type = ADHeatConductionMaterial
    block = 0
    specific_heat = 1
    thermal_conductivity = 1
  [../]
[]

[Executioner]
  type = Transient
  solve_type = 'NEWTON'

  petsc_options_iname = '-pc_type'
  petsc_options_value = 'lu'

  line_search = 'none'

  l_max_its = 100
  nl_max_its = 100
  nl_rel_tol = 1e-12
  nl_abs_tol = 1e-10
  l_tol = 1e-9

  start_time = 0.0
  end_time = 6
  dt = 0.1
[]

[Outputs]
  exodus = true
[]

(modules/contact/test/tests/pdass_problems/ironing_penalty.i)

[GlobalParams]
  volumetric_locking_correction = true
  displacements = 'disp_x disp_y'
[]

[Mesh]
  [input_file]
    type = FileMeshGenerator
    file = iron.e
  []
  [secondary]
    type = LowerDBlockFromSidesetGenerator
    new_block_id = 10001
    new_block_name = 'secondary_lower'
    sidesets = '10'
    input = input_file
  []
  [primary]
    type = LowerDBlockFromSidesetGenerator
    new_block_id = 10000
    sidesets = '20'
    new_block_name = 'primary_lower'
    input = secondary
  []
  patch_update_strategy = auto
  patch_size = 20
  allow_renumbering = false
[]

[Variables]
  [disp_x]
  []
  [disp_y]
  []
[]

[AuxVariables]
  [penalty_normal_pressure]
    order = FIRST
    family = LAGRANGE
  []
  [penalty_frictional_pressure]
    order = FIRST
    family = LAGRANGE
  []
  [accumulated_slip_one]
    order = FIRST
    family = LAGRANGE
  []
  [tangential_vel_one]
    order = FIRST
    family = LAGRANGE
  []
  [real_weighted_gap]
    order = FIRST
    family = LAGRANGE
  []
  [stress_xx]
    order = CONSTANT
    family = MONOMIAL
  []
  [stress_yy]
    order = CONSTANT
    family = MONOMIAL
  []
  [stress_xy]
    order = CONSTANT
    family = MONOMIAL
  []
  [saved_x]
  []
  [saved_y]
  []
  [diag_saved_x]
  []
  [diag_saved_y]
  []
  [von_mises]
    order = CONSTANT
    family = MONOMIAL
  []
[]

[Functions]
  [disp_ramp_vert]
    type = PiecewiseLinear
    x = '0. 2. 8.'
    y = '0. -1.0 -1.0'
  []
  [disp_ramp_horz]
    type = PiecewiseLinear
    x = '0. 8.'
    y = '0. 8.'
  []
[]

[Kernels]
  [TensorMechanics]
    use_displaced_mesh = true
    save_in = 'saved_x saved_y'
    block = '1 2'
    strain = FINITE
  []
[]

[AuxKernels]
  [penalty_normal_pressure_auxk]
    type = PenaltyMortarUserObjectAux
    variable = penalty_normal_pressure
    user_object = friction_uo
    contact_quantity = normal_pressure
  []
  [penalty_frictional_pressure_auxk]
    type = PenaltyMortarUserObjectAux
    variable = penalty_frictional_pressure
    user_object = friction_uo
    contact_quantity = tangential_pressure_one
  []
  [penalty_accumulated_slip_auxk]
    type = PenaltyMortarUserObjectAux
    variable = accumulated_slip_one
    user_object = friction_uo
    contact_quantity = accumulated_slip_one
  []
  [penalty_tangential_vel_auxk]
    type = PenaltyMortarUserObjectAux
    variable = tangential_vel_one
    user_object = friction_uo
    contact_quantity = tangential_velocity_one
  []
  [real_weighted_gap_auxk]
    type = PenaltyMortarUserObjectAux
    variable = real_weighted_gap
    user_object = friction_uo
    contact_quantity = normal_gap
  []
  [stress_xx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xx
    index_i = 0
    index_j = 0
    execute_on = timestep_end
    block = '1 2'
  []
  [stress_yy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yy
    index_i = 1
    index_j = 1
    execute_on = timestep_end
    block = '1 2'
  []
  [stress_xy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xy
    index_i = 0
    index_j = 1
    execute_on = timestep_end
    block = '1 2'
  []
  [von_mises_kernel]
    #Calculates the von mises stress and assigns it to von_mises
    type = RankTwoScalarAux
    variable = von_mises
    rank_two_tensor = stress
    execute_on = timestep_end
    scalar_type = VonMisesStress
    block = '1 2'
  []
[]

[VectorPostprocessors]
  [penalty_normal_pressure]
    type = NodalValueSampler
    variable = penalty_normal_pressure
    boundary = 10
    sort_by = id
  []
[]

[BCs]
  [bot_x_disp]
    type = DirichletBC
    variable = disp_x
    boundary = '40'
    value = 0.0
    preset = false
  []
  [bot_y_disp]
    type = DirichletBC
    variable = disp_y
    boundary = '40'
    value = 0.0
    preset = false
  []
  [top_y_disp]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = '30'
    function = disp_ramp_vert
    preset = false
  []
  [top_x_disp]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = '30'
    function = disp_ramp_horz
    preset = false
  []
[]

[Materials]
  [stuff1_elas_tens]
    type = ComputeIsotropicElasticityTensor
    block = '2'
    youngs_modulus = 6896
    poissons_ratio = 0.32
  []
  [stuff1_strain]
    type = ComputeFiniteStrain
    block = '2'
  []
  [stuff1_stress]
    type = ComputeFiniteStrainElasticStress
    block = '2'
  []
  [stuff2_elas_tens]
    type = ComputeIsotropicElasticityTensor
    block = '1'
    youngs_modulus = 689.6
    poissons_ratio = 0.32
  []
  [stuff2_strain]
    type = ComputeFiniteStrain
    block = '1'
  []
  [stuff2_stress]
    type = ComputeFiniteStrainElasticStress
    block = '1'
  []
[]

[Executioner]
  type = Transient
  solve_type = 'PJFNK'

  petsc_options = '-snes_ksp_ew'
  petsc_options_iname = '-pc_type -pc_factor_mat_solver_type'
  petsc_options_value = 'lu     superlu_dist'
  line_search = 'none'

  nl_abs_tol = 1e-7
  nl_rel_tol = 1e-7
  l_tol = 1e-6

  l_max_its = 50
  nl_max_its = 30

  start_time = 0.0
  end_time = 6.5

  dt = 0.0125
  dtmin = 1e-5
  [Predictor]
    type = SimplePredictor
    scale = 1.0
  []
[]

[Preconditioning]
  [SMP]
    type = SMP
    full = true
  []
[]

[Outputs]
  print_linear_residuals = true
  perf_graph = true
  exodus = true
  csv = true
  [chkfile]
    type = CSV
    start_time = 0.0
    execute_vector_postprocessors_on = FINAL
  []

  [console]
    type = Console
    max_rows = 5
  []
[]

[Debug]
  show_var_residual_norms = true
[]

[UserObjects]
  [friction_uo]
    type = PenaltyFrictionUserObject
    primary_boundary = 20
    secondary_boundary = 10
    primary_subdomain = 10000
    secondary_subdomain = 10001
    disp_x = disp_x
    disp_y = disp_y
    friction_coefficient = 0.1 # with 2.0 works
    secondary_variable = disp_x
    penalty = 1e5
    penalty_friction = 1e4
    use_physical_gap = true
  []
[]

[Constraints]
  [x]
    type = NormalMortarMechanicalContact
    primary_boundary = 20
    secondary_boundary = 10
    primary_subdomain = 10000
    secondary_subdomain = 10001
    secondary_variable = disp_x
    component = x
    use_displaced_mesh = true
    compute_lm_residuals = false
    weighted_gap_uo = friction_uo
  []
  [y]
    type = NormalMortarMechanicalContact
    primary_boundary = 20
    secondary_boundary = 10
    primary_subdomain = 10000
    secondary_subdomain = 10001
    secondary_variable = disp_y
    component = y
    use_displaced_mesh = true
    compute_lm_residuals = false
    weighted_gap_uo = friction_uo
  []
  [t_x]
    type = TangentialMortarMechanicalContact
    primary_boundary = 20
    secondary_boundary = 10
    primary_subdomain = 10000
    secondary_subdomain = 10001
    secondary_variable = disp_x
    component = x
    use_displaced_mesh = true
    compute_lm_residuals = false
    weighted_velocities_uo = friction_uo
  []
  [t_y]
    type = TangentialMortarMechanicalContact
    primary_boundary = 20
    secondary_boundary = 10
    primary_subdomain = 10000
    secondary_subdomain = 10001
    secondary_variable = disp_y
    component = y
    use_displaced_mesh = true
    compute_lm_residuals = false
    weighted_velocities_uo = friction_uo
  []
[]

(test/tests/postprocessors/pps_interval/pps_bad_interval3.i)

[Mesh]
  file = square-2x2-nodeids.e
  # This test can only be run with renumering disabled, so the
  # NodalVariableValue postprocessor's node id is well-defined.
  allow_renumbering = false
[]

[Variables]
  active = 'u v'

  [./u]
    order = SECOND
    family = LAGRANGE
  [../]

  [./v]
    order = SECOND
    family = LAGRANGE
  [../]
[]

[Functions]
  active = 'force_fn exact_fn left_bc'

  [./force_fn]
    type = ParsedFunction
    expression = '1-x*x+2*t'
  [../]

  [./exact_fn]
    type = ParsedFunction
    expression = '(1-x*x)*t'
  [../]

  [./left_bc]
    type = ParsedFunction
    expression = t
  [../]
[]

[Kernels]
  active = '
    time_u diff_u ffn_u
    time_v diff_v'

  [./time_u]
    type = TimeDerivative
    variable = u
  [../]

  [./diff_u]
    type = Diffusion
    variable = u
  [../]

  [./ffn_u]
    type = BodyForce
    variable = u
    function = force_fn
  [../]

  [./time_v]
    type = TimeDerivative
    variable = v
  [../]

  [./diff_v]
    type = Diffusion
    variable = v
  [../]
[]

[BCs]
  active = 'all_u left_v right_v'

  [./all_u]
    type = FunctionDirichletBC
    variable = u
    boundary = '1'
    function = exact_fn
  [../]

  [./left_v]
    type = FunctionDirichletBC
    variable = v
    boundary = '3'
    function = left_bc
  [../]

  [./right_v]
    type = DirichletBC
    variable = v
    boundary = '2'
    value = 0
  [../]
[]

[Postprocessors]
  active = 'l2 node1 node4'

  [./l2]
    type = ElementL2Error
    variable = u
    function = exact_fn
  [../]

  [./node1]
    type = NodalVariableValue
    variable = u
    nodeid = 15
  [../]

  [./node4]
    type = NodalVariableValue
    variable = v
    nodeid = 10
  [../]
[]

[Executioner]
  type = Transient

  solve_type = 'PJFNK'

  dt = 0.1
  start_time = 0
  end_time = 1
[]

[Outputs]
  execute_on = 'timestep_end'
  file_base = ignore_bad
  time_step_interval = 2
  exodus = true
[]

(modules/solid_mechanics/test/tests/1D_axisymmetric/axisymmetric_gps_small.i)

#
# This test checks the generalized plane strain using small strain formulation.
# The model consists of two sets of line elements. One undergoes a temperature rise of 100 with
# the other seeing a temperature rise of 300.  Young's modulus is 3600, and
# Poisson's ratio is 0.2.  The thermal expansion coefficient is 1e-8.  All
# nodes are constrained against movement.
#
# For plane strain case, i.e., without constraining the strain_yy to be uniform,
# the stress solution would be [-6e-3, -6e-3, -6e-3] and [-18e-3, -18e-3, -18e-3] (xx, yy, zz).
# The generalized plane strain kernels work to balance the force in y direction.
#
# With out of plane strain of 3e-6, the stress solution becomes
# [-3e-3, 6e-3, -3e-3] and [-15e-3, -6e-3, -15e-3] (xx, yy, zz).  This gives
# a domain integral of out-of-plane stress to be zero.
#

[GlobalParams]
  displacements = disp_x
  scalar_out_of_plane_strain = scalar_strain_yy
[]

[Problem]
  coord_type = RZ
[]

[Mesh]
  file = lines.e
[]

[Variables]
  [disp_x]
  []
  [temp]
    initial_condition = 580.0
  []
  [scalar_strain_yy]
    order = FIRST
    family = SCALAR
  []
[]

[Functions]
  [temp100]
    type = PiecewiseLinear
    x = '0   1'
    y = '580 680'
  []
  [temp300]
    type = PiecewiseLinear
    x = '0   1'
    y = '580 880'
  []
[]

[Kernels]
  [heat]
    type = Diffusion
    variable = temp
  []
[]

[Physics/SolidMechanics/QuasiStatic]
  [gps]
    planar_formulation = GENERALIZED_PLANE_STRAIN
    scalar_out_of_plane_strain = scalar_strain_yy
    strain = SMALL
    generate_output = 'strain_xx strain_yy strain_zz stress_xx stress_yy stress_zz'
    eigenstrain_names = eigenstrain
    temperature = temp
  []
[]

[BCs]
  [no_x]
    type = DirichletBC
    boundary = 1000
    value = 0
    variable = disp_x
  []
  [temp100]
    type = FunctionDirichletBC
    variable = temp
    function = temp100
    boundary = 2
  []
  [temp300]
    type = FunctionDirichletBC
    variable = temp
    function = temp300
    boundary = 3
  []
[]

[Materials]
  [elasticity_tensor]
    type = ComputeIsotropicElasticityTensor
    youngs_modulus = 3600
    poissons_ratio = 0.2
  []

  [thermal_strain]
    type = ComputeThermalExpansionEigenstrain
    thermal_expansion_coeff = 1e-8
    temperature = temp
    stress_free_temperature = 580
    eigenstrain_name = eigenstrain
  []

  [stress]
    type = ComputeLinearElasticStress
  []
[]

[Executioner]
  type = Transient
  solve_type = 'PJFNK'
  line_search = 'none'

  l_max_its = 50
  l_tol = 1e-08
  nl_max_its = 15
  nl_abs_tol = 1e-10
  start_time = 0
  end_time = 1
  num_steps = 1
[]

[Outputs]
  exodus = true
  console = true
[]

(modules/combined/test/tests/j2_plasticity_vs_LSH/j2_hard1_mod_optimised.i)

# Test designed to compare results and active time between SH/LinearStrainHardening
# material vs TM j2 plastic user object. As number of elements increases, TM
# active time increases at a much higher rate than SM. Testing at 4x4x4
# (64 elements).
#
# plot vm_stress vs intnl to see constant hardening
#
# Original test located at:
# solid_mechanics/tests/j2_plasticity/hard1.i

[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 4
  ny = 4
  nz = 4
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
  displacements = 'disp_x disp_y disp_z'
[]

[Variables]
  [disp_x]
    order = FIRST
    family = LAGRANGE
  []
  [disp_y]
    order = FIRST
    family = LAGRANGE
  []
  [disp_z]
    order = FIRST
    family = LAGRANGE
  []
[]

[Kernels]
  [TensorMechanics]
    displacements = 'disp_x disp_y disp_z'
  []
[]

[AuxVariables]
  [stress_zz]
    order = CONSTANT
    family = MONOMIAL
  []
  [intnl]
    order = CONSTANT
    family = MONOMIAL
  []
  [vm_stress]
    order = CONSTANT
    family = MONOMIAL
  []
  [eq_pl_strain]
    order = CONSTANT
    family = MONOMIAL
  []
[]

[AuxKernels]
  [stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zz
    index_i = 2
    index_j = 2
  []
  [intnl]
    type = MaterialStdVectorAux
    index = 0
    property = plastic_internal_parameter
    variable = intnl
  []
  [eq_pl_strain]
    type = RankTwoScalarAux
    rank_two_tensor = plastic_strain
    scalar_type = EffectiveStrain
    variable = eq_pl_strain
  []
  [vm_stress]
    type = RankTwoScalarAux
    rank_two_tensor = stress
    scalar_type = VonMisesStress
    variable = vm_stress
  []
[]

[BCs]
  [left]
    type = DirichletBC
    variable = disp_x
    boundary = left
    value = 0.0
  []
  [bottom]
    type = DirichletBC
    variable = disp_y
    boundary = bottom
    value = 0.0
  []
  [back]
    type = DirichletBC
    variable = disp_z
    boundary = back
    value = 0.0
  []
  [z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = front
    function = 't/60'
  []
[]

[UserObjects]
  [str]
    type = TensorMechanicsHardeningConstant
    value = 2.4e2
  []
  [j2]
    type = TensorMechanicsPlasticJ2
    yield_strength = str
    yield_function_tolerance = 1E-3
    internal_constraint_tolerance = 1E-9
  []
[]

[Materials]
  [elasticity_tensor]
    type = ComputeElasticityTensor
    block = 0
    fill_method = symmetric_isotropic
    #with E = 2.1e5 and nu = 0.3
    #Hooke's law: E-nu to Lambda-G
    C_ijkl = '121154 80769.2'
  []
  [strain]
    type = ComputeIncrementalStrain
    block = 0
    displacements = 'disp_x disp_y disp_z'
  []
  [mc]
    type = ComputeMultiPlasticityStress
    block = 0
    ep_plastic_tolerance = 1E-9
    plastic_models = j2
    perform_finite_strain_rotations = false
  []
[]

[Preconditioning]
  [andy]
    type = SMP
    full = true
  []
[]

[Executioner]
  type = Transient

  #Preconditioned JFNK (default)
  solve_type = NEWTON

  petsc_options = '-snes_ksp_ew'
  petsc_options_iname = '-ksp_gmres_restart'
  petsc_options_value = '101'

  #line_search = 'none'

  l_max_its = 100
  nl_max_its = 100
  nl_rel_tol = 1e-6
  nl_abs_tol = 1e-10
  l_tol = 1e-4
  start_time = 0.0
  end_time = 0.5
  dt = 0.5
[]

[Postprocessors]
  [stress_zz]
    type = ElementAverageValue
    variable = stress_zz
  []
  [intnl]
    type = ElementAverageValue
    variable = intnl
  []
  [eq_pl_strain]
    type = PointValue
    point = '0 0 0'
    variable = eq_pl_strain
  []
  [vm_stress]
    type = PointValue
    point = '0 0 0'
    variable = vm_stress
  []
[]

[Outputs]
  csv = true
  print_linear_residuals = false
  perf_graph = true
[]

(modules/heat_transfer/test/tests/gap_heat_transfer_htonly/1D.i)


[GlobalParams]
  order = SECOND
  family = LAGRANGE
[]

[Mesh]
  coord_type = RZ
  [fred]
    type = GeneratedMeshGenerator
    dim = 1
    nx = 25
    xmin = 0
    xmax = 1
    boundary_name_prefix = left
    elem_type = edge3
  []
  [wilma]
    type = GeneratedMeshGenerator
    dim = 1
    nx = 25
    xmin = 2
    xmax = 3
    boundary_id_offset = 10
    boundary_name_prefix = right
    elem_type = edge3
  []
  [combine]
    type = CombinerGenerator
    inputs = 'fred wilma'
  []
[]

[Functions]
  [temp]
    type = PiecewiseLinear
    x = '0   1   2'
    y = '100 200 200'
  []
[]

[Variables]
  [temp]
    initial_condition = 100
  []
[]

[Kernels]
  [heat]
    type = HeatConduction
    variable = temp
  []
[]

[BCs]
  [temp_far_left]
    type = FunctionDirichletBC
    boundary = left_left
    variable = temp
    function = temp
  []

  [temp_far_right]
    type = DirichletBC
    boundary = right_right
    variable = temp
    value = 100
  []
[]

[ThermalContact]
  [thermal_contact]
    type = GapHeatTransfer
    variable = temp
    primary = right_left
    secondary = left_right
    emissivity_primary = 0
    emissivity_secondary = 0
  []
[]

[Materials]
  [heat]
    type = HeatConductionMaterial
    specific_heat = 1.0
    thermal_conductivity = 1.0e6
  []
[]

[Executioner]
  type = Transient

  solve_type = 'PJFNK'

  petsc_options_iname = '-ksp_gmres_restart -pc_type -pc_hypre_type -pc_hypre_boomeramg_max_iter'
  petsc_options_value = '201                hypre    boomeramg      4'

  line_search = 'none'

  nl_abs_tol = 1e-3
  nl_rel_tol = 1e-12

  l_tol = 1e-8
  l_max_its = 100

  start_time = 0.0
  dt = 2e-1
  end_time = 2.0
[]

[Postprocessors]
  [temp_left]
    type = SideAverageValue
    boundary = left_right
    variable = temp
    execute_on = 'initial timestep_end'
  []

  [temp_right]
    type = SideAverageValue
    boundary = right_left
    variable = temp
    execute_on = 'initial timestep_end'
  []
[]

[Outputs]
  exodus = true
[]

(modules/peridynamics/test/tests/simple_tests/2D_small_strain_H1NOSPD.i)


[GlobalParams]
  displacements = 'disp_x disp_y'
[]

[Mesh]
  type = PeridynamicsMesh
  horizon_number = 3

  [./gmg]
    type = GeneratedMeshGenerator
    dim = 2
    nx = 8
    ny = 8
  [../]
  [./gpd]
    type = MeshGeneratorPD
    input = gmg
    retain_fe_mesh = false
  [../]
[]

[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
[]

[BCs]
  [./left_x]
    type = DirichletBC
    variable = disp_x
    boundary = 1003
    value = 0.0
  [../]
  [./left_y]
    type = DirichletBC
    variable = disp_y
    boundary = 1003
    value = 0.0
  [../]
  [./right_x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 1001
    function = '0.001*t'
  [../]
[]

[Modules/Peridynamics/Mechanics/Master]
  [./all]
    formulation = NONORDINARY_STATE
    stabilization = BOND_HORIZON_I
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeIsotropicElasticityTensor
    youngs_modulus = 2.1e8
    poissons_ratio = 0.3
  [../]
  [./strain]
    type = ComputePlaneSmallStrainNOSPD
    stabilization = BOND_HORIZON_I
  [../]
  [./stress]
    type = ComputeLinearElasticStress
  [../]
[]

[Preconditioning]
  [./SMP]
    type = SMP
    full = true
  [../]
[]

[Executioner]
  type = Transient
  solve_type = PJFNK
  line_search = none
  start_time = 0
  end_time = 1

  [./Quadrature]
    type = GAUSS_LOBATTO
    order = FIRST
  [../]
[]

[Outputs]
  file_base = 2D_small_strain_H1NOSPD
  exodus = true
[]

(modules/solid_mechanics/test/tests/drucker_prager/small_deform3_inner_tip.i)

# apply repeated stretches in x z directions, and smaller stretches along the y direction,
# so that sigma_I = sigma_II,
# which means that lode angle = 30deg.
# The allows yield surface in meridional plane to be mapped out


[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]


[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
[]

[Kernels]
  [SolidMechanics]
    displacements = 'disp_x disp_y disp_z'
  [../]
[]


[BCs]
  [./x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'front back'
    function = '1E-6*x*t'
  [../]
  [./y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'front back'
    function = '-1.7E-6*y*t'
  [../]
  [./z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'front back'
    function = '1E-6*z*t'
  [../]
[]

[AuxVariables]
  [./stress_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./mc_int]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./yield_fcn]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]

[AuxKernels]
  [./stress_xx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xx
    index_i = 0
    index_j = 0
  [../]
  [./stress_xy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xy
    index_i = 0
    index_j = 1
  [../]
  [./stress_xz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xz
    index_i = 0
    index_j = 2
  [../]
  [./stress_yy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yy
    index_i = 1
    index_j = 1
  [../]
  [./stress_yz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yz
    index_i = 1
    index_j = 2
  [../]
  [./stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zz
    index_i = 2
    index_j = 2
  [../]
  [./mc_int_auxk]
    type = MaterialStdVectorAux
    index = 0
    property = plastic_internal_parameter
    variable = mc_int
  [../]
  [./yield_fcn_auxk]
    type = MaterialStdVectorAux
    index = 0
    property = plastic_yield_function
    variable = yield_fcn
  [../]
[]

[Postprocessors]
  [./s_xx]
    type = PointValue
    point = '0 0 0'
    variable = stress_xx
  [../]
  [./s_xy]
    type = PointValue
    point = '0 0 0'
    variable = stress_xy
  [../]
  [./s_xz]
    type = PointValue
    point = '0 0 0'
    variable = stress_xz
  [../]
  [./s_yy]
    type = PointValue
    point = '0 0 0'
    variable = stress_yy
  [../]
  [./s_yz]
    type = PointValue
    point = '0 0 0'
    variable = stress_yz
  [../]
  [./s_zz]
    type = PointValue
    point = '0 0 0'
    variable = stress_zz
  [../]
  [./internal]
    type = PointValue
    point = '0 0 0'
    variable = mc_int
  [../]
  [./f]
    type = PointValue
    point = '0 0 0'
    variable = yield_fcn
  [../]
[]

[UserObjects]
  [./mc_coh]
    type = SolidMechanicsHardeningConstant
    value = 10
  [../]
  [./mc_phi]
    type = SolidMechanicsHardeningConstant
    value = 35
    convert_to_radians = true
  [../]
  [./mc_psi]
    type = SolidMechanicsHardeningConstant
    value = 5
    convert_to_radians = true
  [../]
  [./mc]
    type = SolidMechanicsPlasticDruckerPragerHyperbolic
    mc_cohesion = mc_coh
    mc_friction_angle = mc_phi
    mc_dilation_angle = mc_psi
    smoother = 8
    mc_interpolation_scheme = inner_tip
    yield_function_tolerance = 1E-7
    internal_constraint_tolerance = 1E-9
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    block = 0
    fill_method = symmetric_isotropic
    C_ijkl = '0 1E7'
  [../]
  [./strain]
    type = ComputeIncrementalStrain
    block = 0
    displacements = 'disp_x disp_y disp_z'
  [../]
  [./mc]
    type = ComputeMultiPlasticityStress
    block = 0
    ep_plastic_tolerance = 1E-13
    plastic_models = mc
    debug_fspb = crash
  [../]
[]


[Executioner]
  end_time = 10
  dt = 1
  type = Transient
[]


[Outputs]
  file_base = small_deform3_inner_tip
  exodus = false
  [./csv]
    type = CSV
    [../]
[]

(modules/solid_mechanics/test/tests/mohr_coulomb/uni_axial3.i)

[Mesh]
  type = FileMesh
  file = quarter_hole.e
[]

[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
[]

[Kernels]
  [SolidMechanics]
    displacements = 'disp_x disp_y disp_z'
  [../]
[]


[BCs]
  [./zmin_zzero]
    type = DirichletBC
    variable = disp_z
    boundary = 'zmin'
    value = '0'
  [../]
  [./xmin_xzero]
    type = DirichletBC
    variable = disp_x
    boundary = 'xmin'
    value = '0'
  [../]
  [./ymin_yzero]
    type = DirichletBC
    variable = disp_y
    boundary = 'ymin'
    value = '0'
  [../]
  [./ymax_disp]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'ymax'
    function = '-1E-4*t'
  [../]
[]

[AuxVariables]
  [./stress_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./mc_int]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./yield_fcn]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]

[AuxKernels]
  [./stress_xx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xx
    index_i = 0
    index_j = 0
  [../]
  [./stress_xy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xy
    index_i = 0
    index_j = 1
  [../]
  [./stress_xz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xz
    index_i = 0
    index_j = 2
  [../]
  [./stress_yy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yy
    index_i = 1
    index_j = 1
  [../]
  [./stress_yz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yz
    index_i = 1
    index_j = 2
  [../]
  [./stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zz
    index_i = 2
    index_j = 2
  [../]
  [./mc_int_auxk]
    type = MaterialStdVectorAux
    index = 0
    property = plastic_internal_parameter
    variable = mc_int
  [../]
  [./yield_fcn_auxk]
    type = MaterialStdVectorAux
    index = 0
    property = plastic_yield_function
    variable = yield_fcn
  [../]
[]

[Postprocessors]
  [./s_xx]
    type = PointValue
    point = '0.005 0.02 0.002'
    variable = stress_xx
  [../]
  [./s_xy]
    type = PointValue
    point = '0.005 0.02 0.002'
    variable = stress_xy
  [../]
  [./s_xz]
    type = PointValue
    point = '0.005 0.02 0.002'
    variable = stress_xz
  [../]
  [./s_yy]
    type = PointValue
    point = '0.005 0.02 0.002'
    variable = stress_yy
  [../]
  [./s_yz]
    type = PointValue
    point = '0.005 0.02 0.002'
    variable = stress_yz
  [../]
  [./s_zz]
    type = PointValue
    point = '0.005 0.02 0.002'
    variable = stress_zz
  [../]
  [./f]
    type = PointValue
    point = '0.005 0.02 0.002'
    variable = yield_fcn
  [../]
[]

[UserObjects]
  [./mc_coh]
    type = SolidMechanicsHardeningConstant
    value = 10E6
  [../]
  [./mc_phi]
    type = SolidMechanicsHardeningConstant
    value = 40
    convert_to_radians = true
  [../]
  [./mc_psi]
    type = SolidMechanicsHardeningConstant
    value = 40
    convert_to_radians = true
  [../]
  [./mc]
    type = SolidMechanicsPlasticMohrCoulomb
    cohesion = mc_coh
    friction_angle = mc_phi
    dilation_angle = mc_psi
    mc_tip_smoother = 0.01E6
    mc_edge_smoother = 29
    yield_function_tolerance = 1E-5
    internal_constraint_tolerance = 1E-11
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    block = 1
    fill_method = symmetric_isotropic
    C_ijkl = '0 5E9' # young = 10Gpa, poisson = 0.0
  [../]
  [./strain]
    type = ComputeIncrementalStrain
    block = 1
    displacements = 'disp_x disp_y disp_z'
  [../]
  [./mc]
    type = ComputeMultiPlasticityStress
    block = 1
    ep_plastic_tolerance = 1E-11
    plastic_models = mc
    max_NR_iterations = 1000
    debug_fspb = crash
  [../]
[]

# Preconditioning and Executioner options kindly provided by Andrea
[Preconditioning]
  [./andy]
    type = SMP
    full = true
  [../]
[]


[Executioner]
  end_time = 1.05
  dt = 0.1
  solve_type = NEWTON
  type = Transient

  nl_abs_tol = 1E-10
  nl_rel_tol = 1E-12
  l_tol = 1E-2
  l_max_its = 50
  nl_max_its = 400

  petsc_options_iname = '-pc_type -pc_asm_overlap -sub_pc_type -ksp_type -ksp_gmres_restart'
  petsc_options_value = ' asm      2              lu            gmres     200'
[]


[Outputs]
  file_base = uni_axial3
  exodus = true
  [./csv]
    type = CSV
    [../]
[]

(test/tests/restart/restart_add_variable/transient_with_stateful.i)

# We run a simple problem (5 time steps and save off the solution)
# In part2, we load the solution and solve a steady problem. The test check, that the initial state in part 2 is the same as the last state from part1

[Mesh]
  type = GeneratedMesh
  dim = 2
  xmin = -1
  xmax = 1
  ymin = -1
  ymax = 1
  nx = 10
  ny = 10
[]

[Functions]
  [./exact_fn]
    type = ParsedFunction
    expression = t*((x*x)+(y*y))
  [../]

  [./forcing_fn]
    type = ParsedFunction
    expression = -4+(x*x+y*y)
  [../]
[]

[Variables]
  [./u]
    order = FIRST
    family = LAGRANGE
  [../]
[]

[AuxVariables]
  [./diffusivity]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]

[AuxKernels]
  [./out_diffusivity]
    type = MaterialRealAux
    variable = diffusivity
    property = diffusivity
  [../]
[]

[Kernels]
  [./ie]
    type = TimeDerivative
    variable = u
  [../]

  [./diff]
    type = MatDiffusionTest
    variable = u
    prop_name = diffusivity
  [../]

  [./ffn]
    type = BodyForce
    variable = u
    function = forcing_fn
  [../]
[]

[BCs]
  [./all]
    type = FunctionDirichletBC
    variable = u
    boundary = '0 1 2 3'
    function = exact_fn
  [../]
[]

[Materials]
  [./mat]
    type = StatefulMaterial
    block = 0
    initial_diffusivity = 0.5
  [../]
[]

[Executioner]
  type = Transient
  solve_type = 'PJFNK'
  dt = 0.2
  start_time = 0
  num_steps = 5
[]

[Outputs]
  checkpoint = true
  [./out]
    type = Exodus
    elemental_as_nodal = true
    execute_elemental_on = none
  [../]
[]

(modules/contact/test/tests/frictional/single_point_2d/single_point_2d.i)

[Mesh]
  file = single_point_2d.e
[]

[GlobalParams]
  volumetric_locking_correction = false
  displacements = 'disp_x disp_y'
[]

[AuxVariables]
  [./penetration]
  [../]
  [./saved_x]
  [../]
  [./saved_y]
  [../]
  [./diag_saved_x]
  [../]
  [./diag_saved_y]
  [../]
  [./inc_slip_x]
  [../]
  [./inc_slip_y]
  [../]
  [./accum_slip_x]
  [../]
  [./accum_slip_y]
  [../]
[]

[Functions]
  [./horizontal_movement]
    type = ParsedFunction
    expression = t
  [../]
[]

[Physics/SolidMechanics/QuasiStatic]
  [./all]
    add_variables = true
    strain = FINITE
    save_in = 'saved_x saved_y'
    diag_save_in = 'diag_saved_x diag_saved_y'
  [../]
[]


[AuxKernels]
  [./incslip_x]
    type = PenetrationAux
    variable = inc_slip_x
    quantity = incremental_slip_x
    boundary = 3
    paired_boundary = 2
  [../]
  [./incslip_y]
    type = PenetrationAux
    variable = inc_slip_y
    quantity = incremental_slip_y
    boundary = 3
    paired_boundary = 2
  [../]
  [./accum_slip_x]
    type = AccumulateAux
    variable = accum_slip_x
    accumulate_from_variable = inc_slip_x
    execute_on = timestep_end
  [../]
  [./accum_slip_y]
    type = AccumulateAux
    variable = accum_slip_y
    accumulate_from_variable = inc_slip_y
    execute_on = timestep_end
  [../]
  [./penetration]
    type = PenetrationAux
    variable = penetration
    boundary = 3
    paired_boundary = 2
  [../]
[]

[BCs]
  [./botx]
    type = DirichletBC
    variable = disp_x
    boundary = 1
    value = 0.0
  [../]
  [./boty]
    type = DirichletBC
    variable = disp_y
    boundary = 1
    value = 0.0
  [../]
  [./botx2]
    type = DirichletBC
    variable = disp_x
    boundary = 2
    value = 0.0
  [../]
  [./boty2]
    type = DirichletBC
    variable = disp_y
    boundary = 2
    value = 0.0
  [../]
  [./topx]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 4
    function = horizontal_movement
  [../]
  [./topy]
    type = DirichletBC
    variable = disp_y
    boundary = 4
    value = -0.005
  [../]
[]

[Materials]
  [./bottom]
    type = ComputeIsotropicElasticityTensor
    block = '1'
    youngs_modulus = 1.0e9
    poissons_ratio = 0.3
  [../]
  [./top]
    type = ComputeIsotropicElasticityTensor
    block = '2'
    youngs_modulus = 1.0e6
    poissons_ratio = 0.3
  [../]
  [./stress]
    type = ComputeFiniteStrainElasticStress
    block = '1 2'
  [../]
[]

[Postprocessors]
  [./bot_react_x]
    type = NodalSum
    variable = saved_x
    boundary = 1
  [../]
  [./bot_react_y]
    type = NodalSum
    variable = saved_y
    boundary = 1
  [../]
  [./top_react_x]
    type = NodalSum
    variable = saved_x
    boundary = 4
  [../]
  [./top_react_y]
    type = NodalSum
    variable = saved_y
    boundary = 4
  [../]
  [./ref_resid_x]
    type = NodalL2Norm
    execute_on = timestep_end
    variable = saved_x
  [../]
  [./ref_resid_y]
    type = NodalL2Norm
    execute_on = timestep_end
    variable = saved_y
  [../]
[]

[Executioner]
  type = Transient
  solve_type = 'PJFNK'

  petsc_options_iname = '-pc_type -pc_factor_mat_solver_type'
  petsc_options_value = 'lu    superlu_dist'
  petsc_options = '-mat_superlu_dist_iterrefine -mat_superlu_dist_replacetinypivot'

  line_search = 'none'

  l_max_its = 100
  nl_max_its = 200
  dt = 0.001
  end_time = 0.01
  num_steps = 1000
  nl_rel_tol = 1e-8
  nl_abs_tol = 1e-8
  dtmin = 0.001
  l_tol = 1e-3
[]

[Outputs]
  exodus = true
  print_linear_residuals = true
  perf_graph = true
  [./console]
    type = Console
    max_rows = 5
  [../]
[]

[Contact]
  [./leftright]
    primary = 2
    secondary = 3
    model = coulomb
    friction_coefficient = '0.25'
  [../]
[]

[Dampers]
  [./contact_slip]
    type = ContactSlipDamper
    primary = '2'
    secondary = '3'
  [../]
[]

(modules/solid_mechanics/test/tests/multi/two_surface03.i)

# Plasticit models:
# SimpleTester with a = 0 and b = 1 and strength = 1
# SimpleTester with a = 1 and b = 1 and strength = 2
#
# Lame lambda = 0 (Poisson=0).  Lame mu = 0.5E6
#
# A single element is stretched by 3.0E-6m in z directions and 0.5E-6 in y direction.
# trial stress_zz = 3.0 and stress_yy = 0.5
#
# Then both  SimpleTesters should activate initially and return to the "corner" point
# (stress_zz = 1 = stress_yy), but then the plastic multiplier for SimpleTester2 will
# be negative, and so it will be deactivated, and the algorithm will return to
# stress_zz = 1, stress_yy = 0.5
# internal0 should be 2, and internal1 should be 0

[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]


[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
[]

[Kernels]
  [SolidMechanics]
    displacements = 'disp_x disp_y disp_z'
  [../]
[]


[BCs]
  [./x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'front back'
    function = '0E-6*x'
  [../]
  [./y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'front back'
    function = '0.5E-6*y'
  [../]
  [./z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'front back'
    function = '3E-6*z'
  [../]
[]

[AuxVariables]
  [./stress_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f0]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f1]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./int0]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./int1]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]

[AuxKernels]
  [./stress_xx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xx
    index_i = 0
    index_j = 0
  [../]
  [./stress_xy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xy
    index_i = 0
    index_j = 1
  [../]
  [./stress_xz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xz
    index_i = 0
    index_j = 2
  [../]
  [./stress_yy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yy
    index_i = 1
    index_j = 1
  [../]
  [./stress_yz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yz
    index_i = 1
    index_j = 2
  [../]
  [./stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zz
    index_i = 2
    index_j = 2
  [../]
  [./f0]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 0
    variable = f0
  [../]
  [./f1]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 1
    variable = f1
  [../]
  [./int0]
    type = MaterialStdVectorAux
    property = plastic_internal_parameter
    factor = 1E6
    index = 0
    variable = int0
  [../]
  [./int1]
    type = MaterialStdVectorAux
    property = plastic_internal_parameter
    factor = 1E6
    index = 1
    variable = int1
  [../]
[]

[Postprocessors]
  [./s_xx]
    type = PointValue
    point = '0 0 0'
    variable = stress_xx
  [../]
  [./s_xy]
    type = PointValue
    point = '0 0 0'
    variable = stress_xy
  [../]
  [./s_xz]
    type = PointValue
    point = '0 0 0'
    variable = stress_xz
  [../]
  [./s_yy]
    type = PointValue
    point = '0 0 0'
    variable = stress_yy
  [../]
  [./s_yz]
    type = PointValue
    point = '0 0 0'
    variable = stress_yz
  [../]
  [./s_zz]
    type = PointValue
    point = '0 0 0'
    variable = stress_zz
  [../]
  [./f0]
    type = PointValue
    point = '0 0 0'
    variable = f0
  [../]
  [./f1]
    type = PointValue
    point = '0 0 0'
    variable = f1
  [../]
  [./int0]
    type = PointValue
    point = '0 0 0'
    variable = int0
  [../]
  [./int1]
    type = PointValue
    point = '0 0 0'
    variable = int1
  [../]
[]

[UserObjects]
  [./simple1]
    type = SolidMechanicsPlasticSimpleTester
    a = 0
    b = 1
    strength = 1
    yield_function_tolerance = 1.0E-9
    internal_constraint_tolerance = 1.0E-9
  [../]
  [./simple2]
    type = SolidMechanicsPlasticSimpleTester
    a = 1
    b = 1
    strength = 2
    yield_function_tolerance = 1.0E-9
    internal_constraint_tolerance = 1.0E-9
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    block = 0
    fill_method = symmetric_isotropic
    C_ijkl = '0 0.5E6'
  [../]
  [./strain]
    type = ComputeFiniteStrain
    block = 0
    displacements = 'disp_x disp_y disp_z'
  [../]
  [./multi]
    type = ComputeMultiPlasticityStress
    block = 0
    ep_plastic_tolerance = 1E-9
    plastic_models = 'simple1 simple2'
    max_NR_iterations = 2
    min_stepsize = 1
    debug_fspb = crash
    debug_jac_at_stress = '10 0 0 0 10 0 0 0 10'
    debug_jac_at_pm = '1 1'
    debug_jac_at_intnl = '1 1'
    debug_stress_change = 1E-5
    debug_pm_change = '1E-6 1E-6'
    debug_intnl_change = '1E-6 1E-6'
  [../]
[]


[Executioner]
  end_time = 1
  dt = 1
  type = Transient
[]


[Outputs]
  file_base = two_surface03
  exodus = false
  [./csv]
    type = CSV
    [../]
[]

(modules/solid_mechanics/test/tests/multi/three_surface05.i)

# Plasticit models:
# SimpleTester0 with a = 0 and b = 1 and strength = 1
# SimpleTester1 with a = 1 and b = 0 and strength = 1
# SimpleTester2 with a = 1 and b = 1 and strength = 1.5
#
# Lame lambda = 0 (Poisson=0).  Lame mu = 0.5E6
#
# A single element is stretched by 1E-6m in y direction and 1.1E-6 in z direction.
# trial stress_yy = 1 and stress_zz = 1.1
#
# Then SimpleTester0 and SimpleTester2 should activate and the algorithm will return to
# the corner stress_yy=0.5, stress_zz=1
# However, this will mean internal0 < 0, so SimpleTester0 will be deactivated and
# then the algorithm will return to
# stress_yy=0.7, stress_zz=0.8
# internal0 should be 0.0, and internal2 should be 0.3

[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]


[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
[]

[Kernels]
  [SolidMechanics]
    displacements = 'disp_x disp_y disp_z'
  [../]
[]


[BCs]
  [./x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'front back'
    function = '0E-6*x'
  [../]
  [./y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'front back'
    function = '1.0E-6*y'
  [../]
  [./z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'front back'
    function = '1.1E-6*z'
  [../]
[]

[AuxVariables]
  [./stress_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f0]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f1]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f2]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./int0]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./int1]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./int2]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]

[AuxKernels]
  [./stress_xx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xx
    index_i = 0
    index_j = 0
  [../]
  [./stress_xy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xy
    index_i = 0
    index_j = 1
  [../]
  [./stress_xz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xz
    index_i = 0
    index_j = 2
  [../]
  [./stress_yy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yy
    index_i = 1
    index_j = 1
  [../]
  [./stress_yz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yz
    index_i = 1
    index_j = 2
  [../]
  [./stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zz
    index_i = 2
    index_j = 2
  [../]
  [./f0]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 0
    variable = f0
  [../]
  [./f1]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 1
    variable = f1
  [../]
  [./f2]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 2
    variable = f2
  [../]
  [./int0]
    type = MaterialStdVectorAux
    property = plastic_internal_parameter
    factor = 1E6
    index = 0
    variable = int0
  [../]
  [./int1]
    type = MaterialStdVectorAux
    property = plastic_internal_parameter
    factor = 1E6
    index = 1
    variable = int1
  [../]
  [./int2]
    type = MaterialStdVectorAux
    property = plastic_internal_parameter
    factor = 1E6
    index = 2
    variable = int2
  [../]
[]

[Postprocessors]
  [./s_xx]
    type = PointValue
    point = '0 0 0'
    variable = stress_xx
  [../]
  [./s_xy]
    type = PointValue
    point = '0 0 0'
    variable = stress_xy
  [../]
  [./s_xz]
    type = PointValue
    point = '0 0 0'
    variable = stress_xz
  [../]
  [./s_yy]
    type = PointValue
    point = '0 0 0'
    variable = stress_yy
  [../]
  [./s_yz]
    type = PointValue
    point = '0 0 0'
    variable = stress_yz
  [../]
  [./s_zz]
    type = PointValue
    point = '0 0 0'
    variable = stress_zz
  [../]
  [./f0]
    type = PointValue
    point = '0 0 0'
    variable = f0
  [../]
  [./f1]
    type = PointValue
    point = '0 0 0'
    variable = f1
  [../]
  [./f2]
    type = PointValue
    point = '0 0 0'
    variable = f2
  [../]
  [./int0]
    type = PointValue
    point = '0 0 0'
    variable = int0
  [../]
  [./int1]
    type = PointValue
    point = '0 0 0'
    variable = int1
  [../]
  [./int2]
    type = PointValue
    point = '0 0 0'
    variable = int2
  [../]
[]

[UserObjects]
  [./simple0]
    type = SolidMechanicsPlasticSimpleTester
    a = 0
    b = 1
    strength = 1
    yield_function_tolerance = 1.0E-9
    internal_constraint_tolerance = 1.0E-9
  [../]
  [./simple1]
    type = SolidMechanicsPlasticSimpleTester
    a = 1
    b = 0
    strength = 1
    yield_function_tolerance = 1.0E-9
    internal_constraint_tolerance = 1.0E-9
  [../]
  [./simple2]
    type = SolidMechanicsPlasticSimpleTester
    a = 1
    b = 1
    strength = 1.5
    yield_function_tolerance = 1.0E-9
    internal_constraint_tolerance = 1.0E-9
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    block = 0
    fill_method = symmetric_isotropic
    C_ijkl = '0 0.5E6'
  [../]
  [./strain]
    type = ComputeFiniteStrain
    block = 0
    displacements = 'disp_x disp_y disp_z'
  [../]
  [./multi]
    type = ComputeMultiPlasticityStress
    block = 0
    ep_plastic_tolerance = 1E-9
    plastic_models = 'simple0 simple1 simple2'
    max_NR_iterations = 2
    min_stepsize = 1
    debug_fspb = crash
    debug_jac_at_stress = '10 0 0 0 10 0 0 0 10'
    debug_jac_at_pm = '1 1'
    debug_jac_at_intnl = '1 1'
    debug_stress_change = 1E-5
    debug_pm_change = '1E-6 1E-6'
    debug_intnl_change = '1E-6 1E-6'
  [../]
[]


[Executioner]
  end_time = 1
  dt = 1
  type = Transient
[]


[Outputs]
  file_base = three_surface05
  exodus = false
  [./csv]
    type = CSV
    [../]
[]

(test/tests/kernels/simple_transient_diffusion/ill_conditioned_simple_diffusion.i)

[Mesh]
  type = GeneratedMesh
  dim = 1
  nx = 2
[]

[Variables]
  [./u]
  [../]
[]

[Kernels]
  [./diff]
    type = MatDiffusion
    variable = u
  [../]
[]

[BCs]
  [./left]
    type = DirichletBC
    variable = u
    preset = false
    boundary = left
    value = 0
  [../]
  [./right]
    type = FunctionDirichletBC
    variable = u
    preset = false
    boundary = right
    function = constant
  [../]
[]

[Functions]
  [constant]
    type = ParsedFunction
    expression = '1'
  []
  [ramp]
    type = ParsedFunction
    expression = 't'
  []
[]


[Materials]
  active = 'constant'
  [constant]
    type = GenericConstantMaterial
    prop_names = 'D'
    prop_values = '1e20'
  []
  [function]
    type = GenericFunctionMaterial
    prop_names = 'D'
    prop_values = '10^(t-1)'
  []
[]

[Executioner]
  type = Transient
  num_steps = 1
  dt = 2
  dtmin = 2
  solve_type = NEWTON
  petsc_options = '-pc_svd_monitor -ksp_view_pmat -snes_converged_reason -ksp_converged_reason'
  petsc_options_iname = '-pc_type -snes_stol'
  petsc_options_value = 'svd      0'
[]

[Outputs]
  exodus = true
[]

(modules/solid_mechanics/test/tests/truss/truss_3d.i)

[Mesh]
  type = FileMesh
  file = truss_3d.e
  displacements = 'disp_x disp_y disp_z'
[]

[Variables]
  [./disp_x]
    order = FIRST
    family = LAGRANGE
  [../]
  [./disp_y]
    order = FIRST
    family = LAGRANGE
  [../]
  [./disp_z]
    order = FIRST
    family = LAGRANGE
  [../]
[]

[AuxVariables]
 [./axial_stress]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./e_over_l]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./area]
    order = CONSTANT
    family = MONOMIAL
#    initial_condition = 1.0
  [../]
  [./react_x]
    order = FIRST
    family = LAGRANGE
  [../]
  [./react_y]
    order = FIRST
    family = LAGRANGE
  [../]
  [./react_z]
    order = FIRST
    family = LAGRANGE
  [../]
[]

[Functions]
  [./x2]
    type = PiecewiseLinear
    x = '0  1 2 3'
    y = '0 .5 1 1'
  [../]
  [./y2]
    type = PiecewiseLinear
    x = '0 1  2 3'
    y = '0 0 .5 1'
  [../]
[]

[BCs]
  [./fixx1]
    type = DirichletBC
    variable = disp_x
    preset = false
    boundary = 1
    value = 0.0
  [../]
  [./fixx2]
    type = FunctionDirichletBC
    variable = disp_x
    preset = false
    boundary = 2
    function = x2
  [../]
  [./fixx3]
    type = DirichletBC
    variable = disp_x
    preset = false
    boundary = 3
    value = 0.0
  [../]
  [./fixy1]
    type = DirichletBC
    variable = disp_y
    preset = false
    boundary = 1
    value = 0
  [../]
  [./fixy2]
    type = FunctionDirichletBC
    variable = disp_y
    preset = false
    boundary = 2
    function = y2
  [../]
  [./fixy3]
    type = DirichletBC
    variable = disp_y
    preset = false
    boundary = 3
    value = 0
  [../]
  [./fixz1]
    type = DirichletBC
    variable = disp_z
    preset = false
    boundary = 1
    value = 0
  [../]
  [./fixz2]
    type = DirichletBC
    variable = disp_z
    preset = false
    boundary = 2
    value = 0
  [../]
  [./fixz3]
    type = DirichletBC
    variable = disp_z
    preset = false
    boundary = 3
    value = 0
  [../]
[]

[AuxKernels]
  [./axial_stress]
    type = MaterialRealAux
    block = '1 2'
    property = axial_stress
    variable = axial_stress
  [../]
  [./e_over_l]
    type = MaterialRealAux
    block = '1 2'
    property = e_over_l
    variable = e_over_l
  [../]
  [./area]
    type = ConstantAux
    block = '1 2'
    variable = area
    value = 1.0
    execute_on = 'initial timestep_begin'
  [../]
[]

[Executioner]
  type = Transient
  solve_type = PJFNK
  petsc_options_iname = '-pc_type -ksp_gmres_restart'
  petsc_options_value = 'jacobi   101'
  line_search = 'none'

  nl_max_its = 15
  nl_rel_tol = 1e-6
  nl_abs_tol = 1e-10

  dt = 1
  num_steps = 3
  end_time = 3
[]

[Kernels]
  [./solid_x]
    type = StressDivergenceTensorsTruss
    block = '1 2'
    displacements = 'disp_x disp_y disp_z'
    component = 0
    variable = disp_x
    area = area
    save_in = react_x
  [../]
  [./solid_y]
    type = StressDivergenceTensorsTruss
    block = '1 2'
    displacements = 'disp_x disp_y disp_z'
    component = 1
    variable = disp_y
    area = area
    save_in = react_y
  [../]
  [./solid_z]
    type = StressDivergenceTensorsTruss
    block = '1 2'
    displacements = 'disp_x disp_y disp_z'
    component = 2
    variable = disp_z
    area = area
    save_in = react_z
  [../]
[]

[Materials]
  [./linelast]
    type = LinearElasticTruss
    block = '1 2'
    youngs_modulus = 1e6
    displacements = 'disp_x disp_y disp_z'
  [../]
[]

[Outputs]
  exodus = true
[]

(modules/heat_transfer/test/tests/gap_heat_transfer_htonly/cyl3D.i)

#
# 3D Cylindrical Gap Heat Transfer Test.
#
# This test exercises 3D gap heat transfer for a constant conductivity gap.
#
# The mesh consists of an inner solid cylinder of radius = 1 unit, and outer
# hollow cylinder with an inner radius of 2. In other words, the gap between
# them is 1 radial unit in length.
#
# The conductivity of both cylinders is set very large to achieve a uniform
# temperature in each cylinder. The temperature of the center node of the
# inner cylinder is ramped from 100 to 200 over one time unit. The temperature
# of the outside of the outer, hollow cylinder is held fixed at 100.
#
# A simple analytical solution is possible for the integrated heat flux
# between the inner and outer cylinders:
#
#  Integrated Flux = (T_left - T_right) * (gapK/(r*ln(r2/r1))) * Area
#
# For gapK = 1 (default value)
#
# The area is taken as the area of the secondary (inner) surface:
#
# Area = 2 * pi * h * r, where h is the height of the cylinder.
#
# The integrated heat flux across the gap at time 1 is then:
#
# 2*pi*h*k*delta_T/(ln(r2/r1))
# 2*pi*1*1*100/(ln(2/1)) = 906.5 watts
#
# For comparison, see results from the integrated flux post processors.
# This simulation makes use of symmetry, so only 1/4 of the cylinders is meshed
# As such, the integrated flux from the post processors is 1/4 of the total,
# or 226.6 watts.
# The value coming from the post processor is slightly less than this
# but converges as mesh refinement increases.
#
# Simulating contact is challenging. Regression tests that exercise
# contact features can be difficult to solve consistently across multiple
# platforms. While designing these tests, we felt it worth while to note
# some aspects of these tests. The following applies to:
# sphere3D.i, sphere2DRZ.i, cyl2D.i, and cyl3D.i.
# 1. We decided that to perform consistently across multiple platforms we
# would use very small convergence tolerance. In this test we chose an
# nl_rel_tol of 1e-12.
# 2. Due to such a high value for thermal conductivity (used here so that the
# domains come to a uniform temperature) the integrated flux at time = 0
# was relatively large (the value coming from SideIntegralFlux =
#  -_diffusion_coef[_qp]*_grad_u[_qp]*_normals[_qp] where the diffusion coefficient
# here is thermal conductivity).
# Even though _grad_u[_qp] is small, in this case the diffusion coefficient
# is large. The result is a number that isn't exactly zero and tends to
# fail exodiff. For this reason the parameter execute_on = initial should not
# be used. That parameter is left to default settings in these regression tests.
#
 [GlobalParams]
  order = SECOND
  family = LAGRANGE
  []


[Mesh]
  file = cyl3D.e
[]

[Functions]

  [./temp]
    type = PiecewiseLinear
    x = '0   1'
    y = '100 200'
  [../]
[]

[Variables]
  [./temp]
   initial_condition = 100
  [../]
[]

[AuxVariables]
  [./gap_conductance]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]


[Kernels]
  [./heat_conduction]
    type = HeatConduction
    variable = temp
  [../]
[]

[AuxKernels]
  [./gap_cond]
    type = MaterialRealAux
    property = gap_conductance
    variable = gap_conductance
    boundary = 2
  [../]
[]

[Materials]
  [./heat1]
    type = HeatConductionMaterial
    block = '1 2'
    specific_heat = 1.0
    thermal_conductivity = 1000000.0
  [../]
[]

[ThermalContact]
  [./thermal_contact]
    type = GapHeatTransfer
    variable = temp
    primary = 3
    secondary = 2
    emissivity_primary = 0
    emissivity_secondary = 0
    gap_conductivity = 1
    quadrature = true
    gap_geometry_type = CYLINDER
    cylinder_axis_point_1 = '0 0 0'
    cylinder_axis_point_2 = '0 1 0'
  [../]
[]

[BCs]
  [./mid]
    type = FunctionDirichletBC
    boundary = 5
    variable = temp
    function = temp
  [../]
  [./temp_far_right]
    type = DirichletBC
    boundary = 4
    variable = temp
    value = 100
  [../]
[]

[Executioner]
  type = Transient

  #Preconditioned JFNK (default)
  solve_type = 'PJFNK'

  petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
  petsc_options_value = 'lu       superlu_dist'

  dt = 1
  dtmin = 0.01
  end_time = 1

  nl_rel_tol = 1e-12
  nl_abs_tol = 1e-7

  [./Quadrature]
     order = fifth
     side_order = seventh
  [../]

[]

[Outputs]
  exodus = true
   [./Console]
    type = Console
   [../]
[]

[Postprocessors]
  [./temp_left]
    type = SideAverageValue
    boundary = 2
    variable = temp
  [../]

  [./temp_right]
    type = SideAverageValue
    boundary = 3
    variable = temp
  [../]

  [./flux_left]
    type = SideDiffusiveFluxIntegral
    variable = temp
    boundary = 2
    diffusivity = thermal_conductivity
  [../]

  [./flux_right]
    type = SideDiffusiveFluxIntegral
    variable = temp
    boundary = 3
    diffusivity = thermal_conductivity
  [../]
[]

(modules/solid_mechanics/test/tests/capped_weak_plane/small_deform10.i)

# apply a shear deformation and tensile stretch to observe all hardening.
# Here p_trial=12, q_trial=2*Sqrt(20)
# MOOSE yields:
# q_returned = 1.696
# p_returned = 0.100
# intnl_shear = 1.81
# intnl_tens = 0.886
# These give, at the returned point
# cohesion = 1.84
# tanphi = 0.513
# tanpsi = 0.058
# tensile = 0.412
# This means that
# f_shear = -0.0895
# f_tensile = -0.312
# Note that these are within smoothing_tol (=1) of each other
# Hence, smoothing must be used:
# ismoother = 0.0895
# (which gives the yield function value = 0)
# smoother = 0.328
# This latter gives dg/dq = 0.671, dg/dp = 0.368
# for the flow directions.  Finally ga = 2.70, and
# the returned point satisfies the normality conditions.
[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]

[Physics/SolidMechanics/QuasiStatic]
  [./all]
    add_variables = true
    incremental = true
    generate_output = 'stress_xx stress_xy stress_xz stress_yy stress_yz stress_zz plastic_strain_xx plastic_strain_xy plastic_strain_xz plastic_strain_yy plastic_strain_yz plastic_strain_zz strain_xx strain_xy strain_xz strain_yy strain_yz strain_zz'
  [../]
[]

[BCs]
  [./bottomx]
    type = DirichletBC
    variable = disp_x
    boundary = back
    value = 0.0
  [../]
  [./bottomy]
    type = DirichletBC
    variable = disp_y
    boundary = back
    value = 0.0
  [../]
  [./bottomz]
    type = DirichletBC
    variable = disp_z
    boundary = back
    value = 0.0
  [../]

  [./topx]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = front
    function = 't'
  [../]
  [./topy]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = front
    function = '2*t'
  [../]
  [./topz]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = front
    function = 't'
  [../]
[]


[AuxVariables]
  [./f_shear]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f_tensile]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f_compressive]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./intnl_shear]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./intnl_tensile]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./iter]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./ls]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]

[AuxKernels]
  [./f_shear]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 0
    variable = f_shear
  [../]
  [./f_tensile]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 1
    variable = f_tensile
  [../]
  [./f_compressive]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 2
    variable = f_compressive
  [../]
  [./intnl_shear]
    type = MaterialStdVectorAux
    property = plastic_internal_parameter
    index = 0
    variable = intnl_shear
  [../]
  [./intnl_tensile]
    type = MaterialStdVectorAux
    property = plastic_internal_parameter
    index = 1
    variable = intnl_tensile
  [../]
  [./iter]
    type = MaterialRealAux
    property = plastic_NR_iterations
    variable = iter
  [../]
  [./ls]
    type = MaterialRealAux
    property = plastic_linesearch_needed
    variable = ls
  [../]
[]

[Postprocessors]
  [./stress_xx]
    type = PointValue
    point = '0 0 0'
    variable = stress_xx
  [../]
  [./stress_xy]
    type = PointValue
    point = '0 0 0'
    variable = stress_xy
  [../]
  [./stress_xz]
    type = PointValue
    point = '0 0 0'
    variable = stress_xz
  [../]
  [./stress_yy]
    type = PointValue
    point = '0 0 0'
    variable = stress_yy
  [../]
  [./stress_yz]
    type = PointValue
    point = '0 0 0'
    variable = stress_yz
  [../]
  [./stress_zz]
    type = PointValue
    point = '0 0 0'
    variable = stress_zz
  [../]
  [./strainp_xx]
    type = PointValue
    point = '0 0 0'
    variable = plastic_strain_xx
  [../]
  [./strainp_xy]
    type = PointValue
    point = '0 0 0'
    variable = plastic_strain_xy
  [../]
  [./strainp_xz]
    type = PointValue
    point = '0 0 0'
    variable = plastic_strain_xz
  [../]
  [./strainp_yy]
    type = PointValue
    point = '0 0 0'
    variable = plastic_strain_yy
  [../]
  [./strainp_yz]
    type = PointValue
    point = '0 0 0'
    variable = plastic_strain_yz
  [../]
  [./strainp_zz]
    type = PointValue
    point = '0 0 0'
    variable = plastic_strain_zz
  [../]
  [./straint_xx]
    type = PointValue
    point = '0 0 0'
    variable = strain_xx
  [../]
  [./straint_xy]
    type = PointValue
    point = '0 0 0'
    variable = strain_xy
  [../]
  [./straint_xz]
    type = PointValue
    point = '0 0 0'
    variable = strain_xz
  [../]
  [./straint_yy]
    type = PointValue
    point = '0 0 0'
    variable = strain_yy
  [../]
  [./straint_yz]
    type = PointValue
    point = '0 0 0'
    variable = strain_yz
  [../]
  [./straint_zz]
    type = PointValue
    point = '0 0 0'
    variable = strain_zz
  [../]
  [./f_shear]
    type = PointValue
    point = '0 0 0'
    variable = f_shear
  [../]
  [./f_tensile]
    type = PointValue
    point = '0 0 0'
    variable = f_tensile
  [../]
  [./f_compressive]
    type = PointValue
    point = '0 0 0'
    variable = f_compressive
  [../]
  [./intnl_shear]
    type = PointValue
    point = '0 0 0'
    variable = intnl_shear
  [../]
  [./intnl_tensile]
    type = PointValue
    point = '0 0 0'
    variable = intnl_tensile
  [../]
  [./iter]
    type = PointValue
    point = '0 0 0'
    variable = iter
  [../]
  [./ls]
    type = PointValue
    point = '0 0 0'
    variable = ls
  [../]
[]

[UserObjects]
  [./coh]
    type = SolidMechanicsHardeningExponential
    value_0 = 1
    value_residual = 2
    rate = 1
  [../]
  [./tanphi]
    type = SolidMechanicsHardeningExponential
    value_0 = 1.0
    value_residual = 0.5
    rate = 2
  [../]
  [./tanpsi]
    type = SolidMechanicsHardeningExponential
    value_0 = 0.1
    value_residual = 0.05
    rate = 1
  [../]
  [./t_strength]
    type = SolidMechanicsHardeningExponential
    value_0 = 1
    value_residual = 0
    rate = 1
  [../]
  [./c_strength]
    type = SolidMechanicsHardeningConstant
    value = 1E8
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    fill_method = symmetric_isotropic
    C_ijkl = '4 4'
  [../]
  [./admissible]
    type = ComputeMultipleInelasticStress
    inelastic_models = stress
    perform_finite_strain_rotations = false
  [../]
  [./stress]
    type = CappedWeakPlaneStressUpdate
    cohesion = coh
    tan_friction_angle = tanphi
    tan_dilation_angle = tanpsi
    tensile_strength = t_strength
    compressive_strength = c_strength
    max_NR_iterations = 20
    tip_smoother = 0
    smoothing_tol = 1
    yield_function_tol = 1E-3
    perfect_guess = false
  [../]
[]


[Executioner]
  end_time = 1
  dt = 1
  type = Transient
[]


[Outputs]
  file_base = small_deform10
  [./csv]
    type = CSV
  [../]
[]

(test/tests/postprocessors/nodal_extreme_value/nodal_max_value_test.i)

[Mesh]
  type = GeneratedMesh
  dim = 2
  xmin = -1
  xmax = 1
  ymin = -1
  ymax = 1
  nx = 20
  ny = 20
[]

[Functions]
  [exact_fn]
    type = ParsedFunction
    expression = (sin(pi*t))
  []

  [forcing_fn]
    type = ParsedFunction
    expression = sin(pi*t)
  []
[]

[Variables]
  active = 'u'

  [u]
    order = FIRST
    family = LAGRANGE
  []
[]

[Kernels]
  active = 'diff' #ffn'

  [ie]
    type = TimeDerivative
    variable = u
  []

  [diff]
    type = Diffusion
    variable = u
  []

  [ffn]
    type = BodyForce
    variable = u
    function = forcing_fn
  []
[]

[BCs]
  [all]
    type = FunctionDirichletBC
    variable = u
    boundary = '0 1 2 3'
    function = exact_fn
  []
[]

[Executioner]
  type = Transient

  solve_type = 'PJFNK'

  dt = 0.1
  start_time = 0
  num_steps = 20
[]

[Postprocessors]
  [max_nodal_val]
    type = NodalExtremeValue
    variable = u
  []
[]

[Outputs]
  file_base = out_nodal_max
  exodus = true
[]

(modules/solid_mechanics/test/tests/multiple_two_parameter_plasticity/dp_and_wp.i)

# Use ComputeMultipleInelasticStress with two inelastic models: CappedDruckerPrager and CappedWeakPlane.
# The relative_tolerance and absolute_tolerance parameters are set small so that many
# Picard iterations need to be performed.
#
# The CappedDruckerPrager has tensile strength 3E2 and large cohesion,
# and the return-map sets stress = trial_stress - diag(d, d, d), for
# some d to be determined
# The CappedWeakPlane has tensile strength zero and large cohesion,
# and the return-map sets stress = diag(t - v*w/(1-v), t - v*w/(1-v), t - w)
# where t is trial stress, v is Poisson's ratio, and w is to be determined
#
# d and w are determined by demanding that the final stress shouldn't depend
# on the order of return-mapping (DP first then WP, or WP first then DP).
#
# Let the initial_stress = diag(I, I, I).
# The returned stress is diag(I - d - v*w/(1-v), I - d - v*w/(1-v), I - d - w).  This
# must obey Tr(stress) <= dp_tensile_strength, and I-d-w <= wp_tensile_strength.
#
# For I = 1E3, and v = 0.2, the solution is d = 800 and w = 200, with
# stress = diag(150, 150, 0)

[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]


[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]

[Physics/SolidMechanics/QuasiStatic]
  [./all]
    add_variables = true
    incremental = true
    eigenstrain_names = ini_stress
    generate_output = 'stress_xx stress_xy stress_xz stress_yy stress_yz stress_zz'
  [../]
[]

[BCs]
  [./x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'front back'
    function = 0
  [../]
  [./y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'front back'
    function = 0
  [../]
  [./z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'front back'
    function = 0
  [../]
[]

[AuxVariables]
  [./yield_fcn_dp]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./yield_fcn_wp]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]

[AuxKernels]
  [./yield_fcn_dp_auxk]
    type = MaterialStdVectorAux
    index = 1    # this is the tensile yield function - it should be zero
    property = cdp_plastic_yield_function
    variable = yield_fcn_dp
  [../]
  [./yield_fcn_wp_auxk]
    type = MaterialStdVectorAux
    index = 1    # this is the tensile yield function - it should be zero
    property = cwp_plastic_yield_function
    variable = yield_fcn_wp
  [../]
[]

[Postprocessors]
  [./s_xx]
    type = PointValue
    point = '0 0 0'
    variable = stress_xx
  [../]
  [./s_xy]
    type = PointValue
    point = '0 0 0'
    variable = stress_xy
  [../]
  [./s_xz]
    type = PointValue
    point = '0 0 0'
    variable = stress_xz
  [../]
  [./s_yy]
    type = PointValue
    point = '0 0 0'
    variable = stress_yy
  [../]
  [./s_yz]
    type = PointValue
    point = '0 0 0'
    variable = stress_yz
  [../]
  [./s_zz]
    type = PointValue
    point = '0 0 0'
    variable = stress_zz
  [../]
  [./f_dp]
    type = PointValue
    point = '0 0 0'
    variable = yield_fcn_dp
  [../]
  [./f_wp]
    type = PointValue
    point = '0 0 0'
    variable = yield_fcn_wp
  [../]
[]

[UserObjects]
  [./ts]
    type = SolidMechanicsHardeningConstant
    value = 300
  [../]
  [./cs]
    type = SolidMechanicsHardeningConstant
    value = 1E4
  [../]
  [./mc_coh]
    type = SolidMechanicsHardeningConstant
    value = 1E4
  [../]
  [./mc_phi]
    type = SolidMechanicsHardeningConstant
    value = 20
    convert_to_radians = true
  [../]
  [./mc_psi]
    type = SolidMechanicsHardeningConstant
    value = 0
  [../]
  [./dp]
    type = SolidMechanicsPlasticDruckerPrager
    mc_cohesion = mc_coh
    mc_friction_angle = mc_phi
    mc_dilation_angle = mc_psi
    internal_constraint_tolerance = 1 # irrelevant here
    yield_function_tolerance = 1      # irrelevant here
  [../]
  [./wp_coh]
    type = SolidMechanicsHardeningConstant
    value = 1E4
  [../]
  [./wp_tanphi]
    type = SolidMechanicsHardeningConstant
    value = 0.5
  [../]
  [./wp_tanpsi]
    type = SolidMechanicsHardeningConstant
    value = 0.1111077
  [../]
  [./wp_t_strength]
    type = SolidMechanicsHardeningConstant
    value = 0
  [../]
  [./wp_c_strength]
    type = SolidMechanicsHardeningConstant
    value = 1E4
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeIsotropicElasticityTensor
    poissons_ratio = 0.2
    youngs_modulus = 1E7
  [../]
  [./ini_stress]
    type = ComputeEigenstrainFromInitialStress
    initial_stress = '1E3 0 0  0 1E3 0  0 0 1E3'
    eigenstrain_name = ini_stress
  [../]
  [./admissible]
    type = ComputeMultipleInelasticStress
    relative_tolerance = 1E-8
    inelastic_models = 'cdp cwp'
    perform_finite_strain_rotations = false
  [../]
  [./cdp]
    type = CappedDruckerPragerStressUpdate
    base_name = cdp
    DP_model = dp
    tensile_strength = ts
    compressive_strength = cs
    yield_function_tol = 1E-5
    tip_smoother = 1E3
    smoothing_tol = 1E3
  [../]
  [./cwp]
    type = CappedWeakPlaneStressUpdate
    base_name = cwp
    cohesion = wp_coh
    tan_friction_angle = wp_tanphi
    tan_dilation_angle = wp_tanpsi
    tensile_strength = wp_t_strength
    compressive_strength = wp_c_strength
    tip_smoother = 1E3
    smoothing_tol = 1E3
    yield_function_tol = 1E-5
  [../]
[]


[Executioner]
  end_time = 1
  dt = 1
  type = Transient
[]


[Outputs]
  file_base = dp_and_wp
  csv = true
[]

(test/tests/postprocessors/nodal_var_value/nodal_aux_var_value.i)

[Mesh]
  type = GeneratedMesh
  dim = 2
  nx = 2
  ny = 2
  xmin = 0
  xmax = 1
  ymin = 0
  ymax = 1
  elem_type = QUAD4
  # This test can only be run with renumering disabled, so the
  # NodalVariableValue postprocessor's node id is well-defined.
  allow_renumbering = false
[]

[Variables]
  active = 'v'

  [./v]
    order = FIRST
    family = LAGRANGE
  [../]
[]

[AuxVariables]
  active = 'v1'

  [./v1]
    order = FIRST
    family = LAGRANGE
  [../]
[]


[Functions]
  active = 'left_bc'

  [./left_bc]
    type = ParsedFunction
    expression = t
  [../]
[]

[Kernels]
  active = 'time_v diff_v'

  [./time_v]
    type = TimeDerivative
    variable = v
  [../]

  [./diff_v]
    type = Diffusion
    variable = v
  [../]
[]

[AuxKernels]
  active = 'ak1'

  [./ak1]
    type = CoupledAux
    variable = v1
    coupled = v
    value = 1
    operator = '+'
  [../]
[]

[BCs]
  active = 'left_v right_v'

  [./left_v]
    type = FunctionDirichletBC
    variable = v
    boundary = '3'
    function = left_bc
  [../]

  [./right_v]
    type = DirichletBC
    variable = v
    boundary = '1'
    value = 1
  [../]
[]

[Postprocessors]
  active = 'node4v node4v1'

  [./node4v]
    type = NodalVariableValue
    variable = v
    nodeid = 3
  [../]

  [./node4v1]
    type = NodalVariableValue
    variable = v1
    nodeid = 3
  [../]
[]

[Executioner]
  type = Transient

  solve_type = 'PJFNK'

  dt = 0.1
  start_time = 0
  end_time = 1
[]

[Outputs]
  execute_on = 'timestep_end'
  file_base = out_nodal_aux_var_value
  exodus = true
[]

(modules/navier_stokes/test/tests/finite_element/ins/cg-dg-hybrid/mms/lid-driven-skewed/hybrid-skewed-vortex.i)

rho=1
mu=1

[Mesh]
  [gen_mesh]
    type = FileMeshGenerator
    file = skewed.msh
  []
  [corner_node]
    type = ExtraNodesetGenerator
    new_boundary = 'pinned_node'
    nodes = '0'
    input = gen_mesh
  []
[]

[Variables]
  [u]
    family = MONOMIAL
    order = SECOND
  []
  [v]
    family = MONOMIAL
    order = SECOND
  []
  [pressure][]
[]

[Kernels]
  [momentum_x_convection]
    type = ADConservativeAdvection
    variable = u
    velocity = 'velocity'
  []
  [momentum_x_diffusion]
    type = Diffusion
    variable = u
  []
  [momentum_x_pressure]
    type = PressureGradient
    integrate_p_by_parts = false
    variable = u
    pressure = pressure
    component = 0
  []
  [u_forcing]
    type = BodyForce
    variable = u
    function = forcing_u
  []
  [momentum_y_convection]
    type = ADConservativeAdvection
    variable = v
    velocity = 'velocity'
  []
  [momentum_y_diffusion]
    type = Diffusion
    variable = v
  []
  [momentum_y_pressure]
    type = PressureGradient
    integrate_p_by_parts = false
    variable = v
    pressure = pressure
    component = 1
  []
  [v_forcing]
    type = BodyForce
    variable = v
    function = forcing_v
  []
  [mass]
    type = ADConservativeAdvection
    variable = pressure
    velocity = velocity
    advected_quantity = -1
  []
[]

[DGKernels]
  [momentum_x_convection]
    type = ADDGAdvection
    variable = u
    velocity = 'velocity'
  []
  [momentum_x_diffusion]
    type = DGDiffusion
    variable = u
    sigma = 6
    epsilon = -1
  []
  [momentum_y_convection]
    type = ADDGAdvection
    variable = v
    velocity = 'velocity'
  []
  [momentum_y_diffusion]
    type = DGDiffusion
    variable = v
    sigma = 6
    epsilon = -1
  []
[]

[BCs]
  [u_walls]
    type = DGFunctionDiffusionDirichletBC
    boundary = 'left bottom right top'
    variable = u
    sigma = 6
    epsilon = -1
    function = exact_u
  []
  [v_walls]
    type = DGFunctionDiffusionDirichletBC
    boundary = 'left bottom right top'
    variable = v
    sigma = 6
    epsilon = -1
    function = exact_v
  []
  [pressure_pin]
    type = FunctionDirichletBC
    variable = pressure
    boundary = 'pinned_node'
    function = 'exact_p'
  []
[]

[Materials]
  [rho]
    type = ADGenericConstantMaterial
    prop_names = 'rho'
    prop_values = '${rho}'
  []
  [vel]
    type = ADVectorFromComponentVariablesMaterial
    vector_prop_name = 'velocity'
    u = u
    v = v
  []
  [rhou]
    type = ADParsedMaterial
    property_name = 'rhou'
    coupled_variables = 'u'
    material_property_names = 'rho'
    expression = 'rho*u'
  []
  [rhov]
    type = ADParsedMaterial
    property_name = 'rhov'
    coupled_variables = 'v'
    material_property_names = 'rho'
    expression = 'rho*v'
  []
[]

[Functions]
  [exact_u]
    type = ParsedFunction
    expression = 'x^2*(1-x)^2*(2*y-6*y^2+4*y^3)'
  []
  [exact_v]
    type = ParsedFunction
    expression = '-y^2*(1-y)^2*(2*x-6*x^2+4*x^3)'
  []
  [exact_p]
    type = ParsedFunction
    expression = 'x*(1-x)-2/12'
  []
  [forcing_u]
    type = ParsedFunction
    expression = '-4*mu/rho*(-1+2*y)*(y^2-6*x*y^2+6*x^2*y^2-y+6*x*y-6*x^2*y+3*x^2-6*x^3+3*x^4)+1-2*x+4*x^3'
            '*y^2*(2*y^2-2*y+1)*(y-1)^2*(-1+2*x)*(x-1)^3'
    symbol_names = 'mu rho'
    symbol_values = '${mu} ${rho}'
  []
  [forcing_v]
    type = ParsedFunction
    expression = '4*mu/rho*(-1+2*x)*(x^2-6*y*x^2+6*x^2*y^2-x+6*x*y-6*x*y^2+3*y^2-6*y^3+3*y^4)+4*y^3*x^2*(2'
            '*x^2-2*x+1)*(x-1)^2*(-1+2*y)*(y-1)^3'
    symbol_names = 'mu rho'
    symbol_values = '${mu} ${rho}'
  []
[]

[Executioner]
  type = Steady
  solve_type = 'NEWTON'
  petsc_options_iname = '-pc_type -pc_factor_shift_type -pc_factor_mat_solver_type'
  petsc_options_value = 'lu       NONZERO               mumps'
  nl_rel_tol = 1e-12
[]

[Outputs]
  exodus = true
  csv = true
[]

[Postprocessors]
  [h]
    type = AverageElementSize
    outputs = 'console csv'
    execute_on = 'timestep_end'
  []
  [L2u]
    type = ElementL2Error
    variable = u
    function = exact_u
    outputs = 'console csv'
    execute_on = 'timestep_end'
  []
  [L2v]
    variable = v
    function = exact_v
    type = ElementL2Error
    outputs = 'console csv'
    execute_on = 'timestep_end'
  []
  [L2p]
    variable = pressure
    function = exact_p
    type = ElementL2Error
    outputs = 'console csv'
    execute_on = 'timestep_end'
  []
[]

(modules/solid_mechanics/test/tests/capped_mohr_coulomb/small_deform2.i)

# Using CappedMohrCoulomb with tensile failure only
# checking for small deformation
# A single element is stretched equally in all directions.
# This causes the return direction to be along the sigma_I = sigma_II = sigma_III line
# tensile_strength is set to 1Pa, and smoothing_tol = 0.1Pa
# The smoothed yield function comes from two smoothing operations.
# The first is on sigma_I and sigma_II (sigma_I >= sigma_II >= sigma_III):
# yf = sigma_I + ismoother(0) - tensile_strength
#    = sigma_I + (0.5 * smoothing_tol - smoothing_tol / Pi) - tensile_strength
#    = sigma_I + 0.018169 - 1
# The second has the argument of ismoother equal to -0.018169.
# ismoother(-0.018169) = 0.5 * (-0.018169 + 0.1) - 0.1 * cos (0.5 * Pi * -0.018169 / 0.1) / Pi
#                     = 0.010372
# So the final yield function is
# yf = sigma_I + 0.018169 + 0.010372 - 1 = sigma_I + 0.028541 - 1
# However, because of the asymmetry in smoothing (the yield function is obtained
# by first smoothing sigma_I-ts and sigma_II-ts, and then by smoothing this
# result with sigma_III-ts) the result is sigma_I = sigma_II > sigma_III


[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]

[Physics/SolidMechanics/QuasiStatic]
  [./all]
    add_variables = true
    strain = finite
    incremental = true
    generate_output = 'max_principal_stress mid_principal_stress min_principal_stress stress_xx stress_xy stress_xz stress_yy stress_yz stress_zz'
  [../]
[]

[BCs]
  [./x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'front back'
    function = '1E-6*x'
  [../]
  [./y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'front back'
    function = '1E-6*y'
  [../]
  [./z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'front back'
    function = '1E-6*z'
  [../]
[]

[AuxVariables]
  [./yield_fcn]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]

[AuxKernels]
  [./yield_fcn_auxk]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 0
    variable = yield_fcn
  [../]
[]

[Postprocessors]
  [./s_I]
    type = PointValue
    point = '0 0 0'
    variable = max_principal_stress
  [../]
  [./s_II]
    type = PointValue
    point = '0 0 0'
    variable = mid_principal_stress
  [../]
  [./s_III]
    type = PointValue
    point = '0 0 0'
    variable = min_principal_stress
  [../]
  [./s_xx]
    type = PointValue
    point = '0 0 0'
    variable = stress_xx
  [../]
  [./s_xy]
    type = PointValue
    point = '0 0 0'
    variable = stress_xy
  [../]
  [./s_xz]
    type = PointValue
    point = '0 0 0'
    variable = stress_xz
  [../]
  [./s_yy]
    type = PointValue
    point = '0 0 0'
    variable = stress_yy
  [../]
  [./s_yz]
    type = PointValue
    point = '0 0 0'
    variable = stress_yz
  [../]
  [./s_zz]
    type = PointValue
    point = '0 0 0'
    variable = stress_zz
  [../]
  [./f]
    type = PointValue
    point = '0 0 0'
    variable = yield_fcn
  [../]
[]

[UserObjects]
  [./ts]
    type = SolidMechanicsHardeningConstant
    value = 1
  [../]
  [./coh]
    type = SolidMechanicsHardeningConstant
    value = 1E6
  [../]
  [./ang]
    type = SolidMechanicsHardeningConstant
    value = 0.5
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    block = 0
    fill_method = symmetric_isotropic
    C_ijkl = '0 2.0E6'
  [../]
  [./tensile]
    type = CappedMohrCoulombStressUpdate
    tensile_strength = ts
    compressive_strength = ts
    cohesion = coh
    friction_angle = ang
    dilation_angle = ang
    smoothing_tol = 0.1
    yield_function_tol = 1.0E-12
  [../]
  [./stress]
    type = ComputeMultipleInelasticStress
    inelastic_models = tensile
    perform_finite_strain_rotations = false
  [../]
[]


[Executioner]
  end_time = 1
  dt = 1
  type = Transient
[]


[Outputs]
  file_base = small_deform2
  csv = true
[]

(test/tests/mesh/mesh_generation/annulus.i)

# Generates an Annular Mesh
# Radius of inside circle=1
# Radius of outside circle=5
# Solves the diffusion equation with
# u=0 on inside
# u=log(5) on outside

[Mesh]
  type = AnnularMesh
  nr = 10
  nt = 12
  rmin = 1
  rmax = 5
  growth_r = 1.3
[]

[Variables]
  [./u]
  [../]
[]

[Kernels]
  [./diff]
    type = Diffusion
    variable = u
  [../]
[]

[BCs]
  [./inner]
    type = DirichletBC
    variable = u
    value = 0.0
    boundary = rmin
  [../]
  [./outer]
    type = FunctionDirichletBC
    variable = u
    function = log(5)
    boundary = rmax
  [../]
[]

[Executioner]
  type = Steady
  solve_type = PJFNK
[]

[Outputs]
  exodus = true
[]

(test/tests/utils/spline_interpolation/spline_interpolation.i)

[Mesh]
  type = GeneratedMesh
  dim = 1
  nx = 4
  xmin = -1
  xmax = 3
  elem_type = EDGE2
[]

[Functions]
  [./spline_fn]
    type = SplineFunction
    x = '-1  0 3'
    y = '0.5 0 3'
  [../]
[]

[Variables]
  [./u]
    order = THIRD
    family = HERMITE
  [../]
[]

[Kernels]
  [./diff]
    type = Diffusion
    variable = u
  [../]

  [./ufn]
    type = SplineFFn
    variable = u
    function = spline_fn
  [../]
[]

[BCs]
  [./sides]
    type = FunctionDirichletBC
    variable = u
    boundary = '0 1'
    function = spline_fn
  [../]
[]

[Postprocessors]
  [./l2_err]
    type = ElementL2Error
    variable = u
    function = spline_fn
    execute_on = 'initial timestep_end'
  [../]
[]

[Executioner]
  type = Steady
  solve_type = NEWTON
[]

[Outputs]
  exodus = true
[]

(modules/solid_mechanics/test/tests/lagrangian/cartesian/updated/convergence/2D/dirichlet.i)

# Simple 2D plane strain test

[GlobalParams]
  displacements = 'disp_x disp_y'
  large_kinematics = true
[]

[Variables]
  [disp_x]
  []
  [disp_y]
  []
[]

[Mesh]
  [msh]
    type = GeneratedMeshGenerator
    dim = 2
    nx = 4
    ny = 4
  []
[]

[Kernels]
  [sdx]
    type = UpdatedLagrangianStressDivergence
    variable = disp_x
    component = 0
    use_displaced_mesh = true
  []
  [sdy]
    type = UpdatedLagrangianStressDivergence
    variable = disp_y
    component = 1
    use_displaced_mesh = true
  []
[]

[Functions]
  [pullx]
    type = ParsedFunction
    expression = '0.5 * t'
  []
  [pully]
    type = ParsedFunction
    expression = '-0.3 * t'
  []
[]

[BCs]
  [leftx]
    type = DirichletBC
    preset = true
    boundary = left
    variable = disp_x
    value = 0.0
  []
  [lefty]
    type = DirichletBC
    preset = true
    boundary = left
    variable = disp_y
    value = 0.0
  []
  [pull_x]
    type = FunctionDirichletBC
    boundary = right
    variable = disp_x
    function = pullx
    preset = true
  []
  [pull_y]
    type = FunctionDirichletBC
    boundary = top
    variable = disp_y
    function = pully
    preset = true
  []
[]

[Materials]
  [elastic_tensor]
    type = ComputeIsotropicElasticityTensor
    youngs_modulus = 100000.0
    poissons_ratio = 0.3
  []
  [compute_stress]
    type = ComputeLagrangianLinearElasticStress
  []
  [compute_strain]
    type = ComputeLagrangianStrain
  []
[]

[Preconditioning]
  [smp]
    type = SMP
    full = true
  []
[]

[Executioner]
  type = Transient

  solve_type = 'newton'
  line_search = none

  petsc_options_iname = '-pc_type'
  petsc_options_value = 'lu'

  l_max_its = 2
  l_tol = 1e-14
  nl_max_its = 15
  nl_rel_tol = 1e-10
  nl_abs_tol = 1e-12

  start_time = 0.0
  dt = 0.2
  dtmin = 0.2
  end_time = 1.0
[]

[Postprocessors]
  [nonlin]
    type = NumNonlinearIterations
  []
[]

[Outputs]
  exodus = false
  csv = true
[]

(modules/contact/test/tests/3d-mortar-contact/frictionless-mortar-3d.i)

starting_point = 0.25
offset = 0.00

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
  diffusivity = 1e0
  scaling = 1e0
[]

[Mesh]
  second_order = false
  [top_block]
    type = GeneratedMeshGenerator
    dim = 3
    nx = 3
    ny = 3
    nz = 3
    xmin = -0.25
    xmax = 0.25
    ymin = -0.25
    ymax = 0.25
    zmin = -0.25
    zmax = 0.25
    elem_type = HEX8
  []
  [rotate_top_block]
    type = TransformGenerator
    input = top_block
    transform = ROTATE
    vector_value = '0 0 0'
  []
  [top_block_sidesets]
    type = RenameBoundaryGenerator
    input = rotate_top_block
    old_boundary = '0 1 2 3 4 5'
    new_boundary = 'top_bottom top_back top_right top_front top_left top_top'
  []
  [top_block_id]
    type = SubdomainIDGenerator
    input = top_block_sidesets
    subdomain_id = 1
  []
  [bottom_block]
    type = GeneratedMeshGenerator
    dim = 3
    nx = 10
    ny = 10
    nz = 2
    xmin = -.5
    xmax = .5
    ymin = -.5
    ymax = .5
    zmin = -.3
    zmax = -.25
    elem_type = HEX8
  []
  [bottom_block_id]
    type = SubdomainIDGenerator
    input = bottom_block
    subdomain_id = 2
  []
  [bottom_block_change_boundary_id]
    type = RenameBoundaryGenerator
    input = bottom_block_id
    old_boundary = '0 1 2 3 4 5'
    new_boundary = '100 101 102 103 104 105'
  []
  [combined]
    type = MeshCollectionGenerator
    inputs = 'top_block_id bottom_block_change_boundary_id'
  []
  [block_rename]
    type = RenameBlockGenerator
    input = combined
    old_block = '1 2'
    new_block = 'top_block bottom_block'
  []
  [bottom_right_sideset]
    type = SideSetsAroundSubdomainGenerator
    input = block_rename
    new_boundary = bottom_right
    block = bottom_block
    normal = '1 0 0'
  []
  [bottom_left_sideset]
    type = SideSetsAroundSubdomainGenerator
    input = bottom_right_sideset
    new_boundary = bottom_left
    block = bottom_block
    normal = '-1 0 0'
  []
  [bottom_top_sideset]
    type = SideSetsAroundSubdomainGenerator
    input = bottom_left_sideset
    new_boundary = bottom_top
    block = bottom_block
    normal = '0 0 1'
  []
  [bottom_bottom_sideset]
    type = SideSetsAroundSubdomainGenerator
    input = bottom_top_sideset
    new_boundary = bottom_bottom
    block = bottom_block
    normal = '0  0 -1'
  []
  [bottom_front_sideset]
    type = SideSetsAroundSubdomainGenerator
    input = bottom_bottom_sideset
    new_boundary = bottom_front
    block = bottom_block
    normal = '0 1 0'
  []
  [bottom_back_sideset]
    type = SideSetsAroundSubdomainGenerator
    input = bottom_front_sideset
    new_boundary = bottom_back
    block = bottom_block
    normal = '0 -1 0'
  []
  [secondary]
    input = bottom_back_sideset
    type = LowerDBlockFromSidesetGenerator
    sidesets = 'top_bottom' # top_back top_left'
    new_block_id = '10001'
    new_block_name = 'secondary_lower'
  []
  [primary]
    input = secondary
    type = LowerDBlockFromSidesetGenerator
    sidesets = 'bottom_top'
    new_block_id = '10000'
    new_block_name = 'primary_lower'
  []
[]

[Variables]
  [disp_x]
    block = '1 2'
  []
  [disp_y]
    block = '1 2'
  []
  [disp_z]
    block = '1 2'
  []
  [mortar_normal_lm]
    block = 'secondary_lower'
    use_dual = true
  []
[]

[ICs]
  [disp_z]
    block = 1
    variable = disp_z
    value = '${fparse offset}'
    type = ConstantIC
  []
  [disp_x]
    block = 1
    variable = disp_x
    value = 0
    type = ConstantIC
  []
  [disp_y]
    block = 1
    variable = disp_y
    value = 0
    type = ConstantIC
  []
[]

[Kernels]
  [disp_x]
    type = MatDiffusion
    variable = disp_x
  []
  [disp_y]
    type = MatDiffusion
    variable = disp_y
  []
  [disp_z]
    type = MatDiffusion
    variable = disp_z
  []
[]

[UserObjects]
  [weighted_gap_uo]
    type = LMWeightedGapUserObject
    primary_boundary = 'bottom_top'
    secondary_boundary = 'top_bottom'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    lm_variable = mortar_normal_lm
    disp_x = disp_x
    disp_y = disp_y
    disp_z = disp_z
  []
[]

[Constraints]
  [normal_lm]
    type = ComputeWeightedGapLMMechanicalContact
    primary_boundary = 'bottom_top'
    secondary_boundary = 'top_bottom'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    variable = mortar_normal_lm
    disp_x = disp_x
    disp_y = disp_y
    disp_z = disp_z
    use_displaced_mesh = true
    weighted_gap_uo = weighted_gap_uo
  []
  [normal_x]
    type = NormalMortarMechanicalContact
    primary_boundary = 'bottom_top'
    secondary_boundary = 'top_bottom'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    variable = mortar_normal_lm
    secondary_variable = disp_x
    component = x
    use_displaced_mesh = true
    compute_lm_residuals = false
    weighted_gap_uo = weighted_gap_uo
  []
  [normal_y]
    type = NormalMortarMechanicalContact
    primary_boundary = 'bottom_top'
    secondary_boundary = 'top_bottom'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    variable = mortar_normal_lm
    secondary_variable = disp_y
    component = y
    use_displaced_mesh = true
    compute_lm_residuals = false
    weighted_gap_uo = weighted_gap_uo
  []
  [normal_z]
    type = NormalMortarMechanicalContact
    primary_boundary = 'bottom_top'
    secondary_boundary = 'top_bottom'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    variable = mortar_normal_lm
    secondary_variable = disp_z
    component = z
    use_displaced_mesh = true
    compute_lm_residuals = false
    weighted_gap_uo = weighted_gap_uo
  []
[]

[BCs]
  [botx]
    type = DirichletBC
    variable = disp_x
    boundary = 'bottom_left bottom_right bottom_front bottom_back'
    value = 0.0
  []
  [boty]
    type = DirichletBC
    variable = disp_y
    boundary = 'bottom_left bottom_right bottom_front bottom_back'
    value = 0.0
  []
  [botz]
    type = DirichletBC
    variable = disp_z
    boundary = 'bottom_left bottom_right bottom_front bottom_back'
    value = 0.0
  []
  [topx]
    type = DirichletBC
    variable = disp_x
    boundary = 'top_top'
    value = 0.0
  []
  [topy]
    type = DirichletBC
    variable = disp_y
    boundary = 'top_top'
    value = 0.0
  []
  [topz]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'top_top'
    function = '-${starting_point} * sin(2 * pi / 40 * t) + ${offset}'
  []
[]

[Executioner]
  type = Transient
  end_time = 1
  dt = .5
  dtmin = .01
  solve_type = 'PJFNK'
  petsc_options = '-snes_converged_reason -ksp_converged_reason -pc_svd_monitor '
                  '-snes_linesearch_monitor'
  petsc_options_iname = '-pc_type -pc_factor_mat_solver_type -pc_factor_shift_type -pc_factor_shift_amount -mat_mffd_err'
  petsc_options_value = 'lu       superlu_dist                  NONZERO               1e-15                   1e-5'
  l_max_its = 100
  nl_max_its = 30
  # nl_rel_tol = 1e-6
  nl_abs_tol = 1e-12
  line_search = 'none'
  snesmf_reuse_base = false
[]

[Debug]
  show_var_residual_norms = true
[]

[Outputs]
  exodus = true
  csv = true
[]

[Preconditioning]
  [smp]
    type = SMP
    full = true
  []
[]

[Postprocessors]
  active = 'num_nl cumulative contact'
  [num_nl]
    type = NumNonlinearIterations
  []
  [cumulative]
    type = CumulativeValuePostprocessor
    postprocessor = num_nl
  []
  [contact]
    type = ContactDOFSetSize
    variable = mortar_normal_lm
    subdomain = 'secondary_lower'
    execute_on = 'nonlinear timestep_end'
  []
[]

[VectorPostprocessors]
  [contact-pressure]
    type = NodalValueSampler
    block = secondary_lower
    variable = mortar_normal_lm
    sort_by = 'id'
    execute_on = NONLINEAR
  []
[]

(modules/porous_flow/test/tests/hysteresis/hys_pc_1.i)

# Capillary-pressure calculation.  First-order wetting curve
# When comparing the results with a by-hand computation, remember the MOOSE results are averaged over an element
# Also, when using info_required=sat, remember that: (1) the hysteretic capillary pressure is not invertible if no high extension is used; (2) if saturation exceeds the turning point (eg sat <= 0.1) then the drying curve will be used
[Mesh]
  [mesh]
    type = GeneratedMeshGenerator
    dim = 1
    xmin = 0
    xmax = 1
    nx = 100
  []
[]

[GlobalParams]
  PorousFlowDictator = dictator
[]

[UserObjects]
  [dictator]
    type = PorousFlowDictator
    number_fluid_phases = 1
    number_fluid_components = 1
    porous_flow_vars = ''
  []
[]

[Variables]
  [sat]
  []
[]

[ICs]
  [sat]
    type = FunctionIC
    variable = sat
    function = 'x'
  []
[]

[BCs]
  [sat]
    type = FunctionDirichletBC
    variable = sat
    function = 'x'
    boundary = 'left right'
  []
[]


[Kernels]
  [dummy]
    type = Diffusion
    variable = sat
  []
[]

[Materials]
  [hys_order]
    type = PorousFlowHysteresisOrder
    initial_order = 1
    previous_turning_points = 0.1
  []
  [pc_calculator]
    type = PorousFlowHystereticInfo
    alpha_d = 10.0
    alpha_w = 7.0
    n_d = 1.5
    n_w = 1.9
    S_l_min = 0.1
    S_lr = 0.2
    S_gr_max = 0.3
    Pc_max = 12.0
    high_ratio = 0.9
    low_extension_type = none
    high_extension_type = none
    sat_var = sat
  []
[]

[AuxVariables]
  [hys_order]
    family = MONOMIAL
    order = CONSTANT
  []
  [pc]
    family = MONOMIAL
    order = CONSTANT
  []
[]

[AuxKernels]
  [hys_order]
    type = PorousFlowPropertyAux
    variable = hys_order
    property = hysteresis_order
  []
  [pc]
    type = PorousFlowPropertyAux
    variable = pc
    property = hysteretic_info
  []
[]

[VectorPostprocessors]
  [pc]
    type = LineValueSampler
    warn_discontinuous_face_values = false
    start_point = '0 0 0'
    end_point = '1 0 0'
    num_points = 10
    sort_by = x
    variable = 'sat pc'
  []
[]

[Executioner]
  type = Transient
  solve_type = Linear
  dt = 1
  end_time = 1
[]

[Outputs]
  csv = true
[]

(test/tests/kernels/vector_fe/electromagnetic_coulomb_gauge.i)

# This is an MMS problem that demonstrates solution of Maxwell's equations in the
# Coulomb gauge potential form. The equations solved are:
# -\nabla^2 V = f_{V,mms}
# -\nabla^2 A - \omega^2 A + \nabla \frac{\partial V}{\partial t} = f_{A,mms}
# This tests the value and gradient of a VectorMooseVariable as well as the time
# derivative of the gradient of a standard MooseVariable
#
# This input file is subject to two tests:
# 1) An exodiff test of the physics
# 2) A Jacobian test to verify accuracy of hand-coded Jacobian routines

[Mesh]
  type = GeneratedMesh
  dim = 2
  nx = 15
  ny = 15
  xmin = -1
  ymin = -1
[]

[Variables]
  [./V]
  [../]
  [./A]
    family = LAGRANGE_VEC
    order = FIRST
    scaling = 1e-10
  [../]
[]

[Kernels]
  [./diff]
    type = CoefDiffusion
    variable = V
    coef = 5
  [../]
  [./V_frc]
    type = BodyForce
    function = 'V_forcing_function'
    variable = V
  [../]
  [./A_diff]
    type = VectorCoefDiffusion
    variable = A
    coef = 5
  [../]
  [./A_coeff_reaction]
    type = VectorCoeffReaction
    variable = A
    coefficient = -.09
  [../]
  [./A_coupled_grad_td]
    type = VectorCoupledGradientTimeDerivative
    variable = A
    v = V
  [../]
  [./A_frc]
    type = VectorBodyForce
    variable = A
    function_x = 'Ax_forcing_function'
    function_y = 'Ay_forcing_function'
    function_z = '0'
  [../]
[]

[BCs]
  [./bnd_V]
    type = FunctionDirichletBC
    variable = V
    boundary = 'left right top bottom'
    function = 'V_exact_sln'
  [../]
  [./bnd_A]
    type = VectorPenaltyDirichletBC
    variable = A
    x_exact_sln = 'Ax_exact_sln'
    y_exact_sln = 'Ay_exact_sln'
    z_exact_sln = '0'
    penalty = 1e10
    boundary = 'left right top bottom'
  [../]
[]

[Functions]
  [./V_exact_sln]
    type = ParsedFunction
    expression = 'cos(0.3*t)*cos(1.1*x)*cos(1.2*y)'
  [../]
  [./Ax_exact_sln]
    type = ParsedFunction
    expression = 'cos(0.3*t)*cos(0.4*x)*cos(0.5*y)'
  [../]
  [./Ay_exact_sln]
    type = ParsedFunction
    expression = 'cos(0.3*t)*cos(0.6*x)*cos(0.7*y)'
  [../]
  [./V_forcing_function]
    type = ParsedFunction
    expression = '0.33*sin(0.3*t)*sin(1.1*x)*cos(1.2*y) + 13.25*cos(0.3*t)*cos(1.1*x)*cos(1.2*y)'
  [../]
  [./Ax_forcing_function]
    type = ParsedFunction
    expression = '0.33*sin(0.3*t)*sin(1.1*x)*cos(1.2*y) + 1.96*cos(0.3*t)*cos(0.4*x)*cos(0.5*y)'
  [../]
  [./Ay_forcing_function]
    type = ParsedFunction
    expression = '0.36*sin(0.3*t)*sin(1.2*y)*cos(1.1*x) + 4.16*cos(0.3*t)*cos(0.6*x)*cos(0.7*y)'
  [../]
[]

[Preconditioning]
  [./pre]
    type = SMP
    full = true
  [../]
[]

[Executioner]
  type = Transient
  num_steps = 10
  end_time = 3
  l_max_its = 100
  solve_type = 'NEWTON'
  petsc_options_iname = '-pc_type -ksp_gmres_restart'
  petsc_options_value = 'asm 100'
  petsc_options = '-ksp_converged_reason -ksp_monitor_true_residual -ksp_monitor_singular_value -snes_linesearch_monitor'
  line_search = 'bt'
[]

[Outputs]
  exodus = true
  print_linear_residuals = false
[]

[Debug]
  show_var_residual_norms = true
[]

(modules/combined/test/tests/internal_volume/hex20.i)

#
# Internal Volume Test
#
# This test is designed to compute the internal volume of a space considering
#   an embedded volume inside.
#
# The mesh is composed of one block (1) with an interior cavity of volume 8.
#   Block 2 sits in the cavity and has a volume of 1.  Thus, the total volume
#   is 7.
#
[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]

[Mesh]
  file = meshes/hex20.e
[]

[Functions]
  [./step]
    type = PiecewiseLinear
    x = '0. 1. 2. 3.'
    y = '0. 0. 1e-2 0.'
    scale_factor = 0.5
  [../]
[]

[Variables]
  [./disp_x]
    order = SECOND
    family = LAGRANGE
  [../]

  [./disp_y]
    order = SECOND
    family = LAGRANGE
  [../]

  [./disp_z]
    order = SECOND
    family = LAGRANGE
  [../]
[]

[Physics/SolidMechanics/QuasiStatic]
  [./all]
    incremental = true
    strain = FINITE
  [../]
[]

[BCs]
  [./no_x]
    type = DirichletBC
    variable = disp_x
    boundary = 100
    value = 0.0
  [../]

  [./no_y]
    type = DirichletBC
    variable = disp_y
    boundary = 100
    value = 0.0
  [../]

  [./prescribed_z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 100
    function = step
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeIsotropicElasticityTensor
    block = '1 2'
    youngs_modulus = 1e6
    poissons_ratio = 0.3
  [../]

  [./stress]
    type = ComputeFiniteStrainElasticStress
    block = '1 2'
  [../]
[]

[Preconditioning]
  [./SMP]
    type = SMP
    full = true
  []
[]

[Executioner]
  type = Transient
  solve_type = PJFNK

  start_time = 0.0
  dt = 1.0
  end_time = 3.0

  [./Quadrature]
    order = THIRD
  [../]
[]

[Postprocessors]
  [./internalVolume]
    type = InternalVolume
    boundary = 100
    execute_on = 'initial timestep_end'
  [../]

  [./dispZ]
    type = ElementAverageValue
    block = '1 2'
    variable = disp_z
  [../]
[]

[Outputs]
  csv = true
[]

(modules/solid_mechanics/test/tests/multi/three_surface22.i)

# Plasticit models:
# SimpleTester0 with a = 0 and b = 1 and strength = 1
# SimpleTester1 with a = 1 and b = 0 and strength = 1
# SimpleTester2 with a = 1 and b = 1 and strength = 1.5
#
# Lame lambda = 0 (Poisson=0).  Lame mu = 0.5E6
#
# A single element is stretched by 1.7E-6m in y direction and 1.1E-6 in z direction.
# trial stress_yy = 1.7 and stress_zz = 1.1
#
# Then all yield functions will activate
# However, there is linear dependence.  SimpleTester0 will be rutned off.
# The algorithm will return to
# stress_yy=1.0 and stress_zz=0.5
# internal1=0.1, internal2=0.6


[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]


[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
[]

[Kernels]
  [SolidMechanics]
    displacements = 'disp_x disp_y disp_z'
  [../]
[]


[BCs]
  [./x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'front back'
    function = '0E-6*x'
  [../]
  [./y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'front back'
    function = '1.7E-6*y'
  [../]
  [./z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'front back'
    function = '1.1E-6*z'
  [../]
[]

[AuxVariables]
  [./stress_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f0]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f1]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f2]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./int0]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./int1]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./int2]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]

[AuxKernels]
  [./stress_xx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xx
    index_i = 0
    index_j = 0
  [../]
  [./stress_xy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xy
    index_i = 0
    index_j = 1
  [../]
  [./stress_xz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xz
    index_i = 0
    index_j = 2
  [../]
  [./stress_yy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yy
    index_i = 1
    index_j = 1
  [../]
  [./stress_yz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yz
    index_i = 1
    index_j = 2
  [../]
  [./stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zz
    index_i = 2
    index_j = 2
  [../]
  [./f0]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 0
    variable = f0
  [../]
  [./f1]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 1
    variable = f1
  [../]
  [./f2]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 2
    variable = f2
  [../]
  [./int0]
    type = MaterialStdVectorAux
    property = plastic_internal_parameter
    factor = 1E6
    index = 0
    variable = int0
  [../]
  [./int1]
    type = MaterialStdVectorAux
    property = plastic_internal_parameter
    factor = 1E6
    index = 1
    variable = int1
  [../]
  [./int2]
    type = MaterialStdVectorAux
    property = plastic_internal_parameter
    factor = 1E6
    index = 2
    variable = int2
  [../]
[]

[Postprocessors]
  [./s_xx]
    type = PointValue
    point = '0 0 0'
    variable = stress_xx
  [../]
  [./s_xy]
    type = PointValue
    point = '0 0 0'
    variable = stress_xy
  [../]
  [./s_xz]
    type = PointValue
    point = '0 0 0'
    variable = stress_xz
  [../]
  [./s_yy]
    type = PointValue
    point = '0 0 0'
    variable = stress_yy
  [../]
  [./s_yz]
    type = PointValue
    point = '0 0 0'
    variable = stress_yz
  [../]
  [./s_zz]
    type = PointValue
    point = '0 0 0'
    variable = stress_zz
  [../]
  [./f0]
    type = PointValue
    point = '0 0 0'
    variable = f0
  [../]
  [./f1]
    type = PointValue
    point = '0 0 0'
    variable = f1
  [../]
  [./f2]
    type = PointValue
    point = '0 0 0'
    variable = f2
  [../]
  [./int0]
    type = PointValue
    point = '0 0 0'
    variable = int0
  [../]
  [./int1]
    type = PointValue
    point = '0 0 0'
    variable = int1
  [../]
  [./int2]
    type = PointValue
    point = '0 0 0'
    variable = int2
  [../]
[]

[UserObjects]
  [./simple0]
    type = SolidMechanicsPlasticSimpleTester
    a = 0
    b = 1
    strength = 1
    yield_function_tolerance = 1.0E-9
    internal_constraint_tolerance = 1.0E-9
  [../]
  [./simple1]
    type = SolidMechanicsPlasticSimpleTester
    a = 1
    b = 0
    strength = 1
    yield_function_tolerance = 1.0E-9
    internal_constraint_tolerance = 1.0E-9
  [../]
  [./simple2]
    type = SolidMechanicsPlasticSimpleTester
    a = 1
    b = 1
    strength = 1.5
    yield_function_tolerance = 1.0E-9
    internal_constraint_tolerance = 1.0E-9
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    block = 0
    fill_method = symmetric_isotropic
    C_ijkl = '0 0.5E6'
  [../]
  [./strain]
    type = ComputeFiniteStrain
    block = 0
    displacements = 'disp_x disp_y disp_z'
  [../]
  [./multi]
    type = ComputeMultiPlasticityStress
    block = 0
    ep_plastic_tolerance = 1E-9
    plastic_models = 'simple0 simple1 simple2'
    max_NR_iterations = 2
    min_stepsize = 1
    debug_fspb = crash
    debug_jac_at_stress = '10 0 0 0 10 0 0 0 10'
    debug_jac_at_pm = '1 1'
    debug_jac_at_intnl = '1 1'
    debug_stress_change = 1E-5
    debug_pm_change = '1E-6 1E-6'
    debug_intnl_change = '1E-6 1E-6'
  [../]
[]


[Executioner]
  end_time = 1
  dt = 1
  type = Transient
[]


[Outputs]
  file_base = three_surface22
  exodus = false
  [./csv]
    type = CSV
    [../]
[]

(modules/porous_flow/test/tests/energy_conservation/heat04_rz.i)

# The sample is a single unit element in RZ coordinates
# A constant velocity is applied to the outer boundary is free to move as a source injects heat and fluid into the system
# There is no fluid flow or heat flow.
# Heat energy conservation is checked.
# Mass conservation is checked
[Mesh]
  type = GeneratedMesh
  dim = 2
  nx = 1
  ny = 1
  xmin = 1
  xmax = 2
  ymin = -0.5
  ymax = 0.5
  coord_type = RZ
[]

[GlobalParams]
  displacements = 'disp_r disp_z'
  PorousFlowDictator = dictator
  block = 0
  biot_coefficient = 0.3
[]

[Variables]
  [disp_r]
  []
  [disp_z]
  []
  [pp]
    initial_condition = 0.1
  []
  [temp]
    initial_condition = 10
  []
[]

[BCs]
  [plane_strain]
    type = DirichletBC
    variable = disp_z
    value = 0
    boundary = 'bottom top'
  []
  [rmin_fixed]
    type = DirichletBC
    variable = disp_r
    value = 0
    boundary = left
  []
  [contract]
    type = FunctionDirichletBC
    variable = disp_r
    function = -0.01*t
    boundary = right
  []
[]

[PorousFlowFullySaturated]
  coupling_type = ThermoHydroMechanical
  porepressure = pp
  temperature = temp
  fp = simple_fluid
[]

[DiracKernels]
  [heat_source]
    type = PorousFlowPointSourceFromPostprocessor
    point = '1.5 0 0'
    variable = temp
    mass_flux = 10
  []
  [fluid_source]
    type = PorousFlowPointSourceFromPostprocessor
    point = '1.5 0 0'
    variable = pp
    mass_flux = 1
  []
[]

[FluidProperties]
  [simple_fluid]
    type = SimpleFluidProperties
    bulk_modulus = 0.5
    density0 = 1
    viscosity = 1
    thermal_expansion = 0
    cv = 1.3
  []
[]

[Materials]
  [elasticity_tensor]
    type = ComputeElasticityTensor
    C_ijkl = '1 1.5'
    # bulk modulus is lambda + 2*mu/3 = 1 + 2*1.5/3 = 2
    fill_method = symmetric_isotropic
  []
  [strain]
    type = ComputeAxisymmetricRZSmallStrain
  []
  [stress]
    type = ComputeLinearElasticStress
  []
  [porosity]
    type = PorousFlowPorosity
    porosity_zero = 0.1
  []
  [rock_heat]
    type = PorousFlowMatrixInternalEnergy
    specific_heat_capacity = 2.2
    density = 0.5
  []
  [permeability]
    type = PorousFlowPermeabilityConst
    permeability = '0.5 0 0   0 0.5 0   0 0 0.5'
  []
  [thermal_cond]
    type = PorousFlowThermalConductivityIdeal
    dry_thermal_conductivity = '1 0 0  0 1 0  0 0 1'
  []
[]

[Postprocessors]
  [p0]
    type = PointValue
    outputs = 'console csv'
    execute_on = 'initial timestep_end'
    point = '1 0 0'
    variable = pp
  []
  [t0]
    type = PointValue
    outputs = 'console csv'
    execute_on = 'initial timestep_end'
    point = '1 0 0'
    variable = temp
  []
  [rdisp]
    type = PointValue
    outputs = 'csv console'
    point = '2 0 0'
    use_displaced_mesh = false
    variable = disp_r
  []
  [fluid_mass]
    type = PorousFlowFluidMass
    fluid_component = 0
    execute_on = 'initial timestep_end'
    outputs = 'console csv'
  []
  [total_heat]
    type = PorousFlowHeatEnergy
    phase = 0
    execute_on = 'initial timestep_end'
    outputs = 'console csv'
  []
  [rock_heat]
    type = PorousFlowHeatEnergy
    execute_on = 'initial timestep_end'
    outputs = 'console csv'
  []
  [fluid_heat]
    type = PorousFlowHeatEnergy
    include_porous_skeleton = false
    phase = 0
    execute_on = 'initial timestep_end'
    outputs = 'console csv'
  []
[]

[Preconditioning]
  [andy]
    type = SMP
    full = true
  []
[]

[Executioner]
  type = Transient
  solve_type = Newton
  dt = 2
  end_time = 10
[]

[Outputs]
  execute_on = 'initial timestep_end'
  [csv]
    type = CSV
  []
[]

(modules/contact/test/tests/non-singular-frictional-mortar/frictional-mortar.i)

offset = 0.0202

vy = 0.15
vx = 0.040

refine = 1

[GlobalParams]
  displacements = 'disp_x disp_y'
  volumetric_locking_correction = true
[]

[Mesh]
  [./original_file_mesh]
    type = FileMeshGenerator
    file = long_short_blocks.e
  [../]
  uniform_refine =  ${refine}
[]

[Physics/SolidMechanics/QuasiStatic]
  [./all]
    strain = FINITE
    incremental = true
    add_variables = true
    block = '1 2'
    scaling = 1e-6
  [../]
[]

[Functions]
  [./horizontal_movement]
    type = ParsedFunction
    expression = 'if(t<1.0,${vx}*t-${offset},${vx}-${offset})'
  [../]
  [./vertical_movement]
    type = ParsedFunction
    expression = 'if(t<1.0,${offset},${vy}*(t-1.0)+${offset})'
  [../]
[]

[BCs]
  [./push_left_x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 30
    function = horizontal_movement
  [../]
  [./fix_right_x]
    type = DirichletBC
    variable = disp_x
    boundary = 40
    value = 0.0
  [../]
  [./fix_right_y]
    type = DirichletBC
    variable = disp_y
    boundary = '40'
    value = 0.0
  [../]
  [./push_left_y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = '30'
    function = vertical_movement
  [../]
[]

[Materials]
  [./elasticity_tensor_left]
    type = ComputeIsotropicElasticityTensor
    block = 1
    youngs_modulus = 1.0e6
    poissons_ratio = 0.3
  [../]
  [./stress_left]
    type = ComputeFiniteStrainElasticStress
    block = 1
  [../]

  [./elasticity_tensor_right]
    type = ComputeIsotropicElasticityTensor
    block = 2
    youngs_modulus = 1.0e6
    poissons_ratio = 0.3
  [../]
  [./stress_right]
    type = ComputeFiniteStrainElasticStress
    block = 2
  [../]
[]

[Contact]
  [leftright]
    secondary = 10
    primary = 20

    model = coulomb
    formulation = mortar

    friction_coefficient = 0.2
    c_tangential = 1e3
    normal_lm_scaling = 1e-3
    tangential_lm_scaling = 1e-3
  [../]
[]

[ICs]
  [./disp_y]
    block = 1
    variable = disp_y
    value = ${offset}
    type = ConstantIC
  [../]
  [./disp_x]
    block = 1
    variable = disp_x
    value = -${offset}
    type = ConstantIC
  [../]
[]

[Preconditioning]
  [./smp]
    type = SMP
    full = true
  [../]
[]

[Executioner]
  type = Transient

petsc_options = '-snes_converged_reason -ksp_converged_reason -pc_svd_monitor -snes_ksp_ew -pc_svd_monitor'

  petsc_options_iname = '-pc_type -mat_mffd_err'
  petsc_options_value = 'svd      1e-5'

  dt = 0.1
  dtmin = 0.1
  num_steps = 7
  end_time = 4
  line_search = none
  snesmf_reuse_base = false
[]

[Debug]
  show_var_residual_norms = true
[]

[Outputs]
  [./exodus]
    type = Exodus
  [../]
[]

(modules/heat_transfer/test/tests/NAFEMS/transient/T3/nafems_t3_edge_template.i)


[Mesh]
  type = GeneratedMesh
  dim = 1
  nx = 5
  xmin = 0.0
  xmax = 0.1
  elem_type = EDGE2
[]

[Variables]
  [./temp]
    initial_condition = 0.0
  [../]
[]

[BCs]
  [./FixedTempLeft]
    type = DirichletBC
    variable = temp
    boundary = left
    value = 0.0
  [../]
  [./FunctionTempRight]
    type = FunctionDirichletBC
    variable = temp
    boundary = right
    function = '100.0 * sin(pi*t/40)'
  [../]
[]

[Kernels]
  [./heat]
    type = HeatConduction
    variable = temp
  [../]
  [./HeatTdot]
    type = HeatConductionTimeDerivative
    variable = temp
  [../]
[]

[Materials]
  [./density]
    type = GenericConstantMaterial
    prop_names = 'thermal_conductivity specific_heat density'
    prop_values = '35.0 440.5 7200.0'
  [../]
[]

[Executioner]
  type = Transient
  solve_type = 'PJFNK'

  l_tol = 1e-5
  nl_max_its = 50
  nl_rel_tol = 1e-10
  nl_abs_tol = 1e-12

  dt = 1
  end_time = 32.0
[]

[Postprocessors]
  [./target_temp]
    type = NodalVariableValue
    variable = temp
    nodeid = 4
  [../]
[]

[Outputs]
  csv = true
[]

(modules/porous_flow/test/tests/poro_elasticity/mandel_basicthm.i)

# using a BasicTHM Action
#
# Mandel's problem of consolodation of a drained medium
# Using the FullySaturatedDarcyBase and FullySaturatedFullySaturatedMassTimeDerivative kernels
# with multiply_by_density = false, so that this problem becomes linear
#
# A sample is in plane strain.
# -a <= x <= a
# -b <= y <= b
# It is squashed with constant force by impermeable, frictionless plattens on its top and bottom surfaces (at y=+/-b)
# Fluid is allowed to leak out from its sides (at x=+/-a)
# The porepressure within the sample is monitored.
#
# As is common in the literature, this is simulated by
# considering the quarter-sample, 0<=x<=a and 0<=y<=b, with
# impermeable, roller BCs at x=0 and y=0 and y=b.
# Porepressure is fixed at zero on x=a.
# Porepressure and displacement are initialised to zero.
# Then the top (y=b) is moved downwards with prescribed velocity,
# so that the total force that is inducing this downwards velocity
# is fixed.  The velocity is worked out by solving Mandel's problem
# analytically, and the total force is monitored in the simulation
# to check that it indeed remains constant.
#
# Here are the problem's parameters, and their values:
# Soil width.  a = 1
# Soil height.  b = 0.1
# Soil's Lame lambda.  la = 0.5
# Soil's Lame mu, which is also the Soil's shear modulus.  mu = G = 0.75
# Soil bulk modulus.  K = la + 2*mu/3 = 1
# Drained Poisson ratio.  nu = (3K - 2G)/(6K + 2G) = 0.2
# Soil bulk compliance.  1/K = 1
# Fluid bulk modulus.  Kf = 8
# Fluid bulk compliance.  1/Kf = 0.125
# Soil initial porosity.  phi0 = 0.1
# Biot coefficient.  alpha = 0.6
# Biot modulus.  M = 1/(phi0/Kf + (alpha - phi0)(1 - alpha)/K) = 4.705882
# Undrained bulk modulus. Ku = K + alpha^2*M = 2.694118
# Undrained Poisson ratio.  nuu = (3Ku - 2G)/(6Ku + 2G) = 0.372627
# Skempton coefficient.  B = alpha*M/Ku = 1.048035
# Fluid mobility (soil permeability/fluid viscosity).  k = 1.5
# Consolidation coefficient.  c = 2*k*B^2*G*(1-nu)*(1+nuu)^2/9/(1-nuu)/(nuu-nu) = 3.821656
# Normal stress on top.  F = 1
#
# The solution for porepressure and displacements is given in
# AHD Cheng and E Detournay "A direct boundary element method for plane strain poroelasticity" International Journal of Numerical and Analytical Methods in Geomechanics 12 (1988) 551-572.
# The solution involves complicated infinite series, so I shall not write it here

[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 10
  ny = 1
  nz = 1
  xmin = 0
  xmax = 1
  ymin = 0
  ymax = 0.1
  zmin = 0
  zmax = 1
[]

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
  PorousFlowDictator = dictator
  block = 0
[]

[Variables]
  [disp_x]
  []
  [disp_y]
  []
  [disp_z]
  []
  [porepressure]
  []
[]

[BCs]
  [roller_xmin]
    type = DirichletBC
    variable = disp_x
    value = 0
    boundary = 'left'
  []
  [roller_ymin]
    type = DirichletBC
    variable = disp_y
    value = 0
    boundary = 'bottom'
  []
  [plane_strain]
    type = DirichletBC
    variable = disp_z
    value = 0
    boundary = 'back front'
  []
  [xmax_drained]
    type = DirichletBC
    variable = porepressure
    value = 0
    boundary = right
  []
  [top_velocity]
    type = FunctionDirichletBC
    variable = disp_y
    function = top_velocity
    boundary = top
  []
[]

[Functions]
  [top_velocity]
    type = PiecewiseLinear
    x = '0 0.002 0.006   0.014   0.03    0.046   0.062   0.078   0.094   0.11    0.126   0.142   0.158   0.174   0.19 0.206 0.222 0.238 0.254 0.27 0.286 0.302 0.318 0.334 0.35 0.366 0.382 0.398 0.414 0.43 0.446 0.462 0.478 0.494 0.51 0.526 0.542 0.558 0.574 0.59 0.606 0.622 0.638 0.654 0.67 0.686 0.702'
    y = '-0.041824842    -0.042730269    -0.043412712    -0.04428867     -0.045509181    -0.04645965     -0.047268246 -0.047974749      -0.048597109     -0.0491467  -0.049632388     -0.050061697      -0.050441198     -0.050776675     -0.051073238      -0.0513354 -0.051567152      -0.051772022     -0.051953128 -0.052113227 -0.052254754 -0.052379865 -0.052490464 -0.052588233 -0.052674662 -0.052751065 -0.052818606 -0.052878312 -0.052931093 -0.052977751 -0.053018997 -0.053055459 -0.053087691 -0.053116185 -0.053141373 -0.05316364 -0.053183324 -0.053200724 -0.053216106 -0.053229704 -0.053241725 -0.053252351 -0.053261745 -0.053270049 -0.053277389 -0.053283879 -0.053289615'
  []
[]

[AuxVariables]
  [tot_force]
    order = CONSTANT
    family = MONOMIAL
  []
[]

[AuxKernels]
  [tot_force]
    type = ParsedAux
    coupled_variables = 'stress_yy porepressure'
    execute_on = timestep_end
    variable = tot_force
    expression = '-stress_yy+0.6*porepressure'
  []
[]

[FluidProperties]
  [the_simple_fluid]
    type = SimpleFluidProperties
    thermal_expansion = 0.0
    bulk_modulus = 8.0
    viscosity = 1.0
    density0 = 1.0
  []
[]

[PorousFlowBasicTHM]
  coupling_type = HydroMechanical
  displacements = 'disp_x disp_y disp_z'
  multiply_by_density = false
  porepressure = porepressure
  biot_coefficient = 0.6
  gravity = '0 0 0'
  fp = the_simple_fluid
[]

[Materials]
  [elasticity_tensor]
    type = ComputeElasticityTensor
    C_ijkl = '0.5 0.75'
    # bulk modulus is lambda + 2*mu/3 = 0.5 + 2*0.75/3 = 1
    fill_method = symmetric_isotropic
  []
  [strain]
    type = ComputeSmallStrain
  []
  [stress]
    type = ComputeLinearElasticStress
  []
  [porosity]
    type = PorousFlowPorosityConst # only the initial value of this is ever used
    porosity = 0.1
  []
  [biot_modulus]
    type = PorousFlowConstantBiotModulus
    biot_coefficient = 0.6
    solid_bulk_compliance = 1
    fluid_bulk_modulus = 8
  []
  [permeability]
    type = PorousFlowPermeabilityConst
    permeability = '1.5 0 0   0 1.5 0   0 0 1.5'
  []
[]

[Postprocessors]
  [p0]
    type = PointValue
    outputs = csv
    point = '0.0 0 0'
    variable = porepressure
  []
  [p1]
    type = PointValue
    outputs = csv
    point = '0.1 0 0'
    variable = porepressure
  []
  [p2]
    type = PointValue
    outputs = csv
    point = '0.2 0 0'
    variable = porepressure
  []
  [p3]
    type = PointValue
    outputs = csv
    point = '0.3 0 0'
    variable = porepressure
  []
  [p4]
    type = PointValue
    outputs = csv
    point = '0.4 0 0'
    variable = porepressure
  []
  [p5]
    type = PointValue
    outputs = csv
    point = '0.5 0 0'
    variable = porepressure
  []
  [p6]
    type = PointValue
    outputs = csv
    point = '0.6 0 0'
    variable = porepressure
  []
  [p7]
    type = PointValue
    outputs = csv
    point = '0.7 0 0'
    variable = porepressure
  []
  [p8]
    type = PointValue
    outputs = csv
    point = '0.8 0 0'
    variable = porepressure
  []
  [p9]
    type = PointValue
    outputs = csv
    point = '0.9 0 0'
    variable = porepressure
  []
  [p99]
    type = PointValue
    outputs = csv
    point = '1 0 0'
    variable = porepressure
  []
  [xdisp]
    type = PointValue
    outputs = csv
    point = '1 0.1 0'
    variable = disp_x
  []
  [ydisp]
    type = PointValue
    outputs = csv
    point = '1 0.1 0'
    variable = disp_y
  []
  [total_downwards_force]
     type = ElementAverageValue
     outputs = csv
     variable = tot_force
  []
  [dt]
    type = FunctionValuePostprocessor
    outputs = console
    function = if(0.15*t<0.01,0.15*t,0.01)
  []
[]


[Preconditioning]
  [andy]
    type = SMP
    full = true
    petsc_options_iname = '-ksp_type -pc_type -sub_pc_type -snes_atol -snes_rtol -snes_max_it'
    petsc_options_value = 'gmres asm lu 1E-14 1E-10 10000'
  []
[]

[Executioner]
  type = Transient
  solve_type = Newton
  start_time = 0
  end_time = 0.7
  [TimeStepper]
    type = PostprocessorDT
    postprocessor = dt
    dt = 0.001
  []
[]

[Outputs]
  execute_on = 'timestep_end'
  file_base = mandel_basicthm
  [csv]
    time_step_interval = 3
    type = CSV
  []
[]

(test/tests/geomsearch/2d_moving_penetration/pl_test3nns.i)

[GlobalParams]
  order = FIRST
  family = LAGRANGE
[]

[Mesh]
  file = pl_test3.e
  displacements = 'disp_x disp_y'
[]

[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
[]

[AuxVariables]
  [./distance]
  [../]
  [./tangential_distance]
  [../]
  [./normal_x]
  [../]
  [./normal_y]
  [../]
  [./closest_point_x]
  [../]
  [./closest_point_y]
  [../]
  [./element_id]
  [../]
  [./side]
  [../]
[]

[Kernels]
  [./diff_x]
    type = Diffusion
    variable = disp_x
  [../]
  [./diff_y]
    type = Diffusion
    variable = disp_y
  [../]
[]

[AuxKernels]
  [./penetrate]
    type = PenetrationAux
    variable = distance
    boundary = 11            #secondary
    paired_boundary = 12     #primary
  [../]

  [./penetrate2]
    type = PenetrationAux
    variable = distance
    boundary = 12            #secondary
    paired_boundary = 11     #primary
    normal_smoothing_method = nodal_normal_based
  [../]

  [./penetrate3]
    type = PenetrationAux
    variable = tangential_distance
    boundary = 11
    paired_boundary = 12
    quantity = tangential_distance
  [../]

  [./penetrate4]
    type = PenetrationAux
    variable = tangential_distance
    boundary = 12
    paired_boundary = 11
    quantity = tangential_distance
  [../]

  [./penetrate5]
    type = PenetrationAux
    variable = normal_x
    boundary = 11
    paired_boundary = 12
    quantity = normal_x
  [../]

  [./penetrate6]
    type = PenetrationAux
    variable = normal_x
    boundary = 12
    paired_boundary = 11
    quantity = normal_x
  [../]

  [./penetrate7]
    type = PenetrationAux
    variable = normal_y
    boundary = 11
    paired_boundary = 12
    quantity = normal_y
  [../]

  [./penetrate8]
    type = PenetrationAux
    variable = normal_y
    boundary = 12
    paired_boundary = 11
    quantity = normal_y
  [../]

  [./penetrate9]
    type = PenetrationAux
    variable = closest_point_x
    boundary = 11
    paired_boundary = 12
    quantity = closest_point_x
  [../]

  [./penetrate10]
    type = PenetrationAux
    variable = closest_point_x
    boundary = 12
    paired_boundary = 11
    quantity = closest_point_x
  [../]

  [./penetrate11]
    type = PenetrationAux
    variable = closest_point_y
    boundary = 11
    paired_boundary = 12
    quantity = closest_point_y
  [../]

  [./penetrate12]
    type = PenetrationAux
    variable = closest_point_y
    boundary = 12
    paired_boundary = 11
    quantity = closest_point_y
  [../]

  [./penetrate13]
    type = PenetrationAux
    variable = element_id
    boundary = 11
    paired_boundary = 12
    quantity = element_id
  [../]

  [./penetrate14]
    type = PenetrationAux
    variable = element_id
    boundary = 12
    paired_boundary = 11
    quantity = element_id
  [../]

  [./penetrate15]
    type = PenetrationAux
    variable = side
    boundary = 11
    paired_boundary = 12
    quantity = side
  [../]

  [./penetrate16]
    type = PenetrationAux
    variable = side
    boundary = 12
    paired_boundary = 11
    quantity = side
  [../]
[]

[BCs]
  [./b1x]
    type = DirichletBC
    variable = disp_x
    boundary = 1
    value = 0
  [../]

  [./b1y]
    type = DirichletBC
    variable = disp_y
    boundary = 1
    value = 0
  [../]

  [./b2x]
    type = DirichletBC
    variable = disp_x
    boundary = 2
    value = 0
  [../]

  [./b2y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 2
    function = disp_y
  [../]
[]

[Functions]
  [./disp_y]
    type = PiecewiseLinear
    x = '0.0 0.25 0.75 1.0'
    y = '0.0 2.0 -2.0  0.0'
  [../]
[]

[Executioner]
  type = Transient

  solve_type = 'PJFNK'
  petsc_options = '-snes_ksp_ew'

  nl_rel_tol = 1e-10
  l_max_its = 10

  start_time = 0.0
  dt = 0.0125
  end_time = 1.0
[]

[Outputs]
  file_base = pl_test3nns_out
  exodus = true
[]

[NodalNormals]
  boundary = 11
  corner_boundary = 20
[]

(modules/solid_mechanics/test/tests/uel/tensile_uel_umat_moose_temperature.i)

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]

[Mesh]
  [mesh]
    type = GeneratedMeshGenerator
    dim = 3
    nx = 1
    ny = 1
    nz = 1
    elem_type = HEX8
  []
  [extra_nodeset]
    type = ExtraNodesetGenerator
    input = mesh
    new_boundary = 'master'
    coord = '1.0 1.0 1.0'
  []
[]

[AuxVariables]
  [temperature]
    initial_condition = 500
  []
[]

[Variables]
  [disp_x]
  []
  [disp_y]
  []
  [disp_z]
  []
[]

[Functions]
  [function_pull]
    type = PiecewiseLinear
    x = '0 100'
    y = '0 0.1'
  []
[]

[Constraints]
  [one]
    type = LinearNodalConstraint
    variable = disp_x
    primary = '6'
    secondary_node_ids = '1 2 5'
    penalty = 1.0e8
    formulation = kinematic
    weights = '1'
  []
  [two]
    type = LinearNodalConstraint
    variable = disp_z
    primary = '6'
    secondary_node_ids = '4 5 7'
    penalty = 1.0e8
    formulation = kinematic
    weights = '1'
  []
[]

[BCs]
  [symmy]
    type = DirichletBC
    variable = disp_y
    boundary = bottom
    value = 0
  []
  [symmx]
    type = DirichletBC
    variable = disp_x
    boundary = left
    value = 0
  []
  [symmz]
    type = DirichletBC
    variable = disp_z
    boundary = back
    value = 0
  []
  # What's done below is to capture the weird constraints
  [axial_load]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'top'
    function = function_pull
  []
[]

[UserObjects]
  [uel]
    type = AbaqusUserElement
    variables = 'disp_x disp_y'
    plugin = '../../../../solid_mechanics/examples/uel_build/uel'
    use_displaced_mesh = false

    aux_variables = temperature # TODO
    #use_one_based_indexing = true # TODO

    jtype = 17
    num_state_vars = 177
    constant_properties = '190 28.0 3.0 1.0 6.0 0.0 0.0 23.0 25.0 26.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 '
                          '0.0 0.0 0.0 0.0 0.0 31700000.0 0.32 6.67e-06 1e-08 5000.0 4.0' # 28 properties
    extra_vector_tags = 'kernel_residual'
  []
[]

[Problem]
  kernel_coverage_check = false
  extra_tag_vectors = 'kernel_residual'
[]

[AuxVariables]
  [res_x]
  []
  [res_y]
  []
[]

[AuxKernels]
  [res_x]
    type = TagVectorAux
    variable = res_x
    v = disp_x
    vector_tag = kernel_residual
  []
  [res_y]
    type = TagVectorAux
    variable = res_y
    v = disp_y
    vector_tag = kernel_residual
  []
[]

[Preconditioning]
  [smp]
    type = SMP
    full = true
  []
[]

[Executioner]
  type = Transient

  l_max_its = 100
  l_tol = 1e-8
  nl_max_its = 50
  nl_rel_tol = 1e-8
  nl_abs_tol = 1e-8

  dtmin = 1
  dt = 5
  end_time = 100
[]

[Outputs]
  exodus = true
[]

(modules/solid_mechanics/test/tests/j2_plasticity/small_deform1.i)

# UserObject J2 test
# apply uniform stretch in x, y and z directions.
# no plasticity should be observed

[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]


[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
[]

[Kernels]
  [SolidMechanics]
    displacements = 'disp_x disp_y disp_z'
  [../]
[]


[BCs]
  [./x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'front back'
    function = '1E-6*x'
  [../]
  [./y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'front back'
    function = '1E-6*y'
  [../]
  [./z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'front back'
    function = '1E-6*z'
  [../]
[]

[AuxVariables]
  [./stress_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./iter]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]

[AuxKernels]
  [./stress_xx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xx
    index_i = 0
    index_j = 0
  [../]
  [./stress_xy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xy
    index_i = 0
    index_j = 1
  [../]
  [./stress_xz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xz
    index_i = 0
    index_j = 2
  [../]
  [./stress_yy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yy
    index_i = 1
    index_j = 1
  [../]
  [./stress_yz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yz
    index_i = 1
    index_j = 2
  [../]
  [./stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zz
    index_i = 2
    index_j = 2
  [../]
  [./f]
    type = MaterialStdVectorAux
    index = 0
    property = plastic_yield_function
    variable = f
  [../]
  [./iter]
    type = MaterialRealAux
    property = plastic_NR_iterations
    variable = iter
  [../]
[]

[Postprocessors]
  [./s_xx]
    type = PointValue
    point = '0 0 0'
    variable = stress_xx
  [../]
  [./s_xy]
    type = PointValue
    point = '0 0 0'
    variable = stress_xy
  [../]
  [./s_xz]
    type = PointValue
    point = '0 0 0'
    variable = stress_xz
  [../]
  [./s_yy]
    type = PointValue
    point = '0 0 0'
    variable = stress_yy
  [../]
  [./s_yz]
    type = PointValue
    point = '0 0 0'
    variable = stress_yz
  [../]
  [./s_zz]
    type = PointValue
    point = '0 0 0'
    variable = stress_zz
  [../]
  [./f]
    type = PointValue
    point = '0 0 0'
    variable = f
  [../]
  [./iter]
    type = PointValue
    point = '0 0 0'
    variable = iter
  [../]
[]

[UserObjects]
  [./str]
    type = SolidMechanicsHardeningConstant
    value = 1
  [../]
  [./j2]
    type = SolidMechanicsPlasticJ2
    yield_strength = str
    yield_function_tolerance = 1E-3
    internal_constraint_tolerance = 1E-9
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    block = 0
    fill_method = symmetric_isotropic
    C_ijkl = '0 1E6'
  [../]
  [./strain]
    type = ComputeFiniteStrain
    block = 0
    displacements = 'disp_x disp_y disp_z'
  [../]
  [./mc]
    type = ComputeMultiPlasticityStress
    block = 0
    ep_plastic_tolerance = 1E-9
    plastic_models = j2
    debug_fspb = crash
  [../]
[]


[Executioner]
  end_time = 1
  dt = 1
  type = Transient
[]


[Outputs]
  file_base = small_deform1
  exodus = false
  [./csv]
    type = CSV
    [../]
[]

(modules/solid_mechanics/test/tests/umat/multiple_blocks/multiple_blocks_two_materials.i)

# Testing the UMAT Interface - linear elastic model using the large strain formulation.

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]

[Mesh]
  [mesh_1]
    type = GeneratedMeshGenerator
    dim = 3
    xmin = -0.5
    xmax = 0.5
    ymin = -0.5
    ymax = 0.5
    zmin = -0.5
    zmax = 0.5
  []
  [block_1]
    type = SubdomainIDGenerator
    input = mesh_1
    subdomain_id = 1
  []
  [mesh_2]
    type = GeneratedMeshGenerator
    dim = 3
    xmin = -2.0
    xmax = -1.0
    ymin = -2.0
    ymax = -1.0
    zmin = -2.0
    zmax = -1.
    boundary_name_prefix = 'second'
  []
  [block_2]
    type = SubdomainIDGenerator
    input = mesh_2
    subdomain_id = 2
  []
  [combined]
    type = CombinerGenerator
    inputs = 'block_1 block_2'
  []
[]

[Functions]
  [top_pull]
    type = ParsedFunction
    value = t/100
  []
  # Forced evolution of temperature
  [temperature_load]
    type = ParsedFunction
    value = '273'
  []
  # Factor to multiply the elasticity tensor in MOOSE
  [elasticity_prefactor]
    type = ParsedFunction
    value = '1'
  []
[]

[AuxVariables]
  [temperature]
  []
[]

[AuxKernels]
  [temperature_function]
    type = FunctionAux
    variable = temperature
    function = temperature_load
  []
[]

[Physics/SolidMechanics/QuasiStatic]
  [all]
    add_variables = true
    strain = FINITE
    generate_output = 'stress_yy'
  []
[]

[BCs]
  [y_pull_function]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = top
    function = top_pull
  []
  [x_bot]
    type = DirichletBC
    variable = disp_x
    boundary = left
    value = 0.0
  []
  [y_bot]
    type = DirichletBC
    variable = disp_y
    boundary = bottom
    value = 0.0
  []
  [z_bot]
    type = DirichletBC
    variable = disp_z
    boundary = front
    value = 0.0
  []
[]

[Materials]
  [umat_1]
    type = AbaqusUMATStress
    constant_properties = '1000 0.3'
    plugin = '../../../plugins/elastic_temperature'
    num_state_vars = 0
    temperature = temperature
    use_one_based_indexing = true
    block = '1'
  []
  # Linear strain hardening
  [umat_2]
    type = AbaqusUMATStress
    #  Young's modulus,  Poisson's Ratio, Yield, Hardening
    constant_properties = '1000 0.3 100 100'
    plugin = '../../../plugins/linear_strain_hardening'
    num_state_vars = 3
    use_one_based_indexing = true
    block = '2'
  []

  [elastic]
    type = ComputeIsotropicElasticityTensor
    youngs_modulus = 1000
    poissons_ratio = 0.3
    elasticity_tensor_prefactor = 'elasticity_prefactor'
  []
[]

[Executioner]
  type = Transient
  solve_type = 'PJFNK'

  petsc_options = '-snes_ksp_ew'
  petsc_options_iname = '-ksp_gmres_restart'
  petsc_options_value = '101'

  line_search = 'none'

  l_max_its = 100
  nl_max_its = 100
  nl_rel_tol = 1e-12
  nl_abs_tol = 1e-10
  l_tol = 1e-9
  start_time = 0.0
  num_steps = 30
  dt = 1.0
[]

[Preconditioning]
  [smp]
    type = SMP
    full = true
  []
[]

[Outputs]
  exodus = true
[]

(modules/xfem/test/tests/moving_interface/moving_bimaterial.i)

# This test is for two layer materials with different youngs modulus
# The global stress is determined by switching the stress based on level set values
# The material interface is marked by a level set function
# The two layer materials are glued together
# This case is also meant to test for a bug in moving interfaces on displaced meshes
# It should fail during the healing step of the 2nd timestep if the bug is present.

[GlobalParams]
  order = FIRST
  family = LAGRANGE
[]

[XFEM]
  qrule = volfrac
  output_cut_plane = true
[]

[UserObjects]
  [./level_set_cut_uo]
    type = LevelSetCutUserObject
    level_set_var = ls
    heal_always = true
  [../]
[]

[Mesh]
  displacements = 'disp_x disp_y'
  [generated_mesh]
    type = GeneratedMeshGenerator
    dim = 2
    nx = 5
    ny = 5
    xmin = 0.0
    xmax = 5.
    ymin = 0.0
    ymax = 5.
    elem_type = QUAD4
  []
  [./left_bottom]
    type = ExtraNodesetGenerator
    new_boundary = 'left_bottom'
    coord = '0.0 0.0'
    input = generated_mesh
  [../]
  [./left_top]
    type = ExtraNodesetGenerator
    new_boundary = 'left_top'
    coord = '0.0 5.'
    input = left_bottom
  [../]
[]

[AuxVariables]
  [./ls]
    order = FIRST
    family = LAGRANGE
  [../]
[]

[AuxKernels]
  [./ls_function]
    type = FunctionAux
    variable = ls
    function = ls_func
  [../]
[]

[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
[]

[Functions]
  [./ls_func]
    type = ParsedFunction
    expression = 'y-3.153 + t'
  [../]
[]

[AuxVariables]
  [./stress_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./a_strain_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./a_strain_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./a_strain_xy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./b_strain_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./b_strain_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./b_strain_xy]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]

[Kernels]
  [./TensorMechanics]
    displacements = 'disp_x disp_y'
  [../]
[]

[AuxKernels]
  [./stress_xx]
    type = RankTwoAux
    rank_two_tensor = stress
    index_i = 0
    index_j = 0
    variable = stress_xx
  [../]
  [./stress_yy]
    type = RankTwoAux
    rank_two_tensor = stress
    index_i = 1
    index_j = 1
    variable = stress_yy
  [../]
  [./stress_xy]
    type = RankTwoAux
    rank_two_tensor = stress
    index_i = 0
    index_j = 1
    variable = stress_xy
  [../]
  [./a_strain_xx]
    type = RankTwoAux
    rank_two_tensor = A_total_strain
    index_i = 0
    index_j = 0
    variable = a_strain_xx
  [../]
  [./a_strain_yy]
    type = RankTwoAux
    rank_two_tensor = A_total_strain
    index_i = 1
    index_j = 1
    variable = a_strain_yy
  [../]
  [./a_strain_xy]
    type = RankTwoAux
    rank_two_tensor = A_total_strain
    index_i = 0
    index_j = 1
    variable = a_strain_xy
  [../]
  [./b_strain_xx]
    type = RankTwoAux
    rank_two_tensor = B_total_strain
    index_i = 0
    index_j = 0
    variable = b_strain_xx
  [../]
  [./b_strain_yy]
    type = RankTwoAux
    rank_two_tensor = B_total_strain
    index_i = 1
    index_j = 1
    variable = b_strain_yy
  [../]
  [./b_strain_xy]
    type = RankTwoAux
    rank_two_tensor = B_total_strain
    index_i = 0
    index_j = 1
    variable = b_strain_xy
  [../]
[]

[Constraints]
  [./dispx_constraint]
    type = XFEMSingleVariableConstraint
    use_displaced_mesh = false
    variable = disp_x
    alpha = 1e8
    geometric_cut_userobject = 'level_set_cut_uo'
  [../]
  [./dispy_constraint]
    type = XFEMSingleVariableConstraint
    use_displaced_mesh = false
    variable = disp_y
    alpha = 1e8
    geometric_cut_userobject = 'level_set_cut_uo'
  [../]
[]

[BCs]
  [./bottomx]
    type = DirichletBC
    boundary = bottom
    variable = disp_x
    value = 0.0
  [../]
  [./bottomy]
    type = DirichletBC
    boundary = bottom
    variable = disp_y
    value = 0.0
  [../]
  [./topx]
    type = FunctionDirichletBC
    boundary = top
    variable = disp_x
    function = 0.03*t
  [../]
  [./topy]
    type = FunctionDirichletBC
    boundary = top
    variable = disp_y
    function = '0.03*t'
  [../]
[]

[Materials]
  [./elasticity_tensor_A]
    type = ComputeIsotropicElasticityTensor
    base_name = A
    youngs_modulus = 1e9
    poissons_ratio = 0.3
  [../]
  [./strain_A]
    type = ComputeSmallStrain
    base_name = A
    displacements = 'disp_x disp_y'
  [../]
  [./stress_A]
    type = ComputeLinearElasticStress
    base_name = A
  [../]
  [./elasticity_tensor_B]
    type = ComputeIsotropicElasticityTensor
    base_name = B
    youngs_modulus = 1e7
    poissons_ratio = 0.3
  [../]
  [./strain_B]
    type = ComputeSmallStrain
    base_name = B
    displacements = 'disp_x disp_y'
  [../]
  [./stress_B]
    type = ComputeLinearElasticStress
    base_name = B
  [../]
  [./combined_stress]
    type = LevelSetBiMaterialRankTwo
    levelset_positive_base = 'A'
    levelset_negative_base = 'B'
    level_set_var = ls
    prop_name = stress
  [../]
  [./combined_dstressdstrain]
    type = LevelSetBiMaterialRankFour
    levelset_positive_base = 'A'
    levelset_negative_base = 'B'
    level_set_var = ls
    prop_name = Jacobian_mult
  [../]
[]

[Executioner]
  type = Transient

  solve_type = 'PJFNK'
  petsc_options_iname = '-ksp_gmres_restart -pc_type -pc_hypre_type -pc_hypre_boomeramg_max_iter'
  petsc_options_value = '201                hypre    boomeramg      8'

  line_search = 'bt'

# controls for linear iterations
  l_max_its = 20
  l_tol = 1e-3

# controls for nonlinear iterations
  nl_max_its = 15
  nl_rel_tol = 1e-12
  nl_abs_tol = 1e-12

# time control
  start_time = 0.0
  dt = 0.15
  num_steps = 3

  max_xfem_update = 1
[]

[Outputs]
  exodus = true
  execute_on = timestep_end
  [./console]
    type = Console
    output_linear = true
  [../]
[]

(modules/xfem/test/tests/high_order_elements/diffusion_3d.i)

[GlobalParams]
  order = SECOND
  family = LAGRANGE
[]

[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 3
  ny = 5
  nz = 2
  xmin = 0.0
  xmax = 1.0
  ymin = 0.0
  ymax = 1.0
  zmin = 0.0
  zmax = 0.2
  elem_type = TET10
[]

[XFEM]
  qrule = volfrac
  output_cut_plane = true
[]

[UserObjects]
  [./square_planar_cut_uo]
    type = RectangleCutUserObject
    cut_data = '  0.35 1.01 -0.001
                  0.35 0.49 -0.001
                  0.35 0.49  0.201
                  0.35 1.01  0.201'
  [../]
[]

[Variables]
  [./u]
  [../]
[]

[Functions]
  [./u_left]
    type = PiecewiseLinear
    x = '0   2'
    y = '0  0.1'
  [../]
[]

[Kernels]
  [./diff]
    type = Diffusion
    variable = u
  [../]
[]

[BCs]
# Define boundary conditions
  [./left_u]
    type = FunctionDirichletBC
    variable = u
    boundary = left
    function = u_left
  [../]

  [./right_u]
    type = DirichletBC
    variable = u
    boundary = right
    value = 0
  [../]
[]

[Executioner]
  type = Transient
  solve_type = 'PJFNK'
  petsc_options_iname = '-pc_type -pc_hypre_type'
  petsc_options_value = 'hypre boomeramg'
  line_search = 'none'

  l_tol = 1e-3
  nl_max_its = 15
  nl_rel_tol = 1e-10
  nl_abs_tol = 1e-10

  start_time = 0.0
  dt = 1.0
  end_time = 1.0
[]

[Outputs]
  time_step_interval = 1
  execute_on = timestep_end
  exodus = true
  [./console]
    type = Console
    output_linear = true
  [../]
[]

(test/tests/outputs/variables/show_hide.i)

# Solving for 2 variables, putting one into hide list and the other one into show list
# We should only see the variable that is in show list in the output.

[Mesh]
  type = GeneratedMesh
  dim = 2
  xmin = 0
  xmax = 1
  ymin = 0
  ymax = 1
  nx = 2
  ny = 2
  elem_type = QUAD4
[]

[Functions]
  [./bc_fn]
    type = ParsedFunction
    expression = x
  [../]
[]

[Variables]
  [./u]
  [../]

  [./v]
  [../]
[]

[Kernels]
  [./diff]
    type = Diffusion
    variable = u
  [../]

  [./diff_v]
    type = Diffusion
    variable = v
  [../]
[]

[BCs]
  [./lr_u]
    type = FunctionDirichletBC
    variable = u
    boundary = '1 3'
    function = bc_fn
  [../]

  [./lr_v]
    type = FunctionDirichletBC
    variable = v
    boundary = '1 3'
    function = bc_fn
  [../]
[]

[Executioner]
  type = Steady
  solve_type = 'NEWTON'
[]

[Outputs]
  console = true
  [./out]
    type = Exodus
    show = 'u'
    hide = 'v'
  [../]
[]

(test/tests/functions/parsed/mms_transient_coupled.i)

###########################################################
# This is a simple test of the Function System. This
# test uses forcing terms produced from analytical
# functions of space and time to verify a solution
# using MMS.
#
# @Requirement F6.20
###########################################################


[Mesh]
  type = GeneratedMesh
  dim = 2
  xmin = 0.0
  xmax = 1.0
  nx = 10
  ymin = 0.0
  ymax = 1.0
  ny = 10
  uniform_refine = 2
  elem_type = QUAD4
[]

[Variables]
  [./u]
  [../]
  [./v]
  [../]
[]

[Functions]
  [./v_left_bc]
    # Left-side boundary condition for v equation, v(0,y,t) = u(0.5,y,t). This is accomplished using a PointValue postprocessor, which is what this input file was designed to test.
    type = ParsedFunction
    expression = a
    symbol_values = u_midpoint
    symbol_names = a
  [../]
  [./u_mms_func]
    # MMS Forcing function for the u equation.
    type = ParsedFunction
    expression = ' 20*exp(20*t)*x*x*x-6*exp(20*t)*x-(2-0.125*exp(20*t))*sin(5/2*x*pi)-0.125*exp(20*t)-1
'
  [../]
  [./v_mms_func]
    # MMS forcing function for the v equation.
    type = ParsedFunction
    expression = -2.5*exp(20*t)*sin(5/2*x*pi)+2.5*exp(20*t)+25/4*(2-0.125*exp(20*t))*sin(5/2*x*pi)*pi*pi
  [../]
  [./u_right_bc]
    type = ParsedFunction
    expression = 3*exp(20*t) # \nabla{u}|_{x=1} = 3\exp(20*t)
  [../]
  [./u_exact]
    # Exact solution for the MMS function for the u variable.
    type = ParsedFunction
    expression = exp(20*t)*pow(x,3)+1
  [../]
  [./v_exact]
    # Exact MMS solution for v.
    type = ParsedFunction
    expression = (2-0.125*exp(20*t))*sin(5/2*pi*x)+0.125*exp(20*t)+1
  [../]
[]

[Kernels]
  # Strong Form:
  # \frac{\partial u}{\partial t} - \nabla \cdot 0.5 \nabla u - v = 0
  # \frac{\partial u}{\partial t} - \nabla \cdot \nabla v = 0
  #
  # BCs:
  # u(0,y,t) = 1
  # \nabla u |_{x=1} = 3\exp(20*t)
  # v(0,y,t) = u(0.5,y,t)
  # v(1,y,t) = 3
  # \nabla u |_{y=0,1} = 0
  # \nabla v |_{y=0,1} = 0
  #
  [./u_time]
    type = TimeDerivative
    variable = u
  [../]
  [./u_diff]
    type = Diffusion
    variable = u
  [../]
  [./u_source]
    type = CoupledForce
    variable = u
    v = v
  [../]
  [./v_diff]
    type = Diffusion
    variable = v
  [../]
  [./u_mms]
    type = BodyForce
    variable = u
    function = u_mms_func
  [../]
  [./v_mms]
    type = BodyForce
    variable = v
    function = v_mms_func
  [../]
  [./v_time]
    type = TimeDerivative
    variable = v
  [../]
[]

[BCs]
  [./u_left]
    type = DirichletBC
    variable = u
    boundary = left # x=0
    value = 1 # u(0,y,t)=1
  [../]
  [./u_right]
    type = FunctionNeumannBC
    variable = u
    boundary = right # x=1
    function = u_right_bc # \nabla{u}|_{x=1}=3\exp(20t)
  [../]
  [./v_left]
    type = FunctionDirichletBC
    variable = v
    boundary = left # x=0
    function = v_left_bc # v(0,y,t) = u(0.5,y,t)
  [../]
  [./v_right]
    type = DirichletBC
    variable = v
    boundary = right # x=1
    value = 3 # v(1,y,t) = 3
  [../]
[]

[Postprocessors]
  [./u_midpoint]
    type = PointValue
    variable = u
    point = '0.5 0.5 0'
    execute_on = 'initial timestep_end'
  [../]
  [./u_midpoint_exact]
    type = FunctionValuePostprocessor
    function = u_exact
    point = '0.5 0.5 0.0'
    execute_on = 'initial timestep_end'
  [../]
  [./u_error]
    type = ElementL2Error
    variable = u
    function = u_exact
    execute_on = 'initial timestep_end'
  [../]
  [./v_error]
    type = ElementL2Error
    variable = v
    function = v_exact
    execute_on = 'initial timestep_end'
  [../]
[]

[Executioner]
  type = Transient
  dt = 0.01

  solve_type = NEWTON

  end_time = 0.1
  scheme = crank-nicolson
[]

[Outputs]
  exodus = true
[]

[ICs]
  [./u_initial]
    # Use the MMS exact solution to compute the initial conditions.
    function = u_exact
    variable = u
    type = FunctionIC
  [../]
  [./v_exact]
    # Use the MMS exact solution to compute the initial condition.
    function = v_exact
    variable = v
    type = FunctionIC
  [../]
[]

(modules/solid_mechanics/test/tests/finite_strain_elastic/finite_strain_elastic_new_test.i)

[Mesh]
  type = GeneratedMesh
  dim = 3
  elem_type = HEX8
[]

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]

[Functions]
  [./tdisp]
    type = ParsedFunction
    expression = '0.01 * t'
  [../]
[]

[Physics]
  [SolidMechanics]
    [QuasiStatic]
      [./all]
        strain = FINITE
        add_variables = true
      [../]
    [../]
  [../]
[]

[BCs]
  [./symmy]
    type = DirichletBC
    variable = disp_y
    boundary = bottom
    value = 0
  [../]
  [./symmx]
    type = DirichletBC
    variable = disp_x
    boundary = left
    value = 0
  [../]
  [./symmz]
    type = DirichletBC
    variable = disp_z
    boundary = back
    value = 0
  [../]
  [./tdisp]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = front
    function = tdisp
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    C_ijkl = '1.684e5 0.176e5 0.176e5 1.684e5 0.176e5 1.684e5 0.754e5 0.754e5 0.754e5'
    fill_method = symmetric9
  [../]
  [./stress]
    type = ComputeFiniteStrainElasticStress
  [../]
[]

[Preconditioning]
  [./smp]
    type = SMP
    full = true
  [../]
[]

[Executioner]
  type = Transient
  dt = 0.05

  #Preconditioned JFNK (default)
  solve_type = 'PJFNK'

  petsc_options_iname = -pc_hypre_type
  petsc_options_value = boomeramg
  nl_abs_tol = 1e-10
  nl_rel_step_tol = 1e-10
  dtmax = 10.0
  nl_rel_tol = 1e-10
  end_time = 1
  dtmin = 0.05
  num_steps = 10
  nl_abs_step_tol = 1e-10
[]

[Outputs]
  exodus = true
[]

(test/tests/functions/function_file_format/function_file_format_test.i)

# This tests the capability of the code to read input files in csv or space separated format.
# There are four variables and four functions of the same name; a,b,c, and d.  The diffusion equation is "solved"
# for each of these variables with a boundary condition of type FunctionDirchletBC applied to a boundary
# (i.e. node set) that includes every node in the element, so the solution is the boundary condition defined by the function.
#  Each boundary condition uses a function of type PiecewiseLinear that gets its value from a file,
# which could be in comma separated or space separated format.  The input file can also contain comments.
#
# The files could have the form
# 0,1,2,3 # time
# 0,4,5,6 # bc value
# for format = row
# or
# 0,0
# 1,4
# 2,5
# 3,6
# for format = column
# Values in files could be separated by white space.  See the .csv and .dat files for format examples.
#
# The value of the variables should correspond to the function.
# At time = 0, the variable = 0, at time = 1, variable = 4 and so on.
[Mesh]
  file = cube.e
  # This problem only has 1 element, so using DistributedMesh in parallel
  # isn't really an option, and we don't care that much about DistributedMesh
  # in serial.
  parallel_type = replicated
[]

[Variables]
  [a]
  []
  [b]
  []
  [c]
  []
  [d]
  []
  [e]
  []
  [f]
  []
[]

[Functions]
  [a]
    type = PiecewiseLinear
    data_file = rows.csv
    format = rows
  []
  [b]
    type = PiecewiseLinear
    data_file = columns.csv
    format = columns
  []
  [c]
    type = PiecewiseLinear
    data_file = rows_space.dat
    format = rows
  []
  [d]
    type = PiecewiseLinear
    data_file = columns_space.dat
    format = columns
  []
  [e_func]
    type = PiecewiseLinear
    data_file = rows_more_data.csv
    format = rows
    xy_in_file_only = false
  []
  [f]
    type = PiecewiseLinear
    data_file = columns_more_data.csv
    format = columns
    xy_in_file_only = false
  []
[]

[Kernels]
  [diffa]
    type = Diffusion
    variable = a
  []
  [diffb]
    type = Diffusion
    variable = b
  []
  [diffc]
    type = Diffusion
    variable = c
  []
  [diffd]
    type = Diffusion
    variable = d
  []
  [diffe]
    type = Diffusion
    variable = e
  []
  [difff]
    type = Diffusion
    variable = f
  []
[]

[BCs]
  [a]
    type = FunctionDirichletBC
    variable = a
    boundary = '1'
    function = a
  []
  [b]
    type = FunctionDirichletBC
    variable = b
    boundary = '1'
    function = b
  []
  [c]
    type = FunctionDirichletBC
    variable = c
    boundary = '1'
    function = c
  []
  [d]
    type = FunctionDirichletBC
    variable = d
    boundary = '1'
    function = d
  []
  [e]
    type = FunctionDirichletBC
    variable = e
    boundary = '1'
    function = e_func
  []
  [f]
    type = FunctionDirichletBC
    variable = f
    boundary = '1'
    function = f
  []
[]

[Executioner]
  type = Transient
  dt = 0.5
  end_time = 3
  nl_rel_tol = 1e-12
[]

[Outputs]
  file_base = out
  exodus = true
[]

(modules/navier_stokes/test/tests/finite_element/ins/rz-x-axial-coord/hand-coded-jac-pipe-flow-natural-bc.i)

mu=1
rho=1
pipe_length=10 # m
pipe_radius=1 # m
u_inlet=1

[GlobalParams]
  integrate_p_by_parts = true
  supg = true
  pspg = true
[]

[Mesh]
  [gen]
    type = GeneratedMeshGenerator
    dim = 2
    xmin = 0
    xmax = ${pipe_length}
    ymin = 0
    ymax = ${pipe_radius}
    nx = 50
    ny = 5
  []
  coord_type = 'RZ'
  rz_coord_axis = x
[]

[Variables]
  [velocity_x]
    family = LAGRANGE
  []
  [velocity_y]
    family = LAGRANGE
  []
  [p][]
[]

[Kernels]
  [mass]
    type = INSMassRZ
    variable = p
    u = velocity_x
    v = velocity_y
    pressure = p
  []
  [x_momentum]
    type = INSMomentumLaplaceFormRZ
    variable = velocity_x
    u = velocity_x
    v = velocity_y
    pressure = p
    component = 0
  []
  [y_momentum]
    type = INSMomentumLaplaceFormRZ
    variable = velocity_y
    u = velocity_x
    v = velocity_y
    pressure = p
    component = 1
  []
[]

[Functions]
  [vel_x_inlet]
    type = ParsedFunction
    expression = '${u_inlet} * (${pipe_radius}^2 - y^2)'
  []
[]

[BCs]
  [inlet_x]
    type = FunctionDirichletBC
    variable = velocity_x
    boundary = 'left'
    function = vel_x_inlet
  []
  [zero_y]
    type = FunctionDirichletBC
    variable = velocity_y
    boundary = 'left top bottom'
    function = 0
  []
  [zero_x]
    type = FunctionDirichletBC
    variable = velocity_x
    boundary = 'top'
    function = 0
  []
[]

[Materials]
  [const]
    type = GenericConstantMaterial
    prop_names = 'rho mu'
    prop_values = '${rho} ${mu}'
  []
[]

[Executioner]
  type = Steady
  solve_type = 'NEWTON'
  petsc_options_iname = '-pc_type'
  petsc_options_value = 'lu'
  nl_rel_tol = 1e-12
  nl_abs_tol = 1e-12
  line_search = 'none'
[]

[Outputs]
  exodus = true
[]

(modules/combined/test/tests/cavity_pressure/3d.i)

#
# Cavity Pressure Test
#
# This test is designed to compute an internal pressure based on
#   p = n * R * T / V
# where
#   p is the pressure
#   n is the amount of material in the volume (moles)
#   R is the universal gas constant
#   T is the temperature
#   V is the volume
#
# The mesh is composed of one block (1) with an interior cavity of volume 8.
#   Block 2 sits in the cavity and has a volume of 1.  Thus, the total
#   initial volume is 7.
# The test adjusts n, T, and V in the following way:
#   n => n0 + alpha * t
#   T => T0 + beta * t
#   V => V0 + gamma * t
# with
#   alpha = n0
#   beta = T0 / 2
#   gamma = - (0.003322259...) * V0
#   T0 = 240.54443866068704
#   V0 = 7
#   n0 = f(p0)
#   p0 = 100
#   R = 8.314472 J * K^(-1) * mol^(-1)
#
# So, n0 = p0 * V0 / R / T0 = 100 * 7 / 8.314472 / 240.544439
#        = 0.35
#
# The parameters combined at t = 1 gives p = 301.
#

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
  volumetric_locking_correction = true
[]

[Mesh]
  file = 3d.e
[]

[Functions]
  [displ_positive]
    type = PiecewiseLinear
    x = '0 1'
    y = '0 0.0029069767441859684'
  []
  [displ_negative]
    type = PiecewiseLinear
    x = '0 1'
    y = '0 -0.0029069767441859684'
  []
  [temp1]
    type = PiecewiseLinear
    x = '0 1'
    y = '1 1.5'
    scale_factor = 240.54443866068704
  []
  [material_input_function]
    type = PiecewiseLinear
    x = '0    1'
    y = '0 0.35'
  []
[]

[Variables]
  [disp_x]
  []
  [disp_y]
  []
  [disp_z]
  []
  [temp]
    initial_condition = 240.54443866068704
  []
  [material_input]
  []
[]

[AuxVariables]
  [pressure_residual_x]
  []
  [pressure_residual_y]
  []
  [pressure_residual_z]
  []
  [stress_xx]
    order = CONSTANT
    family = MONOMIAL
  []
  [stress_yy]
    order = CONSTANT
    family = MONOMIAL
  []
  [stress_zz]
    order = CONSTANT
    family = MONOMIAL
  []
  [stress_xy]
    order = CONSTANT
    family = MONOMIAL
  []
  [stress_yz]
    order = CONSTANT
    family = MONOMIAL
  []
  [stress_zx]
    order = CONSTANT
    family = MONOMIAL
  []
[]

[Kernels]
  [TensorMechanics]
    use_displaced_mesh = true
  []
  [heat]
    type = Diffusion
    variable = temp
    use_displaced_mesh = true
  []
  [material_input_dummy]
    type = Diffusion
    variable = material_input
    use_displaced_mesh = true
  []
[]

[AuxKernels]
  [stress_xx]
    type = RankTwoAux
    rank_two_tensor = stress
    index_i = 0
    index_j = 0
    variable = stress_xx
  []
  [stress_yy]
    type = RankTwoAux
    rank_two_tensor = stress
    index_i = 1
    index_j = 1
    variable = stress_yy
  []
  [stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    index_i = 2
    index_j = 2
    variable = stress_zz
  []
  [stress_xy]
    type = RankTwoAux
    rank_two_tensor = stress
    index_i = 0
    index_j = 1
    variable = stress_xy
  []
  [stress_yz]
    type = RankTwoAux
    rank_two_tensor = stress
    index_i = 1
    index_j = 2
    variable = stress_yz
  []
  [stress_zx]
    type = RankTwoAux
    rank_two_tensor = stress
    index_i = 2
    index_j = 0
    variable = stress_zx
  []
[]

[BCs]
  [no_x_exterior]
    type = DirichletBC
    variable = disp_x
    boundary = '7 8'
    value = 0.0
  []
  [no_y_exterior]
    type = DirichletBC
    variable = disp_y
    boundary = '9 10'
    value = 0.0
  []
  [no_z_exterior]
    type = DirichletBC
    variable = disp_z
    boundary = '11 12'
    value = 0.0
  []
  [prescribed_left]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 13
    function = displ_positive
  []
  [prescribed_right]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 14
    function = displ_negative
  []
  [no_y]
    type = DirichletBC
    variable = disp_y
    boundary = '15 16'
    value = 0.0
  []
  [no_z]
    type = DirichletBC
    variable = disp_z
    boundary = '17 18'
    value = 0.0
  []
  [no_x_interior]
    type = DirichletBC
    variable = disp_x
    boundary = '1 2'
    value = 0.0
  []
  [no_y_interior]
    type = DirichletBC
    variable = disp_y
    boundary = '3 4'
    value = 0.0
  []
  [no_z_interior]
    type = DirichletBC
    variable = disp_z
    boundary = '5 6'
    value = 0.0
  []
  [temperatureInterior]
    type = FunctionDirichletBC
    boundary = 100
    function = temp1
    variable = temp
  []
  [MaterialInput]
    type = FunctionDirichletBC
    boundary = '100 13 14 15 16'
    function = material_input_function
    variable = material_input
  []
  [CavityPressure]
    [1]
      boundary = 100
      initial_pressure = 100
      material_input = materialInput
      R = 8.314472
      temperature = aveTempInterior
      volume = internalVolume
      startup_time = 0.5
      output = ppress
      save_in = 'pressure_residual_x pressure_residual_y pressure_residual_z'
    []
  []
[]

[Materials]
  [elast_tensor1]
    type = ComputeIsotropicElasticityTensor
    youngs_modulus = 1e1
    poissons_ratio = 0
    block = 1
  []
  [strain1]
    type = ComputeFiniteStrain
    block = 1
  []
  [stress1]
    type = ComputeFiniteStrainElasticStress
    block = 1
  []
  [elast_tensor2]
    type = ComputeIsotropicElasticityTensor
    youngs_modulus = 1e6
    poissons_ratio = 0
    block = 2
  []
  [strain2]
    type = ComputeFiniteStrain
    block = 2
  []
  [stress2]
    type = ComputeFiniteStrainElasticStress
    block = 2
  []
[]

[Executioner]
  type = Transient

  petsc_options_iname = '-pc_type -sub_pc_type'
  petsc_options_value = 'asm       lu'

  nl_rel_tol = 1e-12
  l_tol = 1e-12

  l_max_its = 20

  dt = 0.5
  end_time = 1.0
  use_pre_SMO_residual = true
[]

[Postprocessors]
  [internalVolume]
    type = InternalVolume
    boundary = 100
    execute_on = 'initial linear'
  []
  [aveTempInterior]
    type = SideAverageValue
    boundary = 100
    variable = temp
    execute_on = 'initial linear'
  []
  [materialInput]
    type = SideAverageValue
    boundary = '7 8 9 10 11 12'
    variable = material_input
    execute_on = linear
  []
[]

[Outputs]
  exodus = true
[]

(modules/solid_mechanics/test/tests/drucker_prager/small_deform2_inner_edge.i)

# apply repeated stretches in x, y and z directions, so that mean_stress = 0
# This maps out the yield surface in the octahedral plane for zero mean stress

[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]


[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
[]

[Kernels]
  [SolidMechanics]
    displacements = 'disp_x disp_y disp_z'
  [../]
[]


[BCs]
  [./x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'front back'
    function = '-1.5E-6*x+2E-6*x*sin(t)'
  [../]
  [./y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'front back'
    function = '2E-6*y*sin(2*t)'
  [../]
  [./z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'front back'
    function = '-2E-6*z*(sin(t)+sin(2*t))'
  [../]
[]

[AuxVariables]
  [./stress_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./yield_fcn]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]

[AuxKernels]
  [./stress_xx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xx
    index_i = 0
    index_j = 0
  [../]
  [./stress_xy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xy
    index_i = 0
    index_j = 1
  [../]
  [./stress_xz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xz
    index_i = 0
    index_j = 2
  [../]
  [./stress_yy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yy
    index_i = 1
    index_j = 1
  [../]
  [./stress_yz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yz
    index_i = 1
    index_j = 2
  [../]
  [./stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zz
    index_i = 2
    index_j = 2
  [../]
  [./yield_fcn_auxk]
    type = MaterialStdVectorAux
    index = 0
    property = plastic_yield_function
    variable = yield_fcn
  [../]
[]

[Postprocessors]
  [./s_xx]
    type = PointValue
    point = '0 0 0'
    variable = stress_xx
  [../]
  [./s_xy]
    type = PointValue
    point = '0 0 0'
    variable = stress_xy
  [../]
  [./s_xz]
    type = PointValue
    point = '0 0 0'
    variable = stress_xz
  [../]
  [./s_yy]
    type = PointValue
    point = '0 0 0'
    variable = stress_yy
  [../]
  [./s_yz]
    type = PointValue
    point = '0 0 0'
    variable = stress_yz
  [../]
  [./s_zz]
    type = PointValue
    point = '0 0 0'
    variable = stress_zz
  [../]
  [./f]
    type = PointValue
    point = '0 0 0'
    variable = yield_fcn
  [../]
  [./f0]
    type = PointValue
    point = '0 0 0'
    variable = yield_fcn
  [../]
  [./f1]
    type = PointValue
    point = '0 0 0'
    variable = yield_fcn
  [../]
[]

[UserObjects]
  [./mc_coh]
    type = SolidMechanicsHardeningConstant
    value = 10
  [../]
  [./mc_phi]
    type = SolidMechanicsHardeningConstant
    value = 20
    convert_to_radians = true
  [../]
  [./mc_psi]
    type = SolidMechanicsHardeningConstant
    value = 0
  [../]
  [./mc]
    type = SolidMechanicsPlasticDruckerPragerHyperbolic
    mc_cohesion = mc_coh
    mc_friction_angle = mc_phi
    mc_dilation_angle = mc_psi
    smoother = 4
    mc_interpolation_scheme = inner_edge
    yield_function_tolerance = 1E-5
    internal_constraint_tolerance = 1E-11
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    block = 0
    fill_method = symmetric_isotropic
    C_ijkl = '0 1E7'
  [../]
  [./strain]
    type = ComputeIncrementalStrain
    block = 0
    displacements = 'disp_x disp_y disp_z'
  [../]
  [./mc]
    type = ComputeMultiPlasticityStress
    block = 0
    ep_plastic_tolerance = 1E-12
    plastic_models = mc
    debug_fspb = crash
  [../]
[]


[Executioner]
  end_time = 100
  dt = 1
  type = Transient
[]


[Outputs]
  file_base = small_deform2_inner_edge
  exodus = false
  [./csv]
    type = CSV
    [../]
[]

(modules/solid_mechanics/test/tests/crystal_plasticity/stress_update_material_based/rotation_matrix_update_euler_angle_111_orientation.i)

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]

[Mesh]
  type = GeneratedMesh
  dim = 3
  elem_type = HEX8
[]

[AuxVariables]
  [euler_angle_1]
    order = CONSTANT
    family = MONOMIAL
  []
  [euler_angle_2]
    order = CONSTANT
    family = MONOMIAL
  []
  [euler_angle_3]
    order = CONSTANT
    family = MONOMIAL
  []
  [pk2_zz]
    order = CONSTANT
    family = MONOMIAL
  []
[]

[Physics/SolidMechanics/QuasiStatic/all]
  strain = FINITE
  incremental = true
  add_variables = true
[]

[AuxKernels]
  [euler_angle_1]
    type = MaterialRealVectorValueAux
    variable = euler_angle_1
    property = updated_Euler_angle
    component = 0
    execute_on = timestep_end
  []
  [euler_angle_2]
    type = MaterialRealVectorValueAux
    variable = euler_angle_2
    property = updated_Euler_angle
    component = 1
    execute_on = timestep_end
  []
  [euler_angle_3]
    type = MaterialRealVectorValueAux
    variable = euler_angle_3
    property = updated_Euler_angle
    component = 2
    execute_on = timestep_end
  []
  [pk2_zz]
    type = RankTwoAux
    variable = pk2_zz
    rank_two_tensor = second_piola_kirchhoff_stress
    index_j = 2
    index_i = 2
    execute_on = timestep_end
   []
[]

[BCs]
  [Periodic]
    [all]
      variable = 'disp_x'
      auto_direction = 'z'
    []
  []
  [fix_x]
    type = DirichletBC
    variable = disp_x
    boundary = 'left'
    value = 0
  []
  [fix_y]
    type = DirichletBC
    variable = disp_y
    boundary = 'bottom'
    value = 0
  []
  [fix_z]
    type = DirichletBC
    variable = disp_z
    boundary = 'back'
    value = 0
  []
  [tdisp]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'front'
    function = '0.005*t'
  []
[]

[Materials]
  [elasticity_tensor]
    type = ComputeElasticityTensorCP
    C_ijkl = '1.684e5 1.214e5 1.214e5 1.684e5 1.214e5 1.684e5 0.754e5 0.754e5 0.754e5'
    fill_method = symmetric9
    rotation_matrix = '0.707106781  0.40824829  0.57735027
                      -0.707106781  0.40824829  0.57735027
                       0.          -0.81649658  0.57735027'
  []
  [stress]
    type = ComputeMultipleCrystalPlasticityStress
    crystal_plasticity_models = 'trial_xtalpl'
    tan_mod_type = exact
    maximum_substep_iteration = 4
  []
  [trial_xtalpl]
    type = CrystalPlasticityKalidindiUpdate
    number_slip_systems = 12
    slip_sys_file_name = input_slip_sys.txt
  []
  [updated_euler_angle]
    type = ComputeUpdatedEulerAngle
    radian_to_degree = true
  []
[]

[Postprocessors]
  [euler_angle_1]
    type = ElementAverageValue
    variable = euler_angle_1
  []
  [euler_angle_2]
    type = ElementAverageValue
    variable = euler_angle_2
  []
  [euler_angle_3]
    type = ElementAverageValue
    variable = euler_angle_3
  []
  [pk2_zz]
    type = ElementAverageValue
    variable = pk2_zz
  []
[]

[Preconditioning]
  [smp]
    type = SMP
    full = true
  []
[]

[Executioner]
  type = Transient
  solve_type = 'PJFNK'

  petsc_options_iname = '-pc_type'
  petsc_options_value = ' lu '
  nl_abs_tol = 1e-10
  nl_rel_tol = 1e-10
  nl_abs_step_tol = 1e-10

  dt = 0.1
  dtmin = 0.01
  end_time = 5
[]

[Outputs]
  csv = true
  perf_graph = true
[]

(modules/contact/test/tests/sliding_block/sliding/frictional_02_penalty.i)

#  This is a benchmark test that checks constraint based frictional
#  contact using the penalty method.  In this test a constant
#  displacement is applied in the horizontal direction to simulate
#  a small block come sliding down a larger block.
#
#  A friction coefficient of 0.2 is used.  The gold file is run on one processor
#  and the benchmark case is run on a minimum of 4 processors to ensure no
#  parallel variability in the contact pressure and penetration results.
#

[Mesh]
  file = sliding_elastic_blocks_2d.e
  patch_size = 80
[]

[GlobalParams]
  volumetric_locking_correction = false
  displacements = 'disp_x disp_y'
[]

[AuxVariables]
  [penetration]
  []
  [inc_slip_x]
  []
  [inc_slip_y]
  []
  [accum_slip_x]
  []
  [accum_slip_y]
  []
[]

[Functions]
  [vertical_movement]
    type = ParsedFunction
    expression = -t
  []
[]

[Physics/SolidMechanics/QuasiStatic]
  [all]
    add_variables = true
    strain = FINITE
  []
[]

[AuxKernels]
  [zeroslip_x]
    type = ConstantAux
    variable = inc_slip_x
    boundary = 3
    execute_on = timestep_begin
    value = 0.0
  []
  [zeroslip_y]
    type = ConstantAux
    variable = inc_slip_y
    boundary = 3
    execute_on = timestep_begin
    value = 0.0
  []
  [accum_slip_x]
    type = AccumulateAux
    variable = accum_slip_x
    accumulate_from_variable = inc_slip_x
    execute_on = timestep_end
  []
  [accum_slip_y]
    type = AccumulateAux
    variable = accum_slip_y
    accumulate_from_variable = inc_slip_y
    execute_on = timestep_end
  []
  [penetration]
    type = PenetrationAux
    variable = penetration
    boundary = 3
    paired_boundary = 2
  []
[]

[Postprocessors]
  [nonlinear_its]
    type = NumNonlinearIterations
    execute_on = timestep_end
  []
  [penetration]
    type = NodalVariableValue
    variable = penetration
    nodeid = 222
  []
  [contact_pressure]
    type = NodalVariableValue
    variable = contact_pressure
    nodeid = 222
  []
[]

[BCs]
  [left_x]
    type = DirichletBC
    variable = disp_x
    boundary = 1
    value = 0.0
  []
  [left_y]
    type = DirichletBC
    variable = disp_y
    boundary = 1
    value = 0.0
  []
  [right_x]
    type = DirichletBC
    variable = disp_x
    boundary = 4
    value = -0.02
  []
  [right_y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 4
    function = vertical_movement
  []
[]

[Materials]
  [left]
    type = ComputeIsotropicElasticityTensor
    block = '1 2'
    youngs_modulus = 1e6
    poissons_ratio = 0.3
  []
  [stress]
    type = ComputeFiniteStrainElasticStress
    block = '1 2'
  []
[]

[Executioner]
  type = Transient
  solve_type = 'PJFNK'

  petsc_options = '-snes_ksp_ew'
  petsc_options_iname = '-pc_type -pc_factor_mat_solver_type'
  petsc_options_value = 'lu     superlu_dist'

  line_search = 'none'

  l_max_its = 100
  nl_max_its = 1000
  dt = 0.1
  end_time = 15
  num_steps = 1000
  l_tol = 1e-6
  nl_rel_tol = 1e-10
  nl_abs_tol = 1e-6
  dtmin = 0.01

  [Predictor]
    type = SimplePredictor
    scale = 1.0
  []
[]

[Outputs]
  time_step_interval = 10
  [out]
    type = Exodus
    elemental_as_nodal = true
  []
  [console]
    type = Console
    max_rows = 5
  []
[]

[Contact]
  [leftright]
    secondary = 3
    primary = 2
    model = coulomb
    penalty = 4e+6
    friction_coefficient = 0.2
    formulation = penalty
    normal_smoothing_distance = 0.1
  []
[]

(modules/solid_mechanics/test/tests/orthotropic_plasticity/orthotropic.i)

# UserObject Orthotropic test, with constant hardening.
# Linear strain is applied in the x and y direction.

[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin =  -.5
  xmax = .5
  ymin = -.5
  ymax = .5
  zmin = -.5
  zmax = .5
[]

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]

[Physics/SolidMechanics/QuasiStatic]
  [./all]
    strain = FINITE
    add_variables = true
    generate_output = 'stress_xx stress_yy stress_zz stress_xy stress_yz stress_xz'
  [../]
[]

[BCs]
  [./xdisp]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'right'
    function = '0.005*t'
  [../]
  [./ydisp]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'top'
    function = '0.005*t'
  [../]
  [./yfix]
    type = DirichletBC
    variable = disp_y
    #boundary = 'bottom top'
    boundary = 'bottom'
    value = 0
  [../]
  [./xfix]
    type = DirichletBC
    variable = disp_x
    boundary = 'left'
    value = 0
  [../]
  [./zfix]
    type = DirichletBC
    variable = disp_z
    #boundary = 'front back'
    boundary = 'back'
    value = 0
  [../]
[]

[AuxVariables]
  [./plastic_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./plastic_xy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./plastic_xz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./plastic_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./plastic_yz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./plastic_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./iter]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./intnl]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./sdev]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./sdet]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]

[AuxKernels]
  [./plastic_xx]
    type = RankTwoAux
    rank_two_tensor = plastic_strain
    variable = plastic_xx
    index_i = 0
    index_j = 0
  [../]
  [./plastic_xy]
    type = RankTwoAux
    rank_two_tensor = plastic_strain
    variable = plastic_xy
    index_i = 0
    index_j = 1
  [../]
  [./plastic_xz]
    type = RankTwoAux
    rank_two_tensor = plastic_strain
    variable = plastic_xz
    index_i = 0
    index_j = 2
  [../]
  [./plastic_yy]
    type = RankTwoAux
    rank_two_tensor = plastic_strain
    variable = plastic_yy
    index_i = 1
    index_j = 1
  [../]
  [./plastic_yz]
    type = RankTwoAux
    rank_two_tensor = plastic_strain
    variable = plastic_yz
    index_i = 1
    index_j = 2
  [../]
  [./plastic_zz]
    type = RankTwoAux
    rank_two_tensor = plastic_strain
    variable = plastic_zz
    index_i = 2
    index_j = 2
  [../]
  [./f]
    type = MaterialStdVectorAux
    index = 0
    property = plastic_yield_function
    variable = f
  [../]
  [./iter]
    type = MaterialRealAux
    property = plastic_NR_iterations
    variable = iter
  [../]
  [./intnl]
    type = MaterialStdVectorAux
    index = 0
    property = plastic_internal_parameter
    variable = intnl
  [../]
  [./sdev]
    type = RankTwoScalarAux
    variable = sdev
    rank_two_tensor = stress
    scalar_type = VonMisesStress
  [../]
[]

[Postprocessors]
  [./sdev]
    type = PointValue
    point = '0 0 0'
    variable = sdev
  [../]
  [./s_xx]
    type = PointValue
    point = '0 0 0'
    variable = stress_xx
  [../]
  [./p_xx]
    type = PointValue
    point = '0 0 0'
    variable = plastic_xx
  [../]
  [./s_xy]
    type = PointValue
    point = '0 0 0'
    variable = stress_xy
  [../]
  [./p_xy]
    type = PointValue
    point = '0 0 0'
    variable = plastic_xy
  [../]
  [./p_xz]
    type = PointValue
    point = '0 0 0'
    variable = plastic_xz
  [../]
  [./p_yz]
    type = PointValue
    point = '0 0 0'
    variable = plastic_yz
  [../]
  [./s_xz]
    type = PointValue
    point = '0 0 0'
    variable = stress_xz
  [../]
  [./s_yy]
    type = PointValue
    point = '0 0 0'
    variable = stress_yy
  [../]
  [./p_yy]
    type = PointValue
    point = '0 0 0'
    variable = plastic_yy
  [../]
  [./s_yz]
    type = PointValue
    point = '0 0 0'
    variable = stress_yz
  [../]
  [./s_zz]
    type = PointValue
    point = '0 0 0'
    variable = stress_zz
  [../]
  [./p_zz]
    type = PointValue
    point = '0 0 0'
    variable = plastic_zz
  [../]
  [./intnl]
    type = PointValue
    point = '0 0 0'
    variable = intnl
  [../]
[]

[UserObjects]
  [./str]
    type = SolidMechanicsHardeningConstant
    value = 300
  [../]
  [./Orthotropic]
    type = SolidMechanicsPlasticOrthotropic
    b = -0.2
    c1 = '1 1 1 1 1 1'
    c2 = '1 1 1 1 1 1'
    associative = true
    yield_strength = str
    yield_function_tolerance = 1e-5
    internal_constraint_tolerance = 1e-9
    use_custom_returnMap = false
    use_custom_cto = false
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    fill_method = symmetric_isotropic
    C_ijkl = '121e3 80e3'
  [../]
  [./mc]
    type = ComputeMultiPlasticityStress
    ep_plastic_tolerance = 1e-9
    plastic_models = Orthotropic
    debug_fspb = crash
    tangent_operator = elastic
  [../]
[]

[Preconditioning]
  [./smp]
    type = SMP
    full = true
  [../]
[]

[Executioner]
  num_steps = 3
  dt = .5
  type = Transient

  nl_rel_tol = 1e-6
  nl_max_its = 10
  l_tol = 1e-4
  l_max_its = 50

  solve_type = PJFNK
  petsc_options_iname = '-pc_type'
  petsc_options_value = 'lu'
[]


[Outputs]
  perf_graph = false
  csv = true
[]

(tutorials/tutorial03_verification/app/test/tests/step04_mms/2d_mms_temporal.i)

[ICs]
  active = 'mms'
  [mms]
    type = FunctionIC
    variable = T
    function = mms_exact
  []
[]

[BCs]
  active = 'mms'
  [mms]
    type = FunctionDirichletBC
    variable = T
    boundary = 'left right top bottom'
    function = mms_exact
  []
[]

[Kernels]
  [mms]
    type = HeatSource
    variable = T
    function = mms_force
  []
[]

[Functions]
  [mms_force]
    type = ParsedFunction
    expression = '-3.08641975308642e-5*x*y*cp*rho*exp(-3.08641975308642e-5*t) - shortwave*exp(y*kappa)*sin((1/2)*x*pi)*sin((1/3600)*pi*t/hours)'
    symbol_names = 'rho cp   k     kappa shortwave hours'
    symbol_values = '150 2000 0.01  40    650       9'
  []
  [mms_exact]
    type = ParsedFunction
    expression = 'x*y*exp(-3.08641975308642e-5*t)'
  []
[]

[Outputs]
  csv = true
[]

[Postprocessors]
  [error]
    type = ElementL2Error
    variable = T
    function = mms_exact
  []
  [delta_t]
    type = TimestepSize
  []
[]

(modules/solid_mechanics/test/tests/mohr_coulomb/except4.i)

# checking for exception error messages on the edge smoothing
# here edge_smoother=5deg, which means the friction_angle must be <= 35.747
[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]


[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
[]

[Kernels]
  [SolidMechanics]
    displacements = 'disp_x disp_y disp_z'
  [../]
[]


[BCs]
  [./x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'front back'
    function = '1E-6*x'
  [../]
  [./y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'front back'
    function = '1E-6*y'
  [../]
  [./z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'front back'
    function = '1E-6*z'
  [../]
[]

[AuxVariables]
  [./stress_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]

[AuxKernels]
  [./stress_xx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xx
    index_i = 0
    index_j = 0
  [../]
  [./stress_xy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xy
    index_i = 0
    index_j = 1
  [../]
  [./stress_xz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xz
    index_i = 0
    index_j = 2
  [../]
  [./stress_yy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yy
    index_i = 1
    index_j = 1
  [../]
  [./stress_yz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yz
    index_i = 1
    index_j = 2
  [../]
  [./stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zz
    index_i = 2
    index_j = 2
  [../]
[]

[Postprocessors]
  [./s_xx]
    type = PointValue
    point = '0 0 0'
    variable = stress_xx
  [../]
  [./s_xy]
    type = PointValue
    point = '0 0 0'
    variable = stress_xy
  [../]
  [./s_xz]
    type = PointValue
    point = '0 0 0'
    variable = stress_xz
  [../]
  [./s_yy]
    type = PointValue
    point = '0 0 0'
    variable = stress_yy
  [../]
  [./s_yz]
    type = PointValue
    point = '0 0 0'
    variable = stress_yz
  [../]
  [./s_zz]
    type = PointValue
    point = '0 0 0'
    variable = stress_zz
  [../]
[]

[UserObjects]
  [./mc_coh]
    type = SolidMechanicsHardeningConstant
    value = 10
  [../]
  [./mc_phi]
    type = SolidMechanicsHardeningExponential
    value_0 = 0.52359878 # 30deg
    value_residual = 0.62831853 # 36deg
    rate = 3000.0
  [../]
  [./mc_psi]
    type = SolidMechanicsHardeningConstant
    value = 5
    convert_to_radians = true
  [../]
  [./mc]
    type = SolidMechanicsPlasticMohrCoulomb
    cohesion = mc_coh
    friction_angle = mc_phi
    dilation_angle = mc_psi
    mc_tip_smoother = 1
    mc_edge_smoother = 5
    yield_function_tolerance = 1E-3
    internal_constraint_tolerance = 1E-9
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    block = 0
    fill_method = symmetric_isotropic
    C_ijkl = '0 1E7'
  [../]
  [./strain]
    type = ComputeFiniteStrain
    block = 0
    displacements = 'disp_x disp_y disp_z'
  [../]
  [./mc]
    type = ComputeMultiPlasticityStress
    block = 0
    ep_plastic_tolerance = 1E-9
    plastic_models = mc
    debug_fspb = crash
    debug_jac_at_stress = '10 0 0 0 10 0 0 0 10'
    debug_jac_at_pm = 1
    debug_jac_at_intnl = 1
    debug_stress_change = 1E-5
    debug_pm_change = 1E-6
    debug_intnl_change = 1E-6
  [../]
[]


[Executioner]
  end_time = 1
  dt = 1
  type = Transient
[]


[Outputs]
  file_base = except4
  exodus = false
  [./csv]
    type = CSV
    [../]
[]

(modules/solid_mechanics/test/tests/capped_drucker_prager/small_deform2_outer_tip.i)

# apply repeated stretches in x, y and z directions, so that mean_stress = 0
# This maps out the yield surface in the octahedral plane for zero mean stress

[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]

[Physics/SolidMechanics/QuasiStatic]
  [./all]
    add_variables = true
    incremental = true
    generate_output = 'stress_xx stress_xy stress_xz stress_yy stress_yz stress_zz'
  [../]
[]

[BCs]
  [./x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'front back'
    function = '-1.5E-6*x+2E-6*x*sin(t)'
  [../]
  [./y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'front back'
    function = '2E-6*y*sin(2*t)'
  [../]
  [./z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'front back'
    function = '-2E-6*z*(sin(t)+sin(2*t))'
  [../]
[]

[AuxVariables]
  [./yield_fcn]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]

[AuxKernels]
  [./yield_fcn_auxk]
    type = MaterialStdVectorAux
    index = 0
    property = plastic_yield_function
    variable = yield_fcn
  [../]
[]

[Postprocessors]
  [./s_xx]
    type = PointValue
    point = '0 0 0'
    variable = stress_xx
  [../]
  [./s_xy]
    type = PointValue
    point = '0 0 0'
    variable = stress_xy
  [../]
  [./s_xz]
    type = PointValue
    point = '0 0 0'
    variable = stress_xz
  [../]
  [./s_yy]
    type = PointValue
    point = '0 0 0'
    variable = stress_yy
  [../]
  [./s_yz]
    type = PointValue
    point = '0 0 0'
    variable = stress_yz
  [../]
  [./s_zz]
    type = PointValue
    point = '0 0 0'
    variable = stress_zz
  [../]
  [./f]
    type = PointValue
    point = '0 0 0'
    variable = yield_fcn
  [../]
  [./f0]
    type = PointValue
    point = '0 0 0'
    variable = yield_fcn
  [../]
  [./f1]
    type = PointValue
    point = '0 0 0'
    variable = yield_fcn
  [../]
[]

[UserObjects]
  [./ts]
    type = SolidMechanicsHardeningConstant
    value = 1000
  [../]
  [./cs]
    type = SolidMechanicsHardeningConstant
    value = 1000
  [../]
  [./mc_coh]
    type = SolidMechanicsHardeningConstant
    value = 10
  [../]
  [./mc_phi]
    type = SolidMechanicsHardeningConstant
    value = 20
    convert_to_radians = true
  [../]
  [./mc_psi]
    type = SolidMechanicsHardeningConstant
    value = 0
  [../]
  [./dp]
    type = SolidMechanicsPlasticDruckerPrager
    mc_cohesion = mc_coh
    mc_friction_angle = mc_phi
    mc_dilation_angle = mc_psi
    mc_interpolation_scheme = outer_tip
    internal_constraint_tolerance = 1 # irrelevant here
    yield_function_tolerance = 1      # irrelevant here
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    block = 0
    fill_method = symmetric_isotropic
    C_ijkl = '0 1E7'
  [../]
  [./admissible]
    type = ComputeMultipleInelasticStress
    inelastic_models = cdp
    perform_finite_strain_rotations = false
  [../]
  [./cdp]
    type = CappedDruckerPragerStressUpdate
    DP_model = dp
    tensile_strength = ts
    compressive_strength = cs
    yield_function_tol = 1E-8
    tip_smoother = 4
    smoothing_tol = 1E-5
  [../]
[]


[Executioner]
  end_time = 100
  dt = 1
  type = Transient
[]


[Outputs]
  file_base = small_deform2_outer_tip
  exodus = false
  [./csv]
    type = CSV
  [../]
[]

(modules/heat_transfer/test/tests/NAFEMS/transient/T3/nafems_t3_quad_template.i)


[Mesh]
  type = GeneratedMesh
  dim = 2
  nx = 5
  ny = 1
  xmin = 0.0
  xmax = 0.1
  ymin = 0.0
  ymax = 0.01
  elem_type = QUAD4
[]

[Variables]
  [./temp]
    initial_condition = 0.0
  [../]
[]

[BCs]
  [./FixedTempLeft]
    type = DirichletBC
    variable = temp
    boundary = left
    value = 0.0
  [../]
  [./FunctionTempRight]
    type = FunctionDirichletBC
    variable = temp
    boundary = right
    function = '100.0 * sin(pi*t/40)'
  [../]
[]

[Kernels]
  [./heat]
    type = HeatConduction
    variable = temp
  [../]
  [./HeatTdot]
    type = HeatConductionTimeDerivative
    variable = temp
  [../]
[]

[Materials]
  [./density]
    type = GenericConstantMaterial
    prop_names = 'thermal_conductivity specific_heat density'
    prop_values = '35.0 440.5 7200.0'
  [../]
[]

[Executioner]
  type = Transient
  solve_type = 'PJFNK'

  l_tol = 1e-5
  nl_max_its = 50
  nl_rel_tol = 1e-10
  nl_abs_tol = 1e-12

  dt = 1
  end_time = 32.0
[]

[Postprocessors]
  [./target_temp]
    type = NodalVariableValue
    variable = temp
    nodeid = 9
  [../]
[]

[Outputs]
  csv = true
[]

(modules/solid_mechanics/test/tests/stress_recovery/patch/patch.i)

[GlobalParams]
  displacements = 'disp_x disp_y'
[]

[Mesh]
  type = GeneratedMesh
  dim = 2
  nx = 2
  ny = 2
  elem_type = QUAD9
  uniform_refine = 0
[]

[Variables]
  [disp_x]
    order = SECOND
    family = LAGRANGE
  []
  [disp_y]
    order = SECOND
    family = LAGRANGE
  []
[]

[AuxVariables]
  [stress_xx]
    order = FIRST
    family = MONOMIAL
  []
  [stress_yy]
    order = FIRST
    family = MONOMIAL
  []
  [stress_xx_recovered]
    order = SECOND
    family = LAGRANGE
  []
  [stress_yy_recovered]
    order = SECOND
    family = LAGRANGE
  []
[]

[AuxKernels]
  [stress_xx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xx
    index_i = 0
    index_j = 0
    execute_on = 'timestep_end'
  []
  [stress_yy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yy
    index_i = 1
    index_j = 1
    execute_on = 'timestep_end'
  []
  [stress_xx_recovered]
    type = NodalPatchRecoveryAux
    variable = stress_xx_recovered
    nodal_patch_recovery_uo = stress_xx_patch
    execute_on = 'TIMESTEP_END'
  []
  [stress_yy_recovered]
    type = NodalPatchRecoveryAux
    variable = stress_yy_recovered
    nodal_patch_recovery_uo = stress_yy_patch
    execute_on = 'TIMESTEP_END'
  []
[]

[Kernels]
  [solid_x]
    type = StressDivergenceTensors
    variable = disp_x
    component = 0
  []
  [solid_y]
    type = StressDivergenceTensors
    variable = disp_y
    component = 1
  []
[]

[Materials]
  [strain]
    type = ComputeSmallStrain
  []
  [Cijkl]
    type = ComputeIsotropicElasticityTensor
    poissons_ratio = 0.3
    youngs_modulus = 2.1e+5
  []
  [stress]
    type = ComputeLinearElasticStress
  []
[]

[BCs]
  [top_xdisp]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'top'
    function = 0
  []
  [top_ydisp]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'top'
    function = t
  []
  [bottom_xdisp]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'bottom'
    function = 0
  []
  [bottom_ydisp]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'bottom'
    function = 0
  []
[]

[UserObjects]
  [stress_xx_patch]
    type = NodalPatchRecoveryMaterialProperty
    patch_polynomial_order = SECOND
    property = 'stress'
    component = '0 0'
    execute_on = 'TIMESTEP_END'
  []
  [stress_yy_patch]
    type = NodalPatchRecoveryMaterialProperty
    patch_polynomial_order = SECOND
    property = 'stress'
    component = '1 1'
    execute_on = 'TIMESTEP_END'
  []
[]

[Preconditioning]
  [smp]
    type = SMP
    full = true
    ksp_norm = default
  []
[]

[Executioner]
  type = Transient
  solve_type = NEWTON
  petsc_options_iname = '-ksp_type -pc_type'
  petsc_options_value = 'preonly   lu'
  nl_abs_tol = 1e-8
  nl_rel_tol = 1e-8
  l_max_its = 100
  nl_max_its = 30
  dt = 0.01
  dtmin = 1e-11
  start_time = 0
  end_time = 0.05
[]

[Outputs]
  time_step_interval = 1
  exodus = true
  print_linear_residuals = false
[]

(modules/solid_mechanics/test/tests/crystal_plasticity/monolithic_material_based/cp_slip_rate_integ/crysp.i)

[Mesh]
  type = GeneratedMesh
  dim = 3
  elem_type = HEX8
  displacements = 'disp_x disp_y disp_z'
[]

[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
[]

[AuxVariables]
  [./stress_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./fp_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./e_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./gss1]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]

[Functions]
  [./tdisp]
    type = ParsedFunction
    expression = 0.01*t
  [../]
[]

[Kernels]
  [SolidMechanics]
    displacements = 'disp_x disp_y disp_z'
    use_displaced_mesh = true
  [../]
[]

[AuxKernels]
  [./stress_zz]
    type = RankTwoAux
    variable = stress_zz
    rank_two_tensor = stress
    index_j = 2
    index_i = 2
    execute_on = timestep_end
  [../]
  [./fp_zz]
    type = RankTwoAux
    variable = fp_zz
    rank_two_tensor = fp
    index_j = 2
    index_i = 2
    execute_on = timestep_end
  [../]
  [./e_zz]
    type = RankTwoAux
    variable = e_zz
    rank_two_tensor = lage
    index_j = 2
    index_i = 2
    execute_on = timestep_end
  [../]
  [./gss1]
    type = MaterialStdVectorAux
    variable = gss1
    property = gss
    index = 0
    execute_on = timestep_end
  [../]
[]

[BCs]
  [./symmy]
    type = DirichletBC
    variable = disp_y
    boundary = bottom
    value = 0
  [../]
  [./symmx]
    type = DirichletBC
    variable = disp_x
    boundary = left
    value = 0
  [../]
  [./symmz]
    type = DirichletBC
    variable = disp_z
    boundary = back
    value = 0
  [../]
  [./tdisp]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = front
    function = tdisp
  [../]
[]

[Materials]
  [./crysp]
    type = FiniteStrainCPSlipRateRes
    gtol = 1e-2
    rtol = 1e-8
    abs_tol = 1e-15
    slip_sys_file_name = input_slip_sys.txt
    nss = 12
    num_slip_sys_flowrate_props = 2 #Number of properties in a slip system
    flowprops = '1 4 0.001 0.1 5 8 0.001 0.1 9 12 0.001 0.1'
    hprops = '1.0 541.5 60.8 109.8 2.5'
    gprops = '1 4 60.8 5 8 60.8 9 12 60.8'
    tan_mod_type = exact
    slip_incr_tol = 1
  [../]
  [./elasticity_tensor]
    type = ComputeElasticityTensorCP
    C_ijkl = '1.684e5 1.214e5 1.214e5 1.684e5 1.214e5 1.684e5 0.754e5 0.754e5 0.754e5'
    fill_method = symmetric9
  [../]
  [./strain]
    type = ComputeFiniteStrain
    displacements = 'disp_x disp_y disp_z'
  [../]
[]

[Postprocessors]
  [./stress_zz]
    type = ElementAverageValue
    variable = stress_zz
  [../]
  [./fp_zz]
    type = ElementAverageValue
    variable = fp_zz
  [../]
  [./e_zz]
    type = ElementAverageValue
    variable = e_zz
  [../]
  [./gss1]
    type = ElementAverageValue
    variable = gss1
  [../]
[]

[Preconditioning]
  [./smp]
    type = SMP
    full = true
  [../]
[]

[Executioner]
  type = Transient
  solve_type = 'PJFNK'

  petsc_options_iname = '-pc_type'
  petsc_options_value = 'lu'

  dt = 0.2
  dtmin = 0.05
  dtmax = 10.0

  nl_rel_tol = 1e-10
  nl_abs_tol = 1e-10

  end_time = 1
[]

[Outputs]
  file_base = out
  exodus = true
  print_linear_residuals = true
  perf_graph = true
[]

(modules/contact/test/tests/mortar_cartesian_lms/frictionless-mortar-3d.i)

starting_point = 0.25
offset = 0.00

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
  diffusivity = 1e0
  scaling = 1e0
[]

[Mesh]
  second_order = false
  [top_block]
    type = GeneratedMeshGenerator
    dim = 3
    nx = 3
    ny = 3
    nz = 3
    xmin = -0.25
    xmax = 0.25
    ymin = -0.25
    ymax = 0.25
    zmin = -0.25
    zmax = 0.25
    elem_type = HEX8
  []
  [rotate_top_block]
    type = TransformGenerator
    input = top_block
    transform = ROTATE
    vector_value = '0 0 0'
  []
  [top_block_sidesets]
    type = RenameBoundaryGenerator
    input = rotate_top_block
    old_boundary = '0 1 2 3 4 5'
    new_boundary = 'top_bottom top_back top_right top_front top_left top_top'
  []
  [top_block_id]
    type = SubdomainIDGenerator
    input = top_block_sidesets
    subdomain_id = 1
  []
  [bottom_block]
    type = GeneratedMeshGenerator
    dim = 3
    nx = 10
    ny = 10
    nz = 2
    xmin = -.5
    xmax = .5
    ymin = -.5
    ymax = .5
    zmin = -.3
    zmax = -.25
    elem_type = HEX8
  []
  [bottom_block_id]
    type = SubdomainIDGenerator
    input = bottom_block
    subdomain_id = 2
  []
  [bottom_block_change_boundary_id]
    type = RenameBoundaryGenerator
    input = bottom_block_id
    old_boundary = '0 1 2 3 4 5'
    new_boundary = '100 101 102 103 104 105'
  []
  [combined]
    type = MeshCollectionGenerator
    inputs = 'top_block_id bottom_block_change_boundary_id'
  []
  [block_rename]
    type = RenameBlockGenerator
    input = combined
    old_block = '1 2'
    new_block = 'top_block bottom_block'
  []
  [bottom_right_sideset]
    type = SideSetsAroundSubdomainGenerator
    input = block_rename
    new_boundary = bottom_right
    block = bottom_block
    normal = '1 0 0'
  []
  [bottom_left_sideset]
    type = SideSetsAroundSubdomainGenerator
    input = bottom_right_sideset
    new_boundary = bottom_left
    block = bottom_block
    normal = '-1 0 0'
  []
  [bottom_top_sideset]
    type = SideSetsAroundSubdomainGenerator
    input = bottom_left_sideset
    new_boundary = bottom_top
    block = bottom_block
    normal = '0 0 1'
  []
  [bottom_bottom_sideset]
    type = SideSetsAroundSubdomainGenerator
    input = bottom_top_sideset
    new_boundary = bottom_bottom
    block = bottom_block
    normal = '0  0 -1'
  []
  [bottom_front_sideset]
    type = SideSetsAroundSubdomainGenerator
    input = bottom_bottom_sideset
    new_boundary = bottom_front
    block = bottom_block
    normal = '0 1 0'
  []
  [bottom_back_sideset]
    type = SideSetsAroundSubdomainGenerator
    input = bottom_front_sideset
    new_boundary = bottom_back
    block = bottom_block
    normal = '0 -1 0'
  []
  [secondary]
    input = bottom_back_sideset
    type = LowerDBlockFromSidesetGenerator
    sidesets = 'top_bottom' # top_back top_left'
    new_block_id = '10001'
    new_block_name = 'secondary_lower'
  []
  [primary]
    input = secondary
    type = LowerDBlockFromSidesetGenerator
    sidesets = 'bottom_top'
    new_block_id = '10000'
    new_block_name = 'primary_lower'
  []
[]

[Variables]
  [disp_x]
    block = '1 2'
  []
  [disp_y]
    block = '1 2'
  []
  [disp_z]
    block = '1 2'
  []
  [lm_x]
    block = 'secondary_lower'
    use_dual = true
  []
  [lm_y]
    block = 'secondary_lower'
    use_dual = true
  []
  [lm_z]
    block = 'secondary_lower'
    use_dual = true
  []
[]

[ICs]
  [disp_z]
    block = 1
    variable = disp_z
    value = '${fparse offset}'
    type = ConstantIC
  []
  [disp_x]
    block = 1
    variable = disp_x
    value = 0
    type = ConstantIC
  []
  [disp_y]
    block = 1
    variable = disp_y
    value = 0
    type = ConstantIC
  []
[]

[Kernels]
  [disp_x]
    type = MatDiffusion
    variable = disp_x
  []
  [disp_y]
    type = MatDiffusion
    variable = disp_y
  []
  [disp_z]
    type = MatDiffusion
    variable = disp_z
  []
[]

[Constraints]
  [weighted_gap_lm]
    type = ComputeWeightedGapCartesianLMMechanicalContact
    primary_boundary = 'bottom_top'
    secondary_boundary = 'top_bottom'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    lm_x = lm_x
    lm_y = lm_y
    lm_z = lm_z
    variable = lm_x # This can be anything really
    disp_x = disp_x
    disp_y = disp_y
    disp_z = disp_z
    use_displaced_mesh = true
    correct_edge_dropping = true
    c = 1e+02
  []
  [normal_x]
    type = CartesianMortarMechanicalContact
    primary_boundary = 'bottom_top'
    secondary_boundary = 'top_bottom'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    variable = lm_x
    secondary_variable = disp_x
    component = x
    use_displaced_mesh = true
    compute_lm_residuals = false
    correct_edge_dropping = true
  []
  [normal_y]
    type = CartesianMortarMechanicalContact
    primary_boundary = 'bottom_top'
    secondary_boundary = 'top_bottom'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    variable = lm_y
    secondary_variable = disp_y
    component = y
    use_displaced_mesh = true
    compute_lm_residuals = false
    correct_edge_dropping = true
  []
  [normal_z]
    type = CartesianMortarMechanicalContact
    primary_boundary = 'bottom_top'
    secondary_boundary = 'top_bottom'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    variable = lm_z
    secondary_variable = disp_z
    component = z
    use_displaced_mesh = true
    compute_lm_residuals = false
    correct_edge_dropping = true
  []
[]

[BCs]
  [botx]
    type = DirichletBC
    variable = disp_x
    boundary = 'bottom_left bottom_right bottom_front bottom_back'
    value = 0.0
  []
  [boty]
    type = DirichletBC
    variable = disp_y
    boundary = 'bottom_left bottom_right bottom_front bottom_back'
    value = 0.0
  []
  [botz]
    type = DirichletBC
    variable = disp_z
    boundary = 'bottom_left bottom_right bottom_front bottom_back'
    value = 0.0
  []
  [topx]
    type = DirichletBC
    variable = disp_x
    boundary = 'top_top'
    value = 0.0
  []
  [topy]
    type = DirichletBC
    variable = disp_y
    boundary = 'top_top'
    value = 0.0
  []
  [topz]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'top_top'
    function = '-${starting_point} * sin(2 * pi / 40 * t) + ${offset}'
  []
[]

[Preconditioning]
  [vcp]
    type = VCP
    full = true
    lm_variable = 'lm_x lm_y lm_z'
    primary_variable = 'disp_x disp_y disp_z'
    preconditioner = 'LU'
    is_lm_coupling_diagonal = true
    adaptive_condensation = true
  []
[]

[Executioner]
  type = Transient
  end_time = 1
  dt = .5
  dtmin = .01
  solve_type = 'NEWTON'
  petsc_options_iname = '-mat_mffd_err -pc_factor_shift_type -pc_factor_shift_amount'
  petsc_options_value = '1e-5          NONZERO               1e-10'
  l_max_its = 100
  nl_max_its = 30
  # nl_rel_tol = 1e-6
  nl_abs_tol = 1e-12
  line_search = 'none'
  snesmf_reuse_base = false
[]

[Debug]
  show_var_residual_norms = true
[]

[Outputs]
  perf_graph = true
  exodus = true
  csv = true
[]

[Postprocessors]
  active = 'num_nl cumulative contact'
  [num_nl]
    type = NumNonlinearIterations
  []
  [cumulative]
    type = CumulativeValuePostprocessor
    postprocessor = num_nl
  []
  [contact]
    type = ContactDOFSetSize
    variable = lm_z
    subdomain = 'secondary_lower'
    execute_on = 'nonlinear timestep_end'
  []
[]

[VectorPostprocessors]
  [contact-pressure]
    type = NodalValueSampler
    block = secondary_lower
    variable = lm_z
    sort_by = 'id'
    execute_on = NONLINEAR
  []
[]

(modules/solid_mechanics/test/tests/umat/multiple_blocks/rve_multimaterial.i)

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
  volumetric_locking_correction = true
[]

[Mesh]
  [mesh_1]
    type = FileMeshGenerator
    file = rve.e
  []
[]

[Functions]
  [top_shear]
    type = ParsedFunction
    expression = t/0.05
  []
[]

[BCs]
  [fix_x]
    type = DirichletBC
    variable = disp_x
    boundary = '1000'
    value = 0
  []
  [fix_y]
    type = DirichletBC
    variable = disp_y
    boundary = '1000'
    value = 0
  []
  [fix_z]
    type = DirichletBC
    variable = disp_z
    boundary = '1000'
    value = 0
  []
  [slip_x]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = '4000'
    function = top_shear
  []
[]

[Physics/SolidMechanics/QuasiStatic]
  [all]
    add_variables = true
    strain = FINITE
    generate_output = 'stress_yy'
    incremental = true
  []
[]

[Materials]
  [umat_1]
    type = AbaqusUMATStress
    # Young's modulus,  Poisson's Ratio, Yield, Hardening
    constant_properties = '1000 0.3'
    plugin = ../../../plugins/elastic_incremental
    num_state_vars = 3
    use_one_based_indexing = true
    block = '1'
  []
  [umat_2]
    type = AbaqusUMATStress
    # Young's modulus,  Poisson's Ratio
    constant_properties = '1e8 0.3'
    plugin = ../../../plugins/elastic_incremental
    num_state_vars = 3
    use_one_based_indexing = true
    block = '2'
  []
  [stress]
    type = ComputeFiniteStrainElasticStress
  []
  [elastic_1]
    type = ComputeIsotropicElasticityTensor
    youngs_modulus = 1000
    poissons_ratio = 0.3
    block = '1'
  []
  [elastic_2]
    type = ComputeIsotropicElasticityTensor
    youngs_modulus = 1e8
    poissons_ratio = 0.3
    block = '2'
  []
[]

[Preconditioning]
  [smp]
    type = SMP
    full = true
  []
[]

[Executioner]
  type = Transient
  dt = 0.05
  solve_type = 'NEWTON'

  petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
  petsc_options_value = 'lu superlu_dist'
  line_search = none

  nl_abs_tol = 1e-10
  dtmax = 10.0
  nl_rel_tol = 1e-10
  end_time = 1
  dtmin = 0.05
  num_steps = 2
[]

[Outputs]
  exodus = true
[]

(modules/solid_mechanics/test/tests/elastic_patch/elastic_patch_quadratic.i)

# Patch Test for second order hex elements (HEX20)
#
# From Abaqus, Verification Manual, 1.5.2
#
# This test is designed to compute constant xx, yy, zz, xy, yz, and zx
#  stress on a set of irregular hexes.  The mesh is composed of one
#  block with seven elements.  The elements form a unit cube with one
#  internal element.  There is a nodeset for each exterior node.

# The cube is displaced on all exterior nodes using the functions,
#
#    ux = 1e-4 * (2x + y + z) / 2
#    uy = 1e-4 * (x + 2y + z) / 2
#    ux = 1e-4 * (x + y + 2z) / 2
#
#  giving uniform strains of
#
#    exx = eyy = ezz = 2*exy = 2*eyz = 2*exz = 1e-4
#
#
# Hooke's Law provides an analytical solution for the uniform stress state.
#  For example,
#
#    stress xx = lambda(exx + eyy + ezz) + 2 * G * exx
#    stress xy = 2 * G * exy
#
#   where:
#
#    lambda = (2 * G * nu) / (1 - 2 * nu)
#    G = 0.5 * E / (1 + nu)
#
# For the test below, E = 1e6 and nu = 0.25, giving lambda = G = 4e5
#
# Thus
#
#    stress xx = 4e5 * (3e-4) + 2 * 4e5 * 1e-4 = 200
#    stress xy = 2 * 4e5 * 1e-4 / 2 = 40
#
[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]
[Mesh]
  file = elastic_patch_quadratic.e
[] # Mesh

[Functions]
  [./xDispFunc]
    type = ParsedFunction
    expression = 5e-5*(2*x+y+z)
  [../]
  [./yDispFunc]
    type = ParsedFunction
    expression = 5e-5*(x+2*y+z)
  [../]
  [./zDispFunc]
    type = ParsedFunction
    expression = 5e-5*(x+y+2*z)
  [../]
[] # Functions

[Variables]
  [./disp_x]
    order = SECOND
    family = LAGRANGE
  [../]
  [./disp_y]
    order = SECOND
    family = LAGRANGE
  [../]
  [./disp_z]
    order = SECOND
    family = LAGRANGE
  [../]
[] # Variables

[AuxVariables]
  [./stress_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_zx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./elastic_energy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./vonmises]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./hydrostatic]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./firstinv]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./secondinv]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./thirdinv]
    order = CONSTANT
    family = MONOMIAL
  [../]
[] # AuxVariables

[Kernels]
  [SolidMechanics]
    use_displaced_mesh = true
  [../]
[]

[AuxKernels]
  [./stress_xx]
    type = RankTwoAux
    rank_two_tensor = stress
    index_i = 0
    index_j = 0
    variable = stress_xx
  [../]
  [./stress_yy]
    type = RankTwoAux
    rank_two_tensor = stress
    index_i = 1
    index_j = 1
    variable = stress_yy
  [../]
  [./stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    index_i = 2
    index_j = 2
    variable = stress_zz
  [../]
  [./stress_xy]
    type = RankTwoAux
    rank_two_tensor = stress
    index_i = 0
    index_j = 1
    variable = stress_xy
  [../]
  [./stress_yz]
    type = RankTwoAux
    rank_two_tensor = stress
    index_i = 1
    index_j = 2
    variable = stress_yz
  [../]
  [./stress_zx]
    type = RankTwoAux
    rank_two_tensor = stress
    index_i = 2
    index_j = 0
    variable = stress_zx
  [../]
  [./elastic_energy]
    type = ElasticEnergyAux
    variable = elastic_energy
  [../]
  [./vonmises]
    type = RankTwoScalarAux
    rank_two_tensor = stress
    scalar_type = VonMisesStress
    variable = vonmises
  [../]
  [./hydrostatic]
    type = RankTwoScalarAux
    rank_two_tensor = stress
    scalar_type = Hydrostatic
    variable = hydrostatic
  [../]
  [./fi]
    type = RankTwoScalarAux
    rank_two_tensor = stress
    scalar_type = FirstInvariant
    variable = firstinv
  [../]
  [./si]
    type = RankTwoScalarAux
    rank_two_tensor = stress
    scalar_type = SecondInvariant
    variable = secondinv
  [../]
  [./ti]
    type = RankTwoScalarAux
    rank_two_tensor = stress
    scalar_type = ThirdInvariant
    variable = thirdinv
  [../]
[] # AuxKernels

[BCs]
  [./all_nodes_x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = '1 2 3 4 6 7 8 9 10 12 15 17 18 19 20 21 23 24 25 26'
    function = xDispFunc
  [../]
  [./all_nodes_y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = '1 2 3 4 6 7 8 9 10 12 15 17 18 19 20 21 23 24 25 26'
    function = yDispFunc
  [../]
  [./all_nodes_z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = '1 2 3 4 6 7 8 9 10 12 15 17 18 19 20 21 23 24 25 26'
    function = zDispFunc
  [../]
[] # BCs

[Materials]
  [./elast_tensor]
    type = ComputeIsotropicElasticityTensor
    youngs_modulus = 1e6
    poissons_ratio = 0.25
  [../]
  [./strain]
    type = ComputeSmallStrain
  [../]
  [./stress]
    type = ComputeLinearElasticStress
  [../]
[] # Materials

[Executioner]
  type = Transient

  #Preconditioned JFNK (default)
  solve_type = 'PJFNK'

  nl_rel_tol = 1e-6

  l_max_its = 20

  start_time = 0.0
  dt = 1.0
  num_steps = 1
  end_time = 1.0
[] # Executioner

[Outputs]
  [./out]
    type = Exodus
    elemental_as_nodal = true
  [../]
[] # Outputs

(modules/solid_mechanics/test/tests/uel/tensile_umat_moose_umat.i)

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
  volumetric_locking_correction = true
[]

[Mesh]
  [mesh]
    type = GeneratedMeshGenerator
    dim = 3
    nx = 1
    ny = 1
    nz = 1
    elem_type = HEX8
  []
  [extra_nodeset]
    type = ExtraNodesetGenerator
    input = mesh
    new_boundary = 'master'
    coord = '1.0 1.0 1.0'
  []
[]

[AuxVariables]
  [temperature]
    initial_condition = 500
  []
  [state_var_one]
    family = MONOMIAL
    order = FIRST
  []
  [state_var_two]
    family = MONOMIAL
    order = FIRST
  []
[]

[Physics/SolidMechanics/QuasiStatic]
  [all]
    add_variables = true
    generate_output = 'vonmises_stress'
    strain = FINITE
  []
[]

[Functions]
  [function_pull]
    type = PiecewiseLinear
    x = '0 100'
    y = '0 0.1'
  []
[]

[AuxKernels]
  [state_ker_one]
    type = MaterialStdVectorAux
    variable = state_var_one
    property = 'state_var'
    index = 0
    execute_on = timestep_end
  []
  [state_ker_two]
    type = MaterialStdVectorAux
    variable = state_var_two
    property = 'state_var'
    index = 1
    execute_on = timestep_end
  []
[]

[Constraints]
  [one]
    type = LinearNodalConstraint
    variable = disp_x
    primary = '6'
    secondary_node_ids = '1 2 5'
    penalty = 1.0e8
    formulation = kinematic
    weights = '1'
  []
  [two]
    type = LinearNodalConstraint
    variable = disp_z
    primary = '6'
    secondary_node_ids = '4 5 7'
    penalty = 1.0e8
    formulation = kinematic
    weights = '1'
  []
[]

[BCs]
  [symmy]
    type = DirichletBC
    variable = disp_y
    boundary = bottom
    value = 0
  []
  [symmx]
    type = DirichletBC
    variable = disp_x
    boundary = left
    value = 0
  []
  [symmz]
    type = DirichletBC
    variable = disp_z
    boundary = back
    value = 0
  []
  # What's done below is to capture the weird constraints
  [axial_load]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'top'
    function = function_pull
  []
[]

# Something wrong in the input?
[Materials]
  [umat]
    type = AbaqusUMATStress
    constant_properties = '190.0 28.0 3.0 1.0 6.0 0.0 0.0 23.0 25.0 26.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 '
                          '0.0 0.0 0.0 0.0 0.0 31700000.0 0.32 6.67e-06 1e-08 5000.0 4.0' # 27 properties
    plugin = '../../../../tensor_mechanics/test/plugins/umat_hc40'
    num_state_vars = 177 # 141 + 6*6
    temperature = temperature
    use_one_based_indexing = true
  []
[]

[Preconditioning]
  [smp]
    type = SMP
    full = true
  []
[]

[Executioner]
  type = Transient

  l_max_its = 100
  l_tol = 1e-8
  nl_max_its = 50
  nl_rel_tol = 1e-8
  nl_abs_tol = 1e-8

  dtmin = 1
  dt = 5
  end_time = 100
[]

[Outputs]
  exodus = true
[]

(modules/solid_mechanics/test/tests/capped_mohr_coulomb/random2.i)

# Using CappedMohrCoulomb with compressive failure only
# Plasticity models:
# Compressive strength = 1 MPa
#
# Lame lambda = 1GPa.  Lame mu = 1.3GPa
#
# A line of elements is perturbed randomly, and return to the yield surface at each quadpoint is checked

[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1234
  nz = 1
  xmin = 0
  xmax = 1
  ymin = 0
  ymax = 1234
  zmin = 0
  zmax = 1
[]

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]

[Physics/SolidMechanics/QuasiStatic]
  [./all]
    add_variables = true
    incremental = true
    generate_output = 'stress_xx stress_xy stress_xz stress_yy stress_yz stress_zz'
  [../]
[]

[ICs]
  [./x]
    type = RandomIC
    min = -0.1
    max = 0.1
    variable = disp_x
  [../]
  [./y]
    type = RandomIC
    min = -0.1
    max = 0.1
    variable = disp_y
  [../]
  [./z]
    type = RandomIC
    min = -0.1
    max = 0.1
    variable = disp_z
  [../]
[]

[BCs]
  [./x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'front back'
    function = '0'
  [../]
  [./y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'front back'
    function = '0'
  [../]
  [./z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'front back'
    function = '0'
  [../]
[]

[AuxVariables]
  [./f0]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f1]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f2]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./int0]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./iter]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]

[AuxKernels]
  [./f0]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 0
    variable = f0
  [../]
  [./f1]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 1
    variable = f1
  [../]
  [./f2]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 2
    variable = f2
  [../]
  [./int0]
    type = MaterialStdVectorAux
    property = plastic_internal_parameter
    factor = 1E6
    index = 0
    variable = int0
  [../]
  [./iter]
    type = MaterialRealAux
    property = plastic_NR_iterations
    variable = iter
  [../]
[]

[Postprocessors]
  [./tot_iters]
    type = ElementIntegralMaterialProperty
    mat_prop = plastic_NR_iterations
    outputs = console
  [../]
  [./raw_f0]
    type = ElementExtremeValue
    variable = f0
    outputs = console
  [../]
  [./raw_f1]
    type = ElementExtremeValue
    variable = f1
    outputs = console
  [../]
  [./raw_f2]
    type = ElementExtremeValue
    variable = f2
    outputs = console
  [../]
  [./iter]
    type = ElementExtremeValue
    variable = iter
    outputs = console
  [../]
  [./f0]
    type = FunctionValuePostprocessor
    function = should_be_zero0_fcn
  [../]
  [./f1]
    type = FunctionValuePostprocessor
    function = should_be_zero1_fcn
  [../]
  [./f2]
    type = FunctionValuePostprocessor
    function = should_be_zero2_fcn
  [../]
[]

[Functions]
  [./should_be_zero0_fcn]
    type = ParsedFunction
    expression = 'if(a<1E-1,0,a)'
    symbol_names = 'a'
    symbol_values = 'raw_f0'
  [../]
  [./should_be_zero1_fcn]
    type = ParsedFunction
    expression = 'if(a<1E-1,0,a)'
    symbol_names = 'a'
    symbol_values = 'raw_f1'
  [../]
  [./should_be_zero2_fcn]
    type = ParsedFunction
    expression = 'if(a<1E-1,0,a)'
    symbol_names = 'a'
    symbol_values = 'raw_f2'
  [../]
[]

[UserObjects]
  [./ts]
    type = SolidMechanicsHardeningConstant
    value = 1E12
  [../]
  [./cs]
    type = SolidMechanicsHardeningCubic
    value_0 = 1E6
    value_residual = 0
    internal_limit = 1
  [../]
  [./coh]
    type = SolidMechanicsHardeningConstant
    value = 1E12
  [../]
  [./ang]
    type = SolidMechanicsHardeningConstant
    value = 0.5
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    fill_method = symmetric_isotropic
    C_ijkl = '1E9 1.3E9'
  [../]
  [./tensile]
    type = CappedMohrCoulombStressUpdate
    tensile_strength = ts
    compressive_strength = cs
    cohesion = coh
    friction_angle = ang
    dilation_angle = ang
    smoothing_tol = 1E5
    max_NR_iterations = 100
    yield_function_tol = 1.0E-1
  [../]
  [./stress]
    type = ComputeMultipleInelasticStress
    inelastic_models = tensile
    perform_finite_strain_rotations = false
  [../]
[]


[Executioner]
  end_time = 1
  dt = 1
  type = Transient
[]


[Outputs]
  file_base = random2
  csv = true
[]

(modules/contact/test/tests/mortar_tm/2d/frictionless_first/finite_rr.i)

E_block = 1e7
E_plank = 1e7
elem = QUAD4
order = FIRST
name = 'finite_rr'

[Mesh]
  patch_size = 80
  patch_update_strategy = auto
  [plank]
    type = GeneratedMeshGenerator
    dim = 2
    xmin = -0.3
    xmax = 0.3
    ymin = -10
    ymax = 10
    nx = 2
    ny = 67
    elem_type = ${elem}
    boundary_name_prefix = plank
  []
  [plank_id]
    type = SubdomainIDGenerator
    input = plank
    subdomain_id = 1
  []

  [block]
    type = GeneratedMeshGenerator
    dim = 2
    xmin = 0.31
    xmax = 0.91
    ymin = 7.7
    ymax = 8.5
    nx = 3
    ny = 4
    elem_type = ${elem}
    boundary_name_prefix = block
    boundary_id_offset = 10
  []
  [block_id]
    type = SubdomainIDGenerator
    input = block
    subdomain_id = 2
  []

  [combined]
    type = MeshCollectionGenerator
    inputs = 'plank_id block_id'
  []
  [block_rename]
    type = RenameBlockGenerator
    input = combined
    old_block = '1 2'
    new_block = 'plank block'
  []
[]

[GlobalParams]
  displacements = 'disp_x disp_y'
[]

[Problem]
  type = ReferenceResidualProblem
  extra_tag_vectors = 'ref'
  reference_vector = 'ref'
[]

[Variables]
  [disp_x]
    order = ${order}
    block = 'plank block'
    scaling = '${fparse 2.0 / (E_plank + E_block)}'
  []
  [disp_y]
    order = ${order}
    block = 'plank block'
    scaling = '${fparse 2.0 / (E_plank + E_block)}'
  []
[]

[Physics/SolidMechanics/QuasiStatic]
  [action]
    strain = FINITE
    generate_output = 'stress_xx stress_yy stress_zz vonmises_stress hydrostatic_stress strain_xx '
                      'strain_yy strain_zz'
    block = 'plank block'
    extra_vector_tags = 'ref'
  []
[]

[Contact]
  [frictionless]
    primary = plank_right
    secondary = block_left
    formulation = mortar
    c_normal = 1e0
  []
[]

[BCs]
  [left_x]
    type = DirichletBC
    variable = disp_x
    boundary = plank_left
    value = 0.0
  []
  [left_y]
    type = DirichletBC
    variable = disp_y
    boundary = plank_bottom
    value = 0.0
  []
  [right_x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = block_right
    function = '-0.04*sin(4*(t+1.5))+0.02'
  []
  [right_y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = block_right
    function = '-t'
  []
[]

[Materials]
  [plank]
    type = ComputeIsotropicElasticityTensor
    block = 'plank'
    poissons_ratio = 0.3
    youngs_modulus = ${E_plank}
  []
  [block]
    type = ComputeIsotropicElasticityTensor
    block = 'block'
    poissons_ratio = 0.3
    youngs_modulus = ${E_block}
  []
  [stress]
    type = ComputeFiniteStrainElasticStress
    block = 'plank block'
  []
[]

[Preconditioning]
  [smp]
    type = SMP
    full = true
  []
[]

[Executioner]
  type = Transient
  solve_type = 'PJFNK'
  petsc_options = '-snes_converged_reason -ksp_converged_reason'
  petsc_options_iname = '-pc_type -mat_mffd_err -pc_factor_shift_type -pc_factor_shift_amount'
  petsc_options_value = 'lu       1e-5          NONZERO               1e-15'
  end_time = 13.5
  dt = 0.1
  dtmin = 0.1
  timestep_tolerance = 1e-6
  line_search = 'contact'
  nl_abs_tol = 1e-7
[]

[Postprocessors]
  [nl_its]
    type = NumNonlinearIterations
  []
  [total_nl_its]
    type = CumulativeValuePostprocessor
    postprocessor = nl_its
  []
  [l_its]
    type = NumLinearIterations
  []
  [total_l_its]
    type = CumulativeValuePostprocessor
    postprocessor = l_its
  []
  [contact]
    type = ContactDOFSetSize
    variable = frictionless_normal_lm
    subdomain = frictionless_secondary_subdomain
  []
  [avg_hydro]
    type = ElementAverageValue
    variable = hydrostatic_stress
    block = 'block'
  []
  [max_hydro]
    type = ElementExtremeValue
    variable = hydrostatic_stress
    block = 'block'
  []
  [min_hydro]
    type = ElementExtremeValue
    variable = hydrostatic_stress
    block = 'block'
    value_type = min
  []
  [avg_vonmises]
    type = ElementAverageValue
    variable = vonmises_stress
    block = 'block'
  []
  [max_vonmises]
    type = ElementExtremeValue
    variable = vonmises_stress
    block = 'block'
  []
  [min_vonmises]
    type = ElementExtremeValue
    variable = vonmises_stress
    block = 'block'
    value_type = min
  []
[]

[Outputs]
  file_base = ${name}
  [comp]
    type = CSV
    show = 'contact'
  []
  [out]
    type = CSV
    file_base = '${name}_out'
  []
[]

[Debug]
  show_var_residual_norms = true
[]

(modules/solid_mechanics/test/tests/tensile/planar1.i)

# checking for small deformation
# A single element is stretched by 1E-6m in z direction, and by small amounts in x and y directions
# stress_zz = Youngs Modulus*Strain = 2E6*1E-6 = 2 Pa
# tensile_strength is set to 1Pa
# Then the final stress should return to the yeild surface and the maximum principal stress value should be 1pa, and value of plastic strain should be 0.5E-6

[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]

[Physics/SolidMechanics/QuasiStatic]
  [./all]
    add_variables = true
    incremental = true
    strain = finite
    generate_output = 'stress_xx stress_xy stress_xz stress_yy stress_yz stress_zz'
  [../]
[]

[BCs]
  [./x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'front back'
    function = '0.1E-6*x'
  [../]
  [./y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'front back'
    function = '0.2E-6*y'
  [../]
  [./z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'front back'
    function = '1.0E-6*z'
  [../]
[]

[AuxVariables]
  [./f0]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f1]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f2]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./iter]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./intnl]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]

[AuxKernels]
  [./f0_auxk]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 0
    variable = f0
  [../]
  [./f1_auxk]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 1
    variable = f1
  [../]
  [./f2_auxk]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 2
    variable = f2
  [../]
  [./iter]
    type = MaterialRealAux
    property = plastic_NR_iterations
    variable = iter
  [../]
  [./intnl_auxk]
    type = MaterialStdVectorAux
    property = plastic_internal_parameter
    index = 0
    variable = intnl
  [../]
[]

[Postprocessors]
  [./s_xx]
    type = PointValue
    point = '0 0 0'
    variable = stress_xx
  [../]
  [./s_xy]
    type = PointValue
    point = '0 0 0'
    variable = stress_xy
  [../]
  [./s_xz]
    type = PointValue
    point = '0 0 0'
    variable = stress_xz
  [../]
  [./s_yy]
    type = PointValue
    point = '0 0 0'
    variable = stress_yy
  [../]
  [./s_yz]
    type = PointValue
    point = '0 0 0'
    variable = stress_yz
  [../]
  [./s_zz]
    type = PointValue
    point = '0 0 0'
    variable = stress_zz
  [../]
  [./f0]
    type = PointValue
    point = '0 0 0'
    variable = f0
  [../]
  [./f1]
    type = PointValue
    point = '0 0 0'
    variable = f1
  [../]
  [./f2]
    type = PointValue
    point = '0 0 0'
    variable = f2
  [../]
  [./iter]
    type = PointValue
    point = '0 0 0'
    variable = iter
  [../]
  [./intnl]
    type = PointValue
    point = '0 0 0'
    variable = intnl
  [../]
[]

[UserObjects]
  [./hard]
    type = SolidMechanicsHardeningConstant
    value = 1
  [../]
  [./tens]
    type = SolidMechanicsPlasticTensileMulti
    tensile_strength = hard
    shift = 1E-6
    yield_function_tolerance = 1E-6
    internal_constraint_tolerance = 1E-5
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    block = 0
    fill_method = symmetric_isotropic
    C_ijkl = '0 1E6'
  [../]
  [./mc]
    type = ComputeMultiPlasticityStress
    block = 0
    ep_plastic_tolerance = 1E-5
    plastic_models = tens
    debug_fspb = crash
    debug_jac_at_stress = '1 2 3 2 -4 -5 3 -5 10'
    debug_jac_at_pm = '0.1 0.2 0.3'
    debug_jac_at_intnl = 1E-6
    debug_stress_change = 1E-6
    debug_pm_change = '1E-6 1E-6 1E-6'
    debug_intnl_change = 1E-6
  [../]
[]


[Executioner]
  end_time = 1
  dt = 1
  type = Transient
[]


[Outputs]
  file_base = planar1
  exodus = false
  [./csv]
    type = CSV
    [../]
[]

(test/tests/multiapps/restart/sub.i)

[Mesh]
  type = GeneratedMesh
  dim = 1
  xmin = 0
  xmax = 1
  nx = 10
[]

[Functions]
  [./u_fn]
    type = ParsedFunction
    expression = t*x
  [../]
  [./ffn]
    type = ParsedFunction
    expression = x
  [../]
[]

[Variables]
  [./u]
  [../]
[]

[Kernels]
  [./diff]
    type = Diffusion
    variable = u
  [../]
  [./td]
    type = TimeDerivative
    variable = u
  [../]
  [./fn]
    type = BodyForce
    variable = u
    function = ffn
  [../]
[]

[BCs]
  [./left]
    type = DirichletBC
    variable = u
    boundary = left
    value = 0
  [../]
  [./right]
    type = FunctionDirichletBC
    variable = u
    boundary = right
    function = u_fn
  [../]
[]

[Executioner]
  type = Transient
  num_steps = 5
  dt = 0.1
  solve_type = 'PJFNK'
[]

[Outputs]
  exodus = true
[]

(modules/combined/test/tests/poro_mechanics/mandel.i)

# Mandel's problem of consolodation of a drained medium
#
# A sample is in plane strain.
# -a <= x <= a
# -b <= y <= b
# It is squashed with constant force by impermeable, frictionless plattens on its top and bottom surfaces (at y=+/-b)
# Fluid is allowed to leak out from its sides (at x=+/-a)
# The porepressure within the sample is monitored.
#
# As is common in the literature, this is simulated by
# considering the quarter-sample, 0<=x<=a and 0<=y<=b, with
# impermeable, roller BCs at x=0 and y=0 and y=b.
# Porepressure is fixed at zero on x=a.
# Porepressure and displacement are initialised to zero.
# Then the top (y=b) is moved downwards with prescribed velocity,
# so that the total force that is inducing this downwards velocity
# is fixed.  The velocity is worked out by solving Mandel's problem
# analytically, and the total force is monitored in the simulation
# to check that it indeed remains constant.
#
# Here are the problem's parameters, and their values:
# Soil width.  a = 1
# Soil height.  b = 0.1
# Soil's Lame lambda.  la = 0.5
# Soil's Lame mu, which is also the Soil's shear modulus.  mu = G = 0.75
# Soil bulk modulus.  K = la + 2*mu/3 = 1
# Drained Poisson ratio.  nu = (3K - 2G)/(6K + 2G) = 0.2
# Soil bulk compliance.  1/K = 1
# Fluid bulk modulus.  Kf = 8
# Fluid bulk compliance.  1/Kf = 0.125
# Soil initial porosity.  phi0 = 0.1
# Biot coefficient.  alpha = 0.6
# Biot modulus.  M = 1/(phi0/Kf + (alpha - phi0)(1 - alpha)/K) = 4.705882
# Undrained bulk modulus. Ku = K + alpha^2*M = 2.694118
# Undrained Poisson ratio.  nuu = (3Ku - 2G)/(6Ku + 2G) = 0.372627
# Skempton coefficient.  B = alpha*M/Ku = 1.048035
# Fluid mobility (soil permeability/fluid viscosity).  k = 1.5
# Consolidation coefficient.  c = 2*k*B^2*G*(1-nu)*(1+nuu)^2/9/(1-nuu)/(nuu-nu) = 3.821656
# Normal stress on top.  F = 1
#
# The solution for porepressure and displacements is given in
# AHD Cheng and E Detournay "A direct boundary element method for plane strain poroelasticity" International Journal of Numerical and Analytical Methods in Geomechanics 12 (1988) 551-572.
# The solution involves complicated infinite series, so I shall not write it here

[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 10
  ny = 1
  nz = 1
  xmin = 0
  xmax = 1
  ymin = 0
  ymax = 0.1
  zmin = 0
  zmax = 1
[]

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
  porepressure = porepressure
  block = 0
[]

[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
  [./porepressure]
  [../]
[]

[BCs]
  [./roller_xmin]
    type = DirichletBC
    variable = disp_x
    value = 0
    boundary = 'left'
  [../]
  [./roller_ymin]
    type = DirichletBC
    variable = disp_y
    value = 0
    boundary = 'bottom'
  [../]
  [./plane_strain]
    type = DirichletBC
    variable = disp_z
    value = 0
    boundary = 'back front'
  [../]
  [./xmax_drained]
    type = DirichletBC
    variable = porepressure
    value = 0
    boundary = right
  [../]
  [./top_velocity]
    type = FunctionDirichletBC
    variable = disp_y
    function = top_velocity
    boundary = top
  [../]
[]

[Functions]
  [./top_velocity]
    type = PiecewiseLinear
    x = '0 0.002 0.006   0.014   0.03    0.046   0.062   0.078   0.094   0.11    0.126   0.142   0.158   0.174   0.19 0.206 0.222 0.238 0.254 0.27 0.286 0.302 0.318 0.334 0.35 0.366 0.382 0.398 0.414 0.43 0.446 0.462 0.478 0.494 0.51 0.526 0.542 0.558 0.574 0.59 0.606 0.622 0.638 0.654 0.67 0.686 0.702'
    y = '-0.041824842    -0.042730269    -0.043412712    -0.04428867     -0.045509181    -0.04645965     -0.047268246 -0.047974749      -0.048597109     -0.0491467  -0.049632388     -0.050061697      -0.050441198     -0.050776675     -0.051073238      -0.0513354 -0.051567152      -0.051772022     -0.051953128 -0.052113227 -0.052254754 -0.052379865 -0.052490464 -0.052588233 -0.052674662 -0.052751065 -0.052818606 -0.052878312 -0.052931093 -0.052977751 -0.053018997 -0.053055459 -0.053087691 -0.053116185 -0.053141373 -0.05316364 -0.053183324 -0.053200724 -0.053216106 -0.053229704 -0.053241725 -0.053252351 -0.053261745 -0.053270049 -0.053277389 -0.053283879 -0.053289615'
  [../]
[]


[AuxVariables]
  [./stress_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./tot_force]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]

[AuxKernels]
  [./stress_yy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yy
    index_i = 1
    index_j = 1
  [../]
  [./tot_force]
    type = ParsedAux
    coupled_variables = 'stress_yy porepressure'
    execute_on = timestep_end
    variable = tot_force
    expression = '-stress_yy+0.6*porepressure'
  [../]
[]



[Kernels]
  [./grad_stress_x]
    type = StressDivergenceTensors
    variable = disp_x
    component = 0
  [../]
  [./grad_stress_y]
    type = StressDivergenceTensors
    variable = disp_y
    component = 1
  [../]
  [./grad_stress_z]
    type = StressDivergenceTensors
    variable = disp_z
    component = 2
  [../]
    [./poro_x]
    type = PoroMechanicsCoupling
    variable = disp_x
    component = 0
  [../]
  [./poro_y]
    type = PoroMechanicsCoupling
    variable = disp_y
    component = 1
  [../]
  [./poro_z]
    type = PoroMechanicsCoupling
    variable = disp_z
    component = 2
  [../]
  [./poro_timederiv]
    type = PoroFullSatTimeDerivative
    variable = porepressure
  [../]
  [./darcy_flow]
    type = CoefDiffusion
    variable = porepressure
    coef = 1.5
  [../]
[]


[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    C_ijkl = '0.5 0.75'
    # bulk modulus is lambda + 2*mu/3 = 0.5 + 2*0.75/3 = 1
    fill_method = symmetric_isotropic
  [../]
  [./strain]
    type = ComputeSmallStrain
    displacements = 'disp_x disp_y disp_z'
  [../]
  [./stress]
    type = ComputeLinearElasticStress
  [../]
  [./poro_material]
    type = PoroFullSatMaterial
    porosity0 = 0.1
    biot_coefficient = 0.6
    solid_bulk_compliance = 1
    fluid_bulk_compliance = 0.125
    constant_porosity = true
  [../]
[]

[Postprocessors]
  [./p0]
    type = PointValue
    outputs = csv
    point = '0.0 0 0'
    variable = porepressure
  [../]
  [./p1]
    type = PointValue
    outputs = csv
    point = '0.1 0 0'
    variable = porepressure
  [../]
  [./p2]
    type = PointValue
    outputs = csv
    point = '0.2 0 0'
    variable = porepressure
  [../]
  [./p3]
    type = PointValue
    outputs = csv
    point = '0.3 0 0'
    variable = porepressure
  [../]
  [./p4]
    type = PointValue
    outputs = csv
    point = '0.4 0 0'
    variable = porepressure
  [../]
  [./p5]
    type = PointValue
    outputs = csv
    point = '0.5 0 0'
    variable = porepressure
  [../]
  [./p6]
    type = PointValue
    outputs = csv
    point = '0.6 0 0'
    variable = porepressure
  [../]
  [./p7]
    type = PointValue
    outputs = csv
    point = '0.7 0 0'
    variable = porepressure
  [../]
  [./p8]
    type = PointValue
    outputs = csv
    point = '0.8 0 0'
    variable = porepressure
  [../]
  [./p9]
    type = PointValue
    outputs = csv
    point = '0.9 0 0'
    variable = porepressure
  [../]
  [./p99]
    type = PointValue
    outputs = csv
    point = '1 0 0'
    variable = porepressure
  [../]
  [./xdisp]
    type = PointValue
    outputs = csv
    point = '1 0.1 0'
    variable = disp_x
  [../]
  [./ydisp]
    type = PointValue
    outputs = csv
    point = '1 0.1 0'
    variable = disp_y
  [../]
  [./total_downwards_force]
     type = ElementAverageValue
     outputs = csv
     variable = tot_force
  [../]
  [./dt]
    type = FunctionValuePostprocessor
    outputs = console
    function = if(0.15*t<0.01,0.15*t,0.01)
  [../]
[]


[Preconditioning]
  [./andy]
    type = SMP
    full = true
    petsc_options_iname = '-ksp_type -pc_type -snes_atol -snes_rtol -snes_max_it'
    petsc_options_value = 'bcgs bjacobi 1E-14 1E-10 10000'
  [../]
[]

[Executioner]
  type = Transient
  solve_type = Newton
  start_time = 0
  end_time = 0.7
  [./TimeStepper]
    type = PostprocessorDT
    postprocessor = dt
    dt = 0.001
  [../]
[]

[Outputs]
  execute_on = 'timestep_end'
  file_base = mandel
  [./csv]
    time_step_interval = 3
    type = CSV
  [../]
[]

(test/tests/auxkernels/error_function_aux/error_function_aux.i)

[Mesh]
  type = GeneratedMesh
  dim = 2
  nx = 20
  ny = 20
[]

[Variables]
  [./u]
  [../]
[]

[AuxVariables]
  [./element_l2_error]
    # Aux field variable representing the L2 error on each element
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./element_h1_error]
    # Aux field variable representing the H1 error on each element
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./element_l2_norm]
    # Aux field variable representing the L^2 norm of the solution variable
    order = CONSTANT
    family = MONOMIAL
  [../]
[]

[Functions]
  [./exact_fn]
    type = ParsedFunction
    expression = sin(2*pi*x)*sin(2*pi*y)
  [../]

  [./forcing_fn]
    type = ParsedFunction
    expression = 8*pi^2*sin(2*pi*x)*sin(2*pi*y)
  [../]
[]

[Kernels]
  [./diff]
    type = Diffusion
    variable = u
  [../]
  [./ffn]
    type = BodyForce
    variable = u
    function = forcing_fn
  [../]
[]

[AuxKernels]
  [./l2_norm_aux]
    type = ElementLpNormAux
    variable = element_l2_norm
    coupled_variable = u
  [../]
  [./l2_error_aux]
    type = ElementL2ErrorFunctionAux
    variable = element_l2_error
    # A function representing the exact solution for the solution
    function = exact_fn
    # The nonlinear variable representing the FEM solution
    coupled_variable = u
  [../]
  [./h1_error_aux]
    type = ElementH1ErrorFunctionAux
    variable = element_h1_error
    # A function representing the exact solution for the solution
    function = exact_fn
    # The nonlinear variable representing the FEM solution
    coupled_variable = u
  [../]
[]

[BCs]
  [./all]
    type = FunctionDirichletBC
    variable = u
    boundary = 'bottom left right top'
    function = exact_fn
  [../]
[]

[Postprocessors]
  [./L2_error]
    # The L2 norm of the error over the entire mesh.  Note: this is
    # *not* equal to the sum over all the elements of the L2-error
    # norms.
    type = ElementL2Error
    variable = u
    function = exact_fn
  [../]
[]

[Executioner]
  type = Steady
  petsc_options_iname = '-pc_type -pc_hypre_type'
  petsc_options_value = 'hypre boomeramg'
[]

[Outputs]
  exodus = true
[]

(test/tests/bcs/nodal_normals/circle_tris.i)

[Mesh]
  file = circle-tris.e
[]

[Functions]
  [all_bc_fn]
    type = ParsedFunction
    expression = x*x+y*y
  []

  [f_fn]
    type = ParsedFunction
    expression = -4
  []

  [analytical_normal_x]
    type = ParsedFunction
    expression = x
  []
  [analytical_normal_y]
    type = ParsedFunction
    expression = y
  []
[]

[NodalNormals]
[]

[Variables]
  [u]
  []
[]

[Kernels]
  [diff]
    type = Diffusion
    variable = u
  []
  [ffn]
    type = BodyForce
    variable = u
    function = f_fn
  []
[]

[BCs]
  [all]
    type = FunctionDirichletBC
    variable = u
    boundary = '1'
    function = 'all_bc_fn'
  []
[]

[Postprocessors]
  [nx_pps]
    type = NodalL2Error
    variable = nodal_normal_x
    boundary = '1'
    function = analytical_normal_x
  []
  [ny_pps]
    type = NodalL2Error
    variable = nodal_normal_y
    boundary = '1'
    function = analytical_normal_y
  []
[]

[Executioner]
  type = Steady

  solve_type = 'PJFNK'
  nl_rel_tol = 1e-13
[]

[Outputs]
  execute_on = 'timestep_end'
  exodus = true
[]

(modules/solid_mechanics/test/tests/crystal_plasticity/monolithic_material_based/crysp_user_object.i)

[Mesh]
  type = GeneratedMesh
  dim = 2
  elem_type = QUAD4
  displacements = 'disp_x disp_y'
  nx = 2
  ny = 2
[]

[Variables]
  [./disp_x]
    block = 0
  [../]
  [./disp_y]
    block = 0
  [../]
[]

[GlobalParams]
  volumetric_locking_correction=true
[]

[AuxVariables]
  [./stress_yy]
    order = CONSTANT
    family = MONOMIAL
    block = 0
  [../]
  [./e_yy]
    order = CONSTANT
    family = MONOMIAL
    block = 0
  [../]
  [./fp_yy]
    order = CONSTANT
    family = MONOMIAL
    block = 0
  [../]
  [./rotout]
    order = CONSTANT
    family = MONOMIAL
    block = 0
  [../]
  [./gss1]
    order = CONSTANT
    family = MONOMIAL
    block = 0
  [../]
[]

[Functions]
  [./tdisp]
    type = ParsedFunction
    expression = 0.01*t
  [../]
[]

[UserObjects]
  [./prop_read]
    type = PropertyReadFile
    prop_file_name = 'euler_ang_file.txt'
    # Enter file data as prop#1, prop#2, .., prop#nprop
    nprop = 3
    read_type = element
  [../]
[]

[AuxKernels]
  [./stress_yy]
    type = RankTwoAux
    variable = stress_yy
    rank_two_tensor = stress
    index_j = 1
    index_i = 1
    execute_on = timestep_end
    block = 0
  [../]
  [./e_yy]
    type = RankTwoAux
    variable = e_yy
    rank_two_tensor = lage
    index_j = 1
    index_i = 1
    execute_on = timestep_end
    block = 0
  [../]
  [./fp_yy]
    type = RankTwoAux
    variable = fp_yy
    rank_two_tensor = fp
    index_j = 1
    index_i = 1
    execute_on = timestep_end
    block = 0
  [../]
  [./gss1]
    type = MaterialStdVectorAux
    variable = gss1
    property = gss
    index = 0
    execute_on = timestep_end
    block = 0
  [../]
[]

[BCs]
  [./fix_x]
    type = DirichletBC
    variable = disp_x
    boundary = 'left'
    value = 0
  [../]
  [./fix_y]
    type = DirichletBC
    variable = disp_y
    boundary = 'bottom'
    value = 0
  [../]
  [./tdisp]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = top
    function = tdisp
  [../]
[]

[Materials]
  [./crysp]
    type = FiniteStrainCrystalPlasticity
    block = 0
    gtol = 1e-2
    slip_sys_file_name = input_slip_sys.txt
    nss = 12
    num_slip_sys_flowrate_props = 2 #Number of properties in a slip system
    flowprops = '1 4 0.001 0.1 5 8 0.001 0.1 9 12 0.001 0.1'
    hprops = '1.0 541.5 60.8 109.8 2.5'
    gprops = '1 4 60.8 5 8 60.8 9 12 60.8'
    tan_mod_type = exact
  [../]
  [./strain]
    type = ComputeFiniteStrain
    block = 0
    displacements = 'disp_x disp_y'
  [../]
  [./elasticity_tensor]
    type = ComputeElasticityTensorCP
    block = 0
    C_ijkl = '1.684e5 1.214e5 1.214e5 1.684e5 1.214e5 1.684e5 0.754e5 0.754e5 0.754e5'
    fill_method = symmetric9
    read_prop_user_object = prop_read
  [../]
[]

[Postprocessors]
  [./stress_yy]
    type = ElementAverageValue
    variable = stress_yy
    block = 'ANY_BLOCK_ID 0'
  [../]
  [./e_yy]
    type = ElementAverageValue
    variable = e_yy
    block = 'ANY_BLOCK_ID 0'
  [../]
  [./fp_yy]
    type = ElementAverageValue
    variable = fp_yy
    block = 'ANY_BLOCK_ID 0'
  [../]
  [./gss1]
    type = ElementAverageValue
    variable = gss1
    block = 'ANY_BLOCK_ID 0'
  [../]
[]

[Preconditioning]
  [./smp]
    type = SMP
    full = true
  [../]
[]

[Executioner]
  type = Transient

  #Preconditioned JFNK (default)
  solve_type = 'PJFNK'

  petsc_options_iname = '-pc_type'
  petsc_options_value = 'lu'

  nl_rel_tol = 1e-10
  nl_abs_tol = 1e-10

  dt = 0.01
  dtmax = 10.0
  dtmin = 0.01

  num_steps = 10
[]

[Outputs]
  file_base = crysp_user_object_out
  exodus = true
[]

[Kernels]
  [SolidMechanics]
    displacements = 'disp_x disp_y'
    use_displaced_mesh = true
  [../]
[]

(test/tests/executioners/executioner/steady.i)

[Mesh]
  type = GeneratedMesh
  dim = 2
  xmin = -1
  xmax = 1
  ymin = -1
  ymax = 1
  nx = 5
  ny = 5
  elem_type = QUAD9
[]

[Variables]
  active = 'u'

  [./u]
    order = SECOND
    family = LAGRANGE
  [../]
[]

[Functions]
  [./forcing_fn]
    type = ParsedFunction
    expression = -4
  [../]

  [./exact_fn]
    type = ParsedFunction
    expression = ((x*x)+(y*y))
  [../]
[]

[Kernels]
  active = 'diff ffn'

  [./diff]
    type = Diffusion
    variable = u
  [../]

  [./ffn]
    type = BodyForce
    variable = u
    function = forcing_fn
  [../]
[]

[BCs]
  active = 'all'

  [./all]
    type = FunctionDirichletBC
    variable = u
    boundary = '0 1 2 3'
    function = exact_fn
  [../]
[]

[Postprocessors]
  [./l2_err]
    type = ElementL2Error
    variable = u
    function = exact_fn
  [../]
[]

[Executioner]
  type = Steady

  solve_type = 'PJFNK'
[]

[Outputs]
  execute_on = 'timestep_end'
  file_base = out_steady
  exodus = true
[]

(modules/contact/test/tests/pdass_problems/cylinder_friction_penalty.i)

[GlobalParams]
  volumetric_locking_correction = true
  displacements = 'disp_x disp_y'
[]

[Mesh]
  [input_file]
    type = FileMeshGenerator
    file = hertz_cyl_coarser.e
  []
  [secondary]
    type = LowerDBlockFromSidesetGenerator
    new_block_id = 10001
    new_block_name = 'secondary_lower'
    sidesets = '3'
    input = input_file
  []
  [primary]
    type = LowerDBlockFromSidesetGenerator
    new_block_id = 10000
    sidesets = '2'
    new_block_name = 'primary_lower'
    input = secondary
  []
  allow_renumbering = false
[]

[Problem]
  type = ReferenceResidualProblem
  extra_tag_vectors = 'ref'
  reference_vector = 'ref'
[]

[Variables]
  [disp_x]
  []
  [disp_y]
  []
[]

[AuxVariables]
  [penalty_normal_pressure]
    order = FIRST
    family = LAGRANGE
  []
  [penalty_frictional_pressure]
    order = FIRST
    family = LAGRANGE
  []
  [accumulated_slip_one]
    order = FIRST
    family = LAGRANGE
  []
  [tangential_vel_one]
    order = FIRST
    family = LAGRANGE
  []
  [weighted_gap]
    order = FIRST
    family = LAGRANGE
  []
  [stress_xx]
    order = CONSTANT
    family = MONOMIAL
  []
  [stress_yy]
    order = CONSTANT
    family = MONOMIAL
  []
  [stress_xy]
    order = CONSTANT
    family = MONOMIAL
  []
  [react_x]
  []
  [react_y]
  []
[]

[Functions]
  [disp_ramp_vert]
    type = PiecewiseLinear
    x = '0. 1. 3.5'
    y = '0. -0.020 -0.020'
  []
  [disp_ramp_horz]
    type = PiecewiseLinear
    x = '0. 1. 3.5'
    y = '0. 0.0 0.015'
  []
[]

[Kernels]
  [TensorMechanics]
    use_displaced_mesh = true
    extra_vector_tags = 'ref'
    block = '1 2 3 4 5 6 7'
  []
[]

[AuxKernels]
  [penalty_normal_pressure_auxk]
    type = PenaltyMortarUserObjectAux
    variable = penalty_normal_pressure
    user_object = friction_uo
    contact_quantity = normal_pressure
  []
  [penalty_frictional_pressure_auxk]
    type = PenaltyMortarUserObjectAux
    variable = penalty_frictional_pressure
    user_object = friction_uo
    contact_quantity = tangential_pressure_one
  []
  [penalty_accumulated_slip_auxk]
    type = PenaltyMortarUserObjectAux
    variable = accumulated_slip_one
    user_object = friction_uo
    contact_quantity = accumulated_slip_one
  []
  [penalty_tangential_vel_auxk]
    type = PenaltyMortarUserObjectAux
    variable = tangential_vel_one
    user_object = friction_uo
    contact_quantity = tangential_velocity_one
  []
  [penalty_weighted_gap_auxk]
    type = PenaltyMortarUserObjectAux
    variable = weighted_gap
    user_object = friction_uo
    contact_quantity = normal_gap
  []
  [stress_xx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xx
    index_i = 0
    index_j = 0
    execute_on = timestep_end
    block = '1 2 3 4 5 6 7'
  []
  [stress_yy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yy
    index_i = 1
    index_j = 1
    execute_on = timestep_end
    block = '1 2 3 4 5 6 7'
  []
  [stress_xy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xy
    index_i = 0
    index_j = 1
    execute_on = timestep_end
    block = '1 2 3 4 5 6 7'
  []
  [react_x]
    type = TagVectorAux
    vector_tag = 'ref'
    v = 'disp_x'
    variable = 'react_x'
  []
  [react_y]
    type = TagVectorAux
    vector_tag = 'ref'
    v = 'disp_y'
    variable = 'react_y'
  []
[]

[Postprocessors]
  [bot_react_x]
    type = NodalSum
    variable = react_x
    boundary = 1
  []
  [bot_react_y]
    type = NodalSum
    variable = react_y
    boundary = 1
  []
  [top_react_x]
    type = NodalSum
    variable = react_x
    boundary = 4
  []
  [top_react_y]
    type = NodalSum
    variable = react_y
    boundary = 4
  []
[]

[BCs]
  [side_x]
    type = DirichletBC
    variable = disp_y
    boundary = '1 2'
    value = 0.0
  []
  [bot_y]
    type = DirichletBC
    variable = disp_x
    boundary = '1 2'
    value = 0.0
  []
  [top_y_disp]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 4
    function = disp_ramp_vert
  []
  [top_x_disp]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 4
    function = disp_ramp_horz
  []
[]

[Materials]
  [stuff1_elas_tens]
    type = ComputeIsotropicElasticityTensor
    block = '1'
    youngs_modulus = 1e10
    poissons_ratio = 0.0
  []
  [stuff1_strain]
    type = ComputeFiniteStrain
    block = '1'
  []
  [stuff1_stress]
    type = ComputeFiniteStrainElasticStress
    block = '1'
  []
  [stuff2_elas_tens]
    type = ComputeIsotropicElasticityTensor
    block = '2 3 4 5 6 7'
    youngs_modulus = 1e6
    poissons_ratio = 0.3
  []
  [stuff2_strain]
    type = ComputeFiniteStrain
    block = '2 3 4 5 6 7'
  []
  [stuff2_stress]
    type = ComputeFiniteStrainElasticStress
    block = '2 3 4 5 6 7'
  []
[]

[Executioner]
  type = Transient
  solve_type = 'PJFNK'

  petsc_options = '-snes_ksp_ew'
  petsc_options_iname = '-pc_type -pc_factor_mat_solver_type -pc_factor_shift_type '
                        '-pc_factor_shift_amount -mat_mffd_err'
  petsc_options_value = 'lu       superlu_dist                  NONZERO               1e-15          '
                        '         1e-5'

  line_search = 'none'

  nl_abs_tol = 1e-14
  nl_rel_tol = 1e-10
  start_time = 0.0
  end_time = 0.3 # 3.5
  l_tol = 1e-4
  dt = 0.1
  dtmin = 0.001
  [Predictor]
    type = SimplePredictor
    scale = 1.0
  []
[]

[Preconditioning]
  [SMP]
    type = SMP
    full = true
  []
[]

[VectorPostprocessors]
  [x_disp]
    type = NodalValueSampler
    variable = disp_x
    boundary = '3'
    sort_by = id
  []
  [y_disp]
    type = NodalValueSampler
    variable = disp_y
    boundary = '3'
    sort_by = id
  []
  [cont_press]
    type = NodalValueSampler
    variable = penalty_normal_pressure
    boundary = '3'
    sort_by = id
  []
  [friction]
    type = NodalValueSampler
    variable = penalty_frictional_pressure
    boundary = '3'
    sort_by = id
  []
[]

[Outputs]
  print_linear_residuals = true
  perf_graph = true
  exodus = true
  csv = false
  [console]
    type = Console
    max_rows = 5
  []
  [chkfile]
    type = CSV
    show = 'x_disp y_disp cont_press friction'
    file_base = cylinder_friction_penalty_check
    create_final_symlink = true
    execute_on = 'FINAL'
  []
[]

[UserObjects]
  [friction_uo]
    type = PenaltyFrictionUserObject
    primary_boundary = '2'
    secondary_boundary = '3'
    primary_subdomain = '10000'
    secondary_subdomain = '10001'
    disp_x = disp_x
    disp_y = disp_y
    friction_coefficient = 0.4 # with 2.0 works
    secondary_variable = disp_x
    penalty = 5e9
    penalty_friction = 1e7
  []
[]

[Constraints]
  [x]
    type = NormalMortarMechanicalContact
    primary_boundary = '2'
    secondary_boundary = '3'
    primary_subdomain = '10000'
    secondary_subdomain = '10001'
    secondary_variable = disp_x
    component = x
    use_displaced_mesh = true
    compute_lm_residuals = false
    weighted_gap_uo = friction_uo
  []
  [y]
    type = NormalMortarMechanicalContact
    primary_boundary = '2'
    secondary_boundary = '3'
    primary_subdomain = '10000'
    secondary_subdomain = '10001'
    secondary_variable = disp_y
    component = y
    use_displaced_mesh = true
    compute_lm_residuals = false
    weighted_gap_uo = friction_uo
  []
  [tangential_x]
    type = TangentialMortarMechanicalContact
    primary_boundary = 2
    secondary_boundary = 3
    primary_subdomain = 10000
    secondary_subdomain = 10001
    secondary_variable = disp_x
    component = x
    use_displaced_mesh = true
    compute_lm_residuals = false
    weighted_velocities_uo = friction_uo
  []
  [tangential_y]
    type = TangentialMortarMechanicalContact
    primary_boundary = 2
    secondary_boundary = 3
    primary_subdomain = 10000
    secondary_subdomain = 10001
    secondary_variable = disp_y
    component = y
    use_displaced_mesh = true
    compute_lm_residuals = false
    weighted_velocities_uo = friction_uo
  []
[]

(modules/solid_mechanics/test/tests/weak_plane_shear/small_deform_harden3.i)

# apply repeated stretches to observe cohesion hardening
[GlobalParams]
  displacements = 'x_disp y_disp z_disp'
[]

[Mesh]
  type = GeneratedMesh
  dim = 3
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]

[Physics/SolidMechanics/QuasiStatic/all]
  strain = FINITE
  add_variables = true
  generate_output = 'stress_xz stress_zx stress_yz stress_zz'
[]

[BCs]
  [bottomx]
    type = DirichletBC
    variable = x_disp
    boundary = back
    value = 0.0
  []
  [bottomy]
    type = DirichletBC
    variable = y_disp
    boundary = back
    value = 0.0
  []
  [bottomz]
    type = DirichletBC
    variable = z_disp
    boundary = back
    value = 0.0
  []

  [topx]
    type = FunctionDirichletBC
    variable = x_disp
    boundary = front
    function = '0'
  []
  [topy]
    type = FunctionDirichletBC
    variable = y_disp
    boundary = front
    function = '0'
  []
  [topz]
    type = FunctionDirichletBC
    variable = z_disp
    boundary = front
    function = '2*t'
  []
[]

[AuxVariables]
  [wps_internal]
    order = CONSTANT
    family = MONOMIAL
  []
  [yield_fcn]
    order = CONSTANT
    family = MONOMIAL
  []
[]

[AuxKernels]
  [wps_internal_auxk]
    type = MaterialStdVectorAux
    property = plastic_internal_parameter
    index = 0
    variable = wps_internal
  []
  [yield_fcn_auxk]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 0
    variable = yield_fcn
  []
[]

[Postprocessors]
  [s_xz]
    type = PointValue
    point = '0 0 0'
    variable = stress_xz
  []
  [s_yz]
    type = PointValue
    point = '0 0 0'
    variable = stress_yz
  []
  [s_zz]
    type = PointValue
    point = '0 0 0'
    variable = stress_zz
  []
  [f]
    type = PointValue
    point = '0 0 0'
    variable = yield_fcn
  []
  [int]
    type = PointValue
    point = '0 0 0'
    variable = wps_internal
  []
[]

[UserObjects]
  [coh]
    type = SolidMechanicsHardeningExponential
    value_0 = 1E3
    value_residual = 2E3
    rate = 0
  []
  [tanphi]
    type = SolidMechanicsHardeningExponential
    value_0 = 1
    value_residual = 0.577350269
    rate = 4E4
  []
  [tanpsi]
    type = SolidMechanicsHardeningExponential
    value_0 = 0.01745506
    value_residual = 0.01745506
    rate = 1E8
  []
  [wps]
    type = SolidMechanicsPlasticWeakPlaneShear
    cohesion = coh
    tan_friction_angle = tanphi
    tan_dilation_angle = tanpsi
    smoother = 500
    yield_function_tolerance = 1E-3
    internal_constraint_tolerance = 1E-3
  []
[]

[Materials]
  [elasticity_tensor]
    type = ComputeElasticityTensor
    fill_method = symmetric_isotropic
    C_ijkl = '1E9 0.5E9'
  []
  [mc]
    type = ComputeMultiPlasticityStress
    plastic_models = wps
    transverse_direction = '0 0 1'
    ep_plastic_tolerance = 1E-3
    debug_fspb = crash
  []
[]

[Executioner]
  end_time = 1E-6
  dt = 1E-7
  type = Transient
[]

[Outputs]
  csv = true
[]

(modules/contact/test/tests/catch_release/catch_release.i)

[GlobalParams]
  volumetric_locking_correction = true
  displacements = 'disp_x disp_y disp_z'
[]

[Mesh]
  file = catch_release.e
[]

[Functions]
  [./up]
    type = PiecewiseLinear
    x = '0 1 2.00 3 4'
    y = '0 1 1.01 1 0'
    scale_factor = 0.5
  [../]
[]

[Physics/SolidMechanics/QuasiStatic]
  [./all]
    add_variables = true
    strain = FINITE
    generate_output = 'stress_yy'
  []
[]

[Contact]
  [./dummy_name]
    primary = 2
    secondary = 3
    penalty = 1e6
    model = frictionless
  [../]
[]

[BCs]
  [./lateral]
    type = DirichletBC
    variable = disp_x
    boundary = '1 4'
    value = 0.0
  [../]

  [./bottom_up]
    type = FunctionDirichletBC
    variable = disp_y
    preset = false
    boundary = 1
    function = up
  [../]

  [./out]
    type = DirichletBC
    variable = disp_z
    boundary = '1 4'
    value = 0.0
  [../]

  [./top]
    type = DirichletBC
    variable = disp_y
    boundary = 4
    value = 0.0
  [../]
[]

[Materials]
  [./stiffStuff]
    type = ComputeIsotropicElasticityTensor
    block = '1 2'
    youngs_modulus = 1e6
    poissons_ratio = 0.3
  [../]
  [./stiffStuffStress]
    type = ComputeFiniteStrainElasticStress
  []
[]

[Executioner]
  type = Transient
  solve_type = 'PJFNK'

  #petsc_options_iname = '-pc_type -snes_type -snes_ls -snes_linesearch_type -ksp_gmres_restart'
  #petsc_options_value = 'ilu      ls         basic    basic                    101'
  petsc_options_iname = '-pc_type -pc_hypre_type -ksp_gmres_restart'
  petsc_options_value = 'hypre    boomeramg      101'

  line_search = 'none'

  nl_abs_tol = 1e-8
  nl_rel_tol = 1e-4
  l_tol = 1e-4

  l_max_its = 100
  nl_max_its = 20
  dt = 1.0
  end_time = 4.0
[]

[Outputs]
  exodus = true
[]

(modules/stochastic_tools/test/tests/controls/libtorch_drl_control/libtorch_drl_control.i)

[Mesh]
  [mesh]
    type = GeneratedMeshGenerator
    dim = 1
    xmin = 0.0
    xmax = 7.0
    nx = 20
  []
[]

[Variables]
  [temp]
    initial_condition = 300
  []
[]

[Kernels]
  [time]
    type = CoefTimeDerivative
    variable = temp
    Coefficient = '${fparse 1.00630182*1.225}'
  []
  [heat_conduc]
    type = MatDiffusion
    variable = temp
    diffusivity = 'k'
  []
[]

[BCs]
  [left_flux]
    type = NeumannBC
    value = 0.0
    boundary = 'left'
    variable = temp
  []
  [dirichlet]
    type = FunctionDirichletBC
    function = temp_env
    variable = temp
    boundary = 'right'
  []
[]

[Functions]
  [temp_env]
    type = ParsedFunction
    value = '15.0*sin(t/86400.0 *pi) + 273.0'
  []
[]

[Materials]
  [constant]
    type = GenericConstantMaterial
    prop_names = 'k'
    prop_values = 26.53832364
  []
[]

[Postprocessors]
  [center_temp]
    type = PointValue
    variable = temp
    point = '3.5 0.0 0.0'
    execute_on = 'INITIAL TIMESTEP_BEGIN'
  []
  [center_temp_tend]
    type = PointValue
    variable = temp
    point = '3.5 0.0 0.0'
    execute_on = 'INITIAL TIMESTEP_END'
  []
  [env_temp]
    type = FunctionValuePostprocessor
    function = temp_env
    execute_on = 'INITIAL TIMESTEP_BEGIN'
  []
  [left_flux]
    type = LibtorchControlValuePostprocessor
    control_name = src_control
    execute_on = 'INITIAL TIMESTEP_END'
  []
  [log_prob_left_flux]
    type = LibtorchDRLLogProbabilityPostprocessor
    control_name = src_control
    execute_on = 'INITIAL TIMESTEP_END'
  []
[]

[Controls]
  inactive = src_control_empty
  [src_control]
    seed = 11
    type = LibtorchDRLControl
    parameters = "BCs/left_flux/value"
    responses = 'center_temp env_temp'

    input_timesteps = 2
    response_scaling_factors = '0.03 0.03'
    response_shift_factors = '270 270'
    action_standard_deviations = '0.1'
    action_scaling_factors = 200

    filename = 'mynet_control.net'
    torch_script_format = false
    num_neurons_per_layer = '16 6'
    activation_function = 'relu'

    execute_on = 'TIMESTEP_BEGIN'
  []
  [src_control_empty]
    type = LibtorchDRLControl
    parameters = "BCs/left_flux/value"
    responses = 'center_temp env_temp'

    input_timesteps = 2
    response_scaling_factors = '0.03 0.03'
    response_shift_factors = '270 270'
    action_standard_deviations = '0.1'
    action_scaling_factors = 100

    execute_on = 'TIMESTEP_BEGIN'
  []
[]

[Executioner]
  type = Transient
  solve_type = 'NEWTON'

  petsc_options_iname = '-pc_type -pc_factor_shift_type'
  petsc_options_value = 'lu NONZERO'
  line_search = 'none'

  nl_rel_tol = 1e-8

  start_time = 0.0
  end_time = 18000
  dt = 1800.0
[]

[Outputs]
  csv = true
[]

(modules/contact/test/tests/mechanical_constraint/frictionless_kinematic.i)

[Mesh]
  file = blocks_2d.e
[]

[GlobalParams]
  volumetric_locking_correction = false
  displacements = 'disp_x disp_y'
[]

[AuxVariables]
  [./penetration]
  [../]
  [./inc_slip_x]
  [../]
  [./inc_slip_y]
  [../]
  [./accum_slip_x]
  [../]
  [./accum_slip_y]
  [../]
[]

[Functions]
  [./vertical_movement]
    type = ParsedFunction
    expression = -t
  [../]
[]

[Physics/SolidMechanics/QuasiStatic]
  [./all]
    add_variables = true
    strain = FINITE
  [../]
[]

[AuxKernels]
  [./zeroslip_x]
    type = ConstantAux
    variable = inc_slip_x
    boundary = 3
    execute_on = timestep_begin
    value = 0.0
  [../]
  [./zeroslip_y]
    type = ConstantAux
    variable = inc_slip_y
    boundary = 3
    execute_on = timestep_begin
    value = 0.0
  [../]
  [./accum_slip_x]
    type = AccumulateAux
    variable = accum_slip_x
    accumulate_from_variable = inc_slip_x
    execute_on = timestep_end
  [../]
  [./accum_slip_y]
    type = AccumulateAux
    variable = accum_slip_y
    accumulate_from_variable = inc_slip_y
    execute_on = timestep_end
  [../]
  [./penetration]
    type = PenetrationAux
    variable = penetration
    boundary = 3
    paired_boundary = 2
  [../]
[]

[BCs]
  [./left_x]
    type = DirichletBC
    variable = disp_x
    boundary = 1
    value = 0.0
  [../]
  [./left_y]
    type = DirichletBC
    variable = disp_y
    boundary = 1
    value = 0.0
  [../]
  [./right_x]
    type = DirichletBC
    variable = disp_x
    boundary = 4
    #Initial gap is 0.01
    value = -0.02
  [../]
  [./right_y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 4
    function = vertical_movement
  [../]
[]

[Materials]
  [./left]
    type = ComputeIsotropicElasticityTensor
    block = '1'
    youngs_modulus = 1e7
    poissons_ratio = 0.3
  [../]
  [./right]
    type = ComputeIsotropicElasticityTensor
    block = '2'
    youngs_modulus = 1e6
    poissons_ratio = 0.3
  [../]
  [./stress]
    type = ComputeFiniteStrainElasticStress
    block = '1 2'
  [../]
[]

[Executioner]
  type = Transient

  solve_type = 'PJFNK'

  petsc_options_iname = '-pc_type'
  petsc_options_value = 'lu'

  line_search = 'none'

  l_max_its = 100
  nl_max_its = 1000
  dt = 0.01
  end_time = 0.10
  num_steps = 1000
  l_tol = 1e-6
  nl_rel_tol = 1e-10
  nl_abs_tol = 1e-8
  dtmin = 0.01

  [./Predictor]
    type = SimplePredictor
    scale = 1.0
  [../]
[]

[Outputs]
  [./out]
    type = Exodus
    elemental_as_nodal = true
  [../]
  [./console]
    type = Console
    max_rows = 5
  [../]
[]

[Contact]
  [./leftright]
    primary = 2
    secondary = 3
    model = frictionless
    penalty = 1e+6
  [../]
[]

(test/tests/multiapps/restart_subapp_ic/sub.i)

[Mesh]
  type = GeneratedMesh
  dim = 1
  xmin = 0
  xmax = 1
  nx = 10
[]

[Functions]
  [u_fn]
    type = ParsedFunction
    expression = t*x
  []
  [ffn]
    type = ParsedFunction
    expression = x
  []
[]

[Variables]
  [u]
  []
[]

[Kernels]
  [diff]
    type = Diffusion
    variable = u
  []
  [td]
    type = TimeDerivative
    variable = u
  []
  [fn]
    type = BodyForce
    variable = u
    function = ffn
  []
[]

[BCs]
  [left]
    type = DirichletBC
    variable = u
    boundary = left
    value = 0
  []
  [right]
    type = FunctionDirichletBC
    variable = u
    boundary = right
    function = u_fn
  []
[]

[Executioner]
  type = Transient
  num_steps = 5
  dt = 0.1
  solve_type = 'PJFNK'
[]

[Outputs]
  exodus = true
[]

(modules/combined/test/tests/phase_field_fracture/crack2d_computeCrackedStress_smallstrain.i)

#This input uses PhaseField-Nonconserved Action to add phase field fracture bulk rate kernels
[Mesh]
  [gen]
    type = GeneratedMeshGenerator
    dim = 2
    nx = 40
    ny = 20
    ymax = 0.5
  []
  [./noncrack]
    type = BoundingBoxNodeSetGenerator
    new_boundary = noncrack
    bottom_left = '0.5 0 0'
    top_right = '1 0 0'
    input = gen
  [../]
[]

[GlobalParams]
  displacements = 'disp_x disp_y'
[]

[AuxVariables]
  [./strain_yy]
    family = MONOMIAL
    order = CONSTANT
  [../]
[]

[Physics]
  [./SolidMechanics]
    [./QuasiStatic]
      [./All]
        add_variables = true
        strain = SMALL
        planar_formulation = PLANE_STRAIN
        additional_generate_output = 'stress_yy'
        strain_base_name = uncracked
      [../]
    [../]
  [../]
[]
[Modules]
  [./PhaseField]
    [./Nonconserved]
      [./c]
        free_energy = E_el
        kappa = kappa_op
        mobility = L
      [../]
    [../]
  [../]
[]

[Kernels]
  [./solid_x]
    type = PhaseFieldFractureMechanicsOffDiag
    variable = disp_x
    component = 0
    c = c
  [../]
  [./solid_y]
    type = PhaseFieldFractureMechanicsOffDiag
    variable = disp_y
    component = 1
    c = c
  [../]
  [./off_disp]
    type = AllenCahnElasticEnergyOffDiag
    variable = c
    displacements = 'disp_x disp_y'
    mob_name = L
  [../]
[]

[AuxKernels]
  [./strain_yy]
    type = RankTwoAux
    variable = strain_yy
    rank_two_tensor = uncracked_mechanical_strain
    index_i = 1
    index_j = 1
  [../]
[]

[BCs]
  [./ydisp]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = top
    function = 't'
  [../]
  [./yfix]
    type = DirichletBC
    variable = disp_y
    boundary = noncrack
    value = 0
  [../]
  [./xfix]
    type = DirichletBC
    variable = disp_x
    boundary = right
    value = 0
  [../]
[]

[Materials]
  [./pfbulkmat]
    type = GenericConstantMaterial
    prop_names = 'gc_prop l visco'
    prop_values = '1e-3 0.05 1e-6'
  [../]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    C_ijkl = '127.0 70.8 70.8 127.0 70.8 127.0 73.55 73.55 73.55'
    fill_method = symmetric9
    base_name = uncracked
    euler_angle_1 = 30
    euler_angle_2 = 0
    euler_angle_3 = 0
  [../]
  [./elastic]
    type = ComputeLinearElasticStress
    base_name = uncracked
  [../]
  [./cracked_stress]
    type = ComputeCrackedStress
    c = c
    kdamage = 1e-6
    F_name = E_el
    use_current_history_variable = true
    uncracked_base_name = uncracked
  [../]
[]

[Postprocessors]
  [./av_stress_yy]
    type = ElementAverageValue
    variable = stress_yy
  [../]
  [./av_strain_yy]
    type = SideAverageValue
    variable = disp_y
    boundary = top
  [../]
[]

[Preconditioning]
  [./smp]
    type = SMP
    full = true
  [../]
[]

[Executioner]
  type = Transient

  solve_type = PJFNK
  petsc_options_iname = '-pc_type -pc_factor_mat_solving_package'
  petsc_options_value = 'lu superlu_dist'

  nl_rel_tol = 1e-8
  l_tol = 1e-4
  l_max_its = 100
  nl_max_its = 10

  dt = 5e-5
  num_steps = 2
[]

[Outputs]
  exodus = true
[]

(modules/contact/test/tests/sliding_block/sliding/frictional_02_aug.i)

#  This is a benchmark test that checks constraint based frictional
#  contact using the augmented lagrangian method.  In this test a constant
#  displacement is applied in the horizontal direction to simulate
#  a small block come sliding down a larger block.
#
#  A friction coefficient of 0.2 is used.  The gold file is run on one processor
#  and the benchmark case is run on a minimum of 4 processors to ensure no
#  parallel variability in the contact pressure and penetration results.
#

[Mesh]
  file = sliding_elastic_blocks_2d.e
  patch_size = 80
[]

[GlobalParams]
  displacements = 'disp_x disp_y'
  volumetric_locking_correction = false
[]

[AuxVariables]
  [./contact_traction]
  [../]
  [./penetration]
  [../]
  [./inc_slip_x]
  [../]
  [./inc_slip_y]
  [../]
  [./accum_slip_x]
  [../]
  [./accum_slip_y]
  [../]
  [./saved_x]
  [../]
  [./saved_y]
  [../]
  [./diag_saved_x]
  [../]
  [./diag_saved_y]
  [../]
  [./tang_force_x]
  [../]
  [./tang_force_y]
  [../]
[]

[Functions]
  [./vertical_movement]
    type = ParsedFunction
    expression = -t
  [../]
[]

[Physics/SolidMechanics/QuasiStatic]
  [./all]
    add_variables = true
    strain = FINITE
    save_in = 'saved_x saved_y'
    extra_vector_tags = 'ref'
  [../]
[]


[AuxKernels]
  [./zeroslip_x]
    type = ConstantAux
    variable = inc_slip_x
    boundary = 3
    execute_on = timestep_begin
    value = 0.0
  [../]
  [./zeroslip_y]
    type = ConstantAux
    variable = inc_slip_y
    boundary = 3
    execute_on = timestep_begin
    value = 0.0
  [../]
  [./accum_slip_x]
    type = AccumulateAux
    variable = accum_slip_x
    accumulate_from_variable = inc_slip_x
    execute_on = timestep_end
  [../]
  [./accum_slip_y]
    type = AccumulateAux
    variable = accum_slip_y
    accumulate_from_variable = inc_slip_y
    execute_on = timestep_end
  [../]
  [./penetration]
    type = PenetrationAux
    variable = penetration
    boundary = 3
    paired_boundary = 2
  [../]
[]

[Postprocessors]
  [./nonlinear_its]
    type = NumNonlinearIterations
    execute_on = timestep_end
  [../]
  [./penetration]
    type = NodalVariableValue
    variable = penetration
    nodeid = 222
  [../]
  [./contact_pressure]
    type = NodalVariableValue
    variable = contact_pressure
    nodeid = 222
  [../]
[]

[BCs]
  [./left_x]
    type = DirichletBC
    variable = disp_x
    boundary = 1
    value = 0.0
  [../]
  [./left_y]
    type = DirichletBC
    variable = disp_y
    boundary = 1
    value = 0.0
  [../]
  [./right_x]
    type = DirichletBC
    variable = disp_x
    boundary = 4
    value = -0.02
  [../]
  [./right_y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 4
    function = vertical_movement
  [../]
[]

[Materials]
  [./left]
    type = ComputeIsotropicElasticityTensor
    block = '1 2'
    youngs_modulus = 1e6
    poissons_ratio = 0.3
  [../]
  [./stress]
    type = ComputeFiniteStrainElasticStress
    block = '1 2'
  [../]
[]

[Executioner]
  type = Transient
  solve_type = 'PJFNK'

  petsc_options = '-snes_ksp_ew'
  petsc_options_iname = '-pc_type -pc_factor_mat_solver_type'
  petsc_options_value = 'lu     superlu_dist'

  line_search = 'none'

  l_max_its = 20
  nl_max_its = 200
  dt = 0.1
  end_time = 15
  num_steps = 200
  l_tol = 1e-6
  nl_rel_tol = 1e-8
  nl_abs_tol = 1e-8
  dtmin = 0.01

  [./Predictor]
    type = SimplePredictor
    scale = 1.0
  [../]
[]

[Outputs]
  time_step_interval = 10
  [./out]
    type = Exodus
    elemental_as_nodal = true
  [../]
  [./console]
    type = Console
    max_rows = 5
  [../]
[]

[Problem]
  type = AugmentedLagrangianContactProblem
  solution_variables = 'disp_x disp_y'
  extra_tag_vectors = 'ref'
  reference_vector = 'ref'
  maximum_lagrangian_update_iterations = 100
[]

[Contact]
  [./leftright]
    secondary = 3
    primary = 2
    model = coulomb
    penalty = 1e+7
    friction_coefficient = 0.2
    formulation = augmented_lagrange
    normalize_penalty = true
    al_penetration_tolerance = 1e-6
    al_incremental_slip_tolerance = 1.0e-2
    al_frictional_force_tolerance =  1e-3
  [../]
[]

[Preconditioning]
  [./SMP]
    type = SMP
    full = true
  [../]
[]

(modules/solid_mechanics/test/tests/crystal_plasticity/user_object_based/test.i)

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]

[Mesh]
  type = GeneratedMesh
  dim = 3
  elem_type = HEX8
[]

[AuxVariables]
  [./pk2]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./fp_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./e_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./gss]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./slip_increment]
   order = CONSTANT
   family = MONOMIAL
  [../]
[]

[Physics/SolidMechanics/QuasiStatic/all]
  strain = FINITE
  add_variables = true
  generate_output = stress_zz
[]

[AuxKernels]
  [./pk2]
   type = RankTwoAux
   variable = pk2
   rank_two_tensor = pk2
   index_j = 2
   index_i = 2
   execute_on = timestep_end
  [../]
  [./fp_zz]
    type = RankTwoAux
    variable = fp_zz
    rank_two_tensor = fp
    index_j = 2
    index_i = 2
    execute_on = timestep_end
  [../]
  [./e_zz]
    type = RankTwoAux
    variable = e_zz
    rank_two_tensor = lage
    index_j = 2
    index_i = 2
    execute_on = timestep_end
  [../]
  [./slip_inc]
   type = MaterialStdVectorAux
   variable = slip_increment
   property = slip_rate_gss
   index = 0
   execute_on = timestep_end
  [../]
  [./gss]
    type = MaterialStdVectorAux
    variable = gss
    property = state_var_gss
    index = 0
    execute_on = timestep_end
  [../]
[]

[BCs]
  [./symmy]
    type = DirichletBC
    variable = disp_y
    boundary = bottom
    value = 0
  [../]
  [./symmx]
    type = DirichletBC
    variable = disp_x
    boundary = left
    value = 0
  [../]
  [./symmz]
    type = DirichletBC
    variable = disp_z
    boundary = back
    value = 0
  [../]
  [./tdisp]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = front
    function = '0.01*t'
  [../]
[]

[UserObjects]
  [./slip_rate_gss]
    type = CrystalPlasticitySlipRateGSS
    variable_size = 12
    slip_sys_file_name = input_slip_sys.txt
    num_slip_sys_flowrate_props = 2
    flowprops = '1 4 0.001 0.1 5 8 0.001 0.1 9 12 0.001 0.1'
    uo_state_var_name = state_var_gss
  [../]
  [./slip_resistance_gss]
    type = CrystalPlasticitySlipResistanceGSS
    variable_size = 12
    uo_state_var_name = state_var_gss
  [../]
  [./state_var_gss]
    type = CrystalPlasticityStateVariable
    variable_size = 12
    groups = '0 4 8 12'
    group_values = '60.8 60.8 60.8'
    uo_state_var_evol_rate_comp_name = state_var_evol_rate_comp_gss
    scale_factor = 1.0
  [../]
  [./state_var_evol_rate_comp_gss]
    type = CrystalPlasticityStateVarRateComponentGSS
    variable_size = 12
    hprops = '1.0 541.5 109.8 2.5'
    uo_slip_rate_name = slip_rate_gss
    uo_state_var_name = state_var_gss
  [../]
[]

[Materials]
  [./crysp]
    type = FiniteStrainUObasedCP
    stol = 1e-2
    tan_mod_type = exact
    uo_slip_rates = 'slip_rate_gss'
    uo_slip_resistances = 'slip_resistance_gss'
    uo_state_vars = 'state_var_gss'
    uo_state_var_evol_rate_comps = 'state_var_evol_rate_comp_gss'
  [../]
  [./elasticity_tensor]
    type = ComputeElasticityTensorCP
    C_ijkl = '1.684e5 1.214e5 1.214e5 1.684e5 1.214e5 1.684e5 0.754e5 0.754e5 0.754e5'
    fill_method = symmetric9
  [../]
[]

[Postprocessors]
  [./stress_zz]
    type = ElementAverageValue
    variable = stress_zz
  [../]
  [./pk2]
   type = ElementAverageValue
   variable = pk2
  [../]
  [./fp_zz]
    type = ElementAverageValue
    variable = fp_zz
  [../]
  [./e_zz]
    type = ElementAverageValue
    variable = e_zz
  [../]
  [./gss]
    type = ElementAverageValue
    variable = gss
  [../]
  [./slip_increment]
   type = ElementAverageValue
   variable = slip_increment
  [../]
[]

[Preconditioning]
  [./smp]
    type = SMP
    full = true
  [../]
[]

[Executioner]
  type = Transient
  dt = 0.05
  solve_type = 'PJFNK'

  petsc_options_iname = -pc_hypre_type
  petsc_options_value = boomerang
  nl_abs_tol = 1e-10
  nl_rel_step_tol = 1e-10
  dtmax = 10.0
  nl_rel_tol = 1e-10
  dtmin = 0.05
  num_steps = 10
  nl_abs_step_tol = 1e-10
[]

[Outputs]
  exodus = true
[]

(modules/solid_mechanics/test/tests/notched_plastic_block/biaxial_planar.i)

# Uses non-smoothed Mohr-Coulomb (via ComputeMultiPlasticityStress and SolidMechanicsPlasticMohrCoulombMulti) to simulate the following problem.
# A cubical block is notched around its equator.
# All of its outer surfaces have roller BCs, but the notched region is free to move as needed
# The block is initialised with a high hydrostatic tensile stress
# Without the notch, the BCs do not allow contraction of the block, and this stress configuration is admissible
# With the notch, however, the interior parts of the block are free to move in order to relieve stress, and this causes plastic failure
# The top surface is then pulled upwards (the bottom is fixed because of the roller BCs)
# This causes more failure
[Mesh]
  [generated_mesh]
    type = GeneratedMeshGenerator
    dim = 3
    nx = 9
    ny = 9
    nz = 9
    xmin = 0
    xmax = 0.1
    ymin = 0
    ymax = 0.1
    zmin = 0
    zmax = 0.1
  []
  [block_to_remove_xmin]
    type = SubdomainBoundingBoxGenerator
    bottom_left = '-0.01 -0.01 0.045'
    top_right = '0.01 0.11 0.055'
    location = INSIDE
    block_id = 1
    input = generated_mesh
  []
  [block_to_remove_xmax]
    type = SubdomainBoundingBoxGenerator
    bottom_left = '0.09 -0.01 0.045'
    top_right = '0.11 0.11 0.055'
    location = INSIDE
    block_id = 1
    input = block_to_remove_xmin
  []
  [block_to_remove_ymin]
    type = SubdomainBoundingBoxGenerator
    bottom_left = '-0.01 -0.01 0.045'
    top_right = '0.11 0.01 0.055'
    location = INSIDE
    block_id = 1
    input = block_to_remove_xmax
  []
  [block_to_remove_ymax]
    type = SubdomainBoundingBoxGenerator
    bottom_left = '-0.01 0.09 0.045'
    top_right = '0.11 0.11 0.055'
    location = INSIDE
    block_id = 1
    input = block_to_remove_ymin
  []
  [remove_block]
    type = BlockDeletionGenerator
    block = 1
    input = block_to_remove_ymax
  []
[]

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]

[Physics/SolidMechanics/QuasiStatic]
  [all]
    add_variables = true
    incremental = true
    generate_output = 'max_principal_stress mid_principal_stress min_principal_stress stress_zz'
    eigenstrain_names = ini_stress
  []
[]

[Postprocessors]
  [uz]
    type = PointValue
    point = '0 0 0.1'
    use_displaced_mesh = false
    variable = disp_z
  []
  [s_zz]
    type = ElementAverageValue
    use_displaced_mesh = false
    variable = stress_zz
  []
  [num_res]
    type = NumResidualEvaluations
  []
  [nr_its]
    type = ElementAverageValue
    variable = num_iters
  []
  [max_nr_its]
    type = ElementExtremeValue
    variable = num_iters
  []
  [runtime]
    type = PerfGraphData
    data_type = TOTAL
    section_name = 'Root'
  []
[]

[BCs]
  # back=zmin, front=zmax, bottom=ymin, top=ymax, left=xmin, right=xmax
  [xmin_xzero]
    type = DirichletBC
    variable = disp_x
    boundary = left
    value = 0.0
  []
  [xmax_xzero]
    type = DirichletBC
    variable = disp_x
    boundary = right
    value = 0.0
  []
  [ymin_yzero]
    type = DirichletBC
    variable = disp_y
    boundary = bottom
    value = 0.0
  []
  [ymax_yzero]
    type = DirichletBC
    variable = disp_y
    boundary = top
    value = 0.0
  []
  [zmin_zzero]
    type = DirichletBC
    variable = disp_z
    boundary = back
    value = '0'
  []
  [zmax_disp]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = front
    function = '1E-6*max(t,0)'
  []
[]

[AuxVariables]
  [mc_int]
    order = CONSTANT
    family = MONOMIAL
  []
  [plastic_strain]
    order = CONSTANT
    family = MONOMIAL
  []
  [num_iters]
    order = CONSTANT
    family = MONOMIAL
  []
  [yield_fcn]
    order = CONSTANT
    family = MONOMIAL
  []
[]

[AuxKernels]
  [mc_int_auxk]
    type = MaterialStdVectorAux
    index = 0
    property = plastic_internal_parameter
    variable = mc_int
  []
  [plastic_strain_aux]
    type = MaterialRankTwoTensorAux
    i = 2
    j = 2
    property = plastic_strain
    variable = plastic_strain
  []
  [num_iters_auxk] # cannot use plastic_NR_iterations directly as this is zero, since no NR iterations are actually used, since we use a custom algorithm to do the return
    type = ParsedAux
    coupled_variables = plastic_strain
    expression = 'if(plastic_strain>0,1,0)'
    variable = num_iters
  []
  [yield_fcn_auxk]
    type = MaterialStdVectorAux
    index = 0
    property = plastic_yield_function
    variable = yield_fcn
  []
[]

[UserObjects]
  [mc_coh]
    type = SolidMechanicsHardeningConstant
    value = 5E6
  []
  [mc_phi]
    type = SolidMechanicsHardeningConstant
    value = 35
    convert_to_radians = true
  []
  [mc_psi]
    type = SolidMechanicsHardeningConstant
    value = 10
    convert_to_radians = true
  []
  [mc]
    type = SolidMechanicsPlasticMohrCoulombMulti
    cohesion = mc_coh
    friction_angle = mc_phi
    dilation_angle = mc_psi
    yield_function_tolerance = 1E-5
    internal_constraint_tolerance = 1E-11
  []
[]

[Materials]
  [elasticity_tensor]
    type = ComputeIsotropicElasticityTensor
    youngs_modulus = 16E9
    poissons_ratio = 0.25
  []
  [mc]
    type = ComputeMultiPlasticityStress
    ep_plastic_tolerance = 1E-11
    plastic_models = mc
    max_NR_iterations = 1000
    debug_fspb = crash
  []
  [strain_from_initial_stress]
    type = ComputeEigenstrainFromInitialStress
    initial_stress = '6E6 0 0  0 6E6 0  0 0 6E6'
    eigenstrain_name = ini_stress
  []
[]

[Preconditioning]
  [andy]
    type = SMP
    full = true
  []
[]

[Executioner]
  start_time = -1
  end_time = 10
  dt = 1
  dtmin = 1
  solve_type = NEWTON
  type = Transient

  l_tol = 1E-2
  nl_abs_tol = 1E-5
  nl_rel_tol = 1E-7
  l_max_its = 200
  nl_max_its = 400

  petsc_options_iname = '-pc_type -pc_asm_overlap -sub_pc_type -ksp_type -ksp_gmres_restart'
  petsc_options_value = ' asm      2              lu            gmres     200'
[]


[Outputs]
  perf_graph = true
  csv = true
[]

(modules/navier_stokes/test/tests/finite_element/ins/lid_driven/transient_fsp.i)

n=64
mu=2e-3

[GlobalParams]
  gravity = '0 0 0'
  preset = true
  supg = false
[]

[Problem]
  extra_tag_matrices = 'mass'
  previous_nl_solution_required = true
  type = NavierStokesProblem
  mass_matrix = 'mass'
  schur_fs_index = '1'
[]

[Mesh]
  [gen]
    type = GeneratedMeshGenerator
    dim = 2
    xmin = 0
    xmax = 1.0
    ymin = 0
    ymax = 1.0
    nx = ${n}
    ny = ${n}
    elem_type = QUAD9
  []
[]

[Variables]
  [vel_x]
    order = SECOND
    family = LAGRANGE
  []
  [vel_y]
    order = SECOND
    family = LAGRANGE
  []
  [p]
    order = FIRST
    family = LAGRANGE
  []
[]

[Kernels]
  # mass
  [mass]
    type = INSMass
    variable = p
    u = vel_x
    v = vel_y
    pressure = p
  []

  [x_time]
    type = INSMomentumTimeDerivative
    variable = vel_x
  []
  [x_momentum_space]
    type = INSMomentumLaplaceForm
    variable = vel_x
    u = vel_x
    v = vel_y
    pressure = p
    component = 0
  []
  [x_mass]
    type = MassMatrix
    variable = vel_x
    matrix_tags = 'mass'
  []

  [y_time]
    type = INSMomentumTimeDerivative
    variable = vel_y
  []
  [y_momentum_space]
    type = INSMomentumLaplaceForm
    variable = vel_y
    u = vel_x
    v = vel_y
    pressure = p
    component = 1
  []
  [y_mass]
    type = MassMatrix
    variable = vel_y
    matrix_tags = 'mass'
  []
[]

[BCs]
  [x_no_slip]
    type = DirichletBC
    variable = vel_x
    boundary = 'bottom right left'
    value = 0.0
  []
  [lid]
    type = FunctionDirichletBC
    variable = vel_x
    boundary = 'top'
    function = 'lid_function'
  []
  [y_no_slip]
    type = DirichletBC
    variable = vel_y
    boundary = 'bottom right top left'
    value = 0.0
  []
[]

[Materials]
  [const]
    type = GenericConstantMaterial
    block = 0
    prop_names = 'rho mu'
    prop_values = '1  ${mu}'
  []
[]

[Functions]
  [lid_function]
    # We pick a function that is exactly represented in the velocity
    # space so that the Dirichlet conditions are the same regardless
    # of the mesh spacing.
    type = ParsedFunction
    expression = '4*x*(1-x)'
  []
[]

[Preconditioning]
  [FSP]
    type = FSP
    topsplit = 'by_diri_others'
    [by_diri_others]
      splitting = 'diri others'
      splitting_type  = additive
      petsc_options_iname = '-ksp_type'
      petsc_options_value = 'preonly'
    []
      [diri]
        sides = 'left right top bottom'
        vars = 'vel_x vel_y'
        petsc_options_iname = '-pc_type'
        petsc_options_value = 'jacobi'
      []
      [others]
        splitting = 'u p'
        splitting_type  = schur
        petsc_options_iname = '-pc_fieldsplit_schur_fact_type  -pc_fieldsplit_schur_precondition -ksp_gmres_restart -ksp_rtol -ksp_type -ksp_atol'
        petsc_options_value = 'full                            self                              300                1e-5      fgmres    1e-9'
        unside_by_var_boundary_name = 'left top right bottom left top right bottom'
        unside_by_var_var_name = 'vel_x vel_x vel_x vel_x vel_y vel_y vel_y vel_y'
      []
        [u]
          vars = 'vel_x vel_y'
          unside_by_var_boundary_name = 'left top right bottom left top right bottom'
          unside_by_var_var_name = 'vel_x vel_x vel_x vel_x vel_y vel_y vel_y vel_y'
          # petsc_options = '-ksp_converged_reason'
          petsc_options_iname = '-pc_type -ksp_pc_side -ksp_type -ksp_rtol -pc_hypre_type -ksp_gmres_restart'
          petsc_options_value = 'hypre    right        gmres     1e-2      boomeramg      300'
        []
        [p]
          vars = 'p'
          petsc_options = '-pc_lsc_scale_diag -ksp_converged_reason'# -lsc_ksp_converged_reason -lsc_ksp_monitor_true_residual
          petsc_options_iname = '-ksp_type -ksp_gmres_restart -ksp_rtol -pc_type -ksp_pc_side -lsc_pc_type -lsc_pc_hypre_type -lsc_ksp_type -lsc_ksp_rtol -lsc_ksp_pc_side -lsc_ksp_gmres_restart'
          petsc_options_value = 'fgmres    300                1e-2      lsc      right        hypre        boomeramg          gmres         1e-1          right            300'
        []
  []
[]

[Postprocessors]
  [pavg]
    type = ElementAverageValue
    variable = p
  []
[]

[Correctors]
  [set_pressure]
    type = NSPressurePin
    pin_type = 'average'
    variable = p
    pressure_average = 'pavg'
  []
[]

[Executioner]
  solve_type = NEWTON
  type = Transient
  petsc_options_iname = '-snes_max_it'
  petsc_options_value = '100'
  line_search = 'none'
  nl_rel_tol = 1e-8
  nl_abs_tol = 1e-9
  abort_on_solve_fail = true
  normalize_solution_diff_norm_by_dt = false
  [TimeStepper]
    type = IterationAdaptiveDT
    optimal_iterations = 6
    dt = 1e-2
  []
  steady_state_detection = true
[]

[Outputs]
  [exo]
    type = Exodus
    execute_on = 'final'
    hide = 'pavg'
  []
[]

(modules/contact/test/tests/pdass_problems/cylinder_friction_penalty_frictional_al_action_amg_bussetta_simple.i)

[GlobalParams]
  volumetric_locking_correction = true
  displacements = 'disp_x disp_y'
[]

[Mesh]
  [input_file]
    type = FileMeshGenerator
    file = cond_number.e
  []
  allow_renumbering = false
[]

[Problem]
  type = AugmentedLagrangianContactFEProblem
  extra_tag_vectors = 'ref'
  maximum_lagrangian_update_iterations = 1000
[]

[AuxVariables]
  [penalty_normal_pressure]
  []
  [penalty_frictional_pressure]
  []
  [accumulated_slip_one]
  []
  [tangential_vel_one]
  []
  [normal_gap]
  []
  [normal_lm]
  []
  [saved_x]
  []
  [saved_y]
  []
  [active]
  []
[]

[Functions]
  [disp_ramp_vert]
    type = PiecewiseLinear
    x = '0. 1. 3.5'
    y = '0. -0.020 -0.020'
  []
  [disp_ramp_horz]
    type = PiecewiseLinear
    x = '0. 1. 3.5'
    y = '0. 0.0 0.015'
  []
[]

[Physics/SolidMechanics/QuasiStatic/all]
  strain = FINITE
  add_variables = true
  save_in = 'saved_x saved_y'
  extra_vector_tags = 'ref'
  block = '1 2 3 4 5 6 7'
  generate_output = 'stress_xx stress_yy stress_xy'
[]

[AuxKernels]
  [penalty_normal_pressure]
    type = PenaltyMortarUserObjectAux
    variable = penalty_normal_pressure
    user_object = penalty_friction_object_al_friction
    contact_quantity = normal_pressure
    boundary = 3
  []
  [penalty_frictional_pressure]
    type = PenaltyMortarUserObjectAux
    variable = penalty_frictional_pressure
    user_object = penalty_friction_object_al_friction
    contact_quantity = tangential_pressure_one
    boundary = 3
  []
  [penalty_tangential_vel_one]
    type = PenaltyMortarUserObjectAux
    variable = tangential_vel_one
    user_object = penalty_friction_object_al_friction
    contact_quantity = tangential_velocity_one
    boundary = 3
  []
  [penalty_accumulated_slip_one]
    type = PenaltyMortarUserObjectAux
    variable = accumulated_slip_one
    user_object = penalty_friction_object_al_friction
    contact_quantity = accumulated_slip_one
    boundary = 3
  []
  [normal_lm]
    type = PenaltyMortarUserObjectAux
    variable = normal_lm
    user_object = penalty_friction_object_al_friction
    contact_quantity = normal_lm
    boundary = 3
  []
  [normal_gap]
    type = PenaltyMortarUserObjectAux
    variable = normal_gap
    user_object = penalty_friction_object_al_friction
    contact_quantity = normal_gap
    boundary = 3
  []
[]

[Postprocessors]
  [bot_react_x]
    type = NodalSum
    variable = saved_x
    boundary = 1
  []
  [bot_react_y]
    type = NodalSum
    variable = saved_y
    boundary = 1
  []
  [top_react_x]
    type = NodalSum
    variable = saved_x
    boundary = 4
  []
  [top_react_y]
    type = NodalSum
    variable = saved_y
    boundary = 4
  []
  [_dt]
    type = TimestepSize
  []
  [num_lin_it]
    type = NumLinearIterations
  []
  [num_nonlin_it]
    type = NumNonlinearIterations
  []
  [cumulative]
    type = CumulativeValuePostprocessor
    postprocessor = num_nonlin_it
  []
  [gap]
    type = SideExtremeValue
    value_type = min
    variable = normal_gap
    boundary = 3
  []
  [num_al]
    type = NumAugmentedLagrangeIterations
  []
  [active_set_size]
    type = NodalSum
    variable = active
  []
[]

[BCs]
  [side_x]
    type = DirichletBC
    variable = disp_y
    boundary = '1 2'
    value = 0.0
  []
  [bot_y]
    type = DirichletBC
    variable = disp_x
    boundary = '1 2'
    value = 0.0
  []
  [top_y_disp]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 4
    function = disp_ramp_vert
  []
  [top_x_disp]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 4
    function = disp_ramp_horz
  []
[]

[Materials]
  [stuff1_elas_tens]
    type = ComputeIsotropicElasticityTensor
    block = '1'
    youngs_modulus = 1e8
    poissons_ratio = 0.0
  []
  [stuff1_stress]
    type = ComputeFiniteStrainElasticStress
    block = '1'
  []
  [stuff2_elas_tens]
    type = ComputeIsotropicElasticityTensor
    block = '2 3 4 5 6 7'
    youngs_modulus = 1e6
    poissons_ratio = 0.3
  []
  [stuff2_stress]
    type = ComputeFiniteStrainElasticStress
    block = '2 3 4 5 6 7'
  []
[]

[Executioner]
  type = Transient
  solve_type = 'NEWTON'

  petsc_options = '-ksp_snes_ew'
  petsc_options_iname = '-ksp_gmres_restart -pc_type -pc_hypre_type -pc_hypre_boomeramg_max_iter'
  petsc_options_value = ' 201                hypre    boomeramg      8'

  line_search = 'none'

  nl_abs_tol = 1e-10
  nl_rel_tol = 1e-8
  nl_max_its = 50
  l_tol = 1e-05
  l_abs_tol = 1e-13

  start_time = 0.0
  end_time = 0.1 # 1.0
  dt = 0.1
  dtmin = 0.1

  [Predictor]
    type = SimplePredictor
    scale = 1.0
  []

  automatic_scaling = true
  compute_scaling_once = false
  off_diagonals_in_auto_scaling = true
[]

[Preconditioning]
  [SMP]
    type = SMP
    full = true
  []
[]

[VectorPostprocessors]
  [surface]
    type = NodalValueSampler
    use_displaced_mesh = false
    variable = 'disp_x disp_y penalty_normal_pressure penalty_frictional_pressure normal_gap'
    boundary = '3'
    sort_by = id
  []
[]

[Outputs]
  print_linear_residuals = true
  perf_graph = true
  exodus = true
  csv = false
  [vectorpp_output]
    type = CSV
    create_final_symlink = true
    execute_on = 'INITIAL TIMESTEP_END FINAL'
  []
[]

[Contact]
  [al_friction]
    formulation = mortar_penalty
    model = coulomb
    primary = '2'
    secondary = '3'
    penalty = 1e7
    penalty_friction = 1e+7
    friction_coefficient = 0.4
    adaptivity_penalty_friction = SIMPLE
    adaptivity_penalty_normal = BUSSETTA
    al_penetration_tolerance = 1e-7
    al_incremental_slip_tolerance = 1e-5 # Not active
    penalty_multiplier = 100
    penalty_multiplier_friction = 5
  []
[]

(modules/combined/test/tests/elastic_thermal_patch/elastic_thermal_jacobian_rz_smp.i)

# This problem is intended to exercise the Jacobian for coupled RZ
# problems.  Only two iterations should be needed.

[GlobalParams]
  temperature = temp
  volumetric_locking_correction = true
[]

[Problem]
  coord_type = RZ
[]

[Mesh]
  file = elastic_thermal_patch_rz_test.e
[]

[Functions]
  [./ur]
    type = ParsedFunction
    expression = '0'
  [../]
  [./uz]
    type = ParsedFunction
    expression = '0'
  [../]
  [./body]
    type = ParsedFunction
    expression = '-400/x'
  [../]
  [./temp]
    type = ParsedFunction
    expression = '117.56+100*t'
  [../]
[]

[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]

  [./temp]
    initial_condition = 117.56
  [../]
[]

[Physics]
    [SolidMechanics]
        [QuasiStatic]
            displacements = 'disp_x disp_y'
            [All]
                displacements = 'disp_x disp_y'
                add_variables = true
                strain = SMALL
                incremental = true
                eigenstrain_names = eigenstrain
                generate_output = 'stress_xx stress_yy stress_zz stress_xy stress_yz stress_zx'
            [../]
        [../]
    [../]
[]

[Kernels]
  [./heat]
    type = HeatConduction
    variable = temp
  [../]
[]

[BCs]
  [./ur]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 1
    function = ur
  [../]
  [./uz]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 2
    function = uz
  [../]

  [./temp]
    type = FunctionDirichletBC
    variable = temp
    boundary = 10
    function = temp
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeIsotropicElasticityTensor
    youngs_modulus = 1e6
    poissons_ratio = 0.25
  [../]
  [./thermal_strain]
    type = ComputeThermalExpansionEigenstrain
    stress_free_temperature = 117.56
    thermal_expansion_coeff = 1e-6
    eigenstrain_name = eigenstrain
  [../]
  [./stress]
    type = ComputeStrainIncrementBasedStress
  [../]

  [./heat]
    type = HeatConductionMaterial
    specific_heat = 0.116
    thermal_conductivity = 4.85e-4
  [../]

  [./density]
    type = Density
    density = 0.283
  [../]
[]

[Preconditioning]
  [./SMP]
    type = SMP
    full = true
  [../]
[]

[Executioner]
  type = Transient
  solve_type = 'PJFNK'

  nl_abs_tol = 1e-9
  nl_rel_tol = 1e-12

  l_max_its = 20

  start_time = 0.0
  dt = 1.0
  num_steps = 1
  end_time = 1.0
[]

[Outputs]
  file_base = elastic_thermal_jacobian_rz_smp_out
  [./exodus]
    type = Exodus
    execute_on = 'initial timestep_end nonlinear'
    nonlinear_residual_dt_divisor = 100
  [../]
[]

(test/tests/auxscalarkernels/aux_scalar_deps/aux_scalar_deps.i)

#
# Testing a solution that is second order in space and first order in time
#

[Mesh]
  type = GeneratedMesh
  dim = 2
  xmin = 0
  xmax = 1
  ymin = 0
  ymax = 1
  nx = 10
  ny = 10
  elem_type = QUAD4
[]

[AuxVariables]
  [./a]
    family = SCALAR
    order = FIRST
  [../]
  [./b]
    family = SCALAR
    order = FIRST
  [../]
  [./c]
    family = SCALAR
    order = FIRST
  [../]
[]

[Variables]
  [./u]
    order = FIRST
    family = LAGRANGE
  [../]
[]

[ICs]
  [./a_ic]
    type = ScalarConstantIC
    variable = a
    value = 0
  [../]
  [./b_ic]
    type = ScalarConstantIC
    variable = b
    value = 2
  [../]
[]

[Functions]
  [./exact_fn]
    type = ParsedFunction
    expression = t
  [../]

  [./a_fn]
    type = ParsedFunction
    expression = t
  [../]
  [./b_fn]
    type = ParsedFunction
    expression = (4-t)/2
  [../]
[]

# NOTE: The execute_on = 'timestep_end' is crucial for this test. Without it
# the aux values would be updated during the residual formation and we would
# end up with the right value at the end of the time step. With this flag on,
# the dependencies has to be correct for this test to work. Otherwise the
# values of 'c' will be lagged.

[AuxScalarKernels]
  [./c_saux]
    type = QuotientScalarAux
    variable = c
    numerator = a
    denominator = b
    execute_on = 'timestep_end'
  [../]
  [./a_saux]
    type = FunctionScalarAux
    variable = a
    function = a_fn
    execute_on = 'timestep_end'
  [../]
  [./b_saux]
    type = FunctionScalarAux
    variable = b
    function = b_fn
    execute_on = 'timestep_end'
  [../]
[]

[Kernels]
  [./ie]
    type = TimeDerivative
    variable = u
  [../]

  [./diff]
    type = Diffusion
    variable = u
  [../]
[]

[BCs]
  [./all]
    type = FunctionDirichletBC
    variable = u
    boundary = '0 1 2 3'
    function = exact_fn
  [../]
[]

[Executioner]
  type = Transient
  scheme = 'implicit-euler'

  solve_type = 'PJFNK'
  start_time = 0.0
  num_steps = 2
  dt = 1
[]

[Outputs]
  exodus = true
[]

(modules/solid_mechanics/test/tests/lagrangian/cartesian/total/rates/shear.i)

# shear modulus
G = 5000

[Mesh]
  [msh]
    type = GeneratedMeshGenerator
    dim = 3
    nx = 1
    ny = 1
    nz = 1
  []
[]

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
  large_kinematics = true
[]

[Variables]
  [disp_x]
  []
  [disp_y]
  []
  [disp_z]
  []
[]

[Kernels]
  [sdx]
    type = TotalLagrangianStressDivergence
    variable = disp_x
    component = 0
  []
  [sdy]
    type = TotalLagrangianStressDivergence
    variable = disp_y
    component = 1
  []
  [sdz]
    type = TotalLagrangianStressDivergence
    variable = disp_z
    component = 2
  []
[]

[AuxVariables]
  [stress_xx]
    order = CONSTANT
    family = MONOMIAL
    [AuxKernel]
      type = RankTwoAux
      rank_two_tensor = cauchy_stress
      index_i = 0
      index_j = 0
      execute_on = 'INITIAL TIMESTEP_END'
    []
  []
  [stress_yy]
    order = CONSTANT
    family = MONOMIAL
    [AuxKernel]
      type = RankTwoAux
      rank_two_tensor = cauchy_stress
      index_i = 1
      index_j = 1
      execute_on = 'INITIAL TIMESTEP_END'
    []
  []
  [stress_xy]
    order = CONSTANT
    family = MONOMIAL
    [AuxKernel]
      type = RankTwoAux
      rank_two_tensor = cauchy_stress
      index_i = 0
      index_j = 1
      execute_on = 'INITIAL TIMESTEP_END'
    []
  []
[]

[BCs]
  [x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'top bottom' # This contains all 8 nodes in the patch
    function = 't*y'
  []
  [y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'top bottom' # This contains all 8 nodes in the patch
    function = '0'
  []
  [z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'top bottom' # This contains all 8 nodes in the patch
    function = '0'
  []
[]

[Materials]
  [elastic_tensor]
    type = ComputeIsotropicElasticityTensor
    lambda = ${G}
    shear_modulus = ${G}
  []
  [compute_stress]
    type = ComputeLagrangianLinearElasticStress
  []
  [compute_strain]
    type = ComputeLagrangianStrain
  []
[]

[Postprocessors]
  [sxx]
    type = ElementAverageValue
    variable = stress_xx
    execute_on = 'INITIAL TIMESTEP_BEGIN'
    outputs = none
  []
  [sxx0]
    type = ParsedPostprocessor
    pp_names = 'sxx'
    expression = 'sxx/${G}'
    execute_on = 'INITIAL TIMESTEP_BEGIN'
  []
  [syy]
    type = ElementAverageValue
    variable = stress_yy
    execute_on = 'INITIAL TIMESTEP_BEGIN'
    outputs = none
  []
  [syy0]
    type = ParsedPostprocessor
    pp_names = 'syy'
    expression = 'syy/${G}'
    execute_on = 'INITIAL TIMESTEP_BEGIN'
  []
  [sxy]
    type = ElementAverageValue
    variable = stress_xy
    execute_on = 'INITIAL TIMESTEP_BEGIN'
    outputs = none
  []
  [sxy0]
    type = ParsedPostprocessor
    pp_names = 'sxy'
    expression = 'sxy/${G}'
    execute_on = 'INITIAL TIMESTEP_BEGIN'
  []
[]

[Executioner]
  type = Transient
  dt = 0.05

  solve_type = NEWTON

  petsc_options_iname = -pc_type
  petsc_options_value = lu

  nl_abs_tol = 1e-10
  nl_rel_tol = 1e-10

  end_time = 20
[]

[Outputs]
  csv = true
[]

(modules/combined/test/tests/ad_cavity_pressure/additional_volume.i)

#
# Cavity Pressure Test using using automatic differentiation
#
# This test is designed to compute an internal pressure based on
# p = n * R * / (V_cavity / T_cavity + V_add / T_add)
# where
#  p is the pressure
#  n is the amount of material in the volume (moles)
#  R is the universal gas constant
#  T_cavity is the temperature in the cavity
#  T_add is the temperature of the additional volume
#
# The mesh is composed of one block (1) with an interior cavity of volume 8.
#   Block 2 sits in the cavity and has a volume of 1.  Thus, the total
#   initial volume is 7. An additional volume of 2 is added.
#
# The test adjusts n, T, and V in the following way:
#   n => n0 + alpha * t
#   T => T0 + beta * t
#   V => V_cavity0 + gamma * t + V_add
# with
#   alpha = n0
#   beta = T0 / 2
#   gamma = -(0.003322259...) * V0
#   T0 = 240.54443866068704
#   V_cavity0 = 7
#   V_add = 2
#   T_add = 100
#   n0 = f(p0)
#   p0 = 100
#   R = 8.314472 J * K^(-1) * mol^(-1)
#
#  An additional volume of 2 with a temperature of 100.0 is included.
#
# So, n0 = p0 * (V_cavity / T_cavity + V_add / T_add) / R
#        = 100 * (7 / 240.544439 + 2 / 100) / 8.314472
#        = 0.59054
#
# The parameters combined at t = 1 gives p = 249.647.
#
# This test sets the initial temperature to 500, but the CavityPressure
#   is told that that initial temperature is T0.  Thus, the final solution
#   is unchanged.

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]

[Mesh]
  file = 3d.e
[]

[GlobalParams]
  volumetric_locking_correction = true
[]

[Functions]
  [displ_positive]
    type = PiecewiseLinear
    x = '0 1'
    y = '0 0.0029069767441859684'
  []
  [displ_negative]
    type = PiecewiseLinear
    x = '0 1'
    y = '0 -0.0029069767441859684'
  []
  [temp1]
    type = PiecewiseLinear
    x = '0 1'
    y = '1 1.5'
    scale_factor = 240.54443866068704
  []
  [material_input_function]
    type = PiecewiseLinear
    x = '0    1'
    y = '0 0.59054'
  []
  [additional_volume]
    type = ConstantFunction
    value = 2
  []
  [temperature_of_additional_volume]
    type = ConstantFunction
    value = 100
  []
[]

[Variables]
  [disp_x]
  []
  [disp_y]
  []
  [disp_z]
  []
  [temp]
    initial_condition = 500
  []
  [material_input]
  []
[]

[AuxVariables]
  [pressure_residual_x]
  []
  [pressure_residual_y]
  []
  [pressure_residual_z]
  []
  [stress_xx]
    order = CONSTANT
    family = MONOMIAL
  []
  [stress_yy]
    order = CONSTANT
    family = MONOMIAL
  []
  [stress_zz]
    order = CONSTANT
    family = MONOMIAL
  []
  [stress_xy]
    order = CONSTANT
    family = MONOMIAL
  []
  [stress_yz]
    order = CONSTANT
    family = MONOMIAL
  []
  [stress_zx]
    order = CONSTANT
    family = MONOMIAL
  []
[]

[Kernels]
  [TensorMechanics]
    use_displaced_mesh = true
    use_automatic_differentiation = true
  []
  [heat]
    type = ADDiffusion
    variable = temp
    use_displaced_mesh = true
  []
  [material_input_dummy]
    type = ADDiffusion
    variable = material_input
    use_displaced_mesh = true
  []
[]

[AuxKernels]
  [stress_xx]
    type = ADRankTwoAux
    rank_two_tensor = stress
    index_i = 0
    index_j = 0
    variable = stress_xx
  []
  [stress_yy]
    type = ADRankTwoAux
    rank_two_tensor = stress
    index_i = 1
    index_j = 1
    variable = stress_yy
  []
  [stress_zz]
    type = ADRankTwoAux
    rank_two_tensor = stress
    index_i = 2
    index_j = 2
    variable = stress_zz
  []
  [stress_xy]
    type = ADRankTwoAux
    rank_two_tensor = stress
    index_i = 0
    index_j = 1
    variable = stress_xy
  []
  [stress_yz]
    type = ADRankTwoAux
    rank_two_tensor = stress
    index_i = 1
    index_j = 2
    variable = stress_yz
  []
  [stress_zx]
    type = ADRankTwoAux
    rank_two_tensor = stress
    index_i = 2
    index_j = 0
    variable = stress_zx
  []
[]

[BCs]
  [no_x_exterior]
    type = DirichletBC
    variable = disp_x
    boundary = '7 8'
    value = 0.0
  []
  [no_y_exterior]
    type = DirichletBC
    variable = disp_y
    boundary = '9 10'
    value = 0.0
  []
  [no_z_exterior]
    type = DirichletBC
    variable = disp_z
    boundary = '11 12'
    value = 0.0
  []
  [prescribed_left]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 13
    function = displ_positive
  []
  [prescribed_right]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 14
    function = displ_negative
  []
  [no_y]
    type = DirichletBC
    variable = disp_y
    boundary = '15 16'
    value = 0.0
  []
  [no_z]
    type = DirichletBC
    variable = disp_z
    boundary = '17 18'
    value = 0.0
  []
  [no_x_interior]
    type = DirichletBC
    variable = disp_x
    boundary = '1 2'
    value = 0.0
  []
  [no_y_interior]
    type = DirichletBC
    variable = disp_y
    boundary = '3 4'
    value = 0.0
  []
  [no_z_interior]
    type = DirichletBC
    variable = disp_z
    boundary = '5 6'
    value = 0.0
  []
  [temperatureInterior]
    type = ADFunctionDirichletBC
    boundary = 100
    function = temp1
    variable = temp
  []
  [MaterialInput]
    type = ADFunctionDirichletBC
    boundary = '100 13 14 15 16'
    function = material_input_function
    variable = material_input
  []
  [CavityPressure]
    [1]
      boundary = 100
      initial_pressure = 100
      material_input = materialInput
      R = 8.314472
      temperature = aveTempInterior
      initial_temperature = 240.54443866068704
      volume = internalVolume
      startup_time = 0.5
      output = ppress
      save_in = 'pressure_residual_x pressure_residual_y pressure_residual_z'
      additional_volumes = volume1
      temperature_of_additional_volumes = temperature1
      use_automatic_differentiation = true
    []
  []
[]

[Materials]
  [elast_tensor1]
    type = ADComputeElasticityTensor
    C_ijkl = '0 5'
    fill_method = symmetric_isotropic
    block = 1
  []
  [strain1]
    type = ADComputeFiniteStrain
    block = 1
  []
  [stress1]
    type = ADComputeFiniteStrainElasticStress
    block = 1
  []
  [elast_tensor2]
    type = ADComputeElasticityTensor
    C_ijkl = '0 5'
    fill_method = symmetric_isotropic
    block = 2
  []
  [strain2]
    type = ADComputeFiniteStrain
    block = 2
  []
  [stress2]
    type = ADComputeFiniteStrainElasticStress
    block = 2
  []
[]

[Executioner]
  type = Transient

  solve_type = 'NEWTON'

  petsc_options_iname = '-pc_type -sub_pc_type'
  petsc_options_value = 'asm       lu'

  nl_rel_tol = 1e-12
  l_tol = 1e-12

  l_max_its = 20

  dt = 0.5
  end_time = 1.0
  use_pre_SMO_residual = true
[]

[Postprocessors]
  [internalVolume]
    type = InternalVolume
    boundary = 100
    execute_on = 'initial linear'
  []
  [aveTempInterior]
    type = SideAverageValue
    boundary = 100
    variable = temp
    execute_on = 'initial linear'
  []
  [materialInput]
    type = SideAverageValue
    boundary = '7 8 9 10 11 12'
    variable = material_input
    execute_on = linear
  []
  [volume1]
    type = FunctionValuePostprocessor
    function = additional_volume
    execute_on = 'initial linear'
  []
  [temperature1]
    type = FunctionValuePostprocessor
    function = temperature_of_additional_volume
    execute_on = 'initial linear'
  []
[]

[Outputs]
  exodus = true
[]

(modules/solid_mechanics/test/tests/static_deformations/layered_cosserat_02.i)

# apply shears and Cosserat rotations and observe the stresses and moment-stresses
# with
# young = 0.7
# poisson = 0.2
# layer_thickness = 0.1
# joint_normal_stiffness = 0.25
# joint_shear_stiffness = 0.2
# then
# a0000 = 0.730681
# a0011 = 0.18267
# a2222 = 0.0244221
# a0022 = 0.006055
# a0101 = 0.291667
# a66 = 0.018717
# a77 = 0.155192
# b0110 = 0.000534
# b0101 = 0.000107
# and with
# u_x = y + 2*z
# u_y = x -1.5*z
# u_z = 1.1*x - 2.2*y
# wc_x = 0.5
# wc_y = 0.8
# then
# strain_xx = 0
# strain_xy = 1
# strain_xz = 2 - 0.8 = 1.2
# strain_yx = 1
# strain_yy = 0
# strain_yz = -1.5 + 0.5 = -1
# strain_zx = 1.1 + 0.8 = 1.9
# strain_zy = -2.2 - 0.5 = -2.7
# strain_zz = 0
# so that
# stress_xy = a0101*(1+1) = 0.583333
# stress_xz = a66*1.2 + a66*1.9 = 0.058021
# stress_yx = a0101*(1+1) = 0.583333
# stress_yz = a66*(-1) + a66*(-2.7) = -0.06925
# old stress_zx = a77*1.2 + a66*1.9 = 0.221793
# old stress_zy = a77*(-1) + a66*(-2.7) = -0.205728
# stress_zx = a66*1.2 + a77*1.9 = 0.317325
# stress_zy = a66*(-1) + a77*(-2.7) = -0.437735
# and all others zero
[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  ymax = 1
  nz = 1
[]

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
  Cosserat_rotations = 'wc_x wc_y wc_z'
[]

[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
  [./wc_x]
  [../]
  [./wc_y]
  [../]
[]

[Kernels]
  [./cx_elastic]
    type = CosseratStressDivergenceTensors
    variable = disp_x
    component = 0
  [../]
  [./cy_elastic]
    type = CosseratStressDivergenceTensors
    variable = disp_y
    component = 1
  [../]
  [./cz_elastic]
    type = CosseratStressDivergenceTensors
    variable = disp_z
    component = 2
  [../]
  [./x_couple]
    type = StressDivergenceTensors
    variable = wc_x
    displacements = 'wc_x wc_y wc_z'
    component = 0
    base_name = couple
  [../]
  [./y_couple]
    type = StressDivergenceTensors
    variable = wc_y
    displacements = 'wc_x wc_y wc_z'
    component = 1
    base_name = couple
  [../]
  [./x_moment]
    type = MomentBalancing
    variable = wc_x
    component = 0
  [../]
  [./y_moment]
    type = MomentBalancing
    variable = wc_y
    component = 1
  [../]
[]

[BCs]
  # zmin is called back
  # zmax is called front
  # ymin is called bottom
  # ymax is called top
  # xmin is called left
  # xmax is called right
  [./strain_xx]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'left right'
    function = 'y+2*z'
  [../]
  [./strain_yy]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'bottom top'
    function = 'x-1.5*z'
  [../]
  [./strain_zz]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'back front'
    function = '1.1*x-2.2*y'
  [../]
  [./wc_x]
    type = FunctionDirichletBC
    variable = wc_x
    boundary = 'left right'
    function = 0.5
  [../]
  [./wc_y]
    type = FunctionDirichletBC
    variable = wc_y
    boundary = 'left right'
    function = 0.8
  [../]
[]

[AuxVariables]
  [./wc_z]
  [../]
  [./stress_xx]
    family = MONOMIAL
    order = CONSTANT
  [../]
  [./stress_xy]
    family = MONOMIAL
    order = CONSTANT
  [../]
  [./stress_xz]
    family = MONOMIAL
    order = CONSTANT
  [../]
  [./stress_yx]
    family = MONOMIAL
    order = CONSTANT
  [../]
  [./stress_yy]
    family = MONOMIAL
    order = CONSTANT
  [../]
  [./stress_yz]
    family = MONOMIAL
    order = CONSTANT
  [../]
  [./stress_zx]
    family = MONOMIAL
    order = CONSTANT
  [../]
  [./stress_zy]
    family = MONOMIAL
    order = CONSTANT
  [../]
  [./stress_zz]
    family = MONOMIAL
    order = CONSTANT
  [../]
  [./couple_stress_xx]
    family = MONOMIAL
    order = CONSTANT
  [../]
  [./couple_stress_xy]
    family = MONOMIAL
    order = CONSTANT
  [../]
  [./couple_stress_xz]
    family = MONOMIAL
    order = CONSTANT
  [../]
  [./couple_stress_yx]
    family = MONOMIAL
    order = CONSTANT
  [../]
  [./couple_stress_yy]
    family = MONOMIAL
    order = CONSTANT
  [../]
  [./couple_stress_yz]
    family = MONOMIAL
    order = CONSTANT
  [../]
  [./couple_stress_zx]
    family = MONOMIAL
    order = CONSTANT
  [../]
  [./couple_stress_zy]
    family = MONOMIAL
    order = CONSTANT
  [../]
  [./couple_stress_zz]
    family = MONOMIAL
    order = CONSTANT
  [../]
[]

[AuxKernels]
  [./stress_xx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xx
    index_i = 0
    index_j = 0
  [../]
  [./stress_xy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xy
    index_i = 0
    index_j = 1
  [../]
  [./stress_xz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xz
    index_i = 0
    index_j = 2
  [../]
  [./stress_yx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yx
    index_i = 1
    index_j = 0
  [../]
  [./stress_yy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yy
    index_i = 1
    index_j = 1
  [../]
  [./stress_yz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yz
    index_i = 1
    index_j = 2
  [../]
  [./stress_zx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zx
    index_i = 2
    index_j = 0
  [../]
  [./stress_zy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zy
    index_i = 2
    index_j = 1
  [../]
  [./stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zz
    index_i = 2
    index_j = 2
  [../]
  [./couple_stress_xx]
    type = RankTwoAux
    rank_two_tensor = couple_stress
    variable = couple_stress_xx
    index_i = 0
    index_j = 0
  [../]
  [./couple_stress_xy]
    type = RankTwoAux
    rank_two_tensor = couple_stress
    variable = couple_stress_xy
    index_i = 0
    index_j = 1
  [../]
  [./couple_stress_xz]
    type = RankTwoAux
    rank_two_tensor = couple_stress
    variable = couple_stress_xz
    index_i = 0
    index_j = 2
  [../]
  [./couple_stress_yx]
    type = RankTwoAux
    rank_two_tensor = couple_stress
    variable = couple_stress_yx
    index_i = 1
    index_j = 0
  [../]
  [./couple_stress_yy]
    type = RankTwoAux
    rank_two_tensor = couple_stress
    variable = couple_stress_yy
    index_i = 1
    index_j = 1
  [../]
  [./couple_stress_yz]
    type = RankTwoAux
    rank_two_tensor = couple_stress
    variable = couple_stress_yz
    index_i = 1
    index_j = 2
  [../]
  [./couple_stress_zx]
    type = RankTwoAux
    rank_two_tensor = couple_stress
    variable = couple_stress_zx
    index_i = 2
    index_j = 0
  [../]
  [./couple_stress_zy]
    type = RankTwoAux
    rank_two_tensor = couple_stress
    variable = couple_stress_zy
    index_i = 2
    index_j = 1
  [../]
  [./couple_stress_zz]
    type = RankTwoAux
    rank_two_tensor = couple_stress
    variable = couple_stress_zz
    index_i = 2
    index_j = 2
  [../]
[]

[Postprocessors]
  [./s_xx]
    type = PointValue
    point = '0 0 0'
    variable = stress_xx
  [../]
  [./s_xy]
    type = PointValue
    point = '0 0 0'
    variable = stress_xy
  [../]
  [./s_xz]
    type = PointValue
    point = '0 0 0'
    variable = stress_xz
  [../]
  [./s_yx]
    type = PointValue
    point = '0 0 0'
    variable = stress_yx
  [../]
  [./s_yy]
    type = PointValue
    point = '0 0 0'
    variable = stress_yy
  [../]
  [./s_yz]
    type = PointValue
    point = '0 0 0'
    variable = stress_yz
  [../]
  [./s_zx]
    type = PointValue
    point = '0 0 0'
    variable = stress_zx
  [../]
  [./s_zy]
    type = PointValue
    point = '0 0 0'
    variable = stress_zy
  [../]
  [./s_zz]
    type = PointValue
    point = '0 0 0'
    variable = stress_zz
  [../]
  [./c_s_xx]
    type = PointValue
    point = '0 0 0'
    variable = couple_stress_xx
  [../]
  [./c_s_xy]
    type = PointValue
    point = '0 0 0'
    variable = couple_stress_xy
  [../]
  [./c_s_xz]
    type = PointValue
    point = '0 0 0'
    variable = couple_stress_xz
  [../]
  [./c_s_yx]
    type = PointValue
    point = '0 0 0'
    variable = couple_stress_yx
  [../]
  [./c_s_yy]
    type = PointValue
    point = '0 0 0'
    variable = couple_stress_yy
  [../]
  [./c_s_yz]
    type = PointValue
    point = '0 0 0'
    variable = couple_stress_yz
  [../]
  [./c_s_zx]
    type = PointValue
    point = '0 0 0'
    variable = couple_stress_zx
  [../]
  [./c_s_zy]
    type = PointValue
    point = '0 0 0'
    variable = couple_stress_zy
  [../]
  [./c_s_zz]
    type = PointValue
    point = '0 0 0'
    variable = couple_stress_zz
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeLayeredCosseratElasticityTensor
    young = 0.7
    poisson = 0.2
    layer_thickness = 0.1
    joint_normal_stiffness = 0.25
    joint_shear_stiffness = 0.2
  [../]
  [./strain]
    type = ComputeCosseratSmallStrain
  [../]
  [./stress]
    type = ComputeCosseratLinearElasticStress
  [../]
[]

[Preconditioning]
  [./andy]
    type = SMP
    full = true
    petsc_options_iname = '-ksp_type -pc_type -sub_pc_type -snes_atol -snes_rtol -snes_max_it -ksp_atol -ksp_rtol'
    petsc_options_value = 'gmres asm lu 1E-10 1E-14 10 1E-15 1E-10'
  [../]
[]

[Executioner]
  type = Transient
  solve_type = Newton
  num_steps = 1
[]

[Outputs]
  execute_on = 'timestep_end'
  file_base = layered_cosserat_02
  csv = true
[]

(modules/solid_mechanics/test/tests/central_difference/consistent/3D/3d_consistent_explicit_mass_scaling.i)

# One element test to test the central difference time integrator in 3D.

[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 2
  xmin = 0.0
  xmax = 1
  ymin = 0.0
  ymax = 1
  zmin = 0.0
  zmax = 2
[]

[Variables]
  [disp_x]
  []
  [disp_y]
  []
  [disp_z]
  []
[]

[AuxVariables]
  [vel_x]
  []
  [accel_x]
  []
  [vel_y]
  []
  [accel_y]
  []
  [vel_z]
  []
  [accel_z]
  []
[]

[AuxKernels]
  [accel_x]
    type = TestNewmarkTI
    variable = accel_x
    displacement = disp_x
    first = false
  []
  [vel_x]
    type = TestNewmarkTI
    variable = vel_x
    displacement = disp_x
  []
  [accel_y]
    type = TestNewmarkTI
    variable = accel_y
    displacement = disp_y
    first = false
  []
  [vel_y]
    type = TestNewmarkTI
    variable = vel_y
    displacement = disp_x
  []
  [accel_z]
    type = TestNewmarkTI
    variable = accel_z
    displacement = disp_z
    first = false
  []
  [vel_z]
    type = TestNewmarkTI
    variable = vel_z
    displacement = disp_z
  []
[]

[Kernels]
  [DynamicSolidMechanics]
    displacements = 'disp_x disp_y disp_z'
  []
  [inertia_x]
    type = InertialForce
    variable = disp_x
  []
  [inertia_y]
    type = InertialForce
    variable = disp_y
  []
  [inertia_z]
    type = InertialForce
    variable = disp_z
  []
[]

[BCs]
  [x_bot]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'back'
    function = dispx
    preset = false
  []
  [y_bot]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'back'
    function = dispy
    preset = false
  []
  [z_bot]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'back'
    function = dispz
    preset = false
  []
  [Periodic]
    [x_dir]
      variable = 'disp_x disp_y disp_z'
      primary = 'left'
      secondary = 'right'
      translation = '1.0 0.0 0.0'
    []
    [y_dir]
      variable = 'disp_x disp_y disp_z'
      primary = 'bottom'
      secondary = 'top'
      translation = '0.0 1.0 0.0'
    []
  []
[]

[Functions]
  [dispx]
    type = PiecewiseLinear
    x = '0.0 1.0 2.0 3.0 4.0' # time
    y = '0.0 1.0 0.0 -1.0 0.0' # displacement
  []
  [dispy]
    type = ParsedFunction
    value = 0.1*t*t*sin(10*t)
  []
  [dispz]
    type = ParsedFunction
    value = 0.1*t*t*sin(20*t)
  []
[]

[Materials]
  [elasticity_tensor_block]
    type = ComputeIsotropicElasticityTensor
    youngs_modulus = 1e6
    poissons_ratio = 0.25
    block = 0
  []
  [strain_block]
    type = ComputeIncrementalStrain
    block = 0
    displacements = 'disp_x disp_y disp_z'
    implicit = false
  []
  [stress_block]
    type = ComputeFiniteStrainElasticStress
    block = 0
  []
  [density]
    type = GenericConstantMaterial
    block = 0
    prop_names = density
    prop_values = 1e4
  []
  [density_scaling]
    type = DensityScaling
    block = 0
    density = density
    desired_time_step = 0.06
    output_properties = density_scaling
    outputs = 'exodus'
    factor = 0.5
  []
[]

[Executioner]
  type = Transient
  start_time = -0.01
  end_time = 0.1
  dt = 0.005
  timestep_tolerance = 1e-6
  [TimeIntegrator]
    type = CentralDifference
    use_constant_mass = false
    solve_type = lumped
  []
  [TimeStepper]
    type = PostprocessorDT
    postprocessor = time_step
  []
[]

[Postprocessors]
  [accel_6x]
    type = NodalVariableValue
    nodeid = 6
    variable = accel_x
  []
  [time_step]
    type = CriticalTimeStep
    factor = 0.5
    density = density
    density_scaling = density_scaling
    execute_on = 'INITIAL TIMESTEP_END'
  []
[]

[Outputs]
  exodus = true
  csv = true
[]

(test/tests/executioners/transient_sync_time/transient_sync_time_test.i)

[Mesh]
  type = GeneratedMesh
  dim = 2
  nx = 20
  ny = 20
[]

[Variables]
  [./u]
    order = FIRST
    family = LAGRANGE
  [../]
[]

[Functions]
  [./bc_func]
    type = ParsedFunction
    expression = sin(pi*0.1*x*t)
  [../]

  # Laplacian of the function above
  [./interior_func]
    type = ParsedFunction
    expression = 0.01*pi*pi*t*t*sin(0.1*pi*x*t)
  [../]
[]

[Kernels]
  [./diff]
    type = Diffusion
    variable = u
  [../]

  [./forcing]
    type = BodyForce
    variable = u
    function = interior_func
  [../]
[]

[BCs]
  [./all]
    type = FunctionDirichletBC
    variable = u
    preset = false
    boundary = '0 1 2 3'
    function = bc_func
  [../]
[]

[Executioner]
  type = Transient

  dt = 1
  start_time = 0
  end_time = 40
  num_steps = 1000
[]

[Outputs]
  execute_on = 'timestep_end'
  file_base = out
  exodus = true
  sync_times = '10.5 20 30.5'
[]

(modules/xfem/test/tests/moving_interface/moving_bimaterial_finite_strain_cut_mesh.i)

# This test is for two layer materials with different youngs modulus with AD
# The global stress is determined by switching the stress based on level set values
# The material interface is marked by a level set function
# The two layer materials are glued together

[GlobalParams]
  displacements = 'disp_x disp_y'
[]

[XFEM]
  output_cut_plane = true
[]

[UserObjects]
  [cut]
    type = InterfaceMeshCut2DUserObject
    mesh_file = line.e
    interface_velocity_function = -1
    heal_always = true
  []
[]

[Mesh]
  use_displaced_mesh = true
  [generated_mesh]
    type = GeneratedMeshGenerator
    dim = 2
    nx = 10
    ny = 10
    xmin = 0
    xmax = 5
    ymin = 0
    ymax = 5
    elem_type = QUAD4
  []
  [left_bottom]
    type = ExtraNodesetGenerator
    new_boundary = 'left_bottom'
    coord = '0 0'
    input = generated_mesh
  []
  [left_top]
    type = ExtraNodesetGenerator
    new_boundary = 'left_top'
    coord = '0 5'
    input = left_bottom
  []
[]

# [Functions]
#   [ls_func]
#     type = ParsedFunction
#     expression = 'y-2.73+t'
#   []
# []

[Variables]
  [disp_x]
  []
  [disp_y]
  []
[]

[AuxVariables]
  [ls]
  []
  [a_strain_xx]
    order = CONSTANT
    family = MONOMIAL
  []
  [a_strain_yy]
    order = CONSTANT
    family = MONOMIAL
  []
  [a_strain_xy]
    order = CONSTANT
    family = MONOMIAL
  []
  [b_strain_xx]
    order = CONSTANT
    family = MONOMIAL
  []
  [b_strain_yy]
    order = CONSTANT
    family = MONOMIAL
  []
  [b_strain_xy]
    order = CONSTANT
    family = MONOMIAL
  []
  [stress_xx]
    order = CONSTANT
    family = MONOMIAL
  []
  [stress_yy]
    order = CONSTANT
    family = MONOMIAL
  []
  [stress_xy]
    order = CONSTANT
    family = MONOMIAL
  []

[]

[AuxKernels]
  # [ls_function]
  #   type = FunctionAux
  #   variable = ls
  #   function = ls_func
  # []
  [a_strain_xx]
    type = RankTwoAux
    variable = a_strain_xx
    rank_two_tensor = A_total_strain
    index_i = 0
    index_j = 0
  []
  [a_strain_yy]
    type = RankTwoAux
    variable = a_strain_yy
    rank_two_tensor = A_total_strain
    index_i = 1
    index_j = 1
  []
  [a_strain_xy]
    type = RankTwoAux
    variable = a_strain_xy
    rank_two_tensor = A_total_strain
    index_i = 0
    index_j = 1
  []
  [b_strain_xx]
    type = RankTwoAux
    variable = b_strain_xx
    rank_two_tensor = B_total_strain
    index_i = 0
    index_j = 0
  []
  [b_strain_yy]
    type = RankTwoAux
    variable = b_strain_yy
    rank_two_tensor = B_total_strain
    index_i = 1
    index_j = 1
  []
  [b_strain_xy]
    type = RankTwoAux
    variable = b_strain_xy
    rank_two_tensor = B_total_strain
    index_i = 0
    index_j = 1
  []
  [stress_xx]
    type = RankTwoAux
    variable = stress_xx
    rank_two_tensor = stress
    index_i = 0
    index_j = 0
  []
  [stress_xy]
    type = RankTwoAux
    variable = stress_xy
    rank_two_tensor = stress
    index_i = 0
    index_j = 1
  []
  [stress_yy]
    type = RankTwoAux
    variable = stress_yy
    rank_two_tensor = stress
    index_i = 1
    index_j = 1
  []
[]

[Kernels]
  [solid_x]
    type = StressDivergenceTensors
    variable = disp_x
    component = 0
    use_displaced_mesh = true
  []
  [solid_y]
    type = StressDivergenceTensors
    variable = disp_y
    component = 1
    use_displaced_mesh = true
  []
[]

[Constraints]
  [dispx_constraint]
    type = XFEMSingleVariableConstraint
    use_displaced_mesh = false
    variable = disp_x
    alpha = 1e8
    geometric_cut_userobject = 'level_set_cut_uo'
  []
  [dispy_constraint]
    type = XFEMSingleVariableConstraint
    use_displaced_mesh = false
    variable = disp_y
    alpha = 1e8
    geometric_cut_userobject = 'level_set_cut_uo'
  []
[]

[BCs]
  [bottomx]
    type = DirichletBC
    boundary = bottom
    variable = disp_x
    value = 0.0
  []
  [bottomy]
    type = DirichletBC
    boundary = bottom
    variable = disp_y
    value = 0.0
  []
  [topx]
    type = FunctionDirichletBC
    boundary = top
    variable = disp_x
    function = 0.03*t
  []
  [topy]
    type = FunctionDirichletBC
    boundary = top
    variable = disp_y
    function = '0.03*t'
  []
[]

[Materials]
  [elasticity_tensor_A]
    type = ComputeIsotropicElasticityTensor
    base_name = A
    youngs_modulus = 1e9
    poissons_ratio = 0.3
  []
  [strain_A]
    type = ComputeFiniteStrain
    base_name = A
  []
  [stress_A]
    type = ComputeFiniteStrainElasticStress
    base_name = A
  []
  [elasticity_tensor_B]
    type = ComputeIsotropicElasticityTensor
    base_name = B
    youngs_modulus = 1e7
    poissons_ratio = 0.3
  []
  [strain_B]
    type = ComputeFiniteStrain
    base_name = B
  []
  [stress_B]
    type = ComputeFiniteStrainElasticStress
    base_name = B
  []
  [combined_stress]
    type = LevelSetBiMaterialRankTwo
    levelset_positive_base = 'A'
    levelset_negative_base = 'B'
    level_set_var = ls
    prop_name = stress
  []
  [combined_jacob_mult]
    type = LevelSetBiMaterialRankFour
    levelset_positive_base = 'A'
    levelset_negative_base = 'B'
    level_set_var = ls
    prop_name = Jacobian_mult
  []
[]

[Postprocessors]
  [disp_x_norm]
    type = ElementL2Norm
    variable = disp_x
  []
  [disp_y_norm]
    type = ElementL2Norm
    variable = disp_y
  []
[]

[Executioner]
  type = Transient

  solve_type = NEWTON
  petsc_options_iname = '-pc_type'
  petsc_options_value = 'lu'
  automatic_scaling = true

  # controls for nonlinear iterations
  nl_max_its = 15
  nl_rel_tol = 1e-13
  nl_abs_tol = 1e-50

  # time control
  start_time = 0.0
  dt = 0.1
  num_steps = 4

  max_xfem_update = 1
[]

[Outputs]
  print_linear_residuals = false
  exodus = true
[]

(modules/heat_transfer/test/tests/truss_heat_conduction/rectangle_w_line.i)

[Mesh]
  parallel_type = 'replicated'
  [rectangle]
    type = GeneratedMeshGenerator
    dim = 2
    nx = 5
    ny = 50
    xmin = -0.5
    xmax = 0.5
    ymin = -1.25
    ymax = 1.25
    boundary_name_prefix = rectangle
  []
  [rectangle_id]
    type = SubdomainIDGenerator
    input = rectangle
    subdomain_id = 1
  []
  [line]
    type = GeneratedMeshGenerator
    dim = 1
    xmin = -0.5
    xmax = 0.5
    nx = 10
    boundary_name_prefix = line
    boundary_id_offset = 10
  []
  [line_id]
    type = SubdomainIDGenerator
    input = line
    subdomain_id = 2
  []
  [combined]
    type = MeshCollectionGenerator
    inputs = 'rectangle_id line_id'
  []
  [blcok_rename]
    type = RenameBlockGenerator
    input = combined
    old_block = '1 2'
    new_block = 'rectangle line'
  []
[]

[Variables]
  [temperature]
  []
[]

[Kernels]
  [time_derivative]
    type = HeatConductionTimeDerivative
    variable = temperature
    block = 'rectangle'
  []
  [heat_conduction]
    type = HeatConduction
    variable = temperature
    block = 'rectangle'
  []
  [time_derivative_line]
    type = TrussHeatConductionTimeDerivative
    variable = temperature
    area = area
    block = 'line'
  []
  [heat_conduction_line]
    type = TrussHeatConduction
    variable = temperature
    area = area
    block = 'line'
  []
[]

[AuxVariables]
  [area]
    order = CONSTANT
    family = MONOMIAL
  []
[]

[AuxKernels]
  [area]
    type = ConstantAux
    variable = area
    value = 0.1 # strip thickness
    execute_on = 'initial timestep_begin'
  []
[]

[Constraints]
  [equalvalue]
    type = EqualValueEmbeddedConstraint
    secondary = 'line'
    primary = 'rectangle'
    penalty = 1e6
    formulation = kinematic
    primary_variable = temperature
    variable = temperature
  []
[]

[Materials]
  [rectangle]
    type = GenericConstantMaterial
    block = 'rectangle'
    prop_names =  'thermal_conductivity specific_heat density'
    prop_values = '1.0                 1.0           1.0' # W/(cm K), J/(g K), g/cm^3
  []
  [line]
    type = GenericConstantMaterial
    block = 'line'
    prop_names =  'thermal_conductivity specific_heat density'
    prop_values = '10.0                 1.0           1.0' # W/(cm K), J/(g K), g/cm^3
  []
[]

[BCs]
  [right]
    type = FunctionDirichletBC
    variable = temperature
    boundary = 'rectangle_right line_right'
    function = '10*t'
  []
[]

[VectorPostprocessors]
  [x_n0_25]
    type = LineValueSampler
    start_point = '-0.25 0 0'
    end_point = '-0.25 1.25 0'
    num_points = 100
    variable = 'temperature'
    sort_by = id
  []
  [x_0_25]
    type = LineValueSampler
    start_point = '0.25 0 0'
    end_point = '0.25 1.25 0'
    num_points = 100
    variable = 'temperature'
    sort_by = id
  []
[]

[Executioner]
  type = Transient
  start_time = 0
  dt = 1
  end_time = 1
  solve_type = 'PJFNK'
  petsc_options_iname = '-pc_type -pc_hypre_type'
  petsc_options_value = 'hypre boomeramg'
[]

[Outputs]
  exodus = true
  [csv]
    type = CSV
    file_base = 'csv/rectangle_w_line'
    time_data = true
  []
[]

(test/tests/time_steppers/timesequence_stepper/timesequence_restart2.i)

[Mesh]
  file = timesequence_restart1_cp/0002-mesh.cpa.gz
[]

[Problem]
  restart_file_base = timesequence_restart1_cp/0002
  # There is an initial conditions overwriting the restart on the nonlinear variable u
  # As you can see in the gold file, this makes the initial step output be from the
  # initial condition
  allow_initial_conditions_with_restart = true
[]

[Functions]
  [exact_fn]
    type = ParsedFunction
    expression = t*t*(x*x+y*y)
  []

  [forcing_fn]
    type = ParsedFunction
    expression = 2*t*(x*x+y*y)-4*t*t
  []
[]

[Variables]
  [u]
    family = LAGRANGE
    order = SECOND
  []
[]

[ICs]
  [u_var]
    type = FunctionIC
    variable = u
    function = exact_fn
  []
[]

[Kernels]
  [td]
    type = TimeDerivative
    variable = u
  []

  [diff]
    type = Diffusion
    variable = u
  []

  [ffn]
    type = BodyForce
    variable = u
    function = forcing_fn
  []
[]

[BCs]
  [all]
    type = FunctionDirichletBC
    variable = u
    boundary = 'left right top bottom'
    function = exact_fn
  []
[]

[Executioner]
  type = Transient
  end_time = 4.0
  [TimeStepper]
    type = TimeSequenceStepper
    time_sequence = '0   0.85 1.3 2 4'
  []
[]

[Outputs]
  exodus = true
[]

(modules/solid_mechanics/test/tests/mohr_coulomb/planar_hard2.i)

# apply uniform stretches in x, y and z directions.
# let friction_angle = 60deg, friction_angle_residual=10deg, friction_angle_rate = 0.5E4
# With cohesion = C, friction_angle = phi, the
# algorithm should return to
# sigma_m = C*Cos(phi)/Sin(phi)
# Or, when T=C,
# phi = arctan(C/sigma_m)

[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]


[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
[]

[Kernels]
  [SolidMechanics]
    displacements = 'disp_x disp_y disp_z'
  [../]
[]


[BCs]
  [./x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'front back'
    function = '1E-6*x*t'
  [../]
  [./y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'front back'
    function = '1E-6*y*t'
  [../]
  [./z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'front back'
    function = '1E-6*z*t'
  [../]
[]

[AuxVariables]
  [./stress_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./mc_int]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./yield_fcn]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]

[AuxKernels]
  [./stress_xx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xx
    index_i = 0
    index_j = 0
  [../]
  [./stress_xy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xy
    index_i = 0
    index_j = 1
  [../]
  [./stress_xz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xz
    index_i = 0
    index_j = 2
  [../]
  [./stress_yy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yy
    index_i = 1
    index_j = 1
  [../]
  [./stress_yz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yz
    index_i = 1
    index_j = 2
  [../]
  [./stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zz
    index_i = 2
    index_j = 2
  [../]
  [./mc_int_auxk]
    type = MaterialStdVectorAux
    index = 0
    property = plastic_internal_parameter
    variable = mc_int
  [../]
  [./yield_fcn_auxk]
    type = MaterialStdVectorAux
    index = 0
    property = plastic_yield_function
    variable = yield_fcn
  [../]
[]

[Postprocessors]
  [./s_xx]
    type = PointValue
    point = '0 0 0'
    variable = stress_xx
  [../]
  [./s_xy]
    type = PointValue
    point = '0 0 0'
    variable = stress_xy
  [../]
  [./s_xz]
    type = PointValue
    point = '0 0 0'
    variable = stress_xz
  [../]
  [./s_yy]
    type = PointValue
    point = '0 0 0'
    variable = stress_yy
  [../]
  [./s_yz]
    type = PointValue
    point = '0 0 0'
    variable = stress_yz
  [../]
  [./s_zz]
    type = PointValue
    point = '0 0 0'
    variable = stress_zz
  [../]
  [./internal]
    type = PointValue
    point = '0 0 0'
    variable = mc_int
  [../]
  [./f]
    type = PointValue
    point = '0 0 0'
    variable = yield_fcn
  [../]
[]

[UserObjects]
  [./mc_coh]
    type = SolidMechanicsHardeningConstant
    value = 10
  [../]
  [./mc_phi]
    type = SolidMechanicsHardeningExponential
    value_0 = 1.04719755 # 60deg
    value_residual = 0.17453293 # 10deg
    rate = 0.5E4
  [../]
  [./mc_psi]
    type = SolidMechanicsHardeningConstant
    value = 5
    convert_to_radians = true
  [../]
  [./mc]
    type = SolidMechanicsPlasticMohrCoulombMulti
    cohesion = mc_coh
    friction_angle = mc_phi
    dilation_angle = mc_psi
    shift = 1E-12
    use_custom_returnMap = true
    yield_function_tolerance = 1E-5
    internal_constraint_tolerance = 1E-9
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    block = 0
    fill_method = symmetric_isotropic
    C_ijkl = '0.0E7 1E7'
  [../]
  [./strain]
    type = ComputeFiniteStrain
    block = 0
    displacements = 'disp_x disp_y disp_z'
  [../]
  [./mc]
    type = ComputeMultiPlasticityStress
    block = 0
    ep_plastic_tolerance = 1E-12
    plastic_models = mc
  [../]
[]


[Executioner]
  end_time = 10
  dt = 1
  type = Transient
[]


[Outputs]
  file_base = planar_hard2
  exodus = false
  [./csv]
    type = CSV
    execute_on = timestep_end
    [../]
[]

(test/tests/postprocessors/nodal_var_value/screen_output_test.i)

[Mesh]
  file = square-2x2-nodeids.e
  # This test can only be run with renumering disabled, so the
  # NodalVariableValue postprocessor's node id is well-defined.
  allow_renumbering = false
[]

[Variables]
  active = 'u v'

  [./u]
    order = SECOND
    family = LAGRANGE
  [../]

  [./v]
    order = SECOND
    family = LAGRANGE
  [../]
[]

[Functions]
  active = 'force_fn exact_fn left_bc'

  [./force_fn]
    type = ParsedFunction
    expression = '1-x*x+2*t'
  [../]

  [./exact_fn]
    type = ParsedFunction
    expression = '(1-x*x)*t'
  [../]

  [./left_bc]
    type = ParsedFunction
    expression = t
  [../]
[]

[Kernels]
  active = '
    time_u diff_u ffn_u
    time_v diff_v'

  [./time_u]
    type = TimeDerivative
    variable = u
  [../]

  [./diff_u]
    type = Diffusion
    variable = u
  [../]

  [./ffn_u]
    type = BodyForce
    variable = u
    function = force_fn
  [../]

  [./time_v]
    type = TimeDerivative
    variable = v
  [../]

  [./diff_v]
    type = Diffusion
    variable = v
  [../]
[]

[BCs]
  active = 'all_u left_v right_v'

  [./all_u]
    type = FunctionDirichletBC
    variable = u
    boundary = '1'
    function = exact_fn
  [../]

  [./left_v]
    type = FunctionDirichletBC
    variable = v
    boundary = '3'
    function = left_bc
  [../]

  [./right_v]
    type = DirichletBC
    variable = v
    boundary = '2'
    value = 0
  [../]
[]

[Postprocessors]
  active = 'l2 node1 node4'

  [./l2]
    type = ElementL2Error
    variable = u
    function = exact_fn
  [../]

  [./node1]
    type = NodalVariableValue
    variable = u
    nodeid = 15
  [../]

  [./node4]
    type = NodalVariableValue
    variable = v
    nodeid = 10
  [../]
[]

[Executioner]
  type = Transient

  solve_type = 'PJFNK'

  dt = 0.1
  start_time = 0
  end_time = 1
[]

[Outputs]
  execute_on = 'timestep_end'
  exodus = true
  [./console]
    type = Console
    max_rows = 2
  [../]
[]

(test/tests/utils/spline_interpolation/bicubic_spline_interpolation_x_normal.i)

[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1 # needed to ensure Z is the problem dimension
  ny = 4
  nz = 4
  ymax = 4
  zmax = 4
[]

[Functions]
  [./yx1]
    type = ParsedFunction
    expression = '3*y^2'
  [../]
  [./yx2]
    type = ParsedFunction
    expression = '6*z^2'
  [../]
  [./spline_fn]
    type = BicubicSplineFunction
    normal_component = 'x'
    x1 = '0 2 4'
    x2 = '0 2 4 6'
    y = '0 16 128 432 8 24 136 440 64 80 192 496'
    yx11 = '0 0 0 0'
    yx1n = '48 48 48 48'
    yx21 = '0 0 0'
    yx2n = '216 216 216'
    yx1 = 'yx1'
    yx2 = 'yx2'
  [../]
  [./u_func]
    type = ParsedFunction
    expression = 'y^3 + 2*z^3'
  [../]
  [./u2_forcing_func]
    type = ParsedFunction
    expression = '-6*y - 12*z'
  [../]
[]

[Variables]
  [./u]
  [../]
[]

[AuxVariables]
  [./bi_func_value]
    order = FIRST
    family = LAGRANGE
  [../]
  [./y_deriv]
    order = FIRST
    family = LAGRANGE
  [../]
  [./z_deriv]
    order = FIRST
    family = LAGRANGE
  [../]
[]

[AuxKernels]
  [./bi_func_value]
    type = FunctionAux
    variable = bi_func_value
    function = spline_fn
  [../]
  [./deriv_1]
    type = FunctionDerivativeAux
    function = spline_fn
    variable = y_deriv
    component = y
  [../]
  [./deriv_2]
    type = FunctionDerivativeAux
    function = spline_fn
    variable = z_deriv
    component = z
  [../]
[]

[Kernels]
  [./diff]
    type = Diffusion
    variable = u
  [../]
  [./body_force]
    type = BodyForce
    variable = u
    function = u2_forcing_func
  [../]
[]

[BCs]
  [./sides]
    type = FunctionDirichletBC
    variable = u
    boundary = 'left right front back'
    function = u_func
  [../]
[]

[Postprocessors]
  [./nodal_l2_err_spline]
    type = NodalL2Error
    variable = u
    function = spline_fn
    execute_on = 'initial timestep_end'
  [../]
  [./nodal_l2_err_analytic]
    type = NodalL2Error
    variable = u
    function = u_func
    execute_on = 'initial timestep_end'
  [../]
  [./y_deriv_err_analytic]
    type = NodalL2Error
    variable = y_deriv
    function = yx1
    execute_on = 'initial timestep_end'
  [../]
  [./z_deriv_err_analytic]
    type = NodalL2Error
    variable = z_deriv
    function = yx2
    execute_on = 'initial timestep_end'
  [../]
[]

[Executioner]
  type = Steady
  solve_type = NEWTON
  nl_rel_tol = 1e-12
[]

[Outputs]
  exodus = true
[]

(test/tests/geomsearch/3d_moving_penetration/pl_test2.i)

[GlobalParams]
  order = FIRST
  family = LAGRANGE
[]

[Mesh]
  file = pl_test2.e
  displacements = 'disp_x disp_y disp_z'
[]

[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
[]

[AuxVariables]
  [./distance]
  [../]
  [./tangential_distance]
  [../]
  [./normal_x]
  [../]
  [./normal_y]
  [../]
  [./normal_z]
  [../]
  [./closest_point_x]
  [../]
  [./closest_point_y]
  [../]
  [./closest_point_z]
  [../]
  [./element_id]
  [../]
  [./side]
  [../]
[]

[Kernels]
  [./diff_x]
    type = Diffusion
    variable = disp_x
  [../]
  [./diff_y]
    type = Diffusion
    variable = disp_y
  [../]
  [./diff_z]
    type = Diffusion
    variable = disp_z
  [../]
[]

[AuxKernels]
  [./penetrate]
    type = PenetrationAux
    variable = distance
    boundary = 11            #secondary
    paired_boundary = 12     #primary
  [../]

  [./penetrate2]
    type = PenetrationAux
    variable = distance
    boundary = 12            #secondary
    paired_boundary = 11     #primary
  [../]

  [./penetrate3]
    type = PenetrationAux
    variable = tangential_distance
    boundary = 11
    paired_boundary = 12
    quantity = tangential_distance
  [../]

  [./penetrate4]
    type = PenetrationAux
    variable = tangential_distance
    boundary = 12
    paired_boundary = 11
    quantity = tangential_distance
  [../]

  [./penetrate5]
    type = PenetrationAux
    variable = normal_x
    boundary = 11
    paired_boundary = 12
    quantity = normal_x
  [../]

  [./penetrate6]
    type = PenetrationAux
    variable = normal_x
    boundary = 12
    paired_boundary = 11
    quantity = normal_x
  [../]

  [./penetrate7]
    type = PenetrationAux
    variable = normal_y
    boundary = 11
    paired_boundary = 12
    quantity = normal_y
  [../]

  [./penetrate8]
    type = PenetrationAux
    variable = normal_y
    boundary = 12
    paired_boundary = 11
    quantity = normal_y
  [../]

  [./penetrate9]
    type = PenetrationAux
    variable = normal_z
    boundary = 11
    paired_boundary = 12
    quantity = normal_z
  [../]

  [./penetrate10]
    type = PenetrationAux
    variable = normal_z
    boundary = 12
    paired_boundary = 11
    quantity = normal_z
  [../]

  [./penetrate11]
    type = PenetrationAux
    variable = closest_point_x
    boundary = 11
    paired_boundary = 12
    quantity = closest_point_x
  [../]

  [./penetrate12]
    type = PenetrationAux
    variable = closest_point_x
    boundary = 12
    paired_boundary = 11
    quantity = closest_point_x
  [../]

  [./penetrate13]
    type = PenetrationAux
    variable = closest_point_y
    boundary = 11
    paired_boundary = 12
    quantity = closest_point_y
  [../]

  [./penetrate14]
    type = PenetrationAux
    variable = closest_point_y
    boundary = 12
    paired_boundary = 11
    quantity = closest_point_y
  [../]

  [./penetrate15]
    type = PenetrationAux
    variable = closest_point_z
    boundary = 11
    paired_boundary = 12
    quantity = closest_point_z
  [../]

  [./penetrate16]
    type = PenetrationAux
    variable = closest_point_z
    boundary = 12
    paired_boundary = 11
    quantity = closest_point_z
  [../]

  [./penetrate17]
    type = PenetrationAux
    variable = element_id
    boundary = 11
    paired_boundary = 12
    quantity = element_id
  [../]

  [./penetrate18]
    type = PenetrationAux
    variable = element_id
    boundary = 12
    paired_boundary = 11
    quantity = element_id
  [../]

  [./penetrate19]
    type = PenetrationAux
    variable = side
    boundary = 11
    paired_boundary = 12
    quantity = side
  [../]

  [./penetrate20]
    type = PenetrationAux
    variable = side
    boundary = 12
    paired_boundary = 11
    quantity = side
  [../]
[]

[BCs]
  [./b1x]
    type = DirichletBC
    variable = disp_x
    boundary = 1
    value = 0
  [../]

  [./b1y]
    type = DirichletBC
    variable = disp_y
    boundary = 1
    value = 0
  [../]

  [./b1z]
    type = DirichletBC
    variable = disp_z
    boundary = 1
    value = 0
  [../]

  [./b2x]
    type = DirichletBC
    variable = disp_x
    boundary = 2
    value = 0
  [../]

  [./b2y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 2
    function = disp_y
  [../]

  [./b2z]
    type = DirichletBC
    variable = disp_z
    boundary = 2
    value = 0
  [../]
[]

[Functions]
  [./disp_y]
    type = PiecewiseLinear
    x = '0.0 0.25 0.75 1.0'
    y = '0.0 0.7 -0.7  0.0'
  [../]
[]

[Executioner]
  type = Transient

  solve_type = 'PJFNK'
  petsc_options = '-snes_ksp_ew'

  nl_rel_tol = 1e-9
  l_max_its = 10

  start_time = 0.0
  dt = 0.05
  end_time = 1.0
[]

[Outputs]
  file_base = pl_test2_out
  exodus = true
[]

(modules/solid_mechanics/test/tests/multi/paper3.i)

# This runs the third example models described in the 'MultiSurface' plasticity paper
# Just change the deactivation_scheme
#
# Plasticity models:
# Mohr-Coulomb with cohesion = 40MPa, friction angle = 35deg, dilation angle = 5deg
# Tensile with strength = 1MPa
# WeakPlaneTensile with strength = 1000Pa
# WeakPlaneShear with cohesion = 0.1MPa and friction angle = 25, dilation angle = 5deg
#
# Lame lambda = 1.2GPa.  Lame mu = 1.2GPa (Young = 3GPa, poisson = 0.5)
#
# A line of elements is perturbed randomly, and return to the yield surface at each quadpoint is checked

[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1000
  ny = 125
  nz = 1
  xmin = 0
  xmax = 1000
  ymin = 0
  ymax = 125
  zmin = 0
  zmax = 1
[]


[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
[]

[GlobalParams]
  volumetric_locking_correction=true
[]

[Kernels]
  [SolidMechanics]
    displacements = 'disp_x disp_y disp_z'
  [../]
[]


[ICs]
  [./x]
    type = RandomIC
    min = -0.1
    max = 0.1
    variable = disp_x
  [../]
  [./y]
    type = RandomIC
    min = -0.1
    max = 0.1
    variable = disp_y
  [../]
  [./z]
    type = RandomIC
    min = -0.1
    max = 0.1
    variable = disp_z
  [../]
[]

[BCs]
  [./x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'front back'
    function = '0'
  [../]
  [./y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'front back'
    function = '0'
  [../]
  [./z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'front back'
    function = '0'
  [../]
[]

[AuxVariables]
  [./stress_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./linesearch]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./ld]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./constr_added]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./iter]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]

[AuxKernels]
  [./stress_xx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xx
    index_i = 0
    index_j = 0
  [../]
  [./stress_xy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xy
    index_i = 0
    index_j = 1
  [../]
  [./stress_xz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xz
    index_i = 0
    index_j = 2
  [../]
  [./stress_yy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yy
    index_i = 1
    index_j = 1
  [../]
  [./stress_yz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yz
    index_i = 1
    index_j = 2
  [../]
  [./stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zz
    index_i = 2
    index_j = 2
  [../]
  [./linesearch]
    type = MaterialRealAux
    property = plastic_linesearch_needed
    variable = linesearch
  [../]
  [./ld]
    type = MaterialRealAux
    property = plastic_linear_dependence_encountered
    variable = ld
  [../]
  [./constr_added]
    type = MaterialRealAux
    property = plastic_constraints_added
    variable = constr_added
  [../]
  [./iter]
    type = MaterialRealAux
    property = plastic_NR_iterations
    variable = iter
  [../]
[]

[Postprocessors]
  [./max_iter]
    type = ElementExtremeValue
    variable = iter
    outputs = console
  [../]
  [./av_iter]
    type = ElementAverageValue
    variable = iter
    outputs = 'console csv'
  [../]
  [./av_linesearch]
    type = ElementAverageValue
    variable = linesearch
    outputs = 'console csv'
  [../]
  [./av_ld]
    type = ElementAverageValue
    variable = ld
    outputs = 'console csv'
  [../]
  [./av_constr_added]
    type = ElementAverageValue
    variable = constr_added
    outputs = 'console csv'
  [../]
[]

[UserObjects]
  [./mc_coh]
    type = SolidMechanicsHardeningConstant
    value = 4E7
  [../]
  [./mc_phi]
    type = SolidMechanicsHardeningConstant
    value = 35
    convert_to_radians = true
  [../]
  [./mc_psi]
    type = SolidMechanicsHardeningConstant
    value = 5
    convert_to_radians = true
  [../]
  [./mc]
    type = SolidMechanicsPlasticMohrCoulombMulti
    cohesion = mc_coh
    friction_angle = mc_phi
    dilation_angle = mc_psi
    yield_function_tolerance = 1.0
    shift = 1.0
    internal_constraint_tolerance = 1.0E-7
  [../]
  [./mc_smooth]
    type = SolidMechanicsPlasticMohrCoulomb
    cohesion = mc_coh
    friction_angle = mc_phi
    dilation_angle = mc_psi
    mc_tip_smoother = 4E6
    yield_function_tolerance = 1.0
    internal_constraint_tolerance = 1.0E-7
  [../]

  [./ts]
    type = SolidMechanicsHardeningConstant
    value = 1E6
  [../]
  [./tensile]
    type = SolidMechanicsPlasticTensileMulti
    tensile_strength = ts
    yield_function_tolerance = 1.0
    shift = 1.0
    internal_constraint_tolerance = 1.0E-7
    use_custom_returnMap = false
    use_custom_cto = false
  [../]
  [./tensile_smooth]
    type = SolidMechanicsPlasticTensile
    tensile_strength = ts
    tensile_tip_smoother = 1E5
    yield_function_tolerance = 1.0
    internal_constraint_tolerance = 1.0E-7
  [../]

  [./wpt_str]
    type = SolidMechanicsHardeningConstant
    value = 1.0E3
  [../]
  [./wpt]
    type = SolidMechanicsPlasticWeakPlaneTensile
    tensile_strength = wpt_str
    yield_function_tolerance = 1.0
    internal_constraint_tolerance = 1.0E-7
  [../]

  [./wps_c]
    type = SolidMechanicsHardeningConstant
    value = 1.0E5
  [../]
  [./wps_tan_phi]
    type = SolidMechanicsHardeningConstant
    value = 0.466
  [../]
  [./wps_tan_psi]
    type = SolidMechanicsHardeningConstant
    value = 0.087
  [../]
  [./wps]
    type = SolidMechanicsPlasticWeakPlaneShear
    cohesion = wps_c
    tan_friction_angle = wps_tan_phi
    tan_dilation_angle = wps_tan_psi
    smoother = 1.0E4
    yield_function_tolerance = 1.0
    internal_constraint_tolerance = 1.0E-7
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    block = 0
    fill_method = symmetric_isotropic
    C_ijkl = '1.2E9 1.2E9'
  [../]
  [./strain]
    type = ComputeFiniteStrain
    block = 0
    displacements = 'disp_x disp_y disp_z'
  [../]
  [./multi]
    type = ComputeMultiPlasticityStress
    block = 0
    ep_plastic_tolerance = 1E-7

    plastic_models = 'tensile_smooth mc_smooth wpt wps'
    max_NR_iterations = 30
    specialIC = 'none'
    deactivation_scheme = 'optimized'
    min_stepsize = 1E-6
    max_stepsize_for_dumb = 1E-2

    debug_fspb = crash
    debug_jac_at_stress = '10 0 0 0 10 0 0 0 10'
    debug_jac_at_pm = '1 1 1 1'
    debug_jac_at_intnl = '1 1 1 1'
    debug_stress_change = 1E1
    debug_pm_change = '1E-6 1E-6 1E-6 1E-6'
    debug_intnl_change = '1E-6 1E-6 1E-6 1E-6'
  [../]
[]


[Executioner]
  end_time = 1
  dt = 1
  type = Transient
[]


[Outputs]
  file_base = paper3
  exodus = false
  csv = true
[]

(modules/heat_transfer/test/tests/gap_heat_transfer_htonly/cyl2D.i)

#
# 2D Cylindrical Gap Heat Transfer Test.
#
# This test exercises 2D gap heat transfer for a constant conductivity gap.
#
# The mesh consists of an inner solid cylinder of radius = 1 unit, and outer
# hollow cylinder with an inner radius of 2 in the x-y plane. In other words,
# the gap between them is 1 radial unit in length.
#
# The conductivity of both cylinders is set very large to achieve a uniform
# temperature in each cylinder. The temperature of the center node of the
# inner cylinder is ramped from 100 to 200 over one time unit. The temperature
# of the outside of the outer, hollow cylinder is held fixed at 100.
#
# A simple analytical solution is possible for the integrated heat flux
# between the inner and outer cylinders:
#
#  Integrated Flux = (T_left - T_right) * (gapK/(r*ln(r2/r1))) * Area
#
# For gapK = 1 (default value)
#
# The area is taken as the area of the secondary (inner) surface:
#
# Area = 2 * pi * h * r, where h is the height of the cylinder.
#
# The integrated heat flux across the gap at time 1 is then:
#
# 2*pi*h*k*delta_T/(ln(r2/r1))
# 2*pi*1*1*100/(ln(2/1)) = 906.5 watts
#
# For comparison, see results from the integrated flux post processors.
# This simulation makes use of symmetry, so only 1/4 of the cylinders is meshed
# As such, the integrated flux from the post processors is 1/4 of the total,
# or 226.6 watts.
# The value coming from the post processor is slightly less than this
# but converges as mesh refinement increases.
# Note that the 2D and 3D results are the same.
#
# Simulating contact is challenging. Regression tests that exercise
# contact features can be difficult to solve consistently across multiple
# platforms. While designing these tests, we felt it worth while to note
# some aspects of these tests. The following applies to:
# sphere3D.i, sphere2DRZ.i, cyl2D.i, and cyl3D.i.
# 1. We decided that to perform consistently across multiple platforms we
# would use very small convergence tolerance. In this test we chose an
# nl_rel_tol of 1e-12.
# 2. Due to such a high value for thermal conductivity (used here so that the
# domains come to a uniform temperature) the integrated flux at time = 0
# was relatively large (the value coming from SideIntegralFlux =
#  -_diffusion_coef[_qp]*_grad_u[_qp]*_normals[_qp] where the diffusion coefficient
# here is thermal conductivity).
# Even though _grad_u[_qp] is small, in this case the diffusion coefficient
# is large. The result is a number that isn't exactly zero and tends to
# fail exodiff. For this reason the parameter execute_on = initial should not
# be used. That parameter is left to default settings in these regression tests.
#
[GlobalParams]
  order = SECOND
  family = LAGRANGE
[]


[Mesh]
  file = cyl2D.e
[]

[Functions]
  [./temp]
    type = PiecewiseLinear
    x = '0   1'
    y = '100 200'
  [../]
[]


[Variables]
  [./temp]
   initial_condition = 100
  [../]
[]

[AuxVariables]
  [./gap_conductance]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]


[Kernels]
  [./heat_conduction]
    type = HeatConduction
    variable = temp
  [../]
[]


[AuxKernels]
  [./gap_cond]
    type = MaterialRealAux
    property = gap_conductance
    variable = gap_conductance
    boundary = 2
  [../]
[]

[Materials]
  [./heat1]
    type = HeatConductionMaterial
    block = '1 2'
    specific_heat = 1.0
    thermal_conductivity = 1000000.0
  [../]
[]

[ThermalContact]
  [./thermal_contact]
    type = GapHeatTransfer
    variable = temp
    primary = 3
    secondary = 2
    emissivity_primary = 0
    emissivity_secondary = 0
    gap_conductivity = 1
    quadrature = true
    gap_geometry_type = CYLINDER
    cylinder_axis_point_1 = '0 0 0'
    cylinder_axis_point_2 = '0 0 1'
  [../]
[]

[BCs]
  [./mid]
    type = FunctionDirichletBC
    boundary = 1
    variable = temp
    function = temp
  [../]
  [./temp_far_right]
    type = DirichletBC
    boundary = 4
    variable = temp
    value = 100
  [../]
[]

[Executioner]
  type = Transient
  solve_type = 'PJFNK'

  petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
  petsc_options_value = 'lu       superlu_dist'

  dt = 1
  dtmin = 0.01
  end_time = 1

  nl_rel_tol = 1e-12
  nl_abs_tol = 1e-7

  [./Quadrature]
     order = fifth
     side_order = seventh
  [../]
[]

[Outputs]
  exodus = true
  [./Console]
    type = Console
  [../]
[]

[Postprocessors]
  [./temp_left]
    type = SideAverageValue
    boundary = 2
    variable = temp
  [../]

  [./temp_right]
    type = SideAverageValue
    boundary = 3
    variable = temp
  [../]

  [./flux_left]
    type = SideDiffusiveFluxIntegral
    variable = temp
    boundary = 2
    diffusivity = thermal_conductivity
  [../]

  [./flux_right]
    type = SideDiffusiveFluxIntegral
    variable = temp
    boundary = 3
    diffusivity = thermal_conductivity
  [../]
[]

(modules/solid_mechanics/test/tests/truss/truss_plastic.i)

[Mesh]
  type = GeneratedMesh
  dim = 1
  elem_type = EDGE
  nx = 1
[]

[GlobalParams]
  displacements = 'disp_x'
[]

[Variables]
  [./disp_x]
    order = FIRST
    family = LAGRANGE
  [../]
[]

[AuxVariables]
  [./axial_stress]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./e_over_l]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./area]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./react_x]
    order = FIRST
    family = LAGRANGE
  [../]
[]

[Functions]
  [./hf]
    type = PiecewiseLinear
    x = '0    0.0001  0.0003  0.0023'
    y = '50e6 52e6    54e6    56e6'
  [../]
[]

[BCs]
  [./fixx1]
    type = DirichletBC
    variable = disp_x
    boundary = left
    value = 0.0
  [../]
  [./load]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = right
    function = 't'
  [../]
[]

[AuxKernels]
  [./axial_stress]
    type = MaterialRealAux
    property = axial_stress
    variable = axial_stress
    execute_on = 'initial TIMESTEP_END'
  [../]
  [./e_over_l]
    type = MaterialRealAux
    property = e_over_l
    variable = e_over_l
    execute_on = 'initial TIMESTEP_END'
  [../]
  [./area]
    type = ConstantAux
    variable = area
    value = 1.0
    execute_on = 'initial timestep_begin'
  [../]
[]

[Postprocessors]
  [./s_xx]
    type = ElementIntegralMaterialProperty
    mat_prop = axial_stress
  [../]
  [./e_xx]
    type = ElementIntegralMaterialProperty
    mat_prop = total_stretch
  [../]
  [./ee_xx]
    type = ElementIntegralMaterialProperty
    mat_prop = elastic_stretch
  [../]
  [./ep_xx]
    type = ElementIntegralMaterialProperty
    mat_prop = plastic_stretch
  [../]
[]

[Executioner]
  type = Transient
  solve_type = 'PJFNK'
  petsc_options = '-snes_ksp_ew'
  petsc_options_iname = '-pc_type'
  petsc_options_value = 'lu'
  nl_abs_tol = 1e-11
  l_max_its = 20
  dt = 5e-5
  num_steps = 10
[]

[Kernels]
  [./solid]
    type = StressDivergenceTensorsTruss
    component = 0
    variable = disp_x
    area = area
    save_in = react_x
  [../]
[]

[Materials]
  [./truss]
    type = PlasticTruss
    youngs_modulus = 2.0e11
    yield_stress = 500e5
    outputs = 'exodus'
    output_properties = 'elastic_stretch hardening_variable plastic_stretch total_stretch'
  [../]
[]

[Outputs]
  exodus = true
[]

(test/tests/executioners/time_period/time_period_test.i)

[Mesh]
  type = GeneratedMesh
  dim = 2
  xmin = -1
  xmax = 1
  ymin = -1
  ymax = 1
  nx = 10
  ny = 10
  elem_type = QUAD4
[]

[Functions]
  [./exact_p1]
    type = ParsedFunction
    expression = t*((x*x)+(y*y))
  [../]
  [./ffn_p1]
    type = ParsedFunction
    expression = (x*x+y*y)-4*t
  [../]

  [./exact_p2]
    type = ParsedFunction
    expression = t*((x*x*x)+(y*y*y))
  [../]
  [./ffn_p2]
    type = ParsedFunction
    expression = (x*x*x+y*y*y)-6*t*(x+y)
  [../]
[]

[Variables]
  [./u]
    order = FIRST
    family = LAGRANGE
  [../]
[]

[Kernels]
  [./td]
    type = TimeDerivative
    variable = u
  [../]

  [./diff]
    type = Diffusion
    variable = u
  [../]

  [./ffn1]
    type = BodyForce
    variable = u
    function = ffn_p1
  [../]

  [./ffn2]
    type = BodyForce
    variable = u
    function = ffn_p2
  [../]
[]

[BCs]
  [./all1]
    type = FunctionDirichletBC
    variable = u
    boundary = '0 1 2 3'
    function = exact_p1
  [../]
  [./all2]
    type = FunctionDirichletBC
    variable = u
    boundary = '0 1 2 3'
    function = exact_p2
  [../]
[]

[Executioner]
  type = Transient
  start_time = 0
  dt = 0.1
  num_steps = 10
[]

[Controls]
  [./first_period]
    type = TimePeriod
    start_time = 0.0
    end_time = 0.45
    enable_objects = '*/ffn1 */all1'
    disable_objects = '*/ffn2 */all2'
    execute_on = 'initial timestep_begin'
    set_sync_times = true
  [../]
[]

[Outputs]
  exodus = true
[]

(modules/solid_mechanics/test/tests/initial_stress/mc_tensile.i)

# In this example, an initial stress is applied that
# is inadmissible, and the return-map algorithm must be
# used to return to the yield surface before any other
# computations can be carried out.
# In this case, the return-map algorithm must subdivide
# the initial stress, otherwise it does not converge.
# This test is testing that subdivision process.

[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]


[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
[]

[Kernels]
  [SolidMechanics]
    displacements = 'disp_x disp_y disp_z'
  [../]
[]


[BCs]
  [./bottomx]
    type = DirichletBC
    variable = disp_x
    boundary = 'back'
    value = 0.0
  [../]
  [./bottomy]
    type = DirichletBC
    variable = disp_y
    boundary = 'back'
    value = 0.0
  [../]
  [./bottomz]
    type = DirichletBC
    variable = disp_z
    boundary = 'back'
    value = 0.0
  [../]
  [./topx]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'front'
    function = '2*t-1'
  [../]
  [./topy]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'front'
    function = 't-1'
  [../]
  [./topz]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'front'
    function = 't-1'
  [../]
[]

[AuxVariables]
  [./stress_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./iter]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]

[AuxKernels]
  [./stress_xx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xx
    index_i = 0
    index_j = 0
  [../]
  [./stress_xy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xy
    index_i = 0
    index_j = 1
  [../]
  [./stress_xz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xz
    index_i = 0
    index_j = 2
  [../]
  [./stress_yy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yy
    index_i = 1
    index_j = 1
  [../]
  [./stress_yz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yz
    index_i = 1
    index_j = 2
  [../]
  [./stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zz
    index_i = 2
    index_j = 2
  [../]
  [./iter]
    type = MaterialRealAux
    property = plastic_NR_iterations
    variable = iter
  [../]
[]

[Postprocessors]
  [./s_xx]
    type = PointValue
    point = '0 0 0'
    variable = stress_xx
  [../]
  [./s_xy]
    type = PointValue
    point = '0 0 0'
    variable = stress_xy
  [../]
  [./s_xz]
    type = PointValue
    point = '0 0 0'
    variable = stress_xz
  [../]
  [./s_yy]
    type = PointValue
    point = '0 0 0'
    variable = stress_yy
  [../]
  [./s_yz]
    type = PointValue
    point = '0 0 0'
    variable = stress_yz
  [../]
  [./s_zz]
    type = PointValue
    point = '0 0 0'
    variable = stress_zz
  [../]
  [./iter]
    type = PointValue
    point = '0 0 0'
    variable = iter
    outputs = console
  [../]
[]

[UserObjects]
  [./mc_coh]
    type = SolidMechanicsHardeningConstant
    value = 1E5
  [../]
  [./mc_phi]
    type = SolidMechanicsHardeningConstant
    value = 60
    convert_to_radians = true
  [../]
  [./mc_psi]
    type = SolidMechanicsHardeningConstant
    value = 5
    convert_to_radians = true
  [../]
  [./mc]
    type = SolidMechanicsPlasticMohrCoulomb
    cohesion = mc_coh
    friction_angle = mc_phi
    dilation_angle = mc_psi
    mc_tip_smoother = 4.0
    mc_edge_smoother = 25
    yield_function_tolerance = 1E-3
    internal_constraint_tolerance = 1E-9
  [../]

  [./str]
    type = SolidMechanicsHardeningConstant
    value = 1
  [../]
  [./pt]
    type = SolidMechanicsPlasticTensile
    tensile_strength = str
    yield_function_tolerance = 1E-3
    tensile_tip_smoother = 0.05
    internal_constraint_tolerance = 1E-9
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    fill_method = symmetric_isotropic
    C_ijkl = '0 1E7'
  [../]
  [./strain]
    type = ComputeFiniteStrain
    displacements = 'disp_x disp_y disp_z'
    eigenstrain_names = ini_stress
  [../]
  [./ini_stress]
    type = ComputeEigenstrainFromInitialStress
    initial_stress = '8E6 4E6 -18E6 4E6 -40E6 -2E6 -18E6 -2E6 -34E6'
    eigenstrain_name = ini_stress
  [../]
  [./mc]
    type = ComputeMultiPlasticityStress
    ep_plastic_tolerance = 1E-9
    plastic_models = 'pt mc'
    deactivation_scheme = safe
    max_NR_iterations = 100
    min_stepsize = 0.1
  [../]
[]


[Executioner]
  end_time = 2
  dt = 1
  type = Transient
[]


[Outputs]
  file_base = mc_tensile
  exodus = false
  [./csv]
    type = CSV
    [../]
[]

(modules/solid_mechanics/test/tests/lagrangian/cartesian/total/planar/generalized_plane_strain/pull_3D.i)

nz = 1
z = '${fparse nz*0.2}'

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
  large_kinematics = true
  stabilize_strain = true
[]

[Mesh]
  [gmg]
    type = GeneratedMeshGenerator
    dim = 3
    nx = 5
    ny = 5
    nz = ${nz}
    zmax = ${z}
  []
  use_displaced_mesh = false
[]

[Variables]
  [disp_x]
  []
  [disp_y]
  []
  [disp_z]
  []
[]

[Kernels]
  [sdx]
    type = TotalLagrangianStressDivergence
    variable = disp_x
    component = 0
  []
  [sdy]
    type = TotalLagrangianStressDivergence
    variable = disp_y
    component = 1
  []
  [sdz]
    type = TotalLagrangianStressDivergence
    variable = disp_z
    component = 2
  []
[]

[BCs]
  [fix_x]
    type = DirichletBC
    boundary = 'top bottom'
    variable = disp_x
    value = 0
  []
  [fix_y]
    type = DirichletBC
    boundary = 'bottom'
    variable = disp_y
    value = 0
  []
  [fix_z]
    type = DirichletBC
    boundary = 'top bottom'
    variable = disp_z
    value = 0
  []
  [disp_y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'top'
    function = 't'
  []
[]

[Materials]
  [elastic_tensor]
    type = ComputeIsotropicElasticityTensor
    youngs_modulus = 1000.0
    poissons_ratio = 0.25
  []
  [strain]
    type = ComputeLagrangianStrain
  []
  [stress]
    type = ComputeLagrangianLinearElasticStress
  []
  [stress_zz]
    type = RankTwoCartesianComponent
    rank_two_tensor = cauchy_stress
    index_i = 2
    index_j = 2
    property_name = stress_zz
  []
  [strain_zz]
    type = RankTwoCartesianComponent
    rank_two_tensor = mechanical_strain
    index_i = 2
    index_j = 2
    property_name = strain_zz
  []
[]

[Executioner]
  type = Transient
  dt = 0.01
  end_time = 0.1

  solve_type = 'newton'
  petsc_options_iname = '-pc_type'
  petsc_options_value = 'lu'

  nl_abs_tol = 1e-8
  nl_rel_tol = 1e-6
[]

[Postprocessors]
  [strain_zz]
    type = ElementAverageMaterialProperty
    mat_prop = strain_zz
  []
  [stress_zz]
    type = ElementAverageMaterialProperty
    mat_prop = stress_zz
  []
[]

[Outputs]
  csv = true
  file_base = 'pull_3D_nz_${nz}'
[]

(test/tests/mesh/mesh_generation/disc_sector.i)

# Generates a sector of a Disc Mesh between angle=Pi/4 and angle=3Pi/4
# Radius of outside circle=5
# Solves the diffusion equation with u=-5 at origin, and u=0 on outside
# as well as u=-5+r at angle=Pi/4 and u=-5+r^4/125 at angle=3Pi/4

[Mesh]
  type = AnnularMesh
  nr = 10
  nt = 12
  rmin = 0
  rmax = 5
  dmin = 45
  dmax = 135
  growth_r = 1.3
[]

[Variables]
  [./u]
  [../]
[]

[Kernels]
  [./diff]
    type = Diffusion
    variable = u
  [../]
[]

[BCs]
  [./inner]
    type = DirichletBC
    variable = u
    value = -5.0
    boundary = rmin
  [../]
  [./outer]
    type = FunctionDirichletBC
    variable = u
    function = 0
    boundary = rmax
  [../]
  [./tmin]
    type = FunctionDirichletBC
    variable = u
    function = '-5.0+sqrt(x*x + y*y)'
    boundary = dmin
  [../]
  [./tmax]
    type = FunctionDirichletBC
    variable = u
    function = '-5.0+pow(x*x + y*y, 2)/125'
    boundary = dmax
  [../]
[]

[Executioner]
  type = Steady
  solve_type = PJFNK
[]

[Outputs]
  exodus = true
[]

(test/tests/time_integrators/dirk/dirk-2d-heat-adap.i)

[Mesh]
  type = GeneratedMesh
  dim  = 2
  xmin = -1
  xmax = 1
  ymin = -1
  ymax = 1
  nx   = 4
  ny   = 4
  elem_type = QUAD4
[]

[Variables]
  active = 'u'

  [./u]
    order = FIRST
    family = LAGRANGE

    [./InitialCondition]
      type = ConstantIC
      value = 0
    [../]
  [../]
[]

[Functions]
  [./forcing_fn]
    type = ParsedFunction
    expression = 3*t*t*((x*x)+(y*y))-(4*t*t*t)
  [../]

  [./exact_fn]
    type = ParsedFunction
    expression = t*t*t*((x*x)+(y*y))
  [../]
[]

[Kernels]
  active = 'diff ie ffn'

  [./ie]
    type = TimeDerivative
    variable = u
  [../]

  [./diff]
    type = Diffusion
    variable = u
  [../]

  [./ffn]
    type = BodyForce
    variable = u
    function = forcing_fn
  [../]
[]

[BCs]
  active = 'all'

  [./all]
    type = FunctionDirichletBC
    variable = u
    boundary = '0 1 2 3'
    function = exact_fn
  [../]

  [./left]
    type = DirichletBC
    variable = u
    boundary = 3
    value    = 0
  [../]

  [./right]
    type = DirichletBC
    variable = u
    boundary = 1
    value    = 1
  [../]
[]

[Postprocessors]
  [./l2_err]
    type = ElementL2Error
    variable = u
    function = exact_fn
  [../]
[]

[Executioner]
  type = Transient

  solve_type = 'PJFNK'
  petsc_options_iname = '-pc_type -pc_hypre_type'
  petsc_options_value = 'hypre boomeramg'

  start_time = 0.0
  num_steps  = 5
  dt         = 0.25

  [./TimeIntegrator]
    type = LStableDirk2
  [../]

  [./Adaptivity]
    refine_fraction  = 0.07
    coarsen_fraction = 0.
    max_h_level      = 4
  [../]
[]

[Outputs]
  execute_on = 'timestep_end'
  exodus = true
[]

(modules/combined/test/tests/phase_field_fracture/crack2d_aniso_hist_false.i)

#This input uses PhaseField-Nonconserved Action to add phase field fracture bulk rate kernels
[Mesh]
  [gen]
    type = GeneratedMeshGenerator
    dim = 2
    nx = 40
    ny = 20
    ymax = 0.5
  []
  [./noncrack]
    type = BoundingBoxNodeSetGenerator
    new_boundary = noncrack
    bottom_left = '0.5 0 0'
    top_right = '1 0 0'
    input = gen
  [../]
[]

[GlobalParams]
  displacements = 'disp_x disp_y'
[]

[Physics]
  [./SolidMechanics]
    [./QuasiStatic]
      [./All]
        add_variables = true
        strain = SMALL
        additional_generate_output = 'strain_yy stress_yy'
        planar_formulation = PLANE_STRAIN
      [../]
    [../]
  [../]
[]
[Modules]
  [./PhaseField]
    [./Nonconserved]
      [./c]
        free_energy = F
        kappa = kappa_op
        mobility = L
      [../]
    [../]
  [../]
[]

[Kernels]
  [./solid_x]
    type = PhaseFieldFractureMechanicsOffDiag
    variable = disp_x
    component = 0
    c = c
  [../]
  [./solid_y]
    type = PhaseFieldFractureMechanicsOffDiag
    variable = disp_y
    component = 1
    c = c
  [../]
[]

[BCs]
  [./ydisp]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = top
    function = 't'
  [../]
  [./yfix]
    type = DirichletBC
    variable = disp_y
    boundary = noncrack
    value = 0
  [../]
  [./xfix]
    type = DirichletBC
    variable = disp_x
    boundary = right
    value = 0
  [../]
[]

[Materials]
  [./pfbulkmat]
    type = GenericConstantMaterial
    prop_names = 'gc_prop l visco'
    prop_values = '1e-3 0.05 1e-6'
  [../]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    C_ijkl = '127.0 70.8 70.8 127.0 70.8 127.0 73.55 73.55 73.55'
    fill_method = symmetric9
    euler_angle_1 = 30
    euler_angle_2 = 0
    euler_angle_3 = 0
  [../]
  [./define_mobility]
    type = ParsedMaterial
    material_property_names = 'gc_prop visco'
    property_name = L
    expression = '1.0/(gc_prop * visco)'
  [../]
  [./define_kappa]
    type = ParsedMaterial
    material_property_names = 'gc_prop l'
    property_name = kappa_op
    expression = 'gc_prop * l'
  [../]
  [./damage_stress]
    type = ComputeLinearElasticPFFractureStress
    c = c
    E_name = 'elastic_energy'
    D_name = 'degradation'
    F_name = 'local_fracture_energy'
    decomposition_type = stress_spectral
  [../]
  [./degradation]
    type = DerivativeParsedMaterial
    property_name = degradation
    coupled_variables = 'c'
    expression = '(1.0-c)^2*(1.0 - eta) + eta'
    constant_names       = 'eta'
    constant_expressions = '1.0e-6'
    derivative_order = 2
  [../]
  [./local_fracture_energy]
    type = DerivativeParsedMaterial
    property_name = local_fracture_energy
    coupled_variables = 'c'
    material_property_names = 'gc_prop l'
    expression = 'c^2 * gc_prop / 2 / l'
    derivative_order = 2
  [../]
  [./fracture_driving_energy]
    type = DerivativeSumMaterial
    coupled_variables = c
    sum_materials = 'elastic_energy local_fracture_energy'
    derivative_order = 2
    property_name = F
  [../]
[]

[Postprocessors]
  [./av_stress_yy]
    type = ElementAverageValue
    variable = stress_yy
  [../]
  [./av_strain_yy]
    type = SideAverageValue
    variable = disp_y
    boundary = top
  [../]
[]

[Preconditioning]
  [./smp]
    type = SMP
    full = true
  [../]
[]

[Executioner]
  type = Transient

  solve_type = PJFNK
  petsc_options_iname = '-pc_type -pc_factor_mat_solving_package'
  petsc_options_value = 'lu superlu_dist'

  nl_rel_tol = 1e-8
  l_tol = 1e-4
  l_max_its = 100
  nl_max_its = 10

  dt = 2e-6
  num_steps = 5
[]

[Outputs]
  exodus = true
[]

(modules/xfem/test/tests/mesh_cut_2D_fracture/edge_crack_2d_propagation.i)

[GlobalParams]
  displacements = 'disp_x disp_y'
  volumetric_locking_correction = true
[]

[XFEM]
  geometric_cut_userobjects = 'cut_mesh2'
  qrule = volfrac
  output_cut_plane = true
[]

[Mesh]
  [gen]
    type = GeneratedMeshGenerator
    dim = 2
    nx = 45
    ny = 15
    xmin = -1
    xmax = 0.49
    ymin = 0.0
    ymax = 1.0
    elem_type = QUAD4
  []
  [dispBlock]
    type = BoundingBoxNodeSetGenerator
    new_boundary = pull_set
    bottom_left = '-0.1 0.99 0'
    top_right = '0.1 1.01 0'
    input = gen
  []
[]

[DomainIntegral]
  integrals = 'Jintegral InteractionIntegralKI InteractionIntegralKII'
  displacements = 'disp_x disp_y'
  crack_front_points_provider = cut_mesh2
  2d = true
  number_points_from_provider = 2
  crack_direction_method = CurvedCrackFront
  radius_inner = '0.15'
  radius_outer = '0.45'
  poissons_ratio = 0.3
  youngs_modulus = 207000
  block = 0
  incremental = true
[]

[Physics/SolidMechanics/QuasiStatic]
  [all]
    strain = SMALL
    incremental = true
    planar_formulation = plane_strain
    add_variables = true
    generate_output = 'stress_xx stress_yy'
  []
[]

[Functions]
  [pull_func]
    type = ParsedFunction
    expression = 0.00025*(1+t)
  []
[]

[BCs]
  [top_y]
    type = FunctionDirichletBC
    boundary = pull_set
    variable = disp_y
    function = pull_func
  []
  [bottom_x]
    type = DirichletBC
    boundary = bottom
    variable = disp_x
    value = 0.0
  []
  [bottom_y]
    type = DirichletBC
    boundary = bottom
    variable = disp_y
    value = 0.0
  []
[]

[Materials]
  [elasticity_tensor]
    type = ComputeIsotropicElasticityTensor
    youngs_modulus = 207000
    poissons_ratio = 0.3
  []
  [stress]
    type = ComputeFiniteStrainElasticStress
  []
[]

[Executioner]
  type = Transient
  solve_type = 'NEWTON'
  petsc_options_iname = '-pc_type -pc_factor_mat_solver_package -pc_factor_shift_type -pc_factor_shift_amount'
  petsc_options_value = ' lu       superlu_dist                 NONZERO               1e-20'
  line_search = 'none'
  nl_abs_tol = 1e-7
  [Predictor]
    type = SimplePredictor
    scale = 1.0
  []
  # time control
  start_time = 0.0
  dt = 1.0
  end_time = 3
  max_xfem_update = 100
[]

[Outputs]
  [xfemcutter]
    type = XFEMCutMeshOutput
    xfem_cutter_uo = cut_mesh2
  []
  [console]
    type = Console
    output_linear = false
    output_nonlinear = false
  []
[]

(modules/solid_mechanics/test/tests/notched_plastic_block/biaxial_abbo.i)

# Uses an Abbo et al smoothed version of Mohr-Coulomb (via SolidMechanicsPlasticMohrCoulomb and ComputeMultiPlasticityStress) to simulate the following problem.
# A cubical block is notched around its equator.
# All of its outer surfaces have roller BCs, but the notched region is free to move as needed
# The block is initialised with a high hydrostatic tensile stress
# Without the notch, the BCs do not allow contraction of the block, and this stress configuration is admissible
# With the notch, however, the interior parts of the block are free to move in order to relieve stress, and this causes plastic failure
# The top surface is then pulled upwards (the bottom is fixed because of the roller BCs)
# This causes more failure
[Mesh]
  [generated_mesh]
    type = GeneratedMeshGenerator
    dim = 3
    nx = 9
    ny = 9
    nz = 9
    xmin = 0
    xmax = 0.1
    ymin = 0
    ymax = 0.1
    zmin = 0
    zmax = 0.1
  []
  [block_to_remove_xmin]
    type = SubdomainBoundingBoxGenerator
    bottom_left = '-0.01 -0.01 0.045'
    top_right = '0.01 0.11 0.055'
    location = INSIDE
    block_id = 1
    input = generated_mesh
  []
  [block_to_remove_xmax]
    type = SubdomainBoundingBoxGenerator
    bottom_left = '0.09 -0.01 0.045'
    top_right = '0.11 0.11 0.055'
    location = INSIDE
    block_id = 1
    input = block_to_remove_xmin
  []
  [block_to_remove_ymin]
    type = SubdomainBoundingBoxGenerator
    bottom_left = '-0.01 -0.01 0.045'
    top_right = '0.11 0.01 0.055'
    location = INSIDE
    block_id = 1
    input = block_to_remove_xmax
  []
  [block_to_remove_ymax]
    type = SubdomainBoundingBoxGenerator
    bottom_left = '-0.01 0.09 0.045'
    top_right = '0.11 0.11 0.055'
    location = INSIDE
    block_id = 1
    input = block_to_remove_ymin
  []
  [remove_block]
    type = BlockDeletionGenerator
    block = 1
    input = block_to_remove_ymax
  []
[]

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]

[Physics/SolidMechanics/QuasiStatic]
  [./all]
    add_variables = true
    incremental = true
    generate_output = 'max_principal_stress mid_principal_stress min_principal_stress stress_zz'
    eigenstrain_names = ini_stress
  [../]
[]

[Postprocessors]
  [./uz]
    type = PointValue
    point = '0 0 0.1'
    use_displaced_mesh = false
    variable = disp_z
  [../]
  [./s_zz]
    type = ElementAverageValue
    use_displaced_mesh = false
    variable = stress_zz
  [../]
  [./num_res]
    type = NumResidualEvaluations
  [../]
  [./nr_its] # num_iters is the average number of NR iterations encountered per element in this timestep
    type = ElementAverageValue
    variable = num_iters
  [../]
  [./max_nr_its] # num_iters is the average number of NR iterations encountered in the element in this timestep, so we must get max(max_nr_its) to obtain the max number of iterations
    type = ElementExtremeValue
    variable = num_iters
  [../]
  [./runtime]
    type = PerfGraphData
    data_type = TOTAL
    section_name = 'Root'
  [../]
[]

[BCs]
  # back=zmin, front=zmax, bottom=ymin, top=ymax, left=xmin, right=xmax
  [./xmin_xzero]
    type = DirichletBC
    variable = disp_x
    boundary = left
    value = 0.0
  [../]
  [./xmax_xzero]
    type = DirichletBC
    variable = disp_x
    boundary = right
    value = 0.0
  [../]
  [./ymin_yzero]
    type = DirichletBC
    variable = disp_y
    boundary = bottom
    value = 0.0
  [../]
  [./ymax_yzero]
    type = DirichletBC
    variable = disp_y
    boundary = top
    value = 0.0
  [../]
  [./zmin_zzero]
    type = DirichletBC
    variable = disp_z
    boundary = back
    value = '0'
  [../]
  [./zmax_disp]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = front
    function = '1E-6*max(t,0)'
  [../]
[]

[AuxVariables]
  [./mc_int]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./num_iters]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./yield_fcn]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]

[AuxKernels]
  [./mc_int_auxk]
    type = MaterialStdVectorAux
    index = 0
    property = plastic_internal_parameter
    variable = mc_int
  [../]
  [./num_iters_auxk]
    type = MaterialRealAux
    property = plastic_NR_iterations
    variable = num_iters
  [../]
  [./yield_fcn_auxk]
    type = MaterialStdVectorAux
    index = 0
    property = plastic_yield_function
    variable = yield_fcn
  [../]
[]

[UserObjects]
  [./mc_coh]
    type = SolidMechanicsHardeningConstant
    value = 5E6
  [../]
  [./mc_phi]
    type = SolidMechanicsHardeningConstant
    value = 35
    convert_to_radians = true
  [../]
  [./mc_psi]
    type = SolidMechanicsHardeningConstant
    value = 10
    convert_to_radians = true
  [../]
  [./mc]
    type = SolidMechanicsPlasticMohrCoulomb
    cohesion = mc_coh
    friction_angle = mc_phi
    dilation_angle = mc_psi
    mc_tip_smoother = 0.02E6
    mc_edge_smoother = 29
    yield_function_tolerance = 1E-5
    internal_constraint_tolerance = 1E-11
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeIsotropicElasticityTensor
    youngs_modulus = 16E9
    poissons_ratio = 0.25
  [../]
  [./mc]
    type = ComputeMultiPlasticityStress
    ep_plastic_tolerance = 1E-11
    plastic_models = mc
    max_NR_iterations = 1000
    debug_fspb = crash
  [../]
  [./strain_from_initial_stress]
    type = ComputeEigenstrainFromInitialStress
    initial_stress = '6E6 0 0  0 6E6 0  0 0 6E6'
    eigenstrain_name = ini_stress
  [../]
[]

[Preconditioning]
  [./andy]
    type = SMP
    full = true
  [../]
[]

[Executioner]
  start_time = -1
  end_time = 10
  dt = 1
  solve_type = NEWTON
  type = Transient

  l_tol = 1E-2
  nl_abs_tol = 1E-5
  nl_rel_tol = 1E-7
  l_max_its = 200
  nl_max_its = 400

  petsc_options_iname = '-pc_type -pc_asm_overlap -sub_pc_type -ksp_type -ksp_gmres_restart'
  petsc_options_value = ' asm      2              lu            gmres     200'
[]


[Outputs]
  file_base = biaxial_abbo
  perf_graph = true
  exodus = false
  csv = true
[]

(modules/peridynamics/test/tests/heat_conduction/2D_steady_state_BPD.i)

# This test solves a 2D steady state heat equation
# The error is found by comparing to the analytical solution

[Mesh]
  type = PeridynamicsMesh
  horizon_number = 3

  [./gmg]
    type = GeneratedMeshGenerator
    dim = 2
    nx = 10
    ny = 10
  [../]
  [./gpd]
    type = MeshGeneratorPD
    input = gmg
    retain_fe_mesh = false
  [../]
[]

[Variables]
  [./temp]
  [../]
[]

[AuxVariables]
  [./bond_status]
    order = CONSTANT
    family = MONOMIAL
    initial_condition = 1
  [../]
[]

[Functions]
  [./analytical_sol]
    type = ParsedFunction
    expression = 'x*x+y*y'
  [../]
[]

[Kernels]
  [./heat_conduction]
    type = HeatConductionBPD
    variable = temp
  [../]
  [./heat_source]
    type = HeatSourceBPD
    variable = temp
    power_density = -4
  [../]
[]

[BCs]
  [./left]
    type = FunctionDirichletBC
    variable = temp
    boundary = 1003
    function = analytical_sol
  [../]
  [./bottom]
    type = FunctionDirichletBC
    variable = temp
    boundary = 1000
    function = analytical_sol
  [../]
  [./right]
    type = FunctionDirichletBC
    variable = temp
    boundary = 1001
    function = analytical_sol
  [../]
  [./top]
    type = FunctionDirichletBC
    variable = temp
    boundary = 1002
    function = analytical_sol
  [../]
[]

[Materials]
  [./thermal_mat]
    type = ThermalConstantHorizonMaterialBPD
    temperature = temp
    thermal_conductivity = 1
  [../]
[]

[Postprocessors]
  [./nodal_error]
    type = NodalL2Error
    function = 'analytical_sol'
    variable = temp
  [../]
[]

[Preconditioning]
  [./SMP]
    type = SMP
    full = true
  [../]
[]

[Executioner]
  type = Transient
  solve_type = PJFNK

  start_time = 0.0
  end_time = 1.0
[]

[Outputs]
  exodus = true
  file_base = 2D_steady_state_BPD
[]

(modules/porous_flow/test/tests/poro_elasticity/mandel.i)

# Mandel's problem of consolodation of a drained medium
#
# A sample is in plane strain.
# -a <= x <= a
# -b <= y <= b
# It is squashed with constant force by impermeable, frictionless plattens on its top and bottom surfaces (at y=+/-b)
# Fluid is allowed to leak out from its sides (at x=+/-a)
# The porepressure within the sample is monitored.
#
# As is common in the literature, this is simulated by
# considering the quarter-sample, 0<=x<=a and 0<=y<=b, with
# impermeable, roller BCs at x=0 and y=0 and y=b.
# Porepressure is fixed at zero on x=a.
# Porepressure and displacement are initialised to zero.
# Then the top (y=b) is moved downwards with prescribed velocity,
# so that the total force that is inducing this downwards velocity
# is fixed.  The velocity is worked out by solving Mandel's problem
# analytically, and the total force is monitored in the simulation
# to check that it indeed remains constant.
#
# Here are the problem's parameters, and their values:
# Soil width.  a = 1
# Soil height.  b = 0.1
# Soil's Lame lambda.  la = 0.5
# Soil's Lame mu, which is also the Soil's shear modulus.  mu = G = 0.75
# Soil bulk modulus.  K = la + 2*mu/3 = 1
# Drained Poisson ratio.  nu = (3K - 2G)/(6K + 2G) = 0.2
# Soil bulk compliance.  1/K = 1
# Fluid bulk modulus.  Kf = 8
# Fluid bulk compliance.  1/Kf = 0.125
# Soil initial porosity.  phi0 = 0.1
# Biot coefficient.  alpha = 0.6
# Biot modulus.  M = 1/(phi0/Kf + (alpha - phi0)(1 - alpha)/K) = 4.705882
# Undrained bulk modulus. Ku = K + alpha^2*M = 2.694118
# Undrained Poisson ratio.  nuu = (3Ku - 2G)/(6Ku + 2G) = 0.372627
# Skempton coefficient.  B = alpha*M/Ku = 1.048035
# Fluid mobility (soil permeability/fluid viscosity).  k = 1.5
# Consolidation coefficient.  c = 2*k*B^2*G*(1-nu)*(1+nuu)^2/9/(1-nuu)/(nuu-nu) = 3.821656
# Normal stress on top.  F = 1
#
# The solution for porepressure and displacements is given in
# AHD Cheng and E Detournay "A direct boundary element method for plane strain poroelasticity" International Journal of Numerical and Analytical Methods in Geomechanics 12 (1988) 551-572.
# The solution involves complicated infinite series, so I shall not write it here
#
# FINAL NOTE: The above solution assumes constant Biot Modulus.
# In porous_flow this is not true.  Therefore the solution is
# a little different than in the paper.  This test was therefore
# validated against MOOSE's poromechanics, which can choose either
# a constant Biot Modulus (which has been shown to agree with
# the analytic solution), or a non-constant Biot Modulus (which
# gives the same results as porous_flow).

[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 10
  ny = 1
  nz = 1
  xmin = 0
  xmax = 1
  ymin = 0
  ymax = 0.1
  zmin = 0
  zmax = 1
[]

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
  PorousFlowDictator = dictator
  block = 0
[]

[UserObjects]
  [dictator]
    type = PorousFlowDictator
    porous_flow_vars = 'porepressure disp_x disp_y disp_z'
    number_fluid_phases = 1
    number_fluid_components = 1
  []
  [pc]
    type = PorousFlowCapillaryPressureVG
    m = 0.8
    alpha = 1e-5
  []
[]

[Variables]
  [disp_x]
  []
  [disp_y]
  []
  [disp_z]
  []
  [porepressure]
  []
[]

[BCs]
  [roller_xmin]
    type = DirichletBC
    variable = disp_x
    value = 0
    boundary = 'left'
  []
  [roller_ymin]
    type = DirichletBC
    variable = disp_y
    value = 0
    boundary = 'bottom'
  []
  [plane_strain]
    type = DirichletBC
    variable = disp_z
    value = 0
    boundary = 'back front'
  []
  [xmax_drained]
    type = DirichletBC
    variable = porepressure
    value = 0
    boundary = right
  []
  [top_velocity]
    type = FunctionDirichletBC
    variable = disp_y
    function = top_velocity
    boundary = top
  []
[]

[Functions]
  [top_velocity]
    type = PiecewiseLinear
    x = '0 0.002 0.006   0.014   0.03    0.046   0.062   0.078   0.094   0.11    0.126   0.142   0.158   0.174   0.19 0.206 0.222 0.238 0.254 0.27 0.286 0.302 0.318 0.334 0.35 0.366 0.382 0.398 0.414 0.43 0.446 0.462 0.478 0.494 0.51 0.526 0.542 0.558 0.574 0.59 0.606 0.622 0.638 0.654 0.67 0.686 0.702'
    y = '-0.041824842    -0.042730269    -0.043412712    -0.04428867     -0.045509181    -0.04645965     -0.047268246 -0.047974749      -0.048597109     -0.0491467  -0.049632388     -0.050061697      -0.050441198     -0.050776675     -0.051073238      -0.0513354 -0.051567152      -0.051772022     -0.051953128 -0.052113227 -0.052254754 -0.052379865 -0.052490464 -0.052588233 -0.052674662 -0.052751065 -0.052818606 -0.052878312 -0.052931093 -0.052977751 -0.053018997 -0.053055459 -0.053087691 -0.053116185 -0.053141373 -0.05316364 -0.053183324 -0.053200724 -0.053216106 -0.053229704 -0.053241725 -0.053252351 -0.053261745 -0.053270049 -0.053277389 -0.053283879 -0.053289615'
  []
[]

[AuxVariables]
  [stress_yy]
    order = CONSTANT
    family = MONOMIAL
  []
  [tot_force]
    order = CONSTANT
    family = MONOMIAL
  []
[]

[AuxKernels]
  [stress_yy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yy
    index_i = 1
    index_j = 1
  []
  [tot_force]
    type = ParsedAux
    coupled_variables = 'stress_yy porepressure'
    execute_on = timestep_end
    variable = tot_force
    expression = '-stress_yy+0.6*porepressure'
  []
[]

[Kernels]
  [grad_stress_x]
    type = StressDivergenceTensors
    variable = disp_x
    component = 0
  []
  [grad_stress_y]
    type = StressDivergenceTensors
    variable = disp_y
    component = 1
  []
  [grad_stress_z]
    type = StressDivergenceTensors
    variable = disp_z
    component = 2
  []
  [poro_x]
    type = PorousFlowEffectiveStressCoupling
    biot_coefficient = 0.6
    variable = disp_x
    component = 0
  []
  [poro_y]
    type = PorousFlowEffectiveStressCoupling
    biot_coefficient = 0.6
    variable = disp_y
    component = 1
  []
  [poro_z]
    type = PorousFlowEffectiveStressCoupling
    biot_coefficient = 0.6
    component = 2
    variable = disp_z
  []
  [poro_vol_exp]
    type = PorousFlowMassVolumetricExpansion
    variable = porepressure
    fluid_component = 0
  []
  [mass0]
    type = PorousFlowMassTimeDerivative
    fluid_component = 0
    variable = porepressure
  []
  [flux]
    type = PorousFlowAdvectiveFlux
    variable = porepressure
    gravity = '0 0 0'
    fluid_component = 0
  []
[]

[FluidProperties]
  [simple_fluid]
    type = SimpleFluidProperties
    bulk_modulus = 8
    density0 = 1
    thermal_expansion = 0
    viscosity = 1
  []
[]

[Materials]
  [temperature]
    type = PorousFlowTemperature
  []
  [elasticity_tensor]
    type = ComputeElasticityTensor
    C_ijkl = '0.5 0.75'
    # bulk modulus is lambda + 2*mu/3 = 0.5 + 2*0.75/3 = 1
    fill_method = symmetric_isotropic
  []
  [strain]
    type = ComputeSmallStrain
  []
  [stress]
    type = ComputeLinearElasticStress
  []
  [eff_fluid_pressure]
    type = PorousFlowEffectiveFluidPressure
  []
  [vol_strain]
    type = PorousFlowVolumetricStrain
  []
  [ppss]
    type = PorousFlow1PhaseP
    porepressure = porepressure
    capillary_pressure = pc
  []
  [massfrac]
    type = PorousFlowMassFraction
  []
  [simple_fluid]
    type = PorousFlowSingleComponentFluid
    fp = simple_fluid
    phase = 0
  []
  [porosity]
    type = PorousFlowPorosity
    fluid = true
    mechanical = true
    ensure_positive = false
    porosity_zero = 0.1
    biot_coefficient = 0.6
    solid_bulk = 1
  []
  [permeability]
    type = PorousFlowPermeabilityConst
    permeability = '1.5 0 0   0 1.5 0   0 0 1.5'
  []
  [relperm]
    type = PorousFlowRelativePermeabilityCorey
    n = 0 # unimportant in this fully-saturated situation
    phase = 0
  []
[]

[Postprocessors]
  [p0]
    type = PointValue
    outputs = csv
    point = '0.0 0 0'
    variable = porepressure
  []
  [p1]
    type = PointValue
    outputs = csv
    point = '0.1 0 0'
    variable = porepressure
  []
  [p2]
    type = PointValue
    outputs = csv
    point = '0.2 0 0'
    variable = porepressure
  []
  [p3]
    type = PointValue
    outputs = csv
    point = '0.3 0 0'
    variable = porepressure
  []
  [p4]
    type = PointValue
    outputs = csv
    point = '0.4 0 0'
    variable = porepressure
  []
  [p5]
    type = PointValue
    outputs = csv
    point = '0.5 0 0'
    variable = porepressure
  []
  [p6]
    type = PointValue
    outputs = csv
    point = '0.6 0 0'
    variable = porepressure
  []
  [p7]
    type = PointValue
    outputs = csv
    point = '0.7 0 0'
    variable = porepressure
  []
  [p8]
    type = PointValue
    outputs = csv
    point = '0.8 0 0'
    variable = porepressure
  []
  [p9]
    type = PointValue
    outputs = csv
    point = '0.9 0 0'
    variable = porepressure
  []
  [p99]
    type = PointValue
    outputs = csv
    point = '1 0 0'
    variable = porepressure
  []
  [xdisp]
    type = PointValue
    outputs = csv
    point = '1 0.1 0'
    variable = disp_x
  []
  [ydisp]
    type = PointValue
    outputs = csv
    point = '1 0.1 0'
    variable = disp_y
  []
  [total_downwards_force]
     type = ElementAverageValue
     outputs = csv
     variable = tot_force
  []
  [dt]
    type = FunctionValuePostprocessor
    outputs = console
    function = if(0.15*t<0.01,0.15*t,0.01)
  []
[]


[Preconditioning]
  [andy]
    type = SMP
    full = true
    petsc_options_iname = '-ksp_type -pc_type -sub_pc_type -snes_atol -snes_rtol -snes_max_it'
    petsc_options_value = 'gmres asm lu 1E-14 1E-10 10000'
  []
[]

[Executioner]
  type = Transient
  solve_type = Newton
  start_time = 0
  end_time = 0.7
  [TimeStepper]
    type = PostprocessorDT
    postprocessor = dt
    dt = 0.001
  []
[]

[Outputs]
  execute_on = 'timestep_end'
  file_base = mandel
  [csv]
    time_step_interval = 3
    type = CSV
  []
[]

(modules/solid_mechanics/test/tests/umat/orient_umat/shear_top_umat.i)

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
  decomposition_method = HughesWinget
[]

[Mesh]
  [gen]
    type = GeneratedMeshGenerator
    dim = 3
    xmin = -0.5
    xmax = 0.5
    ymin = -0.5
    ymax = 0.5
    zmin = -0.5
    zmax = 0.5
    elem_type = HEX20
  []
[]

[Functions]
  [top_pull]
    type = ParsedFunction
    expression = t/1000
  []
[]

[Physics/SolidMechanics/QuasiStatic]
  [all]
    add_variables = true
    strain = FINITE
    generate_output = 'stress_xx stress_yy stress_xy'
  []
[]

[BCs]
  [x_pull]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = top
    function = top_pull
  []
  [x_bot]
    type = DirichletBC
    variable = disp_x
    boundary = bottom
    value = 0.0
  []
  [y_bot]
    type = DirichletBC
    variable = disp_y
    boundary = bottom
    value = 0.0
  []
  [z_bot]
    type = DirichletBC
    variable = disp_z
    boundary = bottom
    value = 0.0
  []
[]

[Materials]
  [umat]
    type = AbaqusUMATStress
    constant_properties = '1000 0.3'
    plugin = '../../../plugins/elastic_print'
    num_state_vars = 0
    use_one_based_indexing = true
    use_displaced_mesh = true
  []
[]

[Executioner]
  type = Transient
  solve_type = 'PJFNK'

  petsc_options = '-snes_ksp_ew'
  petsc_options_iname = '-ksp_gmres_restart'
  petsc_options_value = '101'

  line_search = 'none'

  l_max_its = 100
  nl_max_its = 100
  nl_rel_tol = 1e-12
  nl_abs_tol = 1e-10
  l_tol = 1e-9
  start_time = 0.0
  end_time = 5

  dt = 1.0
[]

[Preconditioning]
  [smp]
    type = SMP
    full = true
  []
[]

[Outputs]
  exodus = true
[]

(modules/solid_mechanics/test/tests/dynamics/wave_1D/wave_rayleigh_hht_ti.i)

# Wave propogation in 1D using HHT time integration in the presence of Rayleigh damping
#
# The test is for an 1D bar element of length 4m  fixed on one end
# with a sinusoidal pulse dirichlet boundary condition applied to the other end.
# alpha, beta and gamma are HHT  time integration parameters
# eta and zeta are mass dependent and stiffness dependent Rayleigh damping
# coefficients, respectively.
# The equation of motion in terms of matrices is:
#
# M*accel + (eta*M+zeta*K)*((1+alpha)*vel-alpha*vel_old)
# +(1+alpha)*K*disp-alpha*K*disp_old = 0
#
# Here M is the mass matrix, K is the stiffness matrix
#
# The displacement at the first, second, third and fourth node at t = 0.1 are
# -7.787499960311491942e-02, 1.955566679096475483e-02 and -4.634888180231294501e-03, respectively.

[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 4
  nz = 1
  xmin = 0.0
  xmax = 0.1
  ymin = 0.0
  ymax = 4.0
  zmin = 0.0
  zmax = 0.1
[]


[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
[]

[AuxVariables]
  [./vel_x]
  [../]
  [./accel_x]
  [../]
  [./vel_y]
  [../]
  [./accel_y]
  [../]
  [./vel_z]
  [../]
  [./accel_z]
  [../]
[]

[Kernels]
  [./DynamicSolidMechanics]
    displacements = 'disp_x disp_y disp_z'
    hht_alpha = -0.3
    stiffness_damping_coefficient = 0.1
  [../]
  [./inertia_x]
    type = InertialForce
    variable = disp_x
    eta=0.1
    alpha = -0.3
  [../]
  [./inertia_y]
    type = InertialForce
    variable = disp_y
    eta=0.1
    alpha = -0.3
  [../]
  [./inertia_z]
    type = InertialForce
    variable = disp_z
    eta = 0.1
    alpha = -0.3
  [../]

[]

[AuxKernels]
  [./accel_x] # These auxkernels are only to check output
    type = TestNewmarkTI
    displacement = disp_x
    variable = accel_x
    first = false
  [../]
  [./accel_y]
    type = TestNewmarkTI
    displacement = disp_y
    variable = accel_y
    first = false
  [../]
  [./accel_z]
    type = TestNewmarkTI
    displacement = disp_z
    variable = accel_z
    first = false
  [../]
  [./vel_x]
    type = TestNewmarkTI
    displacement = disp_x
    variable = vel_x
  [../]
  [./vel_y]
    type = TestNewmarkTI
    displacement = disp_y
    variable = vel_y
  [../]
  [./vel_z]
    type = TestNewmarkTI
    displacement = disp_z
    variable = vel_z
  [../]
[]


[BCs]
  [./top_y]
    type = DirichletBC
    variable = disp_y
    boundary = top
    value=0.0
  [../]
  [./top_x]
   type = DirichletBC
    variable = disp_x
    boundary = top
    value=0.0
  [../]
  [./top_z]
    type = DirichletBC
    variable = disp_z
    boundary = top
    value=0.0
  [../]
  [./right_x]
    type = DirichletBC
    variable = disp_x
    boundary = right
    value=0.0
  [../]
  [./right_z]
    type = DirichletBC
    variable = disp_z
    boundary = right
    value=0.0
  [../]
  [./left_x]
    type = DirichletBC
    variable = disp_x
    boundary = left
    value=0.0
  [../]
  [./left_z]
    type = DirichletBC
    variable = disp_z
    boundary = left
    value=0.0
  [../]
  [./front_x]
    type = DirichletBC
    variable = disp_x
    boundary = front
    value=0.0
  [../]
  [./front_z]
    type = DirichletBC
    variable = disp_z
    boundary = front
    value=0.0
  [../]
  [./back_x]
    type = DirichletBC
    variable = disp_x
    boundary = back
    value=0.0
  [../]
  [./back_z]
    type = DirichletBC
    variable = disp_z
    boundary = back
    value=0.0
  [../]
  [./bottom_x]
    type = DirichletBC
    variable = disp_x
    boundary = bottom
    value=0.0
  [../]
  [./bottom_z]
    type = DirichletBC
    variable = disp_z
    boundary = bottom
    value=0.0
  [../]
  [./bottom_y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = bottom
    function = displacement_bc
  [../]
[]

[Materials]
  [./Elasticity_tensor]
    type = ComputeElasticityTensor
    block = 0
    fill_method = symmetric_isotropic
    C_ijkl = '1 0'
  [../]

  [./strain]
    type = ComputeSmallStrain
    block = 0
    displacements = 'disp_x disp_y disp_z'
  [../]

  [./stress]
    type = ComputeLinearElasticStress
    block = 0
  [../]

  [./density]
    type = GenericConstantMaterial
    block = 0
    prop_names = 'density'
    prop_values = '1'
  [../]

[]

[Executioner]
  type = Transient
  start_time = 0
  end_time = 6.0
  l_tol = 1e-12
  nl_rel_tol = 1e-12
  dt = 0.1

  [./TimeIntegrator]
    type = NewmarkBeta
    beta = 0.422
    gamma = 0.8
  [../]
[]


[Functions]
  [./displacement_bc]
    type = PiecewiseLinear
    data_file = 'sine_wave.csv'
    format = columns
  [../]

[]

[Postprocessors]
  [./_dt]
    type = TimestepSize
  [../]
  [./disp_1]
    type = NodalVariableValue
    nodeid = 1
    variable = disp_y
  [../]
  [./disp_2]
    type = NodalVariableValue
    nodeid = 3
    variable = disp_y
  [../]
  [./disp_3]
    type = NodalVariableValue
    nodeid = 10
    variable = disp_y
  [../]
  [./disp_4]
    type = NodalVariableValue
    nodeid = 14
    variable = disp_y
  [../]
[]

[Outputs]
  file_base = 'wave_rayleigh_hht_out'
  exodus = true
  perf_graph = true
[]

(modules/combined/test/tests/eigenstrain/variable_finite.i)

[Mesh]
  type = GeneratedMesh
  dim = 2
  nx = 10
  ny = 10
  xmax = 0.5
  ymax = 0.5
  elem_type = QUAD4
[]

[GlobalParams]
  displacements = 'disp_x disp_y'
[]

[Variables]
  [./disp_x]
    order = FIRST
    family = LAGRANGE
  [../]
  [./disp_y]
    order = FIRST
    family = LAGRANGE
  [../]
[]

[AuxVariables]
  [./strain11]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress11]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./c]
  [../]
  [./eigenstrain00]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]

[ICs]
  [./c_IC]
    int_width = 0.15
    x1 = 0
    y1 = 0
    radius = 0.25
    outvalue = 0
    variable = c
    invalue = 1
    type = SmoothCircleIC
  [../]
[]

[Kernels]
  [./TensorMechanics]
  [../]
[]

[AuxKernels]
  [./strain11]
    type = RankTwoAux
    rank_two_tensor = mechanical_strain
    index_i = 0
    index_j = 0
    variable = strain11
  [../]
  [./stress11]
    type = RankTwoAux
    rank_two_tensor = mechanical_strain
    index_i = 1
    index_j = 1
    variable = stress11
  [../]
  [./eigenstrain00]
    type = RankTwoAux
    variable = eigenstrain00
    rank_two_tensor = eigenstrain
    index_j = 0
    index_i = 0
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    block = 0
    C_ijkl = '1 1'
    fill_method = symmetric_isotropic
  [../]
  [./var_dependence]
    type = DerivativeParsedMaterial
    block = 0
    expression = 0.01*c^2
    coupled_variables = c
    outputs = exodus
    output_properties = 'var_dep'
    f_name = var_dep
    enable_jit = true
    derivative_order = 2
  [../]
  [./eigenstrain]
    type = ComputeVariableEigenstrain
    block = 0
    eigen_base = '1 1 1 0 0 0'
    args = c
    prefactor = var_dep
    eigenstrain_name = eigenstrain
  [../]
  [./strain]
    type = ComputeFiniteStrain
    block = 0
    displacements = 'disp_x disp_y'
    eigenstrain_names = eigenstrain
  [../]
  [./stress]
    type = ComputeFiniteStrainElasticStress
    block = 0
  [../]
[]

[BCs]
  [./bottom_y]
    type = DirichletBC
    variable = disp_y
    boundary = bottom
    value = 0
  [../]
  [./left_x]
    type = DirichletBC
    variable = disp_x
    boundary = left
    value = 0
  [../]
  [./top_y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = top
    function = 0.0005*t
  [../]
[]

[Preconditioning]
  [./SMP]
    type = SMP
    full = true
  [../]
[]

[Executioner]
  type = Transient
  num_steps = 3
  solve_type = PJFNK
  petsc_options_iname = '-pc_type '
  petsc_options_value = lu
  l_max_its = 20
  nl_max_its = 10
  l_tol = 1.0e-4
  nl_rel_tol = 1.0e-8
  nl_abs_tol = 1.0e-9
  reset_dt = true
[]

[Outputs]
  execute_on = 'timestep_end'
  exodus = true
[]

(test/tests/functions/constant_function/constant_function_test.i)

[Mesh]
  type = GeneratedMesh
  dim = 2
  xmin = -1
  xmax =  1
  ymin = -1
  ymax =  1
  nx = 4
  ny = 4
  elem_type = QUAD4
[]

[Functions]
  [./bc_fn]
    type = ParsedFunction
    expression = 'x*x+y*y'
  [../]

  [./icfn]
    type = ConstantFunction
    value = 1
  [../]

  [./ffn]
    type = ConstantFunction
    value = -4
  [../]
[]

[Variables]
  [./u]
    order = FIRST
    family = LAGRANGE
    [./InitialCondition]
      type = FunctionIC
      function = icfn
    [../]
  [../]
[]

[Kernels]
  # Coupling of nonlinear to Aux
  [./diff]
    type = Diffusion
    variable = u
  [../]
  [./force]
    type = BodyForce
    variable = u
    function = ffn
  [../]
[]

[BCs]
  [./all]
    type = FunctionDirichletBC
    variable = u
    boundary = '0 1 2 3'
    function = bc_fn
  [../]
[]

[Executioner]
  type = Steady

  solve_type = 'PJFNK'

[]

[Outputs]
  exodus = true
[]

(modules/contact/test/tests/bouncing-block-contact/mixed-weighted-gap-swapped.i)

starting_point = 2e-1

# We offset slightly so we avoid the case where the bottom of the secondary block and the top of the
# primary block are perfectly vertically aligned which can cause the backtracking line search some
# issues for a coarse mesh (basic line search handles that fine)
offset = 1e-2

[GlobalParams]
  displacements = 'disp_x disp_y'
  diffusivity = 1e0
  correct_edge_dropping = true
[]

[Mesh]
  second_order = true
  [file_mesh]
    type = FileMeshGenerator
    file = long-bottom-block-1elem-blocks-coarse.e
  []
[]

[Variables]
  [disp_x]
    block = '1 2'
    scaling = 1e1
    order = SECOND
  []
  [disp_y]
    block = '1 2'
    scaling = 1e1
    order = SECOND
  []
  [frictional_normal_lm]
    block = 4
    scaling = 1e3
  []
[]

[ICs]
  [disp_y]
    block = 2
    variable = disp_y
    value = '${fparse starting_point + offset}'
    type = ConstantIC
  []
[]

[Kernels]
  [disp_x]
    type = MatDiffusion
    variable = disp_x
  []
  [disp_y]
    type = MatDiffusion
    variable = disp_y
  []
[]

[UserObjects]
  [weighted_gap_uo]
    type = LMWeightedGapUserObject
    primary_boundary = 10
    secondary_boundary = 20
    primary_subdomain = 3
    secondary_subdomain = 4
    lm_variable = frictional_normal_lm
    disp_x = disp_x
    disp_y = disp_y
    correct_edge_dropping = true
  []
[]
[Constraints]
  [frictional_normal_lm]
    type = ComputeWeightedGapLMMechanicalContact
    primary_boundary = 10
    secondary_boundary = 20
    primary_subdomain = 3
    secondary_subdomain = 4
    variable = frictional_normal_lm
    disp_x = disp_x
    disp_y = disp_y
    normalize_c = true
    c = 1.0e-2
    weighted_gap_uo = weighted_gap_uo
  []
  [normal_x]
    type = NormalMortarMechanicalContact
    primary_boundary = 10
    secondary_boundary = 20
    primary_subdomain = 3
    secondary_subdomain = 4
    variable = frictional_normal_lm
    secondary_variable = disp_x
    component = x
    use_displaced_mesh = true
    compute_lm_residuals = false
    weighted_gap_uo = weighted_gap_uo
  []
  [normal_y]
    type = NormalMortarMechanicalContact
    primary_boundary = 10
    secondary_boundary = 20
    primary_subdomain = 3
    secondary_subdomain = 4
    variable = frictional_normal_lm
    secondary_variable = disp_y
    component = y
    use_displaced_mesh = true
    compute_lm_residuals = false
    weighted_gap_uo = weighted_gap_uo
  []
[]

[BCs]
  [botx]
    type = DirichletBC
    variable = disp_x
    boundary = 40
    value = 0.0
  []
  [boty]
    type = DirichletBC
    variable = disp_y
    boundary = 40
    value = 0.0
  []
  [topy]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 30
    function = '${starting_point} * cos(2 * pi / 40 * t) + ${offset}'
  []
  [leftx]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 50
    function = '1e-2 * t'
  []
[]

[Executioner]
  type = Transient
  end_time = 200
  dt = 5
  dtmin = .1
  solve_type = 'PJFNK'
  petsc_options = '-snes_converged_reason -ksp_converged_reason'
  petsc_options_iname = '-pc_type -pc_factor_shift_type -pc_factor_shift_amount'
  petsc_options_value = 'lu       NONZERO               1e-15'
  l_max_its = 30
  nl_max_its = 25
  line_search = 'none'
  nl_rel_tol = 1e-12
[]

[Debug]
  show_var_residual_norms = true
[]

[Outputs]
  exodus = true
[]

[Preconditioning]
  [smp]
    type = SMP
    full = true
  []
[]

(modules/porous_flow/test/tests/mass_conservation/mass04.i)

# The sample is a single unit element, with roller BCs on the sides
# and bottom.  A constant displacement is applied to the top: disp_z = -0.01*t.
# There is no fluid flow.
# Fluid mass conservation is checked.
#
# Under these conditions
# porepressure = porepressure(t=0) - (Fluid bulk modulus)*log(1 - 0.01*t)
# stress_xx = (bulk - 2*shear/3)*disp_z/L (remember this is effective stress)
# stress_zz = (bulk + 4*shear/3)*disp_z/L (remember this is effective stress)
# where L is the height of the sample (L=1 in this test)
#
# Parameters:
# Bulk modulus = 2
# Shear modulus = 1.5
# fluid bulk modulus = 0.5
# initial porepressure = 0.1
#
# Desired output:
# zdisp = -0.01*t
# p0 = 0.1 - 0.5*log(1-0.01*t)
# stress_xx = stress_yy = -0.01*t
# stress_zz = -0.04*t
#
# Regarding the "log" - it comes from preserving fluid mass

[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
  PorousFlowDictator = dictator
  block = 0
[]

[Variables]
  [disp_x]
  []
  [disp_y]
  []
  [disp_z]
  []
  [porepressure]
    initial_condition = 0.1
  []
[]

[BCs]
  [confinex]
    type = DirichletBC
    variable = disp_x
    value = 0
    boundary = 'left right'
  []
  [confiney]
    type = DirichletBC
    variable = disp_y
    value = 0
    boundary = 'bottom top'
  []
  [basefixed]
    type = DirichletBC
    variable = disp_z
    value = 0
    boundary = back
  []
  [top_velocity]
    type = FunctionDirichletBC
    variable = disp_z
    function = -0.01*t
    boundary = front
  []
[]

[Kernels]
  [grad_stress_x]
    type = StressDivergenceTensors
    variable = disp_x
    component = 0
  []
  [grad_stress_y]
    type = StressDivergenceTensors
    variable = disp_y
    component = 1
  []
  [grad_stress_z]
    type = StressDivergenceTensors
    variable = disp_z
    component = 2
  []
  [poro_x]
    type = PorousFlowEffectiveStressCoupling
    biot_coefficient = 0.3
    variable = disp_x
    component = 0
  []
  [poro_y]
    type = PorousFlowEffectiveStressCoupling
    biot_coefficient = 0.3
    variable = disp_y
    component = 1
  []
  [poro_z]
    type = PorousFlowEffectiveStressCoupling
    biot_coefficient = 0.3
    component = 2
    variable = disp_z
  []
  [poro_vol_exp]
    type = PorousFlowMassVolumetricExpansion
    variable = porepressure
    fluid_component = 0
  []
  [mass0]
    type = PorousFlowMassTimeDerivative
    fluid_component = 0
    variable = porepressure
  []
[]

[AuxVariables]
  [stress_xx]
    order = CONSTANT
    family = MONOMIAL
  []
  [stress_xy]
    order = CONSTANT
    family = MONOMIAL
  []
  [stress_xz]
    order = CONSTANT
    family = MONOMIAL
  []
  [stress_yy]
    order = CONSTANT
    family = MONOMIAL
  []
  [stress_yz]
    order = CONSTANT
    family = MONOMIAL
  []
  [stress_zz]
    order = CONSTANT
    family = MONOMIAL
  []
[]

[AuxKernels]
  [stress_xx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xx
    index_i = 0
    index_j = 0
  []
  [stress_xy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xy
    index_i = 0
    index_j = 1
  []
  [stress_xz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xz
    index_i = 0
    index_j = 2
  []
  [stress_yy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yy
    index_i = 1
    index_j = 1
  []
  [stress_yz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yz
    index_i = 1
    index_j = 2
  []
  [stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zz
    index_i = 2
    index_j = 2
  []
[]

[FluidProperties]
  [simple_fluid]
    type = SimpleFluidProperties
    bulk_modulus = 0.5
    density0 = 1
    thermal_expansion = 0
    viscosity = 1
  []
[]

[Materials]
  [temperature]
    type = PorousFlowTemperature
  []
  [elasticity_tensor]
    type = ComputeElasticityTensor
    C_ijkl = '1 1.5'
    # bulk modulus is lambda + 2*mu/3 = 1 + 2*1.5/3 = 2
    fill_method = symmetric_isotropic
  []
  [strain]
    type = ComputeSmallStrain
  []
  [stress]
    type = ComputeLinearElasticStress
  []
  [vol_strain]
    type = PorousFlowVolumetricStrain
  []
  [eff_fluid_pressure]
    type = PorousFlowEffectiveFluidPressure
  []
  [ppss]
    type = PorousFlow1PhaseP
    porepressure = porepressure
    capillary_pressure = pc
  []
  [massfrac]
    type = PorousFlowMassFraction
  []
  [simple_fluid]
    type = PorousFlowSingleComponentFluid
    fp = simple_fluid
    phase = 0
  []
  [porosity]
    type = PorousFlowPorosityConst
    porosity = 0.1
  []
  [permeability]
    type = PorousFlowPermeabilityConst
    permeability = '0.5 0 0   0 0.5 0   0 0 0.5'
  []
[]

[UserObjects]
  [dictator]
    type = PorousFlowDictator
    porous_flow_vars = 'porepressure disp_x disp_y disp_z'
    number_fluid_phases = 1
    number_fluid_components = 1
  []
  [pc]
    type = PorousFlowCapillaryPressureVG
    m = 0.5
    alpha = 1
  []
[]

[Postprocessors]
  [p0]
    type = PointValue
    outputs = 'console csv'
    execute_on = 'initial timestep_end'
    point = '0 0 0'
    variable = porepressure
  []
  [zdisp]
    type = PointValue
    outputs = csv
    point = '0 0 0.5'
    use_displaced_mesh = false
    variable = disp_z
  []
  [stress_xx]
    type = PointValue
    outputs = csv
    point = '0 0 0'
    variable = stress_xx
  []
  [stress_yy]
    type = PointValue
    outputs = csv
    point = '0 0 0'
    variable = stress_yy
  []
  [stress_zz]
    type = PointValue
    outputs = csv
    point = '0 0 0'
    variable = stress_zz
  []
  [fluid_mass]
    type = PorousFlowFluidMass
    fluid_component = 0
    execute_on = 'initial timestep_end'
    outputs = 'console csv'
  []
[]

[Preconditioning]
  [andy]
    type = SMP
    full = true
    petsc_options_iname = '-ksp_type -pc_type -snes_atol -snes_rtol -snes_max_it'
    petsc_options_value = 'bcgs bjacobi 1E-14 1E-8 10000'
  []
[]

[Executioner]
  type = Transient
  solve_type = Newton
  start_time = 0
  end_time = 10
  dt = 2
[]

[Outputs]
  execute_on = 'initial timestep_end'
  file_base = mass04
  [csv]
    type = CSV
  []
[]

(modules/contact/test/tests/mortar_cartesian_lms/two_block_1st_order_constraint_lm_xy_friction_pg.i)

[GlobalParams]
  displacements = 'disp_x disp_y'
  volumetric_locking_correction = true
[]

theta = 0
velocity = 0.1
refine = 3

[Mesh]
  [left_block]
    type = GeneratedMeshGenerator
    dim = 2
    xmin = -0.35
    xmax = -0.05
    ymin = -1
    ymax = 0
    nx = 1
    ny = 3
    elem_type = QUAD4
  []
  [left_block_sidesets]
    type = RenameBoundaryGenerator
    input = left_block
    old_boundary = '0 1 2 3'
    new_boundary = '10 11 12 13'
  []
  [left_block_sideset_names]
    type = RenameBoundaryGenerator
    input = left_block_sidesets
    old_boundary = '10 11 12 13'
    new_boundary = 'l_bottom l_right l_top l_left'
  []
  [left_block_id]
    type = SubdomainIDGenerator
    input = left_block_sideset_names
    subdomain_id = 1
  []
  [right_block]
    type = GeneratedMeshGenerator
    dim = 2
    xmin = 0
    xmax = 0.3
    ymin = -1
    ymax = 0
    nx = 1
    ny = 2
    elem_type = QUAD4
  []
  [right_block_sidesets]
    type = RenameBoundaryGenerator
    input = right_block
    old_boundary = '0 1 2 3'
    new_boundary = '20 21 22 23'
  []
  [right_block_sideset_names]
    type = RenameBoundaryGenerator
    input = right_block_sidesets
    old_boundary = '20 21 22 23'
    new_boundary = 'r_bottom r_right r_top r_left'
  []
  [right_block_id]
    type = SubdomainIDGenerator
    input = right_block_sideset_names
    subdomain_id = 2
  []

  [combined_mesh]
    type = MeshCollectionGenerator
    inputs = 'left_block_id right_block_id'
  []

  [left_lower]
    type = LowerDBlockFromSidesetGenerator
    input = combined_mesh
    sidesets = '11'
    new_block_id = '10001'
    new_block_name = 'secondary_lower'
  []
  [right_lower]
    type = LowerDBlockFromSidesetGenerator
    input = left_lower
    sidesets = '23'
    new_block_id = '10000'
    new_block_name = 'primary_lower'
  []

  [rotate_mesh]
    type = TransformGenerator
    input = right_lower
    transform = ROTATE
    vector_value = '0 0 ${theta}'
  []

  uniform_refine = ${refine}
[]

[Variables]
  [lm_x]
    block = 'secondary_lower'
    use_dual = true
  []
  [lm_y]
    block = 'secondary_lower'
    use_dual = true
  []
[]

[AuxVariables]
  [normal_lm]
    family = LAGRANGE
    order = FIRST
  []
  [tangent_lm]
    family = LAGRANGE
    order = FIRST
  []
  [aux_lm]
    block = 'secondary_lower'
    use_dual = false
  []
[]

[AuxKernels]
  [normal_lm]
    type = MortarPressureComponentAux
    variable = normal_lm
    primary_boundary = '23'
    secondary_boundary = '11'
    lm_var_x = lm_x
    lm_var_y = lm_y
    component = 'NORMAL'
    boundary = '11'
  []
  [tangent_lm]
    type = MortarPressureComponentAux
    variable = tangent_lm
    primary_boundary = '23'
    secondary_boundary = '11'
    lm_var_x = lm_x
    lm_var_y = lm_y
    component = 'tangent1'
    boundary = '11'
  []
[]

[Physics/SolidMechanics/QuasiStatic]
  [all]
    strain = FINITE
    incremental = true
    add_variables = true
    block = '1 2'
  []
[]

[Functions]
  [horizontal_movement]
    type = ParsedFunction
    expression = '${velocity} * t * cos(${theta}/180*pi)'
  []
  [vertical_movement]
    type = ParsedFunction
    expression = '${velocity} * t * sin(${theta}/180*pi)'
  []
[]

[BCs]
  [push_left_x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 13
    function = horizontal_movement
  []
  [fix_right_x]
    type = DirichletBC
    variable = disp_x
    boundary = 21
    value = 0.0
  []
  [fix_right_y]
    type = DirichletBC
    variable = disp_y
    boundary = 21
    value = 0.0
  []
  [push_left_y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 13
    function = vertical_movement
  []
[]

[Materials]
  [elasticity_tensor_left]
    type = ComputeIsotropicElasticityTensor
    block = 1
    youngs_modulus = 1.0e4
    poissons_ratio = 0.3
  []
  [stress_left]
    type = ComputeFiniteStrainElasticStress
    block = 1
  []

  [elasticity_tensor_right]
    type = ComputeIsotropicElasticityTensor
    block = 2
    youngs_modulus = 1.0e8
    poissons_ratio = 0.3
  []
  [stress_right]
    type = ComputeFiniteStrainElasticStress
    block = 2
  []
[]

[Constraints]
  [weighted_gap_lm]
    type = ComputeFrictionalForceCartesianLMMechanicalContact
    primary_boundary = '23'
    secondary_boundary = '11'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    lm_x = lm_x
    lm_y = lm_y
    variable = lm_x # This can be anything really
    disp_x = disp_x
    disp_y = disp_y
    use_displaced_mesh = true
    correct_edge_dropping = true
    mu = 1.0
    c_t = 1.0e5
    use_petrov_galerkin = true
    aux_lm = aux_lm
  []
  [normal_x]
    type = CartesianMortarMechanicalContact
    primary_boundary = '23'
    secondary_boundary = '11'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    variable = lm_x
    secondary_variable = disp_x
    component = x
    use_displaced_mesh = true
    compute_lm_residuals = false
    correct_edge_dropping = true
  []
  [normal_y]
    type = CartesianMortarMechanicalContact
    primary_boundary = '23'
    secondary_boundary = '11'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    variable = lm_y
    secondary_variable = disp_y
    component = y
    use_displaced_mesh = true
    compute_lm_residuals = false
    correct_edge_dropping = true
  []
[]

[Preconditioning]
  [smp]
    type = SMP
    full = true
  []
[]

[Executioner]
  type = Transient
  solve_type = 'NEWTON'

  petsc_options_iname = '-pc_type -pc_factor_mat_solver_package -pc_factor_shift_type -pc_factor_shift_amount'
  petsc_options_value = 'lu        superlu_dist                  NONZERO               1e-15'

  line_search = none

  dt = 0.1
  dtmin = 0.1
  end_time = 1.0
  l_max_its = 100

  nl_max_its = 20
  nl_rel_tol = 1e-8
  snesmf_reuse_base = false
[]

[Outputs]
  exodus = true
  csv = true
[]

[Postprocessors]
  [avg_disp_x]
    type = ElementAverageValue
    variable = disp_x
    block = '1 2'
  []
  [avg_disp_y]
    type = ElementAverageValue
    variable = disp_y
    block = '1 2'
  []
  [max_disp_x]
    type = ElementExtremeValue
    variable = disp_x
    block = '1 2'
  []
  [max_disp_y]
    type = ElementExtremeValue
    variable = disp_y
    block = '1 2'
  []
  [min_disp_x]
    type = ElementExtremeValue
    variable = disp_x
    block = '1 2'
    value_type = min
  []
  [min_disp_y]
    type = ElementExtremeValue
    variable = disp_y
    block = '1 2'
    value_type = min
  []
  [num_lin_it]
    type = NumLinearIterations
  []
  [num_nonlin_it]
    type = NumNonlinearIterations
  []
  [tot_lin_it]
    type = CumulativeValuePostprocessor
    postprocessor = num_lin_it
  []
  [tot_nonlin_it]
    type = CumulativeValuePostprocessor
    postprocessor = num_nonlin_it
  []
  [max_norma_lm]
    type = ElementExtremeValue
    variable = normal_lm
  []
  [min_norma_lm]
    type = ElementExtremeValue
    variable = normal_lm
    value_type = min
  []
[]

[VectorPostprocessors]
  [normal_lm]
    type = NodalValueSampler
    block = 'secondary_lower'
    variable = normal_lm
    sort_by = 'y'
  []
  [tangent_lm]
    type = NodalValueSampler
    block = 'secondary_lower'
    variable = tangent_lm
    sort_by = 'y'
  []
[]

(modules/navier_stokes/test/tests/finite_element/ins/RZ_cone/rz_cone_by_parts_traction_steady_stabilized.i)

# This input file tests several different things:
# .) The axisymmetric (RZ) form of the governing equations.
# .) An open boundary.
# .) Not integrating the pressure by parts, thereby requiring a pressure pin.
# .) Natural boundary condition at the outlet.
[GlobalParams]
  integrate_p_by_parts = true
  laplace = false
  gravity = '0 0 0'
  supg = true
  pspg = true
  order = FIRST
[]

[Mesh]
  file = '2d_cone.msh'
[]

[Problem]
  coord_type = RZ
[]

[Preconditioning]
  [./SMP_PJFNK]
    type = SMP
    full = true
    # Jacobian doesn't appear to be correct for RZ traction form
    solve_type = PJFNK
  [../]
[]

[Executioner]
  type = Steady

  petsc_options_iname = '-pc_type -sub_pc_type -sub_pc_factor_levels'
  petsc_options_value = 'bjacobi  ilu          4'

  nl_rel_tol = 1e-12
  nl_max_its = 6
[]

[Outputs]
  console = true
  [./out]
    type = Exodus
  [../]
[]

[Variables]
  [./vel_x]
    # Velocity in radial (r) direction
  [../]
  [./vel_y]
    # Velocity in axial (z) direction
  [../]
  [./p]
  [../]
[]

[BCs]
  [./u_in]
    type = DirichletBC
    boundary = bottom
    variable = vel_x
    value = 0
  [../]
  [./v_in]
    type = FunctionDirichletBC
    boundary = bottom
    variable = vel_y
    function = 'inlet_func'
  [../]
  [./u_axis_and_walls]
    type = DirichletBC
    boundary = 'left right'
    variable = vel_x
    value = 0
  [../]
  [./v_no_slip]
    type = DirichletBC
    boundary = 'right'
    variable = vel_y
    value = 0
  [../]
[]


[Kernels]
  [./mass]
    type = INSMassRZ
    variable = p
    u = vel_x
    v = vel_y
    pressure = p
  [../]
  [./x_momentum_space]
    type = INSMomentumTractionFormRZ
    variable = vel_x
    u = vel_x
    v = vel_y
    pressure = p
    component = 0
  [../]
  [./y_momentum_space]
    type = INSMomentumTractionFormRZ
    variable = vel_y
    u = vel_x
    v = vel_y
    pressure = p
    component = 1
  [../]
[]

[Materials]
  [./const]
    type = GenericConstantMaterial
    block = 'volume'
    prop_names = 'rho mu'
    prop_values = '1  1'
  [../]
[]

[Functions]
  [./inlet_func]
    type = ParsedFunction
    expression = '-4 * x^2 + 1'
  [../]
[]

[Postprocessors]
  [./flow_in]
    type = VolumetricFlowRate
    vel_x = vel_x
    vel_y = vel_y
    boundary = 'bottom'
    execute_on = 'timestep_end'
  [../]
  [./flow_out]
    type = VolumetricFlowRate
    vel_x = vel_x
    vel_y = vel_y
    boundary = 'top'
    execute_on = 'timestep_end'
  [../]
[]

(modules/solid_mechanics/test/tests/lagrangian/cartesian/updated/convergence-auto/1D/dirichlet.i)

# Simple 1D plane strain test

[GlobalParams]
  displacements = 'disp_x'
  large_kinematics = true
[]

[Variables]
  [disp_x]
  []
[]

[ICs]
  [disp_x]
    type = RandomIC
    variable = disp_x
    min = -0.1
    max = 0.1
  []
[]

[Mesh]
  [msh]
    type = GeneratedMeshGenerator
    dim = 1
    nx = 10
  []
[]

[Kernels]
  [sdx]
    type = UpdatedLagrangianStressDivergence
    variable = disp_x
    component = 0
    use_displaced_mesh = true
  []
[]

[Functions]
  [pull]
    type = ParsedFunction
    expression = '0.06 * t'
  []
[]

[BCs]
  [leftx]
    type = DirichletBC
    preset = true
    boundary = right
    variable = disp_x
    value = 0.0
  []
  [pull]
    type = FunctionDirichletBC
    boundary = left
    variable = disp_x
    function = pull
    preset = true
  []
[]

[Materials]
  [elastic_tensor]
    type = ComputeIsotropicElasticityTensor
    youngs_modulus = 100000.0
    poissons_ratio = 0.3
  []
  [compute_stress]
    type = ComputeLagrangianLinearElasticStress
  []
  [compute_strain]
    type = ComputeLagrangianStrain
  []
[]

[Preconditioning]
  [smp]
    type = SMP
    full = true
  []
[]

[Executioner]
  type = Transient

  solve_type = 'newton'
  line_search = none

  petsc_options_iname = '-pc_type'
  petsc_options_value = 'lu'

  l_max_its = 2
  l_tol = 1e-14
  nl_max_its = 15
  nl_rel_tol = 1e-8
  nl_abs_tol = 1e-10

  start_time = 0.0
  dt = 5.0
  dtmin = 5.0
  end_time = 5.0
[]

(test/tests/outputs/console/console_final.i)

###########################################################
# This test exercises console Output control. The console
# output is only output every third step. Additionally it
# is forced to be output after the final timestep as well.
#
# @Requirement U1.40
###########################################################


[Mesh]
  type = GeneratedMesh
  dim = 2
  xmin = 0
  xmax = 1
  ymin = 0
  ymax = 1
  nx = 10
  ny = 10
  elem_type = QUAD4
  # This test uses ElementalVariableValue postprocessors on specific
  # elements, so element numbering needs to stay unchanged
  allow_renumbering = false
[]

[Functions]
  [./ffn]
    type = ParsedFunction
    expression = -4
  [../]

  [./exactfn]
    type = ParsedFunction
    expression = x*x+y*y
  [../]

  [./aux_exact_fn]
    type = ParsedFunction
    expression = t*(x*x+y*y)
  [../]
[]

[Variables]
  [./u]
    order = FIRST
    family = LAGRANGE
  [../]
[]

[Kernels]
  [./td]
    type = TimeDerivative
    variable = u
  [../]

  [./diff]
    type = Diffusion
    variable = u
  [../]

  [./force]
    type = BodyForce
    variable = u
    function = ffn
  [../]
[]

[AuxVariables]
  [./aux_u]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]

[AuxKernels]
  [./a]
    type = FunctionAux
    variable = aux_u
    function = aux_exact_fn
  [../]
[]

[BCs]
  [./left]
    type = FunctionDirichletBC
    variable = u
    boundary = '0 1 2 3'
    function = exactfn
  [../]
[]

[Postprocessors]
  [./elem_56]
    type = ElementalVariableValue
    variable = u
    elementid = 56
  [../]

  [./aux_elem_99]
    type = ElementalVariableValue
    variable = aux_u
    elementid = 99
  [../]
[]

[Executioner]
  type = Transient
  solve_type = 'PJFNK'
  dt = 0.01
  start_time = 0
  num_steps = 10
[]

[Outputs]
  time_step_interval = 3
  execute_on = 'initial timestep_end final'
[]

(test/tests/geomsearch/3d_moving_penetration/pl_test4q.i)

[GlobalParams]
  order = SECOND
  family = LAGRANGE
[]

[Mesh]
  file = pl_test4q.e
  displacements = 'disp_x disp_y disp_z'
[]

[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
[]

[AuxVariables]
  [./distance]
  [../]
  [./tangential_distance]
  [../]
  [./normal_x]
  [../]
  [./normal_y]
  [../]
  [./normal_z]
  [../]
  [./closest_point_x]
  [../]
  [./closest_point_y]
  [../]
  [./closest_point_z]
  [../]
  [./element_id]
  [../]
  [./side]
  [../]
[]

[Kernels]
  [./diff_x]
    type = Diffusion
    variable = disp_x
  [../]
  [./diff_y]
    type = Diffusion
    variable = disp_y
  [../]
  [./diff_z]
    type = Diffusion
    variable = disp_z
  [../]
[]

[AuxKernels]
  [./penetrate]
    type = PenetrationAux
    variable = distance
    boundary = 11            #secondary
    paired_boundary = 12     #primary
  [../]

  [./penetrate2]
    type = PenetrationAux
    variable = distance
    boundary = 12            #secondary
    paired_boundary = 11     #primary
  [../]

  [./penetrate3]
    type = PenetrationAux
    variable = tangential_distance
    boundary = 11
    paired_boundary = 12
    quantity = tangential_distance
  [../]

  [./penetrate4]
    type = PenetrationAux
    variable = tangential_distance
    boundary = 12
    paired_boundary = 11
    quantity = tangential_distance
  [../]

  [./penetrate5]
    type = PenetrationAux
    variable = normal_x
    boundary = 11
    paired_boundary = 12
    quantity = normal_x
  [../]

  [./penetrate6]
    type = PenetrationAux
    variable = normal_x
    boundary = 12
    paired_boundary = 11
    quantity = normal_x
  [../]

  [./penetrate7]
    type = PenetrationAux
    variable = normal_y
    boundary = 11
    paired_boundary = 12
    quantity = normal_y
  [../]

  [./penetrate8]
    type = PenetrationAux
    variable = normal_y
    boundary = 12
    paired_boundary = 11
    quantity = normal_y
  [../]

  [./penetrate9]
    type = PenetrationAux
    variable = normal_z
    boundary = 11
    paired_boundary = 12
    quantity = normal_z
  [../]

  [./penetrate10]
    type = PenetrationAux
    variable = normal_z
    boundary = 12
    paired_boundary = 11
    quantity = normal_z
  [../]

  [./penetrate11]
    type = PenetrationAux
    variable = closest_point_x
    boundary = 11
    paired_boundary = 12
    quantity = closest_point_x
  [../]

  [./penetrate12]
    type = PenetrationAux
    variable = closest_point_x
    boundary = 12
    paired_boundary = 11
    quantity = closest_point_x
  [../]

  [./penetrate13]
    type = PenetrationAux
    variable = closest_point_y
    boundary = 11
    paired_boundary = 12
    quantity = closest_point_y
  [../]

  [./penetrate14]
    type = PenetrationAux
    variable = closest_point_y
    boundary = 12
    paired_boundary = 11
    quantity = closest_point_y
  [../]

  [./penetrate15]
    type = PenetrationAux
    variable = closest_point_z
    boundary = 11
    paired_boundary = 12
    quantity = closest_point_z
  [../]

  [./penetrate16]
    type = PenetrationAux
    variable = closest_point_z
    boundary = 12
    paired_boundary = 11
    quantity = closest_point_z
  [../]

  [./penetrate17]
    type = PenetrationAux
    variable = element_id
    boundary = 11
    paired_boundary = 12
    quantity = element_id
  [../]

  [./penetrate18]
    type = PenetrationAux
    variable = element_id
    boundary = 12
    paired_boundary = 11
    quantity = element_id
  [../]

  [./penetrate19]
    type = PenetrationAux
    variable = side
    boundary = 11
    paired_boundary = 12
    quantity = side
  [../]

  [./penetrate20]
    type = PenetrationAux
    variable = side
    boundary = 12
    paired_boundary = 11
    quantity = side
  [../]
[]

[BCs]
  [./b1x]
    type = DirichletBC
    variable = disp_x
    boundary = 1
    value = 0
  [../]

  [./b1y]
    type = DirichletBC
    variable = disp_y
    boundary = 1
    value = 0
  [../]

  [./b1z]
    type = DirichletBC
    variable = disp_z
    boundary = 1
    value = 0
  [../]

  [./b2x]
    type = DirichletBC
    variable = disp_x
    boundary = 2
    value = 0
  [../]

  [./b2y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 2
    function = disp_y
  [../]

  [./b2z]
    type = DirichletBC
    variable = disp_z
    boundary = 2
    value = 0
  [../]
[]

[Functions]
  [./disp_y]
    type = PiecewiseLinear
    x = '0.0 0.25 0.75 1.0'
    y = '0.0 2.0 -2.0  0.0'
  [../]
[]

[Executioner]
  type = Transient

  solve_type = 'PJFNK'
  petsc_options = '-snes_ksp_ew'

  nl_rel_tol = 1e-9
  l_max_its = 10

  start_time = 0.0
  dt = 0.025
  end_time = 1.0
  [./Quadrature]
    order = THIRD
  [../]
[]

[Outputs]
  file_base = pl_test4q_out
  exodus = true
[]

(modules/solid_mechanics/test/tests/cohesive_zone_model/czm_multiple_dimension_base.i)

[Mesh]
  [./msh]
    type = GeneratedMeshGenerator
  []
  [./subdomain_1]
    type = SubdomainBoundingBoxGenerator
    input = msh
    bottom_left = '0 0 0'
    block_id = 1
    top_right = '0.5 1 1'
  []
  [./subdomain_2]
    type = SubdomainBoundingBoxGenerator
    input = subdomain_1
    bottom_left = '0.5 0 0'
    block_id = 2
    top_right = '1 1 1'
  []
  [./breakmesh]
    input = subdomain_2
    type = BreakMeshByBlockGenerator
  [../]
  [add_side_sets]
    input = breakmesh
    type = SideSetsFromNormalsGenerator
    normals = '0 -1  0
               0  1  0
               -1 0  0
               1  0  0
               0  0 -1
               0  0  1'
    fixed_normal = true
    new_boundary = 'y0 y1 x0 x1 z0 z1'
  []
[]

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]

[Physics/SolidMechanics/QuasiStatic]
  [./all]
    strain = SMALL
    add_variables = true
    generate_output = 'stress_xx stress_yy stress_zz stress_yz stress_xz stress_xy'
  [../]
[]

[Physics/SolidMechanics/CohesiveZone]
  [./czm1]
    boundary = 'interface'
    generate_output = 'traction_x traction_y traction_z normal_traction tangent_traction jump_x jump_y jump_z normal_jump tangent_jump'
  [../]
[]

[BCs]
  [./left_x]
    type = DirichletBC
    variable = disp_x
    preset = false
    boundary = x0
    value = 0.0
  [../]
  [./left_y]
    type = DirichletBC
    variable = disp_y
    preset = false
    boundary = x0
    value = 0.0
  [../]
  [./left_z]
    type = DirichletBC
    variable = disp_z
    preset = false
    boundary = x0
    value = 0.0
  [../]
  [./right_x]
    type = FunctionDirichletBC
    variable = disp_x
    preset = false
    boundary = x1
  [../]
  [./right_y]
    type = FunctionDirichletBC
    variable = disp_y
    preset = false
    boundary = x1
  [../]
  [./right_z]
    type = FunctionDirichletBC
    variable = disp_z
    preset = false
    boundary = x1
  [../]
[]

[Materials]
  [./Elasticity_tensor]
    type = ComputeElasticityTensor
    block = '1 2'
    fill_method = symmetric_isotropic
    C_ijkl = '0.3 0.5e8'
  [../]
  [./stress]
    type = ComputeLinearElasticStress
    block = '1 2'
  [../]
  [./czm_mat]
    type = PureElasticTractionSeparation
    boundary = 'interface'
    normal_stiffness = 10
    tangent_stiffness = 5
  [../]
[]

[Preconditioning]
  [./SMP]
    type = SMP
    full = true
  [../]
[]

[Executioner]
  type = Transient
  petsc_options_iname = '-pc_type'
  petsc_options_value = 'lu'
  solve_type = NEWTON
  nl_abs_tol = 1e-8
  nl_rel_tol = 1e-6
  nl_max_its = 5
  l_tol = 1e-10
  l_max_its = 50
  start_time = 0.0
  dt = 0.2
  end_time = 0.2
  dtmin = 0.2
  line_search = none
[]

[Outputs]
  [./out]
    type = Exodus
  [../]
[]

(test/tests/time_integrators/convergence/explicit_convergence.i)

[Mesh]
  type = GeneratedMesh
  dim  = 2
  xmin = -1
  xmax = 1
  ymin = -1
  ymax = 1
  nx   = 4
  ny   = 4
  elem_type = QUAD9
[]

[Variables]
  active = 'u'

  [./u]
    order = SECOND
    family = LAGRANGE

    [./InitialCondition]
      type = ConstantIC
      value = 0
    [../]
  [../]
[]

[Functions]
  [./exact_fn]
    type = ParsedFunction
    expression = t*t*t*((x*x)+(y*y))
  [../]

  [./forcing_fn]
    type = ParsedFunction
    expression = 3*t*t*((x*x)+(y*y))-(4*t*t*t)
  [../]
[]

[Kernels]
  active = 'diff ie ffn'

  [./ie]
    type = TimeDerivative
    variable = u
  [../]

  [./diff]
    type = Diffusion
    variable = u
    implicit = false
  [../]

  [./ffn]
    type = BodyForce
    variable = u
    function = forcing_fn
    implicit = false
  [../]
[]

[BCs]
  [./all]
    type = FunctionDirichletBC
    variable = u
    boundary = '0 1 2 3'
    function = exact_fn
  [../]
[]

[Postprocessors]
  [./l2_err]
    type = ElementL2Error
    variable = u
    function = exact_fn
  [../]
[]

[Executioner]
  type = Transient

  # We are solving only mass matrices in this problem.  The Jacobi
  # preconditioner is a bit faster than ILU or AMG for this.
  petsc_options_iname = '-pc_type'
  petsc_options_value = 'jacobi'

  start_time = 0.0
  end_time = 0.03125
  dt = 0.00390625

  [./TimeIntegrator]
    type = Heun
  [../]

   # For explicit methods, we use the LINEAR solve type.
   solve_type = 'LINEAR'
   l_tol = 1e-13
[]

[Outputs]
  execute_on = 'initial timestep_end'
  exodus = true
[]

(modules/contact/test/tests/verification/hertz_cyl/quart_symm_q8/hertz_cyl_qsym_1deg_template1.i)

[GlobalParams]
  order = SECOND
  volumetric_locking_correction = false
  displacements = 'disp_x disp_y'
[]

[Mesh]
  file = hertz_cyl_qsym_1deg_q8.e
[]

[Problem]
  type = ReferenceResidualProblem
  extra_tag_vectors = 'ref'
  reference_vector = 'ref'
[]

[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
[]

[AuxVariables]
  [./stress_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./saved_x]
  [../]
  [./saved_y]
  [../]
  [./diag_saved_x]
  [../]
  [./diag_saved_y]
  [../]
  [./inc_slip_x]
  [../]
  [./inc_slip_y]
  [../]
  [./accum_slip_x]
  [../]
  [./accum_slip_y]
  [../]
  [./tang_force_x]
  [../]
  [./tang_force_y]
  [../]
[]

[Functions]
  [./disp_ramp_vert]
    type = PiecewiseLinear
    x = '0. 1. 2.'
    y = '0. -0.0020 -0.0020'
  [../]
  [./disp_ramp_zero]
    type = PiecewiseLinear
    x = '0. 1. 2.'
    y = '0. 0.0 0.0'
  [../]
[]

[Kernels]
  [./TensorMechanics]
    use_displaced_mesh = true
    save_in = 'saved_x saved_y'
    extra_vector_tags = 'ref'
  [../]
[]

[AuxKernels]
  [./stress_xx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xx
    index_i = 0
    index_j = 0
    execute_on = timestep_end
  [../]
  [./stress_yy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yy
    index_i = 1
    index_j = 1
    execute_on = timestep_end
  [../]
  [./stress_xy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xy
    index_i = 0
    index_j = 1
    execute_on = timestep_end
  [../]
  [./inc_slip_x]
    type = PenetrationAux
    variable = inc_slip_x
    execute_on = timestep_end
    boundary = 4
    paired_boundary = 3
  [../]
  [./inc_slip_y]
    type = PenetrationAux
    variable = inc_slip_y
    execute_on = timestep_end
    boundary = 4
    paired_boundary = 3
  [../]
  [./accum_slip_x]
    type = PenetrationAux
    variable = accum_slip_x
    execute_on = timestep_end
    boundary = 4
    paired_boundary = 3
  [../]
  [./accum_slip_y]
    type = PenetrationAux
    variable = accum_slip_y
    execute_on = timestep_end
    boundary = 4
    paired_boundary = 3
  [../]
  [./penetration]
    type = PenetrationAux
    variable = penetration
    boundary = 4
    paired_boundary = 3
  [../]
  [./tang_force_x]
    type = PenetrationAux
    variable = tang_force_x
    quantity = tangential_force_x
    boundary = 4
    paired_boundary = 3
  [../]
  [./tang_force_y]
    type = PenetrationAux
    variable = tang_force_y
    quantity = tangential_force_y
    boundary = 4
    paired_boundary = 3
  [../]
[]

[Postprocessors]
  [./bot_react_x]
    type = NodalSum
    variable = saved_x
    boundary = 1
  [../]
  [./bot_react_y]
    type = NodalSum
    variable = saved_y
    boundary = 1
  [../]
  [./top_react_x]
    type = NodalSum
    variable = saved_x
    boundary = 5
  [../]
  [./top_react_y]
    type = NodalSum
    variable = saved_y
    boundary = 5
  [../]
  [./disp_x281]
    type = NodalVariableValue
    nodeid = 280
    variable = disp_x
  [../]
  [./_dt]
    type = TimestepSize
  [../]
  [./num_lin_it]
    type = NumLinearIterations
  [../]
  [./num_nonlin_it]
    type = NumNonlinearIterations
  [../]
[]

[BCs]
  [./side_x]
    type = DirichletBC
    variable = disp_y
    boundary = '1 3'
    value = 0.0
  [../]
  [./bot_y]
    type = DirichletBC
    variable = disp_x
    boundary = '1 2 3'
    value = 0.0
  [../]
  [./top_y_disp]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 5
    function = disp_ramp_vert
  [../]
[]

[Materials]
  [./stuff1_elas_tens]
    type = ComputeIsotropicElasticityTensor
    block = '1'
    youngs_modulus = 1e10
    poissons_ratio = 0.0
  [../]
  [./stuff1_strain]
    type = ComputeFiniteStrain
    block = '1'
  [../]
  [./stuff1_stress]
    type = ComputeFiniteStrainElasticStress
    block = '1'
  [../]
  [./stuff2_elas_tens]
    type = ComputeIsotropicElasticityTensor
    block = '2'
    youngs_modulus = 1e6
    poissons_ratio = 0.3
  [../]
  [./stuff2_strain]
    type = ComputeFiniteStrain
    block = '2'
  [../]
  [./stuff2_stress]
    type = ComputeFiniteStrainElasticStress
    block = '2'
  [../]
  [./stuff3_elas_tens]
    type = ComputeIsotropicElasticityTensor
    block = '3'
    youngs_modulus = 1e6
    poissons_ratio = 0.3
  [../]
  [./stuff3_strain]
    type = ComputeFiniteStrain
    block = '3'
  [../]
  [./stuff3_stress]
    type = ComputeFiniteStrainElasticStress
    block = '3'
  [../]
  [./stuff4_elas_tens]
    type = ComputeIsotropicElasticityTensor
    block = '4'
    youngs_modulus = 1e6
    poissons_ratio = 0.3
  [../]
  [./stuff4_strain]
    type = ComputeFiniteStrain
    block = '4'
  [../]
  [./stuff4_stress]
    type = ComputeFiniteStrainElasticStress
    block = '4'
  [../]
[]

[Executioner]
  type = Transient
  solve_type = 'PJFNK'

  petsc_options_iname = '-pc_type -pc_factor_mat_solver_type'
  petsc_options_value = 'lu     superlu_dist'

  line_search = 'none'

  nl_abs_tol = 1e-7
  nl_rel_tol = 1e-6
  l_max_its = 50
  nl_max_its = 100

  start_time = 0.0
  dt = 0.1
  dtmin = 0.1
  num_steps = 10
  end_time = 1.0
  l_tol = 1e-4
[]

[VectorPostprocessors]
  [./x_disp]
    type = NodalValueSampler
    variable = disp_x
    boundary = '3 4 5'
    sort_by = id
  [../]
  [./y_disp]
    type = NodalValueSampler
    variable = disp_y
    boundary = '3 4 5'
    sort_by = id
  [../]
  [./cont_press]
    type = NodalValueSampler
    variable = contact_pressure
    boundary = '4'
    sort_by = id
  [../]
[]

[Outputs]
  print_linear_residuals = true
  perf_graph = true
  [./exodus]
    type = Exodus
    elemental_as_nodal = true
  [../]
  [./console]
    type = Console
    max_rows = 5
  [../]
  [./chkfile]
    type = CSV
    show = 'bot_react_x bot_react_y disp_x281 top_react_x top_react_y x_disp y_disp cont_press'
    start_time = 0.9
    execute_vector_postprocessors_on = timestep_end
  [../]
  [./outfile]
    type = CSV
    delimiter = ' '
    execute_vector_postprocessors_on = none
  [../]
[]

[Contact]
  [./interface]
    primary = 3
    secondary = 4
    normalize_penalty = true
    tangential_tolerance = 1e-3
    penalty = 1e+11
  [../]
[]

(modules/solid_mechanics/test/tests/2D_geometries/planestrain.i)

# This test uses the strain calculator ComputePlaneSmallStrain,
# which is generated through the use of the SolidMechanics QuasiStatic Physics.

[GlobalParams]
  displacements = 'disp_x disp_y'
[]

[Mesh]
  [./square]
    type = GeneratedMeshGenerator
    dim = 2
    nx = 2
    ny = 2
  [../]
[]

[Physics/SolidMechanics/QuasiStatic]
  [./all]
    strain = SMALL
    planar_formulation = PLANE_STRAIN
    add_variables = true
    generate_output = 'stress_xx stress_xy stress_yy stress_zz strain_xx strain_xy strain_yy strain_zz'
  [../]
[]

[Functions]
  [./pull]
    type = ParsedFunction
    expression ='0.01 * t'
  [../]
[]

[BCs]
  [./rightx]
    type = DirichletBC
    boundary = 1
    variable = disp_x
    value = 0.0
  [../]
  [./bottomy]
    type = DirichletBC
    boundary = 0
    variable = disp_y
    value = 0.0
  [../]
  [./pull]
    type = FunctionDirichletBC
    boundary = 2
    variable = disp_y
    function = pull
  [../]
[]

[Materials]
  [./linear_stress]
    type = ComputeLinearElasticStress
    block = 0
  [../]
  [./elasticity_tensor]
    type = ComputeIsotropicElasticityTensor
    block = 0
    poissons_ratio = 0.3
    youngs_modulus = 1e10
  [../]
[]

[Executioner]
  type = Transient

  solve_type = PJFNK
  line_search = none

  l_max_its = 100
  l_tol = 1e-10
  nl_max_its = 15
  nl_rel_tol = 1e-12

  start_time = 0.0
  dt = 1.0
  dtmin = 1.0
  end_time = 5.0
[]

[Outputs]
  exodus = true
[]

(modules/solid_mechanics/test/tests/umat/temperature/elastic_temperature.i)

# Testing the UMAT Interface - linear elastic model using the large strain formulation.

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]

[Mesh]
  [gen]
    type = GeneratedMeshGenerator
    dim = 3
    xmin = -0.5
    xmax = 0.5
    ymin = -0.5
    ymax = 0.5
    zmin = -0.5
    zmax = 0.5
  []
[]

[Functions]
  [top_pull]
    type = ParsedFunction
    expression = t/100
  []
  # Forced evolution of temperature
  [temperature_load]
    type = ParsedFunction
    expression = '273 + 10*t'
  []
  # Factor to multiply the elasticity tensor in MOOSE
  [elasticity_prefactor]
    type = ParsedFunction
    expression = '273/(273 + 10*t)'
  []
[]

[AuxVariables]
  [temperature]
  []
[]

[AuxKernels]
  [temperature_function]
    type = FunctionAux
    variable = temperature
    function = temperature_load
  []
[]

[Physics/SolidMechanics/QuasiStatic]
  [all]
    add_variables = true
    strain = FINITE
    generate_output = 'stress_yy'
  []
[]

[BCs]
  [y_pull_function]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = top
    function = top_pull
  []
  [x_bot]
    type = DirichletBC
    variable = disp_x
    boundary = left
    value = 0.0
  []
  [y_bot]
    type = DirichletBC
    variable = disp_y
    boundary = bottom
    value = 0.0
  []
  [z_bot]
    type = DirichletBC
    variable = disp_z
    boundary = front
    value = 0.0
  []
[]

[Materials]
  # This input file is used to compare the MOOSE and UMAT models, activating
  # specific ones with cli variable_names.

  # 1. Active for umat calculation
  [umat]
    type = AbaqusUMATStress
    constant_properties = '1000 0.3'
    plugin = '../../../plugins/elastic_temperature'
    num_state_vars = 0
    temperature = temperature
    use_one_based_indexing = true
  []

  # 2. Active for reference MOOSE computations
  [elastic]
    type = ComputeIsotropicElasticityTensor
    youngs_modulus = 1000
    poissons_ratio = 0.3
    elasticity_tensor_prefactor = 'elasticity_prefactor'
  []
  [stress]
    type = ComputeFiniteStrainElasticStress
  []
[]

[Executioner]
  type = Transient
  solve_type = 'PJFNK'

  petsc_options = '-snes_ksp_ew'
  petsc_options_iname = '-ksp_gmres_restart'
  petsc_options_value = '101'

  line_search = 'none'

  l_max_its = 100
  nl_max_its = 100
  nl_rel_tol = 1e-12
  nl_abs_tol = 1e-10
  l_tol = 1e-9
  start_time = 0.0
  num_steps = 30
  dt = 1.0
[]

[Preconditioning]
  [smp]
    type = SMP
    full = true
  []
[]

[Outputs]
  exodus = true
[]

(modules/combined/test/tests/cavity_pressure/rz.i)

#
# Cavity Pressure Test
#
# This test is designed to compute an internal pressure based on
#   p = n * R * T / V
# where
#   p is the pressure
#   n is the amount of material in the volume (moles)
#   R is the universal gas constant
#   T is the temperature
#   V is the volume
#
# The mesh is composed of one block (2) with an interior cavity of volume 8.
#   Block 1 sits in the cavity and has a volume of 1.  Thus, the total
#   initial volume is 7.
# The test adjusts T in the following way:
#   T => T0 + beta * t
# with
#   beta = T0
#   T0 = 240.54443866068704
#   V0 = 7
#   n0 = f(p0)
#   p0 = 100
#   R = 8.314472 J * K^(-1) * mol^(-1)
#
# So, n0 = p0 * V0 / R / T0 = 100 * 7 / 8.314472 / 240.544439
#        = 0.35
#
# At t = 1, p = 200.

[Problem]
  coord_type = RZ
[]

[GlobalParams]
  displacements = 'disp_r disp_z'
[]

[Mesh]
  file = rz.e
[]

[Functions]
  [temperature]
    type = PiecewiseLinear
    x = '0 1'
    y = '1 2'
    scale_factor = 240.54443866068704
  []
[]

[Variables]
  [disp_r]
  []
  [disp_z]
  []
  [temp]
    initial_condition = 240.54443866068704
  []
[]

[Kernels]
  [TensorMechanics]
    use_displaced_mesh = true
  []
  [heat]
    type = Diffusion
    variable = temp
    use_displaced_mesh = true
  []
[]

[BCs]
  [no_x]
    type = DirichletBC
    variable = disp_r
    boundary = '1 2'
    value = 0.0
  []
  [no_y]
    type = DirichletBC
    variable = disp_z
    boundary = '1 2'
    value = 0.0
  []
  [temperatureInterior]
    type = FunctionDirichletBC
    boundary = 2
    function = temperature
    variable = temp
  []
  [CavityPressure]
    [1]
      boundary = 2
      initial_pressure = 100
      R = 8.314472
      temperature = aveTempInterior
      volume = internalVolume
      startup_time = 0.5
      output = ppress
    []
  []
[]

[Materials]
  [elastic_tensor1]
    type = ComputeIsotropicElasticityTensor
    youngs_modulus = 1e6
    poissons_ratio = 0.3
    block = 1
  []
  [strain1]
    type = ComputeAxisymmetricRZFiniteStrain
    block = 1
  []
  [stress1]
    type = ComputeFiniteStrainElasticStress
    block = 1
  []
  [elastic_tensor2]
    type = ComputeIsotropicElasticityTensor
    youngs_modulus = 1e6
    poissons_ratio = 0.3
    block = 2
  []
  [strain2]
    type = ComputeAxisymmetricRZFiniteStrain
    block = 2
  []
  [stress2]
    type = ComputeFiniteStrainElasticStress
    block = 2
  []
[]

[Executioner]
  type = Transient

  petsc_options_iname = '-pc_type -sub_pc_type'
  petsc_options_value = 'asm       lu'

  nl_abs_tol = 1e-10

  l_max_its = 20

  dt = 0.5
  end_time = 1.0
  use_pre_SMO_residual = true
[]

[Postprocessors]
  [internalVolume]
    type = InternalVolume
    boundary = 2
    execute_on = 'initial linear'
  []
  [aveTempInterior]
    type = SideAverageValue
    boundary = 2
    variable = temp
    execute_on = 'initial linear'
  []
[]

[Outputs]
  exodus = true
  [checkpoint]
    type = Checkpoint
    num_files = 1
  []
[]

(modules/contact/test/tests/mortar_tm/2drz/frictionless_second/finite_rr.i)

E_block = 1e7
E_plank = 1e7
elem = QUAD9
order = SECOND
name = 'finite_rr'

[Problem]
  coord_type = RZ
[]

[Mesh]
  patch_size = 80
  patch_update_strategy = auto
  [plank]
    type = GeneratedMeshGenerator
    dim = 2
    xmin = 0
    xmax = 0.6
    ymin = 0
    ymax = 10
    nx = 2
    ny = 33
    elem_type = ${elem}
    boundary_name_prefix = plank
  []
  [plank_id]
    type = SubdomainIDGenerator
    input = plank
    subdomain_id = 1
  []

  [block]
    type = GeneratedMeshGenerator
    dim = 2
    xmin = 0.61
    xmax = 1.21
    ymin = 9.2
    ymax = 10.0
    nx = 3
    ny = 4
    elem_type = ${elem}
    boundary_name_prefix = block
    boundary_id_offset = 10
  []
  [block_id]
    type = SubdomainIDGenerator
    input = block
    subdomain_id = 2
  []

  [combined]
    type = MeshCollectionGenerator
    inputs = 'plank_id block_id'
  []
  [block_rename]
    type = RenameBlockGenerator
    input = combined
    old_block = '1 2'
    new_block = 'plank block'
  []
[]

[GlobalParams]
  displacements = 'disp_x disp_y'
[]

[Problem]
  type = ReferenceResidualProblem
  extra_tag_vectors = 'ref'
  reference_vector = 'ref'
[]

[Variables]
  [disp_x]
    order = ${order}
    block = 'plank block'
    scaling = '${fparse 2.0 / (E_plank + E_block)}'
  []
  [disp_y]
    order = ${order}
    block = 'plank block'
    scaling = '${fparse 2.0 / (E_plank + E_block)}'
  []
[]

[Physics/SolidMechanics/QuasiStatic]
  [block]
    strain = FINITE
    generate_output = 'stress_xx stress_yy stress_zz vonmises_stress hydrostatic_stress strain_xx '
                      'strain_yy strain_zz'
    block = 'block'
    extra_vector_tags = 'ref'
  []
  [plank]
    strain = FINITE
    generate_output = 'stress_xx stress_yy stress_zz vonmises_stress hydrostatic_stress strain_xx '
                      'strain_yy strain_zz'
    block = 'plank'
    eigenstrain_names = 'swell'
    extra_vector_tags = 'ref'
  []
[]

[Contact]
  [frictionless]
    primary = plank_right
    secondary = block_left
    formulation = mortar
    c_normal = 1e0
  []
[]

[BCs]
  [left_x]
    type = DirichletBC
    variable = disp_x
    preset = false
    boundary = plank_left
    value = 0.0
  []
  [left_y]
    type = DirichletBC
    variable = disp_y
    preset = false
    boundary = plank_bottom
    value = 0.0
  []
  [right_x]
    type = DirichletBC
    variable = disp_x
    preset = false
    boundary = block_right
    value = 0
  []
  [right_y]
    type = FunctionDirichletBC
    variable = disp_y
    preset = false
    boundary = block_right
    function = '-t'
  []
[]

[Materials]
  [plank]
    type = ComputeIsotropicElasticityTensor
    block = 'plank'
    poissons_ratio = 0.3
    youngs_modulus = ${E_plank}
  []
  [block]
    type = ComputeIsotropicElasticityTensor
    block = 'block'
    poissons_ratio = 0.3
    youngs_modulus = ${E_block}
  []
  [stress]
    type = ComputeFiniteStrainElasticStress
    block = 'plank block'
  []
  [swell]
    type = ComputeEigenstrain
    block = 'plank'
    eigenstrain_name = swell
    eigen_base = '1 0 0 0 0 0 0 0 0'
    prefactor = swell_mat
  []
  [swell_mat]
    type = GenericFunctionMaterial
    prop_names = 'swell_mat'
    prop_values = '7e-2*(1-cos(4*t))'
    block = 'plank'
  []
[]

[Preconditioning]
  [smp]
    type = SMP
    full = true
  []
[]

[Executioner]
  type = Transient
  solve_type = 'PJFNK'
  petsc_options = '-snes_converged_reason -ksp_converged_reason'
  petsc_options_iname = '-pc_type -mat_mffd_err -pc_factor_shift_type -pc_factor_shift_amount'
  petsc_options_value = 'lu       1e-5          NONZERO               1e-15'
  end_time = 3
  dt = 0.1
  dtmin = 0.1
  timestep_tolerance = 1e-6
  line_search = 'contact'
  nl_abs_tol = 1e-12
[]

[Postprocessors]
  [nl_its]
    type = NumNonlinearIterations
  []
  [total_nl_its]
    type = CumulativeValuePostprocessor
    postprocessor = nl_its
  []
  [l_its]
    type = NumLinearIterations
  []
  [total_l_its]
    type = CumulativeValuePostprocessor
    postprocessor = l_its
  []
  [contact]
    type = ContactDOFSetSize
    variable = frictionless_normal_lm
    subdomain = frictionless_secondary_subdomain
  []
  [avg_hydro]
    type = ElementAverageValue
    variable = hydrostatic_stress
    block = 'block'
  []
  [max_hydro]
    type = ElementExtremeValue
    variable = hydrostatic_stress
    block = 'block'
  []
  [min_hydro]
    type = ElementExtremeValue
    variable = hydrostatic_stress
    block = 'block'
    value_type = min
  []
  [avg_vonmises]
    type = ElementAverageValue
    variable = vonmises_stress
    block = 'block'
  []
  [max_vonmises]
    type = ElementExtremeValue
    variable = vonmises_stress
    block = 'block'
  []
  [min_vonmises]
    type = ElementExtremeValue
    variable = vonmises_stress
    block = 'block'
    value_type = min
  []
[]

[Outputs]
  file_base = ${name}
  [comp]
    type = CSV
    show = 'contact'
  []
  [out]
    type = CSV
    file_base = '${name}_out'
  []
[]

[Debug]
  show_var_residual_norms = true
[]

(modules/solid_mechanics/test/tests/crystal_plasticity/twinning/coplanar_twin_hardening.i)

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]

[Mesh]
  [cube]
    type = GeneratedMeshGenerator
    dim = 3
    nx = 2
    ny = 2
    nz = 2
    elem_type = HEX8
  []
[]

[AuxVariables]
  [total_twin_volume_fraction]
    order = CONSTANT
    family = MONOMIAL
  []
  [twin_resistance_0]
    order = CONSTANT
    family = MONOMIAL
  []
  [twin_resistance_1]
    order = CONSTANT
    family = MONOMIAL
  []
  [twin_resistance_2]
    order = CONSTANT
    family = MONOMIAL
  []
  [twin_resistance_3]
    order = CONSTANT
    family = MONOMIAL
  []
  [twin_volume_fraction_0]
   order = CONSTANT
   family = MONOMIAL
  []
  [twin_volume_fraction_1]
   order = CONSTANT
   family = MONOMIAL
  []
  [twin_volume_fraction_2]
   order = CONSTANT
   family = MONOMIAL
  []
  [twin_volume_fraction_3]
   order = CONSTANT
   family = MONOMIAL
  []
  [twin_tau_0]
   order = CONSTANT
   family = MONOMIAL
  []
  [twin_tau_1]
   order = CONSTANT
   family = MONOMIAL
  []
  [twin_tau_2]
   order = CONSTANT
   family = MONOMIAL
  []
  [twin_tau_3]
   order = CONSTANT
   family = MONOMIAL
  []
[]

[Physics/SolidMechanics/QuasiStatic/all]
  strain = FINITE
  add_variables = true
  generate_output = stress_zz
[]

[AuxKernels]
  [total_twin_volume_fraction]
    type = MaterialRealAux
    variable = total_twin_volume_fraction
    property = total_volume_fraction_twins
    execute_on = timestep_end
  []
  [twin_resistance_0]
   type = MaterialStdVectorAux
   variable = twin_resistance_0
   property = slip_resistance
   index = 0
   execute_on = timestep_end
  []
  [twin_resistance_1]
   type = MaterialStdVectorAux
   variable = twin_resistance_1
   property = slip_resistance
   index = 1
   execute_on = timestep_end
  []
  [twin_resistance_2]
   type = MaterialStdVectorAux
   variable = twin_resistance_2
   property = slip_resistance
   index = 2
   execute_on = timestep_end
  []
  [twin_resistance_3]
   type = MaterialStdVectorAux
   variable = twin_resistance_3
   property = slip_resistance
   index = 3
   execute_on = timestep_end
  []
  [twin_volume_fraction_0]
   type = MaterialStdVectorAux
   variable = twin_volume_fraction_0
   property = twin_system_volume_fraction
   index = 0
   execute_on = timestep_end
  []
  [twin_volume_fraction_1]
   type = MaterialStdVectorAux
   variable = twin_volume_fraction_1
   property = twin_system_volume_fraction
   index = 1
   execute_on = timestep_end
  []
  [twin_volume_fraction_2]
   type = MaterialStdVectorAux
   variable = twin_volume_fraction_2
   property = twin_system_volume_fraction
   index = 2
   execute_on = timestep_end
  []
  [twin_volume_fraction_3]
   type = MaterialStdVectorAux
   variable = twin_volume_fraction_3
   property = twin_system_volume_fraction
   index = 3
   execute_on = timestep_end
  []
  [twin_tau_0]
    type = MaterialStdVectorAux
    variable = twin_tau_0
    property = applied_shear_stress
    index = 0
    execute_on = timestep_end
  []
  [twin_tau_1]
    type = MaterialStdVectorAux
    variable = twin_tau_1
    property = applied_shear_stress
    index = 1
    execute_on = timestep_end
  []
  [twin_tau_2]
    type = MaterialStdVectorAux
    variable = twin_tau_2
    property = applied_shear_stress
    index = 2
    execute_on = timestep_end
  []
  [twin_tau_3]
    type = MaterialStdVectorAux
    variable = twin_tau_3
    property = applied_shear_stress
    index = 3
    execute_on = timestep_end
  []
[]

[BCs]
  [fix_y]
    type = DirichletBC
    variable = disp_y
    preset = true
    boundary = 'bottom'
    value = 0
  []
  [fix_x]
    type = DirichletBC
    variable = disp_x
    boundary = 'left'
    value = 0
  []
  [fix_z]
    type = DirichletBC
    variable = disp_z
    boundary = 'back'
    value = 0
  []
  [tdisp]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = front
    function = '-1.0e-3*t'
  []
[]

[Materials]
  [elasticity_tensor]
    type = ComputeElasticityTensorCP
    C_ijkl = '1.08e5 6.034e4 6.034e4 1.08e5 6.03e4 1.08e5 2.86e4 2.86e4 2.86e4' #Tallon and Wolfenden. J. Phys. Chem. Solids (1979)
    fill_method = symmetric9
  []
  [stress]
    type = ComputeMultipleCrystalPlasticityStress
    crystal_plasticity_models = 'twin_only_xtalpl'
    tan_mod_type = exact
  []
  [twin_only_xtalpl]
    type = CrystalPlasticityTwinningKalidindiUpdate
    number_slip_systems = 4
    slip_sys_file_name = 'select_twin_systems_verify_hardening.txt'
    initial_twin_lattice_friction = 6.0
    non_coplanar_coefficient_twin_hardening = 0
    non_coplanar_twin_hardening_exponent = 0
    coplanar_coefficient_twin_hardening = 8e8
  []
[]

[Postprocessors]
  [stress_zz]
    type = ElementAverageValue
    variable = stress_zz
  []
  [total_twin_volume_fraction]
    type = ElementAverageValue
    variable = total_twin_volume_fraction
  []
  [twin_resistance_0]
    type = ElementAverageValue
    variable = twin_resistance_0
  []
  [twin_resistance_1]
    type = ElementAverageValue
    variable = twin_resistance_1
  []
  [twin_resistance_2]
    type = ElementAverageValue
    variable = twin_resistance_2
  []
  [twin_resistance_3]
    type = ElementAverageValue
    variable = twin_resistance_3
  []
  [twin_volume_fraction_0]
    type = ElementAverageValue
    variable = twin_volume_fraction_0
  []
  [twin_volume_fraction_1]
    type = ElementAverageValue
    variable = twin_volume_fraction_1
  []
  [twin_volume_fraction_2]
    type = ElementAverageValue
    variable = twin_volume_fraction_2
  []
  [twin_volume_fraction_3]
    type = ElementAverageValue
    variable = twin_volume_fraction_3
  []
[]

[Preconditioning]
  [smp]
    type = SMP
    full = true
  []
[]

[Executioner]
  type = Transient
  solve_type = 'PJFNK'

  petsc_options_iname = '-pc_type -pc_asm_overlap -sub_pc_type -ksp_type -ksp_gmres_restart'
  petsc_options_value = ' asm      2              lu            gmres     200'
  nl_abs_tol = 1e-10
  nl_rel_tol = 1e-10
  nl_abs_step_tol = 1e-10

  dt = 0.05
  dtmin = 1e-6
  dtmax = 10.0
  num_steps = 4
[]

[Outputs]
  csv = true
  perf_graph = true
[]

(test/tests/geomsearch/2d_moving_penetration/pl_test3qnns.i)

[GlobalParams]
  order = SECOND
  family = LAGRANGE
[]

[Mesh]
  file = pl_test3q.e
  displacements = 'disp_x disp_y'
[]

[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
[]

[AuxVariables]
  [./distance]
  [../]
  [./tangential_distance]
  [../]
  [./normal_x]
  [../]
  [./normal_y]
  [../]
  [./closest_point_x]
  [../]
  [./closest_point_y]
  [../]
  [./element_id]
  [../]
  [./side]
  [../]
[]

[Kernels]
  [./diff_x]
    type = Diffusion
    variable = disp_x
  [../]
  [./diff_y]
    type = Diffusion
    variable = disp_y
  [../]
[]

[AuxKernels]
  [./penetrate]
    type = PenetrationAux
    variable = distance
    boundary = 11            #secondary
    paired_boundary = 12     #primary
  [../]

  [./penetrate2]
    type = PenetrationAux
    variable = distance
    boundary = 12            #secondary
    paired_boundary = 11     #primary
    normal_smoothing_method = nodal_normal_based
  [../]

  [./penetrate3]
    type = PenetrationAux
    variable = tangential_distance
    boundary = 11
    paired_boundary = 12
    quantity = tangential_distance
  [../]

  [./penetrate4]
    type = PenetrationAux
    variable = tangential_distance
    boundary = 12
    paired_boundary = 11
    quantity = tangential_distance
  [../]

  [./penetrate5]
    type = PenetrationAux
    variable = normal_x
    boundary = 11
    paired_boundary = 12
    quantity = normal_x
  [../]

  [./penetrate6]
    type = PenetrationAux
    variable = normal_x
    boundary = 12
    paired_boundary = 11
    quantity = normal_x
  [../]

  [./penetrate7]
    type = PenetrationAux
    variable = normal_y
    boundary = 11
    paired_boundary = 12
    quantity = normal_y
  [../]

  [./penetrate8]
    type = PenetrationAux
    variable = normal_y
    boundary = 12
    paired_boundary = 11
    quantity = normal_y
  [../]

  [./penetrate9]
    type = PenetrationAux
    variable = closest_point_x
    boundary = 11
    paired_boundary = 12
    quantity = closest_point_x
  [../]

  [./penetrate10]
    type = PenetrationAux
    variable = closest_point_x
    boundary = 12
    paired_boundary = 11
    quantity = closest_point_x
  [../]

  [./penetrate11]
    type = PenetrationAux
    variable = closest_point_y
    boundary = 11
    paired_boundary = 12
    quantity = closest_point_y
  [../]

  [./penetrate12]
    type = PenetrationAux
    variable = closest_point_y
    boundary = 12
    paired_boundary = 11
    quantity = closest_point_y
  [../]

  [./penetrate13]
    type = PenetrationAux
    variable = element_id
    boundary = 11
    paired_boundary = 12
    quantity = element_id
  [../]

  [./penetrate14]
    type = PenetrationAux
    variable = element_id
    boundary = 12
    paired_boundary = 11
    quantity = element_id
  [../]

  [./penetrate15]
    type = PenetrationAux
    variable = side
    boundary = 11
    paired_boundary = 12
    quantity = side
  [../]

  [./penetrate16]
    type = PenetrationAux
    variable = side
    boundary = 12
    paired_boundary = 11
    quantity = side
  [../]
[]

[BCs]
  [./b1x]
    type = DirichletBC
    variable = disp_x
    boundary = 1
    value = 0
  [../]

  [./b1y]
    type = DirichletBC
    variable = disp_y
    boundary = 1
    value = 0
  [../]

  [./b2x]
    type = DirichletBC
    variable = disp_x
    boundary = 2
    value = 0
  [../]

  [./b2y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 2
    function = disp_y
  [../]
[]

[Functions]
  [./disp_y]
    type = PiecewiseLinear
    x = '0.0 0.25 0.75 1.0'
    y = '0.0 2.0 -2.0  0.0'
  [../]
[]

[Executioner]
  type = Transient

  solve_type = 'PJFNK'
  petsc_options = '-snes_ksp_ew'

  nl_rel_tol = 1e-10
  l_max_its = 10

  start_time = 0.0
  dt = 0.02
  end_time = 1.0
  [./Quadrature]
    order = THIRD
  [../]
[]

[Outputs]
  file_base = pl_test3qnns_out
  exodus = true
[]

[NodalNormals]
  boundary = 11
  corner_boundary = 20
[]

(modules/contact/test/tests/bouncing-block-contact/bouncing-block-ranfs.i)

starting_point = 2e-1
offset = 1e-2

[GlobalParams]
  displacements = 'disp_x disp_y'
  diffusivity = 1e0
  ping_pong_protection = true
[]

[Mesh]
  file = long-bottom-block-no-lower-d.e
[]

[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
[]

[ICs]
  [./disp_y]
    block = 2
    variable = disp_y
    value = ${fparse starting_point + offset}
    type = ConstantIC
  [../]
[]

[Kernels]
  [./disp_x]
    type = MatDiffusion
    variable = disp_x
  [../]
  [./disp_y]
    type = MatDiffusion
    variable = disp_y
  [../]
[]

[Contact]
  [./top_bottom]
    secondary = 10
    primary = 20

    model = frictionless
    formulation = ranfs
  [../]
[]

[BCs]
  [./botx]
    type = DirichletBC
    variable = disp_x
    boundary = 40
    value = 0.0
  [../]
  [./boty]
    type = DirichletBC
    variable = disp_y
    boundary = 40
    value = 0.0
  [../]
  [./topy]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 30
    function = '${starting_point} * cos(2 * pi / 40 * t) + ${offset}'
  [../]
  [./leftx]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 50
    function = '1e-2 * t'
  [../]
[]

[Executioner]
  type = Transient
  end_time = 200
  dt = 5
  dtmin = 2.5
  solve_type = 'PJFNK'
  petsc_options = '-snes_converged_reason -ksp_converged_reason'
  petsc_options_iname = '-pc_type -pc_hypre_type -mat_mffd_err'
  petsc_options_value = 'hypre    boomeramg      1e-5'
  l_max_its = 30
  nl_max_its = 20
  line_search = 'none'
[]

[Debug]
  show_var_residual_norms = true
[]

[Outputs]
  [exo]
    type = Exodus
  []
  checkpoint = true
[]

[Preconditioning]
  [./smp]
    type = SMP
    full = true
  [../]
[]

[Postprocessors]
  [./num_nl]
    type = NumNonlinearIterations
  [../]
  [./cumulative]
    type = CumulativeValuePostprocessor
    postprocessor = num_nl
  [../]
[]

(modules/solid_mechanics/test/tests/mohr_coulomb/planar1.i)

# apply uniform stretch in x, y and z directions.
# With cohesion = 10, friction_angle = 60deg, the
# algorithm should return to
# sigma_m = 10*Cos(60)/Sin(60) = 5.773503
# using planar surfaces (not smoothed)

[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]


[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
[]

[Kernels]
  [SolidMechanics]
    displacements = 'disp_x disp_y disp_z'
  [../]
[]


[BCs]
  [./x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'front back'
    function = '1E-6*x'
  [../]
  [./y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'front back'
    function = '1.1E-6*y'
  [../]
  [./z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'front back'
    function = '1.2E-6*z'
  [../]
[]

[AuxVariables]
  [./stress_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./iter]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]

[AuxKernels]
  [./stress_xx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xx
    index_i = 0
    index_j = 0
  [../]
  [./stress_xy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xy
    index_i = 0
    index_j = 1
  [../]
  [./stress_xz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xz
    index_i = 0
    index_j = 2
  [../]
  [./stress_yy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yy
    index_i = 1
    index_j = 1
  [../]
  [./stress_yz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yz
    index_i = 1
    index_j = 2
  [../]
  [./stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zz
    index_i = 2
    index_j = 2
  [../]
  [./f]
    type = MaterialStdVectorAux
    index = 0
    property = plastic_yield_function
    variable = f
  [../]
  [./iter]
    type = MaterialRealAux
    property = plastic_NR_iterations
    variable = iter
  [../]
[]

[Postprocessors]
  [./s_xx]
    type = PointValue
    point = '0 0 0'
    variable = stress_xx
  [../]
  [./s_xy]
    type = PointValue
    point = '0 0 0'
    variable = stress_xy
  [../]
  [./s_xz]
    type = PointValue
    point = '0 0 0'
    variable = stress_xz
  [../]
  [./s_yy]
    type = PointValue
    point = '0 0 0'
    variable = stress_yy
  [../]
  [./s_yz]
    type = PointValue
    point = '0 0 0'
    variable = stress_yz
  [../]
  [./s_zz]
    type = PointValue
    point = '0 0 0'
    variable = stress_zz
  [../]
  [./f]
    type = PointValue
    point = '0 0 0'
    variable = f
  [../]
  [./iter]
    type = PointValue
    point = '0 0 0'
    variable = iter
  [../]
[]

[UserObjects]
  [./coh]
    type = SolidMechanicsHardeningConstant
    value = 10
  [../]
  [./phi]
    type = SolidMechanicsHardeningConstant
    value = 1.04719756
  [../]
  [./psi]
    type = SolidMechanicsHardeningConstant
    value = 0.1
  [../]
  [./mc]
    type = SolidMechanicsPlasticMohrCoulombMulti
    cohesion = coh
    friction_angle = phi
    dilation_angle = psi
    yield_function_tolerance = 1E-3
    shift = 1E-12
    internal_constraint_tolerance = 1E-9
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    block = 0
    fill_method = symmetric_isotropic
    C_ijkl = '0 1E7'
  [../]
  [./strain]
    type = ComputeFiniteStrain
    block = 0
    displacements = 'disp_x disp_y disp_z'
  [../]
  [./mc]
    type = ComputeMultiPlasticityStress
    block = 0
    ep_plastic_tolerance = 1E-10
    deactivation_scheme = safe
    plastic_models = mc
    debug_fspb = crash
    debug_jac_at_stress = '10 0 0 0 10 0 0 0 10'
    debug_jac_at_pm = 1
    debug_jac_at_intnl = 1
    debug_stress_change = 1E-5
    debug_pm_change = 1E-6
    debug_intnl_change = 1E-6
  [../]
[]


[Executioner]
  end_time = 1
  dt = 1
  type = Transient
[]


[Outputs]
  file_base = planar1
  exodus = false
  [./csv]
    type = CSV
    [../]
[]

(test/tests/multiapps/auto_diff_auto_scaling/sub.i)

[Mesh]
  type = GeneratedMesh
  dim = 2
  nx = 10
  ny = 10
[]

[Variables]
  [./u]
  [../]
[]

[Kernels]
  [./diff]
    type = ADDiffusion
    variable = u
  [../]
[]

[BCs]
  [./left]
    type = DirichletBC
    variable = u
    boundary = left
    value = 0
  [../]
  [./right]
    type = FunctionDirichletBC
    variable = u
    boundary = right
    function = 't'
  [../]
[]

[Preconditioning]
  [./smp]
    type = SMP
    full = true
  [../]
[]

[Executioner]
  type = Transient
  num_steps = 2
  solve_type = 'Newton'
  petsc_options_iname = '-pc_type -pc_hypre_type'
  petsc_options_value = 'hypre boomeramg'
  automatic_scaling = true
  verbose = true
[]

[Outputs]
  exodus = true
[]

(test/tests/multiapps/picard/function_dt_sub.i)

[Mesh]
  type = GeneratedMesh
  dim = 1
  xmin = 0
  xmax = 1
  nx = 10
[]

[Functions]
  [./u_fn]
    type = ParsedFunction
    expression = t*x
  [../]
  [./ffn]
    type = ParsedFunction
    expression = x
  [../]

  [./dts]
    type = PiecewiseLinear
    x = '0.1  10'
    y = '0.1  10'
  [../]
[]

[Variables]
  [./u]
  [../]
[]

[Kernels]
  [./diff]
    type = Diffusion
    variable = u
  [../]
  [./td]
    type = TimeDerivative
    variable = u
  [../]
  [./fn]
    type = BodyForce
    variable = u
    function = ffn
  [../]
[]

[BCs]
  [./left]
    type = DirichletBC
    variable = u
    boundary = left
    value = 0
  [../]
  [./right]
    type = FunctionDirichletBC
    variable = u
    boundary = right
    function = u_fn
  [../]
[]

[Executioner]
  type = Transient
  dt = 0.1
  solve_type = 'PJFNK'

  nl_abs_tol = 1e-10
  start_time = 0
  num_steps = 3
  [./TimeStepper]
    type = FunctionDT
    function = dts
  [../]
[]

[Outputs]
  exodus = true
[]

(test/tests/multiapps/restart_multilevel/parent2.i)

[Mesh]
  type = GeneratedMesh
  dim = 2
  xmin = 0
  ymin = 0
  xmax = 1
  ymax = 1
  nx = 10
  ny = 10
[]

[Functions]
  [v_fn]
    type = ParsedFunction
    expression = t*x
  []
  [ffn]
    type = ParsedFunction
    expression = x
  []
[]

[AuxVariables]
  [v]
  []
[]

[Variables]
  [u]
  []
[]

[Kernels]
  [diff]
    type = Diffusion
    variable = u
  []
  [td]
    type = TimeDerivative
    variable = u
  []
  [ufn]
    type = BodyForce
    variable = u
    function = ffn
  []
[]

[BCs]
  [all]
    type = FunctionDirichletBC
    variable = u
    boundary = 'left right top bottom'
    function = v_fn
  []
[]

[Executioner]
  type = Transient
  num_steps = 5
  dt = 0.1
  solve_type = 'PJFNK'
[]

[Outputs]
  exodus = true
[]

[MultiApps]
  [sub_app]
    app_type = MooseTestApp
    type = TransientMultiApp
    input_files = 'sub.i'
    execute_on = timestep_end
    positions = '0 -1 0'
  []
[]

[Transfers]
  [from_sub]
    type = MultiAppGeneralFieldNearestLocationTransfer
    from_multi_app = sub_app
    source_variable = u
    variable = v
  []
[]

[Problem]
  restart_file_base = parent_out_cp/0005
[]

(modules/heat_transfer/test/tests/truss_heat_conduction/rectangle_w_strip.i)

[Mesh]
  [rectangle]
    type = GeneratedMeshGenerator
    dim = 2
    nx = 5
    ny = 50
    xmin = -0.5
    xmax = 0.5
    ymin = -1.25
    ymax = 1.25
  []
  [strip]
    type = SubdomainBoundingBoxGenerator
    input = rectangle
    bottom_left = '-0.5 -0.05 0'
    top_right = '0.5 0.05 0'
    block_id = 2
    block_name = 'strip'
    location = INSIDE
  []
  [top_bottom_layers]
    type = SubdomainBoundingBoxGenerator
    input = strip
    bottom_left = '-0.5 -0.05 0'
    top_right = '0.5 0.05 0'
    block_id = 1
    block_name = 'rectangle'
    location = OUTSIDE
  []
[]

[Variables]
  [temperature]
  []
[]

[Kernels]
  [time_derivative]
    type = HeatConductionTimeDerivative
    variable = temperature
  []
  [heat_conduction]
    type = HeatConduction
    variable = temperature
  []
[]

[Materials]
  [block]
    type = GenericConstantMaterial
    block = 'rectangle'
    prop_names =  'thermal_conductivity specific_heat density'
    prop_values = '1.0                 1.0           1.0' # W/(cm K), J/(g K), g/cm^3
  []
  [strip]
    type = GenericConstantMaterial
    block = 'strip'
    prop_names =  'thermal_conductivity specific_heat density'
    prop_values = '10.0                 1.0           1.0' # W/(cm K), J/(g K), g/cm^3
  []
[]

[BCs]
  [right]
    type = FunctionDirichletBC
    variable = temperature
    boundary = 'right'
    function = '10*t'
  []
[]

[VectorPostprocessors]
  [x_n0_25]
    type = LineValueSampler
    start_point = '-0.25 0 0'
    end_point = '-0.25 1.25 0'
    num_points = 100
    variable = 'temperature'
    sort_by = id
  []
  [x_0_25]
    type = LineValueSampler
    start_point = '0.25 0 0'
    end_point = '0.25 1.25 0'
    num_points = 100
    variable = 'temperature'
    sort_by = id
  []
[]

[Executioner]
  type = Transient
  start_time = 0
  dt = 1
  end_time = 1
  solve_type = 'PJFNK'
  petsc_options_iname = '-pc_type -pc_hypre_type'
  petsc_options_value = 'hypre boomeramg'
[]

[Outputs]
  exodus = true
  [csv]
    type = CSV
    file_base = 'csv/rectangle_w_strip'
    time_data = true
  []
[]

(modules/combined/test/tests/elastic_patch/elastic_patch_rz_nonlinear.i)

#
# This problem is taken from the Abaqus verification manual:
#   "1.5.4 Patch test for axisymmetric elements"
# The stress solution is given as:
#   xx = yy = zz = 19900
#   xy = 0
#
# If strain = log(1+1e-2) = 0.00995033...
# then
# stress = E/(1+PR)/(1-2*PR)*(1-PR +PR +PR)*strain = 19900.6617
# with E = 1e6 and PR = 0.25.
#
# The code computes stress = 19900.6617 when
# increment_calculation = eigen.  There is a small error when the
# rashidapprox option is used.
#
# Since the strain is 1e-3 in all three directions, the new density should be
#   new_density = original_density * V_0 / V
#   new_density = 0.283 / (1 + 9.95e-3 + 9.95e-3 + 9,95e-3) = 0.2747973
#
# The code computes a new density of .2746770


[GlobalParams]
  displacements = 'disp_x disp_y'
  temperature = temp
[]

[Problem]
  coord_type = RZ
[]

[Mesh]
  file = elastic_patch_rz.e
[]

[Variables]
  [temp]
    initial_condition = 117.56
  []
[]

[Physics/SolidMechanics/QuasiStatic/All]
  strain = FINITE
  decomposition_method = EigenSolution
  add_variables = true
  generate_output = 'stress_xx stress_yy stress_zz stress_xy stress_yz stress_zx'
[]

[Kernels]
  [heat]
    type = TimeDerivative
    variable = temp
  []
[]

[BCs]
  [ur]
    type = FunctionDirichletBC
    variable = disp_x
    preset = false
    boundary = 10
    function = '1e-2*x'
  []
  [uz]
    type = FunctionDirichletBC
    variable = disp_y
    preset = false
    boundary = 10
    function = '1e-2*y'
  []
[]

[Materials]
  [elasticity_tensor]
    type = ComputeIsotropicElasticityTensor
    youngs_modulus = 1e6
    poissons_ratio = 0.25
  []
  [stress]
    type = ComputeFiniteStrainElasticStress
  []

  [density]
    type = Density
    density = 0.283
    outputs = all
  []
[]

[Executioner]
  type = Transient
  solve_type = Newton

  end_time = 1.0
[]

[Outputs]
  exodus = true
[]

(test/tests/geomsearch/3d_moving_penetration_smoothing/pl_test4nnstt.i)

[GlobalParams]
  order = FIRST
  family = LAGRANGE
[]

[Mesh]
  file = pl_test4tt.e
  displacements = 'disp_x disp_y disp_z'
[]

[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
[]

[AuxVariables]
  [./distance]
  [../]
  [./tangential_distance]
  [../]
  [./normal_x]
  [../]
  [./normal_y]
  [../]
  [./normal_z]
  [../]
  [./closest_point_x]
  [../]
  [./closest_point_y]
  [../]
  [./closest_point_z]
  [../]
#  [./element_id]
#  [../]
  [./side]
  [../]
[]

[Kernels]
  [./diff_x]
    type = Diffusion
    variable = disp_x
  [../]
  [./diff_y]
    type = Diffusion
    variable = disp_y
  [../]
  [./diff_z]
    type = Diffusion
    variable = disp_z
  [../]
[]

[AuxKernels]
  [./penetrate]
    type = PenetrationAux
    variable = distance
    boundary = 11            #secondary
    paired_boundary = 12     #primary
    tangential_tolerance = 0.09
  [../]

  [./penetrate2]
    type = PenetrationAux
    variable = distance
    boundary = 12            #secondary
    paired_boundary = 11     #primary
    tangential_tolerance = 0.09
    normal_smoothing_method = nodal_normal_based
  [../]

  [./penetrate3]
    type = PenetrationAux
    variable = tangential_distance
    boundary = 11
    paired_boundary = 12
    quantity = tangential_distance
  [../]

  [./penetrate4]
    type = PenetrationAux
    variable = tangential_distance
    boundary = 12
    paired_boundary = 11
    quantity = tangential_distance
  [../]

  [./penetrate5]
    type = PenetrationAux
    variable = normal_x
    boundary = 11
    paired_boundary = 12
    quantity = normal_x
  [../]

  [./penetrate6]
    type = PenetrationAux
    variable = normal_x
    boundary = 12
    paired_boundary = 11
    quantity = normal_x
  [../]

  [./penetrate7]
    type = PenetrationAux
    variable = normal_y
    boundary = 11
    paired_boundary = 12
    quantity = normal_y
  [../]

  [./penetrate8]
    type = PenetrationAux
    variable = normal_y
    boundary = 12
    paired_boundary = 11
    quantity = normal_y
  [../]

  [./penetrate9]
    type = PenetrationAux
    variable = normal_z
    boundary = 11
    paired_boundary = 12
    quantity = normal_z
  [../]

  [./penetrate10]
    type = PenetrationAux
    variable = normal_z
    boundary = 12
    paired_boundary = 11
    quantity = normal_z
  [../]

  [./penetrate11]
    type = PenetrationAux
    variable = closest_point_x
    boundary = 11
    paired_boundary = 12
    quantity = closest_point_x
  [../]

  [./penetrate12]
    type = PenetrationAux
    variable = closest_point_x
    boundary = 12
    paired_boundary = 11
    quantity = closest_point_x
  [../]

  [./penetrate13]
    type = PenetrationAux
    variable = closest_point_y
    boundary = 11
    paired_boundary = 12
    quantity = closest_point_y
  [../]

  [./penetrate14]
    type = PenetrationAux
    variable = closest_point_y
    boundary = 12
    paired_boundary = 11
    quantity = closest_point_y
  [../]

  [./penetrate15]
    type = PenetrationAux
    variable = closest_point_z
    boundary = 11
    paired_boundary = 12
    quantity = closest_point_z
  [../]

  [./penetrate16]
    type = PenetrationAux
    variable = closest_point_z
    boundary = 12
    paired_boundary = 11
    quantity = closest_point_z
  [../]

#  [./penetrate17]
#    type = PenetrationAux
#    variable = element_id
#    boundary = 11
#    paired_boundary = 12
#    quantity = element_id
#  [../]
#
#  [./penetrate18]
#    type = PenetrationAux
#    variable = element_id
#    boundary = 12
#    paired_boundary = 11
#    quantity = element_id
#  [../]

  [./penetrate19]
    type = PenetrationAux
    variable = side
    boundary = 11
    paired_boundary = 12
    quantity = side
  [../]

  [./penetrate20]
    type = PenetrationAux
    variable = side
    boundary = 12
    paired_boundary = 11
    quantity = side
  [../]
[]

[BCs]
  [./b1x]
    type = DirichletBC
    variable = disp_x
    boundary = 1
    value = 0
  [../]

  [./b1y]
    type = DirichletBC
    variable = disp_y
    boundary = 1
    value = 0
  [../]

  [./b1z]
    type = DirichletBC
    variable = disp_z
    boundary = 1
    value = 0
  [../]

  [./b2x]
    type = DirichletBC
    variable = disp_x
    boundary = 2
    value = 0
  [../]

  [./b2y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 2
    function = disp_y
  [../]

  [./b2z]
    type = DirichletBC
    variable = disp_z
    boundary = 2
    value = 0
  [../]
[]

[Functions]
  [./disp_y]
    type = PiecewiseLinear
    x = '0.0 0.25 0.75 1.0'
    y = '0.0 2.0 -2.0  0.0'
  [../]
[]

[Executioner]
  type = Transient

  solve_type = 'PJFNK'
  petsc_options = '-snes_ksp_ew'

  nl_rel_tol = 1e-9
  l_max_its = 10

  start_time = 0.0
  dt = 0.02
  end_time = 1.0
[]

[Outputs]
  file_base = pl_test4nnstt_out
  exodus = true
[]

[NodalNormals]
  boundary = 11
  corner_boundary = 20
[]

(modules/contact/test/tests/ranfs-and-scaling/bouncing-block-ranfs.i)

starting_point = 2e-1
offset = 1e-2

[GlobalParams]
  displacements = 'disp_x disp_y'
[]

[Mesh]
  file = long-bottom-block-no-lower-d-coarse.e
[]

[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
[]

[ICs]
  [./disp_y]
    block = 2
    variable = disp_y
    value = ${fparse starting_point + offset}
    type = ConstantIC
  [../]
[]

[Physics/SolidMechanics/QuasiStatic]
  [all]
    add_variables = false
    use_automatic_differentiation = true
    strain = SMALL
  []
[]

[Materials]
  [elasticity]
    type = ADComputeIsotropicElasticityTensor
    youngs_modulus = 1e3
    poissons_ratio = 0.3
  []
  [stress]
    type = ADComputeLinearElasticStress
  []
[]

[Constraints]
  [./disp_x]
    type = RANFSNormalMechanicalContact
    secondary = 10
    primary = 20
    variable = disp_x
    primary_variable = disp_x
    component = x
    normal_smoothing_distance = 0.1
  [../]
  [./disp_y]
    type = RANFSNormalMechanicalContact
    secondary = 10
    primary = 20
    variable = disp_y
    primary_variable = disp_y
    component = y
    normal_smoothing_distance = 0.1
  [../]
[]

[BCs]
  [./botx]
    type = DirichletBC
    variable = disp_x
    boundary = 40
    value = 0.0
  [../]
  [./boty]
    type = DirichletBC
    variable = disp_y
    boundary = 40
    value = 0.0
  [../]
  [./topy]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 30
    function = '${starting_point} * cos(2 * pi / 40 * t) + ${offset}'
  [../]
  [./leftx]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 50
    function = '1e-2 * t'
  [../]
[]

[Executioner]
  type = Transient
  end_time = 100
  dt = 5
  dtmin = 2.5
  solve_type = 'PJFNK'
  petsc_options = '-snes_converged_reason -ksp_converged_reason'
  petsc_options_iname = '-pc_type -pc_hypre_type -mat_mffd_err'
  petsc_options_value = 'hypre    boomeramg      1e-5'
  l_max_its = 30
  nl_max_its = 20
  line_search = 'none'
  automatic_scaling = true
  verbose = true
  scaling_group_variables = 'disp_x disp_y'
  resid_vs_jac_scaling_param = 1
  nl_rel_tol = 1e-12
  snesmf_reuse_base = false
[]

[Debug]
  show_var_residual_norms = true
[]

[Outputs]
  [exo]
    type = Exodus
  []
[]

[Preconditioning]
  [./smp]
    type = SMP
    full = true
  [../]
[]

[Postprocessors]
  [nl]
    type = NumNonlinearIterations
  []
  [lin]
    type = NumLinearIterations
  []
  [tot_nl]
    type = CumulativeValuePostprocessor
    postprocessor = nl
  []
  [tot_lin]
    type = CumulativeValuePostprocessor
    postprocessor = lin
  []
[]

(modules/solid_mechanics/test/tests/capped_mohr_coulomb/small_deform15.i)

# Using CappedMohrCoulomb with compressive failure only
# A single element is incrementally compressed in the z and x directions
# This causes the return direction to be along the hypersurface sigma_I = 0
# and the resulting stresses are checked to lie on the expected yield surface

[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]

[Physics/SolidMechanics/QuasiStatic]
  [./all]
    add_variables = true
    incremental = true
    generate_output = 'max_principal_stress mid_principal_stress min_principal_stress stress_xx stress_xy stress_xz stress_yy stress_yz stress_zz'
  [../]
[]

[BCs]
  [./x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'front back'
    function = '-2*x*t'
  [../]
  [./y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'front back'
    function = '0'
  [../]
  [./z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'front back'
    function = '-0.5*z*(t+1.5*t*t)'
  [../]
[]

[AuxVariables]
  [./yield_fcn]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]

[AuxKernels]
  [./yield_fcn_auxk]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 3
    variable = yield_fcn
  [../]
[]

[Postprocessors]
  [./s_I]
    type = PointValue
    point = '0 0 0'
    variable = max_principal_stress
  [../]
  [./s_II]
    type = PointValue
    point = '0 0 0'
    variable = mid_principal_stress
  [../]
  [./s_III]
    type = PointValue
    point = '0 0 0'
    variable = min_principal_stress
  [../]
  [./f]
    type = PointValue
    point = '0 0 0'
    variable = yield_fcn
  [../]
[]

[UserObjects]
  [./ts]
    type = SolidMechanicsHardeningConstant
    value = 1E6
  [../]
  [./cs]
    type = SolidMechanicsHardeningConstant
    value = 1
  [../]
  [./coh]
    type = SolidMechanicsHardeningConstant
    value = 1E6
  [../]
  [./ang]
    type = SolidMechanicsHardeningConstant
    value = 0.5
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    fill_method = symmetric_isotropic
    C_ijkl = '0 2.0'
  [../]
  [./tensile]
    type = CappedMohrCoulombStressUpdate
    tensile_strength = ts
    compressive_strength = cs
    cohesion = coh
    friction_angle = ang
    dilation_angle = ang
    smoothing_tol = 0.5
    yield_function_tol = 1.0E-12
  [../]
  [./stress]
    type = ComputeMultipleInelasticStress
    inelastic_models = tensile
    perform_finite_strain_rotations = false
  [../]
[]


[Executioner]
  end_time = 1
  dt = 0.1
  type = Transient
[]


[Outputs]
  file_base = small_deform15
  csv = true
[]

(modules/solid_mechanics/test/tests/multi/special_joint1.i)

# Plasticity models:
# WeakPlaneTensile with strength = 1000Pa
# WeakPlaneShear with cohesion = 0.1MPa and friction angle = 25
#
# Lame lambda = 1GPa.  Lame mu = 1.3GPa
#
# A line of elements is perturbed randomly, and return to the yield surface at each quadpoint is checked

[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1000
  ny = 125
  nz = 1
  xmin = 0
  xmax = 1000
  ymin = 0
  ymax = 125
  zmin = 0
  zmax = 1
[]

[GlobalParams]
  volumetric_locking_correction=true
[]

[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
[]

[Kernels]
  [SolidMechanics]
    displacements = 'disp_x disp_y disp_z'
  [../]
[]


[ICs]
  [./x]
    type = RandomIC
    min = -0.1
    max = 0.1
    variable = disp_x
  [../]
  [./y]
    type = RandomIC
    min = -0.1
    max = 0.1
    variable = disp_y
  [../]
  [./z]
    type = RandomIC
    min = -0.1
    max = 0.1
    variable = disp_z
  [../]
[]

[BCs]
  [./x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'front back'
    function = '0'
  [../]
  [./y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'front back'
    function = '0'
  [../]
  [./z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'front back'
    function = '0'
  [../]
[]

[AuxVariables]
  [./stress_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./linesearch]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./ld]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./constr_added]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./iter]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]

[AuxKernels]
  [./stress_xx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xx
    index_i = 0
    index_j = 0
  [../]
  [./stress_xy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xy
    index_i = 0
    index_j = 1
  [../]
  [./stress_xz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xz
    index_i = 0
    index_j = 2
  [../]
  [./stress_yy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yy
    index_i = 1
    index_j = 1
  [../]
  [./stress_yz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yz
    index_i = 1
    index_j = 2
  [../]
  [./stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zz
    index_i = 2
    index_j = 2
  [../]
  [./linesearch]
    type = MaterialRealAux
    property = plastic_linesearch_needed
    variable = linesearch
  [../]
  [./ld]
    type = MaterialRealAux
    property = plastic_linear_dependence_encountered
    variable = ld
  [../]
  [./constr_added]
    type = MaterialRealAux
    property = plastic_constraints_added
    variable = constr_added
  [../]
  [./iter]
    type = MaterialRealAux
    property = plastic_NR_iterations
    variable = iter
  [../]
[]

[Postprocessors]
  [./max_iter]
    type = ElementExtremeValue
    variable = iter
    outputs = console
  [../]
  [./av_linesearch]
    type = ElementAverageValue
    variable = linesearch
    outputs = 'console csv'
  [../]
  [./av_ld]
    type = ElementAverageValue
    variable = ld
    outputs = 'console csv'
  [../]
  [./av_constr_added]
    type = ElementAverageValue
    variable = constr_added
    outputs = 'console csv'
  [../]
  [./av_iter]
    type = ElementAverageValue
    variable = iter
    outputs = 'console csv'
  [../]
[]

[UserObjects]
  [./wpt_str]
    type = SolidMechanicsHardeningConstant
    value = 1000
  [../]
  [./wpt]
    type = SolidMechanicsPlasticWeakPlaneTensile
    tensile_strength = wpt_str
    yield_function_tolerance = 1.0
    internal_constraint_tolerance = 1.0E-7
  [../]

  [./wps_c]
    type = SolidMechanicsHardeningConstant
    value = 1.0E5
  [../]
  [./wps_tan_phi]
    type = SolidMechanicsHardeningConstant
    value = 0.466
  [../]
  [./wps_tan_psi]
    type = SolidMechanicsHardeningConstant
    value = 0.087
  [../]
  [./wps]
    type = SolidMechanicsPlasticWeakPlaneShear
    cohesion = wps_c
    tan_friction_angle = wps_tan_phi
    tan_dilation_angle = wps_tan_psi
    smoother = 0
    yield_function_tolerance = 1.0
    internal_constraint_tolerance = 1.0E-7
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    block = 0
    fill_method = symmetric_isotropic
    C_ijkl = '1.0E9 1.3E9'
  [../]
  [./strain]
    type = ComputeFiniteStrain
    block = 0
    displacements = 'disp_x disp_y disp_z'
  [../]
  [./multi]
    type = ComputeMultiPlasticityStress
    block = 0
    ep_plastic_tolerance = 1E-7

    plastic_models = 'wpt wps'
    max_NR_iterations = 5
    specialIC = 'joint'
    deactivation_scheme = 'safe'
    min_stepsize = 1
    max_stepsize_for_dumb = 1

    debug_fspb = crash
    debug_jac_at_stress = '10 0 0 0 10 0 0 0 10'
    debug_jac_at_pm = '1 1 1 1'
    debug_jac_at_intnl = '1 1 1 1'
    debug_stress_change = 1E1
    debug_pm_change = '1E-6 1E-6 1E-6 1E-6'
    debug_intnl_change = '1E-6 1E-6 1E-6 1E-6'
  [../]
[]


[Executioner]
  end_time = 1
  dt = 1
  type = Transient
[]


[Outputs]
  file_base = special_joint1
  exodus = false
  csv = true
[]

(test/tests/multiapps/picard_catch_up/sub_failing_problem.i)

[Mesh]
  type = GeneratedMesh
  dim = 2
  nx = 2
  ny = 2
[]

[Variables]
  [./v]
  [../]
[]

[AuxVariables]
  [./u]
  [../]
[]

[Kernels]
  [./diff_v]
    type = Diffusion
    variable = v
  [../]
  [./force_v]
    type = CoupledForce
    variable = v
    v = u
  [../]
[]

[BCs]
  [./left_v]
    type = DirichletBC
    variable = v
    boundary = left
    value = 1
  [../]
  [./right_v]
    type = FunctionDirichletBC
    variable = v
    boundary = right
    function = 't + 1'
  [../]
[]

[Problem]
  type = FailingProblem
  fail_steps = '2'
[../]

[Executioner]
  type = Transient
  num_steps = 2
  dt = 0.1
  solve_type = PJFNK
  petsc_options_iname = '-pc_type -pc_hypre_type'
  petsc_options_value = 'hypre boomeramg'
  nl_abs_tol = 1e-10
[]

[Outputs]
  exodus = true
[]

(modules/contact/test/tests/frictional/sliding_elastic_blocks_2d/sliding_elastic_blocks_2d_tp.i)

[Mesh]
  file = sliding_elastic_blocks_2d.e
[]

[GlobalParams]
  volumetric_locking_correction = false
  displacements = 'disp_x disp_y'
[]

[AuxVariables]
  [./penetration]
  [../]
  [./saved_x]
  [../]
  [./saved_y]
  [../]
  [./diag_saved_x]
  [../]
  [./diag_saved_y]
  [../]
  [./inc_slip_x]
  [../]
  [./inc_slip_y]
  [../]
  [./accum_slip_x]
  [../]
  [./accum_slip_y]
  [../]
  [./accum_slip]
  [../]
  [./tang_force_x]
  [../]
  [./tang_force_y]
  [../]
[]

[Functions]
  [./vertical_movement]
    type = ParsedFunction
    expression = -t
  [../]
[]

[Physics/SolidMechanics/QuasiStatic]
  [./all]
    add_variables = true
    strain = FINITE
    save_in = 'saved_x saved_y'
    diag_save_in = 'diag_saved_x diag_saved_y'
  [../]
[]


[AuxKernels]
  [./inc_slip_x]
    type = PenetrationAux
    variable = inc_slip_x
    quantity = incremental_slip_x
    boundary = 3
    paired_boundary = 2
  [../]
  [./inc_slip_y]
    type = PenetrationAux
    variable = inc_slip_y
    quantity = incremental_slip_y
    boundary = 3
    paired_boundary = 2
  [../]
  [./accum_slip]
    type = PenetrationAux
    variable = accum_slip
    execute_on = timestep_end
    quantity = accumulated_slip
    boundary = 3
    paired_boundary = 2
  [../]
  [./tangential_force_x]
    type = PenetrationAux
    variable = tang_force_x
    execute_on = timestep_end
    quantity = tangential_force_x
    boundary = 3
    paired_boundary = 2
  [../]
  [./tangential_force_y]
    type = PenetrationAux
    variable = tang_force_y
    execute_on = timestep_end
    quantity = tangential_force_y
    boundary = 3
    paired_boundary = 2
  [../]
  [./accum_slip_x]
    type = AccumulateAux
    variable = accum_slip_x
    accumulate_from_variable = inc_slip_x
    execute_on = timestep_end
  [../]
  [./accum_slip_y]
    type = AccumulateAux
    variable = accum_slip_y
    accumulate_from_variable = inc_slip_y
    execute_on = timestep_end
  [../]
  [./penetration]
    type = PenetrationAux
    variable = penetration
    boundary = 3
    paired_boundary = 2
  [../]
[]

[Postprocessors]
  [./bot_react_x]
    type = NodalSum
    variable = saved_x
    boundary = 1
  [../]
  [./bot_react_y]
    type = NodalSum
    variable = saved_y
    boundary = 1
  [../]
  [./top_react_x]
    type = NodalSum
    variable = saved_x
    boundary = 4
  [../]
  [./top_react_y]
    type = NodalSum
    variable = saved_y
    boundary = 4
  [../]
  [./ref_resid_x]
    type = NodalL2Norm
    execute_on = timestep_end
    variable = saved_x
  [../]
  [./ref_resid_y]
    type = NodalL2Norm
    execute_on = timestep_end
    variable = saved_y
  [../]
[]

[BCs]
  [./left_x]
    type = DirichletBC
    variable = disp_x
    boundary = 1
    value = 0.0
  [../]
  [./left_y]
    type = DirichletBC
    variable = disp_y
    boundary = 1
    value = 0.0
  [../]
  [./right_x]
    type = DirichletBC
    variable = disp_x
    boundary = 4
    value = -0.005
  [../]
  [./right_y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 4
    function = vertical_movement
  [../]
[]

[Materials]
  [./left]
    type = ComputeIsotropicElasticityTensor
    block = '1'
    youngs_modulus = 1.0e7
    poissons_ratio = 0.3
  [../]
  [./right]
    type = ComputeIsotropicElasticityTensor
    block = '2'
    youngs_modulus = 1.0e6
    poissons_ratio = 0.3
  [../]
  [./stress]
    type = ComputeFiniteStrainElasticStress
    block = '1 2'
  [../]
[]

[Preconditioning]
  [./SMP]
    type = SMP
    full = true
  [../]
[]

[Executioner]
  type = Transient
  solve_type = 'PJFNK'

  petsc_options_iname = '-pc_type -pc_factor_mat_solver_type'
  petsc_options_value = 'lu     superlu_dist'

  line_search = 'none'

  l_max_its = 100
  nl_max_its = 1000
  dt = 0.01
  end_time = 0.05
  num_steps = 1000
  nl_rel_tol = 1e-16
  nl_abs_tol = 1e-09
  dtmin = 0.01
  l_tol = 1e-3

  [./Predictor]
    type = SimplePredictor
    scale = 1.0
  [../]
[]

[Outputs]
  print_linear_residuals = true
  perf_graph = true
  [./out]
    type = Exodus
    elemental_as_nodal = true
  [../]
  [./console]
    type = Console
    max_rows = 5
  [../]
[]

[Contact]
  [./leftright]
    secondary = 3
    primary = 2
    model = coulomb
    formulation = tangential_penalty
    friction_coefficient = '0.25'
    penalty = 1e6
  [../]
[]

[Dampers]
  [./contact_slip]
    type = ContactSlipDamper
    secondary = 3
    primary = 2
  [../]
[]

(modules/navier_stokes/test/tests/finite_element/ins/cg-dg-hybrid/mms/lid-driven/hybrid-cg-dg-mms.i)

rho=1.1
mu=1.1
cp=1.1
k=1.1

[Mesh]
  [gen]
    type = GeneratedMeshGenerator
    dim = 2
    xmin = -1
    xmax = 1.0
    ymin = -1
    ymax = 1.0
    nx = 2
    ny = 2
  []
  [corner_node]
    type = ExtraNodesetGenerator
    new_boundary = 'pinned_node'
    nodes = '0'
    input = gen
  []
[]

[Variables]
  [u]
    family = MONOMIAL
  []
  [v]
    family = MONOMIAL
  []
  [pressure][]
  [T]
    family = MONOMIAL
  []
[]

[Kernels]
  [momentum_x_convection]
    type = ADConservativeAdvection
    variable = u
    velocity = 'velocity'
    advected_quantity = 'rhou'
  []
  [momentum_x_diffusion]
    type = MatDiffusion
    variable = u
    diffusivity = 'mu'
  []
  [momentum_x_pressure]
    type = PressureGradient
    integrate_p_by_parts = false
    variable = u
    pressure = pressure
    component = 0
  []
  [u_forcing]
    type = BodyForce
    variable = u
    function = forcing_u
  []
  [momentum_y_convection]
    type = ADConservativeAdvection
    variable = v
    velocity = 'velocity'
    advected_quantity = 'rhov'
  []
  [momentum_y_diffusion]
    type = MatDiffusion
    variable = v
    diffusivity = 'mu'
  []
  [momentum_y_pressure]
    type = PressureGradient
    integrate_p_by_parts = false
    variable = v
    pressure = pressure
    component = 1
  []
  [v_forcing]
    type = BodyForce
    variable = v
    function = forcing_v
  []
  [mass]
    type = ADConservativeAdvection
    variable = pressure
    velocity = velocity
    advected_quantity = -1
  []
  [p_forcing]
    type = BodyForce
    variable = pressure
    function = forcing_p
  []
  [T_convection]
    type = ADConservativeAdvection
    variable = T
    velocity = 'velocity'
    advected_quantity = 'rho_cp_temp'
  []
  [T_diffusion]
    type = MatDiffusion
    variable = T
    diffusivity = 'k'
  []
  [T_forcing]
    type = BodyForce
    variable = T
    function = forcing_T
  []
[]

[DGKernels]
  [momentum_x_convection]
    type = ADDGAdvection
    variable = u
    velocity = 'velocity'
    advected_quantity = 'rhou'
  []
  [momentum_x_diffusion]
    type = DGDiffusion
    variable = u
    sigma = 6
    epsilon = -1
    diff = 'mu'
  []
  [momentum_y_convection]
    type = ADDGAdvection
    variable = v
    velocity = 'velocity'
    advected_quantity = 'rhov'
  []
  [momentum_y_diffusion]
    type = DGDiffusion
    variable = v
    sigma = 6
    epsilon = -1
    diff = 'mu'
  []
  [T_convection]
    type = ADDGAdvection
    variable = T
    velocity = 'velocity'
    advected_quantity = 'rho_cp_temp'
  []
  [T_diffusion]
    type = DGDiffusion
    variable = T
    sigma = 6
    epsilon = -1
    diff = 'k'
  []
[]

[BCs]
  [u_walls]
    type = DGFunctionDiffusionDirichletBC
    boundary = 'left bottom right top'
    variable = u
    sigma = 6
    epsilon = -1
    function = exact_u
    diff = 'mu'
  []
  [v_walls]
    type = DGFunctionDiffusionDirichletBC
    boundary = 'left bottom right top'
    variable = v
    sigma = 6
    epsilon = -1
    function = exact_v
    diff = 'mu'
  []
  [pressure_pin]
    type = FunctionDirichletBC
    variable = pressure
    boundary = 'pinned_node'
    function = 'exact_p'
  []
  [T_walls]
    type = DGFunctionDiffusionDirichletBC
    boundary = 'left bottom right top'
    variable = T
    sigma = 6
    epsilon = -1
    function = exact_T
    diff = 'k'
  []
[]

[Materials]
  [const]
    type = ADGenericConstantMaterial
    prop_names = 'rho cp'
    prop_values = '${rho} ${cp}'
  []
  [const_reg]
    type = GenericConstantMaterial
    prop_names = 'mu k'
    prop_values = '${mu} ${k}'
  []
  [vel]
    type = ADVectorFromComponentVariablesMaterial
    vector_prop_name = 'velocity'
    u = u
    v = v
  []
  [rhou]
    type = ADParsedMaterial
    property_name = 'rhou'
    coupled_variables = 'u'
    material_property_names = 'rho'
    expression = 'rho*u'
  []
  [rhov]
    type = ADParsedMaterial
    property_name = 'rhov'
    coupled_variables = 'v'
    material_property_names = 'rho'
    expression = 'rho*v'
  []
  [rho_cp]
    type = ADParsedMaterial
    property_name = 'rho_cp'
    material_property_names = 'rho cp'
    expression = 'rho*cp'
  []
  [rho_cp_temp]
    type = ADParsedMaterial
    property_name = 'rho_cp_temp'
    material_property_names = 'rho cp'
    coupled_variables = 'T'
    expression = 'rho*cp*T'
  []
[]

[Functions]
  [exact_u]
    type = ParsedFunction
    expression = 'sin(y)*cos((1/2)*x*pi)'
  []
  [forcing_u]
    type = ParsedFunction
    expression = 'mu*sin(y)*cos((1/2)*x*pi) + (1/4)*pi^2*mu*sin(y)*cos((1/2)*x*pi) - 1/2*pi*rho*sin(x)*sin(y)*sin((1/2)*y*pi)*cos((1/2)*x*pi) + rho*sin(x)*cos(y)*cos((1/2)*x*pi)*cos((1/2)*y*pi) - pi*rho*sin(y)^2*sin((1/2)*x*pi)*cos((1/2)*x*pi) + sin(y)*cos(x)'
    symbol_names = 'mu rho'
    symbol_values = '${mu} ${rho}'
  []
  [exact_v]
    type = ParsedFunction
    expression = 'sin(x)*cos((1/2)*y*pi)'
  []
  [forcing_v]
    type = ParsedFunction
    expression = 'mu*sin(x)*cos((1/2)*y*pi) + (1/4)*pi^2*mu*sin(x)*cos((1/2)*y*pi) - pi*rho*sin(x)^2*sin((1/2)*y*pi)*cos((1/2)*y*pi) - 1/2*pi*rho*sin(x)*sin(y)*sin((1/2)*x*pi)*cos((1/2)*y*pi) + rho*sin(y)*cos(x)*cos((1/2)*x*pi)*cos((1/2)*y*pi) + sin(x)*cos(y)'
    symbol_names = 'mu rho'
    symbol_values = '${mu} ${rho}'
  []
  [exact_p]
    type = ParsedFunction
    expression = 'sin(x)*sin(y)'
  []
  [forcing_p]
    type = ParsedFunction
    expression = '(1/2)*pi*sin(x)*sin((1/2)*y*pi) + (1/2)*pi*sin(y)*sin((1/2)*x*pi)'
  []
  [exact_T]
    type = ParsedFunction
    expression = 'cos(x)*cos(y)'
  []
  [forcing_T]
    type = ParsedFunction
    expression = '-cp*rho*sin(x)*sin(y)*cos(x)*cos((1/2)*y*pi) - cp*rho*sin(x)*sin(y)*cos(y)*cos((1/2)*x*pi) - 1/2*pi*cp*rho*sin(x)*sin((1/2)*y*pi)*cos(x)*cos(y) - 1/2*pi*cp*rho*sin(y)*sin((1/2)*x*pi)*cos(x)*cos(y) + 2*k*cos(x)*cos(y)'
    symbol_names = 'rho cp k'
    symbol_values = '${rho} ${cp} ${k}'
  []
[]

[Executioner]
  type = Steady
  solve_type = 'NEWTON'
  petsc_options_iname = '-pc_type -pc_factor_shift_type -pc_factor_mat_solver_type -mat_mumps_icntl_14'
  petsc_options_value = 'lu       NONZERO               mumps                      300'
  nl_rel_tol = 1e-12
[]

[Outputs]
  exodus = true
  csv = true
[]

[Postprocessors]
  [h]
    type = AverageElementSize
    outputs = 'console csv'
    execute_on = 'timestep_end'
  []
  [L2u]
    type = ElementL2Error
    variable = u
    function = exact_u
    outputs = 'console csv'
    execute_on = 'timestep_end'
  []
  [L2v]
    variable = v
    function = exact_v
    type = ElementL2Error
    outputs = 'console csv'
    execute_on = 'timestep_end'
  []
  [L2T]
    variable = T
    function = exact_T
    type = ElementL2Error
    outputs = 'console csv'
    execute_on = 'timestep_end'
  []
  [L2p]
    variable = pressure
    function = exact_p
    type = ElementL2Error
    outputs = 'console csv'
    execute_on = 'timestep_end'
  []
[]

(modules/porous_flow/test/tests/jacobian/linear_por.i)

# Testing Jacobian resulting from PorousFlowPorosityLinear in a THM situation
[GlobalParams]
  PorousFlowDictator = dictator
  strain_at_nearest_qp = true
[]

[Mesh]
  [gmg]
    type = GeneratedMeshGenerator
    dim = 3
  []
[]

[Variables]
  [pp]
    initial_condition = 1
  []
  [T]
    initial_condition = 2
  []
  [disp]
  []
[]

[ICs]
  [disp]
    type = FunctionIC
    variable = disp
    function = '3 * x'
  []
[]

[BCs]
  [disp]
    type = FunctionDirichletBC
    boundary = 'left right top bottom front back'
    variable = disp
    function = '3 * x'
  []
[]

[PorousFlowFullySaturated]
  coupling_type = ThermoHydroMechanical
  fp = simple_fluid
  porepressure = pp
  temperature = T
  displacements = 'disp disp disp'
[]

[FluidProperties]
  [simple_fluid]
    type = SimpleFluidProperties
  []
[]

[Materials]
  [porosity]
    type = PorousFlowPorosityLinear
    porosity_ref = 0.5
    P_ref = 0.5
    P_coeff = 1.0
    T_ref = -3.0
    T_coeff = 1.0
    epv_ref = 2.5
    epv_coeff = 1.0
  []
  [perm]
    type = PorousFlowPermeabilityConst
    permeability = '0 0 0  0 0 0  0 0 0'
  []
  [matrix_energy]
    type = PorousFlowMatrixInternalEnergy
    density = 0.0
    specific_heat_capacity = 0.0
  []
  [thermal_conductivity]
    type = PorousFlowThermalConductivityIdeal
    dry_thermal_conductivity = '0 0 0  0 0 0  0 0 0'
  []
  [density]
    type = GenericConstantMaterial
    prop_names = density
    prop_values = 0.0
  []
  [elasticity]
    type = ComputeIsotropicElasticityTensor
    youngs_modulus = 1E-99
    poissons_ratio = 0
  []
  [strain]
    type = ComputeSmallStrain
    displacements = 'disp disp disp'
  []
  [stress]
    type = ComputeLinearElasticStress
  []
[]

[Preconditioning]
  [andy]
    type = SMP
    full = true
  []
[]

[Executioner]
  type = Transient
  solve_type = NEWTON
  num_steps = 1
#  petsc_options = '-snes_test_jacobian -snes_force_iteration'
#  petsc_options_iname = '-snes_type --ksp_type -pc_type -snes_convergence_test'
#  petsc_options_value = ' ksponly     preonly   none     skip'
[]

(modules/solid_mechanics/test/tests/capped_drucker_prager/small_deform3_inner_tip.i)

# apply repeated stretches in x z directions, and smaller stretches along the y direction,
# so that sigma_I = sigma_II,
# which means that lode angle = 30deg.
# The allows yield surface in meridional plane to be mapped out

[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]

[Physics/SolidMechanics/QuasiStatic]
  [./all]
    add_variables = true
    incremental = true
    generate_output = 'stress_xx stress_xy stress_xz stress_yy stress_yz stress_zz'
  [../]
[]

[BCs]
  [./x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'front back'
    function = '1E-6*x*t'
  [../]
  [./y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'front back'
    function = '-1.7E-6*y*t'
  [../]
  [./z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'front back'
    function = '1E-6*z*t'
  [../]
[]

[AuxVariables]
  [./mc_int]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./yield_fcn]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]

[AuxKernels]
  [./mc_int_auxk]
    type = MaterialStdVectorAux
    index = 0
    property = plastic_internal_parameter
    variable = mc_int
  [../]
  [./yield_fcn_auxk]
    type = MaterialStdVectorAux
    index = 0
    property = plastic_yield_function
    variable = yield_fcn
  [../]
[]

[Postprocessors]
  [./s_xx]
    type = PointValue
    point = '0 0 0'
    variable = stress_xx
  [../]
  [./s_xy]
    type = PointValue
    point = '0 0 0'
    variable = stress_xy
  [../]
  [./s_xz]
    type = PointValue
    point = '0 0 0'
    variable = stress_xz
  [../]
  [./s_yy]
    type = PointValue
    point = '0 0 0'
    variable = stress_yy
  [../]
  [./s_yz]
    type = PointValue
    point = '0 0 0'
    variable = stress_yz
  [../]
  [./s_zz]
    type = PointValue
    point = '0 0 0'
    variable = stress_zz
  [../]
  [./internal]
    type = PointValue
    point = '0 0 0'
    variable = mc_int
  [../]
  [./f]
    type = PointValue
    point = '0 0 0'
    variable = yield_fcn
  [../]
[]

[UserObjects]
  [./ts]
    type = SolidMechanicsHardeningConstant
    value = 1E5
  [../]
  [./cs]
    type = SolidMechanicsHardeningConstant
    value = 1E5
  [../]
  [./mc_coh]
    type = SolidMechanicsHardeningConstant
    value = 10
  [../]
  [./mc_phi]
    type = SolidMechanicsHardeningConstant
    value = 35
    convert_to_radians = true
  [../]
  [./mc_psi]
    type = SolidMechanicsHardeningConstant
    value = 5
    convert_to_radians = true
  [../]
  [./dp]
    type = SolidMechanicsPlasticDruckerPrager
    mc_cohesion = mc_coh
    mc_friction_angle = mc_phi
    mc_dilation_angle = mc_psi
    mc_interpolation_scheme = inner_tip
    yield_function_tolerance = 1      # irrelevant here
    internal_constraint_tolerance = 1 # irrelevant here
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    block = 0
    fill_method = symmetric_isotropic
    C_ijkl = '0 1E7'
  [../]
  [./admissible]
    type = ComputeMultipleInelasticStress
    inelastic_models = mc
    perform_finite_strain_rotations = false
  [../]
  [./mc]
    type = CappedDruckerPragerStressUpdate
    DP_model = dp
    tensile_strength = ts
    compressive_strength = cs
    yield_function_tol = 1E-8
    tip_smoother = 8
    smoothing_tol = 1E-7
  [../]
[]


[Executioner]
  end_time = 10
  dt = 1
  type = Transient
[]


[Outputs]
  file_base = small_deform3_inner_tip
  exodus = false
  [./csv]
    type = CSV
  [../]
[]

(modules/solid_mechanics/test/tests/material_limit_time_step/elas_plas/nafems_nl1_lim.i)

#
# Tests material model IsotropicPlasticity with material based time stepper
# Boundary conditions from NAFEMS test NL1
#
[GlobalParams]
  order = FIRST
  family = LAGRANGE
  volumetric_locking_correction = true
  displacements = 'disp_x disp_y'
[]

[Mesh]#Comment
  file = one_elem2.e
[] # Mesh

[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
[] # Variables

[AuxVariables]
  [./stress_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./vonmises]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./elastic_strain_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./plastic_strain_eff]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./tot_strain_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
[] # AuxVariables

[Kernels]
  [SolidMechanics]
    use_displaced_mesh = true
  [../]
[]

[AuxKernels]
  [./stress_xx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xx
    index_i = 0
    index_j = 0
  [../]
  [./stress_yy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yy
    index_i = 1
    index_j = 1
  [../]
  [./stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zz
    index_i = 2
    index_j = 2
  [../]
  [./stress_xy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xy
    index_i = 0
    index_j = 1
  [../]
  [./vonmises]
    type = RankTwoScalarAux
    rank_two_tensor = stress
    variable = vonmises
    scalar_type = VonMisesStress
    execute_on = timestep_end
  [../]
  [./elastic_strain_yy]
    type = RankTwoAux
    rank_two_tensor = elastic_strain
    variable = elastic_strain_yy
    index_i = 1
    index_j = 1
  [../]
  [./plastic_strain_eff]
    type = MaterialRealAux
    property = effective_plastic_strain
    variable = plastic_strain_eff
  [../]
  [./tot_strain_yy]
    type = RankTwoAux
    rank_two_tensor = total_strain
    variable = tot_strain_yy
    index_i = 1
    index_j = 1
  [../]
[] # AuxKernels

[Functions]
  [./appl_dispx]
    type = PiecewiseLinear
    x = '0   1.0   2.0   3.0  4.0   5.0  6.0  7.0  8.0'
    y = '0.0 0.25e-4 0.50e-4 0.50e-4 0.50e-4 0.25e-4 0.0 0.0 0.0'
  [../]
  [./appl_dispy]
    type = PiecewiseLinear
    x = '0   1.0   2.0   3.0  4.0   5.0  6.0  7.0  8.0'
    y = '0.0 0.0  0.0 0.25e-4 0.50e-4 0.50e-4 0.50e-4  0.25e-4 0.0 '
  [../]
[]

[BCs]
  [./side_x]
    type = DirichletBC
    variable = disp_x
    boundary = 101
    value = 0.0
  [../]
  [./origin_x]
    type = DirichletBC
    variable = disp_x
    boundary = 103
    value = 0.0
  [../]
  [./bot_y]
    type = DirichletBC
    variable = disp_y
    boundary = 102
    value = 0.0
  [../]
  [./origin_y]
    type = DirichletBC
    variable = disp_y
    boundary = 103
    value = 0.0
  [../]
  [./top_y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 1
    function = appl_dispy
  [../]
  [./right_x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 2
    function = appl_dispx
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeIsotropicElasticityTensor
    block = 1
    youngs_modulus = 250e9
    poissons_ratio = 0.25
  [../]
  [./strain]
    type = ComputePlaneFiniteStrain
    block = 1
  [../]
  [./stress]
    type = ComputeMultipleInelasticStress
    inelastic_models = 'isoplas'
    block = 1
  [../]
  [./isoplas]
    type = IsotropicPlasticityStressUpdate
    yield_stress = 5e6
    hardening_constant = 0.0
    relative_tolerance = 1e-20
    absolute_tolerance = 1e-8
    max_inelastic_increment = 0.000001
  [../]
[]

[Executioner]
  type = Transient
  solve_type = 'PJFNK'

  nl_rel_tol = 1e-10
  nl_abs_tol = 1e-12
  l_tol = 1e-4
  l_max_its = 100
  nl_max_its = 20

  [./TimeStepper]
    type = IterationAdaptiveDT
    dt = 0.1
    time_t = '1.0  2.0  3.0  4.0  5.0  6.0  7.0  8.0'
    time_dt = '0.1 0.1  0.1  0.1  0.1  0.1  0.1  0.1'
    optimal_iterations = 30
    iteration_window = 9
    growth_factor = 2.0
    cutback_factor = 0.5
    timestep_limiting_postprocessor = matl_ts_min
  [../]

  start_time = 0.0
  num_steps = 1000
  end_time = 8.0
[] # Executioner

[Postprocessors]
  [./matl_ts_min]
    type = MaterialTimeStepPostprocessor
  [../]
  [./stress_xx]
    type = ElementAverageValue
    variable = stress_xx
  [../]
  [./stress_yy]
    type = ElementAverageValue
    variable = stress_yy
  [../]
  [./stress_zz]
    type = ElementAverageValue
    variable = stress_zz
  [../]
  [./vonmises]
    type = ElementAverageValue
    variable = vonmises
  [../]
  [./el_strain_yy]
    type = ElementAverageValue
    variable = elastic_strain_yy
  [../]
  [./plas_strain_eff]
    type = ElementAverageValue
    variable = plastic_strain_eff
  [../]
  [./tot_strain_yy]
    type = ElementAverageValue
    variable = tot_strain_yy
  [../]
  [./disp_x1]
    type = NodalVariableValue
    nodeid = 0
    variable = disp_x
  [../]
  [./disp_x4]
    type = NodalVariableValue
    nodeid = 3
    variable = disp_x
  [../]
  [./disp_y1]
    type = NodalVariableValue
    nodeid = 0
    variable = disp_y
  [../]
  [./disp_y4]
    type = NodalVariableValue
    nodeid = 3
    variable = disp_y
  [../]
  [./_dt]
    type = TimestepSize
  [../]
[]

[Outputs]
  exodus = true
  csv = true
  [./console]
    type = Console
    output_linear = true
  [../]
[] # Outputs

(modules/solid_mechanics/test/tests/capped_mohr_coulomb/random4.i)

# Using CappedMohrCoulomb
# Plasticity models:
# Tensile strength = 0.1MPa
# Compressive strength = 1.0MPa
# Cohesion = 1MPa
# Friction angle = dilation angle = 0.5
#
# Lame lambda = 1GPa.  Lame mu = 1.3GPa
#
# A line of elements is perturbed randomly, and return to the yield surface at each quadpoint is checked

[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 100
  ny = 12
  nz = 1
  xmin = 0
  xmax = 100
  ymin = 0
  ymax = 12
  zmin = 0
  zmax = 1
[]
[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]

[Physics/SolidMechanics/QuasiStatic]
  [./all]
    add_variables = true
    incremental = true
    generate_output = 'stress_xx stress_xy stress_xz stress_yy stress_yz stress_zz'
  [../]
[]

[ICs]
  [./x]
    type = RandomIC
    min = -0.1
    max = 0.1
    variable = disp_x
  [../]
  [./y]
    type = RandomIC
    min = -0.1
    max = 0.1
    variable = disp_y
  [../]
  [./z]
    type = RandomIC
    min = -0.1
    max = 0.1
    variable = disp_z
  [../]
[]

[BCs]
  [./x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'front back'
    function = '0'
  [../]
  [./y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'front back'
    function = '0'
  [../]
  [./z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'front back'
    function = '0'
  [../]
[]

[AuxVariables]
  [./f0]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f1]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f2]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f3]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f4]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f5]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f6]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f7]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f8]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f9]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f10]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f11]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./int0]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./int1]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./iter]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]

[AuxKernels]
  [./f0]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 0
    variable = f0
  [../]
  [./f1]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 1
    variable = f1
  [../]
  [./f2]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 2
    variable = f2
  [../]
  [./f3]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 3
    variable = f3
  [../]
  [./f4]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 4
    variable = f4
  [../]
  [./f5]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 5
    variable = f5
  [../]
  [./f6]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 6
    variable = f6
  [../]
  [./f7]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 7
    variable = f7
  [../]
  [./f8]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 8
    variable = f8
  [../]
  [./f9]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 9
    variable = f9
  [../]
  [./f10]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 10
    variable = f10
  [../]
  [./f11]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 11
    variable = f11
  [../]
  [./int0]
    type = MaterialStdVectorAux
    property = plastic_internal_parameter
    index = 0
    variable = int0
  [../]
  [./int1]
    type = MaterialStdVectorAux
    property = plastic_internal_parameter
    index = 1
    variable = int1
  [../]
  [./iter]
    type = MaterialRealAux
    property = plastic_NR_iterations
    variable = iter
  [../]
[]

[Postprocessors]
  [./tot_iters]
    type = ElementIntegralMaterialProperty
    mat_prop = plastic_NR_iterations
    outputs = console
  [../]
  [./intnl0_max]
    type = ElementExtremeValue
    variable = int0
    outputs = console
  [../]
  [./intnl1_max]
    type = ElementExtremeValue
    variable = int1
    outputs = console
  [../]
  [./raw_f0]
    type = ElementExtremeValue
    variable = f0
    outputs = console
  [../]
  [./raw_f1]
    type = ElementExtremeValue
    variable = f1
    outputs = console
  [../]
  [./raw_f2]
    type = ElementExtremeValue
    variable = f2
    outputs = console
  [../]
  [./raw_f3]
    type = ElementExtremeValue
    variable = f3
    outputs = console
  [../]
  [./raw_f4]
    type = ElementExtremeValue
    variable = f4
    outputs = console
  [../]
  [./raw_f5]
    type = ElementExtremeValue
    variable = f5
    outputs = console
  [../]
  [./raw_f6]
    type = ElementExtremeValue
    variable = f6
    outputs = console
  [../]
  [./raw_f7]
    type = ElementExtremeValue
    variable = f7
    outputs = console
  [../]
  [./raw_f8]
    type = ElementExtremeValue
    variable = f8
    outputs = console
  [../]
  [./raw_f9]
    type = ElementExtremeValue
    variable = f9
    outputs = console
  [../]
  [./raw_f10]
    type = ElementExtremeValue
    variable = f10
    outputs = console
  [../]
  [./raw_f11]
    type = ElementExtremeValue
    variable = f11
    outputs = console
  [../]
  [./iter]
    type = ElementExtremeValue
    variable = iter
    outputs = console
  [../]
  [./f0]
    type = FunctionValuePostprocessor
    function = should_be_zero0_fcn
  [../]
  [./f1]
    type = FunctionValuePostprocessor
    function = should_be_zero1_fcn
  [../]
  [./f2]
    type = FunctionValuePostprocessor
    function = should_be_zero2_fcn
  [../]
  [./f3]
    type = FunctionValuePostprocessor
    function = should_be_zero3_fcn
  [../]
  [./f4]
    type = FunctionValuePostprocessor
    function = should_be_zero4_fcn
  [../]
  [./f5]
    type = FunctionValuePostprocessor
    function = should_be_zero5_fcn
  [../]
  [./f6]
    type = FunctionValuePostprocessor
    function = should_be_zero6_fcn
  [../]
  [./f7]
    type = FunctionValuePostprocessor
    function = should_be_zero7_fcn
  [../]
  [./f8]
    type = FunctionValuePostprocessor
    function = should_be_zero8_fcn
  [../]
  [./f9]
    type = FunctionValuePostprocessor
    function = should_be_zero9_fcn
  [../]
  [./f10]
    type = FunctionValuePostprocessor
    function = should_be_zero10_fcn
  [../]
  [./f11]
    type = FunctionValuePostprocessor
    function = should_be_zero11_fcn
  [../]
[]

[Functions]
  [./should_be_zero0_fcn]
    type = ParsedFunction
    expression = 'if(a<1E-1,0,a)'
    symbol_names = 'a'
    symbol_values = 'raw_f0'
  [../]
  [./should_be_zero1_fcn]
    type = ParsedFunction
    expression = 'if(a<1E-1,0,a)'
    symbol_names = 'a'
    symbol_values = 'raw_f1'
  [../]
  [./should_be_zero2_fcn]
    type = ParsedFunction
    expression = 'if(a<1E-1,0,a)'
    symbol_names = 'a'
    symbol_values = 'raw_f2'
  [../]
  [./should_be_zero3_fcn]
    type = ParsedFunction
    expression = 'if(a<1E-1,0,a)'
    symbol_names = 'a'
    symbol_values = 'raw_f3'
  [../]
  [./should_be_zero4_fcn]
    type = ParsedFunction
    expression = 'if(a<1E-1,0,a)'
    symbol_names = 'a'
    symbol_values = 'raw_f4'
  [../]
  [./should_be_zero5_fcn]
    type = ParsedFunction
    expression = 'if(a<1E-1,0,a)'
    symbol_names = 'a'
    symbol_values = 'raw_f5'
  [../]
  [./should_be_zero6_fcn]
    type = ParsedFunction
    expression = 'if(a<1E-1,0,a)'
    symbol_names = 'a'
    symbol_values = 'raw_f6'
  [../]
  [./should_be_zero7_fcn]
    type = ParsedFunction
    expression = 'if(a<1E-1,0,a)'
    symbol_names = 'a'
    symbol_values = 'raw_f7'
  [../]
  [./should_be_zero8_fcn]
    type = ParsedFunction
    expression = 'if(a<1E-1,0,a)'
    symbol_names = 'a'
    symbol_values = 'raw_f8'
  [../]
  [./should_be_zero9_fcn]
    type = ParsedFunction
    expression = 'if(a<1E-1,0,a)'
    symbol_names = 'a'
    symbol_values = 'raw_f9'
  [../]
  [./should_be_zero10_fcn]
    type = ParsedFunction
    expression = 'if(a<1E-1,0,a)'
    symbol_names = 'a'
    symbol_values = 'raw_f10'
  [../]
  [./should_be_zero11_fcn]
    type = ParsedFunction
    expression = 'if(a<1E-1,0,a)'
    symbol_names = 'a'
    symbol_values = 'raw_f11'
  [../]
[]

[UserObjects]
  [./ts]
    type = SolidMechanicsHardeningCubic
    value_0 = 1E6
    value_residual = 2E6
    internal_limit = 1
  [../]
  [./cs]
    type = SolidMechanicsHardeningCubic
    value_0 = 1E7
    value_residual = 0.5E7
    internal_limit = 1
  [../]
  [./coh]
    type = SolidMechanicsHardeningCubic
    value_0 = 2E6
    value_residual = 1E6
    internal_limit = 1
  [../]
  [./phi]
    type = SolidMechanicsHardeningCubic
    value_0 = 0.6
    value_residual = 0.2
    internal_limit = 1
  [../]
  [./psi]
    type = SolidMechanicsHardeningCubic
    value_0 = 0.5
    value_residual = 0.1
    internal_limit = 1
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    fill_method = symmetric_isotropic
    C_ijkl = '1E9 1.3E9'
  [../]
  [./tensile]
    type = CappedMohrCoulombStressUpdate
    tensile_strength = ts
    compressive_strength = cs
    cohesion = coh
    friction_angle = phi
    dilation_angle = psi
    smoothing_tol = 1E5
    max_NR_iterations = 1000
    yield_function_tol = 1.0E-1
  [../]
  [./stress]
    type = ComputeMultipleInelasticStress
    inelastic_models = tensile
    perform_finite_strain_rotations = false
  [../]
[]


[Executioner]
  end_time = 1
  dt = 1
  dtmin = 1
  type = Transient
[]


[Outputs]
  file_base = random4
  csv = true
[]

(modules/solid_mechanics/test/tests/tensile/small_deform8_update_version.i)

# A single unit element is stretched by 1E-6m in z direction.
# with Lame lambda = 0.6E6 and Lame mu (shear) = 1E6
# stress_zz = 2.6 Pa
# stress_xx = 0.6 Pa
# stress_yy = 0.6 Pa
# tensile_strength is set to 0.5Pa
#
# stress_zz = 0.5
# plastic multiplier = 2.1/2.6 E-6
# stress_xx = 0.6 - (2.1/2.6*0.6) = 0.115
[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]

[Physics/SolidMechanics/QuasiStatic]
  [./all]
    add_variables = true
    incremental = true
    strain = finite
    generate_output = 'max_principal_stress mid_principal_stress min_principal_stress stress_xx stress_xy stress_xz stress_yy stress_yz stress_zz'
  [../]
[]

[BCs]
  [./x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'front back'
    function = '0E-6*x'
  [../]
  [./y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'front back'
    function = '0E-6*y'
  [../]
  [./z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'front back'
    function = '1.0E-6*z'
  [../]
[]

[AuxVariables]
  [./f0]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f1]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f2]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./iter]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./intnl]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]

[AuxKernels]
  [./f0_auxk]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 0
    variable = f0
  [../]
  [./f1_auxk]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 1
    variable = f1
  [../]
  [./f2_auxk]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 2
    variable = f2
  [../]
  [./iter]
    type = MaterialRealAux
    property = plastic_NR_iterations
    variable = iter
  [../]
  [./intnl_auxk]
    type = MaterialStdVectorAux
    property = plastic_internal_parameter
    index = 0
    variable = intnl
  [../]
[]

[Postprocessors]
  [./s_I]
    type = PointValue
    point = '0 0 0'
    variable = max_principal_stress
  [../]
  [./s_II]
    type = PointValue
    point = '0 0 0'
    variable = mid_principal_stress
  [../]
  [./s_III]
    type = PointValue
    point = '0 0 0'
    variable = min_principal_stress
  [../]
  [./s_xx]
    type = PointValue
    point = '0 0 0'
    variable = stress_xx
  [../]
  [./s_xy]
    type = PointValue
    point = '0 0 0'
    variable = stress_xy
  [../]
  [./s_xz]
    type = PointValue
    point = '0 0 0'
    variable = stress_xz
  [../]
  [./s_yy]
    type = PointValue
    point = '0 0 0'
    variable = stress_yy
  [../]
  [./s_yz]
    type = PointValue
    point = '0 0 0'
    variable = stress_yz
  [../]
  [./s_zz]
    type = PointValue
    point = '0 0 0'
    variable = stress_zz
  [../]
  [./f0]
    type = PointValue
    point = '0 0 0'
    variable = f0
  [../]
  [./f1]
    type = PointValue
    point = '0 0 0'
    variable = f1
  [../]
  [./f2]
    type = PointValue
    point = '0 0 0'
    variable = f2
  [../]
  [./iter]
    type = PointValue
    point = '0 0 0'
    variable = iter
  [../]
  [./intnl]
    type = PointValue
    point = '0 0 0'
    variable = intnl
  [../]
[]

[UserObjects]
  [./ts]
    type = SolidMechanicsHardeningConstant
    value = 0.5
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    fill_method = symmetric_isotropic
    C_ijkl = '0.6E6 1E6'
  [../]
  [./tensile]
    type = TensileStressUpdate
    tensile_strength = ts
    smoothing_tol = 0.0
    yield_function_tol = 1.0E-12
  [../]
  [./stress]
    type = ComputeMultipleInelasticStress
    inelastic_models = tensile
    perform_finite_strain_rotations = false
  [../]
[]


[Executioner]
  end_time = 1
  dt = 1
  type = Transient
[]


[Outputs]
  file_base = small_deform8_update_version
  exodus = false
  [./csv]
    type = CSV
  [../]
[]

(test/tests/geomsearch/2d_moving_penetration/pl_test3ns.i)

[GlobalParams]
  order = FIRST
  family = LAGRANGE
[]

[Mesh]
  file = pl_test3.e
  displacements = 'disp_x disp_y'
[]

[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
[]

[AuxVariables]
  [./distance]
  [../]
  [./tangential_distance]
  [../]
  [./normal_x]
  [../]
  [./normal_y]
  [../]
  [./closest_point_x]
  [../]
  [./closest_point_y]
  [../]
  [./element_id]
  [../]
  [./side]
  [../]
[]

[Kernels]
  [./diff_x]
    type = Diffusion
    variable = disp_x
  [../]
  [./diff_y]
    type = Diffusion
    variable = disp_y
  [../]
[]

[AuxKernels]
  [./penetrate]
    type = PenetrationAux
    variable = distance
    boundary = 11            #secondary
    paired_boundary = 12     #primary
    normal_smoothing_distance = 0.2
  [../]

  [./penetrate2]
    type = PenetrationAux
    variable = distance
    boundary = 12            #secondary
    paired_boundary = 11     #primary
    normal_smoothing_distance = 0.2
  [../]

  [./penetrate3]
    type = PenetrationAux
    variable = tangential_distance
    boundary = 11
    paired_boundary = 12
    quantity = tangential_distance
  [../]

  [./penetrate4]
    type = PenetrationAux
    variable = tangential_distance
    boundary = 12
    paired_boundary = 11
    quantity = tangential_distance
  [../]

  [./penetrate5]
    type = PenetrationAux
    variable = normal_x
    boundary = 11
    paired_boundary = 12
    quantity = normal_x
  [../]

  [./penetrate6]
    type = PenetrationAux
    variable = normal_x
    boundary = 12
    paired_boundary = 11
    quantity = normal_x
  [../]

  [./penetrate7]
    type = PenetrationAux
    variable = normal_y
    boundary = 11
    paired_boundary = 12
    quantity = normal_y
  [../]

  [./penetrate8]
    type = PenetrationAux
    variable = normal_y
    boundary = 12
    paired_boundary = 11
    quantity = normal_y
  [../]

  [./penetrate9]
    type = PenetrationAux
    variable = closest_point_x
    boundary = 11
    paired_boundary = 12
    quantity = closest_point_x
  [../]

  [./penetrate10]
    type = PenetrationAux
    variable = closest_point_x
    boundary = 12
    paired_boundary = 11
    quantity = closest_point_x
  [../]

  [./penetrate11]
    type = PenetrationAux
    variable = closest_point_y
    boundary = 11
    paired_boundary = 12
    quantity = closest_point_y
  [../]

  [./penetrate12]
    type = PenetrationAux
    variable = closest_point_y
    boundary = 12
    paired_boundary = 11
    quantity = closest_point_y
  [../]

  [./penetrate13]
    type = PenetrationAux
    variable = element_id
    boundary = 11
    paired_boundary = 12
    quantity = element_id
  [../]

  [./penetrate14]
    type = PenetrationAux
    variable = element_id
    boundary = 12
    paired_boundary = 11
    quantity = element_id
  [../]

  [./penetrate15]
    type = PenetrationAux
    variable = side
    boundary = 11
    paired_boundary = 12
    quantity = side
  [../]

  [./penetrate16]
    type = PenetrationAux
    variable = side
    boundary = 12
    paired_boundary = 11
    quantity = side
  [../]
[]

[BCs]
  [./b1x]
    type = DirichletBC
    variable = disp_x
    boundary = 1
    value = 0
  [../]

  [./b1y]
    type = DirichletBC
    variable = disp_y
    boundary = 1
    value = 0
  [../]

  [./b2x]
    type = DirichletBC
    variable = disp_x
    boundary = 2
    value = 0
  [../]

  [./b2y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 2
    function = disp_y
  [../]
[]

[Functions]
  [./disp_y]
    type = PiecewiseLinear
    x = '0.0 0.25 0.75 1.0'
    y = '0.0 2.0 -2.0  0.0'
  [../]
[]

[Executioner]
  type = Transient

  solve_type = 'PJFNK'
  petsc_options = '-snes_ksp_ew'

  nl_rel_tol = 1e-10
  l_max_its = 10

  start_time = 0.0
  dt = 0.0125
  end_time = 1.0
[]

[Outputs]
  file_base = pl_test3ns_out
  exodus = true
[]

(modules/porous_flow/examples/groundwater/ex01.i)

# Groundwater extraction example.
# System consists of two confined aquifers separated by an aquitard
# There is a hydraulic gradient in the upper aquifer
# A well extracts water from the lower aquifer, and the impact on the upper aquifer is observed
# In the center of the model, the roof of the upper aquifer sits 70m below the local water table

[Mesh]
  [basic_mesh]
    type = GeneratedMeshGenerator
    dim = 3
    xmin = -50
    xmax = 50
    nx = 20
    ymin = -25
    ymax = 25
    ny = 10
    zmin = -100
    zmax = -70
    nz = 3
  []
  [lower_aquifer]
    type = SubdomainBoundingBoxGenerator
    input = basic_mesh
    block_id = 1
    block_name = lower_aquifer
    bottom_left = '-1000 -500 -100'
    top_right = '1000 500 -90'
  []
  [aquitard]
    type = SubdomainBoundingBoxGenerator
    input = lower_aquifer
    block_id = 2
    block_name = aquitard
    bottom_left = '-1000 -500 -90'
    top_right = '1000 500 -80'
  []
  [upper_aquifer]
    type = SubdomainBoundingBoxGenerator
    input = aquitard
    block_id = 3
    block_name = upper_aquifer
    bottom_left = '-1000 -500 -80'
    top_right = '1000 500 -70'
  []
[]

[GlobalParams]
  PorousFlowDictator = dictator
[]

[Variables]
  [pp]
  []
[]

[ICs]
  [pp]
    type = FunctionIC
    variable = pp
    function = insitu_pp
  []
[]

[BCs]
  [pp]
    type = FunctionDirichletBC
    variable = pp
    function = insitu_pp
    boundary = 'left right top bottom front back'
  []
[]

[Functions]
  [upper_aquifer_head]
    type = ParsedFunction
    expression = '10 + x / 200'
  []
  [lower_aquifer_head]
    type = ParsedFunction
    expression = '20'
  []
  [insitu_head]
    type = ParsedFunction
    symbol_values = 'lower_aquifer_head upper_aquifer_head'
    symbol_names = 'low up'
    expression = 'if(z <= -90, low, if(z >= -80, up, (up * (z + 90) - low * (z + 80)) / (10.0)))'
  []
  [insitu_pp]
    type = ParsedFunction
    symbol_values = 'insitu_head'
    symbol_names = 'h'
    expression = '(h - z) * 1E4'
  []
  [l_rate]
    type = ParsedFunction
    symbol_values = 'm3_produced dt'
    symbol_names = 'm3_produced dt'
    expression = '1000 * m3_produced / dt'
  []
[]

[AuxVariables]
  [insitu_head]
  []
  [head_change]
  []
[]

[AuxKernels]
  [insitu_head]
    type = FunctionAux
    variable = insitu_head
    function = insitu_head
  []
  [head_change]
    type = ParsedAux
    coupled_variables = 'pp insitu_head'
    use_xyzt = true
    expression = 'pp / 1E4 + z - insitu_head'
    variable = head_change
  []
[]

[Postprocessors]
  [m3_produced]
    type = PorousFlowPlotQuantity
    uo = volume_extracted
    outputs = 'none'
  []
  [dt]
    type = TimestepSize
    outputs = 'none'
  []
  [l_per_s]
    type = FunctionValuePostprocessor
    function = l_rate
  []
[]

[VectorPostprocessors]
  [drawdown]
    type = LineValueSampler
    variable = head_change
    start_point = '-50 0 -75'
    end_point = '50 0 -75'
    num_points = 101
    sort_by = x
  []
[]

[PorousFlowBasicTHM]
  fp = simple_fluid
  gravity = '0 0 -10'
  porepressure = pp
  multiply_by_density = false
[]

[FluidProperties]
  [simple_fluid]
    type = SimpleFluidProperties
    # the following mean that density = 1000 * exp(P / 1E15) ~ 1000
    thermal_expansion = 0
    bulk_modulus = 1E15
  []
[]

[Materials]
  [porosity_aquifers]
    type = PorousFlowPorosityConst
    porosity = 0.05
    block = 'upper_aquifer lower_aquifer'
  []
  [porosity_aquitard]
    type = PorousFlowPorosityConst
    porosity = 0.2
    block = aquitard
  []
  [biot_mod]
    type = PorousFlowConstantBiotModulus
    fluid_bulk_modulus = 2E9
    biot_coefficient = 1.0
  []
  [permeability_aquifers]
    type = PorousFlowPermeabilityConst
    permeability = '1E-12 0 0 0 1E-12 0 0 0 1E-12'
    block = 'upper_aquifer lower_aquifer'
  []
  [permeability_aquitard]
    type = PorousFlowPermeabilityConst
    permeability = '1E-16 0 0 0 1E-16 0 0 0 1E-17'
    block = aquitard
  []
[]

[DiracKernels]
  [sink]
    type = PorousFlowPolyLineSink
    SumQuantityUO = volume_extracted
    point_file = ex01.bh_lower
    line_length = 10
    variable = pp
    # following produces a flux of 0 m^3(water)/m(borehole length)/s if porepressure = 0, and a flux of 1 m^3/m/s if porepressure = 1E9
    p_or_t_vals = '0 1E9'
    fluxes = '0 1'
  []
[]

[UserObjects]
  [volume_extracted]
    type = PorousFlowSumQuantity
  []
[]

[Preconditioning]
  [smp]
    type = SMP
    full = true
  []
[]

[Executioner]
  type = Transient
  solve_type = Newton
  [TimeStepper]
    type = SolutionTimeAdaptiveDT
    dt = 1.1E5
  []
  end_time = 3.456E5 # 4 days
  nl_abs_tol = 1E-13
[]

[Outputs]
  [csv]
    type = CSV
    file_base = ex01_lower_extraction
    execute_on = final
  []
[]

(modules/solid_mechanics/test/tests/lagrangian/cartesian/total/convergence-auto/3D/dirichlet.i)

# Simple 3D test

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
  large_kinematics = true
  stabilize_strain = true
[]

[Variables]
  [disp_x]
  []
  [disp_y]
  []
  [disp_z]
  []
[]

[ICs]
  [disp_x]
    type = RandomIC
    variable = disp_x
    min = -0.02
    max = 0.02
  []
  [disp_y]
    type = RandomIC
    variable = disp_y
    min = -0.02
    max = 0.02
  []
  [disp_z]
    type = RandomIC
    variable = disp_z
    min = -0.02
    max = 0.02
  []
[]

[Mesh]
  [msh]
    type = GeneratedMeshGenerator
    dim = 3
    nx = 4
    ny = 4
    nz = 4
  []
[]

[Kernels]
  [sdx]
    type = TotalLagrangianStressDivergence
    variable = disp_x
    component = 0
  []
  [sdy]
    type = TotalLagrangianStressDivergence
    variable = disp_y
    component = 1
  []
  [sdz]
    type = TotalLagrangianStressDivergence
    variable = disp_z
    component = 2
  []
[]

[Functions]
  [pullx]
    type = ParsedFunction
    expression = '0.4 * t'
  []
  [pully]
    type = ParsedFunction
    expression = '-0.2 * t'
  []
  [pullz]
    type = ParsedFunction
    expression = '0.3 * t'
  []
[]

[BCs]
  [leftx]
    type = DirichletBC
    preset = true
    boundary = left
    variable = disp_x
    value = 0.0
  []
  [lefty]
    type = DirichletBC
    preset = true
    boundary = left
    variable = disp_y
    value = 0.0
  []
  [leftz]
    type = DirichletBC
    preset = true
    boundary = left
    variable = disp_z
    value = 0.0
  []
  [pull_x]
    type = FunctionDirichletBC
    boundary = right
    variable = disp_x
    function = pullx
    preset = true
  []
  [pull_y]
    type = FunctionDirichletBC
    boundary = top
    variable = disp_y
    function = pully
    preset = true
  []
  [pull_z]
    type = FunctionDirichletBC
    boundary = right
    variable = disp_z
    function = pullz
    preset = true
  []
[]

[Materials]
  [elastic_tensor]
    type = ComputeIsotropicElasticityTensor
    youngs_modulus = 100000.0
    poissons_ratio = 0.3
  []
  [compute_stress]
    type = ComputeLagrangianLinearElasticStress
  []
  [compute_strain]
    type = ComputeLagrangianStrain
  []
[]

[Preconditioning]
  [smp]
    type = SMP
    full = true
  []
[]

[Executioner]
  type = Transient

  solve_type = 'newton'
  line_search = none

  petsc_options_iname = '-pc_type'
  petsc_options_value = 'lu'

  l_max_its = 2
  l_tol = 1e-14
  nl_max_its = 15
  nl_rel_tol = 1e-8
  nl_abs_tol = 1e-10

  start_time = 0.0
  dt = 0.2
  dtmin = 0.2
  end_time = 0.2
[]

(test/tests/executioners/executioner/transient.i)

###########################################################
# This is a simple test with a time-dependent problem
# demonstrating the use of a "Transient" Executioner.
#
# @Requirement F1.10
###########################################################


[Mesh]
  type = GeneratedMesh
  dim = 2
  xmin = -1
  xmax = 1
  ymin = -1
  ymax = 1
  nx = 10
  ny = 10
  elem_type = QUAD4
[]

[Variables]
  active = 'u'

  [./u]
    order = FIRST
    family = LAGRANGE

    [./InitialCondition]
      type = ConstantIC
      value = 0
    [../]
  [../]
[]

[Functions]
  [./forcing_fn]
    type = ParsedFunction
    # dudt = 3*t^2*(x^2 + y^2)
    expression = 3*t*t*((x*x)+(y*y))-(4*t*t*t)
  [../]

  [./exact_fn]
    type = ParsedFunction
    expression = t*t*t*((x*x)+(y*y))
  [../]
[]

[Kernels]
  active = 'diff ie ffn'

  [./ie]
    type = TimeDerivative
    variable = u
  [../]

  [./diff]
    type = Diffusion
    variable = u
  [../]

  [./ffn]
    type = BodyForce
    variable = u
    function = forcing_fn
  [../]
[]

[BCs]
  active = 'all'

  [./all]
    type = FunctionDirichletBC
    variable = u
    boundary = '0 1 2 3'
    function = exact_fn
  [../]

  [./left]
    type = DirichletBC
    variable = u
    boundary = 3
    value = 0
  [../]

  [./right]
    type = DirichletBC
    variable = u
    boundary = 1
    value = 1
  [../]
[]

[Postprocessors]
  [./l2_err]
    type = ElementL2Error
    variable = u
    function = exact_fn
  [../]

  [./dt]
    type = TimestepSize
  [../]
[]

[Executioner]
  type = Transient
  scheme = 'implicit-euler'
  solve_type = 'PJFNK'
  start_time = 0.0
  num_steps = 5
  dt = 0.1
[]

[Outputs]
  execute_on = 'timestep_end'
  file_base = out_transient
  exodus = true
[]

(test/tests/restart/restart_subapp_not_parent/two_step_solve_sub_restart.i)

[Mesh]
  file = two_step_solve_parent_full_solve0_checkpoint_cp/0002-mesh.cpa.gz
[]

[Problem]
  restart_file_base = two_step_solve_parent_full_solve0_checkpoint_cp/LATEST
  force_restart = true
[]

[Functions]
  [./exact_fn]
    type = ParsedFunction
    expression = t*t*(x*x+y*y)
  [../]

  [./forcing_fn]
    type = ParsedFunction
    expression = 2*t*(x*x+y*y)-4*t*t
  [../]
[]

[Variables]
  [./u]
    family = LAGRANGE
    order = SECOND
  [../]
[]

# Initial Condition will come from the restart file

[Kernels]
  [./td]
    type = TimeDerivative
    variable = u
  [../]

  [./diff]
    type = Diffusion
    variable = u
  [../]

  [./ffn]
    type = BodyForce
    variable = u
    function = forcing_fn
  [../]
[]

[BCs]
  [./all]
    type = FunctionDirichletBC
    variable = u
    boundary = 'left right top bottom'
    function = exact_fn
  [../]
[]

[Postprocessors]
  [./average]
    type = ElementAverageValue
    variable = u
  [../]
[]

[Executioner]
  type = Transient
  end_time = 2.0
  dt = 1.0
[]

[Outputs]
  exodus = true
[]

(modules/contact/test/tests/pdass_problems/ironing_penalty_action.i)

[GlobalParams]
  volumetric_locking_correction = true
  displacements = 'disp_x disp_y'
[]

[Mesh]
  [input_file]
    type = FileMeshGenerator
    file = iron.e
  []

  patch_update_strategy = auto
  patch_size = 20
  allow_renumbering = false
[]

[Variables]
  [disp_x]
  []
  [disp_y]
  []
[]

[AuxVariables]
  [penalty_normal_pressure]
    order = FIRST
    family = LAGRANGE
  []
  [penalty_frictional_pressure]
    order = FIRST
    family = LAGRANGE
  []
  [accumulated_slip_one]
    order = FIRST
    family = LAGRANGE
  []
  [tangential_vel_one]
    order = FIRST
    family = LAGRANGE
  []
  [real_weighted_gap]
    order = FIRST
    family = LAGRANGE
  []
  [stress_xx]
    order = CONSTANT
    family = MONOMIAL
  []
  [stress_yy]
    order = CONSTANT
    family = MONOMIAL
  []
  [stress_xy]
    order = CONSTANT
    family = MONOMIAL
  []
  [saved_x]
  []
  [saved_y]
  []
  [diag_saved_x]
  []
  [diag_saved_y]
  []
  [von_mises]
    order = CONSTANT
    family = MONOMIAL
  []
[]

[Functions]
  [disp_ramp_vert]
    type = PiecewiseLinear
    x = '0. 2. 8.'
    y = '0. -1.0 -1.0'
  []
  [disp_ramp_horz]
    type = PiecewiseLinear
    x = '0. 8.'
    y = '0. 8.'
  []
[]

[Kernels]
  [TensorMechanics]
    use_displaced_mesh = true
    save_in = 'saved_x saved_y'
    block = '1 2'
    strain = FINITE
  []
[]

[AuxKernels]
  [penalty_normal_pressure_auxk]
    type = PenaltyMortarUserObjectAux
    variable = penalty_normal_pressure
    user_object = penalty_friction_object_contact_block
    contact_quantity = normal_pressure
  []
  [penalty_frictional_pressure_auxk]
    type = PenaltyMortarUserObjectAux
    variable = penalty_frictional_pressure
    user_object = penalty_friction_object_contact_block
    contact_quantity = tangential_pressure_one
  []
  [penalty_accumulated_slip_auxk]
    type = PenaltyMortarUserObjectAux
    variable = accumulated_slip_one
    user_object = penalty_friction_object_contact_block
    contact_quantity = accumulated_slip_one
  []
  [penalty_tangential_vel_auxk]
    type = PenaltyMortarUserObjectAux
    variable = tangential_vel_one
    user_object = penalty_friction_object_contact_block
    contact_quantity = tangential_velocity_one
  []
  [real_weighted_gap_auxk]
    type = PenaltyMortarUserObjectAux
    variable = real_weighted_gap
    user_object = penalty_friction_object_contact_block
    contact_quantity = normal_gap
  []
  [stress_xx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xx
    index_i = 0
    index_j = 0
    execute_on = timestep_end
    block = '1 2'
  []
  [stress_yy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yy
    index_i = 1
    index_j = 1
    execute_on = timestep_end
    block = '1 2'
  []
  [stress_xy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xy
    index_i = 0
    index_j = 1
    execute_on = timestep_end
    block = '1 2'
  []
  [von_mises_kernel]
    #Calculates the von mises stress and assigns it to von_mises
    type = RankTwoScalarAux
    variable = von_mises
    rank_two_tensor = stress
    execute_on = timestep_end
    scalar_type = VonMisesStress
    block = '1 2'
  []
[]

[Contact]
  [contact_block]
    primary = 20
    secondary = 10
    friction_coefficient = 0.1
    model = coulomb
    formulation = mortar_penalty
    penalty = 1e5
    penalty_friction = 1e4
    use_dual = false
  []
[]

[VectorPostprocessors]
  [penalty_normal_pressure]
    type = NodalValueSampler
    variable = penalty_normal_pressure
    boundary = 10
    sort_by = id
  []
[]

[Postprocessors]
  [top_react_x]
    type = NodalSum
    variable = saved_x
    boundary = 30
  []
  [top_react_y]
    type = NodalSum
    variable = saved_y
    boundary = 30
  []
[]

[BCs]
  [bot_x_disp]
    type = DirichletBC
    variable = disp_x
    boundary = '40'
    value = 0.0
    preset = false
  []
  [bot_y_disp]
    type = DirichletBC
    variable = disp_y
    boundary = '40'
    value = 0.0
    preset = false
  []
  [top_y_disp]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = '30'
    function = disp_ramp_vert
    preset = false
  []
  [top_x_disp]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = '30'
    function = disp_ramp_horz
    preset = false
  []
[]

[Materials]
  [stuff1_elas_tens]
    type = ComputeIsotropicElasticityTensor
    block = '2'
    youngs_modulus = 6896
    poissons_ratio = 0.32
  []
  [stuff1_strain]
    type = ComputeFiniteStrain
    block = '2'
  []
  [stuff1_stress]
    type = ComputeFiniteStrainElasticStress
    block = '2'
  []
  [stuff2_elas_tens]
    type = ComputeIsotropicElasticityTensor
    block = '1'
    youngs_modulus = 689.6
    poissons_ratio = 0.32
  []
  [stuff2_strain]
    type = ComputeFiniteStrain
    block = '1'
  []
  [stuff2_stress]
    type = ComputeFiniteStrainElasticStress
    block = '1'
  []
[]

[Executioner]
  type = Transient
  solve_type = 'PJFNK'

  petsc_options = '-snes_ksp_ew'
  petsc_options_iname = '-pc_type -pc_factor_mat_solver_type'
  petsc_options_value = 'lu     superlu_dist'
  line_search = 'none'

  nl_abs_tol = 1e-7
  nl_rel_tol = 1e-7
  l_tol = 1e-6

  l_max_its = 50
  nl_max_its = 30

  start_time = 0.0
  end_time = 6.5 # 6.5

  dt = 0.0125
  dtmin = 1e-5
  [Predictor]
    type = SimplePredictor
    scale = 1.0
  []
[]

[Preconditioning]
  [SMP]
    type = SMP
    full = true
  []
[]

[Outputs]
  print_linear_residuals = true
  perf_graph = true
  exodus = true
  csv = true
  hide = 'nodal_area penetration contact_pressure'

  [chkfile]
    type = CSV
    start_time = 0.0
    execute_vector_postprocessors_on = FINAL
  []
  [console]
    type = Console
    max_rows = 5
  []
[]

[Debug]
  show_var_residual_norms = true
[]

(modules/solid_mechanics/test/tests/umat/analysis_steps/elastic_temperature_steps_uo_intervals.i)

# Testing the UMAT Interface - linear elastic model using the large strain formulation.

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]

[Mesh]
  [gen]
    type = GeneratedMeshGenerator
    dim = 3
    xmin = -0.5
    xmax = 0.5
    ymin = -0.5
    ymax = 0.5
    zmin = -0.5
    zmax = 0.5
  []
[]

[Functions]
  [top_pull_step2]
    type = ParsedFunction
    expression = (t-5.0)/20
  []
  # Forced evolution of temperature
  [temperature_load]
    type = ParsedFunction
    expression = '273'
  []
[]

[AuxVariables]
  [temperature]
  []
[]

[AuxKernels]
  [temperature_function]
    type = FunctionAux
    variable = temperature
    function = temperature_load
  []
[]

[Physics/SolidMechanics/QuasiStatic]
  [all]
    add_variables = true
    strain = FINITE
    generate_output = 'stress_yy'
  []
[]

[BCs]
  [y_step1]
    type = DirichletBC
    variable = disp_y
    boundary = top
    value = 0.0
  []
  [y_pull_function_step2]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = top
    function = top_pull_step2
  []
  [x_bot]
    type = DirichletBC
    variable = disp_x
    boundary = left
    value = 0.0
  []
  [y_bot]
    type = DirichletBC
    variable = disp_y
    boundary = bottom
    value = 0.0
  []
  [z_bot]
    type = DirichletBC
    variable = disp_z
    boundary = front
    value = 0.0
  []
[]

[Controls]
  [step1]
    type = AnalysisStepPeriod
    enable_objects = 'BCs::y_step1'
    disable_objects = 'BCs::y_pull_function_step2'
    analysis_step_user_object = step_uo
    step_number = 0
  []
  [step2]
    type = AnalysisStepPeriod
    enable_objects = 'BCs::y_pull_function_step2'
    disable_objects = 'BCs::y_step1'
    analysis_step_user_object = step_uo
    step_number = 1
  []
[]

[UserObjects]
  [step_uo]
   type = AnalysisStepUserObject
   number_steps = 2
   total_time_interval = 10
  []
[]

[Materials]
  [umat]
    type = AbaqusUMATStress
    constant_properties = '1000 0.3'
    plugin = '../../../plugins/elastic_temperature'
    num_state_vars = 0
    temperature = temperature
    use_one_based_indexing = true
  []
[]

[Executioner]
  type = Transient
  solve_type = 'PJFNK'

  petsc_options = '-snes_ksp_ew'
  petsc_options_iname = '-ksp_gmres_restart'
  petsc_options_value = '101'

  line_search = 'none'

  l_max_its = 100
  nl_max_its = 100
  nl_rel_tol = 1e-12
  nl_abs_tol = 1e-10
  l_tol = 1e-9
  start_time = 0.0
  num_steps = 10
  dt = 1.0
[]

[Preconditioning]
  [smp]
    type = SMP
    full = true
  []
[]

[Outputs]
  exodus = true
[]

(test/tests/geomsearch/2d_moving_penetration/pl_test3qns.i)

[GlobalParams]
  order = SECOND
  family = LAGRANGE
[]

[Mesh]
  file = pl_test3q.e
  displacements = 'disp_x disp_y'
[]

[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
[]

[AuxVariables]
  [./distance]
  [../]
  [./tangential_distance]
  [../]
  [./normal_x]
  [../]
  [./normal_y]
  [../]
  [./closest_point_x]
  [../]
  [./closest_point_y]
  [../]
  [./element_id]
  [../]
  [./side]
  [../]
[]

[Kernels]
  [./diff_x]
    type = Diffusion
    variable = disp_x
  [../]
  [./diff_y]
    type = Diffusion
    variable = disp_y
  [../]
[]

[AuxKernels]
  [./penetrate]
    type = PenetrationAux
    variable = distance
    boundary = 11            #secondary
    paired_boundary = 12     #primary
    normal_smoothing_distance = 0.2
  [../]

  [./penetrate2]
    type = PenetrationAux
    variable = distance
    boundary = 12            #secondary
    paired_boundary = 11     #primary
    normal_smoothing_distance = 0.2
  [../]

  [./penetrate3]
    type = PenetrationAux
    variable = tangential_distance
    boundary = 11
    paired_boundary = 12
    quantity = tangential_distance
  [../]

  [./penetrate4]
    type = PenetrationAux
    variable = tangential_distance
    boundary = 12
    paired_boundary = 11
    quantity = tangential_distance
  [../]

  [./penetrate5]
    type = PenetrationAux
    variable = normal_x
    boundary = 11
    paired_boundary = 12
    quantity = normal_x
  [../]

  [./penetrate6]
    type = PenetrationAux
    variable = normal_x
    boundary = 12
    paired_boundary = 11
    quantity = normal_x
  [../]

  [./penetrate7]
    type = PenetrationAux
    variable = normal_y
    boundary = 11
    paired_boundary = 12
    quantity = normal_y
  [../]

  [./penetrate8]
    type = PenetrationAux
    variable = normal_y
    boundary = 12
    paired_boundary = 11
    quantity = normal_y
  [../]

  [./penetrate9]
    type = PenetrationAux
    variable = closest_point_x
    boundary = 11
    paired_boundary = 12
    quantity = closest_point_x
  [../]

  [./penetrate10]
    type = PenetrationAux
    variable = closest_point_x
    boundary = 12
    paired_boundary = 11
    quantity = closest_point_x
  [../]

  [./penetrate11]
    type = PenetrationAux
    variable = closest_point_y
    boundary = 11
    paired_boundary = 12
    quantity = closest_point_y
  [../]

  [./penetrate12]
    type = PenetrationAux
    variable = closest_point_y
    boundary = 12
    paired_boundary = 11
    quantity = closest_point_y
  [../]

  [./penetrate13]
    type = PenetrationAux
    variable = element_id
    boundary = 11
    paired_boundary = 12
    quantity = element_id
  [../]

  [./penetrate14]
    type = PenetrationAux
    variable = element_id
    boundary = 12
    paired_boundary = 11
    quantity = element_id
  [../]

  [./penetrate15]
    type = PenetrationAux
    variable = side
    boundary = 11
    paired_boundary = 12
    quantity = side
  [../]

  [./penetrate16]
    type = PenetrationAux
    variable = side
    boundary = 12
    paired_boundary = 11
    quantity = side
  [../]
[]

[BCs]
  [./b1x]
    type = DirichletBC
    variable = disp_x
    boundary = 1
    value = 0
  [../]

  [./b1y]
    type = DirichletBC
    variable = disp_y
    boundary = 1
    value = 0
  [../]

  [./b2x]
    type = DirichletBC
    variable = disp_x
    boundary = 2
    value = 0
  [../]

  [./b2y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 2
    function = disp_y
  [../]
[]

[Functions]
  [./disp_y]
    type = PiecewiseLinear
    x = '0.0 0.25 0.75 1.0'
    y = '0.0 2.0 -2.0  0.0'
  [../]
[]

[Executioner]
  type = Transient

  solve_type = 'PJFNK'
  petsc_options = '-snes_ksp_ew'

  nl_rel_tol = 1e-10
  l_max_its = 10

  start_time = 0.0
  dt = 0.02
  end_time = 1.0
  [./Quadrature]
    order = THIRD
  [../]
[]

[Outputs]
  file_base = pl_test3qns_out
  exodus = true
[]

(modules/solid_mechanics/test/tests/multi/two_surface04.i)

# Plasticit models:
# SimpleTester with a = 0 and b = 1 and strength = 1
# SimpleTester with a = 1 and b = 1 and strength = 2
#
# Lame lambda = 0 (Poisson=0).  Lame mu = 0.5E6
#
# A single element is stretched by 4.0E-6m in y directions and 2.0E-6 in z direction.
# trial stress_zz = 2 and stress_yy = 4
#
# Then both  SimpleTesters should activate initially and return to the "corner" point
# (stress_zz = 1 = stress_yy), but then the plastic multiplier for SimpleTester1 will
# be negative, and so it will be deactivated, and the algorithm will return to
# stress_zz = 0, stress_yy = 2
# internal1 should be zero, internal2 should be 2

[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]


[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
[]

[Kernels]
  [SolidMechanics]
    displacements = 'disp_x disp_y disp_z'
  [../]
[]


[BCs]
  [./x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'front back'
    function = '0E-6*x'
  [../]
  [./y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'front back'
    function = '4E-6*y'
  [../]
  [./z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'front back'
    function = '2E-6*z'
  [../]
[]

[AuxVariables]
  [./stress_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f0]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f1]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./int0]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./int1]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]

[AuxKernels]
  [./stress_xx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xx
    index_i = 0
    index_j = 0
  [../]
  [./stress_xy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xy
    index_i = 0
    index_j = 1
  [../]
  [./stress_xz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xz
    index_i = 0
    index_j = 2
  [../]
  [./stress_yy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yy
    index_i = 1
    index_j = 1
  [../]
  [./stress_yz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yz
    index_i = 1
    index_j = 2
  [../]
  [./stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zz
    index_i = 2
    index_j = 2
  [../]
  [./f0]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 0
    variable = f0
  [../]
  [./f1]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 1
    variable = f1
  [../]
  [./int0]
    type = MaterialStdVectorAux
    property = plastic_internal_parameter
    factor = 1E6
    index = 0
    variable = int0
  [../]
  [./int1]
    type = MaterialStdVectorAux
    property = plastic_internal_parameter
    factor = 1E6
    index = 1
    variable = int1
  [../]
[]

[Postprocessors]
  [./s_xx]
    type = PointValue
    point = '0 0 0'
    variable = stress_xx
  [../]
  [./s_xy]
    type = PointValue
    point = '0 0 0'
    variable = stress_xy
  [../]
  [./s_xz]
    type = PointValue
    point = '0 0 0'
    variable = stress_xz
  [../]
  [./s_yy]
    type = PointValue
    point = '0 0 0'
    variable = stress_yy
  [../]
  [./s_yz]
    type = PointValue
    point = '0 0 0'
    variable = stress_yz
  [../]
  [./s_zz]
    type = PointValue
    point = '0 0 0'
    variable = stress_zz
  [../]
  [./f0]
    type = PointValue
    point = '0 0 0'
    variable = f0
  [../]
  [./f1]
    type = PointValue
    point = '0 0 0'
    variable = f1
  [../]
  [./int0]
    type = PointValue
    point = '0 0 0'
    variable = int0
  [../]
  [./int1]
    type = PointValue
    point = '0 0 0'
    variable = int1
  [../]
[]

[UserObjects]
  [./simple1]
    type = SolidMechanicsPlasticSimpleTester
    a = 0
    b = 1
    strength = 1
    yield_function_tolerance = 1.0E-9
    internal_constraint_tolerance = 1.0E-9
  [../]
  [./simple2]
    type = SolidMechanicsPlasticSimpleTester
    a = 1
    b = 1
    strength = 2
    yield_function_tolerance = 1.0E-9
    internal_constraint_tolerance = 1.0E-9
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    block = 0
    fill_method = symmetric_isotropic
    C_ijkl = '0 0.5E6'
  [../]
  [./strain]
    type = ComputeFiniteStrain
    block = 0
    displacements = 'disp_x disp_y disp_z'
  [../]
  [./multi]
    type = ComputeMultiPlasticityStress
    block = 0
    ep_plastic_tolerance = 1E-9
    plastic_models = 'simple1 simple2'
    max_NR_iterations = 2
    min_stepsize = 1
    debug_fspb = crash
    debug_jac_at_stress = '10 0 0 0 10 0 0 0 10'
    debug_jac_at_pm = '1 1'
    debug_jac_at_intnl = '1 1'
    debug_stress_change = 1E-5
    debug_pm_change = '1E-6 1E-6'
    debug_intnl_change = '1E-6 1E-6'
  [../]
[]


[Executioner]
  end_time = 1
  dt = 1
  type = Transient
[]


[Outputs]
  file_base = two_surface04
  exodus = false
  [./csv]
    type = CSV
    [../]
[]

(modules/combined/test/tests/cavity_pressure/rz_abs_ref.i)

#
# Cavity Pressure Test
#
# This test is designed to compute an internal pressure based on
#   p = n * R * T / V
# where
#   p is the pressure
#   n is the amount of material in the volume (moles)
#   R is the universal gas constant
#   T is the temperature
#   V is the volume
#
# The mesh is composed of one block (2) with an interior cavity of volume 8.
#   Block 1 sits in the cavity and has a volume of 1.  Thus, the total
#   initial volume is 7.
# The test adjusts T in the following way:
#   T => T0 + beta * t
# with
#   beta = T0
#   T0 = 240.54443866068704
#   V0 = 7
#   n0 = f(p0)
#   p0 = 100
#   R = 8.314472 J * K^(-1) * mol^(-1)
#
# So, n0 = p0 * V0 / R / T0 = 100 * 7 / 8.314472 / 240.544439
#        = 0.35
#
# At t = 1, p = 200.

[Problem]
  coord_type = RZ
  type = ReferenceResidualProblem
  reference_vector = ref
  extra_tag_vectors = ref
[]

[GlobalParams]
  displacements = 'disp_r disp_z'
  absolute_value_vector_tags = ref
[]

[Mesh]
  file = rz.e
[]

[Functions]
  [temperature]
    type = PiecewiseLinear
    x = '0 1'
    y = '1 2'
    scale_factor = 240.54443866068704
  []
[]

[Variables]
  [disp_r]
  []
  [disp_z]
  []
  [temp]
    initial_condition = 240.54443866068704
  []
[]

[Kernels]
  [TensorMechanics]
    use_displaced_mesh = true
  []
  [heat]
    type = Diffusion
    variable = temp
    use_displaced_mesh = true
  []
[]

[BCs]
  [no_x]
    type = DirichletBC
    variable = disp_r
    boundary = '1 2'
    value = 0.0
  []
  [no_y]
    type = DirichletBC
    variable = disp_z
    boundary = '1 2'
    value = 0.0
  []
  [temperatureInterior]
    type = FunctionDirichletBC
    boundary = 2
    function = temperature
    variable = temp
  []
  [CavityPressure]
    [1]
      boundary = 2
      initial_pressure = 100
      R = 8.314472
      temperature = aveTempInterior
      volume = internalVolume
      startup_time = 0.5
      output = ppress
    []
  []
[]

[Materials]
  [elastic_tensor1]
    type = ComputeIsotropicElasticityTensor
    youngs_modulus = 1e6
    poissons_ratio = 0.3
    block = 1
  []
  [strain1]
    type = ComputeAxisymmetricRZFiniteStrain
    block = 1
  []
  [stress1]
    type = ComputeFiniteStrainElasticStress
    block = 1
  []
  [elastic_tensor2]
    type = ComputeIsotropicElasticityTensor
    youngs_modulus = 1e6
    poissons_ratio = 0.3
    block = 2
  []
  [strain2]
    type = ComputeAxisymmetricRZFiniteStrain
    block = 2
  []
  [stress2]
    type = ComputeFiniteStrainElasticStress
    block = 2
  []
[]

[Executioner]
  type = Transient

  petsc_options_iname = '-pc_type -sub_pc_type'
  petsc_options_value = 'asm       lu'

  nl_abs_tol = 1e-10

  l_max_its = 20

  dt = 0.5
  end_time = 1.0
  use_pre_SMO_residual = true
[]

[Postprocessors]
  [internalVolume]
    type = InternalVolume
    boundary = 2
    execute_on = 'initial linear'
  []
  [aveTempInterior]
    type = SideAverageValue
    boundary = 2
    variable = temp
    execute_on = 'initial linear'
  []
[]

[Outputs]
  exodus = true
  [checkpoint]
    type = Checkpoint
    num_files = 1
  []
[]

(modules/solid_mechanics/test/tests/dynamics/wave_1D/wave_rayleigh_hht.i)

# Wave propogation in 1D using HHT time integration in the presence of Rayleigh damping
#
# The test is for an 1D bar element of length 4m  fixed on one end
# with a sinusoidal pulse dirichlet boundary condition applied to the other end.
# alpha, beta and gamma are HHT  time integration parameters
# eta and zeta are mass dependent and stiffness dependent Rayleigh damping
# coefficients, respectively.
# The equation of motion in terms of matrices is:
#
# M*accel + (eta*M+zeta*K)*((1+alpha)*vel-alpha*vel_old)
# +(1+alpha)*K*disp-alpha*K*disp_old = 0
#
# Here M is the mass matrix, K is the stiffness matrix
#
# The displacement at the first, second, third and fourth node at t = 0.1 are
# -7.787499960311491942e-02, 1.955566679096475483e-02 and -4.634888180231294501e-03, respectively.

[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 4
  nz = 1
  xmin = 0.0
  xmax = 0.1
  ymin = 0.0
  ymax = 4.0
  zmin = 0.0
  zmax = 0.1
[]


[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
[]

[AuxVariables]
  [./vel_x]
  [../]
  [./accel_x]
  [../]
  [./vel_y]
  [../]
  [./accel_y]
  [../]
  [./vel_z]
  [../]
  [./accel_z]
  [../]
[]

[Kernels]
  [./DynamicSolidMechanics]
    displacements = 'disp_x disp_y disp_z'
    hht_alpha = -0.3
    stiffness_damping_coefficient = 0.1
  [../]
  [./inertia_x]
    type = InertialForce
    variable = disp_x
    velocity = vel_x
    acceleration = accel_x
    beta = 0.422
    gamma = 0.8
    eta=0.1
    alpha = -0.3
  [../]
  [./inertia_y]
    type = InertialForce
    variable = disp_y
    velocity = vel_y
    acceleration = accel_y
    beta = 0.422
    gamma = 0.8
    eta=0.1
    alpha = -0.3
  [../]
  [./inertia_z]
    type = InertialForce
    variable = disp_z
    velocity = vel_z
    acceleration = accel_z
    beta = 0.422
    gamma = 0.8
    eta = 0.1
    alpha = -0.3
  [../]

[]

[AuxKernels]
  [./accel_x]
    type = NewmarkAccelAux
    variable = accel_x
    displacement = disp_x
    velocity = vel_x
    beta = 0.422
    execute_on = timestep_end
  [../]
  [./vel_x]
    type = NewmarkVelAux
    variable = vel_x
    acceleration = accel_x
    gamma = 0.8
    execute_on = timestep_end
  [../]
  [./accel_y]
    type = NewmarkAccelAux
    variable = accel_y
    displacement = disp_y
    velocity = vel_y
    beta = 0.422
    execute_on = timestep_end
  [../]
  [./vel_y]
    type = NewmarkVelAux
    variable = vel_y
    acceleration = accel_y
    gamma = 0.8
    execute_on = timestep_end
  [../]
  [./accel_z]
    type = NewmarkAccelAux
    variable = accel_z
    displacement = disp_z
    velocity = vel_z
    beta = 0.422
    execute_on = timestep_end
  [../]
  [./vel_z]
    type = NewmarkVelAux
    variable = vel_z
    acceleration = accel_z
    gamma = 0.8
    execute_on = timestep_end
  [../]
[]


[BCs]
  [./top_y]
    type = DirichletBC
    variable = disp_y
    boundary = top
    value=0.0
  [../]
  [./top_x]
   type = DirichletBC
    variable = disp_x
    boundary = top
    value=0.0
  [../]
  [./top_z]
    type = DirichletBC
    variable = disp_z
    boundary = top
    value=0.0
  [../]
  [./right_x]
    type = DirichletBC
    variable = disp_x
    boundary = right
    value=0.0
  [../]
  [./right_z]
    type = DirichletBC
    variable = disp_z
    boundary = right
    value=0.0
  [../]
  [./left_x]
    type = DirichletBC
    variable = disp_x
    boundary = left
    value=0.0
  [../]
  [./left_z]
    type = DirichletBC
    variable = disp_z
    boundary = left
    value=0.0
  [../]
  [./front_x]
    type = DirichletBC
    variable = disp_x
    boundary = front
    value=0.0
  [../]
  [./front_z]
    type = DirichletBC
    variable = disp_z
    boundary = front
    value=0.0
  [../]
  [./back_x]
    type = DirichletBC
    variable = disp_x
    boundary = back
    value=0.0
  [../]
  [./back_z]
    type = DirichletBC
    variable = disp_z
    boundary = back
    value=0.0
  [../]
  [./bottom_x]
    type = DirichletBC
    variable = disp_x
    boundary = bottom
    value=0.0
  [../]
  [./bottom_z]
    type = DirichletBC
    variable = disp_z
    boundary = bottom
    value=0.0
  [../]
  [./bottom_y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = bottom
    function = displacement_bc
  [../]
[]

[Materials]
  [./Elasticity_tensor]
    type = ComputeElasticityTensor
    block = 0
    fill_method = symmetric_isotropic
    C_ijkl = '1 0'
  [../]

  [./strain]
    type = ComputeSmallStrain
    block = 0
    displacements = 'disp_x disp_y disp_z'
  [../]

  [./stress]
    type = ComputeLinearElasticStress
    block = 0
  [../]

  [./density]
    type = GenericConstantMaterial
    block = 0
    prop_names = 'density'
    prop_values = '1'
  [../]

[]

[Executioner]
  type = Transient
  start_time = 0
  end_time = 6.0
  l_tol = 1e-12
  nl_rel_tol = 1e-12
  dt = 0.1
[]


[Functions]
  [./displacement_bc]
    type = PiecewiseLinear
    data_file = 'sine_wave.csv'
    format = columns
  [../]

[]

[Postprocessors]
  [./_dt]
    type = TimestepSize
  [../]
  [./disp_1]
    type = NodalVariableValue
    nodeid = 1
    variable = disp_y
  [../]
  [./disp_2]
    type = NodalVariableValue
    nodeid = 3
    variable = disp_y
  [../]
  [./disp_3]
    type = NodalVariableValue
    nodeid = 10
    variable = disp_y
  [../]
  [./disp_4]
    type = NodalVariableValue
    nodeid = 14
    variable = disp_y
  [../]
[]

[Outputs]
  exodus = true
  perf_graph = true
[]

(test/tests/bcs/nodal_normals/cylinder_hexes.i)

[Mesh]
  file = cylinder-hexes.e
[]

[Functions]
  [./all_bc_fn]
    type = ParsedFunction
    expression = x*x+y*y
  [../]

  [./f_fn]
    type = ParsedFunction
    expression = -4
  [../]
[]

[NodalNormals]
  boundary = '1'
  corner_boundary = 100
[]

[Variables]
  [./u]
  [../]
[]

[Kernels]
  [./diff]
    type = Diffusion
    variable = u
  [../]
  [./ffn]
    type = BodyForce
    variable = u
    function = f_fn
  [../]
[]

[BCs]
  [./all]
    type = FunctionDirichletBC
    variable = u
    boundary = '1'
    function = 'all_bc_fn'
  [../]
[]

[Executioner]
  type = Steady

  solve_type = 'PJFNK'
  nl_rel_tol = 1e-13
[]

[Outputs]
  execute_on = 'timestep_end'
  exodus = true
[]

(modules/contact/test/tests/normalized_penalty/normalized_penalty.i)

[GlobalParams]
  volumetric_locking_correction = false
  displacements = 'disp_x disp_y'
[]

[Mesh]
  file = normalized_penalty.e
[]

[Problem]
  type = ReferenceResidualProblem
  extra_tag_vectors = 'ref'
  reference_vector = 'ref'
[]

[Functions]
  [./left_x]
    type = PiecewiseLinear
    x = '0 1 2'
    y = '0 0.02 0'
  [../]
[]

[AuxVariables]
  [./saved_x]
  [../]
  [./saved_y]
  [../]
[]

[Physics/SolidMechanics/QuasiStatic]
  [./all]
    add_variables = true
    strain = FINITE
    generate_output = 'stress_xx'
    save_in = 'saved_x saved_y'
    extra_vector_tags = 'ref'
  []
[]

[Contact]
  [./m3_s2]
    primary = 3
    secondary = 2
    penalty = 1e10
    normalize_penalty = true
    formulation = penalty
    tangential_tolerance = 1e-3
  [../]
[]

[BCs]
  [./left_x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 1
    function = left_x
  [../]

  [./y]
    type = DirichletBC
    variable = disp_y
    boundary = '1 2 3 4'
    value = 0.0
  [../]

  [./right]
    type = DirichletBC
    variable = disp_x
    boundary = '3 4'
    value = 0
  [../]
[]

[Materials]
  [./stiffStuff1]
    type = ComputeIsotropicElasticityTensor
    block = '1 2 3 4 1000'
    youngs_modulus = 3e8
    poissons_ratio = 0.0
  [../]
  [./stiffStuff1_stress]
    type = ComputeFiniteStrainElasticStress
    block = '1 2 3 4 1000'
  [../]
[]

[Executioner]
  type = Transient
  solve_type = 'PJFNK'

  petsc_options_iname = '-pc_type -ksp_gmres_restart'
  petsc_options_value = 'lu       101'

  line_search = 'none'

  nl_rel_tol = 1e-12
  nl_abs_tol = 5e-8

  l_max_its = 100
  nl_max_its = 10
  dt = 0.5
  num_steps = 4
[]

[Outputs]
  exodus = true
[]

(modules/peridynamics/test/tests/failure_tests/2D_stretch_failure_BPD.i)


[GlobalParams]
  displacements = 'disp_x disp_y'
[]

[Mesh]
  type = PeridynamicsMesh
  horizon_number = 3
  cracks_start = '0.25 0.5 0'
  cracks_end = '0.75 0.5 0'

  [./gmg]
    type = GeneratedMeshGenerator
    dim = 2
    nx = 8
    ny = 8
  [../]
  [./gpd]
    type = MeshGeneratorPD
    input = gmg
    retain_fe_mesh = false
  [../]
[]

[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
[]

[AuxVariables]
  [./damage]
  [../]
  [./intact_bonds_num]
  [../]
  [./critical_stretch]
    family = MONOMIAL
    order = CONSTANT
  [../]
[]

[AuxKernels]
  [./bond_status]
    type = StretchBasedFailureCriterionPD
    critical_variable = critical_stretch
    variable = bond_status
  [../]
[]

[UserObjects]
  [./damage]
    type = NodalDamageIndexPD
    variable = damage
  [../]
  [./intact_bonds]
    type = NodalNumIntactBondsPD
    variable = intact_bonds_num
  [../]
[]

[ICs]
  [./critical_stretch]
    type = ConstantIC
    variable = critical_stretch
    value = 0.001
  [../]
[]

[BCs]
  [./left_x]
    type = DirichletBC
    variable = disp_x
    boundary = 1003
    value = 0.0
  [../]
  [./top_y]
    type = DirichletBC
    variable = disp_y
    boundary = 1002
    value = 0.0
  [../]
  [./bottom_y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 1000
    function = '-0.001*t'
  [../]

  [./rbm_x]
    type = RBMPresetOldValuePD
    variable = disp_x
    boundary = 999
  [../]
  [./rbm_y]
    type = RBMPresetOldValuePD
    variable = disp_y
    boundary = 999
  [../]
[]

[Modules/Peridynamics/Mechanics/Master]
  [./all]
    formulation = BOND
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeIsotropicElasticityTensor
    youngs_modulus = 2e5
    poissons_ratio = 0.33
  [../]

  [./force_density]
    type = ComputeSmallStrainConstantHorizonMaterialBPD
  [../]
[]

[Preconditioning]
  [./SMP]
    type = SMP
    full = true
  [../]
[]

[Executioner]
  type = Transient
  solve_type = PJFNK
  line_search = none
  start_time = 0
  dt = 0.5
  end_time = 1
[]

[Outputs]
  file_base = 2D_stretch_failure_BPD
  exodus = true
[]

(test/tests/time_steppers/iteration_adaptive/piecewise_linear.i)

[Mesh]
  type = GeneratedMesh
  dim = 2
  nx = 50
  ny = 2
  xmax = 5
[]

[Variables]
  [./u]
    order = FIRST
    family = LAGRANGE
  [../]
[]

[Functions]
  [./temp_spike]
    type = PiecewiseLinear
    x = '0 1 1.1 1.2 2'
    y = '1 1 2   1   1'
  [../]
[]

[Kernels]
  [./diff]
    type = Diffusion
    variable = u
  [../]
  [./dt]
    type = TimeDerivative
    variable = u
  [../]
[]

[BCs]
  [./left]
    type = FunctionDirichletBC
    variable = u
    boundary = left
    function = temp_spike
  [../]
  [./right]
    type = NeumannBC
    variable = u
    boundary = right
    value = -1
  [../]
[]

[Executioner]
  type = Transient
  solve_type = NEWTON
  start_time = 0.0
  end_time = 2.0
  verbose = true
  [./TimeStepper]
    type = IterationAdaptiveDT
    dt = 0.9
    optimal_iterations = 10
    timestep_limiting_function = temp_spike
    max_function_change = 0.5
  [../]
[]

[Postprocessors]
  [./dt]
    type = TimestepSize
  [../]
[]

[Outputs]
  csv = true
[]

(test/tests/geomsearch/3d_moving_penetration/pl_test4qtt.i)

[GlobalParams]
  order = SECOND
  family = LAGRANGE
[]

[Mesh]
  file = pl_test4qtt.e
  displacements = 'disp_x disp_y disp_z'
[]

[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
[]

[AuxVariables]
  [./distance]
  [../]
  [./tangential_distance]
  [../]
  [./normal_x]
  [../]
  [./normal_y]
  [../]
  [./normal_z]
  [../]
  [./closest_point_x]
  [../]
  [./closest_point_y]
  [../]
  [./closest_point_z]
  [../]
  [./element_id]
  [../]
  [./side]
  [../]
[]

[Kernels]
  [./diff_x]
    type = Diffusion
    variable = disp_x
  [../]
  [./diff_y]
    type = Diffusion
    variable = disp_y
  [../]
  [./diff_z]
    type = Diffusion
    variable = disp_z
  [../]
[]

[AuxKernels]
  [./penetrate]
    type = PenetrationAux
    variable = distance
    boundary = 11            #secondary
    paired_boundary = 12     #primary
    tangential_tolerance = 0.1
  [../]

  [./penetrate2]
    type = PenetrationAux
    variable = distance
    boundary = 12            #secondary
    paired_boundary = 11     #primary
    tangential_tolerance = 0.1
  [../]

  [./penetrate3]
    type = PenetrationAux
    variable = tangential_distance
    boundary = 11
    paired_boundary = 12
    quantity = tangential_distance
  [../]

  [./penetrate4]
    type = PenetrationAux
    variable = tangential_distance
    boundary = 12
    paired_boundary = 11
    quantity = tangential_distance
  [../]

  [./penetrate5]
    type = PenetrationAux
    variable = normal_x
    boundary = 11
    paired_boundary = 12
    quantity = normal_x
  [../]

  [./penetrate6]
    type = PenetrationAux
    variable = normal_x
    boundary = 12
    paired_boundary = 11
    quantity = normal_x
  [../]

  [./penetrate7]
    type = PenetrationAux
    variable = normal_y
    boundary = 11
    paired_boundary = 12
    quantity = normal_y
  [../]

  [./penetrate8]
    type = PenetrationAux
    variable = normal_y
    boundary = 12
    paired_boundary = 11
    quantity = normal_y
  [../]

  [./penetrate9]
    type = PenetrationAux
    variable = normal_z
    boundary = 11
    paired_boundary = 12
    quantity = normal_z
  [../]

  [./penetrate10]
    type = PenetrationAux
    variable = normal_z
    boundary = 12
    paired_boundary = 11
    quantity = normal_z
  [../]

  [./penetrate11]
    type = PenetrationAux
    variable = closest_point_x
    boundary = 11
    paired_boundary = 12
    quantity = closest_point_x
  [../]

  [./penetrate12]
    type = PenetrationAux
    variable = closest_point_x
    boundary = 12
    paired_boundary = 11
    quantity = closest_point_x
  [../]

  [./penetrate13]
    type = PenetrationAux
    variable = closest_point_y
    boundary = 11
    paired_boundary = 12
    quantity = closest_point_y
  [../]

  [./penetrate14]
    type = PenetrationAux
    variable = closest_point_y
    boundary = 12
    paired_boundary = 11
    quantity = closest_point_y
  [../]

  [./penetrate15]
    type = PenetrationAux
    variable = closest_point_z
    boundary = 11
    paired_boundary = 12
    quantity = closest_point_z
  [../]

  [./penetrate16]
    type = PenetrationAux
    variable = closest_point_z
    boundary = 12
    paired_boundary = 11
    quantity = closest_point_z
  [../]

  [./penetrate17]
    type = PenetrationAux
    variable = element_id
    boundary = 11
    paired_boundary = 12
    quantity = element_id
  [../]

  [./penetrate18]
    type = PenetrationAux
    variable = element_id
    boundary = 12
    paired_boundary = 11
    quantity = element_id
  [../]

  [./penetrate19]
    type = PenetrationAux
    variable = side
    boundary = 11
    paired_boundary = 12
    quantity = side
  [../]

  [./penetrate20]
    type = PenetrationAux
    variable = side
    boundary = 12
    paired_boundary = 11
    quantity = side
  [../]
[]

[BCs]
  [./b1x]
    type = DirichletBC
    variable = disp_x
    boundary = 1
    value = 0
  [../]

  [./b1y]
    type = DirichletBC
    variable = disp_y
    boundary = 1
    value = 0
  [../]

  [./b1z]
    type = DirichletBC
    variable = disp_z
    boundary = 1
    value = 0
  [../]

  [./b2x]
    type = DirichletBC
    variable = disp_x
    boundary = 2
    value = 0
  [../]

  [./b2y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 2
    function = disp_y
  [../]

  [./b2z]
    type = DirichletBC
    variable = disp_z
    boundary = 2
    value = 0
  [../]
[]

[Functions]
  [./disp_y]
    type = PiecewiseLinear
    x = '0.0 0.25 0.75 1.0'
    y = '0.0 2.0 -2.0  0.0'
  [../]
[]

[Executioner]
  type = Transient

  solve_type = 'PJFNK'
  petsc_options = '-snes_ksp_ew'

  nl_abs_tol = 1e-7
  l_max_its = 10

  start_time = 0.0
  dt = 0.0125
  end_time = 1.0
  [./Quadrature]
    order = THIRD
  [../]
[]

[Outputs]
  file_base = pl_test4qtt_out
  exodus = true
[]

(modules/solid_mechanics/test/tests/umat/elastic_shear/elastic_shear.i)

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]

[Functions]
  [tdisp]
    type = ParsedFunction
    expression = '0.025 * t'
  []
[]

[Mesh]
  [msh]
    type = GeneratedMeshGenerator
    dim = 3
    nx = 1
    ny = 1
    nz = 1
    xmin = 0
    xmax = 1
    ymin = 0
    ymax = 1
    zmin = 0
    zmax = 1
  []
[]

[Physics/SolidMechanics/QuasiStatic]
  [all]
    add_variables = true
    strain = FINITE
    generate_output = 'stress_xx stress_yy stress_zz stress_xy stress_xz stress_yz'
  []
[]

[BCs]
  [bottom_x]
    type = DirichletBC
    variable = disp_x
    boundary = bottom
    value = 0
  []
  [bottom_y]
    type = DirichletBC
    variable = disp_y
    boundary = bottom
    value = 0
  []
  [bottom_z]
    type = DirichletBC
    variable = disp_z
    boundary = bottom
    value = 0
  []
  [top_y]
    type = DirichletBC
    variable = disp_y
    boundary = top
    value = 0
  []
  [top_z]
    type = DirichletBC
    variable = disp_z
    boundary = top
    value = 0
  []
  [tdisp]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = top
    function = tdisp
  []
[]

[Materials]
  [umat]
    type = AbaqusUMATStress
    # c10=G/2   D=2/K
    constant_properties = '5 0.025'
    plugin = '../../../plugins/neo_hooke'
    num_state_vars = 0
    use_one_based_indexing = true
  []
[]

[Executioner]
  type = Transient
  solve_type = 'PJFNK'

  petsc_options = '-snes_ksp_ew'
  petsc_options_iname = '-ksp_gmres_restart'
  petsc_options_value = '101'

  line_search = 'none'

  l_max_its = 100
  nl_max_its = 100
  nl_rel_tol = 1e-12
  nl_abs_tol = 1e-10
  l_tol = 1e-9
  start_time = 0.0
  end_time = 20

  dt = 10.0
[]

[Preconditioning]
  [smp]
    type = SMP
    full = true
  []
[]

[Outputs]
  exodus = true
  time_step_interval = 1
[]

(modules/combined/test/tests/nodal_patch_recovery/npr_with_lower_domains.i)

E_block = 1e7
E_plank = 1e7
elem = QUAD4
order = FIRST

[Mesh]
  patch_size = 80
  patch_update_strategy = auto
  [plank]
    type = GeneratedMeshGenerator
    dim = 2
    xmin = -0.3
    xmax = 0.3
    ymin = -10
    ymax = 10
    nx = 2
    ny = 67
    elem_type = ${elem}
    boundary_name_prefix = plank
  []
  [plank_id]
    type = SubdomainIDGenerator
    input = plank
    subdomain_id = 1
  []

  [block]
    type = GeneratedMeshGenerator
    dim = 2
    xmin = 0.31
    xmax = 0.91
    ymin = 7.7
    ymax = 8.5
    nx = 3
    ny = 4
    elem_type = ${elem}
    boundary_name_prefix = block
    boundary_id_offset = 10
  []
  [block_id]
    type = SubdomainIDGenerator
    input = block
    subdomain_id = 2
  []

  [combined]
    type = MeshCollectionGenerator
    inputs = 'plank_id block_id'
  []
  [block_rename]
    type = RenameBlockGenerator
    input = combined
    old_block = '1 2'
    new_block = 'plank block'
  []

  [secondary]
    input = block_rename
    type = LowerDBlockFromSidesetGenerator
    sidesets = 'block_left'
    new_block_id = '30'
    new_block_name = 'frictionless_secondary_subdomain'
  []
  [primary]
    input = secondary
    type = LowerDBlockFromSidesetGenerator
    sidesets = 'plank_right'
    new_block_id = '20'
    new_block_name = 'frictionless_primary_subdomain'
  []
[]

[GlobalParams]
  displacements = 'disp_x disp_y'
[]

[Variables]
  [disp_x]
    order = ${order}
    block = 'plank block'
    scaling = '${fparse 2.0 / (E_plank + E_block)}'
  []
  [disp_y]
    order = ${order}
    block = 'plank block'
    scaling = '${fparse 2.0 / (E_plank + E_block)}'
  []
  [temp]
    order = ${order}
    block = 'plank block'
    scaling = 1e-1
  []
  [thermal_lm]
    order = ${order}
    block = 'frictionless_secondary_subdomain'
    scaling = 1e-7
  []
  [frictionless_normal_lm]
    order = ${order}
    block = 'frictionless_secondary_subdomain'
    use_dual = true
  []
[]

[AuxVariables]
  [stress_xx]
    order = FIRST
    family = MONOMIAL
    block = 'plank block'
  []
  [stress_yy]
    order = FIRST
    family = MONOMIAL
    block = 'plank block'
  []
  [stress_xx_recovered]
    order = FIRST
    family = LAGRANGE
    block = 'plank block'
  []
  [stress_yy_recovered]
    order = FIRST
    family = LAGRANGE
    block = 'plank block'
  []
[]

[AuxKernels]
  [stress_xx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xx
    index_i = 0
    index_j = 0
    execute_on = 'timestep_end'
    block = 'plank block'
  []
  [stress_yy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yy
    index_i = 1
    index_j = 1
    execute_on = 'timestep_end'
    block = 'plank block'
  []
  [stress_xx_recovered]
    type = NodalPatchRecoveryAux
    variable = stress_xx_recovered
    nodal_patch_recovery_uo = stress_xx_patch
    execute_on = 'TIMESTEP_END'
    block = 'plank block'
  []
  [stress_yy_recovered]
    type = NodalPatchRecoveryAux
    variable = stress_yy_recovered
    nodal_patch_recovery_uo = stress_yy_patch
    execute_on = 'TIMESTEP_END'
    block = 'plank block'
  []
[]

[Physics/SolidMechanics/QuasiStatic]
  [action]
    generate_output = 'stress_zz vonmises_stress hydrostatic_stress strain_xx strain_yy strain_zz'
    block = 'plank block'
    use_automatic_differentiation = false
    strain = FINITE
  []
[]

[Kernels]
  [hc]
    type = HeatConduction
    variable = temp
    use_displaced_mesh = true
    block = 'plank block'
  []
[]

[UserObjects]
  [weighted_gap_uo]
    type = LMWeightedGapUserObject
    primary_boundary = plank_right
    secondary_boundary = block_left
    primary_subdomain = frictionless_primary_subdomain
    secondary_subdomain = frictionless_secondary_subdomain
    lm_variable = frictionless_normal_lm
    disp_x = disp_x
    disp_y = disp_y
  []
  [stress_xx_patch]
    type = NodalPatchRecoveryMaterialProperty
    patch_polynomial_order = FIRST
    property = 'stress'
    component = '0 0'
    execute_on = 'NONLINEAR TIMESTEP_END'
    block = 'plank block'
  []
  [stress_yy_patch]
    type = NodalPatchRecoveryMaterialProperty
    patch_polynomial_order = FIRST
    property = 'stress'
    component = '1 1'
    execute_on = 'NONLINEAR TIMESTEP_END'
    block = 'plank block'
  []
[]

[Constraints]
  [weighted_gap_lm]
    type = ComputeWeightedGapLMMechanicalContact
    primary_boundary = plank_right
    secondary_boundary = block_left
    primary_subdomain = frictionless_primary_subdomain
    secondary_subdomain = frictionless_secondary_subdomain
    variable = frictionless_normal_lm
    disp_x = disp_x
    disp_y = disp_y
    use_displaced_mesh = true
    weighted_gap_uo = weighted_gap_uo
  []
  [normal_x]
    type = NormalMortarMechanicalContact
    primary_boundary = plank_right
    secondary_boundary = block_left
    primary_subdomain = frictionless_primary_subdomain
    secondary_subdomain = frictionless_secondary_subdomain
    variable = frictionless_normal_lm
    secondary_variable = disp_x
    component = x
    use_displaced_mesh = true
    compute_lm_residuals = false
    weighted_gap_uo = weighted_gap_uo
  []
  [normal_y]
    type = NormalMortarMechanicalContact
    primary_boundary = plank_right
    secondary_boundary = block_left
    primary_subdomain = frictionless_primary_subdomain
    secondary_subdomain = frictionless_secondary_subdomain
    variable = frictionless_normal_lm
    secondary_variable = disp_y
    component = y
    use_displaced_mesh = true
    compute_lm_residuals = false
    weighted_gap_uo = weighted_gap_uo
  []
  [thermal_contact]
    type = GapConductanceConstraint
    variable = thermal_lm
    secondary_variable = temp
    k = 1
    use_displaced_mesh = true
    primary_boundary = plank_right
    primary_subdomain = frictionless_primary_subdomain
    secondary_boundary = block_left
    secondary_subdomain = frictionless_secondary_subdomain
    displacements = 'disp_x disp_y'
  []
[]

[BCs]
  [left_temp]
    type = DirichletBC
    variable = temp
    boundary = 'plank_left'
    value = 400
  []

  [right_temp]
    type = DirichletBC
    variable = temp
    boundary = 'block_right'
    value = 300
  []

  [left_x]
    type = DirichletBC
    variable = disp_x
    boundary = plank_left
    value = 0.0
  []
  [left_y]
    type = DirichletBC
    variable = disp_y
    boundary = plank_bottom
    value = 0.0
  []
  [right_x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = block_right
    function = '-0.04*sin(4*(t+1.5))+0.02'
    preset = false
  []
  [right_y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = block_right
    function = '-t'
    preset = false
  []
[]

[Materials]
  [plank]
    type = ComputeIsotropicElasticityTensor
    block = 'plank'
    poissons_ratio = 0.3
    youngs_modulus = ${E_plank}
  []
  [block]
    type = ComputeIsotropicElasticityTensor
    block = 'block'
    poissons_ratio = 0.3
    youngs_modulus = ${E_block}
  []
  [stress]
    type = ComputeFiniteStrainElasticStress
    block = 'plank block'
  []

  [heat_plank]
    type = HeatConductionMaterial
    block = plank
    thermal_conductivity = 2
    specific_heat = 1
  []
  [heat_block]
    type = HeatConductionMaterial
    block = block
    thermal_conductivity = 1
    specific_heat = 1
  []
[]

[Executioner]
  type = Transient
  solve_type = 'NEWTON'
  petsc_options = '-snes_converged_reason -ksp_converged_reason'
  petsc_options_iname = '-pc_type -pc_factor_shift_type -pc_factor_shift_amount -snes_max_it'
  petsc_options_value = 'lu       NONZERO               1e-15                   20'
  end_time = 0.4
  dt = 0.1
  dtmin = 0.1
  timestep_tolerance = 1e-6
  line_search = 'none'
[]

[Postprocessors]
  [nl_its]
    type = NumNonlinearIterations
  []
  [total_nl_its]
    type = CumulativeValuePostprocessor
    postprocessor = nl_its
  []
  [l_its]
    type = NumLinearIterations
  []
  [total_l_its]
    type = CumulativeValuePostprocessor
    postprocessor = l_its
  []
  [contact]
    type = ContactDOFSetSize
    variable = frictionless_normal_lm
    subdomain = frictionless_secondary_subdomain
  []
  [avg_hydro]
    type = ElementAverageValue
    variable = hydrostatic_stress
    block = 'block'
  []
  [avg_temp]
    type = ElementAverageValue
    variable = temp
    block = 'block'
  []
  [max_hydro]
    type = ElementExtremeValue
    variable = hydrostatic_stress
    block = 'block'
  []
  [min_hydro]
    type = ElementExtremeValue
    variable = hydrostatic_stress
    block = 'block'
    value_type = min
  []
  [avg_vonmises]
    type = ElementAverageValue
    variable = vonmises_stress
    block = 'block'
  []
  [max_vonmises]
    type = ElementExtremeValue
    variable = vonmises_stress
    block = 'block'
  []
  [min_vonmises]
    type = ElementExtremeValue
    variable = vonmises_stress
    block = 'block'
    value_type = min
  []
  [stress_xx_recovered]
    type = ElementExtremeValue
    variable = stress_xx_recovered
    block = 'block'
    value_type = max
  []
  [stress_yy_recovered]
    type = ElementExtremeValue
    variable = stress_yy_recovered
    block = 'block'
    value_type = max
  []
[]

[Outputs]
  exodus = true
  [comp]
    type = CSV
    show = 'contact avg_temp'
  []
  [out]
    type = CSV
  []
  [dof]
    type = DOFMap
    execute_on = 'initial'
  []
[]

[Debug]
  show_var_residual_norms = true
[]

(modules/solid_mechanics/test/tests/capped_weak_plane/except6.i)

# Plastic deformation, tensile failure, with normal=(1,0,0)
# With Lame lambda=0 and Lame mu=1, applying the following
# deformation to the zmax surface of a unit cube:
# disp_x = t
# should yield trial stress:
# stress_xx = 2*t
# Use tensile strength = 1, we should return to stress_xx = 1
[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]
[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]

[Physics/SolidMechanics/QuasiStatic]
  [./all]
    add_variables = true
    incremental = true
    generate_output = 'stress_xx stress_xy stress_xz stress_yy stress_yz stress_zz'
  [../]
[]

[BCs]
  [./bottomx]
    type = DirichletBC
    variable = disp_x
    boundary = left
    value = 0.0
  [../]
  [./bottomy]
    type = DirichletBC
    variable = disp_y
    boundary = left
    value = 0.0
  [../]
  [./bottomz]
    type = DirichletBC
    variable = disp_z
    boundary = left
    value = 0.0
  [../]

  [./topx]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = right
    function = t
  [../]
  [./topy]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = right
    function = 0
  [../]
  [./topz]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = right
    function = 0
  [../]
[]

[AuxVariables]
  [./strainp_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./strainp_xy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./strainp_xz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./strainp_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./strainp_yz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./strainp_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./straint_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./straint_xy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./straint_xz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./straint_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./straint_yz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./straint_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f_shear]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f_tensile]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f_compressive]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./intnl_shear]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./intnl_tensile]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./iter]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./ls]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]

[AuxKernels]
  [./strainp_xx]
    type = RankTwoAux
    rank_two_tensor = plastic_strain
    variable = strainp_xx
    index_i = 0
    index_j = 0
  [../]
  [./strainp_xy]
    type = RankTwoAux
    rank_two_tensor = plastic_strain
    variable = strainp_xy
    index_i = 0
    index_j = 1
  [../]
  [./strainp_xz]
    type = RankTwoAux
    rank_two_tensor = plastic_strain
    variable = strainp_xz
    index_i = 0
    index_j = 2
  [../]
  [./strainp_yy]
    type = RankTwoAux
    rank_two_tensor = plastic_strain
    variable = strainp_yy
    index_i = 1
    index_j = 1
  [../]
  [./strainp_yz]
    type = RankTwoAux
    rank_two_tensor = plastic_strain
    variable = strainp_yz
    index_i = 1
    index_j = 2
  [../]
  [./strainp_zz]
    type = RankTwoAux
    rank_two_tensor = plastic_strain
    variable = strainp_zz
    index_i = 2
    index_j = 2
  [../]
  [./straint_xx]
    type = RankTwoAux
    rank_two_tensor = total_strain
    variable = straint_xx
    index_i = 0
    index_j = 0
  [../]
  [./straint_xy]
    type = RankTwoAux
    rank_two_tensor = total_strain
    variable = straint_xy
    index_i = 0
    index_j = 1
  [../]
  [./straint_xz]
    type = RankTwoAux
    rank_two_tensor = total_strain
    variable = straint_xz
    index_i = 0
    index_j = 2
  [../]
  [./straint_yy]
    type = RankTwoAux
    rank_two_tensor = total_strain
    variable = straint_yy
    index_i = 1
    index_j = 1
  [../]
  [./straint_yz]
    type = RankTwoAux
    rank_two_tensor = total_strain
    variable = straint_yz
    index_i = 1
    index_j = 2
  [../]
  [./straint_zz]
    type = RankTwoAux
    rank_two_tensor = total_strain
    variable = straint_zz
    index_i = 2
    index_j = 2
  [../]
  [./f_shear]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 0
    variable = f_shear
  [../]
  [./f_tensile]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 1
    variable = f_tensile
  [../]
  [./f_compressive]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 2
    variable = f_compressive
  [../]
  [./intnl_shear]
    type = MaterialStdVectorAux
    property = plastic_internal_parameter
    index = 0
    variable = intnl_shear
  [../]
  [./intnl_tensile]
    type = MaterialStdVectorAux
    property = plastic_internal_parameter
    index = 1
    variable = intnl_tensile
  [../]
  [./iter]
    type = MaterialRealAux
    property = plastic_NR_iterations
    variable = iter
  [../]
  [./ls]
    type = MaterialRealAux
    property = plastic_linesearch_needed
    variable = ls
  [../]
[]

[Postprocessors]
  [./stress_xx]
    type = PointValue
    point = '0 0 0'
    variable = stress_xx
  [../]
  [./stress_xy]
    type = PointValue
    point = '0 0 0'
    variable = stress_xy
  [../]
  [./stress_xz]
    type = PointValue
    point = '0 0 0'
    variable = stress_xz
  [../]
  [./stress_yy]
    type = PointValue
    point = '0 0 0'
    variable = stress_yy
  [../]
  [./stress_yz]
    type = PointValue
    point = '0 0 0'
    variable = stress_yz
  [../]
  [./stress_zz]
    type = PointValue
    point = '0 0 0'
    variable = stress_zz
  [../]
  [./strainp_xx]
    type = PointValue
    point = '0 0 0'
    variable = strainp_xx
  [../]
  [./strainp_xy]
    type = PointValue
    point = '0 0 0'
    variable = strainp_xy
  [../]
  [./strainp_xz]
    type = PointValue
    point = '0 0 0'
    variable = strainp_xz
  [../]
  [./strainp_yy]
    type = PointValue
    point = '0 0 0'
    variable = strainp_yy
  [../]
  [./strainp_yz]
    type = PointValue
    point = '0 0 0'
    variable = strainp_yz
  [../]
  [./strainp_zz]
    type = PointValue
    point = '0 0 0'
    variable = strainp_zz
  [../]
  [./straint_xx]
    type = PointValue
    point = '0 0 0'
    variable = straint_xx
  [../]
  [./straint_xy]
    type = PointValue
    point = '0 0 0'
    variable = straint_xy
  [../]
  [./straint_xz]
    type = PointValue
    point = '0 0 0'
    variable = straint_xz
  [../]
  [./straint_yy]
    type = PointValue
    point = '0 0 0'
    variable = straint_yy
  [../]
  [./straint_yz]
    type = PointValue
    point = '0 0 0'
    variable = straint_yz
  [../]
  [./straint_zz]
    type = PointValue
    point = '0 0 0'
    variable = straint_zz
  [../]
  [./f_shear]
    type = PointValue
    point = '0 0 0'
    variable = f_shear
  [../]
  [./f_tensile]
    type = PointValue
    point = '0 0 0'
    variable = f_tensile
  [../]
  [./f_compressive]
    type = PointValue
    point = '0 0 0'
    variable = f_compressive
  [../]
  [./intnl_shear]
    type = PointValue
    point = '0 0 0'
    variable = intnl_shear
  [../]
  [./intnl_tensile]
    type = PointValue
    point = '0 0 0'
    variable = intnl_tensile
  [../]
  [./iter]
    type = PointValue
    point = '0 0 0'
    variable = iter
  [../]
  [./ls]
    type = PointValue
    point = '0 0 0'
    variable = ls
  [../]
[]


[UserObjects]
  [./coh]
    type = SolidMechanicsHardeningConstant
    value = 30
  [../]
  [./tanphi]
    type = SolidMechanicsHardeningConstant
    value = 0.5
  [../]
  [./tanpsi]
    type = SolidMechanicsHardeningConstant
    value = 0.1111077
  [../]
  [./t_strength]
    type = SolidMechanicsHardeningConstant
    value = 1
  [../]
  [./c_strength]
    type = SolidMechanicsHardeningConstant
    value = 40
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    fill_method = symmetric_isotropic
    C_ijkl = '0 1'
  [../]
  [./admissible]
    type = ComputeMultipleInelasticStress
    inelastic_models = stress
    perform_finite_strain_rotations = false
  [../]
  [./stress]
    type = CappedWeakInclinedPlaneStressUpdate
    normal_vector = '0 0 0'
    cohesion = coh
    tan_friction_angle = tanphi
    tan_dilation_angle = tanpsi
    tensile_strength = t_strength
    compressive_strength = c_strength
    tip_smoother = 0
    smoothing_tol = 0
    yield_function_tol = 1E-5
  [../]
[]

[Executioner]
  end_time = 2
  dt = 1
  type = Transient
[]

[Outputs]
  file_base = except6
  csv = true
[]

(modules/solid_mechanics/test/tests/notched_plastic_block/biaxial_smooth.i)

# Uses a multi-smooted version of Mohr-Coulomb (via CappedMohrCoulombStressUpdate and ComputeMultipleInelasticStress) to simulate the following problem.
# A cubical block is notched around its equator.
# All of its outer surfaces have roller BCs, but the notched region is free to move as needed
# The block is initialised with a high hydrostatic tensile stress
# Without the notch, the BCs do not allow contraction of the block, and this stress configuration is admissible
# With the notch, however, the interior parts of the block are free to move in order to relieve stress, and this causes plastic failure
# The top surface is then pulled upwards (the bottom is fixed because of the roller BCs)
# This causes more failure
[Mesh]
  [generated_mesh]
    type = GeneratedMeshGenerator
    dim = 3
    nx = 9
    ny = 9
    nz = 9
    xmin = 0
    xmax = 0.1
    ymin = 0
    ymax = 0.1
    zmin = 0
    zmax = 0.1
  []
  [block_to_remove_xmin]
    type = SubdomainBoundingBoxGenerator
    bottom_left = '-0.01 -0.01 0.045'
    top_right = '0.01 0.11 0.055'
    location = INSIDE
    block_id = 1
    input = generated_mesh
  []
  [block_to_remove_xmax]
    type = SubdomainBoundingBoxGenerator
    bottom_left = '0.09 -0.01 0.045'
    top_right = '0.11 0.11 0.055'
    location = INSIDE
    block_id = 1
    input = block_to_remove_xmin
  []
  [block_to_remove_ymin]
    type = SubdomainBoundingBoxGenerator
    bottom_left = '-0.01 -0.01 0.045'
    top_right = '0.11 0.01 0.055'
    location = INSIDE
    block_id = 1
    input = block_to_remove_xmax
  []
  [block_to_remove_ymax]
    type = SubdomainBoundingBoxGenerator
    bottom_left = '-0.01 0.09 0.045'
    top_right = '0.11 0.11 0.055'
    location = INSIDE
    block_id = 1
    input = block_to_remove_ymin
  []
  [remove_block]
    type = BlockDeletionGenerator
    block = 1
    input = block_to_remove_ymax
  []
[]

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]

[Physics/SolidMechanics/QuasiStatic]
  [./all]
    add_variables = true
    incremental = true
    generate_output = 'max_principal_stress mid_principal_stress min_principal_stress stress_zz'
    eigenstrain_names = ini_stress
  [../]
[]

[Postprocessors]
  [./uz]
    type = PointValue
    point = '0 0 0.1'
    use_displaced_mesh = false
    variable = disp_z
  [../]
  [./s_zz]
    type = ElementAverageValue
    use_displaced_mesh = false
    variable = stress_zz
  [../]
  [./num_res]
    type = NumResidualEvaluations
  [../]
  [./nr_its] # num_iters is the average number of NR iterations encountered per element in this timestep
    type = ElementAverageValue
    variable = num_iters
  [../]
  [./max_nr_its] # max_num_iters is the maximum number of NR iterations encountered in the element during the whole simulation
    type = ElementExtremeValue
    variable = max_num_iters
  [../]
  [./runtime]
    type = PerfGraphData
    data_type = TOTAL
    section_name = 'Root'
  [../]
[]

[BCs]
  # back=zmin, front=zmax, bottom=ymin, top=ymax, left=xmin, right=xmax
  [./xmin_xzero]
    type = DirichletBC
    variable = disp_x
    boundary = left
    value = 0.0
  [../]
  [./xmax_xzero]
    type = DirichletBC
    variable = disp_x
    boundary = right
    value = 0.0
  [../]
  [./ymin_yzero]
    type = DirichletBC
    variable = disp_y
    boundary = bottom
    value = 0.0
  [../]
  [./ymax_yzero]
    type = DirichletBC
    variable = disp_y
    boundary = top
    value = 0.0
  [../]
  [./zmin_zzero]
    type = DirichletBC
    variable = disp_z
    boundary = back
    value = '0'
  [../]
  [./zmax_disp]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = front
    function = '1E-6*max(t,0)'
  [../]
[]

[AuxVariables]
  [./mc_int]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./num_iters]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./max_num_iters]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./yield_fcn]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]

[AuxKernels]
  [./mc_int_auxk]
    type = MaterialStdVectorAux
    index = 0
    property = plastic_internal_parameter
    variable = mc_int
  [../]
  [./num_iters_auxk]
    type = MaterialRealAux
    property = plastic_NR_iterations
    variable = num_iters
  [../]
  [./max_num_iters_auxk]
    type = MaterialRealAux
    property = max_plastic_NR_iterations
    variable = max_num_iters
  [../]
  [./yield_fcn_auxk]
    type = MaterialStdVectorAux
    index = 6
    property = plastic_yield_function
    variable = yield_fcn
  [../]
[]

[UserObjects]
  [./ts]
    type = SolidMechanicsHardeningConstant
    value = 1E16
  [../]
  [./mc_coh]
    type = SolidMechanicsHardeningConstant
    value = 5E6
  [../]
  [./mc_phi]
    type = SolidMechanicsHardeningConstant
    value = 35
    convert_to_radians = true
  [../]
  [./mc_psi]
    type = SolidMechanicsHardeningConstant
    value = 10
    convert_to_radians = true
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeIsotropicElasticityTensor
    youngs_modulus = 16E9
    poissons_ratio = 0.25
  [../]
  [./mc]
    type = CappedMohrCoulombStressUpdate
    tensile_strength = ts
    compressive_strength = ts
    cohesion = mc_coh
    friction_angle = mc_phi
    dilation_angle = mc_psi
    smoothing_tol = 0.2E6
    yield_function_tol = 1E-5
  [../]
  [./stress]
    type = ComputeMultipleInelasticStress
    inelastic_models = mc
    perform_finite_strain_rotations = false
  [../]
  [./strain_from_initial_stress]
    type = ComputeEigenstrainFromInitialStress
    initial_stress = '6E6 0 0  0 6E6 0  0 0 6E6'
    eigenstrain_name = ini_stress
  [../]
[]

[Preconditioning]
  [./andy]
    type = SMP
    full = true
  [../]
[]

[Executioner]
  start_time = -1
  end_time = 10
  dt = 1
  solve_type = NEWTON
  type = Transient

  l_tol = 1E-2
  nl_abs_tol = 1E-5
  nl_rel_tol = 1E-7
  l_max_its = 200
  nl_max_its = 400

  petsc_options_iname = '-pc_type -pc_asm_overlap -sub_pc_type -ksp_type -ksp_gmres_restart'
  petsc_options_value = ' asm      2              lu            gmres     200'
[]


[Outputs]
  file_base = biaxial_smooth
  perf_graph = true
  exodus = false
  csv = true
[]

(test/tests/outputs/sampled_output/over_sampling_test_file.i)

[Mesh]
  type = FileMesh
  file = square_3x3.e
[]

[Functions]
  [./exact_fn]
    type = ParsedFunction
    expression = t*((x*x)+(y*y))
  [../]

  [./forcing_fn]
    type = ParsedFunction
    expression = -4+(x*x+y*y)
  [../]
[]

[Variables]
  active = 'u'

  [./u]
    order = THIRD
    family = HERMITE
  [../]
[]

[Kernels]
  active = 'ie diff ffn'

  [./ie]
    type = TimeDerivative
    variable = u
  [../]

  [./diff]
    type = Diffusion
    variable = u
  [../]

  [./ffn]
    type = BodyForce
    variable = u
    function = forcing_fn
  [../]
[]

[BCs]
  [./all]
    type = FunctionDirichletBC
    variable = u
    boundary = '1 2 3 4'
    function = exact_fn
  [../]
[]

[Postprocessors]
  [./dt]
    type = TimestepSize
  [../]
[]

[Executioner]
  type = Transient

  solve_type = 'PJFNK'

  dt = 0.2
  start_time = 0
  num_steps = 5
[]

[Outputs]
  file_base = out_file
  exodus = true
  [./oversampling]
    file_base = out_file_oversample
    type = Exodus
    refinements = 3
  [../]
[]

(test/tests/time_integrators/crank-nicolson/cranic.i)

#
# Testing a solution that is second order in space and second order in time
#

[Mesh]
  type = GeneratedMesh
  dim = 2
  xmin = -1
  xmax = 1
  ymin = -1
  ymax = 1
  nx = 10
  ny = 10
  elem_type = QUAD9
[]

[Variables]
  [./u]
    order = SECOND
    family = LAGRANGE

    [./InitialCondition]
      type = ConstantIC
      value = 0
    [../]
  [../]
[]

[Functions]
  [./forcing_fn]
    type = ParsedFunction
    expression = 2*t*((x*x)+(y*y))-(4*t*t)
  [../]

  [./exact_fn]
    type = ParsedFunction
    expression = t*t*((x*x)+(y*y))
  [../]
[]

[Kernels]
  [./ie]
    type = TimeDerivative
    variable = u
  [../]

  [./diff]
    type = Diffusion
    variable = u
  [../]

  [./ffn]
    type = BodyForce
    variable = u
    function = forcing_fn
  [../]
[]

[BCs]
  [./all]
    type = FunctionDirichletBC
    variable = u
    boundary = '0 1 2 3'
    function = exact_fn
  [../]
[]

[Postprocessors]
  [./l2_err]
    type = ElementL2Error
    variable = u
    function = exact_fn
  [../]
[]

[Executioner]
  type = Transient
  scheme = 'crank-nicolson'

  start_time = 0.0
  num_steps = 5
  dt = 0.25

#  [./Adaptivity]
#    refine_fraction = 0.2
#    coarsen_fraction = 0.3
#    max_h_level = 4
#  [../]
[]

[Outputs]
  exodus = true
[]

(modules/xfem/test/tests/solid_mechanics_basic/test.i)

[GlobalParams]
  #displacements = 'disp_x disp_y'
  volumetric_locking_correction = true
[]

[XFEM]
  qrule = volfrac
  output_cut_plane = true
  use_crack_growth_increment = true
  crack_growth_increment = 0.2
[]

[Mesh]
  type = GeneratedMesh
  dim = 2
  nx = 5
  ny = 5
  xmin = 0.0
  xmax = 1.0
  ymin = 0.0
  ymax = 1.0
  elem_type = QUAD4
[]

[UserObjects]
  [./line_seg_cut_uo]
    type = LineSegmentCutUserObject
    cut_data = '1.0  0.5  0.3  0.5'
    time_start_cut = 0.0
    time_end_cut = 2.0
    heal_always = true
  [../]
[]

[Physics/SolidMechanics/QuasiStatic]
  displacements = 'disp_x disp_y'
  [./all]
    strain = FINITE
    planar_formulation = plane_strain
    add_variables = true
    displacements = 'disp_x disp_y'
  [../]
[]

[Functions]
  [./pull]
    type = PiecewiseLinear
    x='0  50   100'
    y='0  0.02 0.1'
  [../]
[]

[BCs]
  [./bottomx]
    type = DirichletBC
    boundary = bottom
    variable = disp_x
    value = 0.0
  [../]
  [./bottomy]
    type = DirichletBC
    boundary = bottom
    variable = disp_y
    value = 0.0
  [../]
  [./topx]
    type = DirichletBC
    boundary = top
    variable = disp_x
    value = 0.0
  [../]
  [./topy]
    type = FunctionDirichletBC
    boundary = top
    variable = disp_y
    function = pull
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeIsotropicElasticityTensor
    youngs_modulus = 1e6
    poissons_ratio = 0.3
    block = 0
  [../]

  [./_elastic_strain]
    type = ComputeFiniteStrainElasticStress
    block = 0
    displacements = 'disp_x disp_y'
  [../]
[]

[Executioner]
  type = Transient

  solve_type = 'PJFNK'
  petsc_options_iname = '-ksp_gmres_restart -pc_type -pc_hypre_type -pc_hypre_boomeramg_max_iter'
  petsc_options_value = '201                hypre    boomeramg      8'

  line_search = 'none'

  [./Predictor]
    type = SimplePredictor
    scale = 1.0
  [../]

# controls for linear iterations
  l_max_its = 100
  l_tol = 1e-2

# controls for nonlinear iterations
  nl_max_its = 15
  nl_rel_tol = 1e-14
  nl_abs_tol = 1e-9

# time control
  start_time = 0.0
  dt = 1.0
  end_time = 2.0
  num_steps = 5000

  max_xfem_update = 1
[]

[Outputs]
  file_base = crack_propagation_2d_out
  exodus = true
  execute_on = timestep_end
  [./console]
    type = Console
    output_linear = true
  [../]
[]

(test/tests/interfacekernels/adaptivity/adaptivity.i)

# This input file is used for two tests:
# 1) Check that InterfaceKernels work with mesh adaptivity
# 2) Error out when InterfaceKernels are used with adaptivity
#    and stateful material prpoerties

[Mesh]
  parallel_type = 'replicated'
  [gen]
    type = GeneratedMeshGenerator
    dim = 2
    nx = 2
    ny = 2
  []
  [./subdomain1]
    input = gen
    type = SubdomainBoundingBoxGenerator
    bottom_left = '0.5 0 0'
    top_right = '1 1 0'
    block_id = 1
  [../]
  [./interface]
    type = SideSetsBetweenSubdomainsGenerator
    input = subdomain1
    primary_block = '0'
    paired_block = '1'
    new_boundary = 'primary0_interface'
  [../]
  [./break_boundary]
    input = interface
    type = BreakBoundaryOnSubdomainGenerator
  [../]
[]

[Variables]
  [./u]
    [./InitialCondition]
      type = ConstantIC
      value = 1
    [../]
    block = 0
  [../]
  [./u_neighbor]
    [./InitialCondition]
      type = ConstantIC
      value = 1
    [../]
    block = 1
  [../]
[]

[Functions]
  [./forcing_fn]
    type = ParsedFunction
    expression = (x*x*x)-6.0*x
  [../]

  [./bc_fn]
    type = ParsedFunction
    expression = (x*x*x)
  [../]
[]

[Kernels]
  [./diff]
    type = MatDiffusionTest
    variable = u
    prop_name = diffusivity
    block = 0
  [../]
  [./abs]
    type = Reaction
    variable = u
    block = 0
  [../]
  [./forcing]
    type = BodyForce
    variable = u
    function = forcing_fn
    block = 0
  [../]
  [./diffn]
    type = MatDiffusionTest
    variable = u_neighbor
    prop_name = diffusivity
    block = 1
  [../]
  [./absn]
    type = Reaction
    variable = u_neighbor
    block = 1
  [../]
  [./forcingn]
    type = BodyForce
    variable = u_neighbor
    function = forcing_fn
    block = 1
  [../]
[]

[InterfaceKernels]
  [./flux_match]
    type = PenaltyInterfaceDiffusion
    variable = u
    neighbor_var = u_neighbor
    boundary = primary0_interface
    penalty = 1e6
  [../]
[]

[BCs]
  [./u]
    type = FunctionDirichletBC
    variable = u
    boundary = 'left'
    function = bc_fn
  [../]
  [./u_neighbor]
    type = FunctionDirichletBC
    variable = u_neighbor
    boundary = 'right'
    function = bc_fn
  [../]
[]

[Materials]
  active = 'constant'
  [./stateful]
    type = StatefulTest
    prop_names = 'diffusivity'
    prop_values = '1'
    block = '0 1'
  [../]
  [./constant]
    type = GenericConstantMaterial
    prop_names = 'diffusivity'
    prop_values = '1'
    block = '0 1'
  [../]
[]

[Preconditioning]
  [./smp]
    type = SMP
    full = true
  [../]
[]

[Executioner]
  type = Steady
  solve_type = 'NEWTON'
[]

[Adaptivity]
  marker = 'marker'
  steps = 1
  [./Markers]
    [./marker]
      type = BoxMarker
      bottom_left = '0 0 0'
      top_right = '1 1 0'
      inside = refine
      outside = coarsen
    [../]
  [../]
[]

[Outputs]
  exodus = true
[]

(modules/xfem/test/tests/solid_mechanics_basic/test_crack_counter.i)

# This test is used to verify that the pure test object (TestCrackCounter)
# is correctly using the API for extracting the crack_tip_origin_direction_map
# from XFEM.  The map contains information of the location of all the crack tips
# computed by XFEM.  The TestCrackCounter postprocessor simply returns the
# number of elements in the map which corresponds to the number of cracks.
#
# In this test case 4 prescribed cracks are applied.  Therefore, the
# TestCrackCounter postprocessor returns a value of 4.

[GlobalParams]
  displacements = 'disp_x disp_y'
  volumetric_locking_correction = true
[]

[XFEM]
  qrule = volfrac
  output_cut_plane = true
[]

[Mesh]
  type = GeneratedMesh
  dim = 2
  nx = 11
  ny = 11
  xmin = 0.0
  xmax = 1.0
  ymin = 0.0
  ymax = 1.0
  elem_type = QUAD4
[]

[UserObjects]
  [./line_seg_cut_uo]
    type = LineSegmentCutUserObject
    cut_data = '1.0  0.5  0.7  0.5'
    time_start_cut = 0.0
    time_end_cut = 0.0
  [../]
  [./line_seg_cut_uo2]
    type = LineSegmentCutUserObject
    cut_data = '0.0  0.5  0.3  0.5'
    time_start_cut = 0.0
    time_end_cut = 0.0
  [../]
  [./line_seg_cut_uo3]
    type = LineSegmentCutUserObject
    cut_data = '0.5  0.0  0.5  0.3'
    time_start_cut = 0.0
    time_end_cut = 0.0
  [../]
  [./line_seg_cut_uo4]
    type = LineSegmentCutUserObject
    cut_data = '0.5  1.0  0.5  0.7'
    time_start_cut = 0.0
    time_end_cut = 0.0
  [../]
[]

[Physics/SolidMechanics/QuasiStatic]
  [./all]
    strain = FINITE
    planar_formulation = plane_strain
    add_variables = true
  [../]
[]

[Functions]
  [./pull]
    type = PiecewiseLinear
    x='0  50   100'
    y='0  0.02 0.1'
  [../]
[]

[BCs]
  [./bottomx]
    type = DirichletBC
    boundary = bottom
    variable = disp_x
    value = 0.0
  [../]
  [./bottomy]
    type = DirichletBC
    boundary = bottom
    variable = disp_y
    value = 0.0
  [../]
  [./topx]
    type = DirichletBC
    boundary = top
    variable = disp_x
    value = 0.0
  [../]
  [./topy]
    type = FunctionDirichletBC
    boundary = top
    variable = disp_y
    function = pull
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeIsotropicElasticityTensor
    youngs_modulus = 1e6
    poissons_ratio = 0.3
    block = 0
  [../]

  [./_elastic_strain]
    type = ComputeFiniteStrainElasticStress
    block = 0
  [../]
[]

[Postprocessors]
  [./number_of_cracks]
    type = TestCrackCounter
  [../]
[]

[Executioner]
  type = Transient

  solve_type = 'PJFNK'
  petsc_options_iname = '-ksp_gmres_restart -pc_type -pc_hypre_type -pc_hypre_boomeramg_max_iter'
  petsc_options_value = '201                hypre    boomeramg      8'

  line_search = 'none'

# controls for linear iterations
  l_max_its = 100
  l_tol = 1e-2

# controls for nonlinear iterations
  nl_max_its = 15
  nl_rel_tol = 1e-14
  nl_abs_tol = 1e-9

# time control
  start_time = 0.0
  dt = 1.0
  end_time = 1.0
  num_steps = 5000

  max_xfem_update = 1
[]

[Outputs]
  csv = true
[]

(test/tests/mortar/continuity-2d-conforming/equalgradient.i)

[Mesh]
  [file]
    type = FileMeshGenerator
    file = 2blk-conf.e
  []
  [secondary]
    input = file
    type = LowerDBlockFromSidesetGenerator
    sidesets = '101'
    new_block_id = '10001'
    new_block_name = 'secondary_lower'
  []
  [primary]
    input = secondary
    type = LowerDBlockFromSidesetGenerator
    sidesets = '100'
    new_block_id = '10000'
    new_block_name = 'primary_lower'
  []
[]

[Variables]
  [./u]
    order = FIRST
    family = LAGRANGE
    block = '1 2'
  [../]

  [./lmx]
    order = FIRST
    family = LAGRANGE
    block = 'secondary_lower'
  [../]
  [./lmy]
    order = FIRST
    family = LAGRANGE
    block = 'secondary_lower'
  [../]
[]

[ICs]
  [./block1]
    type = FunctionIC
    variable = u
    block = 1
    function = y
  [../]
  [./block2]
    type = FunctionIC
    variable = u
    block = 2
    function = y-0.5
  [../]
[]

[Kernels]
  [./diff]
    type = Diffusion
    variable = u
  [../]
  [./dt]
    type = TimeDerivative
    variable = u
  [../]
[]

[Constraints]
  [./cedx]
    type = EqualGradientConstraint
    secondary_variable = u
    variable = lmx
    primary_boundary = 100
    primary_subdomain = 10000
    secondary_boundary = 101
    secondary_subdomain = 10001
    component = 0
  [../]
  [./cedy]
    type = EqualGradientConstraint
    secondary_variable = u
    variable = lmy
    primary_boundary = 100
    primary_subdomain = 10000
    secondary_boundary = 101
    secondary_subdomain = 10001
    component = 1
  [../]
[]

[BCs]
  [./all]
    type = DiffusionFluxBC
    variable = u
    boundary = '2 4 100 101'
  [../]
  [./boundary]
    type = DirichletBC
    boundary = 1
    variable = u
    value = 0.0
  [../]
  [./top]
    type = FunctionDirichletBC
    boundary = 3
    variable = u
    function = 0.5-t
  [../]
[]

[Preconditioning]
  [./fmp]
    type = SMP
    full = true
    solve_type = 'NEWTON'
  [../]
[]

[Executioner]
  type = Transient
  nl_rel_tol = 1e-11
  l_tol = 1e-10
  l_max_its = 10
  dt = 0.05
  num_steps = 3
[]

[Outputs]
  exodus = true
  print_linear_residuals = false
[]

(modules/xfem/test/tests/checkpoint/checkpoint.i)

# This test is for two layer materials with different youngs modulus
# The global stress is determined by switching the stress based on level set values
# The material interface is marked by a level set function
# The two layer materials are glued together

[GlobalParams]
  order = FIRST
  family = LAGRANGE
  displacements = 'disp_x disp_y'
[]

[XFEM]
  qrule = volfrac
  output_cut_plane = true
[]

[UserObjects]
  [./level_set_cut_uo]
    type = LevelSetCutUserObject
    level_set_var = ls
  [../]
[]

[Mesh]
  displacements = 'disp_x disp_y'
  [gen]
    type = GeneratedMeshGenerator
    dim = 2
    nx = 5
    ny = 5
    xmin = 0.0
    xmax = 5.
    ymin = 0.0
    ymax = 5.
    elem_type = QUAD4
  []
  [./left_bottom]
    type = ExtraNodesetGenerator
    new_boundary = 'left_bottom'
    coord = '0.0 0.0'
    input = gen
  [../]
  [./left_top]
    type = ExtraNodesetGenerator
    new_boundary = 'left_top'
    coord = '0.0 5.'
    input = left_bottom
  [../]
[]

[AuxVariables]
  [./ls]
    order = FIRST
    family = LAGRANGE
  [../]
[]

[AuxKernels]
  [./ls_function]
    type = FunctionAux
    variable = ls
    function = ls_func
  [../]
[]

[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
[]

[Functions]
  [./ls_func]
    type = ParsedFunction
    expression = 'y-2.5'
  [../]
[]

[AuxVariables]
  [./stress_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./a_strain_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./a_strain_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./a_strain_xy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./b_strain_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./b_strain_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./b_strain_xy]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]

[Kernels]
  [./TensorMechanics]
  [../]
[]

[AuxKernels]
  [./stress_xx]
    type = RankTwoAux
    rank_two_tensor = stress
    index_i = 0
    index_j = 0
    variable = stress_xx
  [../]
  [./stress_yy]
    type = RankTwoAux
    rank_two_tensor = stress
    index_i = 1
    index_j = 1
    variable = stress_yy
  [../]
  [./stress_xy]
    type = RankTwoAux
    rank_two_tensor = stress
    index_i = 0
    index_j = 1
    variable = stress_xy
  [../]
  [./a_strain_xx]
    type = RankTwoAux
    rank_two_tensor = A_total_strain
    index_i = 0
    index_j = 0
    variable = a_strain_xx
  [../]
  [./a_strain_yy]
    type = RankTwoAux
    rank_two_tensor = A_total_strain
    index_i = 1
    index_j = 1
    variable = a_strain_yy
  [../]
  [./a_strain_xy]
    type = RankTwoAux
    rank_two_tensor = A_total_strain
    index_i = 0
    index_j = 1
    variable = a_strain_xy
  [../]
  [./b_strain_xx]
    type = RankTwoAux
    rank_two_tensor = B_total_strain
    index_i = 0
    index_j = 0
    variable = b_strain_xx
  [../]
  [./b_strain_yy]
    type = RankTwoAux
    rank_two_tensor = B_total_strain
    index_i = 1
    index_j = 1
    variable = b_strain_yy
  [../]
  [./b_strain_xy]
    type = RankTwoAux
    rank_two_tensor = B_total_strain
    index_i = 0
    index_j = 1
    variable = b_strain_xy
  [../]
[]

[Constraints]
  [./dispx_constraint]
    type = XFEMSingleVariableConstraint
    use_displaced_mesh = false
    variable = disp_x
    alpha = 1e8
    geometric_cut_userobject = 'level_set_cut_uo'
  [../]
  [./dispy_constraint]
    type = XFEMSingleVariableConstraint
    use_displaced_mesh = false
    variable = disp_y
    alpha = 1e8
    geometric_cut_userobject = 'level_set_cut_uo'
  [../]
[]

[BCs]
  [./bottomx]
    type = DirichletBC
    boundary = bottom
    variable = disp_x
    value = 0.0
  [../]
  [./bottomy]
    type = DirichletBC
    boundary = bottom
    variable = disp_y
    value = 0.0
  [../]
  [./topx]
    type = FunctionDirichletBC
    boundary = top
    variable = disp_x
    function = 0.03*t
  [../]
  [./topy]
    type = FunctionDirichletBC
    boundary = top
    variable = disp_y
    function = '0.03*t'
  [../]
[]

[Materials]
  [./elasticity_tensor_A]
    type = ComputeIsotropicElasticityTensor
    base_name = A
    youngs_modulus = 1e9
    poissons_ratio = 0.3
  [../]
  [./strain_A]
    type = ComputeSmallStrain
    base_name = A
  [../]
  [./stress_A]
    type = ComputeLinearElasticStress
    base_name = A
  [../]
  [./elasticity_tensor_B]
    type = ComputeIsotropicElasticityTensor
    base_name = B
    youngs_modulus = 1e5
    poissons_ratio = 0.3
  [../]
  [./strain_B]
    type = ComputeSmallStrain
    base_name = B
  [../]
  [./stress_B]
    type = ComputeLinearElasticStress
    base_name = B
  [../]
  [./combined_stress]
    type = LevelSetBiMaterialRankTwo
    levelset_positive_base = 'A'
    levelset_negative_base = 'B'
    level_set_var = ls
    prop_name = stress
  [../]
  [./combined_dstressdstrain]
    type = LevelSetBiMaterialRankFour
    levelset_positive_base = 'A'
    levelset_negative_base = 'B'
    level_set_var = ls
    prop_name = Jacobian_mult
  [../]
[]

[Executioner]
  type = Transient

  solve_type = 'PJFNK'
  petsc_options_iname = '-ksp_gmres_restart -pc_type -pc_hypre_type -pc_hypre_boomeramg_max_iter'
  petsc_options_value = '201                hypre    boomeramg      8'

  line_search = 'bt'

# controls for linear iterations
  l_max_its = 20
  l_tol = 1e-3

# controls for nonlinear iterations
  nl_max_its = 15
  nl_rel_tol = 1e-14
  nl_abs_tol = 1e-7

# time control
  start_time = 0.0
  dt = 0.1
  num_steps = 2

  max_xfem_update = 1
[]

[Outputs]
  checkpoint = true
  exodus = true
  execute_on = timestep_end
  csv = true
  [./console]
    type = Console
    output_linear = true
  [../]
[]

(modules/combined/test/tests/thermal_elastic/thermal_elastic.i)

# Patch Test

# This test is designed to compute constant xx, yy, zz, xy, yz, and xz
#  stress on a set of irregular hexes.  The mesh is composed of one
#  block with seven elements.  The elements form a unit cube with one
#  internal element.  There is a nodeset for each exterior node.

# The cube is displaced by 1e-6 units in x, 2e-6 in y, and 3e-6 in z.
#  The faces are sheared as well (1e-6, 2e-6, and 3e-6 for xy, yz, and
#  zx).  This gives a uniform strain/stress state for all six unique
#  tensor components.  This displacement is again applied in the second
#  step.

# With Young's modulus at 1e6 and Poisson's ratio at 0, the shear
#  modulus is 5e5 (G=E/2/(1+nu)).  Therefore, for the mechanical strain,
#
#  stress xx = 1e6 * 1e-6 = 1
#  stress yy = 1e6 * 2e-6 = 2
#  stress zz = 1e6 * 3e-6 = 3
#  stress xy = 2 * 5e5 * 1e-6 / 2 = 0.5
#             (2 * G   * gamma_xy / 2 = 2 * G * epsilon_xy)
#  stress yz = 2 * 5e5 * 2e-6 / 2 = 1
#  stress zx = 2 * 5e5 * 3e-6 / 2 = 1.5

# Young's modulus is a function of temperature for this test.  The
#  temperature changes from 100 to 500.  The Young's modulus drops
#  due to that temperature change from 1e6 to 6e5.

# Poisson's ratio also is a function of temperature and changes from
#  0 to 0.25.

# At the end of the temperature ramp, E=6e5 and nu=0.25.  This gives
#  G=2.4e=5.  lambda=E*nu/(1+nu)/(1-2*nu)=2.4E5.  The final stress
#  is therefore

#  stress xx = 2.4e5 * 12e-6 + 2*2.4e5*2e-6 = 3.84
#  stress yy = 2.4e5 * 12e-6 + 2*2.4e5*4e-6 = 4.80
#  stress zz = 2.4e5 * 12e-6 + 2*2.4e5*6e-6 = 5.76
#  stress xy = 2 * 2.4e5 * 2e-6 / 2 = 0.48
#             (2 * G   * gamma_xy / 2 = 2 * G * epsilon_xy)
#  stress yz = 2 * 2.4e5 * 4e-6 / 2 = 0.96
#  stress xz = 2 * 2.4e5 * 6e-6 / 2 = 1.44

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]

[Mesh]
  file = thermal_elastic.e
[]

[Functions]
  [./ramp1]
    type = PiecewiseLinear
    x = '0. 1. 2.'
    y = '0. 1. 2.'
    scale_factor = 1e-6
  [../]
  [./ramp2]
    type = PiecewiseLinear
    x = '0. 1. 2.'
    y = '0. 1. 2.'
    scale_factor = 2e-6
  [../]
  [./ramp3]
    type = PiecewiseLinear
    x = '0. 1. 2.'
    y = '0. 1. 2.'
    scale_factor = 3e-6
  [../]
  [./ramp4]
    type = PiecewiseLinear
    x = '0. 1. 2.'
    y = '0. 1. 2.'
    scale_factor = 4e-6
  [../]
  [./ramp6]
    type = PiecewiseLinear
    x = '0. 1. 2.'
    y = '0. 1. 2.'
    scale_factor = 6e-6
  [../]
  [./tempFunc]
    type = PiecewiseLinear
    x = '0     1     2'
    y = '100.0 100.0 500.0'
  [../]
[]

[Variables]
  [./temp]
    initial_condition = 100.0
  [../]
[]

[Physics/SolidMechanics/QuasiStatic]
  [./all]
    add_variables = true
    generate_output = 'stress_xx stress_yy stress_zz stress_xy stress_xz stress_yz'
    strain = FINITE
  [../]
[]

[Kernels]
  [./heat]
    type = Diffusion
    variable = temp
  [../]
[]

[BCs]
  [./node1_x]
    type = DirichletBC
    variable = disp_x
    boundary = 1
    value = 0.0
  [../]
  [./node1_y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 1
    function = ramp2
  [../]
  [./node1_z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 1
    function = ramp3
  [../]

  [./node2_x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 2
    function = ramp1
  [../]
  [./node2_y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 2
    function = ramp2
  [../]
  [./node2_z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 2
    function = ramp6
  [../]

  [./node3_x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 3
    function = ramp1
  [../]
  [./node3_y]
    type = DirichletBC
    variable = disp_y
    boundary = 3
    value = 0.0
  [../]
  [./node3_z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 3
    function = ramp3
  [../]

  [./node4_x]
    type = DirichletBC
    variable = disp_x
    boundary = 4
    value = 0.0
  [../]
  [./node4_y]
    type = DirichletBC
    variable = disp_y
    boundary = 4
    value = 0.0
  [../]
  [./node4_z]
    type = DirichletBC
    variable = disp_z
    boundary = 4
    value = 0.0
  [../]

  [./node5_x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 5
    function = ramp1
  [../]
  [./node5_y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 5
    function = ramp4
  [../]
  [./node5_z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 5
    function = ramp3
  [../]

  [./node6_x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 6
    function = ramp2
  [../]
  [./node6_y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 6
    function = ramp4
  [../]
  [./node6_z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 6
    function = ramp6
  [../]

  [./node7_x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 7
    function = ramp2
  [../]
  [./node7_y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 7
    function = ramp2
  [../]
  [./node7_z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 7
    function = ramp3
  [../]

  [./node8_x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 8
    function = ramp1
  [../]
  [./node8_y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 8
    function = ramp2
  [../]
  [./node8_z]
    type = DirichletBC
    variable = disp_z
    boundary = 8
    value = 0.0
  [../]

  [./temp]
    type = FunctionDirichletBC
    variable = temp
    boundary = '10 12'
    function = tempFunc
  [../]
[]

[Materials]
  [./youngs_modulus]
    type = PiecewiseLinearInterpolationMaterial
    x = '100 500'
    y = '1e6 6e5'
    property = youngs_modulus
    variable = temp
  [../]
  [./poissons_ratio]
    type = PiecewiseLinearInterpolationMaterial
    x = '100 500'
    y = '0   0.25'
    property = poissons_ratio
    variable = temp
  [../]

  [./elasticity_tensor]
    type = ComputeVariableIsotropicElasticityTensor
    args = temp
    youngs_modulus = youngs_modulus
    poissons_ratio = poissons_ratio
  [../]

  [./stress]
    type = ComputeFiniteStrainElasticStress
  [../]
[]

[Executioner]
  type = Transient
  solve_type = 'PJFNK'

  nl_rel_tol = 1e-9
  nl_abs_tol = 1e-9

  l_max_its = 20

  start_time = 0.0
  dt = 1.0
  end_time = 2.0
[]

[Outputs]
  exodus = true
[]

(modules/combined/test/tests/thermo_mech/youngs_modulus_function_temp.i)

# ---------------------------------------------------------------------------
# This test is designed to verify the variable elasticity tensor functionality in the
# ComputeFiniteStrainElasticStress class with the elasticity_tensor_has_changed flag
# by varying the young's modulus with temperature. A constant strain is applied
# to the mesh in this case, and the stress varies with the changing elastic constants.
#
# Geometry: A single element cube in symmetry boundary conditions and pulled
#           at a constant displacement to create a constant strain in the x-direction.
#
# Temperature:  The temperature varies from 400K to 700K in this simulation by
#           100K each time step. The temperature is held constant in the last
#           timestep to ensure that the elasticity tensor components are constant
#           under constant temperature.
#
# Results: Because Poisson's ratio is set to zero, only the stress along the x
#          axis is non-zero.  The stress changes with temperature.
#
#    Temperature(K)   strain_{xx}(m/m)     Young's Modulus(Pa)   stress_{xx}(Pa)
#          400              0.001             10.0e6               1.0e4
#          500              0.001             10.0e6               1.0e4
#          600              0.001              9.94e6              9.94e3
#          700              0.001              9.93e6              9.93e3
#
#    The tensor mechanics results align exactly with the analytical results above
#    when this test is run with ComputeIncrementalStrain.  When the test is
#    run with ComputeFiniteStrain, a 0.05% discrepancy between the analytical
#    strains and the simulation strain results is observed, and this discrepancy
#    is carried over into the calculation of the elastic stress.
#-------------------------------------------------------------------------

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]

[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
[]

[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
  [./temp]
    initial_condition = 400
  [../]
[]

[AuxVariables]
  [./stress_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./elastic_strain_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]

[Functions]
  [./temperature_function]
    type = PiecewiseLinear
    x = '1       4'
    y = '400   700'
  [../]
[]

[Kernels]
  [./heat]
    type = Diffusion
    variable = temp
  [../]

  [./TensorMechanics]
    use_displaced_mesh = true
  [../]
[]


[AuxKernels]
  [./stress_xx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xx
    index_i = 0
    index_j = 0
  [../]

 [./elastic_strain_xx]
    type = RankTwoAux
    rank_two_tensor = elastic_strain
    variable = elastic_strain_xx
    index_i = 0
    index_j = 0
    execute_on = timestep_end
  [../]
[]

[BCs]
  [./u_left_fix]
    type = DirichletBC
    variable = disp_x
    boundary = left
    value = 0.0
  [../]
  [./u_bottom_fix]
    type = DirichletBC
    variable = disp_y
    boundary = bottom
    value = 0.0
  [../]
  [./u_back_fix]
    type = DirichletBC
    variable = disp_z
    boundary = back
    value = 0.0
  [../]
  [./u_pull_right]
    type = DirichletBC
    variable = disp_x
    boundary = right
    value = 0.001
  [../]

  [./temp_bc_1]
    type = FunctionDirichletBC
    variable = temp
    preset = false
    boundary = '1 2 3 4'
    function = temperature_function
  [../]
[]

[Materials]
  [./youngs_modulus]
    type = PiecewiseLinearInterpolationMaterial
    xy_data = '0          10e+6
               599.9999   10e+6
               600        9.94e+6
               99900      10e3'
    property = youngs_modulus
    variable = temp
  [../]
  [./elasticity_tensor]
    type = ComputeVariableIsotropicElasticityTensor
    args = temp
    youngs_modulus = youngs_modulus
    poissons_ratio = 0.0
  [../]
  [./strain]
    type = ComputeIncrementalStrain
  [../]
  [./stress]
    type = ComputeFiniteStrainElasticStress
  [../]
[]

[Executioner]
  type = Transient

  end_time = 5
[]

[Postprocessors]
  [./elastic_strain_xx]
    type = ElementAverageValue
    variable = elastic_strain_xx
  [../]
  [./elastic_stress_xx]
    type = ElementAverageValue
    variable = stress_xx
  [../]

  [./temp]
    type = AverageNodalVariableValue
    variable = temp
  [../]
[]

[Outputs]
  exodus = true
[]

(modules/solid_mechanics/test/tests/neml2/plasticity/kinharden.i)

N = 2

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]

[Mesh]
  [gmg]
    type = GeneratedMeshGenerator
    dim = 3
    nx = ${N}
    ny = ${N}
    nz = ${N}
  []
[]

[Physics]
  [SolidMechanics]
    [QuasiStatic]
      [all]
        strain = SMALL
        new_system = true
        add_variables = true
        formulation = TOTAL
        volumetric_locking_correction = true
      []
    []
  []
[]

[NEML2]
  input = 'kinharden_neml2.i'
  [all]
    model = 'model'
    verbose = true
    device = 'cpu'

    moose_input_types = 'MATERIAL     POSTPROCESSOR POSTPROCESSOR MATERIAL              MATERIAL'
    moose_inputs = '     neml2_strain time          time          plastic_strain        kinematic_plastic_strain'
    neml2_inputs = '     forces/E     forces/t      old_forces/t  old_state/internal/Ep old_state/internal/Kp'

    moose_output_types = 'MATERIAL     MATERIAL          MATERIAL'
    moose_outputs = '     neml2_stress plastic_strain    kinematic_plastic_strain'
    neml2_outputs = '     state/S      state/internal/Ep state/internal/Kp'

    moose_derivative_types = 'MATERIAL'
    moose_derivatives = 'neml2_jacobian'
    neml2_derivatives = 'state/S forces/E'
  []
[]

[Postprocessors]
  [time]
    type = TimePostprocessor
    execute_on = 'INITIAL TIMESTEP_BEGIN'
  []
[]

[Materials]
  [convert_strain]
    type = RankTwoTensorToSymmetricRankTwoTensor
    from = 'mechanical_strain'
    to = 'neml2_strain'
  []
  [stress]
    type = ComputeLagrangianObjectiveCustomSymmetricStress
    custom_small_stress = 'neml2_stress'
    custom_small_jacobian = 'neml2_jacobian'
  []
[]

[BCs]
  [xfix]
    type = DirichletBC
    variable = disp_x
    boundary = left
    value = 0
  []
  [yfix]
    type = DirichletBC
    variable = disp_y
    boundary = bottom
    value = 0
  []
  [zfix]
    type = DirichletBC
    variable = disp_z
    boundary = back
    value = 0
  []
  [xdisp]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = right
    function = t
    preset = false
  []
[]

[Executioner]
  type = Transient
  solve_type = NEWTON
  petsc_options_iname = '-pc_type'
  petsc_options_value = 'lu'
  automatic_scaling = true
  dt = 1e-3
  dtmin = 1e-3
  num_steps = 5
  residual_and_jacobian_together = true
[]

[Outputs]
  exodus = true
[]

(modules/solid_mechanics/test/tests/uel/test.i)

[Mesh]
  [gen]
    type = GeneratedMeshGenerator
    dim = 2
    nx = 20
    ny = 10
    xmax = 10
    ymax = 3
    elem_type = TRI3
  []
[]

[Variables]
  [disp_x]
  []
  [disp_y]
  []
[]

[BCs]
  [left_x]
    type = DirichletBC
    variable = disp_x
    boundary = left
    value = 0
  []
  [left_y]
    type = DirichletBC
    variable = disp_y
    boundary = left
    value = 0
  []

  inactive = 'right_dirichlet'
  [right_neumann]
    type = FunctionNeumannBC
    variable = disp_x
    function = t
    boundary = right
  []
  [right_dirichlet]
    type = FunctionDirichletBC
    variable = disp_x
    function = t/10
    boundary = right
  []
[]

[UserObjects]
  [uel]
    type = AbaqusUserElement
    variables = 'disp_x disp_y'
    plugin = ../../plugins/elastic_uel_tri
    use_displaced_mesh = false
    num_state_vars = 8
    constant_properties = '100 0.3' # E nu
  []
[]

[Problem]
  kernel_coverage_check = false
[]

[Executioner]
  type = Transient
  dt = 1
  num_steps = 15
[]

[Postprocessors]
  [delta_l]
    type = SideAverageValue
    variable = disp_x
    boundary = right
  []
  [V]
    type = ElementIntegralMaterialProperty
    mat_prop = 1
  []
[]

[Outputs]
  exodus = true
  csv = true
  print_linear_residuals = false
[]

(modules/navier_stokes/test/tests/finite_element/ins/RZ_cone/rz_cone_no_parts_steady_stabilized.i)

# This input file tests several different things:
# .) The axisymmetric (RZ) form of the governing equations.
# .) An open boundary.
# .) Not integrating the pressure by parts, thereby requiring a pressure pin.
# .) Natural boundary condition at the outlet.
[GlobalParams]
  integrate_p_by_parts = false
  laplace = true
  gravity = '0 0 0'
  supg = true
  pspg = true
  order = FIRST
[]

[Mesh]
  file = '2d_cone.msh'
[]

[Problem]
  coord_type = RZ
[]

[Preconditioning]
  [./SMP_PJFNK]
    type = SMP
    full = true
    solve_type = Newton
  [../]
[]

[Executioner]
  type = Steady

  petsc_options_iname = '-pc_type -sub_pc_type -sub_pc_factor_levels'
  petsc_options_value = 'bjacobi  ilu          4'

  nl_rel_tol = 1e-12
  nl_max_its = 6
[]

[Outputs]
  console = true
  [./out]
    type = Exodus
  [../]
[]

[Variables]
  [./vel_x]
    # Velocity in radial (r) direction
  [../]
  [./vel_y]
    # Velocity in axial (z) direction
  [../]
  [./p]
  [../]
[]

[BCs]
  [./p_corner]
    # This is required, because pressure term is *not* integrated by parts.
    type = DirichletBC
    boundary = top_right
    value = 0
    variable = p
  [../]
  [./u_in]
    type = DirichletBC
    boundary = bottom
    variable = vel_x
    value = 0
  [../]
  [./v_in]
    type = FunctionDirichletBC
    boundary = bottom
    variable = vel_y
    function = 'inlet_func'
  [../]
  [./u_axis_and_walls]
    type = DirichletBC
    boundary = 'left right'
    variable = vel_x
    value = 0
  [../]
  [./v_no_slip]
    type = DirichletBC
    boundary = 'right'
    variable = vel_y
    value = 0
  [../]
[]


[Kernels]
  [./mass]
    type = INSMassRZ
    variable = p
    u = vel_x
    v = vel_y
    pressure = p
  [../]
  [./x_momentum_space]
    type = INSMomentumLaplaceFormRZ
    variable = vel_x
    u = vel_x
    v = vel_y
    pressure = p
    component = 0
  [../]
  [./y_momentum_space]
    type = INSMomentumLaplaceFormRZ
    variable = vel_y
    u = vel_x
    v = vel_y
    pressure = p
    component = 1
  [../]
[]

[Materials]
  [./const]
    type = GenericConstantMaterial
    block = 'volume'
    prop_names = 'rho mu'
    prop_values = '1  1'
  [../]
[]

[Functions]
  [./inlet_func]
    type = ParsedFunction
    expression = '-4 * x^2 + 1'
  [../]
[]

[Postprocessors]
  [./flow_in]
    type = VolumetricFlowRate
    vel_x = vel_x
    vel_y = vel_y
    boundary = 'bottom'
    execute_on = 'timestep_end'
  [../]
  [./flow_out]
    type = VolumetricFlowRate
    vel_x = vel_x
    vel_y = vel_y
    boundary = 'top'
    execute_on = 'timestep_end'
  [../]
[]

(test/tests/time_integrators/actually_explicit_euler_verification/ee-2d-linear-adapt.i)

[Mesh]
  type = GeneratedMesh
  dim = 2
  xmin = -1
  xmax = 1
  ymin = -1
  ymax = 1
  nx = 10
  ny = 10
  elem_type = QUAD4
[]

[Functions]
  [./ic]
    type = ParsedFunction
    expression = 0
  [../]

  [./forcing_fn]
    type = ParsedFunction
    expression = (x+y)
  [../]

  [./exact_fn]
    type = ParsedFunction
    expression = t*(x+y)
  [../]
[]

[Variables]
  [./u]
    order = FIRST
    family = LAGRANGE

    [./InitialCondition]
      type = FunctionIC
      function = ic
    [../]
  [../]
[]

[Kernels]
  [./ie]
    type = TimeDerivative
    variable = u
  [../]

  [./diff]
    type = Diffusion
    variable = u
  [../]

  [./ffn]
    type = BodyForce
    variable = u
    function = forcing_fn
  [../]
[]

[BCs]
  [./all]
    type = FunctionDirichletBC
    variable = u
    preset = false
    boundary = '0 1 2 3'
    function = exact_fn
  [../]
[]

[Adaptivity]
  steps = 1
  marker = box
  max_h_level = 2
  [./Markers]
    [./box]
      bottom_left = '-0.4 -0.4 0'
      inside = refine
      top_right = '0.4 0.4 0'
      outside = do_nothing
      type = BoxMarker
    [../]
  [../]
[]

[Postprocessors]
  [./l2_err]
    type = ElementL2Error
    variable = u
    function = exact_fn
  [../]
[]

[Executioner]
  type = Transient

  start_time = 0.0
  num_steps = 4
  dt = 0.005
  l_tol = 1e-12

  [./TimeIntegrator]
    type = ActuallyExplicitEuler
  [../]
[]

[Outputs]
  exodus = true
  [./console]
    type = Console
    max_rows = 10
  [../]
[]

(modules/solid_mechanics/test/tests/capped_mohr_coulomb/small_deform18.i)

# Using CappedMohrCoulomb with compressive failure only
# A single unit element is stretched by -1E-6m in z direction.
# with Lame lambda = 0.6E6 and Lame mu (shear) = 1E6
# stress_zz = -2.6 Pa
# stress_xx = -0.6 Pa
# stress_yy = -0.6 Pa
# compressive_strength is set to 0.5Pa
#
# stress_zz = -0.5
# plastic multiplier = 2.1/2.6 E-6
# stress_xx = -0.6 - (2.1/2.6*-0.6) = -0.115
[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]


[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]

[Physics/SolidMechanics/QuasiStatic]
  [./all]
    add_variables = true
    incremental = true
    generate_output = 'max_principal_stress mid_principal_stress min_principal_stress stress_xx stress_xy stress_xz stress_yy stress_yz stress_zz'
  [../]
[]

[BCs]
  [./x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'front back'
    function = '0E-6*x'
  [../]
  [./y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'front back'
    function = '0E-6*y'
  [../]
  [./z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'front back'
    function = '-1.0E-6*z'
  [../]
[]

[AuxVariables]
  [./f0]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f1]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f2]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./iter]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./intnl]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]

[AuxKernels]
  [./f0_auxk]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 0
    variable = f0
  [../]
  [./f1_auxk]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 1
    variable = f1
  [../]
  [./f2_auxk]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 2
    variable = f2
  [../]
  [./iter]
    type = MaterialRealAux
    property = plastic_NR_iterations
    variable = iter
  [../]
  [./intnl_auxk]
    type = MaterialStdVectorAux
    property = plastic_internal_parameter
    index = 0
    variable = intnl
  [../]
[]

[Postprocessors]
  [./s_I]
    type = PointValue
    point = '0 0 0'
    variable = max_principal_stress
  [../]
  [./s_II]
    type = PointValue
    point = '0 0 0'
    variable = mid_principal_stress
  [../]
  [./s_III]
    type = PointValue
    point = '0 0 0'
    variable = min_principal_stress
  [../]
  [./s_xx]
    type = PointValue
    point = '0 0 0'
    variable = stress_xx
  [../]
  [./s_xy]
    type = PointValue
    point = '0 0 0'
    variable = stress_xy
  [../]
  [./s_xz]
    type = PointValue
    point = '0 0 0'
    variable = stress_xz
  [../]
  [./s_yy]
    type = PointValue
    point = '0 0 0'
    variable = stress_yy
  [../]
  [./s_yz]
    type = PointValue
    point = '0 0 0'
    variable = stress_yz
  [../]
  [./s_zz]
    type = PointValue
    point = '0 0 0'
    variable = stress_zz
  [../]
  [./f0]
    type = PointValue
    point = '0 0 0'
    variable = f0
  [../]
  [./f1]
    type = PointValue
    point = '0 0 0'
    variable = f1
  [../]
  [./f2]
    type = PointValue
    point = '0 0 0'
    variable = f2
  [../]
  [./iter]
    type = PointValue
    point = '0 0 0'
    variable = iter
  [../]
  [./intnl]
    type = PointValue
    point = '0 0 0'
    variable = intnl
  [../]
[]

[UserObjects]
  [./ts]
    type = SolidMechanicsHardeningConstant
    value = 1E6
  [../]
  [./cs]
    type = SolidMechanicsHardeningConstant
    value = 0.5
  [../]
  [./coh]
    type = SolidMechanicsHardeningConstant
    value = 1E6
  [../]
  [./ang]
    type = SolidMechanicsHardeningConstant
    value = 0.5
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    fill_method = symmetric_isotropic
    C_ijkl = '0.6E6 1E6'
  [../]
  [./tensile]
    type = CappedMohrCoulombStressUpdate
    tensile_strength = ts
    compressive_strength = cs
    cohesion = coh
    friction_angle = ang
    dilation_angle = ang
    smoothing_tol = 0.0
    yield_function_tol = 1.0E-12
  [../]
  [./stress]
    type = ComputeMultipleInelasticStress
    inelastic_models = tensile
    perform_finite_strain_rotations = false
  [../]
[]


[Executioner]
  end_time = 1
  dt = 1
  type = Transient
[]


[Outputs]
  file_base = small_deform18
  csv = true
[]

(modules/xfem/test/tests/pressure_bc/2d_pressure_displaced_mesh.i)

[GlobalParams]
  order = FIRST
  family = LAGRANGE
  displacements = 'disp_x disp_y'
  volumetric_locking_correction = false
[]

[XFEM]
  qrule = volfrac
  output_cut_plane = true
[]

[Mesh]
  type = GeneratedMesh
  dim = 2
  nx = 4
  ny = 5
  xmin = 0.0
  xmax = 1.0
  ymin = 0.0
  ymax = 1.0
  elem_type = QUAD4
[]

[UserObjects]
  [./line_seg_cut_uo]
    type = LineSegmentCutUserObject
    cut_data = '0.0 0.5 1.0 0.5'
  [../]
[]

[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
[]

[Physics/SolidMechanics/QuasiStatic]
  [./all]
    strain = FINITE
    add_variables = true
    planar_formulation = PLANE_STRAIN
    generate_output = 'stress_xx stress_yy'
  [../]
[]

[Functions]
  [./pressure]
    type = PiecewiseLinear
    x = '0 1.0'
    y = '500 500'
  [../]
  [./bc_func_tx]
    type = ParsedFunction
    expression = '0.5-(0.5-x)*cos(pi*t/2.0)-x'
  [../]
  [./bc_func_ty]
    type = ParsedFunction
    expression = '(0.5-x)*sin(pi*t/2.0)+0.5'
  [../]
[]

[BCs]
  [./bottom_y]
    type = DirichletBC
    boundary = 0
    preset = false
    variable = disp_y
    value = 0.0
  [../]
  [./bottom_x]
    type = DirichletBC
    boundary = 0
    preset = false
    variable = disp_x
    value = 0.0
  [../]
  [./top_right_y]
    type = FunctionDirichletBC
    boundary = 2
    preset = false
    variable = disp_y
    function = bc_func_ty
  [../]
  [./top_right_x]
    type = FunctionDirichletBC
    boundary = 2
    preset = false
    variable = disp_x
    function = bc_func_tx
  [../]
[]

[DiracKernels]
  [./pressure_x]
    type = XFEMPressure
    variable = disp_x
    component = 0
    function = pressure
    use_displaced_mesh = true
  [../]
  [./pressure_y]
    type = XFEMPressure
    variable = disp_y
    component = 1
    function = pressure
    use_displaced_mesh = true
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeIsotropicElasticityTensor
    youngs_modulus = 1e6
    poissons_ratio = 0.3
  [../]
  [./stress]
    type = ComputeFiniteStrainElasticStress
  [../]
[]

[Executioner]
  type = Transient

  solve_type = 'PJFNK'
  petsc_options_iname = '-ksp_gmres_restart -pc_type -pc_hypre_type -pc_hypre_boomeramg_max_iter'
  petsc_options_value = '201                hypre    boomeramg      8'

  line_search = 'none'

  [./Predictor]
    type = SimplePredictor
    scale = 1.0
  [../]

# controls for linear iterations
  l_max_its = 100
  l_tol = 1e-2

# controls for nonlinear iterations
  nl_max_its = 15
  nl_rel_tol = 1e-10
  nl_abs_tol = 1e-14

# time control
  start_time = 0.0
  dt = 0.1
  end_time = 1.0
[]

[Outputs]
  file_base = 2d_pressure_displaced_mesh_out
  exodus = true
  [./console]
    type = Console
    output_linear = true
  [../]
[]

(modules/solid_mechanics/test/tests/mohr_coulomb/small_deform6.i)

# apply repeated stretches in z direction, and smaller stretches in the x and y directions
# so that sigma_II = sigma_III,
# which means that lode angle = -30deg.
# The allows yield surface in meridional plane to be mapped out
# Using cap smoothing

[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]


[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
[]

[Kernels]
  [SolidMechanics]
    displacements = 'disp_x disp_y disp_z'
  [../]
[]


[BCs]
  [./x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'front back'
    function = '0.9E-6*x*sin(t)'
  [../]
  [./y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'front back'
    function = '0.9E-6*y*sin(t)'
  [../]
  [./z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'front back'
    function = '1E-6*z*t'
  [../]
[]

[AuxVariables]
  [./stress_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./mc_int]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./yield_fcn]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./iter]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]

[AuxKernels]
  [./stress_xx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xx
    index_i = 0
    index_j = 0
  [../]
  [./stress_xy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xy
    index_i = 0
    index_j = 1
  [../]
  [./stress_xz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xz
    index_i = 0
    index_j = 2
  [../]
  [./stress_yy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yy
    index_i = 1
    index_j = 1
  [../]
  [./stress_yz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yz
    index_i = 1
    index_j = 2
  [../]
  [./stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zz
    index_i = 2
    index_j = 2
  [../]
  [./mc_int_auxk]
    type = MaterialStdVectorAux
    index = 0
    property = plastic_internal_parameter
    variable = mc_int
  [../]
  [./yield_fcn_auxk]
    type = MaterialStdVectorAux
    index = 0
    property = plastic_yield_function
    variable = yield_fcn
  [../]
  [./iter_auxk]
    type = MaterialRealAux
    property = plastic_NR_iterations
    variable = iter
  [../]
[]

[Postprocessors]
  [./s_xx]
    type = PointValue
    point = '0 0 0'
    variable = stress_xx
  [../]
  [./s_xy]
    type = PointValue
    point = '0 0 0'
    variable = stress_xy
  [../]
  [./s_xz]
    type = PointValue
    point = '0 0 0'
    variable = stress_xz
  [../]
  [./s_yy]
    type = PointValue
    point = '0 0 0'
    variable = stress_yy
  [../]
  [./s_yz]
    type = PointValue
    point = '0 0 0'
    variable = stress_yz
  [../]
  [./s_zz]
    type = PointValue
    point = '0 0 0'
    variable = stress_zz
  [../]
  [./internal]
    type = PointValue
    point = '0 0 0'
    variable = mc_int
  [../]
  [./f]
    type = PointValue
    point = '0 0 0'
    variable = yield_fcn
  [../]
  [./iter]
    type = PointValue
    point = '0 0 0'
    variable = iter
  [../]
[]

[UserObjects]
  [./mc_coh]
    type = SolidMechanicsHardeningConstant
    value = 10
  [../]
  [./mc_phi]
    type = SolidMechanicsHardeningConstant
    value = 50
    convert_to_radians = true
  [../]
  [./mc_psi]
    type = SolidMechanicsHardeningExponential
    value_0 = 0
    value_residual = 0.8726646 # 50deg
    rate = 3000.0
  [../]
  [./mc]
    type = SolidMechanicsPlasticMohrCoulomb
    cohesion = mc_coh
    friction_angle = mc_phi
    dilation_angle = mc_psi
    tip_scheme = cap
    mc_tip_smoother = 0
    cap_start = 3
    cap_rate = 0.8
    mc_edge_smoother = 20
    yield_function_tolerance = 1E-8
    internal_constraint_tolerance = 1E-9
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    block = 0
    fill_method = symmetric_isotropic
    C_ijkl = '0 1E7'
  [../]
  [./strain]
    type = ComputeFiniteStrain
    block = 0
    displacements = 'disp_x disp_y disp_z'
  [../]
  [./mc]
    type = ComputeMultiPlasticityStress
    block = 0
    ep_plastic_tolerance = 1E-9
    plastic_models = mc
    debug_fspb = crash
  [../]
[]


[Executioner]
  end_time = 30
  dt = 1
  type = Transient
[]


[Outputs]
  file_base = small_deform6
  exodus = false
  [./csv]
    type = CSV
    [../]
[]

(modules/solid_mechanics/test/tests/torque_reaction/torque_reaction.i)

# Scalar torque reaction

# This test computes the sum of the torques acting on a ten element 2D bar mesh
# and is intended to replicate the classical wrench problem from statics.
# A displacement in the y along the right face is applied to the bar end to create
# a shear force along the bar end. The rotation origin default (the global origin)
# and the axis of rotation direction vector used to compute the torque reaction
# is set to (0, 0, 1) out of the plane.
# Torque is calculated for the two nodes on the left of the bar. For the bottom
# node on the right, the torque/ moment lever is the x coordinate value, and for
# the top node on the right the torque lever is the hypotenuse of the x and y
# coordinates.  The expected sum of the torque reaction is just over 37.

[GlobalParams]
  order = FIRST
  family = LAGRANGE
  displacements = 'disp_x disp_y'
[]

[Mesh]
  type = GeneratedMesh
  dim = 2
  nx = 10
  ny = 1
[]

[Problem]
  extra_tag_vectors = 'ref'
[]

[AuxVariables]
  [./saved_x]
  [../]
  [./saved_y]
  [../]
[]

[AuxKernels]
  [saved_x]
    type = TagVectorAux
    vector_tag = 'ref'
    v = 'disp_x'
    variable = 'saved_x'
  []
  [saved_y]
    type = TagVectorAux
    vector_tag = 'ref'
    v = 'disp_y'
    variable = 'saved_y'
  []
[]

[Physics/SolidMechanics/QuasiStatic]
  [master]
    strain = SMALL
    generate_output = 'stress_xx stress_yy'
    add_variables = true
    extra_vector_tags = 'ref'
  []
[]

[BCs]
  [./left_x]
    type = DirichletBC
    variable = disp_x
    boundary = left
    value = 0.0
  [../]
  [./left_y]
    type = DirichletBC
    variable = disp_y
    boundary = left
    value = 0.0
  [../]
  [./right_shear_y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = right
    function = '0.001*t'
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeIsotropicElasticityTensor
    youngs_modulus = 207000
    poissons_ratio = 0.3
  [../]
  [./elastic_stress]
    type = ComputeLinearElasticStress
  [../]
[]

[Executioner]
  type = Transient

  line_search = 'none'

  l_max_its = 30
  nl_max_its = 20
  nl_abs_tol = 1e-12
  nl_rel_tol = 1e-10
  l_tol = 1e-8

  start_time = 0.0
  dt = 0.5

  end_time = 1
  num_steps = 2
[]

[Postprocessors]
  [./_dt]
    type = TimestepSize
  [../]
  [./torque]
    type = TorqueReaction
    boundary = right
    reaction_force_variables = 'saved_x saved_y'
    direction_vector = '0. 0. 1.'
  [../]
[]

[Outputs]
  exodus = true
[]

(test/tests/time_integrators/dirk/dirk-2d-heat.i)

#
# Testing a solution that is second order in space and first order in time.
#

[Mesh]
  type = GeneratedMesh
  dim  = 2
  xmin = 0
  xmax = 1
  ymin = 0
  ymax = 1
  nx   = 20
  ny   = 20
  elem_type = QUAD9
[]

[Variables]
  [./u]
    order = SECOND
    family = LAGRANGE

    [./InitialCondition]
      type = FunctionIC
      function = exact_fn
    [../]
  [../]
[]

[Functions]
  [./forcing_fn]
    type = ParsedFunction
    expression = ((x*x)+(y*y))-(4*t)
  [../]

  [./exact_fn]
    type = ParsedFunction
    expression = t*((x*x)+(y*y))
  [../]
[]

[Kernels]
  [./ie]
    type = TimeDerivative
    variable = u
  [../]

  [./diff]
    type = Diffusion
    variable = u
  [../]

  [./ffn]
    type = BodyForce
    variable = u
    function = forcing_fn
  [../]
[]

[BCs]
  [./all]
    type = FunctionDirichletBC
    variable = u
    boundary = '0 1 2 3'
    function = exact_fn
  [../]
[]

[Postprocessors]
  [./l2_err]
    type = ElementL2Error
    variable = u
    function = exact_fn
  [../]
[]

[Executioner]
  type = Transient

  solve_type = 'PJFNK'
  petsc_options_iname = '-pc_type -pc_hypre_type'
  petsc_options_value = 'hypre boomeramg'

  start_time = 0.0
  end_time   = 1.0
  dt         = 1.0
  nl_abs_tol=1e-13
  nl_rel_tol=1e-13

  [./TimeIntegrator]
    type = LStableDirk2
  [../]
[]

[Outputs]
  execute_on = 'timestep_end'
  exodus         = true
[]

(modules/combined/tutorials/introduction/thermal_mechanical_contact/thermomech_cont_step02.i)

#
# Three shell thermo mechanical contact
# https://mooseframework.inl.gov/modules/combined/tutorials/introduction/step02.html
#

[GlobalParams]
  displacements = 'disp_x disp_y'
  block = '0 1 2'
[]

[Problem]
  # switch to an axisymmetric coordinate system
  coord_type = RZ
[]

[Mesh]
  # inner cylinder
  [inner]
    type = GeneratedMeshGenerator
    dim = 2
    nx = 10
    ny = 40
    xmax = 1
    ymin = -1.75
    ymax = 1.75
    boundary_name_prefix = inner
  []

  # middle shell with subdomain ID 1
  [middle_elements]
    type = GeneratedMeshGenerator
    dim = 2
    nx = 10
    ny = 40
    xmin = 1.1
    xmax = 2.1
    ymin = -2.5
    ymax = 2.5
    boundary_name_prefix = middle
    boundary_id_offset = 4
  []
  [middle]
    type = SubdomainIDGenerator
    input = middle_elements
    subdomain_id = 1
  []

  # outer shell with subdomain ID 2
  [outer_elements]
    type = GeneratedMeshGenerator
    dim = 2
    nx = 10
    ny = 48
    xmin = 2.2
    xmax = 3.2
    ymin = -3
    ymax = 3
    boundary_name_prefix = outer
    boundary_id_offset = 8
  []
  [outer]
    type = SubdomainIDGenerator
    input = outer_elements
    subdomain_id = 2
  []

  [collect_meshes]
    type = MeshCollectionGenerator
    inputs = 'inner middle outer'
  []

  # add set of 3 nodes to remove rigid body modes for y-translation in each block
  [pin]
    type = ExtraNodesetGenerator
    input = collect_meshes
    new_boundary = pin
    coord = '0 0 0; 1.6 0 0; 2.7 0 0'
  []

  patch_update_strategy = iteration
[]

[Variables]
  # temperature field variable (first order Lagrange by default)
  [T]
  []
  # temperature lagrange multipliers
  [Tlm1]
    block = 'inner_gap_secondary_subdomain'
  []
  [Tlm2]
    block = 'outer_gap_secondary_subdomain'
  []
[]

[Kernels]
  [heat_conduction]
    type = HeatConduction
    variable = T
  []
  [dTdt]
    type = HeatConductionTimeDerivative
    variable = T
  []
[]

[Physics/SolidMechanics/QuasiStatic]
  [all]
    add_variables = true
    strain = FINITE
    eigenstrain_names = thermal
    generate_output = 'vonmises_stress stress_xx strain_xx stress_yy strain_yy'
    volumetric_locking_correction = true
    temperature = T
  []
[]

[Contact]
  [inner_gap]
    primary = middle_left
    secondary = inner_right
    model = frictionless
    formulation = mortar
    c_normal = 1e+0
  []
  [outer_gap]
    primary = outer_left
    secondary = middle_right
    model = frictionless
    formulation = mortar
    c_normal = 1e+0
  []
[]

[Constraints]
  # thermal contact constraint
  [Tlm1]
    type = GapConductanceConstraint
    variable = Tlm1
    secondary_variable = T
    use_displaced_mesh = true
    k = 1e-1
    primary_boundary = middle_left
    primary_subdomain = inner_gap_secondary_subdomain
    secondary_boundary = inner_right
    secondary_subdomain = inner_gap_primary_subdomain
  []
  [Tlm2]
    type = GapConductanceConstraint
    variable = Tlm2
    secondary_variable = T
    use_displaced_mesh = true
    k = 1e-1
    primary_boundary = outer_left
    primary_subdomain = outer_gap_secondary_subdomain
    secondary_boundary = middle_right
    secondary_subdomain = outer_gap_primary_subdomain
  []
[]

[BCs]
  [center_axis_fix]
    type = DirichletBC
    variable = disp_x
    boundary = 'inner_left'
    value = 0
  []
  [y_translation_fix]
    type = DirichletBC
    variable = disp_y
    boundary = 'pin'
    value = 0
  []
  [heat_center]
    type = FunctionDirichletBC
    variable = T
    boundary = 'inner_left'
    function = t*40
  []
  [cool_right]
    type = DirichletBC
    variable = T
    boundary = 'outer_right'
    value = 0
  []
[]

[Materials]
  [eigen_strain_inner]
    type = ComputeThermalExpansionEigenstrain
    eigenstrain_name = thermal
    temperature = T
    thermal_expansion_coeff = 1e-3
    stress_free_temperature = 0
    block = 0
  []
  [eigen_strain_middle]
    type = ComputeThermalExpansionEigenstrain
    eigenstrain_name = thermal
    temperature = T
    thermal_expansion_coeff = 2e-4
    stress_free_temperature = 0
    block = 1
  []
  [eigen_strain_outer]
    type = ComputeThermalExpansionEigenstrain
    eigenstrain_name = thermal
    temperature = T
    thermal_expansion_coeff = 1e-5
    stress_free_temperature = 0
    block = 2
  []

  [elasticity]
    type = ComputeIsotropicElasticityTensor
    youngs_modulus = 1
    poissons_ratio = 0.3
  []
  [stress]
    type = ComputeFiniteStrainElasticStress
  []

  # thermal properties
  [thermal_conductivity_0]
    type = HeatConductionMaterial
    thermal_conductivity = 50
    specific_heat = 1
    block = 0
  []
  [thermal_conductivity_1]
    type = HeatConductionMaterial
    thermal_conductivity = 5
    specific_heat = 1
    block = 1
  []
  [thermal_conductivity_2]
    type = HeatConductionMaterial
    thermal_conductivity = 1
    specific_heat = 1
    block = 2
  []
  [density]
    type = Density
    density = 1
  []
[]

[Preconditioning]
  [smp]
    type = SMP
    full = true
  []
[]

# [Debug]
#   show_var_residual_norms = true
# []

[Executioner]
  type = Transient
  solve_type = PJFNK
  line_search = none
  petsc_options_iname = '-pc_type -pc_factor_shift_type'
  petsc_options_value = 'lu       nonzero              '
  snesmf_reuse_base = false
  end_time = 7
  dt = 0.05

  nl_rel_tol = 1e-08
  nl_abs_tol = 1e-50

  [Predictor]
    type = SimplePredictor
    scale = 0.5
  []
[]

[Outputs]
  exodus = true
  print_linear_residuals = false
  perf_graph = true
[]

(modules/solid_mechanics/test/tests/dynamics/wave_1D/wave_rayleigh_newmark.i)

# Wave propogation in 1D using Newmark time integration in the presence of Rayleigh damping
#
# The test is for an 1D bar element of length 4m  fixed on one end
# with a sinusoidal pulse dirichlet boundary condition applied to the other end.
# beta and gamma are Newmark  time integration parameters
# eta and zeta are mass dependent and stiffness dependent Rayleigh damping
# coefficients, respectively.
# The equation of motion in terms of matrices is:
#
# M*accel + (eta*M+zeta*K)*vel +K*disp = 0
#
# Here M is the mass matrix, K is the stiffness matrix
#
# The displacement at the second, third and fourth node at t = 0.1 are
# -7.776268399030435152e-02, 1.949967184623528985e-02 and -4.615737877580032046e-03, respectively

[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 4
  nz = 1
  xmin = 0.0
  xmax = 0.1
  ymin = 0.0
  ymax = 4.0
  zmin = 0.0
  zmax = 0.1
[]


[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
[]

[AuxVariables]
  [./vel_x]
  [../]
  [./accel_x]
  [../]
  [./vel_y]
  [../]
  [./accel_y]
  [../]
  [./vel_z]
  [../]
  [./accel_z]
  [../]
  [./stress_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./strain_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]

[]

[Kernels]
  [./DynamicSolidMechanics]
    displacements = 'disp_x disp_y disp_z'
    stiffness_damping_coefficient = 0.1
  [../]
  [./inertia_x]
    type = InertialForce
    variable = disp_x
    velocity = vel_x
    acceleration = accel_x
    beta = 0.3025
    gamma = 0.6
    eta=0.1
  [../]
  [./inertia_y]
    type = InertialForce
    variable = disp_y
    velocity = vel_y
    acceleration = accel_y
    beta = 0.3025
    gamma = 0.6
    eta=0.1
  [../]
  [./inertia_z]
    type = InertialForce
    variable = disp_z
    velocity = vel_z
    acceleration = accel_z
    beta = 0.3025
    gamma = 0.6
    eta = 0.1
  [../]

[]

[AuxKernels]
  [./accel_x]
    type = NewmarkAccelAux
    variable = accel_x
    displacement = disp_x
    velocity = vel_x
    beta = 0.3025
    execute_on = timestep_end
  [../]
  [./vel_x]
    type = NewmarkVelAux
    variable = vel_x
    acceleration = accel_x
    gamma = 0.6
    execute_on = timestep_end
  [../]
  [./accel_y]
    type = NewmarkAccelAux
    variable = accel_y
    displacement = disp_y
    velocity = vel_y
    beta = 0.3025
    execute_on = timestep_end
  [../]
  [./vel_y]
    type = NewmarkVelAux
    variable = vel_y
    acceleration = accel_y
    gamma = 0.6
    execute_on = timestep_end
  [../]
  [./accel_z]
    type = NewmarkAccelAux
    variable = accel_z
    displacement = disp_z
    velocity = vel_z
    beta = 0.3025
    execute_on = timestep_end
  [../]
  [./vel_z]
    type = NewmarkVelAux
    variable = vel_z
    acceleration = accel_z
    gamma = 0.6
    execute_on = timestep_end
  [../]
  [./stress_yy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yy
    index_i = 0
    index_j = 1
  [../]
  [./strain_yy]
    type = RankTwoAux
    rank_two_tensor = total_strain
    variable = strain_yy
    index_i = 0
    index_j = 1
  [../]

[]


[BCs]
  [./top_y]
    type = DirichletBC
    variable = disp_y
    boundary = top
    value=0.0
  [../]
  [./top_x]
    type = DirichletBC
    variable = disp_x
    boundary = top
    value=0.0
  [../]
  [./top_z]
    type = DirichletBC
    variable = disp_z
    boundary = top
    value=0.0
  [../]
  [./right_x]
    type = DirichletBC
    variable = disp_x
    boundary = right
    value=0.0
  [../]
  [./right_z]
    type = DirichletBC
    variable = disp_z
    boundary = right
    value=0.0
  [../]
  [./left_x]
    type = DirichletBC
    variable = disp_x
    boundary = left
    value=0.0
  [../]
  [./left_z]
    type = DirichletBC
    variable = disp_z
    boundary = left
    value=0.0
  [../]
  [./front_x]
    type = DirichletBC
    variable = disp_x
    boundary = front
    value=0.0
  [../]
  [./front_z]
    type = DirichletBC
    variable = disp_z
    boundary = front
    value=0.0
  [../]
  [./back_x]
    type = DirichletBC
    variable = disp_x
    boundary = back
    value=0.0
  [../]
  [./back_z]
    type = DirichletBC
    variable = disp_z
    boundary = back
    value=0.0
  [../]
  [./bottom_x]
    type = DirichletBC
    variable = disp_x
    boundary = bottom
    value=0.0
  [../]
  [./bottom_z]
    type = DirichletBC
    variable = disp_z
    boundary = bottom
    value=0.0
  [../]
  [./bottom_y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = bottom
    function = displacement_bc
  [../]
[]

[Materials]
  [./Elasticity_tensor]
    type = ComputeElasticityTensor
    block = 0
    fill_method = symmetric_isotropic
    C_ijkl = '1 0'
  [../]

  [./strain]
    type = ComputeSmallStrain
    block = 0
    displacements = 'disp_x disp_y disp_z'
  [../]

  [./stress]
    type = ComputeLinearElasticStress
    block = 0
  [../]

  [./density]
    type = GenericConstantMaterial
    block = 0
    prop_names = 'density'
    prop_values = '1'
  [../]

[]

[Executioner]
  type = Transient
  start_time = 0
  end_time = 6.0
  l_tol = 1e-12
  nl_rel_tol = 1e-12
  dt = 0.1
[]


[Functions]
  [./displacement_bc]
    type = PiecewiseLinear
    data_file = 'sine_wave.csv'
    format = columns
  [../]

[]

[Postprocessors]
  [./_dt]
    type = TimestepSize
  [../]
  [./disp_1]
    type = NodalVariableValue
    nodeid = 1
    variable = disp_y
  [../]
  [./disp_2]
    type = NodalVariableValue
    nodeid = 3
    variable = disp_y
  [../]
  [./disp_3]
    type = NodalVariableValue
    nodeid = 10
    variable = disp_y
  [../]
  [./disp_4]
    type = NodalVariableValue
    nodeid = 14
    variable = disp_y
  [../]
[]

[Outputs]
  exodus = true
  perf_graph = true
[]

(modules/porous_flow/test/tests/poro_elasticity/undrained_oedometer.i)

# An undrained oedometer test on a saturated poroelastic sample.
#
# The sample is a single unit element, with roller BCs on the sides
# and bottom.  A constant displacement is applied to the top: disp_z = -0.01*t.
# There is no fluid flow.
#
# Under these conditions
# porepressure = -(Fluid bulk modulus)*log(1 - 0.01t)
# stress_xx = (bulk - 2*shear/3)*disp_z/L (remember this is effective stress)
# stress_zz = (bulk + 4*shear/3)*disp_z/L (remember this is effective stress)
# where L is the height of the sample (L=1 in this test)
#
# Parameters:
# Bulk modulus = 2
# Shear modulus = 1.5
# fluid bulk modulus = 1
#
# Desired output:
# zdisp = -0.01*t
# p0 = 1*log(1-0.01t)
# stress_xx = stress_yy = -0.01*t
# stress_zz = -0.04*t
#
# Regarding the "log" - it just comes from conserving fluid mass

[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
  PorousFlowDictator = dictator
  block = 0
[]

[Variables]
  [disp_x]
  []
  [disp_y]
  []
  [disp_z]
  []
  [porepressure]
  []
[]

[BCs]
  [confinex]
    type = DirichletBC
    variable = disp_x
    value = 0
    boundary = 'left right'
  []
  [confiney]
    type = DirichletBC
    variable = disp_y
    value = 0
    boundary = 'bottom top'
  []
  [basefixed]
    type = DirichletBC
    variable = disp_z
    value = 0
    boundary = back
  []
  [top_velocity]
    type = FunctionDirichletBC
    variable = disp_z
    function = -0.01*t
    boundary = front
  []
[]

[Kernels]
  [grad_stress_x]
    type = StressDivergenceTensors
    variable = disp_x
    component = 0
  []
  [grad_stress_y]
    type = StressDivergenceTensors
    variable = disp_y
    component = 1
  []
  [grad_stress_z]
    type = StressDivergenceTensors
    variable = disp_z
    component = 2
  []
  [poro_vol_exp]
    type = PorousFlowMassVolumetricExpansion
    variable = porepressure
    fluid_component = 0
  []
  [mass0]
    type = PorousFlowMassTimeDerivative
    fluid_component = 0
    variable = porepressure
  []
[]

[AuxVariables]
  [stress_xx]
    order = CONSTANT
    family = MONOMIAL
  []
  [stress_xy]
    order = CONSTANT
    family = MONOMIAL
  []
  [stress_xz]
    order = CONSTANT
    family = MONOMIAL
  []
  [stress_yy]
    order = CONSTANT
    family = MONOMIAL
  []
  [stress_yz]
    order = CONSTANT
    family = MONOMIAL
  []
  [stress_zz]
    order = CONSTANT
    family = MONOMIAL
  []
[]

[AuxKernels]
  [stress_xx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xx
    index_i = 0
    index_j = 0
  []
  [stress_xy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xy
    index_i = 0
    index_j = 1
  []
  [stress_xz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xz
    index_i = 0
    index_j = 2
  []
  [stress_yy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yy
    index_i = 1
    index_j = 1
  []
  [stress_yz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yz
    index_i = 1
    index_j = 2
  []
  [stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zz
    index_i = 2
    index_j = 2
  []
[]

[FluidProperties]
  [simple_fluid]
    type = SimpleFluidProperties
    bulk_modulus = 1
    density0 = 1
    thermal_expansion = 0
  []
[]

[Materials]
  [temperature]
    type = PorousFlowTemperature
  []
  [elasticity_tensor]
    type = ComputeElasticityTensor
    C_ijkl = '1 1.5'
    # bulk modulus is lambda + 2*mu/3 = 1 + 2*1.5/3 = 2
    fill_method = symmetric_isotropic
  []
  [strain]
    type = ComputeSmallStrain
  []
  [stress]
    type = ComputeLinearElasticStress
  []
  [vol_strain]
    type = PorousFlowVolumetricStrain
  []
  [eff_fluid_pressure]
    type = PorousFlowEffectiveFluidPressure
  []
  [ppss]
    type = PorousFlow1PhaseP
    porepressure = porepressure
    capillary_pressure = pc
  []
  [massfrac]
    type = PorousFlowMassFraction
  []
  [simple_fluid]
    type = PorousFlowSingleComponentFluid
    fp = simple_fluid
    phase = 0
  []
  [porosity]
    type = PorousFlowPorosityConst
    porosity = 0.1
  []
[]

[UserObjects]
  [dictator]
    type = PorousFlowDictator
    porous_flow_vars = 'porepressure disp_x disp_y disp_z'
    number_fluid_phases = 1
    number_fluid_components = 1
  []
  [pc]
    type = PorousFlowCapillaryPressureVG
    m = 0.8
    alpha = 1
  []
[]

[Postprocessors]
  [fluid_mass]
    type = PorousFlowFluidMass
    fluid_component = 0
    execute_on = 'initial timestep_end'
  []
  [p0]
    type = PointValue
    outputs = csv
    point = '0 0 0'
    variable = porepressure
  []
  [zdisp]
    type = PointValue
    outputs = csv
    point = '0 0 0.5'
    variable = disp_z
  []
  [stress_xx]
    type = PointValue
    outputs = csv
    point = '0 0 0'
    variable = stress_xx
  []
  [stress_yy]
    type = PointValue
    outputs = csv
    point = '0 0 0'
    variable = stress_yy
  []
  [stress_zz]
    type = PointValue
    outputs = csv
    point = '0 0 0'
    variable = stress_zz
  []

[]

[Preconditioning]
  [andy]
    type = SMP
    full = true
    petsc_options_iname = '-ksp_type -pc_type -snes_atol -snes_rtol -snes_max_it'
    petsc_options_value = 'bcgs bjacobi 1E-14 1E-8 10000'
  []
[]

[Executioner]
  type = Transient
  solve_type = Newton
  start_time = 0
  end_time = 10
  dt = 1
[]

[Outputs]
  execute_on = 'timestep_end'
  file_base = undrained_oedometer
  [csv]
    type = CSV
  []
[]

(modules/level_set/test/tests/kernels/advection/advection_mms.i)

[Mesh]
  type = GeneratedMesh
  dim = 1
  xmin = 0
  xmax = 12
  nx = 48
[]

[Adaptivity]
  steps = 5
  marker = marker
  [./Markers]
    [./marker]
      type = UniformMarker
      mark = REFINE
    [../]
  [../]
[]

[Variables]
  [./phi]
  [../]
[]

[AuxVariables]
  [./velocity]
    family = LAGRANGE_VEC
  [../]
[]

[ICs]
  [./vel_ic]
    type = VectorFunctionIC
    variable = velocity
    function = velocity_func
  []
[]

[BCs]
  [./left]
    type = FunctionDirichletBC
    boundary = 'left'
    function = phi_exact
    variable = phi
  [../]
[]

[Functions]
  [./phi_exact]
    type = ParsedFunction
    expression = 'a*sin(pi*x/b)*cos(pi*x)'
    symbol_names = 'a b'
    symbol_values = '2 12'
  [../]
  [./phi_mms]
    type = ParsedFunction
    expression = '-2*pi*a*sin(pi*x)*sin(pi*x/b) + 2*pi*a*cos(pi*x)*cos(pi*x/b)/b'
    symbol_names = 'a b'
    symbol_values = '2 12'
  [../]
  [./velocity_func]
    type = ParsedVectorFunction
    expression_x = '2'
    expression_y = '2'
  [../]
[]

[Kernels]
  [./phi_advection]
    type = LevelSetAdvection
    variable = phi
    velocity = velocity
  [../]
  [./phi_forcing]
    type = BodyForce
    variable = phi
    function = phi_mms
  [../]
[]

[Postprocessors]
  [./error]
    type = ElementL2Error
    function = phi_exact
    variable = phi
  [../]
  [./h]
    type = AverageElementSize
  [../]
[]

[VectorPostprocessors]
  active = ''
  [./results]
    type = LineValueSampler
    variable = phi
    start_point = '0 0 0'
    end_point = '12 0 0'
    num_points = 500
    sort_by = x
  [../]
[]

[Executioner]
  type = Steady
  nl_rel_tol = 1e-10
  solve_type = NEWTON
  # A steady-state pure advection problem is numerically challenging,
  # it has a zero diagonal in the Jabocian matrix. The following solver
  # settings seem to reliably solve this problem.
  petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
  petsc_options_value = 'lu       superlu_dist'
[]

[Outputs]
  execute_on = 'TIMESTEP_END'
  csv = true
[]

(modules/solid_mechanics/test/tests/capped_mohr_coulomb/small_deform22.i)

# Mohr-Coulomb only
# apply stretches in x direction and smaller stretches in the y direction
# to observe return to the MC plane
# This tests uses hardening of the cohesion.  The returned configuration
# should obey
# 0 = 0.5 * (Smax - Smin) + 0.5 * (Smax + Smin) * sin(phi) - C cos(phi)
# which allows inference of C.

[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]


[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]

[Physics/SolidMechanics/QuasiStatic]
  [./all]
    add_variables = true
    incremental = true
    generate_output = 'max_principal_stress mid_principal_stress min_principal_stress stress_xx stress_xy stress_xz stress_yy stress_yz stress_zz'
  [../]
[]


[BCs]
  [./x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'front back'
    function = '0.4E-6*x*t'
  [../]
  [./y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'front back'
    function = '0.1E-6*y*t'
  [../]
  [./z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'front back'
    function = '0'
  [../]
[]

[AuxVariables]
  [./yield_fcn]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./iter]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./intnl]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]

[AuxKernels]
  [./yield_fcn_auxk]
    type = MaterialStdVectorAux
    index = 6
    property = plastic_yield_function
    variable = yield_fcn
  [../]
  [./iter_auxk]
    type = MaterialRealAux
    property = plastic_NR_iterations
    variable = iter
  [../]
  [./intnl_auxk]
    type = MaterialStdVectorAux
    property = plastic_internal_parameter
    index = 0
    variable = intnl
  [../]
[]

[Postprocessors]
  [./s_max]
    type = PointValue
    point = '0 0 0'
    variable = max_principal_stress
  [../]
  [./s_mid]
    type = PointValue
    point = '0 0 0'
    variable = mid_principal_stress
  [../]
  [./s_min]
    type = PointValue
    point = '0 0 0'
    variable = min_principal_stress
  [../]
  [./f]
    type = PointValue
    point = '0 0 0'
    variable = yield_fcn
  [../]
  [./iter]
    type = PointValue
    point = '0 0 0'
    variable = iter
  [../]
  [./intnl]
    type = PointValue
    point = '0 0 0'
    variable = intnl
  [../]
[]

[UserObjects]
  [./ts]
    type = SolidMechanicsHardeningConstant
    value = 1E6
  [../]
  [./mc_coh]
    type = SolidMechanicsHardeningCubic
    value_0 = 10
    value_residual = 20
    internal_limit = 5E-6
  [../]
  [./mc_phi]
    type = SolidMechanicsHardeningConstant
    value = 30
    convert_to_radians = true
  [../]
  [./mc_psi]
    type = SolidMechanicsHardeningConstant
    value = 30
    convert_to_radians = true
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeIsotropicElasticityTensor
    youngs_modulus = 1E7
    poissons_ratio = 0.3
  [../]
  [./mc]
    type = CappedMohrCoulombStressUpdate
    tensile_strength = ts
    compressive_strength = ts
    cohesion = mc_coh
    friction_angle = mc_phi
    dilation_angle = mc_psi
    smoothing_tol = 0
    yield_function_tol = 1.0E-9
  [../]
  [./stress]
    type = ComputeMultipleInelasticStress
    inelastic_models = mc
    perform_finite_strain_rotations = false
  [../]
[]


[Executioner]
  end_time = 10
  dt = 1
  type = Transient
[]


[Outputs]
  file_base = small_deform_hard21
  csv = true
[]

(test/tests/time_integrators/tvdrk2/2d-quadratic.i)

[Mesh]
  type = GeneratedMesh
  dim = 2
  xmin = -1
  xmax = 1
  ymin = -1
  ymax = 1
  nx = 20
  ny = 20
  elem_type = QUAD9
[]

[Functions]
  [./ic]
    type = ParsedFunction
    expression = 0
  [../]

  [./forcing_fn]
    type = ParsedFunction
    expression = 2*t*((x*x)+(y*y))-(4*t*t)
  [../]

  [./exact_fn]
    type = ParsedFunction
    expression = t*t*((x*x)+(y*y))
  [../]
[]

[Variables]
  [./u]
    order = SECOND
    family = LAGRANGE
  [../]
[]

[Kernels]
  [./ie]
    type = TimeDerivative
    variable = u
    implicit = true
  [../]

  [./diff]
    type = Diffusion
    variable = u
    implicit = false
  [../]

  [./ffn]
    type = BodyForce
    variable = u
    function = forcing_fn
    implicit = false
  [../]
[]

[ICs]
  [./u_ic]
    type = FunctionIC
    variable = u
    function = ic
  [../]
[]

[BCs]
  [./all]
    type = FunctionDirichletBC
    variable = u
    boundary = '0 1 2 3'
    function = exact_fn
  [../]
[]

[Postprocessors]
  [./l2_err]
    type = ElementL2Error
    variable = u
    function = exact_fn
  [../]
[]

[Executioner]
  type = Transient

  [./TimeIntegrator]
    type = ExplicitTVDRK2
  [../]
  solve_type = 'LINEAR'

  start_time = 0.0
  num_steps = 10
  dt = 0.0001
  l_tol = 1e-8
[]

[Outputs]
  exodus = true
  perf_graph = true
[]

(test/tests/geomsearch/2d_moving_penetration/pl_test2qtt.i)

[GlobalParams]
  order = SECOND
  family = LAGRANGE
[]

[Mesh]
  file = pl_test2q.e
  displacements = 'disp_x disp_y'
[]

[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
[]

[AuxVariables]
  [./distance]
  [../]
  [./tangential_distance]
  [../]
  [./normal_x]
  [../]
  [./normal_y]
  [../]
  [./closest_point_x]
  [../]
  [./closest_point_y]
  [../]
  [./element_id]
  [../]
  [./side]
  [../]
[]

[Kernels]
  [./diff_x]
    type = Diffusion
    variable = disp_x
  [../]
  [./diff_y]
    type = Diffusion
    variable = disp_y
  [../]
[]

[AuxKernels]
  [./penetrate]
    type = PenetrationAux
    variable = distance
    boundary = 11            #secondary
    paired_boundary = 12     #primary
    tangential_tolerance = 0.1
  [../]

  [./penetrate2]
    type = PenetrationAux
    variable = distance
    boundary = 12            #secondary
    paired_boundary = 11     #primary
    tangential_tolerance = 0.1
  [../]

  [./penetrate3]
    type = PenetrationAux
    variable = tangential_distance
    boundary = 11
    paired_boundary = 12
    quantity = tangential_distance
  [../]

  [./penetrate4]
    type = PenetrationAux
    variable = tangential_distance
    boundary = 12
    paired_boundary = 11
    quantity = tangential_distance
  [../]

  [./penetrate5]
    type = PenetrationAux
    variable = normal_x
    boundary = 11
    paired_boundary = 12
    quantity = normal_x
  [../]

  [./penetrate6]
    type = PenetrationAux
    variable = normal_x
    boundary = 12
    paired_boundary = 11
    quantity = normal_x
  [../]

  [./penetrate7]
    type = PenetrationAux
    variable = normal_y
    boundary = 11
    paired_boundary = 12
    quantity = normal_y
  [../]

  [./penetrate8]
    type = PenetrationAux
    variable = normal_y
    boundary = 12
    paired_boundary = 11
    quantity = normal_y
  [../]

  [./penetrate9]
    type = PenetrationAux
    variable = closest_point_x
    boundary = 11
    paired_boundary = 12
    quantity = closest_point_x
  [../]

  [./penetrate10]
    type = PenetrationAux
    variable = closest_point_x
    boundary = 12
    paired_boundary = 11
    quantity = closest_point_x
  [../]

  [./penetrate11]
    type = PenetrationAux
    variable = closest_point_y
    boundary = 11
    paired_boundary = 12
    quantity = closest_point_y
  [../]

  [./penetrate12]
    type = PenetrationAux
    variable = closest_point_y
    boundary = 12
    paired_boundary = 11
    quantity = closest_point_y
  [../]

  [./penetrate13]
    type = PenetrationAux
    variable = element_id
    boundary = 11
    paired_boundary = 12
    quantity = element_id
  [../]

  [./penetrate14]
    type = PenetrationAux
    variable = element_id
    boundary = 12
    paired_boundary = 11
    quantity = element_id
  [../]

  [./penetrate15]
    type = PenetrationAux
    variable = side
    boundary = 11
    paired_boundary = 12
    quantity = side
  [../]

  [./penetrate16]
    type = PenetrationAux
    variable = side
    boundary = 12
    paired_boundary = 11
    quantity = side
  [../]
[]

[BCs]
  [./b1x]
    type = DirichletBC
    variable = disp_x
    boundary = 1
    value = 0
  [../]

  [./b1y]
    type = DirichletBC
    variable = disp_y
    boundary = 1
    value = 0
  [../]

  [./b2x]
    type = DirichletBC
    variable = disp_x
    boundary = 2
    value = 0
  [../]

  [./b2y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 2
    function = disp_y
  [../]
[]

[Functions]
  [./disp_y]
    type = PiecewiseLinear
    x = '0.0 0.25 0.75 1.0'
    y = '0.0 0.7 -0.7  0.0'
  [../]
[]

[Executioner]
  type = Transient

  solve_type = 'PJFNK'
  petsc_options = '-snes_ksp_ew'

  nl_rel_tol = 1.e-9
  l_max_its = 10

  start_time = 0.0
  dt = 0.05
  end_time = 1.0
  [./Quadrature]
    order = THIRD
  [../]
[]

[Outputs]
  file_base = pl_test2qtt_out
  exodus = true
[]

(modules/solid_mechanics/test/tests/finite_strain_jacobian/bending_jacobian.i)

[Mesh]
  [generated_mesh]
    type = GeneratedMeshGenerator
    dim = 2
    xmin = 0
    xmax = 10
    ymin = 0
    ymax = 2
    nx = 10
    ny = 2
    elem_type = QUAD4
  []
  [corner]
    type = ExtraNodesetGenerator
    new_boundary = 101
    coord = '0 0'
    input = generated_mesh
  []
  [side]
    type = ExtraNodesetGenerator
    new_boundary = 102
    coord = '10 0'
    input = corner
  []
  [mid]
    type = ExtraNodesetGenerator
    new_boundary = 103
    coord = '5 2'
    input = side
  []
[]

[GlobalParams]
  displacements = 'disp_x disp_y'
[]

[Physics/SolidMechanics/QuasiStatic]
  [./all]
    strain = FINITE
    add_variables = true
    use_finite_deform_jacobian = true
    volumetric_locking_correction = false
  [../]
[]

[Materials]
  [./stress]
    type = ComputeFiniteStrainElasticStress
  [../]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    fill_method = symmetric9
    C_ijkl = '1.684e5 0.176e5 0.176e5 1.684e5 0.176e5 1.684e5 0.754e5 0.754e5 0.754e5'
  [../]
[]

[BCs]
 [./fix_corner_x]
   type = DirichletBC
   variable = disp_x
   boundary = 101
   value = 0
 [../]
 [./fix_corner_y]
   type = DirichletBC
   variable = disp_y
   boundary = 101
   value = 0
 [../]
 [./fix_y]
   type = DirichletBC
   variable = disp_y
   boundary = 102
   value = 0
 [../]
 [./move_y]
   type = FunctionDirichletBC
   variable = disp_y
   boundary = 103
   function = '-t'
 [../]
[]

[Executioner]
  type = Transient

  solve_type = NEWTON
  petsc_options_iname = '-pc_type'
  petsc_options_value = 'lu'

  nl_rel_tol = 1e-10
  nl_max_its = 10

  l_tol  = 1e-4
  l_max_its = 50

  dt = 0.1
  dtmin = 0.1

  num_steps = 2
[]

[Preconditioning]
  [./smp]
    type = SMP
    full = true
  [../]
[]

[Outputs]
  exodus = true
[]

(modules/contact/test/tests/sliding_block/sliding/frictionless_kinematic.i)

#  This is a benchmark test that checks constraint based frictionless
#  contact using the kinematic method.  In this test a constant
#  displacement is applied in the horizontal direction to simulate
#  a small block come sliding down a larger block.
#
#  The gold file is run on one processor
#  and the benchmark case is run on a minimum of 4 processors to ensure no
#  parallel variability in the contact pressure and penetration results.
#

[Mesh]
  file = sliding_elastic_blocks_2d.e
  patch_size = 80
[]

[GlobalParams]
  volumetric_locking_correction = false
  displacements = 'disp_x disp_y'
[]

[AuxVariables]
  [./penetration]
  [../]
  [./inc_slip_x]
  [../]
  [./inc_slip_y]
  [../]
  [./accum_slip_x]
  [../]
  [./accum_slip_y]
  [../]
[]

[Functions]
  [./vertical_movement]
    type = ParsedFunction
    expression = -t
  [../]
[]

[Physics/SolidMechanics/QuasiStatic]
  [./all]
    add_variables = true
    strain = FINITE
  [../]
[]

[AuxKernels]
  [./zeroslip_x]
    type = ConstantAux
    variable = inc_slip_x
    boundary = 3
    execute_on = timestep_begin
    value = 0.0
  [../]
  [./zeroslip_y]
    type = ConstantAux
    variable = inc_slip_y
    boundary = 3
    execute_on = timestep_begin
    value = 0.0
  [../]
  [./accum_slip_x]
    type = AccumulateAux
    variable = accum_slip_x
    accumulate_from_variable = inc_slip_x
    execute_on = timestep_end
  [../]
  [./accum_slip_y]
    type = AccumulateAux
    variable = accum_slip_y
    accumulate_from_variable = inc_slip_y
    execute_on = timestep_end
  [../]
  [./penetration]
    type = PenetrationAux
    variable = penetration
    boundary = 3
    paired_boundary = 2
  [../]
[]

[Postprocessors]
  [./nonlinear_its]
    type = NumNonlinearIterations
    execute_on = timestep_end
  [../]
  [./penetration]
    type = NodalVariableValue
    variable = penetration
    nodeid = 222
  [../]
  [./contact_pressure]
    type = NodalVariableValue
    variable = contact_pressure
    nodeid = 222
  [../]
[]

[BCs]
  [./left_x]
    type = DirichletBC
    variable = disp_x
    boundary = 1
    value = 0.0
  [../]
  [./left_y]
    type = DirichletBC
    variable = disp_y
    boundary = 1
    value = 0.0
  [../]
  [./right_x]
    type = DirichletBC
    variable = disp_x
    boundary = 4
    value = -0.02
  [../]
  [./right_y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 4
    function = vertical_movement
  [../]
[]

[Materials]

  [./left]
    type = ComputeIsotropicElasticityTensor
    block = '1 2'
    youngs_modulus = 1e6
    poissons_ratio = 0.3
  [../]
  [./left_stress]
    type = ComputeFiniteStrainElasticStress
    block = '1 2'
  [../]
[]

[Executioner]
  type = Transient
  solve_type = 'PJFNK'

  petsc_options = '-snes_ksp_ew'
  petsc_options_iname = '-pc_type -sub_pc_type -pc_asm_overlap -ksp_gmres_restart'
  petsc_options_value = 'asm     lu    20    101'

  line_search = 'none'

  l_max_its = 100
  nl_max_its = 1000
  dt = 0.1
  end_time = 15
  num_steps = 1000
  l_tol = 1e-6
  nl_rel_tol = 1e-10
  nl_abs_tol = 1e-6
  dtmin = 0.01

  [./Predictor]
    type = SimplePredictor
    scale = 1.0
  [../]
[]

[Outputs]
  time_step_interval = 10
  [./out]
    type = Exodus
    elemental_as_nodal = true
  [../]
  [./console]
    type = Console
    max_rows = 5
  [../]
[]

[Contact]
  [./leftright]
    secondary = 3
    primary = 2
    model = frictionless
    penalty = 1e+6
    normal_smoothing_distance = 0.1
  [../]
[]

(test/tests/functions/piecewise_constant/piecewise_constant.i)

# This tests the PiecewiseConstant function.
# There are four variables and four functions: a,b,c, and d.  The diffusion equation is "solved"
# for each of these variables with a boundary condition of type FunctionDirichletBC applied to a boundary
# (i.e. node set) that includes every node in the element, so the solution is the boundary condition defined by the function.
# Each boundary condition uses a function of type PiecewiseConstant.
#
# The value of the variables should correspond to the function.

[Mesh]
  file = cube.e
  # This problem only has 1 element, so using DistributedMesh in parallel
  # isn't really an option, and we don't care that much about DistributedMesh
  # in serial.
  parallel_type = replicated
[]

[Variables]
  [aVar]
    order = FIRST
    family = LAGRANGE
    initial_condition = 0.1
  []
  [bVar]
    order = FIRST
    family = LAGRANGE
    initial_condition = 0.1
  []
  [cVar]
    order = FIRST
    family = LAGRANGE
    initial_condition = 0.1
  []
  [dVar]
    order = FIRST
    family = LAGRANGE
    initial_condition = 0.1
  []
[]

[Functions]
  [a]
    type = PiecewiseConstant
    xy_data = '0.5 0.1
               1.0 0.2
               1.5 0.1'
    direction = left
  []
  [b]
    type = PiecewiseConstant
    x = '0.5 1.0 1.5'
    y = '0.1 0.2 0.1'
    direction = right
  []
  [c]
    type = PiecewiseConstant
    data_file = pc.csv
    direction = left
    format = columns
  []
  [d]
    type = PiecewiseConstant
    data_file = pc.csv
    direction = right
    format = columns
  []
[]

[Kernels]
  [diffa]
    type = Diffusion
    variable = aVar
  []
  [diffb]
    type = Diffusion
    variable = bVar
  []
  [diffc]
    type = Diffusion
    variable = cVar
  []
  [diffd]
    type = Diffusion
    variable = dVar
  []
[]

[BCs]
  [a]
    type = FunctionDirichletBC
    variable = aVar
    boundary = '1'
    function = a
  []
  [b]
    type = FunctionDirichletBC
    variable = bVar
    boundary = '1'
    function = b
  []
  [c]
    type = FunctionDirichletBC
    variable = cVar
    boundary = '1'
    function = c
  []
  [d]
    type = FunctionDirichletBC
    variable = dVar
    boundary = '1'
    function = d
  []
[]

[Executioner]
  type = Transient
  dt = 0.2
  end_time = 3
  nl_rel_tol = 1e-12
[]

[Outputs]
  exodus = true
[]

(test/tests/auxscalarkernels/constant_scalar_aux/constant_scalar_aux.i)

#
# Testing a solution that is second order in space and first order in time
#

[Mesh]
  type = GeneratedMesh
  dim = 2
  xmin = -1
  xmax = 1
  ymin = -1
  ymax = 1
  nx = 10
  ny = 10
  elem_type = QUAD9
[]

[AuxVariables]
  [./x]
    family = SCALAR
    order = FIRST
  [../]
[]

[Variables]
  [./u]
    order = SECOND
    family = LAGRANGE

    [./InitialCondition]
      type = ConstantIC
      value = 0
    [../]
  [../]
[]

[ICs]
  [./ic_x]
    type = ScalarConstantIC
    variable = x
    value = 11
  [../]
[]

[Functions]
  [./forcing_fn]
    type = ParsedFunction
    expression = ((x*x)+(y*y))-(4*t)
  [../]

  [./exact_fn]
    type = ParsedFunction
    expression = t*((x*x)+(y*y))
  [../]
[]

[AuxScalarKernels]
  [./const_x]
    type = ConstantScalarAux
    variable = x
    value = 11
  [../]
[]

[Kernels]
  [./ie]
    type = TimeDerivative
    variable = u
  [../]

  [./diff]
    type = Diffusion
    variable = u
  [../]

  [./ffn]
    type = BodyForce
    variable = u
    function = forcing_fn
  [../]
[]

[BCs]
  [./all]
    type = FunctionDirichletBC
    variable = u
    boundary = '0 1 2 3'
    function = exact_fn
  [../]
[]

[Postprocessors]
  [./l2_err]
    type = ElementL2Error
    variable = u
    function = exact_fn
    execute_on = 'initial timestep_end'
  [../]

[]

[Executioner]
  type = Transient
  scheme = 'implicit-euler'

  solve_type = 'PJFNK'

  start_time = 0.0
  num_steps = 5
  dt = 0.25

#  [./Adaptivity]
#    refine_fraction = 0.2
#    coarsen_fraction = 0.3
#    max_h_level = 4
#  [../]
[]

[Outputs]
  exodus = true
[]

(modules/solid_mechanics/test/tests/capped_weak_plane/small_deform5.i)

# Plastic deformation, shear failure
# With Young = 10, poisson=0.25 (Lame lambda=4, mu=4)
# applying the following
# deformation to the zmax surface of a unit cube:
# disp_x = 8*t
# disp_y = 6*t
# disp_z = 5*t/6
# should yield trial stress:
# stress_zz = 10*t
# stress_zx = 32*t
# stress_zy = 24*t (so q_trial = 40*t)
# Use tan(friction_angle) = 0.5 and tan(dilation_angle) = 1/6, and cohesion=20,
# the system should return to p=0, q=20, ie stress_zz=0, stress_xz=16,
# stress_yz=12 on the first time step (t=1)
[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]


[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]

[Physics/SolidMechanics/QuasiStatic]
  [./all]
    add_variables = true
    incremental = true
    generate_output = 'stress_xx stress_xy stress_xz stress_yy stress_yz stress_zz plastic_strain_xx plastic_strain_xy plastic_strain_xz plastic_strain_yy plastic_strain_yz plastic_strain_zz strain_xx strain_xy strain_xz strain_yy strain_yz strain_zz'
  [../]
[]

[BCs]
  [./bottomx]
    type = DirichletBC
    variable = disp_x
    boundary = back
    value = 0.0
  [../]
  [./bottomy]
    type = DirichletBC
    variable = disp_y
    boundary = back
    value = 0.0
  [../]
  [./bottomz]
    type = DirichletBC
    variable = disp_z
    boundary = back
    value = 0.0
  [../]

  [./topx]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = front
    function = 8*t
  [../]
  [./topy]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = front
    function = 6*t
  [../]
  [./topz]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = front
    function = 5*t/6
  [../]
[]

[AuxVariables]
  [./f_shear]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f_tensile]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f_compressive]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./intnl_shear]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./intnl_tensile]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./iter]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./ls]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]

[AuxKernels]
  [./f_shear]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 0
    variable = f_shear
  [../]
  [./f_tensile]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 1
    variable = f_tensile
  [../]
  [./f_compressive]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 2
    variable = f_compressive
  [../]
  [./intnl_shear]
    type = MaterialStdVectorAux
    property = plastic_internal_parameter
    index = 0
    variable = intnl_shear
  [../]
  [./intnl_tensile]
    type = MaterialStdVectorAux
    property = plastic_internal_parameter
    index = 1
    variable = intnl_tensile
  [../]
  [./iter]
    type = MaterialRealAux
    property = plastic_NR_iterations
    variable = iter
  [../]
  [./ls]
    type = MaterialRealAux
    property = plastic_linesearch_needed
    variable = ls
  [../]
[]

[Postprocessors]
  [./stress_xx]
    type = PointValue
    point = '0 0 0'
    variable = stress_xx
  [../]
  [./stress_xy]
    type = PointValue
    point = '0 0 0'
    variable = stress_xy
  [../]
  [./stress_xz]
    type = PointValue
    point = '0 0 0'
    variable = stress_xz
  [../]
  [./stress_yy]
    type = PointValue
    point = '0 0 0'
    variable = stress_yy
  [../]
  [./stress_yz]
    type = PointValue
    point = '0 0 0'
    variable = stress_yz
  [../]
  [./stress_zz]
    type = PointValue
    point = '0 0 0'
    variable = stress_zz
  [../]
  [./strainp_xx]
    type = PointValue
    point = '0 0 0'
    variable = plastic_strain_xx
  [../]
  [./strainp_xy]
    type = PointValue
    point = '0 0 0'
    variable = plastic_strain_xy
  [../]
  [./strainp_xz]
    type = PointValue
    point = '0 0 0'
    variable = plastic_strain_xz
  [../]
  [./strainp_yy]
    type = PointValue
    point = '0 0 0'
    variable = plastic_strain_yy
  [../]
  [./strainp_yz]
    type = PointValue
    point = '0 0 0'
    variable = plastic_strain_yz
  [../]
  [./strainp_zz]
    type = PointValue
    point = '0 0 0'
    variable = plastic_strain_zz
  [../]
  [./straint_xx]
    type = PointValue
    point = '0 0 0'
    variable = strain_xx
  [../]
  [./straint_xy]
    type = PointValue
    point = '0 0 0'
    variable = strain_xy
  [../]
  [./straint_xz]
    type = PointValue
    point = '0 0 0'
    variable = strain_xz
  [../]
  [./straint_yy]
    type = PointValue
    point = '0 0 0'
    variable = strain_yy
  [../]
  [./straint_yz]
    type = PointValue
    point = '0 0 0'
    variable = strain_yz
  [../]
  [./straint_zz]
    type = PointValue
    point = '0 0 0'
    variable = strain_zz
  [../]
  [./f_shear]
    type = PointValue
    point = '0 0 0'
    variable = f_shear
  [../]
  [./f_tensile]
    type = PointValue
    point = '0 0 0'
    variable = f_tensile
  [../]
  [./f_compressive]
    type = PointValue
    point = '0 0 0'
    variable = f_compressive
  [../]
  [./intnl_shear]
    type = PointValue
    point = '0 0 0'
    variable = intnl_shear
  [../]
  [./intnl_tensile]
    type = PointValue
    point = '0 0 0'
    variable = intnl_tensile
  [../]
  [./iter]
    type = PointValue
    point = '0 0 0'
    variable = iter
  [../]
  [./ls]
    type = PointValue
    point = '0 0 0'
    variable = ls
  [../]
[]


[UserObjects]
  [./coh]
    type = SolidMechanicsHardeningConstant
    value = 20
  [../]
  [./tanphi]
    type = SolidMechanicsHardeningConstant
    value = 0.5
  [../]
  [./tanpsi]
    type = SolidMechanicsHardeningConstant
    value = 0.166666666667
  [../]
  [./t_strength]
    type = SolidMechanicsHardeningConstant
    value = 100
  [../]
  [./c_strength]
    type = SolidMechanicsHardeningConstant
    value = 100
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    fill_method = symmetric_isotropic
    C_ijkl = '4 4'
  [../]
  [./admissible]
    type = ComputeMultipleInelasticStress
    inelastic_models = stress
    perform_finite_strain_rotations = false
  [../]
  [./stress]
    type = CappedWeakPlaneStressUpdate
    cohesion = coh
    tan_friction_angle = tanphi
    tan_dilation_angle = tanpsi
    tensile_strength = t_strength
    compressive_strength = c_strength
    tip_smoother = 0
    smoothing_tol = 0
    yield_function_tol = 1E-5
  [../]
[]

[Executioner]
  end_time = 1
  dt = 1
  type = Transient
[]

[Outputs]
  file_base = small_deform5
  csv = true
[]

(modules/solid_mechanics/test/tests/lagrangian/cartesian/updated/action/action_1D.i)

# Simple 1D plane strain test

[GlobalParams]
  displacements = 'disp_x'
  large_kinematics = true
[]

[Variables]
  [disp_x]
  []
[]

[Mesh]
  [msh]
    type = GeneratedMeshGenerator
    dim = 1
    nx = 10
  []
[]

[Physics]
  [SolidMechanics]
    [QuasiStatic]
      [all]
        strain = FINITE
        add_variables = true
        new_system = true
        formulation = UPDATED
        volumetric_locking_correction = false
      []
    []
  []
[]

[Functions]
  [pull]
    type = ParsedFunction
    expression = '0.06 * t'
  []
[]

[BCs]
  [leftx]
    type = DirichletBC
    preset = true
    boundary = right
    variable = disp_x
    value = 0.0
  []
  [pull]
    type = FunctionDirichletBC
    boundary = left
    variable = disp_x
    function = pull
    preset = true
  []
[]

[Materials]
  [elastic_tensor]
    type = ComputeIsotropicElasticityTensor
    youngs_modulus = 100000.0
    poissons_ratio = 0.3
  []
  [stress_base]
    type = ComputeLagrangianLinearElasticStress
  []
[]

[Preconditioning]
  [smp]
    type = SMP
    full = true
  []
[]

[Executioner]
  type = Transient

  solve_type = 'newton'
  line_search = none

  petsc_options_iname = '-pc_type'
  petsc_options_value = 'lu'

  l_max_its = 2
  l_tol = 1e-14
  nl_max_its = 15
  nl_rel_tol = 1e-8
  nl_abs_tol = 1e-10

  start_time = 0.0
  dt = 1.0
  dtmin = 1.0
  end_time = 5.0
[]

[Outputs]
  exodus = true
[]

(modules/contact/test/tests/bouncing-block-contact/ping-ponging/kinematic-ping-pong.i)

starting_point = 2e-1
offset = 1e-2

[GlobalParams]
  displacements = 'disp_x disp_y'
[]

[Mesh]
  file = long-bottom-block-no-lower-d.e
[]

[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
[]

[ICs]
  [./disp_y]
    block = 2
    variable = disp_y
    value = ${fparse starting_point + offset}
    type = ConstantIC
  [../]
[]

[Physics/SolidMechanics/QuasiStatic]
  [all]
    add_variables = false
    use_automatic_differentiation = true
    strain = SMALL
  []
[]

[Materials]
  [elasticity]
    type = ADComputeIsotropicElasticityTensor
    youngs_modulus = 1e0
    poissons_ratio = 0.3
  []
  [stress]
    type = ADComputeLinearElasticStress
  []
[]


[Contact]
  [leftright]
    secondary = 10
    primary = 20
    model = frictionless
    formulation = kinematic
    penalty = 1e0
  []
[]

[BCs]
  [./botx]
    type = DirichletBC
    variable = disp_x
    boundary = 40
    value = 0.0
  [../]
  [./boty]
    type = DirichletBC
    variable = disp_y
    boundary = 40
    value = 0.0
  [../]
  [./topy]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 30
    function = '${starting_point} * cos(2 * pi / 40 * t) + ${offset}'
  [../]
  [./leftx]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 50
    function = '1e-2 * t'
  [../]
[]

[Executioner]
  type = Transient
  num_steps = 19
  end_time = 200
  dt = 5
  dtmin = 5
  solve_type = 'PJFNK'
  petsc_options = '-snes_converged_reason -ksp_converged_reason'
  petsc_options_iname = '-pc_type -pc_hypre_type -mat_mffd_err'
  petsc_options_value = 'hypre    boomeramg      1e-5'
  l_max_its = 30
  nl_max_its = 20
  line_search = 'none'
[]

[Debug]
  show_var_residual_norms = true
[]

[Outputs]
  [exo]
    type = Exodus
  []
[]

[Preconditioning]
  [./smp]
    type = SMP
    full = true
  [../]
[]

(modules/heat_transfer/test/tests/gap_heat_transfer_htonly/planar_xz.i)

# 1-D Gap Heat Transfer Test without mechanics
#
# This test exercises 1-D gap heat transfer for a constant conductivity gap.
#
# The mesh consists of two element blocks in the x-z plane.  Each element block
# is a square. They sit next to one another with a unit between them.
#
# The conductivity of both blocks is set very large to achieve a uniform temperature
# across each block. The temperature of the far bottom boundary
# is ramped from 100 to 200 over one time unit.  The temperature of the far top
# boundary is held fixed at 100.
#
# A simple analytical solution is possible for the heat flux between the blocks:
#
# Flux = (T_left - T_right) * (gapK/gap_width)
#
# The gap conductivity is specified as 1, thus
#
# gapK(Tavg) = 1.0*Tavg
#
# The heat flux across the gap at time = 1 is then:
#
# Flux = 100 * (1.0/1.0) = 100
#
# For comparison, see results from the flux post processors.  These results
# are the same as for the unit 1-D gap heat transfer between two unit cubes.

[Mesh]
  [file]
    type = FileMeshGenerator
    file = simple_2D.e
  []
  [./rotate]
    type = TransformGenerator
    transform = ROTATE
    vector_value = '0 90 0'
    input = file
  [../]
[]

[Functions]
  [./temp]
    type = PiecewiseLinear
    x = '0   1   2'
    y = '100 200 200'
  [../]
[]

[ThermalContact]
  [./thermal_contact]
    type = GapHeatTransfer
    variable = temp
    primary = 3
    secondary = 2
    emissivity_primary = 0
    emissivity_secondary = 0
  [../]
[]

[Variables]
  [./temp]
    order = FIRST
    family = LAGRANGE
    initial_condition = 100
  [../]
[]

[AuxVariables]
  [./gap_cond]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]

[Kernels]
  [./heat]
    type = HeatConduction
    variable = temp
  [../]
[]


[BCs]
  [./temp_far_bottom]
    type = FunctionDirichletBC
    boundary = 1
    variable = temp
    function = temp
  [../]
  [./temp_far_top]
    type = DirichletBC
    boundary = 4
    variable = temp
    value = 100
  [../]
[]

[AuxKernels]
  [./conductance]
    type = MaterialRealAux
    property = gap_conductance
    variable = gap_cond
    boundary = 2
  [../]
[]

[Materials]
  [./heat1]
    type = HeatConductionMaterial
    block = '1 2'
    specific_heat = 1.0
    thermal_conductivity = 100000000.0
  [../]
  [./density]
    type = GenericConstantMaterial
    block = '1 2'
    prop_names = 'density'
    prop_values = '1.0'
  [../]
[]

[Executioner]
  type = Transient

  solve_type = 'PJFNK'
  petsc_options_iname = '-ksp_gmres_restart -pc_type -pc_hypre_type -pc_hypre_boomeramg_max_iter'
  petsc_options_value = '201                hypre    boomeramg      4'

  line_search = 'none'
  nl_rel_tol = 1e-12
  l_tol = 1e-3
  l_max_its = 100

  dt = 1e-1
  end_time = 1.0
[]

[Postprocessors]
  [./temp_bottom]
    type = SideAverageValue
    boundary = 2
    variable = temp
    execute_on = 'initial timestep_end'
  [../]

  [./temp_top]
    type = SideAverageValue
    boundary = 3
    variable = temp
    execute_on = 'initial timestep_end'
  [../]

  [./flux_bottom]
    type = SideDiffusiveFluxIntegral
    variable = temp
    boundary = 2
    diffusivity = thermal_conductivity
    execute_on = 'initial timestep_end'
  [../]

  [./flux_top]
    type = SideDiffusiveFluxIntegral
    variable = temp
    boundary = 3
    diffusivity = thermal_conductivity
    execute_on = 'initial timestep_end'
  [../]
[]

[Outputs]
  exodus = true
[]

(modules/contact/test/tests/cohesive_zone_model/bilinear_mixed.i)

[Mesh]
  [msh]
    type = GeneratedMeshGenerator
    dim = 2
    xmax = 1
    ymax = 2
    nx = 1
    ny = 2
  []
  [block1]
    type = SubdomainBoundingBoxGenerator
    input = 'msh'
    bottom_left = '0 0 0'
    top_right = '1 1 0'
    block_id = 1
    block_name = 'block1'
  []
  [block2]
    type = SubdomainBoundingBoxGenerator
    input = 'block1'
    bottom_left = '0 1 0'
    top_right = '1 2 0'
    block_id = 2
    block_name = 'block2'
  []
  [split]
    type = BreakMeshByBlockGenerator
    input = block2
  []
  [top_node]
    type = ExtraNodesetGenerator
    coord = '0 2 0'
    input = split
    new_boundary = top_node
  []
  [bottom_node]
    type = ExtraNodesetGenerator
    coord = '0 0 0'
    input = top_node
    new_boundary = bottom_node
  []
[]

[GlobalParams]
  displacements = 'disp_x disp_y'
[]

[Physics]
  [SolidMechanics]
    [QuasiStatic]
      generate_output = 'stress_yy stress_xy strain_xy'
      [all]
        strain = FINITE
        add_variables = true
        use_automatic_differentiation = true
        decomposition_method = TaylorExpansion
      []
    []
  []
[]

[BCs]
  [fix_x]
    type = DirichletBC
    preset = true
    value = 0.0
    boundary = bottom_node
    variable = disp_x
  []
  [fix_top]
    type = DirichletBC
    preset = true
    boundary = top
    variable = disp_x
    value = 0
  []
  [top]
    type = FunctionDirichletBC
    boundary = top
    variable = disp_y
    function = 'if(t<=0.3,t,if(t<=0.6,0.3-(t-0.3),0.6-t))'
    preset = true
  []
  [bottom]
    type = DirichletBC
    boundary = bottom
    variable = disp_y
    value = 0
    preset = true
  []
[]

[Modules/TensorMechanics/CohesiveZoneMaster]
  [czm_ik]
    boundary = 'interface'
  []
[]

[Materials]
  [stress]
    type = ADComputeFiniteStrainElasticStress
  []
  [elasticity_tensor]
    type = ADComputeElasticityTensor
    fill_method = symmetric9
    C_ijkl = '1.684e5 0.176e5 0.176e5 1.684e5 0.176e5 1.684e5 0.754e5 0.754e5 0.754e5'
  []
  [czm]
    type = BiLinearMixedModeTraction
    boundary = 'interface'
    penalty_stiffness = 1e6
    GI_c = 1e3
    GII_c = 1e2
    normal_strength = 1e4
    shear_strength = 1e3
    displacements = 'disp_x disp_y'
    eta = 2.2
    viscosity = 1e-3
  []
[]

[Postprocessors]
  [stress_yy]
    type = ElementExtremeValue
    variable = stress_yy
    value_type = max
  []
[]

[Preconditioning]
  [smp]
    type = SMP
    full = true
  []
[]

[Executioner]
  type = Transient

  solve_type = 'NEWTON'
  line_search = none

  petsc_options_iname = '-pc_type'
  petsc_options_value = 'lu'

  automatic_scaling = true

  l_max_its = 2
  l_tol = 1e-14
  nl_max_its = 30
  nl_rel_tol = 1e-50
  nl_abs_tol = 1e-15
  start_time = 0.0
  dt = 0.01
  end_time = 0.85
  dtmin = 0.01
[]

[Outputs]
  exodus = true
  csv = true
[]

(modules/solid_mechanics/test/tests/crystal_plasticity/stress_update_material_based/update_euler_angle.i)

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]

[Mesh]
  type = GeneratedMesh
  dim = 3
  elem_type = HEX8
[]

[AuxVariables]
  [euler_angle_1]
    order = CONSTANT
    family = MONOMIAL
  []
  [euler_angle_2]
    order = CONSTANT
    family = MONOMIAL
  []
  [euler_angle_3]
    order = CONSTANT
    family = MONOMIAL
  []
[]

[Physics/SolidMechanics/QuasiStatic/all]
  strain = FINITE
  add_variables = true
  generate_output = stress_zz
[]

[AuxKernels]
  [euler_angle_1]
    type = MaterialRealVectorValueAux
    variable = euler_angle_1
    property = updated_Euler_angle
    component = 0
    execute_on = timestep_end
  []
  [euler_angle_2]
    type = MaterialRealVectorValueAux
    variable = euler_angle_2
    property = updated_Euler_angle
    component = 1
    execute_on = timestep_end
  []
  [euler_angle_3]
    type = MaterialRealVectorValueAux
    variable = euler_angle_3
    property = updated_Euler_angle
    component = 2
    execute_on = timestep_end
  []
[]

[BCs]
  [Periodic]
    [all]
      variable = 'disp_x'
      auto_direction = 'z'
    []
  []
  [fix_x]
    type = DirichletBC
    variable = disp_x
    boundary = 'left'
    value = 0
  []
  [fix_y]
    type = DirichletBC
    variable = disp_y
    boundary = 'bottom'
    value = 0
  []
  [fix_z]
    type = DirichletBC
    variable = disp_z
    boundary = 'back'
    value = 0
  []
  [tdisp]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'front'
    function = '0.01*t'
  []
[]

[Materials]
  [elasticity_tensor]
    type = ComputeElasticityTensorCP
    C_ijkl = '1.684e5 1.214e5 1.214e5 1.684e5 1.214e5 1.684e5 0.754e5 0.754e5 0.754e5'
    fill_method = symmetric9
  []
  [stress]
    type = ComputeMultipleCrystalPlasticityStress
    crystal_plasticity_models = 'trial_xtalpl'
    tan_mod_type = exact
  []
  [trial_xtalpl]
    type = CrystalPlasticityKalidindiUpdate
    number_slip_systems = 12
    slip_sys_file_name = input_slip_sys.txt
  []
  [updated_euler_angle]
    type = ComputeUpdatedEulerAngle
    radian_to_degree = true
  []
[]

[Postprocessors]
  [euler_angle_1]
    type = ElementAverageValue
    variable = euler_angle_1
  []
  [euler_angle_2]
    type = ElementAverageValue
    variable = euler_angle_2
  []
  [euler_angle_3]
    type = ElementAverageValue
    variable = euler_angle_3
  []
[]

[Preconditioning]
  [smp]
    type = SMP
    full = true
  []
[]

[Executioner]
  type = Transient
  solve_type = 'PJFNK'

  petsc_options_iname = '-pc_type'
  petsc_options_value = ' lu '
  nl_abs_tol = 1e-10
  nl_rel_tol = 1e-10
  nl_abs_step_tol = 1e-10

  dt = 0.1
  dtmin = 0.01
  end_time = 5
[]

[Outputs]
  csv = true
[]

(modules/solid_mechanics/test/tests/neml2/viscoplasticity/isokinharden.i)

N = 2

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]

[Mesh]
  [gmg]
    type = GeneratedMeshGenerator
    dim = 3
    nx = ${N}
    ny = ${N}
    nz = ${N}
  []
[]

[Physics]
  [SolidMechanics]
    [QuasiStatic]
      [all]
        strain = SMALL
        new_system = true
        add_variables = true
        formulation = TOTAL
        volumetric_locking_correction = true
      []
    []
  []
[]

[NEML2]
  input = 'isokinharden_neml2.i'
  [all]
    model = 'model'
    verbose = true
    device = 'cpu'

    moose_input_types = 'MATERIAL     MATERIAL     POSTPROCESSOR POSTPROCESSOR MATERIAL     MATERIAL                  MATERIAL'
    moose_inputs = '     neml2_strain neml2_strain time          time          neml2_stress equivalent_plastic_strain kinematic_plastic_strain'
    neml2_inputs = '     forces/E     old_forces/E forces/t      old_forces/t  old_state/S  old_state/internal/ep     old_state/internal/Kp'

    moose_output_types = 'MATERIAL     MATERIAL                  MATERIAL'
    moose_outputs = '     neml2_stress equivalent_plastic_strain kinematic_plastic_strain'
    neml2_outputs = '     state/S      state/internal/ep         state/internal/Kp'

    moose_derivative_types = 'MATERIAL'
    moose_derivatives = 'neml2_jacobian'
    neml2_derivatives = 'state/S forces/E'
  []
[]

[Postprocessors]
  [time]
    type = TimePostprocessor
    execute_on = 'INITIAL TIMESTEP_BEGIN'
  []
[]

[Materials]
  [convert_strain]
    type = RankTwoTensorToSymmetricRankTwoTensor
    from = 'mechanical_strain'
    to = 'neml2_strain'
  []
  [stress]
    type = ComputeLagrangianObjectiveCustomSymmetricStress
    custom_small_stress = 'neml2_stress'
    custom_small_jacobian = 'neml2_jacobian'
  []
[]

[BCs]
  [xfix]
    type = DirichletBC
    variable = disp_x
    boundary = left
    value = 0
  []
  [yfix]
    type = DirichletBC
    variable = disp_y
    boundary = bottom
    value = 0
  []
  [zfix]
    type = DirichletBC
    variable = disp_z
    boundary = back
    value = 0
  []
  [xdisp]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = right
    function = t
    preset = false
  []
[]

[Executioner]
  type = Transient
  solve_type = NEWTON
  petsc_options_iname = '-pc_type'
  petsc_options_value = 'lu'
  automatic_scaling = true
  dt = 1e-3
  dtmin = 1e-3
  num_steps = 5
  residual_and_jacobian_together = true
[]

[Outputs]
  exodus = true
[]

(modules/contact/test/tests/pdass_problems/cylinder_friction_penalty_frictional_al_action.i)

[GlobalParams]
  volumetric_locking_correction = true
  displacements = 'disp_x disp_y'
[]

[Mesh]
  [input_file]
    type = FileMeshGenerator
    file = hertz_cyl_finer.e
  []
  allow_renumbering = false
[]

[Problem]
  type = AugmentedLagrangianContactFEProblem
  extra_tag_vectors = 'ref'
[]

[AuxVariables]
  [penalty_normal_pressure]
  []
  [penalty_frictional_pressure]
  []
  [accumulated_slip_one]
  []
  [tangential_vel_one]
  []
  [normal_gap]
  []
  [normal_lm]
  []
  [saved_x]
  []
  [saved_y]
  []
  [active]
  []
[]

[Functions]
  [disp_ramp_vert]
    type = PiecewiseLinear
    x = '0. 1. 3.5'
    y = '0. -0.020 -0.020'
  []
  [disp_ramp_horz]
    type = PiecewiseLinear
    x = '0. 1. 3.5'
    y = '0. 0.0 0.015'
  []
[]

[Physics/SolidMechanics/QuasiStatic/all]
  strain = FINITE
  add_variables = true
  save_in = 'saved_x saved_y'
  extra_vector_tags = 'ref'
  block = '1 2 3 4 5 6 7'
  generate_output = 'stress_xx stress_yy stress_xy'
[]

[AuxKernels]
  [penalty_normal_pressure]
    type = PenaltyMortarUserObjectAux
    variable = penalty_normal_pressure
    user_object = penalty_friction_object_al_friction
    contact_quantity = normal_pressure
    boundary = 3
  []
  [penalty_frictional_pressure]
    type = PenaltyMortarUserObjectAux
    variable = penalty_frictional_pressure
    user_object = penalty_friction_object_al_friction
    contact_quantity = tangential_pressure_one
    boundary = 3
  []
  [penalty_tangential_vel_one]
    type = PenaltyMortarUserObjectAux
    variable = tangential_vel_one
    user_object = penalty_friction_object_al_friction
    contact_quantity = tangential_velocity_one
    boundary = 3
  []
  [penalty_accumulated_slip_one]
    type = PenaltyMortarUserObjectAux
    variable = accumulated_slip_one
    user_object = penalty_friction_object_al_friction
    contact_quantity = accumulated_slip_one
    boundary = 3
  []
  [normal_lm]
    type = PenaltyMortarUserObjectAux
    variable = normal_lm
    user_object = penalty_friction_object_al_friction
    contact_quantity = normal_lm
    boundary = 3
  []
  [normal_gap]
    type = PenaltyMortarUserObjectAux
    variable = normal_gap
    user_object = penalty_friction_object_al_friction
    contact_quantity = normal_gap
    boundary = 3
  []
[]

[Postprocessors]
  [bot_react_x]
    type = NodalSum
    variable = saved_x
    boundary = 1
  []
  [bot_react_y]
    type = NodalSum
    variable = saved_y
    boundary = 1
  []
  [top_react_x]
    type = NodalSum
    variable = saved_x
    boundary = 4
  []
  [top_react_y]
    type = NodalSum
    variable = saved_y
    boundary = 4
  []
  [_dt]
    type = TimestepSize
  []
  [num_lin_it]
    type = NumLinearIterations
  []
  [num_nonlin_it]
    type = NumNonlinearIterations
  []
  [cumulative]
    type = CumulativeValuePostprocessor
    postprocessor = num_nonlin_it
  []
  [gap]
    type = SideExtremeValue
    value_type = min
    variable = normal_gap
    boundary = 3
  []
  [num_al]
    type = NumAugmentedLagrangeIterations
  []
  [active_set_size]
    type = NodalSum
    variable = active
  []
[]

[BCs]
  [side_x]
    type = DirichletBC
    variable = disp_y
    boundary = '1 2'
    value = 0.0
  []
  [bot_y]
    type = DirichletBC
    variable = disp_x
    boundary = '1 2'
    value = 0.0
  []
  [top_y_disp]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 4
    function = disp_ramp_vert
  []
  [top_x_disp]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 4
    function = disp_ramp_horz
  []
[]

[Materials]
  [stuff1_elas_tens]
    type = ComputeIsotropicElasticityTensor
    block = '1'
    youngs_modulus = 1e8
    poissons_ratio = 0.0
  []
  [stuff1_stress]
    type = ComputeFiniteStrainElasticStress
    block = '1'
  []
  [stuff2_elas_tens]
    type = ComputeIsotropicElasticityTensor
    block = '2 3 4 5 6 7'
    youngs_modulus = 1e6
    poissons_ratio = 0.3
  []
  [stuff2_stress]
    type = ComputeFiniteStrainElasticStress
    block = '2 3 4 5 6 7'
  []
[]

[Executioner]
  type = Transient
  solve_type = 'NEWTON'

  petsc_options = '-snes_ksp_ew'
  petsc_options_iname = -pc_type
  petsc_options_value = lu
  line_search = 'basic'

  nl_abs_tol = 1e-10
  nl_rel_tol = 1e-8
  nl_max_its = 50
  l_tol = 1e-05
  l_abs_tol = 1e-13

  start_time = 0.0
  end_time = 0.2 # 3.5
  dt = 0.1
  dtmin = 0.1

  [Predictor]
    type = SimplePredictor
    scale = 1.0
  []

  automatic_scaling = true
  compute_scaling_once = false
  off_diagonals_in_auto_scaling = true
[]

[Preconditioning]
  [SMP]
    type = SMP
    full = true
  []
[]

[VectorPostprocessors]
  [surface]
    type = NodalValueSampler
    use_displaced_mesh = false
    variable = 'disp_x disp_y penalty_normal_pressure penalty_frictional_pressure normal_gap'
    boundary = '3'
    sort_by = id
  []
[]

[Outputs]
  print_linear_residuals = true
  perf_graph = true
  exodus = true
  csv = false
  [vectorpp_output]
    type = CSV
    create_final_symlink = true
    execute_on = 'INITIAL TIMESTEP_END FINAL'
  []
[]

[Contact]
  [al_friction]
    formulation = mortar_penalty
    model = coulomb
    primary = '2'
    secondary = '3'
    penalty = 1e5
    penalty_friction = 1e8
    friction_coefficient = 0.4
    al_penetration_tolerance = 1e-7
    al_incremental_slip_tolerance = 1.0 # Not active
    penalty_multiplier = 100
    penalty_multiplier_friction = 1
  []
[]

(modules/navier_stokes/test/tests/finite_element/ins/RZ_cone/RZ_cone_high_reynolds.i)

[GlobalParams]
  gravity = '0 0 0'
  laplace = true
  transient_term = false
  supg = true
  pspg = true
  family = LAGRANGE
  order = FIRST
[]

[Mesh]
  file = 'cone_linear_alltri.e'
[]

[Problem]
  coord_type = RZ
[]

[Preconditioning]
  [./SMP_PJFNK]
    type = SMP
    full = true
    solve_type = NEWTON
  [../]
[]

[Executioner]
  # type = Transient
  # dt = 0.005
  # dtmin = 0.005
  # num_steps = 5
  # l_max_its = 100

  # Block Jacobi works well for this problem, as does "-pc_type asm
  # -pc_asm_overlap 2", but an overlap of 1 does not work for some
  # reason?
  # petsc_options_iname = '-pc_type -sub_pc_type -sub_pc_factor_levels'
  # petsc_options_value = 'bjacobi  ilu          4'

  # Note: The Steady executioner can be used for this problem, if you
  # drop the INSMomentumTimeDerivative kernels and use the following
  # direct solver options.
  type = Steady
  petsc_options_iname = '-pc_type -pc_factor_shift_type'
  petsc_options_value = 'lu NONZERO'

  nl_rel_tol = 1e-12
  nl_max_its = 20
[]

[Outputs]
  console = true
  [./out]
    type = Exodus
  [../]
[]

[Variables]
  [./vel_x]
    # Velocity in radial (r) direction
  [../]
  [./vel_y]
    # Velocity in axial (z) direction
  [../]
  [./p]
    order = FIRST
  [../]
[]

[BCs]
  [./u_in]
    type = DirichletBC
    boundary = bottom
    variable = vel_x
    value = 0
  [../]
  [./v_in]
    type = FunctionDirichletBC
    boundary = bottom
    variable = vel_y
    function = 'inlet_func'
  [../]
  [./u_axis_and_walls]
    type = DirichletBC
    boundary = 'left right'
    variable = vel_x
    value = 0
  [../]
  [./v_no_slip]
    type = DirichletBC
    boundary = 'right'
    variable = vel_y
    value = 0
  [../]
[]


[Kernels]
  # [./x_momentum_time]
  #   type = INSMomentumTimeDerivative
  #   variable = vel_x
  # [../]
  # [./y_momentum_time]
  #   type = INSMomentumTimeDerivative
  #   variable = vel_y
  # [../]
  [./mass]
    type = INSMassRZ
    variable = p
    u = vel_x
    v = vel_y
    pressure = p
  [../]
  [./x_momentum_space]
    type = INSMomentumLaplaceFormRZ
    variable = vel_x
    u = vel_x
    v = vel_y
    pressure = p
    component = 0
  [../]
  [./y_momentum_space]
    type = INSMomentumLaplaceFormRZ
    variable = vel_y
    u = vel_x
    v = vel_y
    pressure = p
    component = 1
  [../]
[]

[Materials]
  [./const]
    type = GenericConstantMaterial
    block = 1
    prop_names = 'rho mu'
    prop_values = '1  1e-3'
  [../]
[]

[Functions]
  [./inlet_func]
    type = ParsedFunction
    expression = '-4 * x^2 + 1'
  [../]
[]

[Postprocessors]
  [./flow_in]
    type = VolumetricFlowRate
    vel_x = vel_x
    vel_y = vel_y
    boundary = 'bottom'
    outputs = 'console'    execute_on = 'timestep_end'
  [../]
  [./flow_out]
    type = VolumetricFlowRate
    vel_x = vel_x
    vel_y = vel_y
    boundary = 'top'
    outputs = 'console'    execute_on = 'timestep_end'
  [../]
[]

(test/tests/outputs/variables/show_single_vars.i)

[Mesh]
  type = GeneratedMesh
  dim = 2
  xmin = 0
  xmax = 1
  ymin = 0
  ymax = 1
  nx = 10
  ny = 10
  elem_type = QUAD4
  # This test uses ElementalVariableValue postprocessors on specific
  # elements, so element numbering needs to stay unchanged
  allow_renumbering = false
[]

[Functions]
  [./ffn]
    type = ParsedFunction
    expression = -4
  [../]

  [./exactfn]
    type = ParsedFunction
    expression = x*x+y*y
  [../]

  [./aux_exact_fn]
    type = ParsedFunction
    expression = t*(x*x+y*y)
  [../]
[]

[Variables]
  [./u]
    order = FIRST
    family = LAGRANGE
  [../]
[]

[Kernels]
  [./td]
    type = TimeDerivative
    variable = u
  [../]

  [./diff]
    type = Diffusion
    variable = u
  [../]

  [./force]
    type = BodyForce
    variable = u
    function = ffn
  [../]
[]

[AuxVariables]
  [./aux_u]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]

[AuxKernels]
  [./a]
    type = FunctionAux
    variable = aux_u
    function = aux_exact_fn
  [../]
[]

[BCs]
  [./left]
    type = FunctionDirichletBC
    variable = u
    boundary = '0 1 2 3'
    function = exactfn
  [../]
[]

[Postprocessors]
  [./elem_56]
    type = ElementalVariableValue
    variable = u
    elementid = 56
  [../]

  [./aux_elem_99]
    type = ElementalVariableValue
    variable = aux_u
    elementid = 99
  [../]
[]

[Executioner]
  type = Transient
  solve_type = 'PJFNK'
  dt = 0.01
  start_time = 0
  num_steps = 1
[]

[Outputs]
  exodus = true
  show = 'aux_u'
[]

(modules/solid_mechanics/test/tests/capped_mohr_coulomb/small_deform5.i)

# Using CappedMohrCoulomb with tensile failure only
# A single element is incrementally stretched in the in the z and x directions
# This causes the return direction to be along the hypersurface sigma_III = 0
# and the resulting stresses are checked to lie on the expected yield surface

[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]


[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]

[Physics/SolidMechanics/QuasiStatic]
  [./all]
    add_variables = true
    strain = finite
    incremental = true
    generate_output = 'max_principal_stress mid_principal_stress min_principal_stress stress_xx stress_xy stress_xz stress_yy stress_yz stress_zz'
  [../]
[]

[BCs]
  [./x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'front back'
    function = '4*x*t'
  [../]
  [./y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'front back'
    function = '0'
  [../]
  [./z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'front back'
    function = 'z*(t-0.5)'
  [../]
[]

[AuxVariables]
  [./stress_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./yield_fcn]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]

[AuxKernels]
  [./stress_xx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xx
    index_i = 0
    index_j = 0
  [../]
  [./stress_xy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xy
    index_i = 0
    index_j = 1
  [../]
  [./stress_xz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xz
    index_i = 0
    index_j = 2
  [../]
  [./stress_yy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yy
    index_i = 1
    index_j = 1
  [../]
  [./stress_yz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yz
    index_i = 1
    index_j = 2
  [../]
  [./stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zz
    index_i = 2
    index_j = 2
  [../]
  [./yield_fcn_auxk]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 0
    variable = yield_fcn
  [../]
[]

[Postprocessors]
  [./s_I]
    type = PointValue
    point = '0 0 0'
    variable = max_principal_stress
  [../]
  [./s_II]
    type = PointValue
    point = '0 0 0'
    variable = mid_principal_stress
  [../]
  [./s_III]
    type = PointValue
    point = '0 0 0'
    variable = min_principal_stress
  [../]
  [./f]
    type = PointValue
    point = '0 0 0'
    variable = yield_fcn
  [../]
[]

[UserObjects]
  [./ts]
    type = SolidMechanicsHardeningConstant
    value = 1
  [../]
  [./cs]
    type = SolidMechanicsHardeningConstant
    value = 1E6
  [../]
  [./coh]
    type = SolidMechanicsHardeningConstant
    value = 1E6
  [../]
  [./ang]
    type = SolidMechanicsHardeningConstant
    value = 0.5
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    fill_method = symmetric_isotropic
    C_ijkl = '0 2.0'
  [../]
  [./tensile]
    type = CappedMohrCoulombStressUpdate
    tensile_strength = ts
    compressive_strength = cs
    cohesion = coh
    friction_angle = ang
    dilation_angle = ang
    smoothing_tol = 0.5
    yield_function_tol = 1.0E-12
  [../]
  [./stress]
    type = ComputeMultipleInelasticStress
    inelastic_models = tensile
    perform_finite_strain_rotations = false
  [../]
[]


[Executioner]
  end_time = 1
  dt = 0.1
  type = Transient
[]


[Outputs]
  file_base = small_deform5
  csv = true
[]

(modules/contact/test/tests/hertz_spherical/hertz_contact_hex27.i)

# Hertz Contact: Sphere on sphere

# Spheres have the same radius, Young's modulus, and Poisson's ratio.

# Define E:
# 1/E = (1-nu1^2)/E1 + (1-nu2^2)/E2
#
# Effective radius R:
# 1/R = 1/R1 + 1/R2
#
# F is the applied compressive load.
#
# Area of contact a::
# a^3 = 3FR/4E
#
# Depth of indentation d:
# d = a^2/R
#
#
# Let R1 = R2 = 2.  Then R = 1.
#
# Let nu1 = nu2 = 0.25, E1 = E2 = 1.40625e7.  Then E = 7.5e6.
#
# Let F = 10000.  Then a = 0.1, d = 0.01.
#

[GlobalParams]
  volumetric_locking_correction = false
  displacements = 'disp_x disp_y disp_z'
[]

[Mesh]#Comment
  file = hertz_contact_hex27.e
  allow_renumbering = false
[] # Mesh

[Functions]
  [./pressure]
    type = PiecewiseLinear
    x = '0. 1. 2.'
    y = '0. 1. 1.'
    scale_factor = 795.77471545947674 # 10000/pi/2^2
  [../]
  [./disp_y]
    type = PiecewiseLinear
    x = '0.  1.    2.'
    y = '0. -0.01 -0.01'
  [../]
[] # Functions

[Variables]

  [./disp_x]
    order = SECOND
    family = LAGRANGE
  [../]

  [./disp_y]
    order = SECOND
    family = LAGRANGE
  [../]

  [./disp_z]
    order = SECOND
    family = LAGRANGE
  [../]

[] # Variables

[AuxVariables]

  [./stress_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_zx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./vonmises]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./hydrostatic]
    order = CONSTANT
    family = MONOMIAL
  [../]

[] # AuxVariables

[Physics/SolidMechanics/QuasiStatic]
  [./all]
    add_variables = true
    strain = SMALL
  #  extra_vector_tags = 'ref'
  [../]
[]
[AuxKernels]

  [./stress_xx]
    type = RankTwoAux
    rank_two_tensor = stress
    index_i = 0
    index_j = 0
    variable = stress_xx
  [../]
  [./stress_yy]
    type = RankTwoAux
    rank_two_tensor = stress
    index_i = 1
    index_j = 1
    variable = stress_yy
  [../]
  [./stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    index_i = 2
    index_j = 2
    variable = stress_zz
  [../]
  [./stress_xy]
    type = RankTwoAux
    rank_two_tensor = stress
    index_i = 0
    index_j = 1
    variable = stress_xy
  [../]
  [./stress_yz]
    type = RankTwoAux
    rank_two_tensor = stress
    index_i = 1
    index_j = 2
    variable = stress_yz
  [../]
  [./stress_zx]
    type = RankTwoAux
    rank_two_tensor = stress
    index_i = 2
    index_j = 0
    variable = stress_zx
  [../]
[] # AuxKernels

[BCs]

  [./base_x]
    type = DirichletBC
    variable = disp_x
    boundary = 1000
    value = 0.0
  [../]
  [./base_y]
    type = DirichletBC
    variable = disp_y
    boundary = 1000
    value = 0.0
  [../]
  [./base_z]
    type = DirichletBC
    variable = disp_z
    boundary = 1000
    value = 0.0
  [../]

  [./symm_x]
    type = DirichletBC
    variable = disp_x
    boundary = 1
    value = 0.0
  [../]
  [./symm_z]
    type = DirichletBC
    variable = disp_z
    boundary = 3
    value = 0.0
  [../]
  [./disp_y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 2
    function = disp_y
  [../]

[] # BCs

[Contact]
  [./dummy_name]
    primary = 1000
    secondary = 100

    normalize_penalty = true
    tangential_tolerance = 1e-3
    penalty = 1e+10
  [../]
[]

[Materials]
  [./tensor]
    type = ComputeIsotropicElasticityTensor
    block = '1'
    youngs_modulus = 1.40625e7
    poissons_ratio = 0.25
  [../]
  [./stress]
    type = ComputeLinearElasticStress
    block = '1'
  [../]

  [./tensor_1000]
    type = ComputeIsotropicElasticityTensor
    block = '1000'
    youngs_modulus = 1e6
    poissons_ratio = 0.0
  [../]
  [./stress_1000]
    type = ComputeLinearElasticStress
    block = '1000'
  [../]

[] # Materials

[Preconditioning]
  [./SMP]
    type = SMP
    full = true
  []
[]

[Executioner]

  type = Transient

  solve_type = 'PJFNK'

  petsc_options_iname = '-pc_type -pc_factor_mat_solver_type'
  petsc_options_value = 'lu     superlu_dist'

  line_search = 'none'

  nl_abs_tol = 1e-7
  l_max_its = 10
  start_time = 0.0
  dt = 0.5
  end_time = 0.5 # was 2.0

  [./Quadrature]
    order = FIFTH
  [../]

[] # Executioner

[Postprocessors]
  [./maxdisp]
    type = NodalVariableValue
    nodeid = 386 # 387-1 where 387 is the exodus node number of the top-center node
    variable = disp_y
  [../]
[]

[Outputs]
  [./out]
    type = Exodus
    elemental_as_nodal = true
  [../]
[] # Outputs

(modules/thermal_hydraulics/test/tests/components/form_loss_from_external_app_1phase/phy.form_loss_1phase.parent.i)

# This tests a form loss transfer using the MultiApp system.  A dummy heat
# conduction problem is solved, then the form loss evaluated and transferred
# to the child app side of the solve, then the child app solves and then the
# parent continues solving

[Mesh]
  type = GeneratedMesh
  dim = 1
  xmax = 2
  nx = 10
[]

[Functions]
  [left_bc_fn]
    type = PiecewiseLinear
    x = '0   1'
    y = '300 310'
  []

  [K_prime_fn]
    type = ParsedFunction
    expression = 't*(2-x)*x'
  []
[]

[AuxVariables]
  [K_prime]
  []
[]

[AuxKernels]
  [K_prime_ak]
    type = FunctionAux
    variable = K_prime
    function = K_prime_fn
  []
[]

[Variables]
  [T]
  []
[]

[ICs]
  [T_ic]
    type = ConstantIC
    variable = T
    value = 300
  []
[]

[Kernels]
  [td]
    type = TimeDerivative
    variable = T
  []

  [diff]
    type = Diffusion
    variable = T
  []
[]

[BCs]
  [left]
    type = FunctionDirichletBC
    variable = T
    boundary = left
    function = left_bc_fn
  []
[]

[Executioner]
  type = Transient
  dt = 0.5
  end_time = 5
  nl_abs_tol = 1e-10
  abort_on_solve_fail = true
[]

[MultiApps]
  [child]
    type = TransientMultiApp
    app_type = ThermalHydraulicsApp
    input_files = phy.form_loss_1phase.child.i
    execute_on = 'timestep_end'
  []
[]

[Transfers]
  [K_to_s]
    type = MultiAppGeneralFieldNearestLocationTransfer
    to_multi_app = child
    source_variable = K_prime
    variable = K_prime
  []
[]

(modules/contact/test/tests/cohesive_zone_model/bilinear_mixed_mortar_only_czm.i)

[Mesh]
  [base]
    type = GeneratedMeshGenerator
    dim = 2
    xmax = 1.1
    ymax = 1
    xmin = -0.1
    nx = 1
    ny = 1
  []
  [rename_base]
    type = RenameBoundaryGenerator
    input = base
    old_boundary = 'top bottom left right'
    new_boundary = 'top_base bottom_base left_base right_base'
  []
  [base_id]
    type = SubdomainIDGenerator
    input = rename_base
    subdomain_id = 1
  []

  [top]
    type = GeneratedMeshGenerator
    dim = 2
    xmax = 1
    ymin = 1
    ymax = 2
    nx = 1
    ny = 1
  []
  [rename_top]
    type = RenameBoundaryGenerator
    input = top
    old_boundary = 'top bottom left right'
    new_boundary = '100 101 102 103'
  []
  [top_id]
    type = SubdomainIDGenerator
    input = rename_top
    subdomain_id = 2
  []
  [combined]
    type = MeshCollectionGenerator
    inputs = 'base_id top_id'
  []
  [top_node]
    type = ExtraNodesetGenerator
    coord = '0 2 0'
    input = combined
    new_boundary = top_node
  []
  [bottom_node]
    type = ExtraNodesetGenerator
    coord = '-0.1 0 0'
    input = top_node
    new_boundary = bottom_node
  []

  [secondary]
    type = LowerDBlockFromSidesetGenerator
    new_block_id = 10001
    new_block_name = 'secondary_lower'
    sidesets = 'top_base'
    input = bottom_node
  []
  [primary]
    type = LowerDBlockFromSidesetGenerator
    new_block_id = 10000
    sidesets = '101'
    new_block_name = 'primary_lower'
    input = secondary
  []

  patch_update_strategy = auto
  patch_size = 20
  allow_renumbering = false
[]

[GlobalParams]
  displacements = 'disp_x disp_y'
[]

[Physics]
  [SolidMechanics]
    [QuasiStatic]
      generate_output = 'stress_yy'
      [all]
        strain = FINITE
        add_variables = true
        use_automatic_differentiation = true
        decomposition_method = TaylorExpansion
        generate_output = 'vonmises_stress'
        block = '1 2'
      []
    []
  []
[]

[BCs]
  [fix_x]
    type = DirichletBC
    preset = true
    value = 0.0
    boundary = bottom_node
    variable = disp_x
  []

  [fix_top]
    type = DirichletBC
    preset = true
    boundary = 100
    variable = disp_x
    value = 0
  []

  [top]
    type = FunctionDirichletBC
    boundary = 100
    variable = disp_y
    function = 'if(t<=0.3,t,if(t<=0.6,0.3-(t-0.3),0.6-t))'
    preset = true
  []

  [bottom]
    type = DirichletBC
    boundary = bottom_base
    variable = disp_y
    value = 0
    preset = true
  []
[]

[Materials]
  [normal_strength]
    type = GenericConstantMaterial
    prop_names = 'normal_strength'
    prop_values = '1e3'
  []
  [shear_strength]
    type = GenericConstantMaterial
    prop_names = 'shear_strength'
    prop_values = '7.5e2'
  []
  [stress]
    type = ADComputeFiniteStrainElasticStress
    block = '1 2'
  []
  [elasticity_tensor]
    type = ADComputeElasticityTensor
    fill_method = symmetric9
    C_ijkl = '1.684e5 0.176e5 0.176e5 1.684e5 0.176e5 1.684e5 0.754e5 0.754e5 0.754e5'
    block = '1 2'
  []
[]

[Preconditioning]
  [smp]
    type = SMP
    full = true
  []
[]

[Executioner]
  type = Transient

  solve_type = 'PJFNK'
  line_search = none

  petsc_options_iname = '-pc_type'
  petsc_options_value = 'lu'

  automatic_scaling = true
  compute_scaling_once = false
  off_diagonals_in_auto_scaling = true

  l_max_its = 2
  l_tol = 1e-14
  nl_max_its = 150
  nl_rel_tol = 1e-14
  nl_abs_tol = 1e-12
  start_time = 0.0
  dt = 0.1
  end_time = 1.0
  dtmin = 0.1
[]

[Outputs]
  exodus = true
[]

[UserObjects]
  [czm_uo]
    type = BilinearMixedModeCohesiveZoneModel
    primary_boundary = 101
    secondary_boundary = 'top_base'
    primary_subdomain = 10000
    secondary_subdomain = 10001

    correct_edge_dropping = true

    disp_x = disp_x
    disp_y = disp_y
    friction_coefficient = 0.0 # with 2.0 works
    secondary_variable = disp_x
    penalty = 0e6
    penalty_friction = 0e4
    use_physical_gap = true

    # bilinear model parameters
    normal_strength = 'normal_strength'
    shear_strength = 'shear_strength'
    penalty_stiffness = 200
    power_law_parameter = 0.1
    GI_c = 123
    GII_c = 54
    displacements = 'disp_x disp_y'

  []
[]

[Constraints]
  [x]
    type = NormalMortarMechanicalContact
    primary_boundary = 101
    secondary_boundary = 'top_base'
    primary_subdomain = 10000
    secondary_subdomain = 10001
    secondary_variable = disp_x
    component = x
    use_displaced_mesh = true
    compute_lm_residuals = false
    weighted_gap_uo = czm_uo
  []
  [y]
    type = NormalMortarMechanicalContact
    primary_boundary = 101
    secondary_boundary = 'top_base'
    primary_subdomain = 10000
    secondary_subdomain = 10001
    secondary_variable = disp_y
    component = y
    use_displaced_mesh = true
    compute_lm_residuals = false
    weighted_gap_uo = czm_uo
  []
  [c_x]
    type = MortarGenericTraction
    primary_boundary = 101
    secondary_boundary = 'top_base'
    primary_subdomain = 10000
    secondary_subdomain = 10001
    secondary_variable = disp_x
    component = x
    use_displaced_mesh = true
    compute_lm_residuals = false
    cohesive_zone_uo = czm_uo
  []
  [c_y]
    type = MortarGenericTraction
    primary_boundary = 101
    secondary_boundary = 'top_base'
    primary_subdomain = 10000
    secondary_subdomain = 10001
    secondary_variable = disp_y
    component = y
    use_displaced_mesh = true
    compute_lm_residuals = false
    cohesive_zone_uo = czm_uo
  []
[]

(test/tests/utils/2d_linear_interpolation/2d_linear_interpolation_test_internal.i)

# Test description - view this file in emacs and adjust the window size to view the file as it was created.
#
# This problem tests the MOOSE function PiecewiseBilinear and the MOOSE utility BilinearInterpolation, which are
# used to solve 2D linear interpolation problems.
#
# The problem is one element with node coordinate locations in x,y,z space as indicated in the ASCII art:
#
#
#                    ^
#                    |
#                    z
#                    |
#
#                    (1,1,2)        (1,2,2)
#                    *--------------*
#                  / |            / |
#                /   |  (2,2,2) /   |
#       (2,1,2) *--------------*    |
#               |    |         |    |
#               |    *---------|----* (1,2,1)  --y-->
#               |  / (1,1,1)   |  /
#               |/             |/
#               *--------------*
#              / (2,1,1)       (2,2,1)
#            /
#          x
#        /
#      |_
#
#  problem time ...0...1...2
#
#
# There are four variables and four functions of the same name, u,v,w, and A.  The diffusion equation is solved
# for each of these variables with a boundary condition of type FunctionDirchletBC applied to a boundary
# (i.e. node set) that includes every node in the element.  Each boundary condition uses a function of type
# PiecewiseBilinear that gets its value from the specified x, y, and z values.
#
# fred is a matrix of data whose first row and first column are vectors that can refer to either spacial positions
# corresponding to an axis or values of time.  The remaining data are values of fred for a given row and column pair.
#
#
# Visualize fred like this:
#
#                          0 1 3  where fred is a csv file that actually looks like this    0,1,3
#                        0 0 0 0                                                            0,0,0,0
#                        1 0 1 3                                                            1,0,1,3
#                        3 0 5 7                                                            3,0,5,7
#
#  Another way to think of fred is:
#
#                                   |0 1 3| - These values can be spacial positions corresponding to
#                                             axis= 0,1, or 2, or time
#
#
#                           |0|     |0 0 0|
#     These values can be - |1|     |0 1 3| - values of fred corresponding to row-column pairs
#     time or spacial       |3|     |0 5 7|
#     positions corresponding
#     to axis= 0,1, or 2
#
#
# The parameters and possible values for the function PiecewiseBilinear are:
#
# x = '0 1 3'
# y = '0 1 3'
# z = '0 0 0 0 1 3 0 5 7'
# axis = 0, 1, or 2
# xaxis = 0, 1, or 2
# yaxis = 0, 1, or 2
# radial = true or false (false is default)
#
# where 0, 1, or 2 refer to the x, y, or z axis.
#
# If the parameter axis is defined, then the first row of fred are spacial position and the first column
# of fred are the values of time.
#
# If the parameter xaxis is defined, then the first row of fred are spacial positions and the first column
# of fred are the values of time ... just like defining the parameter axis.
#
# If the parameter yaxis is defined, then the first row of fred are time values and the first column of fred
# are spacial positions.
#
# If parameters axis AND EITHER xaxis or yaxis are defined together you'll get a moose error.
# i.e.
# axis = 0
# xaxis = 1
# results in an error.  So, if you use the parameter axis, don't use xaxis or yaxis.
#
# If parameters xaxis and yaxis are defined (and radial is false), then the first row of fred are spacial positions corresponding to xaxis value,
# and the first column are spacial positions corresponding to the yaxis value.
#
# If xaxis and yaxis are defined and radial is true, the first row of fred contains values
# corresponding to the radius calculated from the coordinates of each point.  Note that
# the definition of xaxis and yaxis define the "plane" of the radius.  For example,
# xaxis = 0 and yaxis = 1 means that x and y components of the point are use to
# calculate the radius.  xaxis = 1 and yaxis = 2 means that x and z components are used.
# The first column is for time in this case.  xaxis and yaxis have to be specified and
# radial = true for this to work, otherwise a MOOSE error will result.
# This was developed so that an axisymmetric function could be defined for a 3D mesh.
#
[Mesh]
  file = cube.e
  # This problem only has 1 element, so using DistributedMesh in parallel
  # isn't really an option, and we don't care that much about DistributedMesh
  # in serial.
  parallel_type = replicated
[]

[Variables]

  [./u]
    order = FIRST
    family = LAGRANGE
  [../]
  [./v]
    order = FIRST
    family = LAGRANGE
  [../]
  [./w]
    order = FIRST
    family = LAGRANGE
  [../]
  [./A]
    order = FIRST
    family = LAGRANGE
  [../]
  [./scaled_u]
    order = FIRST
    family = LAGRANGE
  [../]
  [./R]
    order = FIRST
    family = LAGRANGE
  [../]
[]

[Functions]


  [./u]
    type = PiecewiseBilinear
    x = '0 1 3'
    y = '0 1 3'
    z = '0 0 0 0 1 3 0 5 7'
    axis = 0
  [../]
#
# Example 1 - variable u
#
# In this example, the first variable is u and the parameter axis is given the value 0.  For such a case, the first
# row of fred refers to nodal x-coordinate values and the first column of fred (after the first row) refers to the
# times 0, 1, and 3.
#
# So, at time = 0, the value of u at each node is 0, because that's the value of fred for all x-coordinate values at time=0.
#
# At time = 1, the value of u at nodes with x-coordinate = 1 is 1.
#            , the value of u at nodes with x-coordinate = 2 is 2.
#
# You can check this value with your own 2D linear interpolation calculation.  Go ahead and check all the examples!
#
# At time = 2, the value of u at nodes with x-coordinate = 1 is 3.
#            , the value of u at nodes with x-coordinate = 2 is 4.
#
  [./v]
    type = PiecewiseBilinear
    x = '0 1 3'
    y = '0 1 3'
    z = '0 0 0 0 1 3 0 5 7'
    xaxis = 1
  [../]
#
# Example 2 - variable v
#
# In this example, the variable is v and the parameter xaxis is given the value 1.  For such a case, the first
# row of fred refers to nodal y-coordinate values and the first column of fred (after the first row) refers to the
# times 0, 1, and 3.
#
# At time = 0, the value of v at each node is 0, because that's the value of fred for all y-coordinate values at time=0.
#
# At time = 1, the value of v at nodes with y-coordinate = 1 is 1.
#            , the value of v at nodes with y-coordinate = 2 is 2.
#
# At time = 2, the value of v at nodes with y-coordinate = 1 is 3.
#            , the value of v at nodes with y-coordinate = 2 is 4.
#
  [./w]
    type = PiecewiseBilinear
    x = '0 1 3'
    y = '0 1 3'
    z = '0 0 0 0 1 3 0 5 7'
    yaxis = 2
  [../]
#
# Example 3 - variable w
#
# In this example, the variable is w and the parameter yaxis is given the value 2.  For such a case, the first
# row of fred refers to times 0, 1, and 3.  The first column of fred (after the first row) refers to the nodal
# z-coordinate values.
#
# At time = 0, the value of w at each node is 0, because that's the value of fred for all z-coordinate values at time=0.
#
# At time = 1, the value of w at nodes with z-coordinate = 1 is 1.
#            , the value of w at nodes with z-coordinate = 2 is 3.
#
# At time = 2, the value of w at nodes with z-coordinate = 1 is 2.
#            , the value of w at nodes with z-coordinate = 2 is 4.
#
  [./A]
    type = PiecewiseBilinear
    x = '0 1 3'
    y = '0 1 3'
    z = '0 0 0 0 1 3 0 5 7'
    xaxis = 0
    yaxis = 1
  [../]
#
# Example 4 - variable A
#
# In this example, the variable is A and the parameters xaxis AND yaxis BOTH defined and given the values 0 and 1 respectivley.
# For such a case, the first row of fred refers to nodal x-coordinate values.
# The first column refers to nodal y-coordinate values.
#
# In this example the values are the same for every time (except time=0 where the values are undefined)
#
# For nodal coordinates with x=1, y=1 A = 1
#                            x=2, y=1 A = 2
#                            x=1, y=2 A = 3
#                            x=2, y=2 A = 4
#
# You can use this 2D linear interpolation function for anything (BC, Kernel, AuxKernel, Material) that has
# a function as one of its parameters.  For example, this can be used to describe the fission peaking factors
# that vary in time and along the length of a fuel rod, or a fission rate distribution in metal fuel that varies
# as a function of x and y postion, but is constant in time.
#
#
  [./scaled_u]
    type = PiecewiseBilinear
    x = '0 1 3'
    y = '0 1 3'
    z = '0 0 0 0 1 3 0 5 7'
    axis = 0
    scale_factor = 2
  [../]
#
# Example 5 - variable scaled_u.  This is just a scaled version of Example 1 to see if the scale_factor works
#
#
#
  [./R]
    type = PiecewiseBilinear
    x = '0 1 3'
    y = '0 1 3'
    z = '0 0 0 0 1 3 0 5 7'
    xaxis = 0
    yaxis = 1
    radial = true
  [../]
#
# Example 6 - variable R
#
# In this example, the variable is R and the parameters xaxis and yaxis are defined and
# given the values 0 and 1 respectivley.  The parameter radial is also defined and given
# the value true.  In this case, the x and y components of each point are used to
# calculate a radius.  This radius is used in the call to BilinearInterpolation.
# In fred.csv, the first row are the radius values.  The first column is time.
#
# At time = 1, the value of R at nodes with coordinates (x = 1, y = 1, or r = 1.414) is 1.414.
#            , the value of R at nodes with coordinates (x = 1, y = 2, or r = 2.236) is 2.236.
#            , the value of R at nodes with coordinates (x = 2, y = 2, or r = 2.828) is 2.828.
#
# At time = 2, the value of R at nodes with coordinates (x = 1, y = 1, or r = 1.414) is 3.414.
#            , the value of R at nodes with coordinates (x = 1, y = 2, or r = 2.236) is 4.236.
#            , the value of R at nodes with coordinates (x = 2, y = 2, or r = 2.828) is 4.828.
#
# Note that the case of x = 2, y = 1 gives the same result as x = 1, y=2.
#
#
[] # End Functions

[Kernels]

  [./diffu]
    type = Diffusion
    variable = u
  [../]
  [./diffv]
    type = Diffusion
    variable = v
  [../]
  [./diffw]
    type = Diffusion
    variable = w
  [../]
  [./diffA]
    type = Diffusion
    variable = A
  [../]
  [./diff_scaled_u]
    type = Diffusion
    variable = scaled_u
  [../]
  [./diffR]
    type = Diffusion
    variable = R
  [../]
[]

[BCs]

  [./u]
    type = FunctionDirichletBC
    variable = u
    boundary = '1'
    function = u
  [../]
  [./v]
    type = FunctionDirichletBC
    variable = v
    boundary = '1'
    function = v
  [../]
  [./w]
    type = FunctionDirichletBC
    variable = w
    boundary = '1'
    function = w
  [../]
  [./A]
    type = FunctionDirichletBC
    variable = A
    boundary = '1'
    function = A
  [../]
  [./scaled_u]
    type = FunctionDirichletBC
    variable = scaled_u
    boundary = '1'
    function = scaled_u
  [../]
  [./R]
    type = FunctionDirichletBC
    variable = R
    boundary = '1'
    function = R
  [../]
[]

[Executioner]
  type = Transient
  dt = 1
  end_time = 2
  nl_rel_tol = 1e-12
[]

[Outputs]
  file_base = out
  exodus = true
[]

(tutorials/darcy_thermo_mech/step10_multiapps/problems/step10.i)

[GlobalParams]
  displacements = 'disp_r disp_z'
[]

[Mesh]
  [gmg]
    type = GeneratedMeshGenerator
    dim = 2
    nx = 10
    ny = 100
    ymax = 0.304 # Length of test chamber
    xmax = 0.0257 # Test chamber radius
  []
[]

[Variables]
  [pressure]
  []
  [temperature]
    initial_condition = 300 # Start at room temperature
  []
[]

[Physics/SolidMechanics/QuasiStatic]
  [all]
    # This block adds all of the proper Kernels, strain calculators, and Variables
    # for SolidMechanics in the correct coordinate system (autodetected)
    add_variables = true
    strain = FINITE
    eigenstrain_names = eigenstrain
    use_automatic_differentiation = true
    generate_output = 'vonmises_stress elastic_strain_xx elastic_strain_yy strain_xx strain_yy'
  []
[]

[Kernels]
  [darcy_pressure]
    type = DarcyPressure
    variable = pressure
  []
  [heat_conduction]
    type = ADHeatConduction
    variable = temperature
  []
  [heat_conduction_time_derivative]
    type = ADHeatConductionTimeDerivative
    variable = temperature
  []
  [heat_convection]
    type = DarcyAdvection
    variable = temperature
    pressure = pressure
  []
[]

[BCs]
  [inlet_temperature]
    type = FunctionDirichletBC
    variable = temperature
    boundary = bottom
    function = 'if(t<0,350+50*t,350)'
  []
  [outlet_temperature]
    type = HeatConductionOutflow
    variable = temperature
    boundary = top
  []
  [inlet]
    type = DirichletBC
    variable = pressure
    boundary = bottom
    value = 4000 # (Pa) From Figure 2 from paper.  First data point for 1mm spheres.
  []
  [outlet]
    type = DirichletBC
    variable = pressure
    boundary = top
    value = 0 # (Pa) Gives the correct pressure drop from Figure 2 for 1mm spheres
  []
  [hold_inlet]
    type = DirichletBC
    variable = disp_z
    boundary = bottom
    value = 0
  []
  [hold_center]
    type = DirichletBC
    variable = disp_r
    boundary = left
    value = 0
  []
  [hold_outside]
    type = DirichletBC
    variable = disp_r
    boundary = right
    value = 0
  []
[]

[Materials]
  viscosity_file = data/water_viscosity.csv
  density_file = data/water_density.csv
  specific_heat_file = data/water_specific_heat.csv
  thermal_expansion_file = data/water_thermal_expansion.csv
  [column]
    type = PackedColumn
    temperature = temperature
    radius = 1
    thermal_conductivity = k_eff # Use the AuxVariable instead of calculating
    fluid_viscosity_file = ${viscosity_file}
    fluid_density_file = ${density_file}
    fluid_specific_heat_file = ${specific_heat_file}
    fluid_thermal_expansion_file = ${thermal_expansion_file}
  []

  [elasticity_tensor]
    type = ADComputeIsotropicElasticityTensor
    youngs_modulus = 200e9 # (Pa) from wikipedia
    poissons_ratio = .3 # from wikipedia
  []
  [elastic_stress]
    type = ADComputeFiniteStrainElasticStress
  []
  [thermal_strain]
    type = ADComputeThermalExpansionEigenstrain
    stress_free_temperature = 300
    eigenstrain_name = eigenstrain
    temperature = temperature
    thermal_expansion_coeff = 1e-6
  []
[]

[Postprocessors/average_temperature]
  type = ElementAverageValue
  variable = temperature
[]

[AuxVariables/velocity]
  order = CONSTANT
  family = MONOMIAL_VEC
[]
[AuxVariables/k_eff] # filled from the multiapp
  initial_condition = 15.0 # water at 20C
[]

[AuxKernels/velocity]
  type = DarcyVelocity
  variable = velocity
  execute_on = timestep_end
  pressure = pressure
[]

[Problem]
  type = FEProblem
[]

[Executioner]
  type = Transient
  end_time = 200
  dt = 0.25
  start_time = -1

  solve_type = PJFNK
  petsc_options_iname = '-pc_type -pc_hypre_type -ksp_gmres_restart'
  petsc_options_value = 'hypre boomeramg 500'
  line_search = none

  automatic_scaling = true
  compute_scaling_once = false
  steady_state_tolerance = 1e-7
  steady_state_detection = true

  [TimeStepper]
    type = FunctionDT
    function = 'if(t<0,0.1,0.25)'
  []
[]

[MultiApps/micro]
  type = TransientMultiApp
  app_type = DarcyThermoMechApp
  positions = '0.01285 0.0    0
                0.01285 0.0608 0
                0.01285 0.1216 0
                0.01285 0.1824 0
                0.01285 0.2432 0
                0.01285 0.304  0'
  input_files = step10_micro.i
  execute_on = 'timestep_end'
[]

[Transfers]
  [keff_from_sub]
    type = MultiAppPostprocessorInterpolationTransfer
    from_multi_app = micro
    variable = k_eff
    power = 1
    postprocessor = k_eff
    execute_on = 'timestep_end'
  []
  [temperature_to_sub]
    type = MultiAppVariableValueSamplePostprocessorTransfer
    to_multi_app = micro
    source_variable = temperature
    postprocessor = temperature_in
    execute_on = 'timestep_end'
  []
[]

[Controls/multiapp]
  type = TimePeriod
  disable_objects = 'MultiApps::micro Transfers::keff_from_sub Transfers::temperature_to_sub'
  start_time = '0'
  execute_on = 'initial'
[]

[Outputs/out]
  type = Exodus
  elemental_as_nodal = true
[]

(modules/xfem/test/tests/moving_interface/verification/2D_rz_homog1mat.i)

# ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ #
# XFEM Moving Interface Verification Problem
# Dimensionality:                                         2D
# Coordinate System:                                      rz
# Material Numbers/Types:   homogeneous 1 material, 2 region
# Element Order:                                         1st
# Interface Characteristics: u independent, prescribed level set function
# Description:
#   Transient 2D heat transfer problem in cylindrical coordinates designed with
#   the Method of Manufactured Solutions. This problem was developed to verify
#   XFEM performance on linear elements in the presence of a moving interface
#   sweeping across the x-y coordinates of a system with homogeneous material
#   properties. This problem can be exactly evaluated by FEM/Moose without the
#   moving interface. Both the temperature and level set function are designed
#   to be linear to attempt to minimize error between the Moose/exact solution
#   and XFEM results.
# Results:
#   The temperature at the bottom left boundary (x=1, y=1) exhibits the largest
#   difference between the FEM/Moose solution and XFEM results. We present the
#   XFEM results at this location with 10 digits of precision:
#     Time    Expected Temperature    XFEM Calculated Temperature
#      0.2                  440         440
#      0.4                  480         479.9998745
#      0.6                  520         519.9995067
#      0.8                  560         559.9989409
#      1.0                  600         599.9987054
# ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ #

[GlobalParams]
  order = FIRST
  family = LAGRANGE
[]

[Problem]
  coord_type = RZ
[]

[Mesh]
  type = GeneratedMesh
  dim = 2
  nx = 4
  ny = 4
  xmin = 1.0
  xmax = 2.0
  ymin = 1.0
  ymax = 2.0
  elem_type = QUAD4
[]

[XFEM]
  qrule = moment_fitting
  output_cut_plane = true
[]

[UserObjects]
  [./level_set_cut_uo]
    type = LevelSetCutUserObject
    level_set_var = ls
    heal_always = true
  [../]
[]

[Variables]
  [./u]
  [../]
[]

[AuxVariables]
  [./ls]
    order = FIRST
    family = LAGRANGE
  [../]
[]

[Kernels]
  [./heat_cond]
    type = MatDiffusion
    variable = u
    diffusivity = diffusion_coefficient
  [../]
  [./vol_heat_src]
    type = BodyForce
    variable = u
    function = src_func
  [../]
  [./mat_time_deriv]
    type = TestMatTimeDerivative
    variable = u
    mat_prop_value = rhoCp
  [../]
[]

[AuxKernels]
  [./ls_function]
    type = FunctionAux
    variable = ls
    function = ls_func
  [../]
[]

[Constraints]
  [./xfem_constraints]
    type = XFEMSingleVariableConstraint
    variable = u
    geometric_cut_userobject = 'level_set_cut_uo'
    use_penalty = true
    alpha = 1e5
  [../]
[]

[Functions]
  [./src_func]
    type = ParsedFunction
    expression = '10*(-100*x-100*y+400) + 100*1.5*t/x'
  [../]
  [./neumann_func]
    type = ParsedFunction
    expression = '1.5*100*t'
  [../]
  [./dirichlet_right_func]
    type = ParsedFunction
    expression = '(-100*y+200)*t+400'
  [../]
  [./dirichlet_top_func]
    type = ParsedFunction
    expression = '(-100*x+200)*t+400'
  [../]
  [./ls_func]
    type = ParsedFunction
    expression = '-0.5*(x+y) + 2.04 - 0.2*t'
  [../]
[]

[Materials]
  [./mat_time_deriv_prop]
    type = GenericConstantMaterial
    prop_names = 'rhoCp'
    prop_values = 10
  [../]
  [./therm_cond_prop]
    type = GenericConstantMaterial
    prop_names = 'diffusion_coefficient'
    prop_values = 1.5
  [../]
[]

[BCs]
  [./left_du]
    type = FunctionNeumannBC
    variable = u
    boundary = 'left'
    function = neumann_func
  [../]
  [./right_u]
    type = FunctionDirichletBC
    variable = u
    boundary = 'right'
    function = dirichlet_right_func
  [../]
  [./bottom_du]
    type = FunctionNeumannBC
    variable = u
    boundary = 'bottom'
    function = neumann_func
  [../]
  [./top_u]
    type = FunctionDirichletBC
    variable = u
    boundary = 'top'
    function = dirichlet_top_func
  [../]
[]

[ICs]
  [./u_ic]
    type = ConstantIC
    value = 400
    variable = u
  [../]
[]

[Executioner]
  type = Transient
  solve_type = 'PJFNK'
  line_search = 'none'

  l_tol = 1.0e-6
  nl_max_its = 15
  nl_rel_tol = 1.0e-10
  nl_abs_tol = 1.0e-9

  start_time = 0.0
  dt = 0.2
  end_time = 1.0
  max_xfem_update = 1
[]

[Outputs]
  time_step_interval = 1
  execute_on = 'initial timestep_end'
  exodus = true
  [./console]
    type = Console
    output_linear = true
  [../]
[]

(modules/contact/test/tests/multiple_contact_pairs/multiple_pairs.i)

starting_point = 2e-1
offset = 1e-2

[GlobalParams]
  displacements = 'disp_x disp_y'
[]

[Mesh]
  file = multiple_pairs.e
[]

[Physics/SolidMechanics/QuasiStatic]
  [all]
    add_variables = true
    strain = FINITE
    generate_output = 'stress_xx'
  []
[]

[Materials]
  [stiffStuff]
    type = ComputeIsotropicElasticityTensor
    block = '1 2 3'
    youngs_modulus = 1e6
    poissons_ratio = 0.3
  []
  [stiffStuff_stress]
    type = ComputeFiniteStrainElasticStress
    block = '1 2 3'
  []
[]

[ICs]
  [disp_y]
    block = '2 3'
    variable = disp_y
    value = '${fparse starting_point + offset}'
    type = ConstantIC
  []
[]

[Contact]
  [action_name]
    primary = '20 20'
    secondary = '10 101'
    penalty = 1e7
    formulation = penalty
    tangential_tolerance = 0.0001
  []
[]

[BCs]
  [botx]
    type = DirichletBC
    variable = disp_x
    preset = false
    boundary = 40
    value = 0.0
  []
  [boty]
    type = DirichletBC
    variable = disp_y
    preset = false
    boundary = 40
    value = 0.0
  []
  [topy]
    type = FunctionDirichletBC
    variable = disp_y
    preset = false
    boundary = '30 301'
    function = '${starting_point} * cos(2 * pi / 40 * t) + ${offset}'
  []
  [leftx]
    type = FunctionDirichletBC
    variable = disp_x
    preset = false
    boundary = '50 501'
    function = '1e-2 * t'
  []
[]

[Executioner]
  type = Transient
  end_time = 60
  dt = 2.0
  dtmin = .1
  solve_type = 'PJFNK'
  petsc_options = '-snes_converged_reason -ksp_converged_reason -pc_svd_monitor '
                  '-snes_linesearch_monitor'
  petsc_options_iname = '-pc_type -pc_factor_shift_type -pc_factor_shift_amount -mat_mffd_err'
  petsc_options_value = 'lu       NONZERO               1e-15                   1e-5'
  l_max_its = 30
  nl_max_its = 20
  nl_abs_tol = 1e-9
  line_search = 'none'
  snesmf_reuse_base = false
[]

[Debug]
  show_var_residual_norms = true
[]

[Outputs]
  exodus = true
[]

[Preconditioning]
  [smp]
    type = SMP
    full = true
  []
[]

[Postprocessors]
  active = 'num_nl cumulative'
  [num_nl]
    type = NumNonlinearIterations
  []
  [cumulative]
    type = CumulativeValuePostprocessor
    postprocessor = num_nl
  []
[]

[VectorPostprocessors]
  [cont_press]
    type = NodalValueSampler
    variable = contact_pressure
    boundary = '10 101'
    sort_by = x
    execute_on = NONLINEAR
  []
[]

(modules/solid_mechanics/test/tests/crystal_plasticity/stress_update_material_based/orthotropic_rotation_Cijkl.i)

# This test is designed to test the correct application of the Euler angle
# rotations to the elasticity tensor. The test uses values for the nine C_ijkl
# entries that correspond to the engineering notation placement:
#  e.g. C11 = 11e3, c12 = 12e3, c13 = 13e3, c22 = 22e3 ..... c66 = 66e3
#
# A rotation of (0, 90, 0) is applied to the 1x1x1 cube, such that the values of
# c12 and c13 switch, c22 and c33 switch, and c55 and c66 switch. Postprocessors
# are used to verify this switch (made simple with the value convention above)
# and to verify that the unrotated components along the x-axis remain constant.

[Mesh]
  type = GeneratedMesh
  dim = 3
[]

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]

[AuxVariables]
  [lage_xx]
    order = CONSTANT
    family = MONOMIAL
  []
  [lage_yy]
    order = CONSTANT
    family = MONOMIAL
  []
  [pk2_yy]
    order = CONSTANT
    family = MONOMIAL
  []
  [lage_zz]
    order = CONSTANT
    family = MONOMIAL
  []
  [fp_yy]
    order = CONSTANT
    family = MONOMIAL
  []
  [c11]
    order = CONSTANT
    family = MONOMIAL
  []
  [c12]
    order = CONSTANT
    family = MONOMIAL
  []
  [c13]
    order = CONSTANT
    family = MONOMIAL
  []
  [c22]
    order = CONSTANT
    family = MONOMIAL
  []
  [c23]
    order = CONSTANT
    family = MONOMIAL
  []
  [c33]
    order = CONSTANT
    family = MONOMIAL
  []
  [c44]
    order = CONSTANT
    family = MONOMIAL
  []
  [c55]
    order = CONSTANT
    family = MONOMIAL
  []
  [c66]
    order = CONSTANT
    family = MONOMIAL
  []
[]

[Functions]
  [tdisp]
    type = ParsedFunction
    expression = 0.01*t
  []
[]

[Physics/SolidMechanics/QuasiStatic]
  [all]
    strain = FINITE
    add_variables = true
  []
[]

[AuxKernels]
  [lage_xx]
    type = RankTwoAux
    rank_two_tensor = total_lagrangian_strain
    variable = lage_xx
    index_i = 0
    index_j = 0
    execute_on = timestep_end
  []
  [lage_yy]
    type = RankTwoAux
    rank_two_tensor = total_lagrangian_strain
    variable = lage_yy
    index_i = 1
    index_j = 1
    execute_on = timestep_end
  []
  [pk2_yy]
    type = RankTwoAux
    variable = pk2_yy
    rank_two_tensor = second_piola_kirchhoff_stress
    index_j = 1
    index_i = 1
    execute_on = timestep_end
  []
  [lage_zz]
    type = RankTwoAux
    rank_two_tensor = total_lagrangian_strain
    variable = lage_zz
    index_i = 2
    index_j = 2
    execute_on = timestep_end
  []
  [fp_yy]
    type = RankTwoAux
    variable = fp_yy
    rank_two_tensor = plastic_deformation_gradient
    index_i = 1
    index_j = 1
    execute_on = timestep_end
  []
  [c11]
    type = RankFourAux
    variable = c11
    rank_four_tensor = elasticity_tensor
    index_i = 0
    index_j = 0
    index_k = 0
    index_l = 0
    execute_on = timestep_end
  []
  [c12]
    type = RankFourAux
    variable = c12
    rank_four_tensor = elasticity_tensor
    index_i = 0
    index_j = 0
    index_k = 1
    index_l = 1
    execute_on = timestep_end
  []
  [c13]
    type = RankFourAux
    variable = c13
    rank_four_tensor = elasticity_tensor
    index_i = 0
    index_j = 0
    index_k = 2
    index_l = 2
    execute_on = timestep_end
  []
  [c22]
    type = RankFourAux
    variable = c22
    rank_four_tensor = elasticity_tensor
    index_i = 1
    index_j = 1
    index_k = 1
    index_l = 1
    execute_on = timestep_end
  []
  [c23]
    type = RankFourAux
    variable = c23
    rank_four_tensor = elasticity_tensor
    index_i = 1
    index_j = 1
    index_k = 2
    index_l = 2
    execute_on = timestep_end
  []
  [c33]
    type = RankFourAux
    variable = c33
    rank_four_tensor = elasticity_tensor
    index_i = 2
    index_j = 2
    index_k = 2
    index_l = 2
    execute_on = timestep_end
  []
  [c44]
    type = RankFourAux
    variable = c44
    rank_four_tensor = elasticity_tensor
    index_i = 1
    index_j = 2
    index_k = 1
    index_l = 2
    execute_on = timestep_end
  []
  [c55]
    type = RankFourAux
    variable = c55
    rank_four_tensor = elasticity_tensor
    index_i = 2
    index_j = 0
    index_k = 2
    index_l = 0
    execute_on = timestep_end
  []
  [c66]
    type = RankFourAux
    variable = c66
    rank_four_tensor = elasticity_tensor
    index_i = 0
    index_j = 1
    index_k = 0
    index_l = 1
    execute_on = timestep_end
  []
[]

[BCs]
  [bottom]
    type = DirichletBC
    variable = disp_y
    boundary = bottom
    value = 0
  []
  [left]
    type = DirichletBC
    variable = disp_x
    boundary = left
    value = 0
  []
  [back]
    type = DirichletBC
    variable = disp_z
    boundary = back
    value = 0
  []
  [top]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = top
    function = tdisp
  []
[]

[Materials]
  [elasticity_tensor]
    type = ComputeElasticityTensorCP
    C_ijkl = '11e3 12e3 13e3 22e3 23e3 33e3 44e3 55e3 66e3'
    fill_method = symmetric9
    euler_angle_1 = 0.0
    euler_angle_2 = 45.0
    euler_angle_3 = 45.0
  []
  [stress]
    type = ComputeMultipleCrystalPlasticityStress
    crystal_plasticity_models = 'trial_xtalpl'
    tan_mod_type = exact
  []
  [trial_xtalpl]
    type = CrystalPlasticityKalidindiUpdate
    number_slip_systems = 12
    slip_sys_file_name = input_slip_sys.txt
  []
[]

[Postprocessors]
  [lage_xx]
    type = ElementAverageValue
    variable = lage_xx
  []
  [pk2_yy]
    type = ElementAverageValue
    variable = pk2_yy
  []
  [lage_yy]
    type = ElementAverageValue
    variable = lage_yy
  []
  [lage_zz]
    type = ElementAverageValue
    variable = lage_zz
  []
  [fp_yy]
    type = ElementAverageValue
    variable = fp_yy
  []
  [c11]
    type = ElementAverageValue
    variable = c11
  []
  [c12]
    type = ElementAverageValue
    variable = c12
  []
  [c13]
    type = ElementAverageValue
    variable = c13
  []
  [c22]
    type = ElementAverageValue
    variable = c22
  []
  [c23]
    type = ElementAverageValue
    variable = c23
  []
  [c33]
    type = ElementAverageValue
    variable = c33
  []
  [c44]
    type = ElementAverageValue
    variable = c44
  []
  [c55]
    type = ElementAverageValue
    variable = c55
  []
  [c66]
    type = ElementAverageValue
    variable = c66
  []
[]

[Executioner]
  type = Transient
  solve_type = PJFNK

  l_tol = 1e-3
  petsc_options_iname = '-pc_type -pc_asm_overlap -sub_pc_type -ksp_type -ksp_gmres_restart'
  petsc_options_value = ' asm      1              lu            gmres     200'
  nl_abs_tol = 1e-10
  nl_rel_tol = 1e-10

  dtmax = 0.1
  dtmin = 1.0e-3
  dt = 0.05
  end_time = 0.5
[]

[Outputs]
  exodus = false
  csv = true
[]

(modules/solid_mechanics/test/tests/1D_axisymmetric/axisymm_gps_finite.i)

# this test checks the asixymmetric 1D generalized plane strain formulation using finite strains

[GlobalParams]
  displacements = disp_x
  scalar_out_of_plane_strain = scalar_strain_yy
[]

[Problem]
  coord_type = RZ
[]

[Mesh]
  file = line.e
[]

[Variables]
  [./disp_x]
  [../]
  [./scalar_strain_yy]
    order = FIRST
    family = SCALAR
  [../]
[]

[AuxVariables]
  [./strain_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./strain_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./strain_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./temp]
    initial_condition = 580.0
  [../]
[]

[Functions]
  [./temp]
    type = PiecewiseLinear
    x = '0   1   2'
    y = '580 580 680'
  [../]
  [./disp_x]
    type = PiecewiseLinear
    x = '0 1'
    y = '0 2e-3'
  [../]
[]

[Kernels]
  [SolidMechanics]
  [../]
[]

[Physics]
  [SolidMechanics]
    [./GeneralizedPlaneStrain]
      [./gps]
      [../]
    [../]
  [../]
[]

[AuxKernels]
  [./strain_xx]
    type = RankTwoAux
    rank_two_tensor = total_strain
    variable = strain_xx
    index_i = 0
    index_j = 0
  [../]
  [./strain_yy]
    type = RankTwoAux
    rank_two_tensor = total_strain
    variable = strain_yy
    index_i = 1
    index_j = 1
  [../]
  [./strain_zz]
    type = RankTwoAux
    rank_two_tensor = total_strain
    variable = strain_zz
    index_i = 2
    index_j = 2
  [../]
  [./stress_xx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xx
    index_i = 0
    index_j = 0
    execute_on = timestep_end
  [../]
  [./stress_yy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yy
    index_i = 1
    index_j = 1
    execute_on = timestep_end
  [../]
  [./stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zz
    index_i = 2
    index_j = 2
    execute_on = timestep_end
  [../]
  [./temp]
    type = FunctionAux
    variable = temp
    function = temp
    execute_on = 'timestep_begin'
  [../]
[]

[BCs]
  [./no_x]
    type = DirichletBC
    boundary = 1
    value = 0
    variable = disp_x
  [../]
  [./disp_x]
    type = FunctionDirichletBC
    boundary = 2
    function = disp_x
    variable = disp_x
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeIsotropicElasticityTensor
    youngs_modulus = 3600
    poissons_ratio = 0.2
  [../]

  [./strain]
    type = ComputeAxisymmetric1DFiniteStrain
    eigenstrain_names = eigenstrain
    scalar_out_of_plane_strain = scalar_strain_yy
  [../]

  [./thermal_strain]
    type = ComputeThermalExpansionEigenstrain
    thermal_expansion_coeff = 1e-6
    temperature = temp
    stress_free_temperature = 580
    eigenstrain_name = eigenstrain
  [../]

  [./stress]
    type = ComputeFiniteStrainElasticStress
  [../]
[]

[Executioner]
  type = Transient
  solve_type = 'PJFNK'
  line_search = 'none'

  l_max_its = 50
  l_tol = 1e-6
  nl_max_its = 15
  nl_rel_tol = 1e-8
  nl_abs_tol = 1e-10
  start_time = 0
  end_time = 2
  num_steps = 2
[]

[Outputs]
  exodus = true
  console = true
[]

(modules/solid_mechanics/test/tests/capped_weak_plane/small_deform9.i)

# apply a shear deformation to observe shear hardening.
# Shear gives q_trial = 2*Sqrt(20), p_trial=0
# The solution given by MOOSE correctly satisfies the equations
# 0 = f = q + p*tan(phi) - coh
# 0 = p - p_trial + ga * Ezzzz * dg/dp
# 0 = q - q_trial + ga * Ezxzx * dg/dq
# Here dg/dp = tan(psi), and dg/dq = 1
[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]


[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]

[Physics/SolidMechanics/QuasiStatic]
  [./all]
    add_variables = true
    incremental = true
    generate_output = 'stress_xx stress_xy stress_xz stress_yy stress_yz stress_zz plastic_strain_xx plastic_strain_xy plastic_strain_xz plastic_strain_yy plastic_strain_yz plastic_strain_zz strain_xx strain_xy strain_xz strain_yy strain_yz strain_zz'
  [../]
[]

[BCs]
  [./bottomx]
    type = DirichletBC
    variable = disp_x
    boundary = back
    value = 0.0
  [../]
  [./bottomy]
    type = DirichletBC
    variable = disp_y
    boundary = back
    value = 0.0
  [../]
  [./bottomz]
    type = DirichletBC
    variable = disp_z
    boundary = back
    value = 0.0
  [../]

  [./topx]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = front
    function = 't'
  [../]
  [./topy]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = front
    function = '2*t'
  [../]
  [./topz]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = front
    function = '0'
  [../]
[]


[AuxVariables]
  [./f_shear]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f_tensile]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f_compressive]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./intnl_shear]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./intnl_tensile]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./iter]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./ls]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]

[AuxKernels]
  [./f_shear]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 0
    variable = f_shear
  [../]
  [./f_tensile]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 1
    variable = f_tensile
  [../]
  [./f_compressive]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 2
    variable = f_compressive
  [../]
  [./intnl_shear]
    type = MaterialStdVectorAux
    property = plastic_internal_parameter
    index = 0
    variable = intnl_shear
  [../]
  [./intnl_tensile]
    type = MaterialStdVectorAux
    property = plastic_internal_parameter
    index = 1
    variable = intnl_tensile
  [../]
  [./iter]
    type = MaterialRealAux
    property = plastic_NR_iterations
    variable = iter
  [../]
  [./ls]
    type = MaterialRealAux
    property = plastic_linesearch_needed
    variable = ls
  [../]
[]

[Postprocessors]
  [./stress_xx]
    type = PointValue
    point = '0 0 0'
    variable = stress_xx
  [../]
  [./stress_xy]
    type = PointValue
    point = '0 0 0'
    variable = stress_xy
  [../]
  [./stress_xz]
    type = PointValue
    point = '0 0 0'
    variable = stress_xz
  [../]
  [./stress_yy]
    type = PointValue
    point = '0 0 0'
    variable = stress_yy
  [../]
  [./stress_yz]
    type = PointValue
    point = '0 0 0'
    variable = stress_yz
  [../]
  [./stress_zz]
    type = PointValue
    point = '0 0 0'
    variable = stress_zz
  [../]
  [./strainp_xx]
    type = PointValue
    point = '0 0 0'
    variable = plastic_strain_xx
  [../]
  [./strainp_xy]
    type = PointValue
    point = '0 0 0'
    variable = plastic_strain_xy
  [../]
  [./strainp_xz]
    type = PointValue
    point = '0 0 0'
    variable = plastic_strain_xz
  [../]
  [./strainp_yy]
    type = PointValue
    point = '0 0 0'
    variable = plastic_strain_yy
  [../]
  [./strainp_yz]
    type = PointValue
    point = '0 0 0'
    variable = plastic_strain_yz
  [../]
  [./strainp_zz]
    type = PointValue
    point = '0 0 0'
    variable = plastic_strain_zz
  [../]
  [./straint_xx]
    type = PointValue
    point = '0 0 0'
    variable = strain_xx
  [../]
  [./straint_xy]
    type = PointValue
    point = '0 0 0'
    variable = strain_xy
  [../]
  [./straint_xz]
    type = PointValue
    point = '0 0 0'
    variable = strain_xz
  [../]
  [./straint_yy]
    type = PointValue
    point = '0 0 0'
    variable = strain_yy
  [../]
  [./straint_yz]
    type = PointValue
    point = '0 0 0'
    variable = strain_yz
  [../]
  [./straint_zz]
    type = PointValue
    point = '0 0 0'
    variable = strain_zz
  [../]
  [./f_shear]
    type = PointValue
    point = '0 0 0'
    variable = f_shear
  [../]
  [./f_tensile]
    type = PointValue
    point = '0 0 0'
    variable = f_tensile
  [../]
  [./f_compressive]
    type = PointValue
    point = '0 0 0'
    variable = f_compressive
  [../]
  [./intnl_shear]
    type = PointValue
    point = '0 0 0'
    variable = intnl_shear
  [../]
  [./intnl_tensile]
    type = PointValue
    point = '0 0 0'
    variable = intnl_tensile
  [../]
  [./iter]
    type = PointValue
    point = '0 0 0'
    variable = iter
  [../]
  [./ls]
    type = PointValue
    point = '0 0 0'
    variable = ls
  [../]
[]

[UserObjects]
  [./coh]
    type = SolidMechanicsHardeningExponential
    value_0 = 1
    value_residual = 2
    rate = 1
  [../]
  [./tanphi]
    type = SolidMechanicsHardeningExponential
    value_0 = 1.0
    value_residual = 0.5
    rate = 2
  [../]
  [./tanpsi]
    type = SolidMechanicsHardeningExponential
    value_0 = 0.1
    value_residual = 0.05
    rate = 1
  [../]
  [./t_strength]
    type = SolidMechanicsHardeningConstant
    value = 1E8
  [../]
  [./c_strength]
    type = SolidMechanicsHardeningConstant
    value = 1E8
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    fill_method = symmetric_isotropic
    C_ijkl = '4 4'
  [../]
  [./admissible]
    type = ComputeMultipleInelasticStress
    inelastic_models = stress
    perform_finite_strain_rotations = false
  [../]
  [./stress]
    type = CappedWeakPlaneStressUpdate
    cohesion = coh
    tan_friction_angle = tanphi
    tan_dilation_angle = tanpsi
    tensile_strength = t_strength
    compressive_strength = c_strength
    max_NR_iterations = 20
    tip_smoother = 0
    smoothing_tol = 1
    yield_function_tol = 1E-3
  [../]
[]


[Executioner]
  end_time = 1
  dt = 1
  type = Transient
[]


[Outputs]
  file_base = small_deform9
  [./csv]
    type = CSV
  [../]
[]

(framework/contrib/hit/test/output.i)

# This tests the thermal expansion coefficient function using both
# options to specify that function: mean and instantaneous.  There
# two blocks, each containing a single element, and these use the
# two variants of the function.

# In this test, the instantaneous CTE function has a constant value,
# while the mean CTE function is an analytic function designed to
# give the same response.  If \bar{alpha}(T) is the mean CTE function,
# and \alpha(T) is the instantaneous CTE function,

# \bar{\alpha}(T) = 1/(T-Tref) \intA^{T}_{Tsf} \alpha(T) dT

# where Tref is the reference temperature used to define the mean CTE
# function, and Tsf is the stress-free temperature.

# The two models produce very similar results.  There are slight
# differences due to the large deformation treatment.

[Mesh]
  file = 'blocks.e'
[]

[Variables]
  [./disp_x]
    order = FIRST
    family = LAGRANGE
  [../]

  [./disp_y]
    order = FIRST
    family = LAGRANGE
  [../]

  [./disp_z]
    order = FIRST
    family = LAGRANGE
  [../]
[]

[AuxVariables]
  [./temp]
    order = FIRST
    family = LAGRANGE
  [../]
[]

[SolidMechanics]
  [./solid]
    disp_x = disp_x
    disp_y = disp_y
    disp_z = disp_z
  [../]
[]

[BCs]

  [./bottom]
    type = DirichletBC
    variable = disp_y
    boundary = 2
    value = 0.0
  [../]

  [left]
    type = FunctionDirichletBC
    variable = disp_x
    function = 0.02*t
    boundary = 3
  []
  [back]
    type = FunctionDirichletBC
    variable = disp_z
    function = 0.01*t
    boundary = 1
  []
[]

[AuxKernels]
  [./temp]
    type = FunctionAux
    variable = temp
    block = '1 2'
    function = temp_func
  [../]
[]

[Materials]
  [./mean_alpha]
    type = Elastic
    block = 1
    youngs_modulus = 1e6
    poissons_ratio = .3
    disp_x = disp_x
    disp_y = disp_y
    disp_z = disp_z
    temp = temp
    thermal_expansion_function = cte_func_mean
    stress_free_temperature = 0.0
    thermal_expansion_reference_temperature = 0.5
    thermal_expansion_function_type = mean
  [../]

  [./inst_alpha]
    type = Elastic
    block = 2
    youngs_modulus = 1e6
    poissons_ratio = .3
    disp_x = disp_x
    disp_y = disp_y
    disp_z = disp_z
    temp = temp
    thermal_expansion_function = cte_func_inst
    stress_free_temperature = 0.0
    thermal_expansion_function_type = instantaneous
  [../]
[]

[Functions]
  [./cte_func_mean]
    type = ParsedFunction
    symbol_names = 'tsf tref scale' #stress free temp, reference temp, scale factor
    symbol_values = '0.0 0.5  1e-4'
    expression = 'scale * (t - tsf) / (t - tref)'
  [../]
  [./cte_func_inst]
    type = PiecewiseLinear
    xy_data = '0 1.0
               2 1.0'
    scale_factor = 1e-4
  [../]

  [./temp_func]
    type = PiecewiseLinear
    xy_data = '0 1
               1 2'
  [../]
[]

[Postprocessors]
  [./disp_1]
    type = NodalMaxValue
    variable = disp_x
    boundary = 101
  [../]

  [./disp_2]
    type = NodalMaxValue
    variable = disp_x
    boundary = 102
  [../]
[]

[Executioner]
  type = Transient

  solve_type = PJFNK
  l_max_its = 100
  l_tol = 1e-4
  nl_abs_tol = 1e-8
  nl_rel_tol = 1e-12

  start_time = 0.0
  end_time = 1.0
  dt = 0.1
[]

[Outputs]
  file_base = const_alpha_out
  exodus = true
  csv = true
[]

(modules/solid_mechanics/test/tests/multiple_two_parameter_plasticity/cycled_dp_then_wp.i)

# Use ComputeMultipleInelasticStress with two inelastic models: CappedDruckerPrager and CappedWeakPlane.
# The relative_tolerance and absolute_tolerance parameters are set very large so that
# only one iteration is performed.  This is the algorithm that FLAC uses to model
# jointed rocks, only Capped-Mohr-Coulomb is used instead of CappedDruckerPrager
#
# In this test "cycle_models=true" so that in the first timestep only
# CappedDruckerPrager is used, while in the second timestep only
# CappedWeakPlane is used.
#
# initial_stress = diag(1E3, 1E3, 1E3)
# The CappedDruckerPrager has tensile strength 3E2 and large cohesion,
# so the stress initially returns to diag(1E2, 1E2, 1E2)
# The CappedWeakPlane has tensile strength zero and large cohesion,
# so the stress returns to diag(1E2 - v/(1-v)*1E2, 1E2 - v/(1-v)*1E2, 0)
# where v=0.2 is the Poisson's ratio

[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]


[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]

[Physics/SolidMechanics/QuasiStatic]
  [./all]
    add_variables = true
    incremental = true
    eigenstrain_names = ini_stress
    generate_output = 'stress_xx stress_xy stress_xz stress_yy stress_yz stress_zz'
  [../]
[]

[BCs]
  [./x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'front back'
    function = 0
  [../]
  [./y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'front back'
    function = 0
  [../]
  [./z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'front back'
    function = 0
  [../]
[]

[AuxVariables]
  [./yield_fcn_dp]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./yield_fcn_wp]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./tensile_cdp]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./tensile_cwp]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]

[AuxKernels]
  [./yield_fcn_dp_auxk]
    type = MaterialStdVectorAux
    index = 1    # this is the tensile yield function - it should be zero
    property = cdp_plastic_yield_function
    variable = yield_fcn_dp
  [../]
  [./yield_fcn_wp_auxk]
    type = MaterialStdVectorAux
    index = 1    # this is the tensile yield function - it should be zero
    property = cwp_plastic_yield_function
    variable = yield_fcn_wp
  [../]
  [./tensile_cdp]
    type = MaterialStdVectorAux
    index = 1
    property = cdp_plastic_internal_parameter
    variable = tensile_cdp
  [../]
  [./tensile_cwp]
    type = MaterialStdVectorAux
    index = 1
    property = cwp_plastic_internal_parameter
    variable = tensile_cwp
  [../]
[]

[Postprocessors]
  [./s_xx]
    type = PointValue
    point = '0 0 0'
    variable = stress_xx
  [../]
  [./s_xy]
    type = PointValue
    point = '0 0 0'
    variable = stress_xy
  [../]
  [./s_xz]
    type = PointValue
    point = '0 0 0'
    variable = stress_xz
  [../]
  [./s_yy]
    type = PointValue
    point = '0 0 0'
    variable = stress_yy
  [../]
  [./s_yz]
    type = PointValue
    point = '0 0 0'
    variable = stress_yz
  [../]
  [./s_zz]
    type = PointValue
    point = '0 0 0'
    variable = stress_zz
  [../]
  [./i_cdp]
    type = PointValue
    point = '0 0 0'
    variable = tensile_cdp
  [../]
  [./i_cwp]
    type = PointValue
    point = '0 0 0'
    variable = tensile_cwp
  [../]
[]

[UserObjects]
  [./ts]
    type = SolidMechanicsHardeningConstant
    value = 300
  [../]
  [./cs]
    type = SolidMechanicsHardeningConstant
    value = 1E4
  [../]
  [./mc_coh]
    type = SolidMechanicsHardeningConstant
    value = 1E4
  [../]
  [./mc_phi]
    type = SolidMechanicsHardeningConstant
    value = 20
    convert_to_radians = true
  [../]
  [./mc_psi]
    type = SolidMechanicsHardeningConstant
    value = 0
  [../]
  [./dp]
    type = SolidMechanicsPlasticDruckerPrager
    mc_cohesion = mc_coh
    mc_friction_angle = mc_phi
    mc_dilation_angle = mc_psi
    internal_constraint_tolerance = 1 # irrelevant here
    yield_function_tolerance = 1      # irrelevant here
  [../]
  [./wp_coh]
    type = SolidMechanicsHardeningConstant
    value = 1E4
  [../]
  [./wp_tanphi]
    type = SolidMechanicsHardeningConstant
    value = 0.5
  [../]
  [./wp_tanpsi]
    type = SolidMechanicsHardeningConstant
    value = 0.1111077
  [../]
  [./wp_t_strength]
    type = SolidMechanicsHardeningConstant
    value = 0
  [../]
  [./wp_c_strength]
    type = SolidMechanicsHardeningConstant
    value = 1E4
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeIsotropicElasticityTensor
    poissons_ratio = 0.2
    youngs_modulus = 1.0
  [../]
  [./ini_stress]
    type = ComputeEigenstrainFromInitialStress
    initial_stress = '1E3 0 0  0 1E3 0  0 0 1E3'
    eigenstrain_name = ini_stress
  [../]
  [./admissible]
    type = ComputeMultipleInelasticStress
    relative_tolerance = 1E4
    absolute_tolerance = 2
    inelastic_models = 'cdp cwp'
    perform_finite_strain_rotations = false
    cycle_models = true
  [../]
  [./cdp]
    type = CappedDruckerPragerStressUpdate
    base_name = cdp
    DP_model = dp
    tensile_strength = ts
    compressive_strength = cs
    yield_function_tol = 1E-5
    tip_smoother = 1E3
    smoothing_tol = 1E3
  [../]
  [./cwp]
    type = CappedWeakPlaneStressUpdate
    base_name = cwp
    cohesion = wp_coh
    tan_friction_angle = wp_tanphi
    tan_dilation_angle = wp_tanpsi
    tensile_strength = wp_t_strength
    compressive_strength = wp_c_strength
    tip_smoother = 1E3
    smoothing_tol = 1E3
    yield_function_tol = 1E-5
  [../]
[]


[Executioner]
  end_time = 2
  dt = 1
  type = Transient
[]


[Outputs]
  file_base = cycled_dp_then_wp
  csv = true
[]

(modules/solid_mechanics/test/tests/recompute_radial_return/isotropic_plasticity_finite_strain.i)

# This simulation uses the piece-wise linear strain hardening model
# with the incremental small strain formulation; incremental small strain
# is required to produce the strain_increment for the DiscreteRadialReturnStressIncrement
# class, which handles the calculation of the stress increment to return
# to the yield surface in a J2 (isotropic) plasticity problem.
#
#  This test assumes a Poissons ratio of 0.3 and applies a displacement loading
# condition on the top in the y direction.
#
# An identical problem was run in Abaqus on a similar 1 element mesh and was used
# to verify the SolidMechanics solution; this SolidMechanics code matches the
# SolidMechanics solution.
#
# Mechanical strain is the sum of the elastic and plastic strains but is different
# from total strain in cases with eigen strains, e.g. thermal strain.

[Mesh]
  file = 1x1x1cube.e
[]

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]

[Functions]
  [./top_pull]
    type = ParsedFunction
    expression = t*(0.0625)
  [../]
  [./hf]
    type = PiecewiseLinear
    x = '0  0.001 0.003 0.023'
    y = '50 52    54    56'
  [../]
[]

[Physics/SolidMechanics/QuasiStatic]
  [./all]
    strain = FINITE
    add_variables = true
    generate_output = 'stress_yy plastic_strain_xx plastic_strain_yy plastic_strain_zz'
  [../]
[]

[BCs]
  [./y_pull_function]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 5
    function = top_pull
  [../]
  [./x_bot]
    type = DirichletBC
    variable = disp_x
    boundary = 4
    value = 0.0
  [../]
  [./y_bot]
    type = DirichletBC
    variable = disp_y
    boundary = 3
    value = 0.0
  [../]
  [./z_bot]
    type = DirichletBC
    variable = disp_z
    boundary = 2
    value = 0.0
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeIsotropicElasticityTensor
    youngs_modulus = 2.1e5
    poissons_ratio = 0.3
  [../]
  [./isotropic_plasticity]
    type = IsotropicPlasticityStressUpdate
    yield_stress = 50.0
    hardening_function = hf
  [../]
  [./radial_return_stress]
    type = ComputeMultipleInelasticStress
    tangent_operator = elastic
    inelastic_models = 'isotropic_plasticity'
  [../]
[]

[Executioner]
  type = Transient

  solve_type = 'PJFNK'

  petsc_options = '-snes_ksp_ew'
  petsc_options_iname = '-ksp_gmres_restart'
  petsc_options_value = '101'

  line_search = 'none'

  l_max_its = 50
  nl_max_its = 50
  nl_rel_tol = 1e-12
  nl_abs_tol = 1e-10
  l_tol = 1e-9

  start_time = 0.0
  end_time = 0.075
  dt = 0.00125
  dtmin = 0.0001
[]

[Outputs]
  [./out]
    type = Exodus
    elemental_as_nodal = true
  [../]
[]

(modules/combined/test/tests/evolving_mass_density/rz_tensors.i)

#  Constant mass in RZ using Tensor Mechanics
#
# This test forces an RZ mesh to move through a series of displacements
#   in order to test whether the mass is constant.  The density is chosen
#   such that the mass is 2.5.
# This test is a duplicate of the rz.i test for solid mechanics, and the
#   output of this tensor mechanics test is compared to the original
#   solid mechanics output.  The duplication is necessary to test the
#   migrated tensor mechanics version while maintaining tests for solid mechanics.

[Mesh]
  file = elastic_patch_rz.e
[]

[GlobalParams]
  displacements = 'disp_x disp_y'
[]

[Problem]
  coord_type = RZ
[]

[Functions]
  [./x101]
    type = PiecewiseLinear
    x = '0 5 6'
    y = '0 0 0.24'
  [../]
  [./y101]
    type = PiecewiseLinear
    x = '0 6'
    y = '0 0'
  [../]
  [./x102]
    type = PiecewiseLinear
    x = '0 4 5'
    y = '0 0 0.24'
  [../]
  [./y102]
    type = PiecewiseLinear
    x = '0 1 2 3'
    y = '0 0 0.12 0'
  [../]
  [./x103]
    type = PiecewiseLinear
    x = '0 4 5'
    y = '0 0 0.24'
  [../]
  [./y103]
    type = PiecewiseLinear
    x = '0 1    3    4'
    y = '0 0.12 0.12 0'
  [../]
  [./x104]
    type = PiecewiseLinear
    x = '0 5 6'
    y = '0 0 0.24'
  [../]
  [./y104]
    type = PiecewiseLinear
    x = '0 2 3    4'
    y = '0 0 0.12 0'
  [../]
[]

[Variables]
  [./disp_x]
    order = FIRST
    family = LAGRANGE
  [../]

  [./disp_y]
    order = FIRST
    family = LAGRANGE
  [../]
[]

[Kernels]
  [./TensorMechanics]
    use_displaced_mesh = true
  [../]
[]

[BCs]

  [./101x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 101
    function = x101
  [../]
  [./101y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 101
    function = y101
  [../]

  [./102x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 102
    function = x102
  [../]
  [./102y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 102
    function = y102
  [../]

  [./103x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 103
    function = x103
  [../]
  [./103y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 103
    function = y103
  [../]

  [./104x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 104
    function = x104
  [../]
  [./104y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 104
    function = y104
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeIsotropicElasticityTensor
    block = PATCH
    youngs_modulus = 1e6
    poissons_ratio = 0.0
  [../]

  [./small_strain_rz]
    type = ComputeAxisymmetricRZSmallStrain
    block = PATCH
  [../]

  [./elastic_stress]
    type = ComputeLinearElasticStress
    block = PATCH
  [../]
[]

[Executioner]
  type = Transient

  #Preconditioned JFNK (default)
  solve_type = 'PJFNK'

  # Two sets of linesearch options are for petsc 3.1 and 3.3 respectively
  petsc_options_iname = '-pc_type -ksp_gmres_restart'
  petsc_options_value = 'lu       101'

  line_search = 'none'
  nl_abs_tol = 1e-10
  l_max_its = 20

  start_time = 0.0
  dt = 1
  num_steps = 6
  end_time = 6.0
[]

[Outputs]
  [./out]
    type = Exodus
    elemental_as_nodal = true
    file_base = rz_out
  [../]
[]

[Postprocessors]
  [./mass]
    type = Mass
    variable = disp_x
    execute_on = 'initial timestep_end'
  [../]
[]

(modules/peridynamics/test/tests/simple_tests/2D_finite_strain_H1NOSPD.i)


[GlobalParams]
  displacements = 'disp_x disp_y'
[]

[Mesh]
  type = PeridynamicsMesh
  horizon_number = 3

  [./gmg]
    type = GeneratedMeshGenerator
    dim = 2
    nx = 6
    ny = 6
  [../]
  [./gpd]
    type = MeshGeneratorPD
    input = gmg
    retain_fe_mesh = false
  [../]
[]

[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
[]

[BCs]
  [./left_x]
    type = DirichletBC
    variable = disp_x
    boundary = 1003
    value = 0.0
  [../]
  [./left_y]
    type = DirichletBC
    variable = disp_y
    boundary = 1003
    value = 0.0
  [../]
  [./right_x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 1001
    function = '0.01*t'
  [../]
[]

[Modules/Peridynamics/Mechanics/Master]
  [./all]
    formulation = NONORDINARY_STATE
    stabilization = BOND_HORIZON_I
    strain = FINITE
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeIsotropicElasticityTensor
    youngs_modulus = 2.1e8
    poissons_ratio = 0.3
  [../]
  [./strain]
    type = ComputePlaneFiniteStrainNOSPD
    stabilization = BOND_HORIZON_I
  [../]
  [./stress]
    type = ComputeFiniteStrainElasticStress
  [../]
[]

[Preconditioning]
  [./SMP]
    type = SMP
    full = true
  [../]
[]

[Executioner]
  type = Transient
  solve_type = PJFNK
  line_search = none
  start_time = 0
  end_time = 1

  [./Quadrature]
    type = GAUSS_LOBATTO
    order = FIRST
  [../]
[]

[Outputs]
  file_base = 2D_finite_strain_H1NOSPD
  exodus = true
[]

(modules/porous_flow/test/tests/hysteresis/hys_sat_01.i)

# 1-phase hysteresis.  Saturation calculation.  Primary drying curve with low_extension_type = none
# When comparing the results with a by-hand computation, remember the MOOSE results are averaged over an element
[Mesh]
  [mesh]
    type = GeneratedMeshGenerator
    dim = 1
    xmin = 0
    xmax = 10
    nx = 100
  []
[]

[GlobalParams]
  PorousFlowDictator = dictator
[]

[UserObjects]
  [dictator]
    type = PorousFlowDictator
    number_fluid_phases = 1
    number_fluid_components = 1
    porous_flow_vars = pp
  []
[]

[Variables]
  [pp]
  []
[]

[ICs]
  [pp]
    type = FunctionIC
    variable = pp
    function = '1 - x'
  []
[]

[BCs]
  [pp]
    type = FunctionDirichletBC
    variable = pp
    function = '1 - x'
    boundary = 'left right'
  []
[]

[Kernels]
  [dummy]
    type = Diffusion
    variable = pp
  []
[]

[Materials]
  [hys_order]
    type = PorousFlowHysteresisOrder
  []
  [saturation_calculator]
    type = PorousFlow1PhaseHysP
    alpha_d = 10.0
    alpha_w = 10.0
    n_d = 1.1
    n_w = 1.9
    S_l_min = 0.1
    S_lr = 0.2
    S_gr_max = 0.3
    Pc_max = 7.0
    low_extension_type = none
    porepressure = pp
  []
[]

[AuxVariables]
  [hys_order]
    family = MONOMIAL
    order = CONSTANT
  []
  [saturation]
    family = MONOMIAL
    order = CONSTANT
  []
[]

[AuxKernels]
  [hys_order]
    type = PorousFlowPropertyAux
    variable = hys_order
    property = hysteresis_order
  []
  [saturation]
    type = PorousFlowPropertyAux
    variable = saturation
    property = saturation
    phase = 0
  []
[]

[VectorPostprocessors]
  [sat]
    type = LineValueSampler
    warn_discontinuous_face_values = false
    start_point = '0.5 0 0'
    end_point = '9.5 0 0'
    num_points = 10
    sort_by = x
    variable = 'saturation pp'
  []
[]

[Executioner]
  type = Transient
  solve_type = Linear
  dt = 1
  end_time = 1
[]

[Outputs]
  csv = true
[]

(modules/solid_mechanics/test/tests/crystal_plasticity/twinning/combined_twinning_slip_111tension.i)

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]

[Mesh]
  [cube]
    type = GeneratedMeshGenerator
    dim = 3
    nx = 2
    ny = 2
    nz = 2
    elem_type = HEX8
  []
[]

[AuxVariables]
  [fp_zz]
    order = CONSTANT
    family = MONOMIAL
  []
  [total_twin_volume_fraction]
    order = CONSTANT
    family = MONOMIAL
  []
  [slip_increment_0]
    order = CONSTANT
    family = MONOMIAL
  []
  [slip_increment_1]
    order = CONSTANT
    family = MONOMIAL
  []
  [slip_increment_2]
    order = CONSTANT
    family = MONOMIAL
  []
  [slip_increment_3]
    order = CONSTANT
    family = MONOMIAL
  []
  [slip_increment_4]
    order = CONSTANT
    family = MONOMIAL
  []
  [slip_increment_5]
    order = CONSTANT
    family = MONOMIAL
  []
  [slip_increment_6]
    order = CONSTANT
    family = MONOMIAL
  []
  [slip_increment_7]
    order = CONSTANT
    family = MONOMIAL
  []
  [slip_increment_8]
    order = CONSTANT
    family = MONOMIAL
  []
  [slip_increment_9]
    order = CONSTANT
    family = MONOMIAL
  []
  [slip_increment_10]
    order = CONSTANT
    family = MONOMIAL
  []
  [slip_increment_11]
    order = CONSTANT
    family = MONOMIAL
  []
  [twin_volume_fraction_0]
   order = CONSTANT
   family = MONOMIAL
  []
  [twin_volume_fraction_1]
   order = CONSTANT
   family = MONOMIAL
  []
  [twin_volume_fraction_2]
   order = CONSTANT
   family = MONOMIAL
  []
  [twin_volume_fraction_3]
   order = CONSTANT
   family = MONOMIAL
  []
  [twin_volume_fraction_4]
   order = CONSTANT
   family = MONOMIAL
  []
  [twin_volume_fraction_5]
   order = CONSTANT
   family = MONOMIAL
  []
  [twin_volume_fraction_6]
   order = CONSTANT
   family = MONOMIAL
  []
  [twin_volume_fraction_7]
   order = CONSTANT
   family = MONOMIAL
  []
  [twin_volume_fraction_8]
   order = CONSTANT
   family = MONOMIAL
  []
  [twin_volume_fraction_9]
   order = CONSTANT
   family = MONOMIAL
  []
  [twin_volume_fraction_10]
   order = CONSTANT
   family = MONOMIAL
  []
  [twin_volume_fraction_11]
   order = CONSTANT
   family = MONOMIAL
  []
[]

[Physics/SolidMechanics/QuasiStatic/all]
  strain = FINITE
  add_variables = true
[]

[AuxKernels]
  [fp_zz]
    type = RankTwoAux
    variable = fp_zz
    rank_two_tensor = plastic_deformation_gradient
    index_j = 2
    index_i = 2
    execute_on = timestep_end
  []
  [total_twin_volume_fraction]
    type = MaterialRealAux
    variable = total_twin_volume_fraction
    property = twin_total_volume_fraction_twins
    execute_on = timestep_end
  []
  [slip_increment_0]
   type = MaterialStdVectorAux
   variable = slip_increment_0
   property = slip_increment
   index = 0
   execute_on = timestep_end
  []
  [slip_increment_1]
   type = MaterialStdVectorAux
   variable = slip_increment_1
   property = slip_increment
   index = 1
   execute_on = timestep_end
  []
  [slip_increment_2]
   type = MaterialStdVectorAux
   variable = slip_increment_2
   property = slip_increment
   index = 2
   execute_on = timestep_end
  []
  [slip_increment_3]
   type = MaterialStdVectorAux
   variable = slip_increment_3
   property = slip_increment
   index = 3
   execute_on = timestep_end
  []
  [slip_increment_4]
   type = MaterialStdVectorAux
   variable = slip_increment_4
   property = slip_increment
   index = 4
   execute_on = timestep_end
  []
  [slip_increment_5]
   type = MaterialStdVectorAux
   variable = slip_increment_5
   property = slip_increment
   index = 5
   execute_on = timestep_end
  []
  [slip_increment_6]
   type = MaterialStdVectorAux
   variable = slip_increment_6
   property = slip_increment
   index = 6
   execute_on = timestep_end
  []
  [slip_increment_7]
   type = MaterialStdVectorAux
   variable = slip_increment_7
   property = slip_increment
   index = 7
   execute_on = timestep_end
  []
  [slip_increment_8]
   type = MaterialStdVectorAux
   variable = slip_increment_8
   property = slip_increment
   index = 8
   execute_on = timestep_end
  []
  [slip_increment_9]
   type = MaterialStdVectorAux
   variable = slip_increment_9
   property = slip_increment
   index = 9
   execute_on = timestep_end
  []
  [slip_increment_10]
   type = MaterialStdVectorAux
   variable = slip_increment_10
   property = slip_increment
   index = 10
   execute_on = timestep_end
  []
  [slip_increment_11]
   type = MaterialStdVectorAux
   variable = slip_increment_11
   property = slip_increment
   index = 11
   execute_on = timestep_end
  []
  [twin_volume_fraction_0]
   type = MaterialStdVectorAux
   variable = twin_volume_fraction_0
   property = twin_twin_system_volume_fraction
   index = 0
   execute_on = timestep_end
  []
  [twin_volume_fraction_1]
   type = MaterialStdVectorAux
   variable = twin_volume_fraction_1
   property = twin_twin_system_volume_fraction
   index = 1
   execute_on = timestep_end
  []
  [twin_volume_fraction_2]
   type = MaterialStdVectorAux
   variable = twin_volume_fraction_2
   property = twin_twin_system_volume_fraction
   index = 2
   execute_on = timestep_end
  []
  [twin_volume_fraction_3]
   type = MaterialStdVectorAux
   variable = twin_volume_fraction_3
   property = twin_twin_system_volume_fraction
   index = 3
   execute_on = timestep_end
  []
  [twin_volume_fraction_4]
   type = MaterialStdVectorAux
   variable = twin_volume_fraction_4
   property = twin_twin_system_volume_fraction
   index = 4
   execute_on = timestep_end
  []
  [twin_volume_fraction_5]
   type = MaterialStdVectorAux
   variable = twin_volume_fraction_5
   property = twin_twin_system_volume_fraction
   index = 5
   execute_on = timestep_end
  []
  [twin_volume_fraction_6]
   type = MaterialStdVectorAux
   variable = twin_volume_fraction_6
   property = twin_twin_system_volume_fraction
   index = 6
   execute_on = timestep_end
  []
  [twin_volume_fraction_7]
   type = MaterialStdVectorAux
   variable = twin_volume_fraction_7
   property = twin_twin_system_volume_fraction
   index = 7
   execute_on = timestep_end
  []
  [twin_volume_fraction_8]
   type = MaterialStdVectorAux
   variable = twin_volume_fraction_8
   property = twin_twin_system_volume_fraction
   index = 8
   execute_on = timestep_end
  []
  [twin_volume_fraction_9]
   type = MaterialStdVectorAux
   variable = twin_volume_fraction_9
   property = twin_twin_system_volume_fraction
   index = 9
   execute_on = timestep_end
  []
  [twin_volume_fraction_10]
   type = MaterialStdVectorAux
   variable = twin_volume_fraction_10
   property = twin_twin_system_volume_fraction
   index = 10
   execute_on = timestep_end
  []
  [twin_volume_fraction_11]
   type = MaterialStdVectorAux
   variable = twin_volume_fraction_11
   property = twin_twin_system_volume_fraction
   index = 11
   execute_on = timestep_end
  []
[]

[BCs]
  [fix_y]
    type = DirichletBC
    variable = disp_y
    preset = true
    boundary = 'bottom'
    value = 0
  []
  [fix_x]
    type = DirichletBC
    variable = disp_x
    boundary = 'left'
    value = 0
  []
  [fix_z]
    type = DirichletBC
    variable = disp_z
    boundary = 'back'
    value = 0
  []
  [tdisp]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = front
    function = '0.02*t'
  []
[]

[Materials]
  [elasticity_tensor]
    type = ComputeElasticityTensorCP
    C_ijkl = '1.684e5 1.214e5 1.214e5 1.684e5 1.214e5 1.684e5 0.754e5 0.754e5 0.754e5' # roughly copper
    fill_method = symmetric9
    euler_angle_1 = 54.74
    euler_angle_2 = 45.0
    euler_angle_3 = 270.0
  []
  [stress]
    type = ComputeMultipleCrystalPlasticityStress
    crystal_plasticity_models = 'twin_xtalpl slip_xtalpl'
    tan_mod_type = exact
  []
  [twin_xtalpl]
    type = CrystalPlasticityTwinningKalidindiUpdate
    base_name = twin
    number_slip_systems = 12
    slip_sys_file_name = 'fcc_input_twinning_systems.txt'
    initial_twin_lattice_friction = 60.0
  []
  [slip_xtalpl]
    type = CrystalPlasticityKalidindiUpdate
    number_slip_systems = 12
    slip_sys_file_name = input_slip_sys.txt
    total_twin_volume_fraction = 'twin_total_volume_fraction_twins'
  []
[]

[Postprocessors]
  [fp_zz]
    type = ElementAverageValue
    variable = fp_zz
  []
  [total_twin_volume_fraction]
    type = ElementAverageValue
    variable = total_twin_volume_fraction
  []
  [slip_increment_0]
    type = ElementAverageValue
    variable = slip_increment_0
  []
  [slip_increment_1]
    type = ElementAverageValue
    variable = slip_increment_1
  []
  [slip_increment_2]
    type = ElementAverageValue
    variable = slip_increment_2
  []
  [slip_increment_3]
    type = ElementAverageValue
    variable = slip_increment_3
  []
  [slip_increment_4]
    type = ElementAverageValue
    variable = slip_increment_4
  []
  [slip_increment_5]
    type = ElementAverageValue
    variable = slip_increment_5
  []
  [slip_increment_6]
    type = ElementAverageValue
    variable = slip_increment_6
  []
  [slip_increment_7]
    type = ElementAverageValue
    variable = slip_increment_7
  []
  [slip_increment_8]
    type = ElementAverageValue
    variable = slip_increment_8
  []
  [slip_increment_9]
    type = ElementAverageValue
    variable = slip_increment_9
  []
  [slip_increment_10]
    type = ElementAverageValue
    variable = slip_increment_10
  []
  [slip_increment_11]
    type = ElementAverageValue
    variable = slip_increment_11
  []
  [twin_volume_fraction_0]
    type = ElementAverageValue
    variable = twin_volume_fraction_0
  []
  [twin_volume_fraction_1]
    type = ElementAverageValue
    variable = twin_volume_fraction_1
  []
  [twin_volume_fraction_2]
    type = ElementAverageValue
    variable = twin_volume_fraction_2
  []
  [twin_volume_fraction_3]
    type = ElementAverageValue
    variable = twin_volume_fraction_3
  []
  [twin_volume_fraction_4]
    type = ElementAverageValue
    variable = twin_volume_fraction_4
  []
  [twin_volume_fraction_5]
    type = ElementAverageValue
    variable = twin_volume_fraction_5
  []
  [twin_volume_fraction_6]
    type = ElementAverageValue
    variable = twin_volume_fraction_6
  []
  [twin_volume_fraction_7]
    type = ElementAverageValue
    variable = twin_volume_fraction_7
  []
  [twin_volume_fraction_8]
    type = ElementAverageValue
    variable = twin_volume_fraction_8
  []
  [twin_volume_fraction_9]
    type = ElementAverageValue
    variable = twin_volume_fraction_9
  []
  [twin_volume_fraction_10]
    type = ElementAverageValue
    variable = twin_volume_fraction_10
  []
  [twin_volume_fraction_11]
    type = ElementAverageValue
    variable = twin_volume_fraction_11
  []
[]

[Preconditioning]
  [smp]
    type = SMP
    full = true
  []
[]

[Executioner]
  type = Transient
  solve_type = 'PJFNK'

  petsc_options_iname = '-pc_type -pc_asm_overlap -sub_pc_type -ksp_type -ksp_gmres_restart'
  petsc_options_value = ' asm      2              lu            gmres     200'
  nl_abs_tol = 1e-10
  nl_rel_tol = 1e-10
  nl_abs_step_tol = 1e-10

  dt = 0.005
  dtmin = 0.01
  num_steps = 6
[]

[Outputs]
  csv = true
  perf_graph = true
[]

(modules/solid_mechanics/test/tests/capped_weak_plane/small_deform3.i)

# Plastic deformation, tensile failure
# With Young = 10, poisson=0.25 (Lame lambda=4, mu=4)
# applying the following
# deformation to the zmax surface of a unit cube:
# disp_x = 4*t
# disp_y = 3*t
# disp_z = t
# should yield trial stress:
# stress_zz = 12*t
# stress_zx = 16*t
# stress_zy = 12*t
# Use tensile strength = 6, we should return to stress_zz = 6,
# and stress_xx = stress_yy = 2*t up to t=1 when the system is completely
# plastic, so these stress components will not change
[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]

[Physics/SolidMechanics/QuasiStatic]
  [./all]
    add_variables = true
    incremental = true
    generate_output = 'stress_xx stress_xy stress_xz stress_yy stress_yz stress_zz plastic_strain_xx plastic_strain_xy plastic_strain_xz plastic_strain_yy plastic_strain_yz plastic_strain_zz strain_xx strain_xy strain_xz strain_yy strain_yz strain_zz'
  [../]
[]

[BCs]
  [./bottomx]
    type = DirichletBC
    variable = disp_x
    boundary = back
    value = 0.0
  [../]
  [./bottomy]
    type = DirichletBC
    variable = disp_y
    boundary = back
    value = 0.0
  [../]
  [./bottomz]
    type = DirichletBC
    variable = disp_z
    boundary = back
    value = 0.0
  [../]

  [./topx]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = front
    function = 4*t
  [../]
  [./topy]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = front
    function = 3*t
  [../]
  [./topz]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = front
    function = t
  [../]
[]

[AuxVariables]
  [./f_shear]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f_tensile]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f_compressive]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./intnl_shear]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./intnl_tensile]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./iter]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./ls]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]

[AuxKernels]
  [./f_shear]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 0
    variable = f_shear
  [../]
  [./f_tensile]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 1
    variable = f_tensile
  [../]
  [./f_compressive]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 2
    variable = f_compressive
  [../]
  [./intnl_shear]
    type = MaterialStdVectorAux
    property = plastic_internal_parameter
    index = 0
    variable = intnl_shear
  [../]
  [./intnl_tensile]
    type = MaterialStdVectorAux
    property = plastic_internal_parameter
    index = 1
    variable = intnl_tensile
  [../]
  [./iter]
    type = MaterialRealAux
    property = plastic_NR_iterations
    variable = iter
  [../]
  [./ls]
    type = MaterialRealAux
    property = plastic_linesearch_needed
    variable = ls
  [../]
[]

[Postprocessors]
  [./stress_xx]
    type = PointValue
    point = '0 0 0'
    variable = stress_xx
  [../]
  [./stress_xy]
    type = PointValue
    point = '0 0 0'
    variable = stress_xy
  [../]
  [./stress_xz]
    type = PointValue
    point = '0 0 0'
    variable = stress_xz
  [../]
  [./stress_yy]
    type = PointValue
    point = '0 0 0'
    variable = stress_yy
  [../]
  [./stress_yz]
    type = PointValue
    point = '0 0 0'
    variable = stress_yz
  [../]
  [./stress_zz]
    type = PointValue
    point = '0 0 0'
    variable = stress_zz
  [../]
  [./strainp_xx]
    type = PointValue
    point = '0 0 0'
    variable = plastic_strain_xx
  [../]
  [./strainp_xy]
    type = PointValue
    point = '0 0 0'
    variable = plastic_strain_xy
  [../]
  [./strainp_xz]
    type = PointValue
    point = '0 0 0'
    variable = plastic_strain_xz
  [../]
  [./strainp_yy]
    type = PointValue
    point = '0 0 0'
    variable = plastic_strain_yy
  [../]
  [./strainp_yz]
    type = PointValue
    point = '0 0 0'
    variable = plastic_strain_yz
  [../]
  [./strainp_zz]
    type = PointValue
    point = '0 0 0'
    variable = plastic_strain_zz
  [../]
  [./straint_xx]
    type = PointValue
    point = '0 0 0'
    variable = strain_xx
  [../]
  [./straint_xy]
    type = PointValue
    point = '0 0 0'
    variable = strain_xy
  [../]
  [./straint_xz]
    type = PointValue
    point = '0 0 0'
    variable = strain_xz
  [../]
  [./straint_yy]
    type = PointValue
    point = '0 0 0'
    variable = strain_yy
  [../]
  [./straint_yz]
    type = PointValue
    point = '0 0 0'
    variable = strain_yz
  [../]
  [./straint_zz]
    type = PointValue
    point = '0 0 0'
    variable = strain_zz
  [../]
  [./f_shear]
    type = PointValue
    point = '0 0 0'
    variable = f_shear
  [../]
  [./f_tensile]
    type = PointValue
    point = '0 0 0'
    variable = f_tensile
  [../]
  [./f_compressive]
    type = PointValue
    point = '0 0 0'
    variable = f_compressive
  [../]
  [./intnl_shear]
    type = PointValue
    point = '0 0 0'
    variable = intnl_shear
  [../]
  [./intnl_tensile]
    type = PointValue
    point = '0 0 0'
    variable = intnl_tensile
  [../]
  [./iter]
    type = PointValue
    point = '0 0 0'
    variable = iter
  [../]
  [./ls]
    type = PointValue
    point = '0 0 0'
    variable = ls
  [../]
[]


[UserObjects]
  [./coh]
    type = SolidMechanicsHardeningConstant
    value = 80
  [../]
  [./tanphi]
    type = SolidMechanicsHardeningConstant
    value = 0.5
  [../]
  [./tanpsi]
    type = SolidMechanicsHardeningConstant
    value = 0.1111077
  [../]
  [./t_strength]
    type = SolidMechanicsHardeningConstant
    value = 6
  [../]
  [./c_strength]
    type = SolidMechanicsHardeningConstant
    value = 40
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    fill_method = symmetric_isotropic
    C_ijkl = '4 4'
  [../]
  [./admissible]
    type = ComputeMultipleInelasticStress
    inelastic_models = stress
    perform_finite_strain_rotations = false
  [../]
  [./stress]
    type = CappedWeakPlaneStressUpdate
    cohesion = coh
    tan_friction_angle = tanphi
    tan_dilation_angle = tanpsi
    tensile_strength = t_strength
    compressive_strength = c_strength
    tip_smoother = 0
    smoothing_tol = 0
    yield_function_tol = 1E-5
  [../]
[]

[Executioner]
  end_time = 2
  dt = 1
  type = Transient
[]

[Outputs]
  file_base = small_deform3
  csv = true
[]

(test/tests/geomsearch/2d_moving_penetration/pl_test1qtt.i)

[GlobalParams]
  order = SECOND
  family = LAGRANGE
[]

[Mesh]
  file = pl_test1q.e
  displacements = 'disp_x disp_y'
[]

[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
[]

[AuxVariables]
  [./distance]
  [../]
  [./tangential_distance]
  [../]
  [./normal_x]
  [../]
  [./normal_y]
  [../]
  [./closest_point_x]
  [../]
  [./closest_point_y]
  [../]
  [./element_id]
  [../]
  [./side]
  [../]
[]

[Kernels]
  [./diff_x]
    type = Diffusion
    variable = disp_x
  [../]
  [./diff_y]
    type = Diffusion
    variable = disp_y
  [../]
[]

[AuxKernels]
  [./penetrate]
    type = PenetrationAux
    variable = distance
    boundary = 11            #secondary
    paired_boundary = 12     #primary
    tangential_tolerance = 0.1
  [../]

  [./penetrate2]
    type = PenetrationAux
    variable = distance
    boundary = 12            #secondary
    paired_boundary = 11     #primary
    tangential_tolerance = 0.1
  [../]

  [./penetrate3]
    type = PenetrationAux
    variable = tangential_distance
    boundary = 11
    paired_boundary = 12
    quantity = tangential_distance
  [../]

  [./penetrate4]
    type = PenetrationAux
    variable = tangential_distance
    boundary = 12
    paired_boundary = 11
    quantity = tangential_distance
  [../]

  [./penetrate5]
    type = PenetrationAux
    variable = normal_x
    boundary = 11
    paired_boundary = 12
    quantity = normal_x
  [../]

  [./penetrate6]
    type = PenetrationAux
    variable = normal_x
    boundary = 12
    paired_boundary = 11
    quantity = normal_x
  [../]

  [./penetrate7]
    type = PenetrationAux
    variable = normal_y
    boundary = 11
    paired_boundary = 12
    quantity = normal_y
  [../]

  [./penetrate8]
    type = PenetrationAux
    variable = normal_y
    boundary = 12
    paired_boundary = 11
    quantity = normal_y
  [../]

  [./penetrate9]
    type = PenetrationAux
    variable = closest_point_x
    boundary = 11
    paired_boundary = 12
    quantity = closest_point_x
  [../]

  [./penetrate10]
    type = PenetrationAux
    variable = closest_point_x
    boundary = 12
    paired_boundary = 11
    quantity = closest_point_x
  [../]

  [./penetrate11]
    type = PenetrationAux
    variable = closest_point_y
    boundary = 11
    paired_boundary = 12
    quantity = closest_point_y
  [../]

  [./penetrate12]
    type = PenetrationAux
    variable = closest_point_y
    boundary = 12
    paired_boundary = 11
    quantity = closest_point_y
  [../]

  [./penetrate13]
    type = PenetrationAux
    variable = element_id
    boundary = 11
    paired_boundary = 12
    quantity = element_id
  [../]

  [./penetrate14]
    type = PenetrationAux
    variable = element_id
    boundary = 12
    paired_boundary = 11
    quantity = element_id
  [../]

  [./penetrate15]
    type = PenetrationAux
    variable = side
    boundary = 11
    paired_boundary = 12
    quantity = side
  [../]

  [./penetrate16]
    type = PenetrationAux
    variable = side
    boundary = 12
    paired_boundary = 11
    quantity = side
  [../]
[]

[BCs]
  [./b1x]
    type = DirichletBC
    variable = disp_x
    boundary = 1
    value = 0
  [../]

  [./b1y]
    type = DirichletBC
    variable = disp_y
    boundary = 1
    value = 0
  [../]

  [./b2x]
    type = DirichletBC
    variable = disp_x
    boundary = 2
    value = 0
  [../]

  [./b2y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 2
    function = disp_y
  [../]
[]

[Functions]
  [./disp_y]
    type = PiecewiseLinear
    x = '0.0 0.25 0.75 1.0'
    y = '0.0 0.7 -0.7  0.0'
  [../]
[]

[Executioner]
  type = Transient

  solve_type = 'PJFNK'
  petsc_options = '-snes_ksp_ew'

  nl_rel_tol = 1.e-9
  l_max_its = 10

  start_time = 0.0
  dt = 0.05
  end_time = 1.0
  [./Quadrature]
    order = THIRD
  [../]
[]

[Outputs]
  file_base = pl_test1qtt_out
  exodus = true
[]

(test/tests/time_integrators/newmark-beta/newmark_beta_inactive_steps.i)

###########################################################
# This is a simple test with a time-dependent problem
# demonstrating the use of the TimeIntegrator system.
#
# Testing that the active_time parameter works as intended.
#
###########################################################

[Mesh]
  type = GeneratedMesh
  dim = 2
  xmin = -1
  xmax = 1
  ymin = -1
  ymax = 1
  nx = 1
  ny = 1
[]

[Variables]
  [u]
  []
[]

[Functions]
  [forcing_fn]
    type = PiecewiseLinear
    x = '0.0 0.1 0.6'
    y = '0.0 1.0 1.0'
  []
[]

[Kernels]
  [ie]
    type = TimeDerivative
    variable = u
  []

  [diff]
    type = Diffusion
    variable = u
  []
[]

[BCs]
  [left]
    type = DirichletBC
    variable = u
    boundary = 'left'
    value = 0
  []
  [right]
    type = FunctionDirichletBC
    variable = u
    boundary = 'right'
    function = forcing_fn
  []
[]

[Executioner]
  type = Transient
  start_time = 0.0
  num_steps = 6
  dt = 0.1
  [TimeIntegrator]
    type = NewmarkBeta
    inactive_tsteps = 1
  []
[]

[Postprocessors]
  [udot]
    type = ElementAverageTimeDerivative
    variable = u
  []
  [udotdot]
    type = ElementAverageSecondTimeDerivative
    variable = u
  []
  [u]
    type = ElementAverageValue
    variable = u
  []
[]

[Outputs]
  csv = true
[]

(modules/solid_mechanics/test/tests/recompute_radial_return/uniaxial_viscoplasticity_incrementalstrain.i)

# This is a test of the HyperbolicViscoplasticityStressUpdate model
# using the small strain formulation. The material is a visco-plastic material
# i.e. a time-dependent linear strain hardening plasticity model.
# A similar problem was run in Abaqus with exactly the same result, although the element
# used in the Abaqus simulation was a CAX4 element.  Neverthless, due to the boundary conditions
# and load, the MOOSE and Abaqus result are the same.

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]

[Mesh]
  file = 1x1x1cube.e
[]

[Functions]
  [./top_pull]
    type = ParsedFunction
    expression = t/100
  [../]
[]

[Physics/SolidMechanics/QuasiStatic]
  [./all]
    strain = SMALL
    incremental = true
    add_variables = true
    generate_output = 'stress_yy plastic_strain_xx plastic_strain_yy plastic_strain_zz'
  [../]
[]

[BCs]
  [./y_pull_function]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 5
    function = top_pull
  [../]

  [./x_bot]
    type = DirichletBC
    variable = disp_x
    boundary = 4
    value = 0.0
  [../]

  [./y_bot]
    type = DirichletBC
    variable = disp_y
    boundary = 3
    value = 0.0
  [../]

  [./z_bot]
    type = DirichletBC
    variable = disp_z
    boundary = 2
    value = 0.0
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeIsotropicElasticityTensor
    youngs_modulus = 1000.0
    poissons_ratio = 0.3
  [../]
  [./viscoplasticity]
    type = HyperbolicViscoplasticityStressUpdate
    yield_stress = 10.0
    hardening_constant = 100.0
    c_alpha = 0.2418e-6
    c_beta = 0.1135
  [../]
  [./radial_return_stress]
    type = ComputeMultipleInelasticStress
    inelastic_models = 'viscoplasticity'
    tangent_operator = elastic
  [../]
[]

[Executioner]
  type = Transient

  solve_type = 'PJFNK'
  line_search = none


  petsc_options = '-snes_ksp_ew'
  petsc_options_iname = '-ksp_gmres_restart'
  petsc_options_value = '101'

  l_max_its = 100
  nl_max_its = 100
  nl_rel_tol = 1e-12
  nl_abs_tol = 1e-10
  l_tol = 1e-9

  start_time = 0.0
  num_steps = 30

  dt = 1.0
[]

[Outputs]
  [./out]
    type = Exodus
    elemental_as_nodal = true
  [../]
[]

(test/tests/multiapps/restart_subapp_ic/parent2.i)

[Mesh]
  type = GeneratedMesh
  dim = 2
  xmin = 0
  ymin = 0
  xmax = 1
  ymax = 1
  nx = 10
  ny = 10
[]

[Functions]
  [v_fn]
    type = ParsedFunction
    expression = t*x
  []
  [ffn]
    type = ParsedFunction
    expression = x
  []
[]

[AuxVariables]
  [v]
  []
[]

[Variables]
  [u]
  []
[]

[Kernels]
  [diff]
    type = Diffusion
    variable = u
  []
  [td]
    type = TimeDerivative
    variable = u
  []
  [ufn]
    type = BodyForce
    variable = u
    function = ffn
  []
[]

[BCs]
  [all]
    type = FunctionDirichletBC
    variable = u
    boundary = 'left right top bottom'
    function = v_fn
  []
[]

[Executioner]
  type = Transient
  num_steps = 5
  dt = 0.1
  solve_type = 'PJFNK'
[]

[Outputs]
  exodus = true
[]

[MultiApps]
  [sub_app]
    app_type = MooseTestApp
    type = TransientMultiApp
    input_files = 'sub2.i'
    execute_on = timestep_end
    positions = '0 -1 0'
  []
[]

[Transfers]
  [from_sub]
    type = MultiAppGeneralFieldNearestLocationTransfer
    from_multi_app = sub_app
    source_variable = u
    variable = v
  []
[]

[Problem]
  restart_file_base = parent_out_cp/0005
[]

(modules/navier_stokes/test/tests/finite_element/ins/RZ_cone/rz_cone_no_parts_steady.i)

# This input file tests several different things:
# .) The axisymmetric (RZ) form of the governing equations.
# .) An open boundary.
# .) Not integrating the pressure by parts, thereby requiring a pressure pin.
# .) Natural boundary condition at the outlet.
[GlobalParams]
  integrate_p_by_parts = false
  laplace = true
  gravity = '0 0 0'
[]

[Mesh]
  file = '2d_cone.msh'
[]

[Problem]
  coord_type = RZ
[]

[Preconditioning]
  [./SMP_PJFNK]
    type = SMP
    full = true
    solve_type = Newton
  [../]
[]

[Executioner]
  type = Steady

petsc_options_iname = '-pc_type -sub_pc_type -sub_pc_factor_levels'
  petsc_options_value = 'bjacobi  ilu          4'

  nl_rel_tol = 1e-12
  nl_max_its = 6
[]

[Outputs]
  console = true
  [./out]
    type = Exodus
  [../]
[]

[Variables]
  [./vel_x]
    # Velocity in radial (r) direction
    family = LAGRANGE
    order = SECOND
  [../]
  [./vel_y]
    # Velocity in axial (z) direction
    family = LAGRANGE
    order = SECOND
  [../]
  [./p]
    family = LAGRANGE
    order = FIRST
  [../]
[]

[BCs]
  [./p_corner]
    # This is required, because pressure term is *not* integrated by parts.
    type = DirichletBC
    boundary = top_right
    value = 0
    variable = p
  [../]
  [./u_in]
    type = DirichletBC
    boundary = bottom
    variable = vel_x
    value = 0
  [../]
  [./v_in]
    type = FunctionDirichletBC
    boundary = bottom
    variable = vel_y
    function = 'inlet_func'
  [../]
  [./u_axis_and_walls]
    type = DirichletBC
    boundary = 'left right'
    variable = vel_x
    value = 0
  [../]
  [./v_no_slip]
    type = DirichletBC
    boundary = 'right'
    variable = vel_y
    value = 0
  [../]
[]


[Kernels]
  [./mass]
    type = INSMassRZ
    variable = p
    u = vel_x
    v = vel_y
    pressure = p
  [../]
  [./x_momentum_space]
    type = INSMomentumLaplaceFormRZ
    variable = vel_x
    u = vel_x
    v = vel_y
    pressure = p
    component = 0
  [../]
  [./y_momentum_space]
    type = INSMomentumLaplaceFormRZ
    variable = vel_y
    u = vel_x
    v = vel_y
    pressure = p
    component = 1
  [../]
[]

[Materials]
  [./const]
    type = GenericConstantMaterial
    block = 'volume'
    prop_names = 'rho mu'
    prop_values = '1  1'
  [../]
[]

[Functions]
  [./inlet_func]
    type = ParsedFunction
    expression = '-4 * x^2 + 1'
  [../]
[]

[Postprocessors]
  [./flow_in]
    type = VolumetricFlowRate
    vel_x = vel_x
    vel_y = vel_y
    boundary = 'bottom'
    execute_on = 'timestep_end'
  [../]
  [./flow_out]
    type = VolumetricFlowRate
    vel_x = vel_x
    vel_y = vel_y
    boundary = 'top'
    execute_on = 'timestep_end'
  [../]
[]

(modules/solid_mechanics/test/tests/uel/small_test_uel_states_fields.i)

[Mesh]
  [gen]
    type = GeneratedMeshGenerator
    dim = 2
    nx = 20
    ny = 10
    # nx = 10
    # ny = 3
    xmax = 10
    ymax = 3
    elem_type = TRI3
  []
  [pin]
    type = ExtraNodesetGenerator
    nodes = 106
    new_boundary = pin
    input = gen
  []
  displacements = 'disp_x disp_y'
[]

[Variables]
  [disp_x]
  []
  [disp_y]
  []
[]

[AuxVariables]
  [temperature]
    initial_condition = 1500
  []
  [voltage]
    initial_condition = 210
  []
[]

[AuxKernels]
  [temperature]
    type = FunctionAux
    function = temperature_function
    variable = temperature
  []
  [voltage]
    type = FunctionAux
    function = voltage_function
    variable = voltage
  []
[]

[Functions]
  [voltage_function]
    type = PiecewiseLinear
    x = '0 15'
    y = '210 450'
  []
  [temperature_function]
    type = PiecewiseLinear
    x = '0 15'
    y = '1500 800'
  []
[]

[BCs]
  [left_x]
    type = DirichletBC
    variable = disp_x
    boundary = left
    value = 0
  []
  [left_y]
    type = DirichletBC
    variable = disp_y
    boundary = pin
    value = 0
  []

  inactive = 'right_dirichlet'
  # inactive = 'right_neumann'
  [right_neumann]
    type = FunctionNeumannBC
    variable = disp_x
    function = t
    boundary = right
  []
  [right_dirichlet]
    type = FunctionDirichletBC
    variable = disp_x
    function = t/10
    boundary = right
  []
[]

[UserObjects]
  [uel]
    type = AbaqusUserElement
    variables = 'disp_x disp_y'
    plugin = ../../../examples/uel_tri_states_tests/uel
    use_displaced_mesh = false
    num_state_vars = 8
    constant_properties = '100 0.3' # E nu
    external_fields = 'temperature voltage'
    extra_vector_tags = 'kernel_residual'
  []
[]

[Problem]
  kernel_coverage_check = false
  extra_tag_vectors = 'kernel_residual'
[]

[AuxVariables]
  [res_x]
  []
  [res_y]
  []
[]

[AuxKernels]
  [res_x]
    type = TagVectorAux
    variable = res_x
    v = disp_x
    vector_tag = kernel_residual
  []
  [res_y]
    type = TagVectorAux
    variable = res_y
    v = disp_y
    vector_tag = kernel_residual
  []
[]

[Executioner]
  type = Transient
  solve_type = NEWTON
  petsc_options_iname = '-pc_type'
  petsc_options_value = 'lu'
  dt = 1
  num_steps = 15
[]

[Postprocessors]
  [delta_l]
    type = SideAverageValue
    variable = disp_x
    boundary = right
    execute_on = 'INITIAL TIMESTEP_END'
  []
  [V]
    type = ElementIntegralMaterialProperty
    mat_prop = 1
    use_displaced_mesh = true
    execute_on = 'INITIAL TIMESTEP_END'
  []
[]

[Outputs]
  exodus = true
  csv = true
[]

(modules/heat_transfer/test/tests/heat_conduction_patch/heat_conduction_patch_hex20.i)

#
# This problem is taken from the Abaqus verification manual:
#   "1.5.8 Patch test for heat transfer elements"
#
# The temperature on the exterior nodes is 200x+100y+200z.
#
# This gives a constant flux at all Gauss points.
#
# In addition, the temperature at all nodes follows the same formula.
#
# Node x          y          z          Temperature
#   1  1.000E+00  0.000E+00  1.000E+00  4.0000E+02
#   2  6.770E-01  3.050E-01  6.830E-01  3.0250E+02
#   3  3.200E-01  1.860E-01  6.430E-01  2.1120E+02
#   4  0.000E+00  0.000E+00  1.000E+00  2.0000E+02
#   5  1.000E+00  1.000E+00  1.000E+00  5.0000E+02
#   6  7.880E-01  6.930E-01  6.440E-01  3.5570E+02
#   7  1.650E-01  7.450E-01  7.020E-01  2.4790E+02
#   8  0.000E+00  1.000E+00  1.000E+00  3.0000E+02
#   9  8.385E-01  1.525E-01  8.415E-01  3.5125E+02
#  10  4.985E-01  2.455E-01  6.630E-01  2.5685E+02
#  11  1.600E-01  9.300E-02  8.215E-01  2.0560E+02
#  12  5.000E-01  0.000E+00  1.000E+00  3.0000E+02
#  13  1.000E+00  5.000E-01  1.000E+00  4.5000E+02
#  14  7.325E-01  4.990E-01  6.635E-01  3.2910E+02
#  15  2.425E-01  4.655E-01  6.725E-01  2.2955E+02
#  16  0.000E+00  5.000E-01  1.000E+00  2.5000E+02
#  17  8.940E-01  8.465E-01  8.220E-01  4.2785E+02
#  18  4.765E-01  7.190E-01  6.730E-01  3.0180E+02
#  19  8.250E-02  8.725E-01  8.510E-01  2.7395E+02
#  20  5.000E-01  1.000E+00  1.000E+00  4.0000E+02
#  21  1.000E+00  0.000E+00  0.000E+00  2.0000E+02
#  22  0.000E+00  0.000E+00  0.000E+00  0.0000E+00
#  23  8.260E-01  2.880E-01  2.880E-01  2.5160E+02
#  24  2.490E-01  3.420E-01  1.920E-01  1.2240E+02
#  25  1.000E+00  0.000E+00  5.000E-01  3.0000E+02
#  26  5.000E-01  0.000E+00  0.000E+00  1.0000E+02
#  27  0.000E+00  0.000E+00  5.000E-01  1.0000E+02
#  28  9.130E-01  1.440E-01  1.440E-01  2.2580E+02
#  29  1.245E-01  1.710E-01  9.600E-02  6.1200E+01
#  30  7.515E-01  2.965E-01  4.855E-01  2.7705E+02
#  31  5.375E-01  3.150E-01  2.400E-01  1.8700E+02
#  32  2.845E-01  2.640E-01  4.175E-01  1.6680E+02
#  33  2.730E-01  7.500E-01  2.300E-01  1.7560E+02
#  34  0.000E+00  1.000E+00  0.000E+00  1.0000E+02
#  35  2.610E-01  5.460E-01  2.110E-01  1.4900E+02
#  36  0.000E+00  5.000E-01  0.000E+00  5.0000E+01
#  37  2.190E-01  7.475E-01  4.660E-01  2.1175E+02
#  38  1.365E-01  8.750E-01  1.150E-01  1.3780E+02
#  39  0.000E+00  1.000E+00  5.000E-01  2.0000E+02
#  40  8.500E-01  6.490E-01  2.630E-01  2.8750E+02
#  41  8.380E-01  4.685E-01  2.755E-01  2.6955E+02
#  42  8.190E-01  6.710E-01  4.535E-01  3.2160E+02
#  43  5.615E-01  6.995E-01  2.465E-01  2.3155E+02
#  44  1.000E+00  1.000E+00  0.000E+00  3.0000E+02
#  45  1.000E+00  5.000E-01  0.000E+00  2.5000E+02
#  46  1.000E+00  1.000E+00  5.000E-01  4.0000E+02
#  47  9.250E-01  8.245E-01  1.315E-01  2.9375E+02
#  48  5.000E-01  1.000E+00  0.000E+00  2.0000E+02


[Mesh]#Comment
  file = heat_conduction_patch_hex20.e
[] # Mesh

[Functions]
  [./temps]
    type = ParsedFunction
    expression ='200*x+100*y+200*z'
  [../]
[] # Functions

[Variables]

  [./temp]
    order = SECOND
    family = LAGRANGE
  [../]

[] # Variables

[Kernels]

  [./heat_r]
    type = HeatConduction
    variable = temp
  [../]

[] # Kernels

[BCs]

  [./temps]
    type = FunctionDirichletBC
    variable = temp
    boundary = 10
    function = temps
  [../]

[] # BCs

[Materials]

  [./heat]
    type = HeatConductionMaterial
    block = 1
    specific_heat = 0.116
    thermal_conductivity = 4.85e-4
  [../]

[] # Materials

[Executioner]

  type = Steady

  #Preconditioned JFNK (default)
  solve_type = 'PJFNK'

  petsc_options_iname = '-pc_type -ksp_gmres_restart'
  petsc_options_value = 'lu       101'

  line_search = 'none'

  nl_abs_tol = 1e-11
  nl_rel_tol = 1e-10


  l_max_its = 20

  [./Quadrature]
    order = THIRD
  [../]

[] # Executioner

[Outputs]
  exodus = true
[] # Output

(modules/heat_transfer/test/tests/gap_heat_transfer_htonly/sphere3D.i)

#
# 3D Spherical Gap Heat Transfer Test.
#
# This test exercises 3D gap heat transfer for a constant conductivity gap.
#
# The mesh consists of an inner solid sphere of radius = 1 unit, and outer
# hollow sphere with an inner radius of 2. In other words, the gap between
# them is 1 radial unit in length.
#
# The conductivity of both spheres is set very large to achieve a uniform
# temperature in each sphere. The temperature of the center node of the
# inner sphere is ramped from 100 to 200 over one time unit. The
# temperature of the outside of the outer, hollow sphere is held fixed
# at 100.
#
# A simple analytical solution is possible for the integrated heat flux
# between the inner and outer spheres:
#
#  Integrated Flux = (T_left - T_right) * (gapK/(r^2*((1/r1)-(1/r2)))) * Area
#
# For gapK = 1 (default value)
#
# The area is taken as the area of the secondary (inner) surface:
#
# Area = 4 * pi * 1^2 (4*pi*r^2)
#
# The integrated heat flux across the gap at time 1 is then:
#
# 4*pi*k*delta_T/((1/r1)-(1/r2))
# 4*pi*1*100/((1/1) - (1/2)) =  2513.3 watts
#
# For comparison, see results from the integrated flux post processors.
# This simulation makes use of symmetry, so only 1/8 of the spheres is meshed
# As such, the integrated flux from the post processors is 1/8 of the total,
# or 314.159 watts... i.e. 100*pi.
# The value coming from the post processor is slightly less than this
# but converges as mesh refinement increases.
#
# Simulating contact is challenging. Regression tests that exercise
# contact features can be difficult to solve consistently across multiple
# platforms. While designing these tests, we felt it worth while to note
# some aspects of these tests. The following applies to:
# sphere3D.i, sphere2DRZ.i, cyl2D.i, and cyl3D.i.
# 1. We decided that to perform consistently across multiple platforms we
# would use very small convergence tolerance. In this test we chose an
# nl_rel_tol of 1e-12.
# 2. Due to such a high value for thermal conductivity (used here so that the
# domains come to a uniform temperature) the integrated flux at time = 0
# was relatively large (the value coming from SideIntegralFlux =
#  -_diffusion_coef[_qp]*_grad_u[_qp]*_normals[_qp] where the diffusion coefficient
# here is thermal conductivity).
# Even though _grad_u[_qp] is small, in this case the diffusion coefficient
# is large. The result is a number that isn't exactly zero and tends to
# fail exodiff. For this reason the parameter execute_on = initial should not
# be used. That parameter is left to default settings in these regression tests.
#
[GlobalParams]
  order = SECOND
  family = LAGRANGE
[]

[Mesh]
  file = sphere3D.e
[]

[Functions]
  [./temp]
    type = PiecewiseLinear
    x = '0   1'
    y = '100 200'
  [../]
[]

[Variables]
  [./temp]
   initial_condition = 100
  [../]
[]

[AuxVariables]
  [./gap_conductance]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]

[Kernels]
  [./heat_conduction]
    type = HeatConduction
    variable = temp
  [../]
[]


[AuxKernels]
  [./gap_cond]
    type = MaterialRealAux
    property = gap_conductance
    variable = gap_conductance
    boundary = 2
  [../]
[]

[Materials]
  [./heat1]
    type = HeatConductionMaterial
    block = '1 2'
    specific_heat = 1.0
    thermal_conductivity = 100000000.0
  [../]
[]

[ThermalContact]
  [./thermal_contact]
    type = GapHeatTransfer
    variable = temp
    primary = 3
    secondary = 2
    emissivity_primary = 0
    emissivity_secondary = 0
    gap_conductivity = 1
    quadrature = true
    gap_geometry_type = SPHERE
    sphere_origin = '0 0 0'
  [../]
[]

[BCs]
  [./mid]
    type = FunctionDirichletBC
    boundary = 5
    variable = temp
    function = temp
  [../]
  [./temp_far_right]
    type = DirichletBC
    boundary = 4
    variable = temp
    value = 100
  [../]
[]

[Executioner]
  type = Transient
  solve_type = 'PJFNK'

  petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
  petsc_options_value = 'lu       superlu_dist'

  dt = 1
  dtmin = 0.01
  end_time = 1

  nl_rel_tol = 1e-12
  nl_abs_tol = 1e-7

  [./Quadrature]
     order = fifth
     side_order = seventh
  [../]
[]

[Outputs]
  exodus = true
  [./Console]
    type = Console
  [../]
[]

[Postprocessors]
  [./temp_left]
    type = SideAverageValue
    boundary = 2
    variable = temp
  [../]

  [./temp_right]
    type = SideAverageValue
    boundary = 3
    variable = temp
  [../]

  [./flux_left]
    type = SideDiffusiveFluxIntegral
    variable = temp
    boundary = 2
    diffusivity = thermal_conductivity
  [../]

  [./flux_right]
    type = SideDiffusiveFluxIntegral
    variable = temp
    boundary = 3
    diffusivity = thermal_conductivity
  [../]
[]

(modules/solid_mechanics/test/tests/crystal_plasticity/monolithic_material_based/orthotropic_rotation_Cijkl.i)

# This test is designed to test the correct application of the Euler angle
# rotations to the elasticity tensor. The test uses values for the nine C_ijkl
# entries that correspond to the engineering notation placement:
#  e.g. C11 = 11e3, c12 = 12e3, c13 = 13e3, c22 = 22e3 ..... c66 = 66e3
#
# A rotation of (0, 90, 0) is applied to the 1x1x1 cube, such that the values of
# c12 and c13 switch, c22 and c33 switch, and c55 and c66 switch. Postprocessors
# are used to verify this switch (made simple with the value convention above)
# and to verify that the unrotated components along the x-axis remain constant.

[Mesh]
  type = GeneratedMesh
  dim = 3
[]

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]

[AuxVariables]
  [./lage_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./lage_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./pk2_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./lage_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./fp_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./c11]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./c12]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./c13]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./c22]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./c23]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./c33]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./c44]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./c55]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./c66]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]

[Functions]
  [./tdisp]
    type = ParsedFunction
    expression = 0.01*t
  [../]
[]

[Physics/SolidMechanics/QuasiStatic]
  [./all]
    strain = FINITE
    add_variables = true
  [../]
[]

[AuxKernels]
  [./lage_xx]
    type = RankTwoAux
    rank_two_tensor = lage
    variable = lage_xx
    index_i = 0
    index_j = 0
    execute_on = timestep_end
  [../]
  [./lage_yy]
    type = RankTwoAux
    rank_two_tensor = lage
    variable = lage_yy
    index_i = 1
    index_j = 1
    execute_on = timestep_end
  [../]
  [./pk2_yy]
    type = RankTwoAux
    variable = pk2_yy
    rank_two_tensor = pk2
    index_j = 1
    index_i = 1
    execute_on = timestep_end
  [../]
  [./lage_zz]
    type = RankTwoAux
    rank_two_tensor = lage
    variable = lage_zz
    index_i = 2
    index_j = 2
    execute_on = timestep_end
  [../]
  [./fp_yy]
    type = RankTwoAux
    variable = fp_yy
    rank_two_tensor = fp
    index_i = 1
    index_j = 1
    execute_on = timestep_end
  [../]
  [./c11]
    type = RankFourAux
    variable = c11
    rank_four_tensor = elasticity_tensor
    index_i = 0
    index_j = 0
    index_k = 0
    index_l = 0
    execute_on = timestep_end
  [../]
  [./c12]
    type = RankFourAux
    variable = c12
    rank_four_tensor = elasticity_tensor
    index_i = 0
    index_j = 0
    index_k = 1
    index_l = 1
    execute_on = timestep_end
  [../]
  [./c13]
    type = RankFourAux
    variable = c13
    rank_four_tensor = elasticity_tensor
    index_i = 0
    index_j = 0
    index_k = 2
    index_l = 2
    execute_on = timestep_end
  [../]
  [./c22]
    type = RankFourAux
    variable = c22
    rank_four_tensor = elasticity_tensor
    index_i = 1
    index_j = 1
    index_k = 1
    index_l = 1
    execute_on = timestep_end
  [../]
  [./c23]
    type = RankFourAux
    variable = c23
    rank_four_tensor = elasticity_tensor
    index_i = 1
    index_j = 1
    index_k = 2
    index_l = 2
    execute_on = timestep_end
  [../]
  [./c33]
    type = RankFourAux
    variable = c33
    rank_four_tensor = elasticity_tensor
    index_i = 2
    index_j = 2
    index_k = 2
    index_l = 2
    execute_on = timestep_end
  [../]
  [./c44]
    type = RankFourAux
    variable = c44
    rank_four_tensor = elasticity_tensor
    index_i = 1
    index_j = 2
    index_k = 1
    index_l = 2
    execute_on = timestep_end
  [../]
  [./c55]
    type = RankFourAux
    variable = c55
    rank_four_tensor = elasticity_tensor
    index_i = 2
    index_j = 0
    index_k = 2
    index_l = 0
    execute_on = timestep_end
  [../]
  [./c66]
    type = RankFourAux
    variable = c66
    rank_four_tensor = elasticity_tensor
    index_i = 0
    index_j = 1
    index_k = 0
    index_l = 1
    execute_on = timestep_end
  [../]
[]

[BCs]
  [./bottom]
    type = DirichletBC
    variable = disp_y
    boundary = bottom
    value = 0
  [../]
  [./left]
    type = DirichletBC
    variable = disp_x
    boundary = left
    value = 0
  [../]
  [./back]
    type = DirichletBC
    variable = disp_z
    boundary = back
    value = 0
  [../]
  [./top]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = top
    function = tdisp
  [../]
[]

[Materials]
  [./crysp]
    type = FiniteStrainCrystalPlasticity
    block = 0
    gtol = 1e-2
    slip_sys_file_name = input_slip_sys.txt
    nss = 12
    num_slip_sys_flowrate_props = 2 #Number of properties in a slip system
    flowprops = '1 4 0.001 0.1 5 8 0.001 0.1 9 12 0.001 0.1'
    hprops = '1.0 541.5 60.8 109.8 2.5'
    gprops = '1 4 60.8e3 5 8 60.8e3 9 12 60.8e3'
    tan_mod_type = exact
  [../]
  [./elasticity_tensor]
    type = ComputeElasticityTensorCP
    C_ijkl = '11e3 12e3 13e3 22e3 23e3 33e3 44e3 55e3 66e3'
    fill_method = symmetric9
    euler_angle_1 = 0.0
    euler_angle_2 = 90.0
    euler_angle_3 = 0.0
  [../]
[]

[Postprocessors]
  [./lage_xx]
    type = ElementAverageValue
    variable = lage_xx
  [../]
  [./pk2_yy]
    type = ElementAverageValue
    variable = pk2_yy
  [../]
  [./lage_yy]
    type = ElementAverageValue
    variable = lage_yy
  [../]
  [./lage_zz]
    type = ElementAverageValue
    variable = lage_zz
  [../]
  [./fp_yy]
    type = ElementAverageValue
    variable = fp_yy
  [../]
  [./c11]
    type = ElementAverageValue
    variable = c11
  [../]
  [./c12]
    type = ElementAverageValue
    variable = c12
  [../]
  [./c13]
    type = ElementAverageValue
    variable = c13
  [../]
  [./c22]
    type = ElementAverageValue
    variable = c22
  [../]
  [./c23]
    type = ElementAverageValue
    variable = c23
  [../]
  [./c33]
    type = ElementAverageValue
    variable = c33
  [../]
  [./c44]
    type = ElementAverageValue
    variable = c44
  [../]
  [./c55]
    type = ElementAverageValue
    variable = c55
  [../]
  [./c66]
    type = ElementAverageValue
    variable = c66
  [../]
[]

[Executioner]
  type = Transient
  solve_type = PJFNK

  l_tol = 1e-3
  petsc_options_iname = '-pc_type -pc_asm_overlap -sub_pc_type -ksp_type -ksp_gmres_restart'
  petsc_options_value = ' asm      1              lu            gmres     200'
  nl_abs_tol = 1e-10
  nl_rel_tol = 1e-10

  dtmax = 0.1
  dtmin = 1.0e-3
  dt = 0.05
  end_time = 0.5
[]

[Outputs]
  exodus = false
  csv = true
[]

(modules/solid_mechanics/test/tests/mean_cap_TC/small_deform5.i)

# apply nonuniform stretch in x, y and z directions using
# Lame lambda = 0.7E7, Lame mu = 1.0E7,
# trial_stress(0, 0) = 2.9
# trial_stress(1, 1) = 10.9
# trial_stress(2, 2) = 14.9
# With tensile_strength = 2, decaying to zero at internal parameter = 4E-7
# via a Cubic, the algorithm should return to:
# internal parameter = 2.26829E-7
# trace(stress) = 0.799989 = tensile_strength
# stress(0, 0) = -6.4
# stress(1, 1) = 1.6
# stress(2, 2) = 5.6

[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]


[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
[]

[Kernels]
  [SolidMechanics]
    displacements = 'disp_x disp_y disp_z'
  [../]
[]


[BCs]
  [./x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'front back'
    function = '-1E-7*x'
  [../]
  [./y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'front back'
    function = '3E-7*y'
  [../]
  [./z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'front back'
    function = '5E-7*z'
  [../]
[]

[AuxVariables]
  [./stress_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]

[AuxKernels]
  [./stress_xx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xx
    index_i = 0
    index_j = 0
  [../]
  [./stress_xy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xy
    index_i = 0
    index_j = 1
  [../]
  [./stress_xz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xz
    index_i = 0
    index_j = 2
  [../]
  [./stress_yy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yy
    index_i = 1
    index_j = 1
  [../]
  [./stress_yz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yz
    index_i = 1
    index_j = 2
  [../]
  [./stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zz
    index_i = 2
    index_j = 2
  [../]
  [./f]
    type = MaterialStdVectorAux
    index = 0
    property = plastic_yield_function
    variable = f
  [../]
[]

[Postprocessors]
  [./s_xx]
    type = PointValue
    point = '0 0 0'
    variable = stress_xx
  [../]
  [./s_xy]
    type = PointValue
    point = '0 0 0'
    variable = stress_xy
  [../]
  [./s_xz]
    type = PointValue
    point = '0 0 0'
    variable = stress_xz
  [../]
  [./s_yy]
    type = PointValue
    point = '0 0 0'
    variable = stress_yy
  [../]
  [./s_yz]
    type = PointValue
    point = '0 0 0'
    variable = stress_yz
  [../]
  [./s_zz]
    type = PointValue
    point = '0 0 0'
    variable = stress_zz
  [../]
  [./f]
    type = PointValue
    point = '0 0 0'
    variable = f
  [../]
[]

[UserObjects]
  [./tensile_strength]
    type = SolidMechanicsHardeningCubic
    value_0 = 2
    value_residual = 0
    internal_limit = 4E-7
  [../]
  [./compressive_strength]
    type = SolidMechanicsHardeningCubic
    value_0 = -1
    value_residual = 0
    internal_limit = 1E-8
  [../]
  [./cap]
    type = SolidMechanicsPlasticMeanCapTC
    tensile_strength = tensile_strength
    compressive_strength = compressive_strength
    yield_function_tolerance = 1E-5
    internal_constraint_tolerance = 1E-11
    use_custom_returnMap = false
    use_custom_cto = false
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    block = 0
    fill_method = symmetric_isotropic
    C_ijkl = '0.7E7 1E7'
  [../]
  [./strain]
    type = ComputeIncrementalStrain
    block = 0
    displacements = 'disp_x disp_y disp_z'
  [../]
  [./mean_cap]
    type = ComputeMultiPlasticityStress
    block = 0
    ep_plastic_tolerance = 1E-11
    plastic_models = cap
  [../]
[]


[Executioner]
  end_time = 1
  dt = 1
  type = Transient
[]


[Outputs]
  file_base = small_deform5
  exodus = false
  [./csv]
    type = CSV
  [../]
[]

(python/peacock/tests/common/transient.i)

###########################################################
# This is a simple test with a time-dependent problem
# demonstrating the use of a "Transient" Executioner.
#
# @Requirement F1.10
###########################################################


[Mesh]
  type = GeneratedMesh
  dim = 2
  xmin = -1
  xmax = 1
  ymin = -1
  ymax = 1
  nx = 10
  ny = 10
  elem_type = QUAD4
[]

[Variables]
  active = 'u'

  [./u]
    order = FIRST
    family = LAGRANGE

    [./InitialCondition]
      type = ConstantIC
      value = 0
    [../]
  [../]
[]

[Functions]
  [./forcing_fn]
    type = ParsedFunction
    # dudt = 3*t^2*(x^2 + y^2)
    expression = 3*t*t*((x*x)+(y*y))-(4*t*t*t)
  [../]

  [./exact_fn]
    type = ParsedFunction
    expression = t*t*t*((x*x)+(y*y))
  [../]
[]

[Kernels]
  active = 'diff ie ffn'

  [./ie]
    type = TimeDerivative
    variable = u
  [../]

  [./diff]
    type = Diffusion
    variable = u
  [../]

  [./ffn]
    type = BodyForce
    variable = u
    function = forcing_fn
  [../]
[]

[BCs]
  active = 'all'

  [./all]
    type = FunctionDirichletBC
    variable = u
    boundary = '0 1 2 3'
    function = exact_fn
  [../]

  [./left]
    type = DirichletBC
    variable = u
    boundary = 3
    value = 0
  [../]

  [./right]
    type = DirichletBC
    variable = u
    boundary = 1
    value = 1
  [../]
[]

[Postprocessors]
  [./l2_err]
    type = ElementL2Error
    variable = u
    function = exact_fn
  [../]

  [./dt]
    type = TimestepSize
  [../]
[]

[Executioner]
  type = Transient
  scheme = 'implicit-euler'

  # Preconditioned JFNK (default)
  solve_type = 'PJFNK'

  start_time = 0.0
  num_steps = 5
  dt = 0.1
[]

[Outputs]
  execute_on = 'timestep_end'
  file_base = out_transient
  exodus = true
[]

(modules/solid_mechanics/test/tests/smeared_cracking/cracking_rz_exponential.i)

#
# Test to exercise the exponential stress release
#
# Stress vs. strain should show a linear relationship until cracking,
#   an exponential stress release, a linear relationship back to zero
#   strain, a linear relationship with the original stiffness in
#   compression and then back to zero strain, a linear relationship
#   back to the exponential curve, and finally further exponential
#   stress release.

[Mesh]
  file = cracking_rz_test.e
[]

[Problem]
  coord_type = RZ
[]

[GlobalParams]
  displacements = 'disp_x disp_y'
[]

[Functions]
  [./disply]
    type = PiecewiseLinear
    x = '0 1       2  3      4 5       6'
    y = '0 0.00175 0 -0.0001 0 0.00175 0.0035'
  [../]
[]

[Physics/SolidMechanics/QuasiStatic]
  [./all]
    strain = FINITE
    add_variables = true
    generate_output = 'stress_xx stress_yy stress_zz stress_xy stress_yz stress_zx'
  [../]
[]

[BCs]
  [./pully]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 4
    function = disply
  [../]
  [./bottom]
    type = DirichletBC
    variable = disp_y
    boundary = 3
    value = 0.0
  [../]

  [./sides]
    type = DirichletBC
    variable = disp_x
    boundary = 1
    value = 0.0
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeIsotropicElasticityTensor
    youngs_modulus = 186.5e9
    poissons_ratio = 0.316
  [../]
  [./elastic_stress]
    type = ComputeSmearedCrackingStress
    cracking_stress = 119.3e6
    cracked_elasticity_type = FULL
    softening_models = exponential_softening
  [../]
  [./exponential_softening]
    type = ExponentialSoftening
  [../]
[]

[Executioner]
  type = Transient

  solve_type = 'PJFNK'

  petsc_options_iname = '-ksp_gmres_restart -pc_type'
  petsc_options_value = '101                lu'

  line_search = 'none'
  l_max_its = 100
  l_tol = 1e-5

  nl_max_its = 10
  nl_rel_tol = 1e-8

  nl_abs_tol = 1e-3

  start_time = 0.0
  end_time = 6.0
  dt = 0.005
  dtmin = 0.005
[]

[Outputs]
  exodus = true
[]

(test/tests/time_integrators/actually_explicit_euler_verification/ee-2d-linear.i)

[Mesh]
  type = GeneratedMesh
  dim = 2
  xmin = -1
  xmax = 1
  ymin = -1
  ymax = 1
  nx = 10
  ny = 10
  elem_type = QUAD4
[]

[Functions]
  [./ic]
    type = ParsedFunction
    expression = 0
  [../]

  [./forcing_fn]
    type = ParsedFunction
    expression = (x+y)
  [../]

  [./exact_fn]
    type = ParsedFunction
    expression = t*(x+y)
  [../]
[]

[Variables]
  [./u]
    order = FIRST
    family = LAGRANGE

    [./InitialCondition]
      type = FunctionIC
      function = ic
    [../]
  [../]
[]

[Kernels]
  [./ie]
    type = TimeDerivative
    variable = u
  [../]

  [./diff]
    type = Diffusion
    variable = u
  [../]

  [./ffn]
    type = BodyForce
    variable = u
    function = forcing_fn
  [../]
[]

[BCs]
  [./all]
    type = FunctionDirichletBC
    variable = u
    preset = false
    boundary = '0 1 2 3'
    function = exact_fn
  [../]
[]

[Postprocessors]
  [./l2_err]
    type = ElementL2Error
    variable = u
    function = exact_fn
  [../]
[]

[Executioner]
  type = Transient

  start_time = 0.0
  num_steps = 20
  dt = 0.00005
  l_tol = 1e-12

  [./TimeIntegrator]
    type = ActuallyExplicitEuler
  [../]
[]

[Outputs]
  exodus = true
  [./console]
    type = Console
    max_rows = 10
  [../]
[]

(modules/solid_mechanics/test/tests/j2_plasticity/hard2.i)

# UserObject J2 test, with hardening, but with rate=1E6
# apply uniform compression in x direction to give
# trial stress_xx = 5, so sqrt(3*J2) = 5
# with zero Poisson's ratio, lambda_mu = 1E6, and strength=2, strength_residual=1,
# the equations that we need to solve are:
#
# stress_yy = stress_zz  [because of the symmetry of the problem: to keep Lode angle constant]
# stress_xx - stress_yy = 1 + (2 - 1)*exp(-0.5*(1E6*q)^2)   [yield_fcn = 0]
# stress_xx + stress_yy + stress_zz = 5   [mean stress constant]
# q = gamma
# stress_xx = 1E6*2*gamma*(stress_xx - 5/3)*sqrt(3)/2/sqrt(J2), where sqrt(J2) = (1 + (2 - 1)*exp(-0.5*(1E6*q)^2))/Sqrt(3)
# so RHS = 1E6*2*gamma*(stress_xx - 5/3)*3/2/(stress_xx - stress_yy)
#
# stress_xx = 2.672
# stress_yy = 1.164
# q = 1.164E-6

[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]


[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
[]

[Kernels]
  [SolidMechanics]
    displacements = 'disp_x disp_y disp_z'
  [../]
[]


[BCs]
  [./x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'front back'
    function = '2.5E-6*x'
  [../]
  [./y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'front back'
    function = '0E-6*y'
  [../]
  [./z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'front back'
    function = '0E-6*z'
  [../]
[]

[AuxVariables]
  [./stress_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./iter]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./intnl]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]

[AuxKernels]
  [./stress_xx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xx
    index_i = 0
    index_j = 0
  [../]
  [./stress_xy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xy
    index_i = 0
    index_j = 1
  [../]
  [./stress_xz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xz
    index_i = 0
    index_j = 2
  [../]
  [./stress_yy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yy
    index_i = 1
    index_j = 1
  [../]
  [./stress_yz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yz
    index_i = 1
    index_j = 2
  [../]
  [./stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zz
    index_i = 2
    index_j = 2
  [../]
  [./f]
    type = MaterialStdVectorAux
    index = 0
    property = plastic_yield_function
    variable = f
  [../]
  [./iter]
    type = MaterialRealAux
    property = plastic_NR_iterations
    variable = iter
  [../]
  [./intnl]
    type = MaterialStdVectorAux
    index = 0
    property = plastic_internal_parameter
    variable = intnl
  [../]
[]

[Postprocessors]
  [./s_xx]
    type = PointValue
    point = '0 0 0'
    variable = stress_xx
  [../]
  [./s_xy]
    type = PointValue
    point = '0 0 0'
    variable = stress_xy
  [../]
  [./s_xz]
    type = PointValue
    point = '0 0 0'
    variable = stress_xz
  [../]
  [./s_yy]
    type = PointValue
    point = '0 0 0'
    variable = stress_yy
  [../]
  [./s_yz]
    type = PointValue
    point = '0 0 0'
    variable = stress_yz
  [../]
  [./s_zz]
    type = PointValue
    point = '0 0 0'
    variable = stress_zz
  [../]
  [./f]
    type = PointValue
    point = '0 0 0'
    variable = f
  [../]
  [./iter]
    type = PointValue
    point = '0 0 0'
    variable = iter
  [../]
  [./intnl]
    type = PointValue
    point = '0 0 0'
    variable = intnl
  [../]
[]

[UserObjects]
  [./str]
    type = SolidMechanicsHardeningGaussian
    value_0 = 2
    value_residual = 1
    rate = 1E12
  [../]
  [./j2]
    type = SolidMechanicsPlasticJ2
    yield_strength = str
    yield_function_tolerance = 1E-5
    internal_constraint_tolerance = 1E-9
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    block = 0
    fill_method = symmetric_isotropic
    C_ijkl = '0 1E6'
  [../]
  [./strain]
    type = ComputeFiniteStrain
    block = 0
    displacements = 'disp_x disp_y disp_z'
  [../]
  [./mc]
    type = ComputeMultiPlasticityStress
    block = 0
    ep_plastic_tolerance = 1E-9
    plastic_models = j2
    debug_fspb = crash
  [../]
[]


[Executioner]
  end_time = 1
  dt = 1
  type = Transient
[]


[Outputs]
  file_base = hard2
  exodus = false
  [./csv]
    type = CSV
    [../]
[]

(modules/contact/test/tests/mortar_tm/2d/frictionless_second/finite.i)

E_block = 1e7
E_plank = 1e7
elem = QUAD9
order = SECOND
name = 'finite'

[Mesh]
  patch_size = 80
  patch_update_strategy = auto
  [plank]
    type = GeneratedMeshGenerator
    dim = 2
    xmin = -0.3
    xmax = 0.3
    ymin = -10
    ymax = 10
    nx = 2
    ny = 67
    elem_type = ${elem}
    boundary_name_prefix = plank
  []
  [plank_id]
    type = SubdomainIDGenerator
    input = plank
    subdomain_id = 1
  []

  [block]
    type = GeneratedMeshGenerator
    dim = 2
    xmin = 0.31
    xmax = 0.91
    ymin = 7.7
    ymax = 8.5
    nx = 3
    ny = 4
    elem_type = ${elem}
    boundary_name_prefix = block
    boundary_id_offset = 10
  []
  [block_id]
    type = SubdomainIDGenerator
    input = block
    subdomain_id = 2
  []

  [combined]
    type = MeshCollectionGenerator
    inputs = 'plank_id block_id'
  []
  [block_rename]
    type = RenameBlockGenerator
    input = combined
    old_block = '1 2'
    new_block = 'plank block'
  []
[]

[GlobalParams]
  displacements = 'disp_x disp_y'
[]

[Variables]
  [disp_x]
    order = ${order}
    block = 'plank block'
    scaling = '${fparse 2.0 / (E_plank + E_block)}'
  []
  [disp_y]
    order = ${order}
    block = 'plank block'
    scaling = '${fparse 2.0 / (E_plank + E_block)}'
  []
[]

[Physics/SolidMechanics/QuasiStatic]
  [action]
    strain = FINITE
    generate_output = 'stress_xx stress_yy stress_zz vonmises_stress hydrostatic_stress strain_xx '
                      'strain_yy strain_zz'
    block = 'plank block'
  []
[]

[Contact]
  [frictionless]
    primary = plank_right
    secondary = block_left
    formulation = mortar
    c_normal = 1e0
  []
[]

[BCs]
  [left_x]
    type = DirichletBC
    variable = disp_x
    preset = false
    boundary = plank_left
    value = 0.0
  []
  [left_y]
    type = DirichletBC
    variable = disp_y
    preset = false
    boundary = plank_bottom
    value = 0.0
  []
  [right_x]
    type = FunctionDirichletBC
    variable = disp_x
    preset = false
    boundary = block_right
    function = '-0.04*sin(4*(t+1.5))+0.02'
  []
  [right_y]
    type = FunctionDirichletBC
    variable = disp_y
    preset = false
    boundary = block_right
    function = '-t'
  []
[]

[Materials]
  [plank]
    type = ComputeIsotropicElasticityTensor
    block = 'plank'
    poissons_ratio = 0.3
    youngs_modulus = ${E_plank}
  []
  [block]
    type = ComputeIsotropicElasticityTensor
    block = 'block'
    poissons_ratio = 0.3
    youngs_modulus = ${E_block}
  []
  [stress]
    type = ComputeFiniteStrainElasticStress
    block = 'plank block'
  []
[]

[Preconditioning]
  [smp]
    type = SMP
    full = true
  []
[]

[Executioner]
  type = Transient
  solve_type = 'NEWTON'
  petsc_options = '-snes_converged_reason -ksp_converged_reason'
  petsc_options_iname = '-pc_type -mat_mffd_err -pc_factor_shift_type -pc_factor_shift_amount'
  petsc_options_value = 'lu       1e-5          NONZERO               1e-15'
  end_time = 5.0
  dt = 0.1
  dtmin = 0.1
  timestep_tolerance = 1e-6
  line_search = 'contact'
  l_max_its = 30
[]

[Postprocessors]
  [nl_its]
    type = NumNonlinearIterations
  []
  [total_nl_its]
    type = CumulativeValuePostprocessor
    postprocessor = nl_its
  []
  [l_its]
    type = NumLinearIterations
  []
  [total_l_its]
    type = CumulativeValuePostprocessor
    postprocessor = l_its
  []
  [contact]
    type = ContactDOFSetSize
    variable = frictionless_normal_lm
    subdomain = frictionless_secondary_subdomain
  []
  [avg_hydro]
    type = ElementAverageValue
    variable = hydrostatic_stress
    block = 'block'
  []
  [max_hydro]
    type = ElementExtremeValue
    variable = hydrostatic_stress
    block = 'block'
  []
  [min_hydro]
    type = ElementExtremeValue
    variable = hydrostatic_stress
    block = 'block'
    value_type = min
  []
  [avg_vonmises]
    type = ElementAverageValue
    variable = vonmises_stress
    block = 'block'
  []
  [max_vonmises]
    type = ElementExtremeValue
    variable = vonmises_stress
    block = 'block'
  []
  [min_vonmises]
    type = ElementExtremeValue
    variable = vonmises_stress
    block = 'block'
    value_type = min
  []
[]

[Outputs]
  file_base = ${name}
  [comp]
    type = CSV
    show = 'contact'
  []
  [out]
    type = CSV
    file_base = '${name}_out'
  []
[]

[Debug]
  show_var_residual_norms = true
[]

(modules/navier_stokes/test/tests/finite_element/ins/jeffery_hamel/wedge_dirichlet.i)

# This input file tests whether we can converge to the semi-analytical
# solution for flow in a 2D wedge.
[GlobalParams]
  gravity = '0 0 0'

  # Params used by the WedgeFunction for computing the exact solution.
  # The value of K is only required for comparing the pressure to the
  # exact solution, and is computed by the associated jeffery_hamel.py
  # script.
  alpha_degrees = 15
  Re = 30
  K = -9.78221333616
  f = f_theta
[]

[Mesh]
  [file]
    type = FileMeshGenerator
    # file = wedge_4x6.e
    file = wedge_8x12.e
    # file = wedge_16x24.e
    # file = wedge_32x48.e
    # file = wedge_64x96.e
  []
  [./corner_node]
    # Pin is on the centerline of the channel on the left-hand side of
    # the domain at r=1.  If you change the domain, you will need to
    # update this pin location for the pressure exact solution to
    # work.
    type = ExtraNodesetGenerator
    new_boundary = pinned_node
    coord = '1 0'
    input = file
  [../]
[]


[Variables]
  [./vel_x]
    order = SECOND
    family = LAGRANGE
  [../]
  [./vel_y]
    order = SECOND
    family = LAGRANGE
  [../]
  [./p]
    order = FIRST
    family = LAGRANGE
  [../]
[]

[Kernels]
  [./mass]
    type = INSMass
    variable = p
    u = vel_x
    v = vel_y
    pressure = p
  [../]
  [./x_momentum_time]
    type = INSMomentumTimeDerivative
    variable = vel_x
  [../]
  [./x_momentum_space]
    type = INSMomentumLaplaceForm
    variable = vel_x
    u = vel_x
    v = vel_y
    pressure = p
    component = 0
  [../]
  [./y_momentum_time]
    type = INSMomentumTimeDerivative
    variable = vel_y
  [../]
  [./y_momentum_space]
    type = INSMomentumLaplaceForm
    variable = vel_y
    u = vel_x
    v = vel_y
    pressure = p
    component = 1
  [../]
[]

[BCs]
  [./vel_x_no_slip]
    type = DirichletBC
    variable = vel_x
    boundary = 'top_wall bottom_wall'
    value = 0.0
  [../]
  [./vel_y_no_slip]
    type = DirichletBC
    variable = vel_y
    boundary = 'top_wall bottom_wall'
    value = 0.0
  [../]
  [./vel_x_inlet]
    type = FunctionDirichletBC
    variable = vel_x
    boundary = 'inlet outlet'
    function = 'vel_x_exact'
  [../]
  [./vel_y_inlet]
    type = FunctionDirichletBC
    variable = vel_y
    boundary = 'inlet outlet'
    function = 'vel_y_exact'
  [../]
  [./pressure_pin]
    type = DirichletBC
    variable = p
    boundary = 'pinned_node'
    value = 0
  [../]
[]

[Materials]
  [./const]
    type = GenericConstantMaterial
    block = 1
    prop_names = 'rho mu'
    prop_values = '1  1'
  [../]
[]

[Preconditioning]
  [./SMP_PJFNK]
    type = SMP
    full = true
    solve_type = NEWTON
  [../]
[]

[Executioner]
  type = Transient
  dt = 1.e-2
  dtmin = 1.e-2
  num_steps = 5
  petsc_options_iname = '-ksp_gmres_restart -pc_type -sub_pc_type -sub_pc_factor_levels'
  petsc_options_value = '300                bjacobi  ilu          4'
  line_search = none
  nl_rel_tol = 1e-13
  nl_abs_tol = 1e-11
  nl_max_its = 10
  l_tol = 1e-6
  l_max_its = 300
[]

[Outputs]
  exodus = true
[]

[Functions]
  [./f_theta]
    # Non-dimensional solution values f(eta), 0 <= eta <= 1 for
    # alpha=15 deg, Re=30.  Note: this introduces an input file
    # ordering dependency: this Function must appear *before* the two
    # functions below which use it since apparently proper dependency
    # resolution is not done in this scenario.
    type = PiecewiseLinear
    data_file = 'f.csv'
    format = 'columns'
  [../]
  [./vel_x_exact]
    type = WedgeFunction
    var_num = 0
    mu = 1
    rho = 1
  [../]
  [./vel_y_exact]
    type = WedgeFunction
    var_num = 1
    mu = 1
    rho = 1
  [../]
  [./p_exact]
    type = WedgeFunction
    var_num = 2
    mu = 1
    rho = 1
  [../]
[]

[Postprocessors]
  [./vel_x_L2_error]
    type = ElementL2Error
    variable = vel_x
    function = vel_x_exact
    execute_on = 'initial timestep_end'
  [../]
  [./vel_y_L2_error]
    type = ElementL2Error
    variable = vel_y
    function = vel_y_exact
    execute_on = 'initial timestep_end'
  [../]
  [./p_L2_error]
    type = ElementL2Error
    variable = p
    function = p_exact
    execute_on = 'initial timestep_end'
  [../]
[]

(test/tests/time_steppers/timesequence_stepper/timesequence_restart_failure.i)

[Mesh]
  file = timesequence_restart_failure1_cp/0002-mesh.cpa.gz
[]

[Problem]
  restart_file_base = timesequence_restart_failure1_cp/0002
  # There is an initial conditions overwriting the restart on the nonlinear variable u
  # As you can see in the gold file, this makes the initial step output be from the
  # initial condition
  allow_initial_conditions_with_restart = true
[]

[Functions]
  [exact_fn]
    type = ParsedFunction
    expression = t*t*(x*x+y*y)
  []

  [forcing_fn]
    type = ParsedFunction
    expression = 2*t*(x*x+y*y)-4*t*t
  []
[]

[Variables]
  [u]
    family = LAGRANGE
    order = SECOND
  []
[]

[ICs]
  [u_var]
    type = FunctionIC
    variable = u
    function = exact_fn
  []
[]

[Kernels]
  [td]
    type = TimeDerivative
    variable = u
  []

  [diff]
    type = Diffusion
    variable = u
  []

  [ffn]
    type = BodyForce
    variable = u
    function = forcing_fn
  []
[]

[BCs]
  [all]
    type = FunctionDirichletBC
    variable = u
    boundary = 'left right top bottom'
    function = exact_fn
  []
[]

[Executioner]
  type = Transient
  end_time = 4.0
  [TimeStepper]
    type = TimeSequenceStepper
    time_sequence = '0   0.85 1.2 1.3 2 4'
  []
[]

[Outputs]
  exodus = true
[]

(test/tests/geomsearch/2d_moving_penetration/pl_test3qtt.i)

[GlobalParams]
  order = SECOND
  family = LAGRANGE
[]

[Mesh]
  file = pl_test3q.e
  displacements = 'disp_x disp_y'
[]

[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
[]

[AuxVariables]
  [./distance]
  [../]
  [./tangential_distance]
  [../]
  [./normal_x]
  [../]
  [./normal_y]
  [../]
  [./closest_point_x]
  [../]
  [./closest_point_y]
  [../]
  [./element_id]
  [../]
  [./side]
  [../]
[]

[Kernels]
  [./diff_x]
    type = Diffusion
    variable = disp_x
  [../]
  [./diff_y]
    type = Diffusion
    variable = disp_y
  [../]
[]

[AuxKernels]
  [./penetrate]
    type = PenetrationAux
    variable = distance
    boundary = 11            #secondary
    paired_boundary = 12     #primary
    tangential_tolerance = 0.09
  [../]

  [./penetrate2]
    type = PenetrationAux
    variable = distance
    boundary = 12            #secondary
    paired_boundary = 11     #primary
    tangential_tolerance = 0.09
  [../]

  [./penetrate3]
    type = PenetrationAux
    variable = tangential_distance
    boundary = 11
    paired_boundary = 12
    quantity = tangential_distance
  [../]

  [./penetrate4]
    type = PenetrationAux
    variable = tangential_distance
    boundary = 12
    paired_boundary = 11
    quantity = tangential_distance
  [../]

  [./penetrate5]
    type = PenetrationAux
    variable = normal_x
    boundary = 11
    paired_boundary = 12
    quantity = normal_x
  [../]

  [./penetrate6]
    type = PenetrationAux
    variable = normal_x
    boundary = 12
    paired_boundary = 11
    quantity = normal_x
  [../]

  [./penetrate7]
    type = PenetrationAux
    variable = normal_y
    boundary = 11
    paired_boundary = 12
    quantity = normal_y
  [../]

  [./penetrate8]
    type = PenetrationAux
    variable = normal_y
    boundary = 12
    paired_boundary = 11
    quantity = normal_y
  [../]

  [./penetrate9]
    type = PenetrationAux
    variable = closest_point_x
    boundary = 11
    paired_boundary = 12
    quantity = closest_point_x
  [../]

  [./penetrate10]
    type = PenetrationAux
    variable = closest_point_x
    boundary = 12
    paired_boundary = 11
    quantity = closest_point_x
  [../]

  [./penetrate11]
    type = PenetrationAux
    variable = closest_point_y
    boundary = 11
    paired_boundary = 12
    quantity = closest_point_y
  [../]

  [./penetrate12]
    type = PenetrationAux
    variable = closest_point_y
    boundary = 12
    paired_boundary = 11
    quantity = closest_point_y
  [../]

  [./penetrate13]
    type = PenetrationAux
    variable = element_id
    boundary = 11
    paired_boundary = 12
    quantity = element_id
  [../]

  [./penetrate14]
    type = PenetrationAux
    variable = element_id
    boundary = 12
    paired_boundary = 11
    quantity = element_id
  [../]

  [./penetrate15]
    type = PenetrationAux
    variable = side
    boundary = 11
    paired_boundary = 12
    quantity = side
  [../]

  [./penetrate16]
    type = PenetrationAux
    variable = side
    boundary = 12
    paired_boundary = 11
    quantity = side
  [../]
[]

[BCs]
  [./b1x]
    type = DirichletBC
    variable = disp_x
    boundary = 1
    value = 0
  [../]

  [./b1y]
    type = DirichletBC
    variable = disp_y
    boundary = 1
    value = 0
  [../]

  [./b2x]
    type = DirichletBC
    variable = disp_x
    boundary = 2
    value = 0
  [../]

  [./b2y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 2
    function = disp_y
  [../]
[]

[Functions]
  [./disp_y]
    type = PiecewiseLinear
    x = '0.0 0.25 0.75 1.0'
    y = '0.0 2.0 -2.0  0.0'
  [../]
[]

[Executioner]
  type = Transient

  solve_type = 'PJFNK'
  petsc_options = '-snes_ksp_ew'

  nl_rel_tol = 1e-9
  l_max_its = 10

  start_time = 0.0
  dt = 0.02
  end_time = 1.0
  [./Quadrature]
    order = THIRD
  [../]
[]

[Outputs]
  file_base = pl_test3qtt_out
  exodus = true
[]

(test/tests/restart/restart_steady_from_transient/steady_from_transient_restart.i)

[Mesh]
  [fmg]
    type = FileMeshGenerator
    file = transient_out_cp/LATEST
  []
  parallel_type = replicated
[]

[Functions]
  [./exact_fn]
    type = ParsedFunction
    expression = ((x*x)+(y*y))
  [../]

  [./forcing_fn]
    type = ParsedFunction
    expression = -4
  [../]
[]

[Variables]
  [./u]
    order = FIRST
    family = LAGRANGE
  [../]
[]

[Kernels]
  [./diff]
    type = Diffusion
    variable = u
  [../]

  [./ffn]
    type = BodyForce
    variable = u
    function = forcing_fn
  [../]
[]

[BCs]
  [./all]
    type = FunctionDirichletBC
    variable = u
    boundary = '0 1 2 3'
    function = exact_fn
  [../]
[]

[Executioner]
  type = Steady

  solve_type = 'PJFNK'
[]

[Outputs]
  exodus = true
[]

[Problem]
  restart_file_base = transient_out_cp/LATEST
[]

(modules/solid_mechanics/test/tests/shell/static/inclined_straintest.i)

# Static test for the inclined shell element.
# A single shell element is oriented at a 45 deg. angle with respect to the Y axis.
# One end of the shell is fixed and an axial deformation to the shell element is
# applied at the other end by resolving the deformation into Y and Z direction.
# The stress and strain result in the global orientation when transformed to
# the shell oriention gives the correct value of the axial stress and strain.

[Mesh]
  type = FileMesh
  file = shell_inclined.e
  displacements = 'disp_x disp_y disp_z'
[]

[Variables]
  [disp_x]
  []
  [disp_y]
  []
  [disp_z]
  []
  [rot_x]
  []
  [rot_y]
  []
[]

[AuxVariables]
  [stress_xx]
    order = CONSTANT
    family = MONOMIAL
  []
  [strain_xx]
    order = CONSTANT
    family = MONOMIAL
  []
  [stress_yy]
    order = CONSTANT
    family = MONOMIAL
  []
  [strain_yy]
    order = CONSTANT
    family = MONOMIAL
  []
  [stress_xy]
    order = CONSTANT
    family = MONOMIAL
  []
  [strain_xy]
    order = CONSTANT
    family = MONOMIAL
  []
  [stress_yz]
    order = CONSTANT
    family = MONOMIAL
  []
  [strain_yz]
    order = CONSTANT
    family = MONOMIAL
  []
  [stress_xz]
    order = CONSTANT
    family = MONOMIAL
  []
  [strain_xz]
    order = CONSTANT
    family = MONOMIAL
  []
  [stress_zz]
    order = CONSTANT
    family = MONOMIAL
  []
  [strain_zz]
    order = CONSTANT
    family = MONOMIAL
  []
[]

[AuxKernels]
  [stress_xx]
    type = RankTwoAux
    variable = stress_xx
    selected_qp = 0
    rank_two_tensor = global_stress_t_points_0
    index_i = 0
    index_j = 0
  []
  [strain_xx]
    type = RankTwoAux
    variable = strain_xx
    rank_two_tensor = total_global_strain_t_points_0
    selected_qp = 0
    index_i = 0
    index_j = 0
  []
  [stress_yy]
    type = RankTwoAux
    variable = stress_yy
    rank_two_tensor = global_stress_t_points_0
    selected_qp = 0
    index_i = 1
    index_j = 1
  []
  [strain_yy]
    type = RankTwoAux
    variable = strain_yy
    rank_two_tensor = total_global_strain_t_points_0
    selected_qp = 0
    index_i = 1
    index_j = 1
  []
  [stress_xy]
    type = RankTwoAux
    variable = stress_xy
    rank_two_tensor = global_stress_t_points_0
    selected_qp = 0
    index_i = 0
    index_j = 1
  []
  [strain_xy]
    type = RankTwoAux
    variable = strain_xy
    rank_two_tensor = total_global_strain_t_points_0
    selected_qp = 0
    index_i = 0
    index_j = 1
  []
  [stress_yz]
    type = RankTwoAux
    variable = stress_yz
    rank_two_tensor = global_stress_t_points_0
    selected_qp = 0
    index_i = 1
    index_j = 2
  []
  [strain_yz]
    type = RankTwoAux
    variable = strain_yz
    rank_two_tensor = total_global_strain_t_points_0
    selected_qp = 0
    index_i = 1
    index_j = 2
  []
  [stress_xz]
    type = RankTwoAux
    variable = stress_xz
    rank_two_tensor = global_stress_t_points_0
    selected_qp = 0
    index_i = 0
    index_j = 2
  []
  [strain_xz]
    type = RankTwoAux
    variable = strain_xz
    rank_two_tensor = total_global_strain_t_points_0
    selected_qp = 0
    index_i = 0
    index_j = 2
  []
  [stress_zz]
    type = RankTwoAux
    variable = stress_zz
    rank_two_tensor = global_stress_t_points_0
    selected_qp = 0
    index_i = 2
    index_j = 2
  []
  [strain_zz]
    type = RankTwoAux
    variable = strain_zz
    rank_two_tensor = total_global_strain_t_points_0
    selected_qp = 0
    index_i = 2
    index_j = 2
  []
[]

[BCs]
  [fixy1]
    type = DirichletBC
    variable = disp_y
    boundary = '0'
    value = 0.0
  []
  [fixz1]
    type = DirichletBC
    variable = disp_z
    boundary = '0'
    value = 0.0
  []
  [fixr1]
    type = DirichletBC
    variable = rot_x
    boundary = '0'
    value = 0.0
  []
  [fixr2]
    type = DirichletBC
    variable = rot_y
    boundary = '0'
    value = 0.0
  []
  [fixx1]
    type = DirichletBC
    variable = disp_x
    boundary = '0'
    value = 0.0
  []
  [dispz]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = '2'
    function = force_function
  []
  [dispy]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = '2'
    function = force_function
  []
[]

[Functions]
  [force_function]
    type = PiecewiseLinear
    x = '0.0 1'
    y = '0.0 0.33535534'
  []
[]

[Kernels]
  [solid_disp_x]
    type = ADStressDivergenceShell
    block = '0'
    component = 0
    variable = disp_x
    through_thickness_order = SECOND
  []
  [solid_disp_y]
    type = ADStressDivergenceShell
    block = '0'
    component = 1
    variable = disp_y
    through_thickness_order = SECOND
  []
  [solid_disp_z]
    type = ADStressDivergenceShell
    block = '0'
    component = 2
    variable = disp_z
    through_thickness_order = SECOND
  []
  [solid_rot_x]
    type = ADStressDivergenceShell
    block = '0'
    component = 3
    variable = rot_x
    through_thickness_order = SECOND
  []
  [solid_rot_y]
    type = ADStressDivergenceShell
    block = '0'
    component = 4
    variable = rot_y
    through_thickness_order = SECOND
  []
[]

[Materials]
  [elasticity]
    type = ADComputeIsotropicElasticityTensorShell
    youngs_modulus = 5
    poissons_ratio = 0.0
    block = 0
    through_thickness_order = SECOND
  []
  [strain]
    type = ADComputeIncrementalShellStrain
    block = '0'
    displacements = 'disp_x disp_y disp_z'
    rotations = 'rot_x rot_y'
    thickness = 0.1
    through_thickness_order = SECOND
  []
  [stress]
    type = ADComputeShellStress
    block = 0
    through_thickness_order = SECOND
  []
[]

[Postprocessors]
  [stress_yy_el_0]
    type = ElementalVariableValue
    elementid = 0
    variable = stress_yy
  []
  [strain_yy_el_0]
    type = ElementalVariableValue
    elementid = 0
    variable = strain_yy
  []
  [stress_yz_el_0]
    type = ElementalVariableValue
    elementid = 0
    variable = stress_yz
  []
  [strain_yz_el_0]
    type = ElementalVariableValue
    elementid = 0
    variable = strain_yz
  []
  [stress_xx_el_0]
    type = ElementalVariableValue
    elementid = 0
    variable = stress_xx
  []
  [strain_xx_el_0]
    type = ElementalVariableValue
    elementid = 0
    variable = strain_xx
  []
  [stress_xy_el_0]
    type = ElementalVariableValue
    elementid = 0
    variable = stress_xy
  []
  [strain_xy_el_0]
    type = ElementalVariableValue
    elementid = 0
    variable = strain_xy
  []
  [stress_xz_el_0]
    type = ElementalVariableValue
    elementid = 0
    variable = stress_xz
  []
  [strain_xz_el_0]
    type = ElementalVariableValue
    elementid = 0
    variable = strain_xz
  []
  [stress_zz_el_0]
    type = ElementalVariableValue
    elementid = 0
    variable = stress_zz
  []
  [strain_zz_el_0]
    type = ElementalVariableValue
    elementid = 0
    variable = strain_zz
  []
[]

[Preconditioning]
  [smp]
    type = SMP
    full = true
  []
[]

[Executioner]
  type = Transient
  solve_type = PJFNK
  l_tol = 1e-11
  nl_max_its = 15
  nl_rel_tol = 1e-11
  nl_abs_tol = 1e-10
  l_max_its = 20
  dt = 1
  dtmin = 0.01
  timestep_tolerance = 2e-13
  end_time = 1
[]

[Outputs]
  exodus = true
[]

(modules/solid_mechanics/test/tests/neml2/viscoplasticity/isoharden.i)

N = 2

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]

[Mesh]
  [gmg]
    type = GeneratedMeshGenerator
    dim = 3
    nx = ${N}
    ny = ${N}
    nz = ${N}
  []
[]

[Physics]
  [SolidMechanics]
    [QuasiStatic]
      [all]
        strain = SMALL
        new_system = true
        add_variables = true
        formulation = TOTAL
        volumetric_locking_correction = true
      []
    []
  []
[]

[NEML2]
  input = 'isoharden_neml2.i'
  [all]
    model = 'model'
    verbose = true
    device = 'cpu'

    moose_input_types = 'MATERIAL     MATERIAL     POSTPROCESSOR POSTPROCESSOR MATERIAL     MATERIAL'
    moose_inputs = '     neml2_strain neml2_strain time          time          neml2_stress equivalent_plastic_strain'
    neml2_inputs = '     forces/E     old_forces/E forces/t      old_forces/t  old_state/S  old_state/internal/ep'

    moose_output_types = 'MATERIAL     MATERIAL'
    moose_outputs = '     neml2_stress equivalent_plastic_strain'
    neml2_outputs = '     state/S      state/internal/ep'

    moose_derivative_types = 'MATERIAL'
    moose_derivatives = 'neml2_jacobian'
    neml2_derivatives = 'state/S forces/E'
  []
[]

[Postprocessors]
  [time]
    type = TimePostprocessor
    execute_on = 'INITIAL TIMESTEP_BEGIN'
  []
[]

[Materials]
  [convert_strain]
    type = RankTwoTensorToSymmetricRankTwoTensor
    from = 'mechanical_strain'
    to = 'neml2_strain'
  []
  [stress]
    type = ComputeLagrangianObjectiveCustomSymmetricStress
    custom_small_stress = 'neml2_stress'
    custom_small_jacobian = 'neml2_jacobian'
  []
[]

[BCs]
  [xfix]
    type = DirichletBC
    variable = disp_x
    boundary = left
    value = 0
  []
  [yfix]
    type = DirichletBC
    variable = disp_y
    boundary = bottom
    value = 0
  []
  [zfix]
    type = DirichletBC
    variable = disp_z
    boundary = back
    value = 0
  []
  [xdisp]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = right
    function = t
    preset = false
  []
[]

[Executioner]
  type = Transient
  solve_type = NEWTON
  petsc_options_iname = '-pc_type'
  petsc_options_value = 'lu'
  automatic_scaling = true
  dt = 1e-3
  dtmin = 1e-3
  num_steps = 5
  residual_and_jacobian_together = true
[]

[Outputs]
  exodus = true
[]

(modules/solid_mechanics/test/tests/lagrangian/materials/correctness/cauchy-elastic.i)

# Simple 3D test

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
  large_kinematics = false
[]

[Variables]
  [disp_x]
  []
  [disp_y]
  []
  [disp_z]
  []
[]

[Mesh]
  [msh]
    type = GeneratedMeshGenerator
    dim = 3
    nx = 1
    ny = 1
    nz = 1
  []
[]

[Kernels]
  [sdx]
    type = TotalLagrangianStressDivergence
    variable = disp_x
    component = 0
  []
  [sdy]
    type = TotalLagrangianStressDivergence
    variable = disp_y
    component = 1
  []
  [sdz]
    type = TotalLagrangianStressDivergence
    variable = disp_z
    component = 2
  []
[]

[Functions]
  [strain]
    type = ParsedFunction
    expression = 't'
  []
[]

[BCs]
  [leftx]
    type = DirichletBC
    preset = true
    boundary = left
    variable = disp_x
    value = 0.0
  []
  [boty]
    type = DirichletBC
    preset = true
    boundary = bottom
    variable = disp_y
    value = 0.0
  []
  [backz]
    type = DirichletBC
    preset = true
    boundary = back
    variable = disp_z
    value = 0.0
  []

  [pull_x]
    type = FunctionDirichletBC
    boundary = right
    variable = disp_x
    function = strain
  []
[]

[Materials]
  [elastic_tensor]
    type = ComputeIsotropicElasticityTensor
    youngs_modulus = 100000.0
    poissons_ratio = 0.3
  []
  [compute_stress]
    type = ComputeLagrangianLinearElasticStress
  []
  [compute_strain]
    type = ComputeLagrangianStrain
  []
[]

[Preconditioning]
  [smp]
    type = SMP
    full = true
  []
[]

[Postprocessors]
  [sxx]
    type = ElementAverageValue
    variable = sxx
    execute_on = 'initial timestep_end'
  []
  [syy]
    type = ElementAverageValue
    variable = syy
    execute_on = 'initial timestep_end'
  []
  [sxy]
    type = ElementAverageValue
    variable = sxy
    execute_on = 'initial timestep_end'
  []

  [szz]
    type = ElementAverageValue
    variable = szz
    execute_on = 'initial timestep_end'
  []
  [syz]
    type = ElementAverageValue
    variable = syz
    execute_on = 'initial timestep_end'
  []
  [sxz]
    type = ElementAverageValue
    variable = sxz
    execute_on = 'initial timestep_end'
  []

  [exx]
    type = ElementAverageValue
    variable = exx
    execute_on = 'initial timestep_end'
  []
  [eyy]
    type = ElementAverageValue
    variable = eyy
    execute_on = 'initial timestep_end'
  []
  [exy]
    type = ElementAverageValue
    variable = exy
    execute_on = 'initial timestep_end'
  []

  [ezz]
    type = ElementAverageValue
    variable = ezz
    execute_on = 'initial timestep_end'
  []
  [eyz]
    type = ElementAverageValue
    variable = eyz
    execute_on = 'initial timestep_end'
  []
  [exz]
    type = ElementAverageValue
    variable = exz
    execute_on = 'initial timestep_end'
  []
[]

[AuxVariables]
  [sxx]
    family = MONOMIAL
    order = CONSTANT
  []
  [syy]
    family = MONOMIAL
    order = CONSTANT
  []
  [sxy]
    family = MONOMIAL
    order = CONSTANT
  []
  [szz]
    family = MONOMIAL
    order = CONSTANT
  []
  [syz]
    family = MONOMIAL
    order = CONSTANT
  []
  [sxz]
    family = MONOMIAL
    order = CONSTANT
  []
  [exx]
    family = MONOMIAL
    order = CONSTANT
  []
  [eyy]
    family = MONOMIAL
    order = CONSTANT
  []
  [exy]
    family = MONOMIAL
    order = CONSTANT
  []
  [ezz]
    family = MONOMIAL
    order = CONSTANT
  []
  [eyz]
    family = MONOMIAL
    order = CONSTANT
  []
  [exz]
    family = MONOMIAL
    order = CONSTANT
  []
[]

[AuxKernels]
  [sxx]
    type = RankTwoAux
    variable = sxx
    rank_two_tensor = cauchy_stress
    index_i = 0
    index_j = 0
  []
  [syy]
    type = RankTwoAux
    variable = syy
    rank_two_tensor = cauchy_stress
    index_i = 1
    index_j = 1
  []
  [sxy]
    type = RankTwoAux
    variable = sxy
    rank_two_tensor = cauchy_stress
    index_i = 0
    index_j = 1
  []

  [zz]
    type = RankTwoAux
    variable = szz
    rank_two_tensor = cauchy_stress
    index_i = 2
    index_j = 2
  []
  [syz]
    type = RankTwoAux
    variable = syz
    rank_two_tensor = cauchy_stress
    index_i = 1
    index_j = 2
  []
  [sxz]
    type = RankTwoAux
    variable = sxz
    rank_two_tensor = cauchy_stress
    index_i = 0
    index_j = 2
  []

  [exx]
    type = RankTwoAux
    variable = exx
    rank_two_tensor = mechanical_strain
    index_i = 0
    index_j = 0
  []
  [eyy]
    type = RankTwoAux
    variable = eyy
    rank_two_tensor = mechanical_strain
    index_i = 1
    index_j = 1
  []
  [exy]
    type = RankTwoAux
    variable = exy
    rank_two_tensor = mechanical_strain
    index_i = 0
    index_j = 1
  []

  [ezz]
    type = RankTwoAux
    variable = ezz
    rank_two_tensor = mechanical_strain
    index_i = 2
    index_j = 2
  []
  [eyz]
    type = RankTwoAux
    variable = eyz
    rank_two_tensor = mechanical_strain
    index_i = 1
    index_j = 2
  []
  [exz]
    type = RankTwoAux
    variable = exz
    rank_two_tensor = mechanical_strain
    index_i = 0
    index_j = 2
  []
[]

[Executioner]
  type = Transient

  solve_type = 'newton'
  line_search = none

  petsc_options_iname = '-pc_type'
  petsc_options_value = 'lu'

  l_max_its = 2
  l_tol = 1e-14
  nl_max_its = 5
  nl_rel_tol = 1e-8
  nl_abs_tol = 1e-10

  start_time = 0.0
  dt = 0.1
  dtmin = 0.1
  end_time = 0.1
[]

[Outputs]
  exodus = false
  csv = true
[]

(test/tests/restart/restart_add_variable/add_variable_restart.i)

# Use the exodus file for restarting the problem:
# - restart one variable
# - and have one extra variable
# - have PBP active to have more system in Equation system
#

[Mesh]
  file = transient_with_stateful_out.e
[]

[Functions]
  [./exact_fn]
    type = ParsedFunction
    expression = t*((x*x)+(y*y))
  [../]

  [./forcing_fn]
    type = ParsedFunction
    expression = -4+(x*x+y*y)
  [../]
[]

[Variables]
  [./u]
    order = FIRST
    family = LAGRANGE
  [../]

  [./v]
    order = FIRST
    family = LAGRANGE
  [../]
[]

[AuxVariables]
  [./diffusivity]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]

[AuxKernels]
  [./out_diffusivity]
    type = MaterialRealAux
    variable = diffusivity
    property = diffusivity
  [../]
[]

[Kernels]
  [./ie]
    type = TimeDerivative
    variable = u
  [../]

  [./diff]
    type = MatDiffusionTest
    variable = u
    prop_name = diffusivity
  [../]

  [./ffn]
    type = BodyForce
    variable = u
    function = forcing_fn
  [../]

  [./diff_v]
    type = Diffusion
    variable = v
  [../]
[]

[Materials]
  [./mat]
    type = StatefulMaterial
    block = 0
  [../]
[]

[BCs]
  [./all]
    type = FunctionDirichletBC
    variable = u
    boundary = '0 1 2 3'
    function = exact_fn
  [../]

  [./left_v]
    type = DirichletBC
    variable = v
    boundary = '3'
    value = 0
  [../]

  [./right_v]
    type = DirichletBC
    variable = v
    boundary = '1'
    value = 1
  [../]
[]

[Preconditioning]
  [./PBP]
    type = PBP
    solve_order = 'u v'
    preconditioner = 'AMG AMG'
  [../]
[]

[Executioner]
  type = Transient
  solve_type = JFNK
  dt = 0.1
  reset_dt = true #NECESSARY to force a change in DT when using restart!
  num_steps = 3
[]

[Outputs]
  [./out]
    type = Exodus
    elemental_as_nodal = true
    execute_elemental_on = none
  [../]
[]

[Problem]
  restart_file_base = transient_with_stateful_out_cp/LATEST
[]

(modules/porous_flow/test/tests/poro_elasticity/mandel_fully_saturated.i)

# Mandel's problem of consolodation of a drained medium
# Using the FullySaturatedDarcyBase and FullySaturatedMassTimeDerivative kernels
#
# A sample is in plane strain.
# -a <= x <= a
# -b <= y <= b
# It is squashed with constant force by impermeable, frictionless plattens on its top and bottom surfaces (at y=+/-b)
# Fluid is allowed to leak out from its sides (at x=+/-a)
# The porepressure within the sample is monitored.
#
# As is common in the literature, this is simulated by
# considering the quarter-sample, 0<=x<=a and 0<=y<=b, with
# impermeable, roller BCs at x=0 and y=0 and y=b.
# Porepressure is fixed at zero on x=a.
# Porepressure and displacement are initialised to zero.
# Then the top (y=b) is moved downwards with prescribed velocity,
# so that the total force that is inducing this downwards velocity
# is fixed.  The velocity is worked out by solving Mandel's problem
# analytically, and the total force is monitored in the simulation
# to check that it indeed remains constant.
#
# Here are the problem's parameters, and their values:
# Soil width.  a = 1
# Soil height.  b = 0.1
# Soil's Lame lambda.  la = 0.5
# Soil's Lame mu, which is also the Soil's shear modulus.  mu = G = 0.75
# Soil bulk modulus.  K = la + 2*mu/3 = 1
# Drained Poisson ratio.  nu = (3K - 2G)/(6K + 2G) = 0.2
# Soil bulk compliance.  1/K = 1
# Fluid bulk modulus.  Kf = 8
# Fluid bulk compliance.  1/Kf = 0.125
# Soil initial porosity.  phi0 = 0.1
# Biot coefficient.  alpha = 0.6
# Biot modulus.  M = 1/(phi0/Kf + (alpha - phi0)(1 - alpha)/K) = 4.705882
# Undrained bulk modulus. Ku = K + alpha^2*M = 2.694118
# Undrained Poisson ratio.  nuu = (3Ku - 2G)/(6Ku + 2G) = 0.372627
# Skempton coefficient.  B = alpha*M/Ku = 1.048035
# Fluid mobility (soil permeability/fluid viscosity).  k = 1.5
# Consolidation coefficient.  c = 2*k*B^2*G*(1-nu)*(1+nuu)^2/9/(1-nuu)/(nuu-nu) = 3.821656
# Normal stress on top.  F = 1
#
# The solution for porepressure and displacements is given in
# AHD Cheng and E Detournay "A direct boundary element method for plane strain poroelasticity" International Journal of Numerical and Analytical Methods in Geomechanics 12 (1988) 551-572.
# The solution involves complicated infinite series, so I shall not write it here

[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 10
  ny = 1
  nz = 1
  xmin = 0
  xmax = 1
  ymin = 0
  ymax = 0.1
  zmin = 0
  zmax = 1
[]

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
  PorousFlowDictator = dictator
  block = 0
[]

[UserObjects]
  [dictator]
    type = PorousFlowDictator
    porous_flow_vars = 'porepressure disp_x disp_y disp_z'
    number_fluid_phases = 1
    number_fluid_components = 1
  []
[]

[Variables]
  [disp_x]
  []
  [disp_y]
  []
  [disp_z]
  []
  [porepressure]
  []
[]

[BCs]
  [roller_xmin]
    type = DirichletBC
    variable = disp_x
    value = 0
    boundary = 'left'
  []
  [roller_ymin]
    type = DirichletBC
    variable = disp_y
    value = 0
    boundary = 'bottom'
  []
  [plane_strain]
    type = DirichletBC
    variable = disp_z
    value = 0
    boundary = 'back front'
  []
  [xmax_drained]
    type = DirichletBC
    variable = porepressure
    value = 0
    boundary = right
  []
  [top_velocity]
    type = FunctionDirichletBC
    variable = disp_y
    function = top_velocity
    boundary = top
  []
[]

[Functions]
  [top_velocity]
    type = PiecewiseLinear
    x = '0 0.002 0.006   0.014   0.03    0.046   0.062   0.078   0.094   0.11    0.126   0.142   0.158   0.174   0.19 0.206 0.222 0.238 0.254 0.27 0.286 0.302 0.318 0.334 0.35 0.366 0.382 0.398 0.414 0.43 0.446 0.462 0.478 0.494 0.51 0.526 0.542 0.558 0.574 0.59 0.606 0.622 0.638 0.654 0.67 0.686 0.702'
    y = '-0.041824842    -0.042730269    -0.043412712    -0.04428867     -0.045509181    -0.04645965     -0.047268246 -0.047974749      -0.048597109     -0.0491467  -0.049632388     -0.050061697      -0.050441198     -0.050776675     -0.051073238      -0.0513354 -0.051567152      -0.051772022     -0.051953128 -0.052113227 -0.052254754 -0.052379865 -0.052490464 -0.052588233 -0.052674662 -0.052751065 -0.052818606 -0.052878312 -0.052931093 -0.052977751 -0.053018997 -0.053055459 -0.053087691 -0.053116185 -0.053141373 -0.05316364 -0.053183324 -0.053200724 -0.053216106 -0.053229704 -0.053241725 -0.053252351 -0.053261745 -0.053270049 -0.053277389 -0.053283879 -0.053289615'
  []
[]

[AuxVariables]
  [stress_yy]
    order = CONSTANT
    family = MONOMIAL
  []
  [tot_force]
    order = CONSTANT
    family = MONOMIAL
  []
[]

[AuxKernels]
  [stress_yy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yy
    index_i = 1
    index_j = 1
  []
  [tot_force]
    type = ParsedAux
    coupled_variables = 'stress_yy porepressure'
    execute_on = timestep_end
    variable = tot_force
    expression = '-stress_yy+0.6*porepressure'
  []
[]

[Kernels]
  [grad_stress_x]
    type = StressDivergenceTensors
    variable = disp_x
    component = 0
  []
  [grad_stress_y]
    type = StressDivergenceTensors
    variable = disp_y
    component = 1
  []
  [grad_stress_z]
    type = StressDivergenceTensors
    variable = disp_z
    component = 2
  []
  [poro_x]
    type = PorousFlowEffectiveStressCoupling
    biot_coefficient = 0.6
    variable = disp_x
    component = 0
  []
  [poro_y]
    type = PorousFlowEffectiveStressCoupling
    biot_coefficient = 0.6
    variable = disp_y
    component = 1
  []
  [poro_z]
    type = PorousFlowEffectiveStressCoupling
    biot_coefficient = 0.6
    component = 2
    variable = disp_z
  []
  [mass0]
    type = PorousFlowFullySaturatedMassTimeDerivative
    biot_coefficient = 0.6
    coupling_type = HydroMechanical
    variable = porepressure
  []
  [flux]
    type = PorousFlowFullySaturatedDarcyBase
    variable = porepressure
    gravity = '0 0 0'
  []
[]

[FluidProperties]
  [simple_fluid]
    type = SimpleFluidProperties
    bulk_modulus = 8
    density0 = 1
    thermal_expansion = 0
    viscosity = 1
  []
[]

[Materials]
  [temperature]
    type = PorousFlowTemperature
  []
  [elasticity_tensor]
    type = ComputeElasticityTensor
    C_ijkl = '0.5 0.75'
    # bulk modulus is lambda + 2*mu/3 = 0.5 + 2*0.75/3 = 1
    fill_method = symmetric_isotropic
  []
  [strain]
    type = ComputeSmallStrain
  []
  [stress]
    type = ComputeLinearElasticStress
  []
  [eff_fluid_pressure_qp]
    type = PorousFlowEffectiveFluidPressure
  []
  [vol_strain]
    type = PorousFlowVolumetricStrain
  []
  [ppss]
    type = PorousFlow1PhaseFullySaturated
    porepressure = porepressure
  []
  [massfrac]
    type = PorousFlowMassFraction
  []
  [simple_fluid_qp]
    type = PorousFlowSingleComponentFluid
    fp = simple_fluid
    phase = 0
  []
  [porosity]
    type = PorousFlowPorosityConst # only the initial value of this is ever used
    porosity = 0.1
  []
  [biot_modulus]
    type = PorousFlowConstantBiotModulus
    biot_coefficient = 0.6
    solid_bulk_compliance = 1
    fluid_bulk_modulus = 8
  []
  [permeability]
    type = PorousFlowPermeabilityConst
    permeability = '1.5 0 0   0 1.5 0   0 0 1.5'
  []
[]

[Postprocessors]
  [p0]
    type = PointValue
    outputs = csv
    point = '0.0 0 0'
    variable = porepressure
  []
  [p1]
    type = PointValue
    outputs = csv
    point = '0.1 0 0'
    variable = porepressure
  []
  [p2]
    type = PointValue
    outputs = csv
    point = '0.2 0 0'
    variable = porepressure
  []
  [p3]
    type = PointValue
    outputs = csv
    point = '0.3 0 0'
    variable = porepressure
  []
  [p4]
    type = PointValue
    outputs = csv
    point = '0.4 0 0'
    variable = porepressure
  []
  [p5]
    type = PointValue
    outputs = csv
    point = '0.5 0 0'
    variable = porepressure
  []
  [p6]
    type = PointValue
    outputs = csv
    point = '0.6 0 0'
    variable = porepressure
  []
  [p7]
    type = PointValue
    outputs = csv
    point = '0.7 0 0'
    variable = porepressure
  []
  [p8]
    type = PointValue
    outputs = csv
    point = '0.8 0 0'
    variable = porepressure
  []
  [p9]
    type = PointValue
    outputs = csv
    point = '0.9 0 0'
    variable = porepressure
  []
  [p99]
    type = PointValue
    outputs = csv
    point = '1 0 0'
    variable = porepressure
  []
  [xdisp]
    type = PointValue
    outputs = csv
    point = '1 0.1 0'
    variable = disp_x
  []
  [ydisp]
    type = PointValue
    outputs = csv
    point = '1 0.1 0'
    variable = disp_y
  []
  [total_downwards_force]
     type = ElementAverageValue
     outputs = csv
     variable = tot_force
  []
  [dt]
    type = FunctionValuePostprocessor
    outputs = console
    function = if(0.15*t<0.01,0.15*t,0.01)
  []
[]

[Preconditioning]
  [andy]
    type = SMP
    full = true
    petsc_options_iname = '-ksp_type -pc_type -sub_pc_type -snes_atol -snes_rtol -snes_max_it'
    petsc_options_value = 'gmres asm lu 1E-14 1E-10 10000'
  []
[]

[Executioner]
  type = Transient
  solve_type = Newton
  start_time = 0
  end_time = 0.7
  [TimeStepper]
    type = PostprocessorDT
    postprocessor = dt
    dt = 0.001
  []
[]

[Outputs]
  execute_on = 'timestep_end'
  file_base = mandel_fully_saturated
  [csv]
    time_step_interval = 3
    type = CSV
  []
[]

(modules/contact/test/tests/tan-pen-and-scaling/bouncing-block-tan-pen.i)

starting_point = 2e-1
offset = 1e-2

[GlobalParams]
  displacements = 'disp_x disp_y'
[]

[Mesh]
  file = long-bottom-block-no-lower-d-coarse.e
[]

[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
[]

[ICs]
  [./disp_y]
    block = 2
    variable = disp_y
    value = ${fparse starting_point + offset}
    type = ConstantIC
  [../]
[]

[Physics/SolidMechanics/QuasiStatic]
  [all]
    add_variables = false
    use_automatic_differentiation = true
    strain = SMALL
  []
[]

[Materials]
  [elasticity]
    type = ADComputeIsotropicElasticityTensor
    youngs_modulus = 1e3
    poissons_ratio = 0.3
    constant_on = SUBDOMAIN
  []
  [stress]
    type = ADComputeLinearElasticStress
  []
[]

[Contact]
  [leftright]
    secondary = 10
    primary = 20
    model = coulomb
    formulation = tangential_penalty
    penalty = 1e3
    friction_coefficient = 0.4
    normal_smoothing_distance = 0.2
  []
[]

[BCs]
  [./botx]
    type = DirichletBC
    variable = disp_x
    boundary = 40
    value = 0.0
  [../]
  [./boty]
    type = DirichletBC
    variable = disp_y
    boundary = 40
    value = 0.0
  [../]
  [./topy]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 30
    function = '${starting_point} * cos(2 * pi / 40 * t) + ${offset}'
  [../]
  [./leftx]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 50
    function = '1e-2 * t'
  [../]
[]

[Executioner]
  type = Transient
  end_time = 100
  dt = 5
  dtmin = 5
  solve_type = 'PJFNK'
  petsc_options = '-snes_converged_reason -ksp_converged_reason'
  petsc_options_iname = '-pc_type -pc_hypre_type -mat_mffd_err -ksp_gmres_restart'
  petsc_options_value = 'hypre    boomeramg      1e-5          200'
  l_max_its = 200
  nl_max_its = 20
  line_search = 'none'
  automatic_scaling = true
  verbose = true
  scaling_group_variables = 'disp_x disp_y'
  resid_vs_jac_scaling_param = 1
[]

[Debug]
  show_var_residual_norms = true
[]

[Outputs]
  [exo]
    type = Exodus
  []
[]

[Preconditioning]
  [./smp]
    type = SMP
    full = true
  [../]
[]

[Postprocessors]
  [nl]
    type = NumNonlinearIterations
  []
  [lin]
    type = NumLinearIterations
  []
  [tot_nl]
    type = CumulativeValuePostprocessor
    postprocessor = nl
  []
  [tot_lin]
    type = CumulativeValuePostprocessor
    postprocessor = lin
  []
[]

(modules/combined/test/tests/heat_conduction_xfem/heat.i)

[GlobalParams]
  order = FIRST
  family = LAGRANGE
[]

[Mesh]
  type = GeneratedMesh
  dim = 2
  nx = 5
  ny = 6
  xmin = 0.0
  xmax = 1.0
  ymin = 0.0
  ymax = 1.0
  elem_type = QUAD4
[]

[XFEM]
  geometric_cut_userobjects = 'line_seg_cut_uo'
  qrule = volfrac
  output_cut_plane = true
[]

[UserObjects]
  [./line_seg_cut_uo]
    type = LineSegmentCutUserObject
    cut_data = '0.5  1.0  0.5  0.5'
    time_start_cut = 0.0
    time_end_cut = 0.0
  [../]
[]

[Variables]
  [./temp]
    initial_condition = 300.0     # set initial temp to ambient
  [../]
[]

[Functions]
  [./temp_left]
    type = PiecewiseLinear
    x = '0   2'
    y = '0  0.1'
  [../]
[]

[Kernels]
  [./heat]         # gradient term in heat conduction equation
    type = HeatConduction
    variable = temp
  [../]
[]

[BCs]
# Define boundary conditions
  [./left_temp]
    type = FunctionDirichletBC
    variable = temp
    boundary = 3
    function = temp_left
  [../]

  [./right_temp]
    type = DirichletBC
    variable = temp
    boundary = 1
    value = 0
  [../]
[]

[Materials]
  [./fuel_thermal]
    type = HeatConductionMaterial
    block = 0
    temp = temp
    thermal_conductivity = 5.0
    specific_heat = 1.0
  [../]
[]

[Executioner]

  type = Transient

  solve_type = 'PJFNK'

  petsc_options_iname = '-ksp_gmres_restart -pc_type -pc_hypre_type -pc_hypre_boomeramg_max_iter'
  petsc_options_value = '201                hypre    boomeramg      8'

  line_search = 'none'

  l_max_its = 100
  l_tol = 8e-3

  nl_max_its = 15
  nl_rel_tol = 1e-10
  nl_abs_tol = 1e-10

  start_time = 0.0
  dt = 1.0
  end_time = 2.0
  num_steps = 2
[]

[Outputs]
  # Define output file(s)

  file_base = heat_out
  time_step_interval = 1
  execute_on = timestep_end
  exodus = true
  [./console]
    type = Console
    output_linear = true
  [../]
[]

(modules/solid_mechanics/test/tests/mohr_coulomb/small_deform2.i)

# apply repeated stretches in x, y and z directions, so that mean_stress = 0
# This maps out the yield surface in the octahedral plane for zero mean stress

[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]


[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
[]

[Kernels]
  [SolidMechanics]
    displacements = 'disp_x disp_y disp_z'
  [../]
[]


[BCs]
  [./x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'front back'
    function = '2E-6*x*sin(t)'
  [../]
  [./y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'front back'
    function = '2E-6*y*sin(2*t)'
  [../]
  [./z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'front back'
    function = '-2E-6*z*(sin(t)+sin(2*t))'
  [../]
[]

[AuxVariables]
  [./stress_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./yield_fcn]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]

[AuxKernels]
  [./stress_xx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xx
    index_i = 0
    index_j = 0
  [../]
  [./stress_xy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xy
    index_i = 0
    index_j = 1
  [../]
  [./stress_xz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xz
    index_i = 0
    index_j = 2
  [../]
  [./stress_yy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yy
    index_i = 1
    index_j = 1
  [../]
  [./stress_yz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yz
    index_i = 1
    index_j = 2
  [../]
  [./stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zz
    index_i = 2
    index_j = 2
  [../]
  [./yield_fcn_auxk]
    type = MaterialStdVectorAux
    index = 0
    property = plastic_yield_function
    variable = yield_fcn
  [../]
[]

[Postprocessors]
  [./s_xx]
    type = PointValue
    point = '0 0 0'
    variable = stress_xx
  [../]
  [./s_xy]
    type = PointValue
    point = '0 0 0'
    variable = stress_xy
  [../]
  [./s_xz]
    type = PointValue
    point = '0 0 0'
    variable = stress_xz
  [../]
  [./s_yy]
    type = PointValue
    point = '0 0 0'
    variable = stress_yy
  [../]
  [./s_yz]
    type = PointValue
    point = '0 0 0'
    variable = stress_yz
  [../]
  [./s_zz]
    type = PointValue
    point = '0 0 0'
    variable = stress_zz
  [../]
  [./f]
    type = PointValue
    point = '0 0 0'
    variable = yield_fcn
  [../]
  [./f0]
    type = PointValue
    point = '0 0 0'
    variable = yield_fcn
  [../]
  [./f1]
    type = PointValue
    point = '0 0 0'
    variable = yield_fcn
  [../]
[]

[UserObjects]
  [./mc_coh]
    type = SolidMechanicsHardeningConstant
    value = 10
  [../]
  [./mc_phi]
    type = SolidMechanicsHardeningConstant
    value = 20
    convert_to_radians = true
  [../]
  [./mc_psi]
    type = SolidMechanicsHardeningConstant
    value = 0
  [../]
  [./mc]
    type = SolidMechanicsPlasticMohrCoulomb
    cohesion = mc_coh
    friction_angle = mc_phi
    dilation_angle = mc_psi
    mc_tip_smoother = 4
    mc_edge_smoother = 20
    yield_function_tolerance = 1E-3
    internal_constraint_tolerance = 1E-9
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    block = 0
    fill_method = symmetric_isotropic
    C_ijkl = '0 1E7'
  [../]
  [./strain]
    type = ComputeFiniteStrain
    block = 0
    displacements = 'disp_x disp_y disp_z'
  [../]
  [./mc]
    type = ComputeMultiPlasticityStress
    block = 0
    ep_plastic_tolerance = 1E-9
    plastic_models = mc
    debug_fspb = crash
  [../]
[]


[Executioner]
  end_time = 100
  dt = 1
  type = Transient
[]


[Outputs]
  file_base = small_deform2
  exodus = false
  [./csv]
    type = CSV
    [../]
[]

(modules/solid_mechanics/test/tests/crystal_plasticity/user_object_based/prop_block_read.i)

[Mesh]
  [gen]
    type = GeneratedMeshGenerator
    dim = 2
    xmin = 0
    ymin = 0
    xmax = 1
    ymax = 1
    nx = 2
    ny = 2
    elem_type = QUAD4
  []
  [./subdomain_id]
    input = gen
    type = SubdomainPerElementGenerator
    subdomain_ids = '0 1
                     0 1'
  [../]
  displacements = 'disp_x disp_y'
[]

[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
[]

[GlobalParams]
  volumetric_locking_correction = true
[]

[AuxVariables]
  [./stress_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./e_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./fp_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./gss]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./euler1]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./euler2]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./euler3]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]

[Functions]
  [./tdisp]
    type = ParsedFunction
    expression = 0.01*t
  [../]
[]

[UserObjects]
  [./prop_read]
    type = PropertyReadFile
    prop_file_name = 'euler_ang_file.txt'
    # Enter file data as prop#1, prop#2, .., prop#nprop
    nprop = 3
    read_type = block
    nblock= 2
  [../]
[]

[AuxKernels]
  [./stress_yy]
    type = RankTwoAux
    variable = stress_yy
    rank_two_tensor = stress
    index_j = 1
    index_i = 1
    execute_on = timestep_end
  [../]
  [./e_yy]
    type = RankTwoAux
    variable = e_yy
    rank_two_tensor = lage
    index_j = 1
    index_i = 1
    execute_on = timestep_end
  [../]
  [./fp_yy]
    type = RankTwoAux
    variable = fp_yy
    rank_two_tensor = fp
    index_j = 1
    index_i = 1
    execute_on = timestep_end
  [../]
  [./gss]
    type = MaterialStdVectorAux
    variable = gss
    property = state_var_gss
    index = 0
    execute_on = timestep_end
  [../]
  [./euler1]
    type = MaterialRealVectorValueAux
    variable = euler1
    property = Euler_angles
    component = 0
    execute_on = timestep_end
  [../]
  [./euler2]
    type = MaterialRealVectorValueAux
    variable = euler2
    property = Euler_angles
    component = 1
    execute_on = timestep_end
  [../]
  [./euler3]
    type = MaterialRealVectorValueAux
    variable = euler3
    property = Euler_angles
    component = 2
    execute_on = timestep_end
  [../]
[]

[BCs]
  [./fix_x]
    type = DirichletBC
    variable = disp_x
    boundary = 'left'
    value = 0
  [../]
  [./fix_y]
    type = DirichletBC
    variable = disp_y
    boundary = 'bottom'
    value = 0
  [../]
  [./tdisp]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = top
    function = tdisp
  [../]
[]

[UserObjects]
  [./slip_rate_gss]
    type = CrystalPlasticitySlipRateGSS
    variable_size = 12
    slip_sys_file_name = input_slip_sys.txt
    num_slip_sys_flowrate_props = 2
    flowprops = '1 4 0.001 0.1 5 8 0.001 0.1 9 12 0.001 0.1'
    uo_state_var_name = state_var_gss
  [../]
  [./slip_resistance_gss]
    type = CrystalPlasticitySlipResistanceGSS
    variable_size = 12
    uo_state_var_name = state_var_gss
  [../]
  [./state_var_gss]
    type = CrystalPlasticityStateVariable
    variable_size = 12
    groups = '0 4 8 12'
    group_values = '60.8 60.8 60.8'
    uo_state_var_evol_rate_comp_name = state_var_evol_rate_comp_gss
    scale_factor = 1.0
  [../]
  [./state_var_evol_rate_comp_gss]
    type = CrystalPlasticityStateVarRateComponentGSS
    variable_size = 12
    hprops = '1.0 541.5 109.8 2.5'
    uo_slip_rate_name = slip_rate_gss
    uo_state_var_name = state_var_gss
  [../]
[]

[Materials]
  [./crysp]
    type = FiniteStrainUObasedCP
    stol = 1e-2
    tan_mod_type = exact
    uo_slip_rates = 'slip_rate_gss'
    uo_slip_resistances = 'slip_resistance_gss'
    uo_state_vars = 'state_var_gss'
    uo_state_var_evol_rate_comps = 'state_var_evol_rate_comp_gss'
  [../]
  [./strain]
    type = ComputeFiniteStrain
    displacements = 'disp_x disp_y'
  [../]
  [./elasticity_tensor]
    type = ComputeElasticityTensorCP
    C_ijkl = '1.684e5 1.214e5 1.214e5 1.684e5 1.214e5 1.684e5 0.754e5 0.754e5 0.754e5'
    fill_method = symmetric9
    read_prop_user_object = prop_read
  [../]
[]

[Postprocessors]
  [./stress_yy]
    type = ElementAverageValue
    variable = stress_yy
  [../]
  [./e_yy]
    type = ElementAverageValue
    variable = e_yy
  [../]
  [./fp_yy]
    type = ElementAverageValue
    variable = fp_yy
  [../]
  [./gss]
    type = ElementAverageValue
    variable = gss
  [../]
[]

[Preconditioning]
  [./smp]
    type = SMP
    full = true
  [../]
[]

[Executioner]
  type = Transient
  dt = 0.01
  solve_type = 'PJFNK'

  petsc_options_iname = -pc_hypre_type
  petsc_options_value = boomerang
  nl_abs_tol = 1e-10
  nl_rel_step_tol = 1e-10
  dtmax = 10.0
  nl_rel_tol = 1e-10
  end_time = 1
  dtmin = 0.01
  num_steps = 10
  nl_abs_step_tol = 1e-10
[]

[Outputs]
  exodus = true
[]

[Kernels]
  [SolidMechanics]
    displacements = 'disp_x disp_y'
    use_displaced_mesh = true
  [../]
[]

(modules/contact/examples/3d_berkovich/indenter_berkovich_friction.i)

[Mesh]
  file = indenter.e
[]

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
  volumetric_locking_correction = true
  order = FIRST
  family = LAGRANGE
[]

[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
[]

[AuxVariables]
  [./saved_x]
  [../]
  [./saved_y]
  [../]
  [./saved_z]
  [../]
[]

[AuxKernels]
[]

[Functions]
  [./push_down]
    type = ParsedFunction
    expression = 'if(t < 1.5, -t, t-3.0)'
  [../]
[]


[Physics/SolidMechanics/QuasiStatic]
  [./all]
    add_variables = true
    strain = FINITE
    block = '1 2'
    use_automatic_differentiation = false
    generate_output = 'stress_xx stress_xy stress_xz stress_yy stress_zz'
    save_in = 'saved_x saved_y saved_z'
    use_finite_deform_jacobian = true
  [../]
[]

[BCs]
  [./botz]
    type = DirichletBC
    variable = disp_z
    boundary = 101
    value = 0.0
  [../]
  [./boty]
    type = DirichletBC
    variable = disp_y
    boundary = 101
    value = 0.0
  [../]
  [./botx]
    type = DirichletBC
    variable = disp_x
    boundary = 101
    value = 0.0
  [../]

  [./boty111]
    type = DirichletBC
    variable = disp_y
    boundary = 111
    value = 0.0
  [../]
  [./botx111]
    type = DirichletBC
    variable = disp_x
    boundary = 111
    value = 0.0
  [../]

  [./topz]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = '201'
    function = push_down
  [../]
  [./topy]
    type = DirichletBC
    variable = disp_y
    boundary = 201
    value = 0.0
  [../]
  [./topx]
    type = DirichletBC
    variable = disp_x
    boundary = 201
    value = 0.0
  [../]
[]


[UserObjects]
  [./slip_rate_gss]
    type = CrystalPlasticitySlipRateGSS
    variable_size = 48
    slip_sys_file_name = input_slip_sys_bcc48.txt
    num_slip_sys_flowrate_props = 2
    flowprops = '1 48 0.0001 0.01'
    uo_state_var_name = state_var_gss
    slip_incr_tol = 10.0
    block = 1
  [../]
  [./slip_resistance_gss]
    type = CrystalPlasticitySlipResistanceGSS
    variable_size = 48
    uo_state_var_name = state_var_gss
    block = 1
  [../]
  [./state_var_gss]
    type = CrystalPlasticityStateVariable
    variable_size = 48
    groups = '0 24 48'
    group_values = '900 1000' #120
    uo_state_var_evol_rate_comp_name = state_var_evol_rate_comp_gss
    scale_factor = 1.0
    block = 1
  [../]
  [./state_var_evol_rate_comp_gss]
    type = CrystalPlasticityStateVarRateComponentGSS
    variable_size = 48
    hprops = '1.4 1000 1200 2.5'
    uo_slip_rate_name = slip_rate_gss
    uo_state_var_name = state_var_gss
    block = 1
  [../]
[]

[Materials]
  [./crysp]
    type = FiniteStrainUObasedCP
    block = 1
    stol = 1e-2
    tan_mod_type = exact
    uo_slip_rates = 'slip_rate_gss'
    uo_slip_resistances = 'slip_resistance_gss'
    uo_state_vars = 'state_var_gss'
    uo_state_var_evol_rate_comps = 'state_var_evol_rate_comp_gss'
    maximum_substep_iteration = 25
  [../]
  [./elasticity_tensor]
    type = ComputeElasticityTensorCP
    block = 1
    C_ijkl = '265190 113650 113650 265190 113650 265190 75769 75769 75760'
    fill_method = symmetric9
  [../]
  [./elasticity_tensor_indenter]
    type = ComputeIsotropicElasticityTensor
    youngs_modulus = 1000000.0
    poissons_ratio = 0.3
    block = 2
  [../]
  [./stress_indenter]
    type = ComputeFiniteStrainElasticStress
    block = 2
  [../]
[]

[Postprocessors]
  [./stress_zz]
    type = ElementAverageValue
    variable = stress_zz
    block = 1
  [../]
  [./resid_z]
    type = NodalSum
    variable = saved_z
    boundary = 201
  [../]
  [./disp_z]
    type = NodalExtremeValue
    variable = disp_z
    boundary = 201
  [../]
[]

[Executioner]
  type = Transient
  solve_type = 'PJFNK'

  petsc_options_iname = '-pc_type -pc_factor_mat_solver_type'
  petsc_options_value = 'lu    superlu_dist'
  line_search = 'none'

  l_max_its = 60
  nl_max_its = 50
  dt = 0.004
  dtmin = 0.00001
  end_time = 1.8
  nl_rel_tol = 1e-8
  nl_abs_tol = 1e-6 # 6 if no friction
  l_tol = 1e-3
  automatic_scaling = true

[]

[Outputs]
  [./my_checkpoint]
    type = Checkpoint
    time_step_interval = 50
  [../]
  exodus = true
  csv = true
  print_linear_residuals = true
  print_perf_log = true
  [./console]
    type = Console
    max_rows = 5
  [../]
[]

[Preconditioning]
  [./smp]
    type = SMP
    full = true
  [../]
[]

[Dampers]
  [./contact_slip]
    type = ContactSlipDamper
    primary = '202'
    secondary = '102'
  [../]
[]

[Contact]
  [./ind_base]
    primary = 202
    secondary = 102
    model = coulomb
    friction_coefficient = 0.4
    normalize_penalty = true
    formulation = tangential_penalty
    penalty = 1e7
    capture_tolerance = 0.0001
  [../]
[]

(modules/combined/test/tests/cavity_pressure/initial_temperature.i)

#
# Cavity Pressure Test
#
# This test is designed to compute an internal pressure based on
#   p = n * R * T / V
# where
#   p is the pressure
#   n is the amount of material in the volume (moles)
#   R is the universal gas constant
#   T is the temperature
#   V is the volume
#
# The mesh is composed of one block (1) with an interior cavity of volume 8.
#   Block 2 sits in the cavity and has a volume of 1.  Thus, the total
#   initial volume is 7.
# The test adjusts n, T, and V in the following way:
#   n => n0 + alpha * t
#   T => T0 + beta * t
#   V => V0 + gamma * t
# with
#   alpha = n0
#   beta = T0 / 2
#   gamma = -(0.003322259...) * V0
#   T0 = 240.54443866068704
#   V0 = 7
#   n0 = f(p0)
#   p0 = 100
#   R = 8.314472 J * K^(-1) * mol^(-1)
#
# So, n0 = p0 * V0 / R / T0 = 100 * 7 / 8.314472 / 240.544439
#        = 0.35
#
# The parameters combined at t = 1 gives p = 301.
#
# This test sets the initial temperature to 500, but the CavityPressure
#   is told that that initial temperature is T0.  Thus, the final solution
#   is unchanged.

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]

[Mesh]
  file = 3d.e
[]

[GlobalParams]
  volumetric_locking_correction = true
[]

[Functions]
  [displ_positive]
    type = PiecewiseLinear
    x = '0 1'
    y = '0 0.0029069767441859684'
  []
  [displ_negative]
    type = PiecewiseLinear
    x = '0 1'
    y = '0 -0.0029069767441859684'
  []
  [temp1]
    type = PiecewiseLinear
    x = '0 1'
    y = '1 1.5'
    scale_factor = 240.54443866068704
  []
  [material_input_function]
    type = PiecewiseLinear
    x = '0    1'
    y = '0 0.35'
  []
[]

[Variables]
  [disp_x]
  []
  [disp_y]
  []
  [disp_z]
  []
  [temp]
    initial_condition = 500
  []
  [material_input]
  []
[]

[AuxVariables]
  [pressure_residual_x]
  []
  [pressure_residual_y]
  []
  [pressure_residual_z]
  []
  [stress_xx]
    order = CONSTANT
    family = MONOMIAL
  []
  [stress_yy]
    order = CONSTANT
    family = MONOMIAL
  []
  [stress_zz]
    order = CONSTANT
    family = MONOMIAL
  []
  [stress_xy]
    order = CONSTANT
    family = MONOMIAL
  []
  [stress_yz]
    order = CONSTANT
    family = MONOMIAL
  []
  [stress_zx]
    order = CONSTANT
    family = MONOMIAL
  []
[]

[Kernels]
  [TensorMechanics]
    use_displaced_mesh = true
  []
  [heat]
    type = Diffusion
    variable = temp
    use_displaced_mesh = true
  []
  [material_input_dummy]
    type = Diffusion
    variable = material_input
    use_displaced_mesh = true
  []
[]

[AuxKernels]
  [stress_xx]
    type = RankTwoAux
    rank_two_tensor = stress
    index_i = 0
    index_j = 0
    variable = stress_xx
  []
  [stress_yy]
    type = RankTwoAux
    rank_two_tensor = stress
    index_i = 1
    index_j = 1
    variable = stress_yy
  []
  [stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    index_i = 2
    index_j = 2
    variable = stress_zz
  []
  [stress_xy]
    type = RankTwoAux
    rank_two_tensor = stress
    index_i = 0
    index_j = 1
    variable = stress_xy
  []
  [stress_yz]
    type = RankTwoAux
    rank_two_tensor = stress
    index_i = 1
    index_j = 2
    variable = stress_yz
  []
  [stress_zx]
    type = RankTwoAux
    rank_two_tensor = stress
    index_i = 2
    index_j = 0
    variable = stress_zx
  []
[]

[BCs]
  [no_x_exterior]
    type = DirichletBC
    variable = disp_x
    boundary = '7 8'
    value = 0.0
  []
  [no_y_exterior]
    type = DirichletBC
    variable = disp_y
    boundary = '9 10'
    value = 0.0
  []
  [no_z_exterior]
    type = DirichletBC
    variable = disp_z
    boundary = '11 12'
    value = 0.0
  []
  [prescribed_left]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 13
    function = displ_positive
  []
  [prescribed_right]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 14
    function = displ_negative
  []
  [no_y]
    type = DirichletBC
    variable = disp_y
    boundary = '15 16'
    value = 0.0
  []
  [no_z]
    type = DirichletBC
    variable = disp_z
    boundary = '17 18'
    value = 0.0
  []
  [no_x_interior]
    type = DirichletBC
    variable = disp_x
    boundary = '1 2'
    value = 0.0
  []
  [no_y_interior]
    type = DirichletBC
    variable = disp_y
    boundary = '3 4'
    value = 0.0
  []
  [no_z_interior]
    type = DirichletBC
    variable = disp_z
    boundary = '5 6'
    value = 0.0
  []
  [temperatureInterior]
    type = FunctionDirichletBC
    boundary = 100
    function = temp1
    variable = temp
  []
  [MaterialInput]
    type = FunctionDirichletBC
    boundary = '100 13 14 15 16'
    function = material_input_function
    variable = material_input
  []
  [CavityPressure]
    [1]
      boundary = 100
      initial_pressure = 100
      material_input = materialInput
      R = 8.314472
      temperature = aveTempInterior
      initial_temperature = 240.54443866068704
      volume = internalVolume
      startup_time = 0.5
      output = ppress
      save_in = 'pressure_residual_x pressure_residual_y pressure_residual_z'
    []
  []
[]

[Materials]
  [elast_tensor1]
    type = ComputeElasticityTensor
    C_ijkl = '0 5'
    fill_method = symmetric_isotropic
    block = 1
  []
  [strain1]
    type = ComputeFiniteStrain
    block = 1
  []
  [stress1]
    type = ComputeFiniteStrainElasticStress
    block = 1
  []
  [elast_tensor2]
    type = ComputeElasticityTensor
    C_ijkl = '0 5'
    fill_method = symmetric_isotropic
    block = 2
  []
  [strain2]
    type = ComputeFiniteStrain
    block = 2
  []
  [stress2]
    type = ComputeFiniteStrainElasticStress
    block = 2
  []
[]

[Executioner]
  type = Transient

  petsc_options_iname = '-pc_type -sub_pc_type'
  petsc_options_value = 'asm       lu'

  nl_rel_tol = 1e-12
  l_tol = 1e-12

  l_max_its = 20

  dt = 0.5
  end_time = 1.0
  use_pre_SMO_residual = true
[]

[Postprocessors]
  [internalVolume]
    type = InternalVolume
    boundary = 100
    execute_on = 'initial linear'
  []
  [aveTempInterior]
    type = SideAverageValue
    boundary = 100
    variable = temp
    execute_on = 'initial linear'
  []
  [materialInput]
    type = SideAverageValue
    boundary = '7 8 9 10 11 12'
    variable = material_input
    execute_on = linear
  []
[]

[Outputs]
  exodus = true
[]

(modules/heat_transfer/test/tests/gap_heat_transfer_radiation/gap_heat_transfer_radiation_test.i)

#
# 1-D Gap Heat Transfer Test without mechanics
#
# This test exercises 1-D gap heat transfer for a helium-filled gap including radiation.
#
# The mesh consists of two element blocks containing one element each.  Each
#   element is a unit cube.  They sit next to one another with a unit between them.
#
# The conductivity of both blocks is set very large to achieve a uniform temperature
#  across each block. The temperature of the far left boundary
#  is ramped from 100 to 200 over one time unit, and then held fixed for an additional
#  time unit.  The temperature of the far right boundary is held fixed at 100.
#
# A simple analytical solution is possible for the heat flux between the blocks:
#
#  Flux = (T_left - T_right) * h_gap
#
#    where  h_gap = h_gas + h_cont + h_rad
#
# By setting the contact pressure, roughnesses, and jump distances to zero, the gap
#   conductance simplifies to:
#
#    h_gap = gapK/d_gap + sigma*Fe*(T_left^2 + T_right^2)*(T_left + T_right)
#
#      where Fe = 1/(1/eps_left + 1/eps_right - 1)
#            eps = emissivity
#
# For pure helium, BISON computes the gas conductivity as:
#
#  gapK(Tavg) = 2.639e-3*Tavg^0.7085
#
# For the test, the final (t=2) average gas temperature is (200 +100)/2 = 150,
#  giving gapK(150) = 0.09187557
#
# Assuming ems_left = ems_right = 0.5, Fe = 1/3
#
# The heat flux across the gap at that time is then:
#
#  Flux(2) = 100 * ((0.09187557/1.0) + (5.669e-8/3)*(200^2 + 100^2)*(200 + 100))
#          = 37.532557
#
# The flux post processors give 37.53255
#

[Mesh]
  file = gap_heat_transfer_radiation_test.e
[]

[Functions]
  [./temp]
    type = PiecewiseLinear
    x = '0   1'
    y = '200 200'
  [../]
[]

[Variables]
  [./temp]
    order = FIRST
    family = LAGRANGE
    initial_condition = 100
  [../]
[]

[Kernels]
  [./heat]
    type = HeatConduction
    variable = temp
  [../]
[]


[BCs]
  [./temp_far_left]
    type = FunctionDirichletBC
    boundary = 1
    variable = temp
    function = temp
  [../]

  [./temp_far_right]
    type = DirichletBC
    boundary = 4
    variable = temp
    value = 100
  [../]
[]

[ThermalContact]
  [./gap]
    type = GapHeatTransfer
    variable = temp
    primary = 3
    secondary = 2
    gap_conductivity = 0.09187557
    emissivity_primary = 0.5
    emissivity_secondary = 0.5
  [../]
[]

[Materials]
  [./heat1]
    type = HeatConductionMaterial
    block = '1 2'
    specific_heat = 1.0
    thermal_conductivity = 10000000.0
  [../]
  [./density]
    type = GenericConstantMaterial
    block = '1 2'
    prop_names = 'density'
    prop_values = '1.0'
  [../]
[]

[Executioner]
  type = Transient
  solve_type = 'PJFNK'

  petsc_options_iname = '-ksp_gmres_restart -pc_type -pc_hypre_type -pc_hypre_boomeramg_max_iter'
  petsc_options_value = '201                hypre    boomeramg      4'

  line_search = 'none'

  nl_abs_tol = 1e-6
  nl_rel_tol = 1e-10

  l_tol = 1e-3
  l_max_its = 100

  start_time = 0.0
  dt = 1
  end_time = 1.0
[]

[Postprocessors]
  [./temp_left]
    type = SideAverageValue
    boundary = 2
    variable = temp
    execute_on = 'initial timestep_end'
  [../]

  [./temp_right]
    type = SideAverageValue
    boundary = 3
    variable = temp
    execute_on = 'initial timestep_end'
  [../]

  [./flux_left]
    type = SideDiffusiveFluxIntegral
    variable = temp
    boundary = 2
    diffusivity = thermal_conductivity
  [../]

  [./flux_right]
    type = SideDiffusiveFluxIntegral
    variable = temp
    boundary = 3
    diffusivity = thermal_conductivity
  [../]
[]

[Outputs]
  exodus = true
[]

(modules/porous_flow/test/tests/hysteresis/hys_pc_3.i)

# Capillary-pressure calculation.  Third-order curve
# When comparing the results with a by-hand computation, remember the MOOSE results are averaged over an element
[Mesh]
  [mesh]
    type = GeneratedMeshGenerator
    dim = 1
    xmin = 0.4
    xmax = 0.9
    nx = 50
  []
[]

[GlobalParams]
  PorousFlowDictator = dictator
[]

[UserObjects]
  [dictator]
    type = PorousFlowDictator
    number_fluid_phases = 1
    number_fluid_components = 1
    porous_flow_vars = ''
  []
[]

[Variables]
  [sat]
  []
[]

[ICs]
  [sat]
    type = FunctionIC
    variable = sat
    function = 'x'
  []
[]

[BCs]
  [sat]
    type = FunctionDirichletBC
    variable = sat
    function = 'x'
    boundary = 'left right'
  []
[]


[Kernels]
  [dummy]
    type = Diffusion
    variable = sat
  []
[]

[Materials]
  [hys_order]
    type = PorousFlowHysteresisOrder
    initial_order = 3
    previous_turning_points = '0.1 0.9 0.4'
  []
  [pc_calculator]
    type = PorousFlowHystereticInfo
    alpha_d = 10.0
    alpha_w = 7.0
    n_d = 1.5
    n_w = 1.9
    S_l_min = 0.1
    S_lr = 0.2
    S_gr_max = 0.3
    Pc_max = 12.0
    high_ratio = 0.9
    low_extension_type = none
    high_extension_type = none
    sat_var = sat
  []
[]

[AuxVariables]
  [hys_order]
    family = MONOMIAL
    order = CONSTANT
  []
  [pc]
    family = MONOMIAL
    order = CONSTANT
  []
[]

[AuxKernels]
  [hys_order]
    type = PorousFlowPropertyAux
    variable = hys_order
    property = hysteresis_order
  []
  [pc]
    type = PorousFlowPropertyAux
    variable = pc
    property = hysteretic_info
  []
[]

[VectorPostprocessors]
  [pc]
    type = LineValueSampler
    warn_discontinuous_face_values = false
    start_point = '0.4 0 0'
    end_point = '0.9 0 0'
    num_points = 8
    sort_by = x
    variable = 'sat pc'
  []
[]

[Executioner]
  type = Transient
  solve_type = Linear
  dt = 1
  end_time = 1
[]

[Outputs]
  csv = true
[]

(modules/solid_mechanics/test/tests/multi/three_surface14.i)

# Plasticit models:
# SimpleTester0 with a = 0 and b = 1 and strength = 1
# SimpleTester1 with a = 1 and b = 0 and strength = 1
# SimpleTester2 with a = 1 and b = 1 and strength = 3
#
# Lame lambda = 0 (Poisson=0).  Lame mu = 0.5E6
#
# A single element is stretched by 2.1E-6m in y direction and 3E-6 in z direction.
# trial stress_yy = 2.1 and stress_zz = 3.0
#
# Then all three will be active, but there is linear-dependence.
# SimpleTester1 will turn off, since it is closest,
# and the algorithm will return to stress_zz=1, stress_yy=2, but
# then SimpleTester1 will be positive, so it will be turned back
# on, and then SimpleTester0 or SimpleTester2 will be turned off
# (a random choice will be made).
# If SimpleTester2 is turned
# off then algorithm returns to stress_zz=1=stress_yy, but then
# SimpleTester2 violates Kuhn-Tucker (f<0 and pm>0), so the algorithm
# will restart, and return to stress_zz=1=stress_yy, with internal0=2
# and internal1=1.1
# If SimpleTester0 is turned off then the algorithm will return to
# stress_zz=2, stress_yy=1, where f0>0.  Once again, a random choice
# of turning off SimpleTester1 or SimpleTester2 can be made.  Hence,
# oscillations can occur.  If too many oscillations occur then the algorithm
# will fail

[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]


[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
[]

[Kernels]
  [SolidMechanics]
    displacements = 'disp_x disp_y disp_z'
  [../]
[]


[BCs]
  [./x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'front back'
    function = '0E-6*x'
  [../]
  [./y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'front back'
    function = '2.1E-6*y'
  [../]
  [./z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'front back'
    function = '3.0E-6*z'
  [../]
[]

[AuxVariables]
  [./stress_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f0]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f1]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f2]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./int0]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./int1]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./int2]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]

[AuxKernels]
  [./stress_xx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xx
    index_i = 0
    index_j = 0
  [../]
  [./stress_xy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xy
    index_i = 0
    index_j = 1
  [../]
  [./stress_xz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xz
    index_i = 0
    index_j = 2
  [../]
  [./stress_yy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yy
    index_i = 1
    index_j = 1
  [../]
  [./stress_yz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yz
    index_i = 1
    index_j = 2
  [../]
  [./stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zz
    index_i = 2
    index_j = 2
  [../]
  [./f0]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 0
    variable = f0
  [../]
  [./f1]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 1
    variable = f1
  [../]
  [./f2]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 2
    variable = f2
  [../]
  [./int0]
    type = MaterialStdVectorAux
    property = plastic_internal_parameter
    factor = 1E6
    index = 0
    variable = int0
  [../]
  [./int1]
    type = MaterialStdVectorAux
    property = plastic_internal_parameter
    factor = 1E6
    index = 1
    variable = int1
  [../]
  [./int2]
    type = MaterialStdVectorAux
    property = plastic_internal_parameter
    factor = 1E6
    index = 2
    variable = int2
  [../]
[]

[Postprocessors]
  [./s_xx]
    type = PointValue
    point = '0 0 0'
    variable = stress_xx
  [../]
  [./s_xy]
    type = PointValue
    point = '0 0 0'
    variable = stress_xy
  [../]
  [./s_xz]
    type = PointValue
    point = '0 0 0'
    variable = stress_xz
  [../]
  [./s_yy]
    type = PointValue
    point = '0 0 0'
    variable = stress_yy
  [../]
  [./s_yz]
    type = PointValue
    point = '0 0 0'
    variable = stress_yz
  [../]
  [./s_zz]
    type = PointValue
    point = '0 0 0'
    variable = stress_zz
  [../]
  [./f0]
    type = PointValue
    point = '0 0 0'
    variable = f0
  [../]
  [./f1]
    type = PointValue
    point = '0 0 0'
    variable = f1
  [../]
  [./f2]
    type = PointValue
    point = '0 0 0'
    variable = f2
  [../]
  [./int0]
    type = PointValue
    point = '0 0 0'
    variable = int0
  [../]
  [./int1]
    type = PointValue
    point = '0 0 0'
    variable = int1
  [../]
  [./int2]
    type = PointValue
    point = '0 0 0'
    variable = int2
  [../]
[]

[UserObjects]
  [./simple0]
    type = SolidMechanicsPlasticSimpleTester
    a = 0
    b = 1
    strength = 1
    yield_function_tolerance = 1.0E-6
    internal_constraint_tolerance = 1.0E-6
  [../]
  [./simple1]
    type = SolidMechanicsPlasticSimpleTester
    a = 1
    b = 0
    strength = 1
    yield_function_tolerance = 1.0E-6
    internal_constraint_tolerance = 1.0E-6
  [../]
  [./simple2]
    type = SolidMechanicsPlasticSimpleTester
    a = 1
    b = 1
    strength = 3
    yield_function_tolerance = 1.0E-6
    internal_constraint_tolerance = 1.0E-6
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    block = 0
    fill_method = symmetric_isotropic
    C_ijkl = '0 0.5E6'
  [../]
  [./strain]
    type = ComputeFiniteStrain
    block = 0
    displacements = 'disp_x disp_y disp_z'
  [../]
  [./multi]
    type = ComputeMultiPlasticityStress
    block = 0
    ep_plastic_tolerance = 1E-9
    plastic_models = 'simple0 simple1 simple2'
    max_NR_iterations = 4
    min_stepsize = 1
    debug_fspb = crash
    debug_jac_at_stress = '10 0 0 0 10 0 0 0 10'
    debug_jac_at_pm = '1 1 1'
    debug_jac_at_intnl = '1 1 1'
    debug_stress_change = 1E-5
    debug_pm_change = '1E-6 1E-6 1E-6'
    debug_intnl_change = '1E-6 1E-6 1E-6'
  [../]
[]


[Executioner]
  end_time = 1
  dt = 1
  type = Transient
[]


[Outputs]
  file_base = three_surface14
  exodus = false
  [./csv]
    type = CSV
    [../]
[]

(modules/solid_mechanics/test/tests/weak_plane_tensile/small_deform_hard1.i)

# Checking internal-parameter evolution
# A single element is stretched by 1E-6*t in z directions.
#
# Young's modulus = 20 MPa.  Tensile strength = 10 Pa
#
# There are two time steps.
# In the first
# trial stress_zz = Youngs Modulus*Strain = 2E7*1E-6 = 20 Pa
# so this returns to stress_zz = 10 Pa, and half of the deformation
# goes to plastic strain, yielding ep_zz_plastic = 0.5E-6
# In the second
# trial stress_zz = 10 + Youngs Modulus*(Strain increment) = 10 + 2E7*1E-6 = 30 Pa
# so this returns to stress_zz = 10 Pa, and all of the deformation
# goes to plastic strain, yielding ep_zz_plastic increment = 1E-6,
# so total plastic strain_zz = 1.5E-6.
[GlobalParams]
  displacements = 'x_disp y_disp z_disp'
[]

[Mesh]
  type = GeneratedMesh
  dim = 3
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]

[Physics/SolidMechanics/QuasiStatic/all]
  strain = FINITE
  add_variables = true
  generate_output = 'stress_zz'
[]

[BCs]
  [bottomx]
    type = DirichletBC
    variable = x_disp
    boundary = back
    value = 0.0
  []
  [bottomy]
    type = DirichletBC
    variable = y_disp
    boundary = back
    value = 0.0
  []
  [bottomz]
    type = DirichletBC
    variable = z_disp
    boundary = back
    value = 0.0
  []

  [topx]
    type = DirichletBC
    variable = x_disp
    boundary = front
    value = 0
  []
  [topy]
    type = DirichletBC
    variable = y_disp
    boundary = front
    value = 0
  []
  [topz]
    type = FunctionDirichletBC
    variable = z_disp
    boundary = front
    function = 1E-6*t
  []
[]

[AuxVariables]
  [wpt_internal]
    order = CONSTANT
    family = MONOMIAL
  []
  [yield_fcn]
    order = CONSTANT
    family = MONOMIAL
  []
[]

[AuxKernels]
  [wpt_internal]
    type = MaterialStdVectorAux
    property = plastic_internal_parameter
    index = 0
    variable = wpt_internal
  []
  [yield_fcn_auxk]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 0
    variable = yield_fcn
  []
[]

[Postprocessors]
  [wpt_internal]
    type = PointValue
    point = '0 0 0'
    variable = wpt_internal
  []
  [s_zz]
    type = PointValue
    point = '0 0 0'
    variable = stress_zz
  []
  [f]
    type = PointValue
    point = '0 0 0'
    variable = yield_fcn
  []
[]

[UserObjects]
  [str]
    type = SolidMechanicsHardeningConstant
    value = 10
  []
  [wpt]
    type = SolidMechanicsPlasticWeakPlaneTensile
    tensile_strength = str
    yield_function_tolerance = 1E-6
    internal_constraint_tolerance = 1E-11
  []
[]

[Materials]
  [elasticity_tensor]
    type = ComputeElasticityTensor
    fill_method = symmetric_isotropic
    C_ijkl = '0 1E7'
  []
  [mc]
    type = ComputeMultiPlasticityStress
    plastic_models = wpt
    transverse_direction = '0 0 1'
    ep_plastic_tolerance = 1E-11
  []
[]

[Executioner]
  end_time = 2
  dt = 1
  type = Transient
[]

[Outputs]
  csv = true
[]

(modules/contact/test/tests/mortar_dynamics/block-dynamics-friction.i)

starting_point = 2e-1
offset = -0.19

[GlobalParams]
  displacements = 'disp_x disp_y'
[]

[Mesh]
  file = long-bottom-block-1elem-blocks.e
  allow_renumbering = false
[]

[Variables]
  [disp_x]
    block = '1 2'
  []
  [disp_y]
    block = '1 2'
  []
  [mechanical_normal_lm]
    block = 3
    use_dual = true
  []
  [mechanical_tangential_lm]
    block = 3
    use_dual = true
  []
[]

[ICs]
  [disp_y]
    block = 2
    variable = disp_y
    value = '${fparse starting_point + offset}'
    type = ConstantIC
  []
[]

[Kernels]
  [DynamicTensorMechanics]
    displacements = 'disp_x disp_y'
    generate_output = 'stress_xx stress_yy'
    strain = FINITE
    block = '1 2'
    stiffness_damping_coefficient = 0.05
    hht_alpha = 0.0
  []
  [inertia_x]
    type = InertialForce
    variable = disp_x
    velocity = vel_x
    acceleration = accel_x
    beta = 0.25
    gamma = 0.5
    alpha = 0
    eta = 0.0
    block = '1 2'
  []
  [inertia_y]
    type = InertialForce
    variable = disp_y
    velocity = vel_y
    acceleration = accel_y
    beta = 0.25
    gamma = 0.5
    alpha = 0
    eta = 0.0
    block = '1 2'
  []
[]

[Materials]
  [elasticity_2]
    type = ComputeIsotropicElasticityTensor
    block = '2'
    youngs_modulus = 1e6
    poissons_ratio = 0.3
  []
  [elasticity_1]
    type = ComputeIsotropicElasticityTensor
    block = '1'
    youngs_modulus = 1e8
    poissons_ratio = 0.3
  []
  [stress]
    type = ComputeFiniteStrainElasticStress
    block = '1 2'
  []
  [strain]
    type = ComputeFiniteStrain
    block = '1 2'
  []
  [density]
    type = GenericConstantMaterial
    block = '1 2'
    prop_names = 'density'
    prop_values = '7750'
  []
[]

[AuxVariables]
  [vel_x]
    block = '1 2'
  []
  [accel_x]
    block = '1 2'
  []
  [vel_y]
    block = '1 2'
  []
  [accel_y]
    block = '1 2'
  []
  [vel_z]
    block = '1 2'
  []
  [accel_z]
    block = '1 2'
  []
  [gap]
    block = 3
  []
[]

[AuxKernels]
  [gap]
    type = WeightedGapAux
    variable = gap
    primary_boundary = 20
    secondary_boundary = 10
    primary_subdomain = 4
    secondary_subdomain = 3
    use_displaced_mesh = true
  []
  [accel_x]
    type = NewmarkAccelAux
    variable = accel_x
    displacement = disp_x
    velocity = vel_x
    beta = 0.25
    execute_on = 'LINEAR timestep_end'
  []
  [vel_x]
    type = NewmarkVelAux
    variable = vel_x
    acceleration = accel_x
    gamma = 0.5
    execute_on = 'LINEAR timestep_end'
  []
  [accel_y]
    type = NewmarkAccelAux
    variable = accel_y
    displacement = disp_y
    velocity = vel_y
    beta = 0.25
    execute_on = 'LINEAR timestep_end'
  []
  [vel_y]
    type = NewmarkVelAux
    variable = vel_y
    acceleration = accel_y
    gamma = 0.5
    execute_on = 'LINEAR timestep_end'
  []
[]



# User object provides the contact force (e.g. LM)
# for the application of the generalized force
[UserObjects]
  [weighted_vel_uo]
    type = LMWeightedVelocitiesUserObject
    primary_boundary = 20
    secondary_boundary = 10
    primary_subdomain = 4
    secondary_subdomain = 3
    lm_variable_normal = mechanical_normal_lm
    lm_variable_tangential_one = mechanical_tangential_lm
    secondary_variable = disp_x
    disp_x = disp_x
    disp_y = disp_y
  []
[]

[Constraints]
  [weighted_gap_lm]
    type = ComputeDynamicFrictionalForceLMMechanicalContact
    primary_boundary = 20
    secondary_boundary = 10
    primary_subdomain = 4
    secondary_subdomain = 3
    variable = mechanical_normal_lm
    friction_lm = mechanical_tangential_lm
    disp_x = disp_x
    disp_y = disp_y
    use_displaced_mesh = true
    c = 1e4
    c_t = 1e4
    mu = 0.5
    newmark_beta = 0.25
    newmark_gamma = 0.5
    capture_tolerance = 1.0e-5
  []
  [normal_x]
    type = NormalMortarMechanicalContact
    primary_boundary = 20
    secondary_boundary = 10
    primary_subdomain = 4
    secondary_subdomain = 3
    variable = mechanical_normal_lm
    secondary_variable = disp_x
    component = x
    use_displaced_mesh = true
    compute_lm_residuals = false
    weighted_gap_uo = weighted_vel_uo
  []
  [normal_y]
    type = NormalMortarMechanicalContact
    primary_boundary = 20
    secondary_boundary = 10
    primary_subdomain = 4
    secondary_subdomain = 3
    variable = mechanical_normal_lm
    secondary_variable = disp_y
    component = y
    use_displaced_mesh = true
    compute_lm_residuals = false
    weighted_gap_uo = weighted_vel_uo
  []
  [tangential_x]
    type = TangentialMortarMechanicalContact
    primary_boundary = 20
    secondary_boundary = 10
    primary_subdomain = 4
    secondary_subdomain = 3
    variable = mechanical_tangential_lm
    secondary_variable = disp_x
    component = x
    use_displaced_mesh = true
    compute_lm_residuals = false
    weighted_velocities_uo = weighted_vel_uo
  []
  [tangential_y]
    type = TangentialMortarMechanicalContact
    primary_boundary = 20
    secondary_boundary = 10
    primary_subdomain = 4
    secondary_subdomain = 3
    variable = mechanical_tangential_lm
    secondary_variable = disp_y
    component = y
    use_displaced_mesh = true
    compute_lm_residuals = false
    weighted_velocities_uo = weighted_vel_uo
  []
[]

[BCs]
  [botx]
    type = DirichletBC
    variable = disp_x
    boundary = 40
    value = 0.0
  []
  [boty]
    type = DirichletBC
    variable = disp_y
    boundary = 40
    value = 0.0
  []
  [topy]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 30
    function = '${starting_point} * cos(2 * pi / 4 * t) + ${offset}'
  []
  [leftx]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 30 # 50
    function = '0' # '1e-2*t'
  []
[]

[Executioner]
  type = Transient
  end_time = 75
  dt = 0.05
  dtmin = .005
  solve_type = 'PJFNK'
  petsc_options = '-snes_converged_reason -ksp_converged_reason -pc_svd_monitor '
                  '-snes_linesearch_monitor -snes_ksp_ew'
  petsc_options_iname = '-pc_type -pc_factor_shift_type -pc_factor_shift_amount -mat_mffd_err '
  petsc_options_value = 'lu       NONZERO               1e-15                   1e-5'
  nl_max_its = 50
  line_search = 'none'
  snesmf_reuse_base = false

  [TimeIntegrator]
    type = NewmarkBeta
    beta = 0.25
    gamma = 0.5
  []
[]

[Debug]
  show_var_residual_norms = true
[]

[Outputs]
  exodus = true
  csv = true
  checkpoint = true
[]

[Preconditioning]
  [smp]
    type = SMP
    full = true
  []
[]

[VectorPostprocessors]
  [mechanical_tangential_lm]
    type = NodalValueSampler
    block = '3'
    variable = mechanical_tangential_lm
    sort_by = 'x'
    execute_on = TIMESTEP_END
  []
[]

(modules/solid_mechanics/test/tests/multi/paper1.i)

# This runs the models mentioned in the first example of the Multi-Surface paper
#
# Plasticity models:
# SimpleTester with a = 1 and b = 0 and strength = 1E9  (only does elasticity)
# SimpleTester with a = 1 and b = 0 and strength = 0
# SimpleTester with a = 1 and b = 0 and strength = 1E-3
#
# Lame lambda = 0 (Poisson=0).  Lame mu = 0.5E6
#
# A line of elements is perturbed randomly, and return to the yield surface at each quadpoint is checked

[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 125
  nz = 1
  xmin = 0
  xmax = 1
  ymin = 0
  ymax = 125
  zmin = 0
  zmax = 1
[]


[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
[]

[Kernels]
  [SolidMechanics]
    displacements = 'disp_x disp_y disp_z'
  [../]
[]


[ICs]
  [./x]
    type = RandomIC
    min = -0.1
    max = 0.1
    variable = disp_x
  [../]
  [./y]
    type = RandomIC
    min = -0.1
    max = 0.1
    variable = disp_y
  [../]
  [./z]
    type = RandomIC
    min = -0.1
    max = 0.1
    variable = disp_z
  [../]
[]

[BCs]
  [./x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'front back'
    function = '0'
  [../]
  [./y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'front back'
    function = '0'
  [../]
  [./z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'front back'
    function = '0'
  [../]
[]

[AuxVariables]
  [./stress_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./linesearch]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./ld]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./constr_added]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./iter]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]

[AuxKernels]
  [./stress_xx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xx
    index_i = 0
    index_j = 0
  [../]
  [./stress_xy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xy
    index_i = 0
    index_j = 1
  [../]
  [./stress_xz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xz
    index_i = 0
    index_j = 2
  [../]
  [./stress_yy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yy
    index_i = 1
    index_j = 1
  [../]
  [./stress_yz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yz
    index_i = 1
    index_j = 2
  [../]
  [./stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zz
    index_i = 2
    index_j = 2
  [../]
  [./linesearch]
    type = MaterialRealAux
    property = plastic_linesearch_needed
    variable = linesearch
  [../]
  [./ld]
    type = MaterialRealAux
    property = plastic_linear_dependence_encountered
    variable = ld
  [../]
  [./constr_added]
    type = MaterialRealAux
    property = plastic_constraints_added
    variable = constr_added
  [../]
  [./iter]
    type = MaterialRealAux
    property = plastic_NR_iterations
    variable = iter
  [../]
[]

[Postprocessors]
  [./max_iter]
    type = ElementExtremeValue
    variable = iter
    outputs = console
  [../]
  [./av_linesearch]
    type = ElementAverageValue
    variable = linesearch
    outputs = console
  [../]
  [./av_ld]
    type = ElementAverageValue
    variable = ld
    outputs = console
  [../]
  [./av_constr_added]
    type = ElementAverageValue
    variable = constr_added
    outputs = console
  [../]
  [./av_iter]
    type = ElementAverageValue
    variable = iter
    outputs = console
  [../]
[]


[UserObjects]
  [./simple0]
    type = SolidMechanicsPlasticSimpleTester
    a = 1
    b = 0
    strength = 1E9
    yield_function_tolerance = 1.0E-6
    internal_constraint_tolerance = 1.0E-6
  [../]
  [./simple1]
    type = SolidMechanicsPlasticSimpleTester
    a = 1
    b = 0
    strength = 0
    yield_function_tolerance = 1.0E-6
    internal_constraint_tolerance = 1.0E-6
  [../]
  [./simple2]
    type = SolidMechanicsPlasticSimpleTester
    a = 1
    b = 0
    strength = 1E-3
    yield_function_tolerance = 1.0E-6
    internal_constraint_tolerance = 1.0E-6
  [../]
[]

[Materials]
  active = 'elasticity_tensor strain single'
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    block = 0
    fill_method = symmetric_isotropic
    C_ijkl = '0 0.5E6'
  [../]
  [./strain]
    type = ComputeFiniteStrain
    block = 0
    displacements = 'disp_x disp_y disp_z'
  [../]
  [./elastic_model]
    type = ComputeMultiPlasticityStress
    block = 0
    ep_plastic_tolerance = 1E-7
    plastic_models = 'simple0'
  [../]
  [./single]
    type = ComputeMultiPlasticityStress
    block = 0
    ep_plastic_tolerance = 1E-7
    plastic_models = 'simple1'
  [../]
  [./double]
    type = ComputeMultiPlasticityStress
    block = 0
    ep_plastic_tolerance = 1E-7
    plastic_models = 'simple1 simple2'
  [../]
[]


[Executioner]
  end_time = 1
  dt = 1
  type = Transient
[]


[Outputs]
  file_base = paper1
  exodus = false
  csv = true
[]

(modules/contact/test/tests/cohesive_zone_model/bilinear_mixed_compare.i)

[Mesh]
  [base]
    type = GeneratedMeshGenerator
    dim = 2
    xmax = 1.0
    ymax = 1
    xmin = -0.0
    nx = 1
    ny = 1
  []
  [rename_base]
    type = RenameBoundaryGenerator
    input = base
    old_boundary = 'top bottom left right'
    new_boundary = 'top_base bottom_base left_base right_base'
  []
  [base_id]
    type = SubdomainIDGenerator
    input = rename_base
    subdomain_id = 1
  []
  [top]
    type = GeneratedMeshGenerator
    dim = 2
    xmax = 1
    ymin = 1
    ymax = 2
    nx = 1
    ny = 1
  []
  [rename_top]
    type = RenameBoundaryGenerator
    input = top
    old_boundary = 'top bottom left right'
    new_boundary = '100 101 102 103'
  []
  [top_id]
    type = SubdomainIDGenerator
    input = rename_top
    subdomain_id = 2
  []
  [combined]
    type = MeshCollectionGenerator
    inputs = 'base_id top_id'
  []
  [top_node]
    type = ExtraNodesetGenerator
    coord = '0 2 0'
    input = combined
    new_boundary = top_node
  []
  [bottom_node]
    type = ExtraNodesetGenerator
    coord = '-0.0 0 0'
    input = top_node
    new_boundary = bottom_node
  []

  [secondary]
    type = LowerDBlockFromSidesetGenerator
    new_block_id = 10001
    new_block_name = 'secondary_lower'
    sidesets = 'top_base'
    input = bottom_node
  []
  [primary]
    type = LowerDBlockFromSidesetGenerator
    new_block_id = 10000
    sidesets = '101'
    new_block_name = 'primary_lower'
    input = secondary
  []

  patch_update_strategy = auto
  patch_size = 20
  allow_renumbering = false
[]

[GlobalParams]
  displacements = 'disp_x disp_y'
[]

[Physics]
  [SolidMechanics]
    [QuasiStatic]
      generate_output = 'stress_yy vonmises_stress stress_xy'
      [all]
        strain = FINITE
        add_variables = true
        use_automatic_differentiation = true
        decomposition_method = TaylorExpansion
        generate_output = 'vonmises_stress stress_yy stress_xy'
        block = '1 2'
      []
    []
  []
[]

[BCs]
  [fix_x]
    type = DirichletBC
    preset = true
    value = 0.0
    boundary = bottom_node
    variable = disp_x
  []
  [fix_top]
    type = DirichletBC
    preset = true
    boundary = 100
    variable = disp_x
    value = 0
  []
  [top]
    type = FunctionDirichletBC
    boundary = 100
    variable = disp_y
    function = 'if(t<=0.3,t,if(t<=0.6,0.3-(t-0.3),0.6-t))'
    preset = true
  []
  [bottom]
    type = DirichletBC
    boundary = bottom_base
    variable = disp_y
    value = 0
    preset = true
  []
[]

[Materials]
  [stress]
    type = ADComputeFiniteStrainElasticStress
    block = '1 2'
  []
  [elasticity_tensor]
    type = ADComputeElasticityTensor
    fill_method = symmetric9
    C_ijkl = '1.684e5 0.176e5 0.176e5 1.684e5 0.176e5 1.684e5 0.754e5 0.754e5 0.754e5'
    block = '1 2'
  []
[]

[Postprocessors]
  [stress_yy]
    type = ElementExtremeValue
    variable = stress_yy
    value_type = max
    block = '1 2'
  []
[]

[Preconditioning]
  [smp]
    type = SMP
    full = true
  []
[]

[Executioner]
  type = Transient

  solve_type = 'PJFNK'
  line_search = 'none'

#  petsc_options = '-pc_svd_monitor -ksp_monitor_singular_values'
  petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
  petsc_options_value = 'svd        superlu_dist'

  automatic_scaling = true

  l_max_its = 2
  l_tol = 1e-14
  nl_max_its = 150
  nl_rel_tol = 1e-14
  nl_abs_tol = 1e-12
  start_time = 0.0
  dt = 0.01
  end_time = 0.85
  dtmin = 0.01
[]

[Outputs]
  exodus = true
  csv = true
[]

[UserObjects]
  [czm_uo]
    type = BilinearMixedModeCohesiveZoneModel
    primary_boundary = 101
    secondary_boundary = 'top_base'
    primary_subdomain = 10000
    secondary_subdomain = 10001

    correct_edge_dropping = true

    disp_x = disp_x
    disp_y = disp_y
    friction_coefficient = 0.0 # with 2.0 works
    secondary_variable = disp_x
    penalty = 0e6
    penalty_friction = 0e4
    use_physical_gap = true

    # bilinear parameters
    normal_strength = 1e4
    shear_strength = 1e3
    penalty_stiffness = 1e6
    power_law_parameter = 2.2
    viscosity = 1.0e-3
    GI_c = 1e3
    GII_c = 1e2
    displacements = 'disp_x disp_y'
  []
[]

[Constraints]
  [c_x]
    type = MortarGenericTraction
    primary_boundary = 101
    secondary_boundary = 'top_base'
    primary_subdomain = 10000
    secondary_subdomain = 10001
    secondary_variable = disp_x
    component = x
    use_displaced_mesh = true
    compute_lm_residuals = false
    cohesive_zone_uo = czm_uo
  []
  [c_y]
    type = MortarGenericTraction
    primary_boundary = 101
    secondary_boundary = 'top_base'
    primary_subdomain = 10000
    secondary_subdomain = 10001
    secondary_variable = disp_y
    component = y
    use_displaced_mesh = true
    compute_lm_residuals = false
    cohesive_zone_uo = czm_uo
  []
[]

(test/tests/geomsearch/3d_moving_penetration_smoothing/pl_test4qnstt.i)

[GlobalParams]
  order = SECOND
  family = LAGRANGE
[]

[Mesh]
  file = pl_test4qtt.e
  displacements = 'disp_x disp_y disp_z'
[]

[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
[]

[AuxVariables]
  [./distance]
  [../]
  [./tangential_distance]
  [../]
  [./normal_x]
  [../]
  [./normal_y]
  [../]
  [./normal_z]
  [../]
  [./closest_point_x]
  [../]
  [./closest_point_y]
  [../]
  [./closest_point_z]
  [../]
#  [./element_id]
#  [../]
  [./side]
  [../]
[]

[Kernels]
  [./diff_x]
    type = Diffusion
    variable = disp_x
  [../]
  [./diff_y]
    type = Diffusion
    variable = disp_y
  [../]
  [./diff_z]
    type = Diffusion
    variable = disp_z
  [../]
[]

[AuxKernels]
  [./penetrate]
    type = PenetrationAux
    variable = distance
    boundary = 11            #secondary
    paired_boundary = 12     #primary
    tangential_tolerance = 0.09
    normal_smoothing_distance = 0.2
  [../]

  [./penetrate2]
    type = PenetrationAux
    variable = distance
    boundary = 12            #secondary
    paired_boundary = 11     #primary
    tangential_tolerance = 0.09
    normal_smoothing_distance = 0.2
  [../]

  [./penetrate3]
    type = PenetrationAux
    variable = tangential_distance
    boundary = 11
    paired_boundary = 12
    quantity = tangential_distance
  [../]

  [./penetrate4]
    type = PenetrationAux
    variable = tangential_distance
    boundary = 12
    paired_boundary = 11
    quantity = tangential_distance
  [../]

  [./penetrate5]
    type = PenetrationAux
    variable = normal_x
    boundary = 11
    paired_boundary = 12
    quantity = normal_x
  [../]

  [./penetrate6]
    type = PenetrationAux
    variable = normal_x
    boundary = 12
    paired_boundary = 11
    quantity = normal_x
  [../]

  [./penetrate7]
    type = PenetrationAux
    variable = normal_y
    boundary = 11
    paired_boundary = 12
    quantity = normal_y
  [../]

  [./penetrate8]
    type = PenetrationAux
    variable = normal_y
    boundary = 12
    paired_boundary = 11
    quantity = normal_y
  [../]

  [./penetrate9]
    type = PenetrationAux
    variable = normal_z
    boundary = 11
    paired_boundary = 12
    quantity = normal_z
  [../]

  [./penetrate10]
    type = PenetrationAux
    variable = normal_z
    boundary = 12
    paired_boundary = 11
    quantity = normal_z
  [../]

  [./penetrate11]
    type = PenetrationAux
    variable = closest_point_x
    boundary = 11
    paired_boundary = 12
    quantity = closest_point_x
  [../]

  [./penetrate12]
    type = PenetrationAux
    variable = closest_point_x
    boundary = 12
    paired_boundary = 11
    quantity = closest_point_x
  [../]

  [./penetrate13]
    type = PenetrationAux
    variable = closest_point_y
    boundary = 11
    paired_boundary = 12
    quantity = closest_point_y
  [../]

  [./penetrate14]
    type = PenetrationAux
    variable = closest_point_y
    boundary = 12
    paired_boundary = 11
    quantity = closest_point_y
  [../]

  [./penetrate15]
    type = PenetrationAux
    variable = closest_point_z
    boundary = 11
    paired_boundary = 12
    quantity = closest_point_z
  [../]

  [./penetrate16]
    type = PenetrationAux
    variable = closest_point_z
    boundary = 12
    paired_boundary = 11
    quantity = closest_point_z
  [../]

#  [./penetrate17]
#    type = PenetrationAux
#    variable = element_id
#    boundary = 11
#    paired_boundary = 12
#    quantity = element_id
#  [../]
#
#  [./penetrate18]
#    type = PenetrationAux
#    variable = element_id
#    boundary = 12
#    paired_boundary = 11
#    quantity = element_id
#  [../]

  [./penetrate19]
    type = PenetrationAux
    variable = side
    boundary = 11
    paired_boundary = 12
    quantity = side
  [../]

  [./penetrate20]
    type = PenetrationAux
    variable = side
    boundary = 12
    paired_boundary = 11
    quantity = side
  [../]
[]

[BCs]
  [./b1x]
    type = DirichletBC
    variable = disp_x
    preset = false
    boundary = 1
    value = 0
  [../]

  [./b1y]
    type = DirichletBC
    variable = disp_y
    preset = false
    boundary = 1
    value = 0
  [../]

  [./b1z]
    type = DirichletBC
    variable = disp_z
    preset = false
    boundary = 1
    value = 0
  [../]

  [./b2x]
    type = DirichletBC
    variable = disp_x
    preset = false
    boundary = 2
    value = 0
  [../]

  [./b2y]
    type = FunctionDirichletBC
    variable = disp_y
    preset = false
    boundary = 2
    function = disp_y
  [../]

  [./b2z]
    type = DirichletBC
    variable = disp_z
    preset = false
    boundary = 2
    value = 0
  [../]
[]

[Functions]
  [./disp_y]
    type = PiecewiseLinear
    x = '0.0 0.25 0.75 1.0'
    y = '0.0 2.0 -2.0  0.0'
  [../]
[]

[Executioner]
  type = Transient

  solve_type = 'PJFNK'
  petsc_options = '-snes_ksp_ew'

  nl_abs_tol = 1e-7
  l_max_its = 10

  start_time = 0.0
  dt = 0.02
  end_time = 1.0
  [./Quadrature]
    order = THIRD
  [../]
[]

[Outputs]
  file_base = pl_test4qnstt_out
  exodus = true
[]

(modules/contact/test/tests/verification/patch_tests/single_pnt_2d/single_point_2d_contact_line_search.i)

[GlobalParams]
  volumetric_locking_correction = true
  displacements = 'disp_x disp_y'
[]

[Mesh]
  file = single_point_2d.e
[]

[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
[]

[AuxVariables]
  [./penetration]
  [../]
  [./saved_x]
  [../]
  [./saved_y]
  [../]
  [./diag_saved_x]
  [../]
  [./diag_saved_y]
  [../]
  [./inc_slip_x]
  [../]
  [./inc_slip_y]
  [../]
  [./accum_slip_x]
  [../]
  [./accum_slip_y]
  [../]
[]

[Functions]
  [./appl_disp]
    type = PiecewiseLinear
    x = '0 0.001  0.101'
    y = '0 0.0   -0.10'
  [../]
[]

[Kernels]
  [./TensorMechanics]
    use_displaced_mesh = true
    save_in = 'saved_x saved_y'
  [../]
[]

[AuxKernels]
  [./incslip_x]
    type = PenetrationAux
    variable = inc_slip_x
    quantity = incremental_slip_x
    boundary = 3
    paired_boundary = 2
  [../]
  [./incslip_y]
    type = PenetrationAux
    variable = inc_slip_y
    quantity = incremental_slip_y
    boundary = 3
    paired_boundary = 2
  [../]
  [./accum_slip_x]
    type = AccumulateAux
    variable = accum_slip_x
    accumulate_from_variable = inc_slip_x
    execute_on = timestep_end
  [../]
  [./accum_slip_y]
    type = AccumulateAux
    variable = accum_slip_y
    accumulate_from_variable = inc_slip_y
    execute_on = timestep_end
  [../]
  [./penetration]
    type = PenetrationAux
    variable = penetration
    boundary = 3
    paired_boundary = 2
  [../]
[]

[BCs]
  [./botx]
    type = DirichletBC
    variable = disp_x
    boundary = 1
    value = 0.0
  [../]
  [./boty]
    type = DirichletBC
    variable = disp_y
    boundary = 1
    value = 0.0
  [../]
  [./topx]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 4
    function = appl_disp
  [../]
  [./topy]
    type = DirichletBC
    variable = disp_y
    boundary = 4
    value = -0.002001
  [../]
[]

[Materials]
  [./bot_elas_tens]
    type = ComputeIsotropicElasticityTensor
    block = '1'
    youngs_modulus = 1e9
    poissons_ratio = 0.3
  [../]
  [./bot_strain]
    type = ComputePlaneFiniteStrain
    block = '1'
  [../]
  [./bot_stress]
    type = ComputeFiniteStrainElasticStress
    block = '1'
  [../]
  [./top_elas_tens]
    type = ComputeIsotropicElasticityTensor
    block = '2'
    youngs_modulus = 1e6
    poissons_ratio = 0.3
  [../]
  [./top_strain]
    type = ComputePlaneFiniteStrain
    block = '2'
  [../]
  [./top_stress]
    type = ComputeFiniteStrainElasticStress
    block = '2'
  [../]
[]

[Postprocessors]
  [./disp_x]
    type = NodalVariableValue
    nodeid = 5
    variable = disp_x
  [../]
  [./disp_y]
    type = NodalVariableValue
    nodeid = 5
    variable = disp_y
  [../]
  [./inc_slip_x]
    type = NodalVariableValue
    nodeid = 5
    variable = inc_slip_x
  [../]
  [./inc_slip_y]
    type = NodalVariableValue
    nodeid = 5
    variable = inc_slip_y
  [../]
  [./accum_slip_x]
    type = NodalVariableValue
    nodeid = 5
    variable = accum_slip_x
  [../]
  [./accum_slip_y]
    type = NodalVariableValue
    nodeid = 5
    variable = accum_slip_y
  [../]
[]

[Executioner]
  type = Transient
  solve_type = 'PJFNK'

  petsc_options_iname = '-pc_type -pc_factor_mat_solver_type -mat_superlu_dist_iterrefine'
  petsc_options_value = 'lu    superlu_dist 1'

  line_search = 'contact'
  contact_line_search_allowed_lambda_cuts = 0
  contact_line_search_ltol = 0.5

  l_max_its = 15
  nl_max_its = 10
  dt = 0.001
  end_time = 0.002
  num_steps = 10000
  nl_rel_tol = 1e-6
  nl_abs_tol = 1e-8
  dtmin = 0.001
  l_tol = 1e-3
[]

[Outputs]
  print_linear_residuals = true
  perf_graph = true
  csv = true
  [./console]
    type = Console
    max_rows = 5
  [../]
[]

[Contact]
  [./leftright]
    primary = 2
    secondary = 3
    model = frictionless
    formulation = kinematic
    penalty = 1e12
    normalize_penalty = true
    tangential_tolerance = 1e-3
  [../]
[]

(modules/contact/test/tests/mortar_aux_kernels/pressure-aux-friction-3d.i)

starting_point = 0.25
offset = 0.00

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
  diffusivity = 1e0
  scaling = 1e0
[]

[Mesh]
  second_order = false
  [top_block]
    type = GeneratedMeshGenerator
    dim = 3
    nx = 3
    ny = 3
    nz = 3
    xmin = -0.25
    xmax = 0.25
    ymin = -0.25
    ymax = 0.25
    zmin = -0.25
    zmax = 0.25
    elem_type = HEX8
  []
  [rotate_top_block]
    type = TransformGenerator
    input = top_block
    transform = ROTATE
    vector_value = '0 0 0'
  []
  [top_block_sidesets]
    type = RenameBoundaryGenerator
    input = rotate_top_block
    old_boundary = '0 1 2 3 4 5'
    new_boundary = 'top_bottom top_back top_right top_front top_left top_top'
  []
  [top_block_id]
    type = SubdomainIDGenerator
    input = top_block_sidesets
    subdomain_id = 1
  []
  [bottom_block]
    type = GeneratedMeshGenerator
    dim = 3
    nx = 10
    ny = 10
    nz = 2
    xmin = -.5
    xmax = .5
    ymin = -.5
    ymax = .5
    zmin = -.3
    zmax = -.25
    elem_type = HEX8
  []
  [bottom_block_id]
    type = SubdomainIDGenerator
    input = bottom_block
    subdomain_id = 2
  []
  [bottom_block_change_boundary_id]
    type = RenameBoundaryGenerator
    input = bottom_block_id
    old_boundary = '0 1 2 3 4 5'
    new_boundary = '100 101 102 103 104 105'
  []
  [combined]
    type = MeshCollectionGenerator
    inputs = 'top_block_id bottom_block_change_boundary_id'
  []
  [block_rename]
    type = RenameBlockGenerator
    input = combined
    old_block = '1 2'
    new_block = 'top_block bottom_block'
  []
  [bottom_right_sideset]
    type = SideSetsAroundSubdomainGenerator
    input = block_rename
    new_boundary = bottom_right
    block = bottom_block
    normal = '1 0 0'
  []
  [bottom_left_sideset]
    type = SideSetsAroundSubdomainGenerator
    input = bottom_right_sideset
    new_boundary = bottom_left
    block = bottom_block
    normal = '-1 0 0'
  []
  [bottom_top_sideset]
    type = SideSetsAroundSubdomainGenerator
    input = bottom_left_sideset
    new_boundary = bottom_top
    block = bottom_block
    normal = '0 0 1'
  []
  [bottom_bottom_sideset]
    type = SideSetsAroundSubdomainGenerator
    input = bottom_top_sideset
    new_boundary = bottom_bottom
    block = bottom_block
    normal = '0  0 -1'
  []
  [bottom_front_sideset]
    type = SideSetsAroundSubdomainGenerator
    input = bottom_bottom_sideset
    new_boundary = bottom_front
    block = bottom_block
    normal = '0 1 0'
  []
  [bottom_back_sideset]
    type = SideSetsAroundSubdomainGenerator
    input = bottom_front_sideset
    new_boundary = bottom_back
    block = bottom_block
    normal = '0 -1 0'
  []
  [secondary]
    input = bottom_back_sideset
    type = LowerDBlockFromSidesetGenerator
    sidesets = 'top_bottom' # top_back top_left'
    new_block_id = '10001'
    new_block_name = 'secondary_lower'
  []
  [primary]
    input = secondary
    type = LowerDBlockFromSidesetGenerator
    sidesets = 'bottom_top'
    new_block_id = '10000'
    new_block_name = 'primary_lower'
  []
[]

[Variables]
  [disp_x]
    block = '1 2'
  []
  [disp_y]
    block = '1 2'
  []
  [disp_z]
    block = '1 2'
  []
  [lm_x]
    block = 'secondary_lower'
    use_dual = true
  []
  [lm_y]
    block = 'secondary_lower'
    use_dual = true
  []
  [lm_z]
    block = 'secondary_lower'
    use_dual = true
  []
[]

[AuxVariables]
  [normal_lm]
    family = LAGRANGE
    order = FIRST
  []
  [tangent1_lm]
    family = LAGRANGE
    order = FIRST
  []
  [tangent2_lm]
    family = LAGRANGE
    order = FIRST
  []
[]

[ICs]
  [disp_z]
    block = 1
    variable = disp_z
    value = '${fparse offset}'
    type = ConstantIC
  []
  [disp_x]
    block = 1
    variable = disp_x
    value = 0
    type = ConstantIC
  []
  [disp_y]
    block = 1
    variable = disp_y
    value = 0
    type = ConstantIC
  []
[]

[Kernels]
  [disp_x]
    type = MatDiffusion
    variable = disp_x
  []
  [disp_y]
    type = MatDiffusion
    variable = disp_y
  []
  [disp_z]
    type = MatDiffusion
    variable = disp_z
  []
[]

[AuxKernels]
  [tangent2_lm]
    type = MortarPressureComponentAux
    variable = tangent2_lm
    primary_boundary = 'bottom_top'
    secondary_boundary = 'top_bottom'
    lm_var_x = lm_x
    lm_var_y = lm_y
    lm_var_z = lm_z
    component = 'tangent2'
    boundary = 'top_bottom'
  []
[]

[Constraints]
  [weighted_gap_lm]
    type = ComputeFrictionalForceCartesianLMMechanicalContact
    primary_boundary = 'bottom_top'
    secondary_boundary = 'top_bottom'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    lm_x = lm_x
    lm_y = lm_y
    lm_z = lm_z
    variable = lm_x # This can be anything really
    disp_x = disp_x
    disp_y = disp_y
    disp_z = disp_z
    use_displaced_mesh = true
    correct_edge_dropping = true
    c = 1e+02
    c_t = 1e+2
    mu = 0.10
  []
  [normal_x]
    type = CartesianMortarMechanicalContact
    primary_boundary = 'bottom_top'
    secondary_boundary = 'top_bottom'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    variable = lm_x
    secondary_variable = disp_x
    component = x
    use_displaced_mesh = true
    compute_lm_residuals = false
    correct_edge_dropping = true
  []
  [normal_y]
    type = CartesianMortarMechanicalContact
    primary_boundary = 'bottom_top'
    secondary_boundary = 'top_bottom'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    variable = lm_y
    secondary_variable = disp_y
    component = y
    use_displaced_mesh = true
    compute_lm_residuals = false
    correct_edge_dropping = true
  []
  [normal_z]
    type = CartesianMortarMechanicalContact
    primary_boundary = 'bottom_top'
    secondary_boundary = 'top_bottom'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    variable = lm_z
    secondary_variable = disp_z
    component = z
    use_displaced_mesh = true
    compute_lm_residuals = false
    correct_edge_dropping = true
  []
[]

[BCs]
  [botx]
    type = DirichletBC
    variable = disp_x
    boundary = 'bottom_left bottom_right bottom_front bottom_back'
    value = 0.0
  []
  [boty]
    type = DirichletBC
    variable = disp_y
    boundary = 'bottom_left bottom_right bottom_front bottom_back'
    value = 0.0
  []
  [botz]
    type = DirichletBC
    variable = disp_z
    boundary = 'bottom_left bottom_right bottom_front bottom_back'
    value = 0.0
  []
  [topx]
    type = DirichletBC
    variable = disp_x
    boundary = 'top_top'
    value = 0.0
  []
  [topy]
    type = DirichletBC
    variable = disp_y
    boundary = 'top_top'
    value = 0.0
  []
  [topz]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'top_top'
    function = '-${starting_point} * sin(2 * pi / 40 * t) + ${offset}'
  []
[]

[Preconditioning]
  [smp]
    type = SMP
    full = true
  []
[]

[Executioner]
  type = Transient
  end_time = 1
  dt = .5
  dtmin = .01
  solve_type = 'NEWTON'
  petsc_options = '-snes_converged_reason -ksp_converged_reason -snes_view'

  petsc_options_iname = '-pc_type -pc_factor_mat_solver_package -pc_factor_shift_type -pc_factor_shift_amount'
  petsc_options_value = ' lu       superlu_dist                  NONZERO               1e-15'
  l_max_its = 100
  nl_max_its = 30
  # nl_rel_tol = 1e-6
  nl_abs_tol = 1e-12
  line_search = 'none'
  snesmf_reuse_base = false
[]

[Debug]
  show_var_residual_norms = true
[]

[Outputs]
  exodus = false
  csv = true
  execute_on = 'FINAL'
[]

[VectorPostprocessors]
  [tangent2_lm]
    type = NodalValueSampler
    block = secondary_lower
    variable = tangent2_lm
    sort_by = 'id'
  []
[]

(modules/solid_mechanics/test/tests/crystal_plasticity/monolithic_material_based/crysp.i)

[Mesh]
  type = GeneratedMesh
  dim = 3
  elem_type = HEX8
  displacements = 'ux uy uz'
[]

[Variables]
  [./ux]
    block = 0
  [../]
  [./uy]
    block = 0
  [../]
  [./uz]
    block = 0
  [../]
[]

[AuxVariables]
  [./stress_zz]
    order = CONSTANT
    family = MONOMIAL
    block = 0
  [../]
  [./fp_zz]
    order = CONSTANT
    family = MONOMIAL
    block = 0
  [../]
  [./rotout]
    order = CONSTANT
    family = MONOMIAL
    block = 0
  [../]
  [./e_zz]
    order = CONSTANT
    family = MONOMIAL
    block = 0
  [../]
  [./gss1]
    order = CONSTANT
    family = MONOMIAL
    block = 0
  [../]
[]

[Functions]
  [./tdisp]
    type = ParsedFunction
    expression = 0.01*t
  [../]
[]

[Kernels]
  [SolidMechanics]
    displacements = 'ux uy uz'
    use_displaced_mesh = true
  [../]
[]

[AuxKernels]
  [./stress_zz]
    type = RankTwoAux
    variable = stress_zz
    rank_two_tensor = stress
    index_j = 2
    index_i = 2
    execute_on = timestep_end
    block = 0
  [../]
  [./fp_zz]
    type = RankTwoAux
    variable = fp_zz
    rank_two_tensor = fp
    index_j = 2
    index_i = 2
    execute_on = timestep_end
    block = 0
  [../]
  [./e_zz]
    type = RankTwoAux
    variable = e_zz
    rank_two_tensor = lage
    index_j = 2
    index_i = 2
    execute_on = timestep_end
    block = 0
  [../]
  [./gss1]
    type = MaterialStdVectorAux
    variable = gss1
    property = gss
    index = 0
    execute_on = timestep_end
    block = 0
  [../]
[]

[BCs]
  [./symmy]
    type = DirichletBC
    variable = uy
    boundary = bottom
    value = 0
  [../]
  [./symmx]
    type = DirichletBC
    variable = ux
    boundary = left
    value = 0
  [../]
  [./symmz]
    type = DirichletBC
    variable = uz
    boundary = back
    value = 0
  [../]
  [./tdisp]
    type = FunctionDirichletBC
    variable = uz
    boundary = front
    function = tdisp
  [../]
[]

[Materials]
  [./crysp]
    type = FiniteStrainCrystalPlasticity
    block = 0
    gtol = 1e-2
    slip_sys_file_name = input_slip_sys.txt
    nss = 12
    num_slip_sys_flowrate_props = 2 #Number of properties in a slip system
    flowprops = '1 4 0.001 0.1 5 8 0.001 0.1 9 12 0.001 0.1'
    hprops = '1.0 541.5 60.8 109.8 2.5'
    gprops = '1 4 60.8 5 8 60.8 9 12 60.8'
    tan_mod_type = exact
  [../]
  [./elasticity_tensor]
    type = ComputeElasticityTensorCP
    block = 0
    C_ijkl = '1.684e5 1.214e5 1.214e5 1.684e5 1.214e5 1.684e5 0.754e5 0.754e5 0.754e5'
    fill_method = symmetric9
  [../]
  [./strain]
    type = ComputeFiniteStrain
    block = 0
    displacements = 'ux uy uz'
  [../]
[]

[Postprocessors]
  [./stress_zz]
    type = ElementAverageValue
    variable = stress_zz
    block = 'ANY_BLOCK_ID 0'
  [../]
  [./fp_zz]
    type = ElementAverageValue
    variable = fp_zz
    block = 'ANY_BLOCK_ID 0'
  [../]
  [./e_zz]
    type = ElementAverageValue
    variable = e_zz
    block = 'ANY_BLOCK_ID 0'
  [../]
  [./gss1]
    type = ElementAverageValue
    variable = gss1
    block = 'ANY_BLOCK_ID 0'
  [../]
[]

[Preconditioning]
  [./smp]
    type = SMP
    full = true
  [../]
[]

[Executioner]
  type = Transient

  #Preconditioned JFNK (default)
  solve_type = 'PJFNK'

  petsc_options_iname = '-pc_type'
  petsc_options_value = 'lu'

  nl_rel_tol = 1e-10
  nl_abs_tol = 1e-10

  dt = 0.05
  dtmax = 10.0
  dtmin = 0.05

  num_steps = 10
[]

[Outputs]
  file_base = out
  exodus = true
[]

(modules/porous_flow/test/tests/flux_limited_TVD_pflow/pffltvd_2D_angle.i)

# Using flux-limited TVD advection ala Kuzmin and Turek, mploying PorousFlow Kernels and UserObjects, with superbee flux-limiter
# 2D version with velocity = (0.1, 0.2, 0)
[Mesh]
  type = GeneratedMesh
  dim = 2
  nx = 10
  xmin = 0
  xmax = 1
  ny = 10
  ymin = 0
  ymax = 1
[]

[GlobalParams]
  PorousFlowDictator = dictator
  gravity = '0 0 0'
[]

[Variables]
  [porepressure]
  []
  [tracer]
  []
[]

[ICs]
  [porepressure]
    type = FunctionIC
    variable = porepressure
    function = '1 - x - 2 * y'
  []
  [tracer]
    type = FunctionIC
    variable = tracer
    function = 'if(x<0.1 | x > 0.3 | y < 0.1 | y > 0.3, 0, 1)'
  []
[]

[Kernels]
  [mass0]
    type = PorousFlowMassTimeDerivative
    fluid_component = 0
    variable = tracer
  []
  [flux0]
    type = PorousFlowFluxLimitedTVDAdvection
    variable = tracer
    advective_flux_calculator = advective_flux_calculator_0
  []
  [mass1]
    type = PorousFlowMassTimeDerivative
    fluid_component = 1
    variable = porepressure
  []
  [flux1]
    type = PorousFlowFluxLimitedTVDAdvection
    variable = porepressure
    advective_flux_calculator = advective_flux_calculator_1
  []
[]

[BCs]
  [constant_boundary_porepressure]
    type = FunctionDirichletBC
    variable = porepressure
    function = '1 - x - 2 * y'
    boundary = 'left right top bottom'
  []
  [no_tracer_at_boundary]
    type = DirichletBC
    variable = tracer
    value = 0
    boundary = 'left right top bottom'
  []
[]

[FluidProperties]
  [the_simple_fluid]
    type = SimpleFluidProperties
    bulk_modulus = 2E9
    thermal_expansion = 0
    viscosity = 1.0
    density0 = 1000.0
  []
[]

[UserObjects]
  [dictator]
    type = PorousFlowDictator
    porous_flow_vars = 'porepressure tracer'
    number_fluid_phases = 1
    number_fluid_components = 2
  []
  [pc]
    type = PorousFlowCapillaryPressureConst
  []
  [advective_flux_calculator_0]
    type = PorousFlowAdvectiveFluxCalculatorUnsaturatedMultiComponent
    flux_limiter_type = superbee
    fluid_component = 0
  []
  [advective_flux_calculator_1]
    type = PorousFlowAdvectiveFluxCalculatorUnsaturatedMultiComponent
    flux_limiter_type = superbee
    fluid_component = 1
  []
[]

[Materials]
  [temperature]
    type = PorousFlowTemperature
  []
  [ppss]
    type = PorousFlow1PhaseP
    porepressure = porepressure
    capillary_pressure = pc
  []
  [massfrac]
    type = PorousFlowMassFraction
    mass_fraction_vars = tracer
  []
  [simple_fluid]
    type = PorousFlowSingleComponentFluid
    fp = the_simple_fluid
    phase = 0
  []
  [relperm]
    type = PorousFlowRelativePermeabilityConst
    phase = 0
  []
  [porosity]
    type = PorousFlowPorosity
    porosity_zero = 0.1
  []
  [permeability]
    type = PorousFlowPermeabilityConst
    permeability = '1E-2 0 0   0 1E-2 0   0 0 1E-2'
  []
[]

[Preconditioning]
  active = basic
  [basic]
    type = SMP
    full = true
    petsc_options = '-ksp_diagonal_scale -ksp_diagonal_scale_fix'
    petsc_options_iname = '-pc_type -sub_pc_type -sub_pc_factor_shift_type -pc_asm_overlap'
    petsc_options_value = ' asm      lu           NONZERO                   2'
  []
  [preferred_but_might_not_be_installed]
    type = SMP
    full = true
    petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
    petsc_options_value = ' lu       mumps'
  []
[]

[Executioner]
  type = Transient
  solve_type = Newton
  end_time = 0.3
  dt = 0.1
[]

[Outputs]
  [out]
    type = Exodus
    execute_on = 'initial final'
  []
[]

(modules/solid_mechanics/test/tests/mohr_coulomb/planar_hard1.i)

# apply uniform stretches in x, y and z directions.
# let mc_cohesion = 10, mc_cohesion_residual = 2, mc_cohesion_rate =
# With cohesion = C, friction_angle = 60deg, tip_smoother = 4, the
# algorithm should return to
# sigma_m = C*Cos(60)/Sin(60)
# This allows checking of the relationship for C

[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]


[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
[]

[Kernels]
  [SolidMechanics]
    displacements = 'disp_x disp_y disp_z'
  [../]
[]


[BCs]
  [./x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'front back'
    function = '1E-6*x*t'
  [../]
  [./y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'front back'
    function = '1E-6*y*t'
  [../]
  [./z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'front back'
    function = '1E-6*z*t'
  [../]
[]

[AuxVariables]
  [./stress_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./mc_int]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./yield_fcn]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]

[AuxKernels]
  [./stress_xx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xx
    index_i = 0
    index_j = 0
  [../]
  [./stress_xy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xy
    index_i = 0
    index_j = 1
  [../]
  [./stress_xz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xz
    index_i = 0
    index_j = 2
  [../]
  [./stress_yy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yy
    index_i = 1
    index_j = 1
  [../]
  [./stress_yz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yz
    index_i = 1
    index_j = 2
  [../]
  [./stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zz
    index_i = 2
    index_j = 2
  [../]
  [./mc_int_auxk]
    type = MaterialStdVectorAux
    index = 0
    property = plastic_internal_parameter
    variable = mc_int
  [../]
  [./yield_fcn_auxk]
    type = MaterialStdVectorAux
    index = 0
    property = plastic_yield_function
    variable = yield_fcn
  [../]
[]

[Postprocessors]
  [./s_xx]
    type = PointValue
    point = '0 0 0'
    variable = stress_xx
  [../]
  [./s_xy]
    type = PointValue
    point = '0 0 0'
    variable = stress_xy
  [../]
  [./s_xz]
    type = PointValue
    point = '0 0 0'
    variable = stress_xz
  [../]
  [./s_yy]
    type = PointValue
    point = '0 0 0'
    variable = stress_yy
  [../]
  [./s_yz]
    type = PointValue
    point = '0 0 0'
    variable = stress_yz
  [../]
  [./s_zz]
    type = PointValue
    point = '0 0 0'
    variable = stress_zz
  [../]
  [./internal]
    type = PointValue
    point = '0 0 0'
    variable = mc_int
  [../]
  [./f]
    type = PointValue
    point = '0 0 0'
    variable = yield_fcn
  [../]
[]

[UserObjects]
  [./mc_coh]
    type = SolidMechanicsHardeningExponential
    value_0 = 10
    value_residual = 2
    rate = 1E4
  [../]
  [./mc_phi]
    type = SolidMechanicsHardeningConstant
    value = 60
    convert_to_radians = true
  [../]
  [./mc_psi]
    type = SolidMechanicsHardeningConstant
    value = 5
    convert_to_radians = true
  [../]
  [./mc]
    type = SolidMechanicsPlasticMohrCoulombMulti
    cohesion = mc_coh
    friction_angle = mc_phi
    dilation_angle = mc_psi
    yield_function_tolerance = 1E-5
    use_custom_returnMap = true
    shift = 1E-12
    internal_constraint_tolerance = 1E-9
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    block = 0
    fill_method = symmetric_isotropic
    C_ijkl = '0.7E7 1E7'
  [../]
  [./strain]
    type = ComputeIncrementalStrain
    block = 0
    displacements = 'disp_x disp_y disp_z'
  [../]
  [./mc]
    type = ComputeMultiPlasticityStress
    block = 0
    ep_plastic_tolerance = 1E-12
    plastic_models = mc
  [../]
[]


[Executioner]
  end_time = 10
  dt = 1
  type = Transient
[]


[Outputs]
  file_base = planar_hard1
  exodus = false
  [./csv]
    type = CSV
    execute_on = timestep_end
    [../]
[]

(modules/solid_mechanics/test/tests/multi/paper5.i)

# This runs the J2+cap+hardening example model described in the 'MultiSurface' plasticity paper
#
# Plasticity models:
# J2 with strength = 20MPa to 10MPa in 100% strain
# Compressive cap with strength = 15MPa to 5MPa in 100% strain
#
# Lame lambda = 1.2GPa.  Lame mu = 1.2GPa (Young = 3GPa, poisson = 0.25)
#
# A line of elements is perturbed randomly, and return to the yield surface at each quadpoint is checked

[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1000
  ny = 125
  nz = 1
  xmin = 0
  xmax = 1000
  ymin = 0
  ymax = 125
  zmin = 0
  zmax = 1
[]


[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
[]

[Kernels]
  [SolidMechanics]
    displacements = 'disp_x disp_y disp_z'
  [../]
[]


[ICs]
  [./x]
    type = RandomIC
    min = -0.1
    max = 0.1
    variable = disp_x
  [../]
  [./y]
    type = RandomIC
    min = -0.1
    max = 0.1
    variable = disp_y
  [../]
  [./z]
    type = RandomIC
    min = -0.1
    max = 0.1
    variable = disp_z
  [../]
[]

[BCs]
  [./x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'front back'
    function = '0'
  [../]
  [./y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'front back'
    function = '0'
  [../]
  [./z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'front back'
    function = '0'
  [../]
[]

[AuxVariables]
  [./stress_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./intnl0]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./intnl1]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f0]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f1]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./linesearch]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./ld]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./constr_added]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./iter]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]

[AuxKernels]
  [./stress_xx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xx
    index_i = 0
    index_j = 0
  [../]
  [./stress_xy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xy
    index_i = 0
    index_j = 1
  [../]
  [./stress_xz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xz
    index_i = 0
    index_j = 2
  [../]
  [./stress_yy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yy
    index_i = 1
    index_j = 1
  [../]
  [./stress_yz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yz
    index_i = 1
    index_j = 2
  [../]
  [./stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zz
    index_i = 2
    index_j = 2
  [../]
  [./f0]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 0
    variable = f0
  [../]
  [./f1]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 1
    variable = f1
  [../]
  [./intnl0]
    type = MaterialStdVectorAux
    property = plastic_internal_parameter
    index = 0
    variable = intnl0
  [../]
  [./intnl1]
    type = MaterialStdVectorAux
    property = plastic_internal_parameter
    index = 1
    variable = intnl1
  [../]
  [./linesearch]
    type = MaterialRealAux
    property = plastic_linesearch_needed
    variable = linesearch
  [../]
  [./ld]
    type = MaterialRealAux
    property = plastic_linear_dependence_encountered
    variable = ld
  [../]
  [./constr_added]
    type = MaterialRealAux
    property = plastic_constraints_added
    variable = constr_added
  [../]
  [./iter]
    type = MaterialRealAux
    property = plastic_NR_iterations
    variable = iter
  [../]
[]

[Postprocessors]
  [./max_f0]
    type = ElementExtremeValue
    variable = f0
    outputs = console
  [../]
  [./max_f1]
    type = ElementExtremeValue
    variable = f1
    outputs = console
  [../]
  [./max_iter]
    type = ElementExtremeValue
    variable = iter
    outputs = console
  [../]
  [./av_iter]
    type = ElementAverageValue
    variable = iter
    outputs = 'console csv'
  [../]
  [./av_linesearch]
    type = ElementAverageValue
    variable = linesearch
    outputs = 'console csv'
  [../]
  [./av_ld]
    type = ElementAverageValue
    variable = ld
    outputs = 'console csv'
  [../]
  [./av_constr_added]
    type = ElementAverageValue
    variable = constr_added
    outputs = 'console csv'
  [../]
[]

[UserObjects]
  [./yield_strength]
    type = SolidMechanicsHardeningCubic
    value_0 = 20E6
    value_residual = 10E6
    internal_limit = 1
  [../]
  [./j2]
    type = SolidMechanicsPlasticJ2
    yield_strength = yield_strength
    yield_function_tolerance = 1.0E2
    internal_constraint_tolerance = 1.0E-7
    use_custom_returnMap = false
  [../]


  [./compressive_strength]
    type = SolidMechanicsHardeningCubic
    value_0 = 15E6
    value_residual = 5E6
    internal_limit = 1
  [../]
  [./cap]
    type = SolidMechanicsPlasticMeanCap
    a = -1
    strength = compressive_strength
    yield_function_tolerance = 1.0E2
    internal_constraint_tolerance = 1.0E-7
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    block = 0
    fill_method = symmetric_isotropic
    C_ijkl = '1.2E9 1.2E9'
  [../]
  [./strain]
    type = ComputeIncrementalStrain
    block = 0
    displacements = 'disp_x disp_y disp_z'
  [../]
  [./multi]
    type = ComputeMultiPlasticityStress
    block = 0
    ep_plastic_tolerance = 1E-5

    plastic_models = 'j2 cap'
    max_NR_iterations = 10
    deactivation_scheme = 'safe'
    min_stepsize = 1
    max_stepsize_for_dumb = 1
    tangent_operator = elastic # tangent operator is unimportant in this test

    debug_fspb = crash
    debug_jac_at_stress = '10E6 0 0 0 10E6 0 0 0 10E6'
    debug_jac_at_pm = '1E-2 1E-2'
    debug_jac_at_intnl = '0.05 0.05'
    debug_stress_change = 1E1
    debug_pm_change = '1E-6 1E-6'
    debug_intnl_change = '1E-6 1E-6'
  [../]
[]


[Executioner]
  end_time = 1
  dt = 1
  type = Transient
[]


[Outputs]
  file_base = paper5
  exodus = false
  csv = true
  perf_graph = true
[]

(test/tests/actions/add_auxkernel_action/flux_average.i)

[Mesh]
  type = GeneratedMesh
  dim = 2
  nx = 10
  ny = 10
[]

[Variables]
  [u]
  []
[]

[AuxVariables]
  [flux]
    order = CONSTANT
    family = MONOMIAL
    [AuxKernel]
      type = FluxAverageAux
      coupled = u
      diffusivity = 0.1
      boundary = right
    []
  []
[]

[Functions]
  [bc_func]
    type = ParsedFunction
    expression = y+1
  []
[]

[Kernels]
  [diff]
    type = CoefDiffusion
    variable = u
    coef = 0.1
  []
  [time]
    type = TimeDerivative
    variable = u
  []
[]

[AuxKernels]
  [flux_average]
    type = FluxAverageAux
    variable = flux
    coupled = u
    diffusivity = 0.1
    boundary = right
  []
[]

[BCs]
  [left]
    type = DirichletBC
    variable = u
    boundary = left
    value = 0
  []
  [right]
    type = FunctionDirichletBC
    variable = u
    boundary = right
    function = bc_func
  []
[]

[Executioner]
  type = Transient
  num_steps = 5
  dt = 0.1
  solve_type = PJFNK
  petsc_options_iname = '-pc_type -pc_hypre_type'
  petsc_options_value = 'hypre boomeramg'
[]

[Outputs]
  exodus = true
[]

(modules/solid_mechanics/test/tests/crystal_plasticity/hcp_twinning/demonstration_combined_hcp_slip_twins.i)

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]

[Mesh]
  [single_xtal]
    type = GeneratedMeshGenerator
    dim = 3
    nx = 2
    ny = 2
    nz = 2
    elem_type = HEX8
  []
[]

[AuxVariables]
  [temperature]
  []
  [pk2]
    order = CONSTANT
    family = MONOMIAL
  []
  [fp_xx]
    order = CONSTANT
    family = MONOMIAL
  []
  [fp_zz]
    order = CONSTANT
    family = MONOMIAL
  []
  [e_zz]
    order = CONSTANT
    family = MONOMIAL
  []
  [total_twin_volume_fraction]
    order = CONSTANT
    family = MONOMIAL
  []
  [slip_increment_0]
    order = CONSTANT
    family = MONOMIAL
  []
  [slip_increment_3]
    order = CONSTANT
    family = MONOMIAL
  []
  [slip_increment_9]
    order = CONSTANT
    family = MONOMIAL
  []
  [resolved_shear_stress_3]
    order = CONSTANT
    family = MONOMIAL
  []
  [resolved_shear_stress_9]
    order = CONSTANT
    family = MONOMIAL
  []
  [slip_resistance_0]
    order = CONSTANT
    family = MONOMIAL
  []
  [slip_resistance_3]
    order = CONSTANT
    family = MONOMIAL
  []
  [slip_resistance_9]
    order = CONSTANT
    family = MONOMIAL
  []
  [resolved_twin_stress_0]
    order = CONSTANT
    family = MONOMIAL
  []
  [twin_resistance_0]
    order = CONSTANT
    family = MONOMIAL
  []
[]

[Physics/SolidMechanics/QuasiStatic/all]
  strain = FINITE
  incremental = true
  add_variables = true
  generate_output = stress_zz
[]

[AuxKernels]
  [temperature]
    type = ConstantAux
    variable = temperature
    value= 300
  []
  [pk2]
    type = RankTwoAux
    variable = pk2
    rank_two_tensor = second_piola_kirchhoff_stress
    index_j = 2
    index_i = 2
    execute_on = timestep_end
  []
  [fp_xx]
    type = RankTwoAux
    variable = fp_xx
    rank_two_tensor = plastic_deformation_gradient
    index_j = 0
    index_i = 0
    execute_on = timestep_end
  []
  [fp_zz]
    type = RankTwoAux
    variable = fp_zz
    rank_two_tensor = plastic_deformation_gradient
    index_j = 2
    index_i = 2
    execute_on = timestep_end
  []
  [e_zz]
    type = RankTwoAux
    variable = e_zz
    rank_two_tensor = total_lagrangian_strain
    index_j = 2
    index_i = 2
    execute_on = timestep_end
  []
  [total_twin_volume_fraction]
    type = MaterialRealAux
    variable = total_twin_volume_fraction
    property = twin_total_volume_fraction_twins
    execute_on = timestep_end
  []
  [slip_increment_0]
   type = MaterialStdVectorAux
   variable = slip_increment_0
   property = slip_increment
   index = 0
   execute_on = timestep_end
  []
  [slip_increment_3]
   type = MaterialStdVectorAux
   variable = slip_increment_3
   property = slip_increment
   index = 3
   execute_on = timestep_end
  []
  [slip_increment_9]
   type = MaterialStdVectorAux
   variable = slip_increment_9
   property = slip_increment
   index = 9
   execute_on = timestep_end
  []
  [tau_3]
    type = MaterialStdVectorAux
    variable = resolved_shear_stress_3
    property = applied_shear_stress
    index = 3
    execute_on = timestep_end
  []
  [tau_9]
    type = MaterialStdVectorAux
    variable = resolved_shear_stress_9
    property = applied_shear_stress
    index = 9
    execute_on = timestep_end
  []
  [slip_resistance_0]
    type = MaterialStdVectorAux
    variable = slip_resistance_0
    property = slip_resistance
    index = 0
    execute_on = timestep_end
  []
  [slip_resistance_3]
    type = MaterialStdVectorAux
    variable = slip_resistance_3
    property = slip_resistance
    index = 3
    execute_on = timestep_end
  []
  [slip_resistance_9]
    type = MaterialStdVectorAux
    variable = slip_resistance_9
    property = slip_resistance
    index = 9
    execute_on = timestep_end
  []
  [twin_tau_0]
    type = MaterialStdVectorAux
    variable = resolved_twin_stress_0
    property = twin_applied_shear_stress
    index = 0
    execute_on = timestep_end
  []
  [twin_resistance_0]
    type = MaterialStdVectorAux
    variable = twin_resistance_0
    property = twin_slip_resistance
    index = 0
    execute_on = timestep_end
  []
[]

[BCs]
  [symmy]
    type = DirichletBC
    variable = disp_y
    preset = true
    boundary = bottom
    value = 0
  []
  [symmx]
    type = DirichletBC
    variable = disp_x
    boundary = left
    value = 0
  []
  [symmz]
    type = DirichletBC
    variable = disp_z
    boundary = back
    value = 0
  []
  [tdisp]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = front
    function = '0.005*t'
  []
[]

[Materials]
  [elasticity_tensor]
    type = ComputeElasticityTensorCP
    C_ijkl = '1.622e5 9.18e4 6.88e4 1.622e5 6.88e4 1.805e5 4.67e4 4.67e4 4.67e4' #alpha Ti, Alankar et al. Acta Materialia 59 (2011) 7003-7009
    fill_method = symmetric9
  []
  [stress]
    type = ComputeMultipleCrystalPlasticityStress
    crystal_plasticity_models = 'slip_xtalpl twin_xtalpl'
    tan_mod_type = exact
  []
  [slip_xtalpl]
    type = CrystalPlasticityHCPDislocationSlipBeyerleinUpdate
    number_slip_systems = 15
    slip_sys_file_name = 'hcp_aprismatic_capyramidal_slip_sys.txt'
    unit_cell_dimension = '2.934e-7 2.934e-7 4.657e-7' #Ti, in mm, https://materialsproject.org/materials/mp-46/
    zero_tol = 5e-10
    temperature = temperature
    initial_forest_dislocation_density = 15.0e5
    initial_substructure_density = 1.0e3
    slip_system_modes = 2
    number_slip_systems_per_mode = '3 12'
    lattice_friction_per_mode = '98 224' #Knezevic et al MSEA 654 (2013)
    effective_shear_modulus_per_mode = '4.7e4 4.7e4' #Ti, in MPa, https://materialsproject.org/materials/mp-46/
    burgers_vector_per_mode = '2.934e-7 6.586e-7' #Ti, in mm, https://materialsproject.org/materials/mp-46/
    slip_generation_coefficient_per_mode = '1.25e5 2.25e7' #from Beyerlein and Tome 2008 IJP
    normalized_slip_activiation_energy_per_mode = '3.73e-3 3.2e-2' #from Beyerlein and Tome 2008 IJP
    slip_energy_proportionality_factor_per_mode = '330 100' #from Beyerlein and Tome 2008 IJP
    substructure_rate_coefficient_per_mode = '355 0.4' #from Capolungo et al MSEA (2009)
    applied_strain_rate = 0.001
    gamma_o = 1.0e-3
    Hall_Petch_like_constant_per_mode = '0.2 0.2' #Estimated to match graph in Capolungo et al MSEA (2009), Figure 2
    grain_size = 20.0e-3 #20 microns, Beyerlein and Tome IJP (2008)
    total_twin_volume_fraction = twin_total_volume_fraction_twins
  []
  [twin_xtalpl]
    type = CrystalPlasticityTwinningKalidindiUpdate
    base_name = twin
    crystal_lattice_type = HCP
    unit_cell_dimension = '2.934e-7 2.934e-7 4.657e-7' #Ti, in mm, https://materialsproject.org/materials/mp-46/
    number_slip_systems = 6
    slip_sys_file_name = 'hcp_tensile_twin_systems.txt'
    initial_twin_lattice_friction = 1140.0
    non_coplanar_coefficient_twin_hardening = 10000
    coplanar_coefficient_twin_hardening = 1000
    characteristic_twin_shear = 0.167
  []
[]

[Postprocessors]
  [stress_zz]
    type = ElementAverageValue
    variable = stress_zz
  []
  [pk2]
    type = ElementAverageValue
    variable = pk2
  []
  [fp_xx]
    type = ElementAverageValue
    variable = fp_xx
  []
  [fp_zz]
    type = ElementAverageValue
    variable = fp_zz
  []
  [e_zz]
    type = ElementAverageValue
    variable = e_zz
  []
  [total_twin_volume_fraction]
    type = ElementAverageValue
    variable = total_twin_volume_fraction
  []
  [slip_increment_0]
    type = ElementAverageValue
    variable = slip_increment_0
  []
  [slip_increment_3]
    type = ElementAverageValue
    variable = slip_increment_3
  []
  [slip_increment_9]
    type = ElementAverageValue
    variable = slip_increment_9
  []
  [tau_3]
    type = ElementAverageValue
    variable = resolved_shear_stress_3
  []
  [tau_9]
    type = ElementAverageValue
    variable = resolved_shear_stress_9
  []
  [slip_resistance_0]
    type = ElementAverageValue
    variable = slip_resistance_0
  []
  [slip_resistance_3]
    type = ElementAverageValue
    variable = slip_resistance_3
  []
  [slip_resistance_9]
    type = ElementAverageValue
    variable = slip_resistance_9
  []
  [twin_tau_0]
    type = ElementAverageValue
    variable = resolved_twin_stress_0
  []
  [twin_resistance_0]
    type = ElementAverageValue
    variable = twin_resistance_0
  []
[]

[Preconditioning]
  [smp]
    type = SMP
    full = true
  []
[]

[Executioner]
  type = Transient
  solve_type = 'PJFNK'

  petsc_options_iname = '-pc_type -pc_asm_overlap -sub_pc_type -ksp_type -ksp_gmres_restart'
  petsc_options_value = ' asm      2              lu            gmres     200'
  nl_rel_tol = 1e-12
  nl_abs_step_tol = 1e-10

  dt = 0.5
  dtmin = 1.0e-2
  dtmax = 10.0
  end_time = 2.25
[]

[Outputs]
  csv = true
  perf_graph = true
[]

(modules/solid_mechanics/test/tests/mohr_coulomb/small_deform1_uo.i)

# apply uniform stretch in x, y and z directions.
# With cohesion = 10, friction_angle = 60deg, tip_smoother = 4, the
# algorithm should return to
# sigma_m = (10*Cos(60) - 4)/Sin(60) = 1.1547

[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]


[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
[]

[Kernels]
  [SolidMechanics]
    displacements = 'disp_x disp_y disp_z'
  [../]
[]


[BCs]
  [./x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'front back'
    function = '1E-6*x'
  [../]
  [./y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'front back'
    function = '1E-6*y'
  [../]
  [./z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'front back'
    function = '1E-6*z'
  [../]
[]

[AuxVariables]
  [./stress_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]

[AuxKernels]
  [./stress_xx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xx
    index_i = 0
    index_j = 0
  [../]
  [./stress_xy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xy
    index_i = 0
    index_j = 1
  [../]
  [./stress_xz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xz
    index_i = 0
    index_j = 2
  [../]
  [./stress_yy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yy
    index_i = 1
    index_j = 1
  [../]
  [./stress_yz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yz
    index_i = 1
    index_j = 2
  [../]
  [./stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zz
    index_i = 2
    index_j = 2
  [../]
  [./f]
    type = MaterialStdVectorAux
    index = 0
    property = plastic_yield_function
    variable = f
  [../]
[]

[Postprocessors]
  [./s_xx]
    type = PointValue
    point = '0 0 0'
    variable = stress_xx
  [../]
  [./s_xy]
    type = PointValue
    point = '0 0 0'
    variable = stress_xy
  [../]
  [./s_xz]
    type = PointValue
    point = '0 0 0'
    variable = stress_xz
  [../]
  [./s_yy]
    type = PointValue
    point = '0 0 0'
    variable = stress_yy
  [../]
  [./s_yz]
    type = PointValue
    point = '0 0 0'
    variable = stress_yz
  [../]
  [./s_zz]
    type = PointValue
    point = '0 0 0'
    variable = stress_zz
  [../]
  [./f]
    type = PointValue
    point = '0 0 0'
    variable = f
  [../]
[]

[UserObjects]
  [./mc_coh]
    type = SolidMechanicsHardeningConstant
    value = 10
  [../]
  [./mc_phi]
    type = SolidMechanicsHardeningConstant
    value = 60
    convert_to_radians = true
  [../]
  [./mc_psi]
    type = SolidMechanicsHardeningConstant
    value = 5
    convert_to_radians = true
  [../]
  [./mc]
    type = SolidMechanicsPlasticMohrCoulomb
    cohesion = mc_coh
    friction_angle = mc_phi
    dilation_angle = mc_psi
    mc_tip_smoother = 4
    mc_edge_smoother = 25
    yield_function_tolerance = 1E-3
    internal_constraint_tolerance = 1E-9
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    block = 0
    fill_method = symmetric_isotropic
    C_ijkl = '0 1E7'
  [../]
  [./strain]
    type = ComputeFiniteStrain
    block = 0
    displacements = 'disp_x disp_y disp_z'
  [../]
  [./mc]
    type = ComputeMultiPlasticityStress
    block = 0
    ep_plastic_tolerance = 1E-9
    plastic_models = mc
    debug_fspb = crash
    debug_jac_at_stress = '10 0 0 0 10 0 0 0 10'
    debug_jac_at_pm = 1
    debug_jac_at_intnl = 1
    debug_stress_change = 1E-5
    debug_pm_change = 1E-6
    debug_intnl_change = 1E-6
  [../]
[]


[Executioner]
  end_time = 1
  dt = 1
  type = Transient
[]


[Outputs]
  file_base = small_deform1_uo
  exodus = false
  [./csv]
    type = CSV
    [../]
[]

(modules/solid_mechanics/test/tests/finite_strain_elastic/finite_strain_elastic_eigen_sol.i)

[Mesh]
  type = GeneratedMesh
  dim = 3
  elem_type = HEX8
[]

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]

[Functions]
  [./tdisp]
    type = ParsedFunction
    expression = '0.01 * t'
  [../]
[]

[Physics/SolidMechanics/QuasiStatic]
  [./all]
    strain = FINITE
    add_variables = true
    decomposition_method = EigenSolution
  [../]
[]

[BCs]
  [./symmy]
    type = DirichletBC
    variable = disp_y
    boundary = bottom
    value = 0
  [../]
  [./symmx]
    type = DirichletBC
    variable = disp_x
    boundary = left
    value = 0
  [../]
  [./symmz]
    type = DirichletBC
    variable = disp_z
    boundary = back
    value = 0
  [../]
  [./tdisp]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = front
    function = tdisp
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    C_ijkl = '1.684e5 0.176e5 0.176e5 1.684e5 0.176e5 1.684e5 0.754e5 0.754e5 0.754e5'
    fill_method = symmetric9
  [../]
  [./stress]
    type = ComputeFiniteStrainElasticStress
  [../]
[]

[Preconditioning]
  [./smp]
    type = SMP
    full = true
  [../]
[]

[Executioner]
  type = Transient
  solve_type = 'PJFNK'

  petsc_options_iname = -pc_hypre_type
  petsc_options_value = boomeramg

  nl_abs_tol = 1e-10
  nl_rel_step_tol = 1e-10
  nl_rel_tol = 1e-10

  dt = 0.05
  dtmin = 0.05
  nl_abs_step_tol = 1e-10

  num_steps = 10
[]

[Outputs]
  exodus = true
[]

(modules/solid_mechanics/test/tests/capped_mohr_coulomb/random3.i)

# Using CappedMohrCoulomb with Mohr-Coulomb failure only
# Plasticity models:
# Cohesion = 1MPa
# Friction angle = dilation angle = 0.5
#
# Lame lambda = 1GPa.  Lame mu = 1.3GPa
#
# A line of elements is perturbed randomly, and return to the yield surface at each quadpoint is checked

[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1000
  ny = 1234
  nz = 1
  xmin = 0
  xmax = 1000
  ymin = 0
  ymax = 1234
  zmin = 0
  zmax = 1
[]

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]

[Physics/SolidMechanics/QuasiStatic]
  [./all]
    add_variables = true
    incremental = true
    generate_output = 'stress_xx stress_xy stress_xz stress_yy stress_yz stress_zz'
  [../]
[]

[ICs]
  [./x]
    type = RandomIC
    min = -0.1
    max = 0.1
    variable = disp_x
  [../]
  [./y]
    type = RandomIC
    min = -0.1
    max = 0.1
    variable = disp_y
  [../]
  [./z]
    type = RandomIC
    min = -0.1
    max = 0.1
    variable = disp_z
  [../]
[]

[BCs]
  [./x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'front back'
    function = '0'
  [../]
  [./y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'front back'
    function = '0'
  [../]
  [./z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'front back'
    function = '0'
  [../]
[]

[AuxVariables]
  [./f0]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f1]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f2]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f3]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f4]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f5]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./int0]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./iter]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]

[AuxKernels]
  [./f0]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 6
    variable = f0
  [../]
  [./f1]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 7
    variable = f1
  [../]
  [./f2]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 8
    variable = f2
  [../]
  [./f3]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 9
    variable = f3
  [../]
  [./f4]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 10
    variable = f4
  [../]
  [./f5]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 11
    variable = f5
  [../]
  [./int0]
    type = MaterialStdVectorAux
    property = plastic_internal_parameter
    index = 0
    variable = int0
  [../]
  [./iter]
    type = MaterialRealAux
    property = plastic_NR_iterations
    variable = iter
  [../]
[]

[Postprocessors]
  [./tot_iters]
    type = ElementIntegralMaterialProperty
    mat_prop = plastic_NR_iterations
    outputs = console
  [../]
  [./intnl_max]
    type = ElementExtremeValue
    variable = int0
    outputs = console
  [../]
  [./raw_f0]
    type = ElementExtremeValue
    variable = f0
    outputs = console
  [../]
  [./raw_f1]
    type = ElementExtremeValue
    variable = f1
    outputs = console
  [../]
  [./raw_f2]
    type = ElementExtremeValue
    variable = f2
    outputs = console
  [../]
  [./raw_f3]
    type = ElementExtremeValue
    variable = f3
    outputs = console
  [../]
  [./raw_f4]
    type = ElementExtremeValue
    variable = f4
    outputs = console
  [../]
  [./raw_f5]
    type = ElementExtremeValue
    variable = f5
    outputs = console
  [../]
  [./iter]
    type = ElementExtremeValue
    variable = iter
    outputs = console
  [../]
  [./f0]
    type = FunctionValuePostprocessor
    function = should_be_zero0_fcn
  [../]
  [./f1]
    type = FunctionValuePostprocessor
    function = should_be_zero1_fcn
  [../]
  [./f2]
    type = FunctionValuePostprocessor
    function = should_be_zero2_fcn
  [../]
  [./f3]
    type = FunctionValuePostprocessor
    function = should_be_zero3_fcn
  [../]
  [./f4]
    type = FunctionValuePostprocessor
    function = should_be_zero4_fcn
  [../]
  [./f5]
    type = FunctionValuePostprocessor
    function = should_be_zero5_fcn
  [../]
[]

[Functions]
  [./should_be_zero0_fcn]
    type = ParsedFunction
    expression = 'if(a<1E-1,0,a)'
    symbol_names = 'a'
    symbol_values = 'raw_f0'
  [../]
  [./should_be_zero1_fcn]
    type = ParsedFunction
    expression = 'if(a<1E-1,0,a)'
    symbol_names = 'a'
    symbol_values = 'raw_f1'
  [../]
  [./should_be_zero2_fcn]
    type = ParsedFunction
    expression = 'if(a<1E-1,0,a)'
    symbol_names = 'a'
    symbol_values = 'raw_f2'
  [../]
  [./should_be_zero3_fcn]
    type = ParsedFunction
    expression = 'if(a<1E-1,0,a)'
    symbol_names = 'a'
    symbol_values = 'raw_f3'
  [../]
  [./should_be_zero4_fcn]
    type = ParsedFunction
    expression = 'if(a<1E-1,0,a)'
    symbol_names = 'a'
    symbol_values = 'raw_f4'
  [../]
  [./should_be_zero5_fcn]
    type = ParsedFunction
    expression = 'if(a<1E-1,0,a)'
    symbol_names = 'a'
    symbol_values = 'raw_f5'
  [../]
[]

[UserObjects]
  [./ts]
    type = SolidMechanicsHardeningConstant
    value = 1E12
  [../]
  [./cs]
    type = SolidMechanicsHardeningConstant
    value = 1E12
  [../]
  [./coh]
    type = SolidMechanicsHardeningCubic
    value_0 = 1E6
    value_residual = 0
    internal_limit = 1
  [../]
  [./ang]
    type = SolidMechanicsHardeningCubic
    value_0 = 0.9
    value_residual = 0.2
    internal_limit = 1
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    fill_method = symmetric_isotropic
    C_ijkl = '1E9 1.3E9'
  [../]
  [./tensile]
    type = CappedMohrCoulombStressUpdate
    tensile_strength = ts
    compressive_strength = cs
    cohesion = coh
    friction_angle = ang
    dilation_angle = ang
    smoothing_tol = 1E5
    max_NR_iterations = 100
    yield_function_tol = 1.0E-1
  [../]
  [./stress]
    type = ComputeMultipleInelasticStress
    inelastic_models = tensile
    perform_finite_strain_rotations = false
  [../]
[]


[Executioner]
  end_time = 1
  dt = 1
  type = Transient
[]


[Outputs]
  file_base = random3
  csv = true
[]

(modules/solid_mechanics/test/tests/mohr_coulomb/planar_hard3.i)

# apply repeated stretches in x z directions, and smaller stretches along the y direction,
# so that sigma_I = sigma_II,
# which means that lode angle = 30deg.
# Both return to the edge (lode angle = 30deg, ie 010100) and tip are experienced.
#
# It is checked that the yield functions are less than their tolerance values
# It is checked that the cohesion hardens correctly

[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]


[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
[]

[Kernels]
  [SolidMechanics]
    displacements = 'disp_x disp_y disp_z'
  [../]
[]


[BCs]
  [./x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'front back'
    function = '1E-6*x*t'
  [../]
  [./y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'front back'
    function = '0.05E-6*y*t'
  [../]
  [./z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'front back'
    function = '1E-6*z*t'
  [../]
[]

[Functions]
  [./should_be_zero_fcn]
    type = ParsedFunction
    expression = 'if((a<1E-5)&(b<1E-5)&(c<1E-5)&(d<1E-5)&(g<1E-5)&(h<1E-5),0,abs(a)+abs(b)+abs(c)+abs(d)+abs(g)+abs(h))'
    symbol_names = 'a b c d g h'
    symbol_values = 'f0 f1 f2 f3 f4 f5'
  [../]
  [./coh_analytic]
    type = ParsedFunction
    expression = '20-10*exp(-1E5*intnl)'
    symbol_names = intnl
    symbol_values = internal
  [../]
  [./coh_from_yieldfcns]
    type = ParsedFunction
    expression = '(f0+f1-(sxx+syy)*sin(phi))/(-2)/cos(phi)'
    symbol_names = 'f0 f1 sxx syy phi'
    symbol_values = 'f0 f1 s_xx s_yy 0.8726646'
  [../]
  [./should_be_zero_coh]
    type = ParsedFunction
    expression = 'if(abs(a-b)<1E-6,0,1E6*abs(a-b))'
    symbol_names = 'a b'
    symbol_values = 'Coh_analytic Coh_moose'
  [../]
[]

[AuxVariables]
  [./stress_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./mc_int]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./yield_fcn0]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./yield_fcn1]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./yield_fcn2]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./yield_fcn3]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./yield_fcn4]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./yield_fcn5]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]

[AuxKernels]
  [./stress_xx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xx
    index_i = 0
    index_j = 0
  [../]
  [./stress_xy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xy
    index_i = 0
    index_j = 1
  [../]
  [./stress_xz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xz
    index_i = 0
    index_j = 2
  [../]
  [./stress_yy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yy
    index_i = 1
    index_j = 1
  [../]
  [./stress_yz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yz
    index_i = 1
    index_j = 2
  [../]
  [./stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zz
    index_i = 2
    index_j = 2
  [../]
  [./mc_int_auxk]
    type = MaterialStdVectorAux
    index = 0
    property = plastic_internal_parameter
    variable = mc_int
  [../]
  [./yield_fcn0]
    type = MaterialStdVectorAux
    index = 0
    property = plastic_yield_function
    variable = yield_fcn0
  [../]
  [./yield_fcn1]
    type = MaterialStdVectorAux
    index = 1
    property = plastic_yield_function
    variable = yield_fcn1
  [../]
  [./yield_fcn2]
    type = MaterialStdVectorAux
    index = 2
    property = plastic_yield_function
    variable = yield_fcn2
  [../]
  [./yield_fcn3]
    type = MaterialStdVectorAux
    index = 3
    property = plastic_yield_function
    variable = yield_fcn3
  [../]
  [./yield_fcn4]
    type = MaterialStdVectorAux
    index = 4
    property = plastic_yield_function
    variable = yield_fcn4
  [../]
  [./yield_fcn5]
    type = MaterialStdVectorAux
    index = 5
    property = plastic_yield_function
    variable = yield_fcn5
  [../]
[]

[Postprocessors]
  [./s_xx]
    type = PointValue
    point = '0 0 0'
    variable = stress_xx
  [../]
  [./s_xy]
    type = PointValue
    point = '0 0 0'
    variable = stress_xy
  [../]
  [./s_xz]
    type = PointValue
    point = '0 0 0'
    variable = stress_xz
  [../]
  [./s_yy]
    type = PointValue
    point = '0 0 0'
    variable = stress_yy
  [../]
  [./s_yz]
    type = PointValue
    point = '0 0 0'
    variable = stress_yz
  [../]
  [./s_zz]
    type = PointValue
    point = '0 0 0'
    variable = stress_zz
  [../]
  [./internal]
    type = PointValue
    point = '0 0 0'
    variable = mc_int
  [../]
  [./f0]
    type = PointValue
    point = '0 0 0'
    variable = yield_fcn0
  [../]
  [./f1]
    type = PointValue
    point = '0 0 0'
    variable = yield_fcn1
  [../]
  [./f2]
    type = PointValue
    point = '0 0 0'
    variable = yield_fcn2
  [../]
  [./f3]
    type = PointValue
    point = '0 0 0'
    variable = yield_fcn3
  [../]
  [./f4]
    type = PointValue
    point = '0 0 0'
    variable = yield_fcn4
  [../]
  [./f5]
   type = PointValue
    point = '0 0 0'
    variable = yield_fcn5
  [../]
  [./yfcns_should_be_zero]
    type = FunctionValuePostprocessor
    function = should_be_zero_fcn
  [../]
  [./Coh_analytic]
    type = FunctionValuePostprocessor
    function = coh_analytic
  [../]
  [./Coh_moose]
    type = FunctionValuePostprocessor
    function = coh_from_yieldfcns
  [../]
  [./cohesion_difference_should_be_zero]
    type = FunctionValuePostprocessor
    function = should_be_zero_coh
  [../]
[]

[UserObjects]
  [./mc_coh]
    type = SolidMechanicsHardeningExponential
    value_0 = 10
    value_residual = 20
    rate = 1E5
  [../]
  [./mc_phi]
    type = SolidMechanicsHardeningConstant
    value = 0.8726646
  [../]
  [./mc_psi]
    type = SolidMechanicsHardeningConstant
    value = 1 #0.8726646 # 50deg
  [../]
  [./mc]
    type = SolidMechanicsPlasticMohrCoulombMulti
    cohesion = mc_coh
    friction_angle = mc_phi
    dilation_angle = mc_psi
    yield_function_tolerance = 1E-5
    use_custom_returnMap = true
    internal_constraint_tolerance = 1E-9
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    block = 0
    fill_method = symmetric_isotropic
    C_ijkl = '0 1E7'
  [../]
  [./strain]
    type = ComputeFiniteStrain
    block = 0
    displacements = 'disp_x disp_y disp_z'
  [../]
  [./mc]
    type = ComputeMultiPlasticityStress
    block = 0
    ep_plastic_tolerance = 1E-12
    plastic_models = mc
  [../]
[]


[Executioner]
  end_time = 5
  dt = 1
  type = Transient
[]


[Outputs]
  file_base = planar_hard3
  exodus = false
  [./csv]
    type = CSV
    hide = 'f0 f1 f2 f3 f4 f5 s_xy s_xz s_yz Coh_analytic Coh_moose'
    execute_on = 'timestep_end'
  [../]
[]

(modules/contact/test/tests/mortar_cartesian_lms/frictionless-weighted-gap-lm.i)

starting_point = 2e-1
offset = 1e-2

[GlobalParams]
  displacements = 'disp_x disp_y'
  diffusivity = 1e0
  scaling = 1e0
[]

[Mesh]
  file = long-bottom-block-1elem-blocks.e
[]

[Variables]
  [disp_x]
    block = '1 2'
  []
  [disp_y]
    block = '1 2'
  []
  [lm_x]
    block = 3
  []
  [lm_y]
    block = 3
  []
[]

[ICs]
  [disp_y]
    block = 2
    variable = disp_y
    value = '${fparse starting_point + offset}'
    type = ConstantIC
  []
[]

[Kernels]
  [disp_x]
    type = MatDiffusion
    variable = disp_x
  []
  [disp_y]
    type = MatDiffusion
    variable = disp_y
  []
[]

[Constraints]
  [weighted_gap_lm]
    type = ComputeWeightedGapCartesianLMMechanicalContact
    primary_boundary = 20
    secondary_boundary = 10
    primary_subdomain = 4
    secondary_subdomain = 3
    lm_x = lm_x
    lm_y = lm_y
    variable = lm_x # Shouldn't be needed, but forced by framework
    disp_x = disp_x
    disp_y = disp_y
    use_displaced_mesh = true
    c = 1
  []
  [normal_x]
    type = CartesianMortarMechanicalContact
    primary_boundary = 20
    secondary_boundary = 10
    primary_subdomain = 4
    secondary_subdomain = 3
    variable = lm_x
    secondary_variable = disp_x
    component = x
    use_displaced_mesh = true
    compute_lm_residuals = false
  []
  [normal_y]
    type = CartesianMortarMechanicalContact
    primary_boundary = 20
    secondary_boundary = 10
    primary_subdomain = 4
    secondary_subdomain = 3
    variable = lm_y
    secondary_variable = disp_y
    component = y
    use_displaced_mesh = true
    compute_lm_residuals = false
  []
[]

[BCs]
  [botx]
    type = DirichletBC
    variable = disp_x
    boundary = 40
    value = 0.0
  []
  [boty]
    type = DirichletBC
    variable = disp_y
    boundary = 40
    value = 0.0
  []
  [topy]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 30
    function = '${starting_point} * cos(2 * pi / 40 * t) + ${offset}'
  []
  [leftx]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 50
    function = '1e-2 * t'
  []
[]

[Executioner]
  type = Transient
  end_time = 200
  dt = 5
  dtmin = 5
  solve_type = 'PJFNK'
  petsc_options = '-snes_converged_reason -ksp_converged_reason -pc_svd_monitor '
                  '-snes_linesearch_monitor'
  petsc_options_iname = '-pc_type -pc_factor_shift_type -pc_factor_shift_amount -mat_mffd_err'
  petsc_options_value = 'lu       NONZERO               1e-15                   1e-5'
  l_max_its = 30
  l_tol = 1e-03
  nl_max_its = 20
  line_search = 'none'
  snesmf_reuse_base = true
[]

[Debug]
  show_var_residual_norms = true
[]

[Outputs]
  exodus = true
[]

[Preconditioning]
  [smp]
    type = SMP
    full = true
  []
[]

[Postprocessors]
  active = 'num_nl cumulative contact'
  [num_nl]
    type = NumNonlinearIterations
  []
  [cumulative]
    type = CumulativeValuePostprocessor
    postprocessor = num_nl
  []
  [contact]
    type = ContactDOFSetSize
    variable = lm_y
    subdomain = '3'
    execute_on = 'nonlinear timestep_end'
  []
[]

(modules/solid_mechanics/test/tests/crystal_plasticity/stress_update_material_based/update_method_test.i)

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]

[Mesh]
  type = GeneratedMesh
  dim = 3
  elem_type = HEX8
[]

[AuxVariables]
  [pk2]
    order = CONSTANT
    family = MONOMIAL
  []
  [fp_zz]
    order = CONSTANT
    family = MONOMIAL
  []
  [e_zz]
    order = CONSTANT
    family = MONOMIAL
  []
  [gss]
    order = CONSTANT
    family = MONOMIAL
  []
  [slip_increment]
   order = CONSTANT
   family = MONOMIAL
  []
[]

[Physics/SolidMechanics/QuasiStatic/all]
  strain = FINITE
  add_variables = true
  generate_output = stress_zz
[]

[AuxKernels]
  [pk2]
   type = RankTwoAux
   variable = pk2
   rank_two_tensor = second_piola_kirchhoff_stress
   index_j = 2
   index_i = 2
   execute_on = timestep_end
  []
  [fp_zz]
    type = RankTwoAux
    variable = fp_zz
    rank_two_tensor = plastic_deformation_gradient
    index_j = 2
    index_i = 2
    execute_on = timestep_end
  []
  [e_zz]
    type = RankTwoAux
    variable = e_zz
    rank_two_tensor = total_lagrangian_strain
    index_j = 2
    index_i = 2
    execute_on = timestep_end
  []
  [gss]
   type = MaterialStdVectorAux
   variable = gss
   property = slip_resistance
   index = 0
   execute_on = timestep_end
  []
  [slip_inc]
   type = MaterialStdVectorAux
   variable = slip_increment
   property = slip_increment
   index = 0
   execute_on = timestep_end
  []
[]

[BCs]
  [symmy]
    type = DirichletBC
    variable = disp_y
    boundary = bottom
    value = 0
  []
  [symmx]
    type = DirichletBC
    variable = disp_x
    boundary = left
    value = 0
  []
  [symmz]
    type = DirichletBC
    variable = disp_z
    boundary = back
    value = 0
  []
  [tdisp]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = front
    function = '0.01*t'
  []
[]

[Materials]
  [elasticity_tensor]
    type = ComputeElasticityTensorCP
    C_ijkl = '1.684e5 1.214e5 1.214e5 1.684e5 1.214e5 1.684e5 0.754e5 0.754e5 0.754e5'
    fill_method = symmetric9
  []
  [stress]
    type = ComputeMultipleCrystalPlasticityStress
    crystal_plasticity_models = 'trial_xtalpl'
    tan_mod_type = exact
  []
  [trial_xtalpl]
    type = CrystalPlasticityKalidindiUpdate
    number_slip_systems = 12
    slip_sys_file_name = input_slip_sys.txt
  []
[]

[Postprocessors]
  [stress_zz]
    type = ElementAverageValue
    variable = stress_zz
  []
  [pk2]
   type = ElementAverageValue
   variable = pk2
  []
  [fp_zz]
    type = ElementAverageValue
    variable = fp_zz
  []
  [e_zz]
    type = ElementAverageValue
    variable = e_zz
  []
  [gss]
    type = ElementAverageValue
    variable = gss
  []
  [slip_increment]
   type = ElementAverageValue
   variable = slip_increment
  []
[]

[Preconditioning]
  [smp]
    type = SMP
    full = true
  []
[]

[Executioner]
  type = Transient
  solve_type = 'PJFNK'

  petsc_options_iname = '-pc_type -pc_asm_overlap -sub_pc_type -ksp_type -ksp_gmres_restart'
  petsc_options_value = ' asm      2              lu            gmres     200'
  nl_abs_tol = 1e-10
  nl_rel_tol = 1e-10
  nl_abs_step_tol = 1e-10

  dt = 0.05
  dtmin = 0.01
  dtmax = 10.0
  num_steps = 10
[]

[Outputs]
  exodus = true
  perf_graph = true
[]

(modules/solid_mechanics/test/tests/crystal_plasticity/twinning/non_coplanar_twin_hardening.i)

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]

[Mesh]
  [cube]
    type = GeneratedMeshGenerator
    dim = 3
    nx = 2
    ny = 2
    nz = 2
    elem_type = HEX8
  []
[]

[AuxVariables]
  [total_twin_volume_fraction]
    order = CONSTANT
    family = MONOMIAL
  []
  [twin_resistance_0]
    order = CONSTANT
    family = MONOMIAL
  []
  [twin_resistance_1]
    order = CONSTANT
    family = MONOMIAL
  []
  [twin_resistance_2]
    order = CONSTANT
    family = MONOMIAL
  []
  [twin_resistance_3]
    order = CONSTANT
    family = MONOMIAL
  []
  [twin_volume_fraction_0]
   order = CONSTANT
   family = MONOMIAL
  []
  [twin_volume_fraction_1]
   order = CONSTANT
   family = MONOMIAL
  []
  [twin_volume_fraction_2]
   order = CONSTANT
   family = MONOMIAL
  []
  [twin_volume_fraction_3]
   order = CONSTANT
   family = MONOMIAL
  []
  [twin_tau_0]
   order = CONSTANT
   family = MONOMIAL
  []
  [twin_tau_1]
   order = CONSTANT
   family = MONOMIAL
  []
  [twin_tau_2]
   order = CONSTANT
   family = MONOMIAL
  []
  [twin_tau_3]
   order = CONSTANT
   family = MONOMIAL
  []
[]

[Physics/SolidMechanics/QuasiStatic/all]
  strain = FINITE
  add_variables = true
  generate_output = stress_zz
[]

[AuxKernels]
  [total_twin_volume_fraction]
    type = MaterialRealAux
    variable = total_twin_volume_fraction
    property = total_volume_fraction_twins
    execute_on = timestep_end
  []
  [twin_resistance_0]
   type = MaterialStdVectorAux
   variable = twin_resistance_0
   property = slip_resistance
   index = 0
   execute_on = timestep_end
  []
  [twin_resistance_1]
   type = MaterialStdVectorAux
   variable = twin_resistance_1
   property = slip_resistance
   index = 1
   execute_on = timestep_end
  []
  [twin_resistance_2]
   type = MaterialStdVectorAux
   variable = twin_resistance_2
   property = slip_resistance
   index = 2
   execute_on = timestep_end
  []
  [twin_resistance_3]
   type = MaterialStdVectorAux
   variable = twin_resistance_3
   property = slip_resistance
   index = 3
   execute_on = timestep_end
  []
  [twin_volume_fraction_0]
   type = MaterialStdVectorAux
   variable = twin_volume_fraction_0
   property = twin_system_volume_fraction
   index = 0
   execute_on = timestep_end
  []
  [twin_volume_fraction_1]
   type = MaterialStdVectorAux
   variable = twin_volume_fraction_1
   property = twin_system_volume_fraction
   index = 1
   execute_on = timestep_end
  []
  [twin_volume_fraction_2]
   type = MaterialStdVectorAux
   variable = twin_volume_fraction_2
   property = twin_system_volume_fraction
   index = 2
   execute_on = timestep_end
  []
  [twin_volume_fraction_3]
   type = MaterialStdVectorAux
   variable = twin_volume_fraction_3
   property = twin_system_volume_fraction
   index = 3
   execute_on = timestep_end
  []
  [twin_tau_0]
    type = MaterialStdVectorAux
    variable = twin_tau_0
    property = applied_shear_stress
    index = 0
    execute_on = timestep_end
  []
  [twin_tau_1]
    type = MaterialStdVectorAux
    variable = twin_tau_1
    property = applied_shear_stress
    index = 1
    execute_on = timestep_end
  []
  [twin_tau_2]
    type = MaterialStdVectorAux
    variable = twin_tau_2
    property = applied_shear_stress
    index = 2
    execute_on = timestep_end
  []
  [twin_tau_3]
    type = MaterialStdVectorAux
    variable = twin_tau_3
    property = applied_shear_stress
    index = 3
    execute_on = timestep_end
  []
[]

[BCs]
  [fix_y]
    type = DirichletBC
    variable = disp_y
    preset = true
    boundary = 'bottom'
    value = 0
  []
  [fix_x]
    type = DirichletBC
    variable = disp_x
    boundary = 'left'
    value = 0
  []
  [fix_z]
    type = DirichletBC
    variable = disp_z
    boundary = 'back'
    value = 0
  []
  [tdisp]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = front
    function = '-1.0e-3*t'
  []
[]

[Materials]
  [elasticity_tensor]
    type = ComputeElasticityTensorCP
    C_ijkl = '1.08e5 6.034e4 6.034e4 1.08e5 6.03e4 1.08e5 2.86e4 2.86e4 2.86e4' #Tallon and Wolfenden. J. Phys. Chem. Solids (1979)
    fill_method = symmetric9
  []
  [stress]
    type = ComputeMultipleCrystalPlasticityStress
    crystal_plasticity_models = 'twin_only_xtalpl'
    tan_mod_type = exact
  []
  [twin_only_xtalpl]
    type = CrystalPlasticityTwinningKalidindiUpdate
    number_slip_systems = 4
    slip_sys_file_name = 'select_twin_systems_verify_hardening.txt'
    initial_twin_lattice_friction = 6.0
    non_coplanar_coefficient_twin_hardening = 8e4
    non_coplanar_twin_hardening_exponent = 0.1
    coplanar_coefficient_twin_hardening = 0
  []
[]

[Postprocessors]
  [stress_zz]
    type = ElementAverageValue
    variable = stress_zz
  []
  [total_twin_volume_fraction]
    type = ElementAverageValue
    variable = total_twin_volume_fraction
  []
  [twin_resistance_0]
    type = ElementAverageValue
    variable = twin_resistance_0
  []
  [twin_resistance_1]
    type = ElementAverageValue
    variable = twin_resistance_1
  []
  [twin_resistance_2]
    type = ElementAverageValue
    variable = twin_resistance_2
  []
  [twin_resistance_3]
    type = ElementAverageValue
    variable = twin_resistance_3
  []
  [twin_volume_fraction_0]
    type = ElementAverageValue
    variable = twin_volume_fraction_0
  []
  [twin_volume_fraction_1]
    type = ElementAverageValue
    variable = twin_volume_fraction_1
  []
  [twin_volume_fraction_2]
    type = ElementAverageValue
    variable = twin_volume_fraction_2
  []
  [twin_volume_fraction_3]
    type = ElementAverageValue
    variable = twin_volume_fraction_3
  []
[]

[Preconditioning]
  [smp]
    type = SMP
    full = true
  []
[]

[Executioner]
  type = Transient
  solve_type = 'PJFNK'

  petsc_options_iname = '-pc_type -pc_asm_overlap -sub_pc_type -ksp_type -ksp_gmres_restart'
  petsc_options_value = ' asm      2              lu            gmres     200'
  nl_abs_tol = 1e-10
  nl_rel_tol = 1e-10
  nl_abs_step_tol = 1e-10

  dt = 0.05
  dtmin = 1e-6
  dtmax = 10.0
  num_steps = 4
[]

[Outputs]
  csv = true
  perf_graph = true
[]

(modules/solid_mechanics/test/tests/drucker_prager/small_deform2_inner_tip.i)

# apply repeated stretches in x, y and z directions, so that mean_stress = 0
# This maps out the yield surface in the octahedral plane for zero mean stress

[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]


[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
[]

[Kernels]
  [SolidMechanics]
    displacements = 'disp_x disp_y disp_z'
  [../]
[]


[BCs]
  [./x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'front back'
    function = '-1.5E-6*x+2E-6*x*sin(t)'
  [../]
  [./y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'front back'
    function = '2E-6*y*sin(2*t)'
  [../]
  [./z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'front back'
    function = '-2E-6*z*(sin(t)+sin(2*t))'
  [../]
[]

[AuxVariables]
  [./stress_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./yield_fcn]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]

[AuxKernels]
  [./stress_xx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xx
    index_i = 0
    index_j = 0
  [../]
  [./stress_xy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xy
    index_i = 0
    index_j = 1
  [../]
  [./stress_xz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xz
    index_i = 0
    index_j = 2
  [../]
  [./stress_yy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yy
    index_i = 1
    index_j = 1
  [../]
  [./stress_yz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yz
    index_i = 1
    index_j = 2
  [../]
  [./stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zz
    index_i = 2
    index_j = 2
  [../]
  [./yield_fcn_auxk]
    type = MaterialStdVectorAux
    index = 0
    property = plastic_yield_function
    variable = yield_fcn
  [../]
[]

[Postprocessors]
  [./s_xx]
    type = PointValue
    point = '0 0 0'
    variable = stress_xx
  [../]
  [./s_xy]
    type = PointValue
    point = '0 0 0'
    variable = stress_xy
  [../]
  [./s_xz]
    type = PointValue
    point = '0 0 0'
    variable = stress_xz
  [../]
  [./s_yy]
    type = PointValue
    point = '0 0 0'
    variable = stress_yy
  [../]
  [./s_yz]
    type = PointValue
    point = '0 0 0'
    variable = stress_yz
  [../]
  [./s_zz]
    type = PointValue
    point = '0 0 0'
    variable = stress_zz
  [../]
  [./f]
    type = PointValue
    point = '0 0 0'
    variable = yield_fcn
  [../]
  [./f0]
    type = PointValue
    point = '0 0 0'
    variable = yield_fcn
  [../]
  [./f1]
    type = PointValue
    point = '0 0 0'
    variable = yield_fcn
  [../]
[]

[UserObjects]
  [./mc_coh]
    type = SolidMechanicsHardeningConstant
    value = 10
  [../]
  [./mc_phi]
    type = SolidMechanicsHardeningConstant
    value = 20
    convert_to_radians = true
  [../]
  [./mc_psi]
    type = SolidMechanicsHardeningConstant
    value = 0
  [../]
  [./mc]
    type = SolidMechanicsPlasticDruckerPragerHyperbolic
    mc_cohesion = mc_coh
    mc_friction_angle = mc_phi
    mc_dilation_angle = mc_psi
    smoother = 4
    mc_interpolation_scheme = inner_tip
    yield_function_tolerance = 1E-5
    internal_constraint_tolerance = 1E-11
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    block = 0
    fill_method = symmetric_isotropic
    C_ijkl = '0 1E7'
  [../]
  [./strain]
    type = ComputeIncrementalStrain
    block = 0
    displacements = 'disp_x disp_y disp_z'
  [../]
  [./mc]
    type = ComputeMultiPlasticityStress
    block = 0
    ep_plastic_tolerance = 1E-12
    plastic_models = mc
    debug_fspb = crash
  [../]
[]


[Executioner]
  end_time = 100
  dt = 1
  type = Transient
[]


[Outputs]
  file_base = small_deform2_inner_tip
  exodus = false
  [./csv]
    type = CSV
    [../]
[]

(test/tests/time_steppers/timesequence_stepper/timesequence_restart1.i)

[Mesh]
  type = GeneratedMesh
  dim = 2
  xmin = -1
  xmax =  1
  ymin = -1
  ymax =  1
  nx = 2
  ny = 2
  elem_type = QUAD9
[]

[Functions]
  [./exact_fn]
    type = ParsedFunction
    expression = t*t*(x*x+y*y)
  [../]

  [./forcing_fn]
    type = ParsedFunction
    expression = 2*t*(x*x+y*y)-4*t*t
  [../]
[]

[Variables]
  [./u]
    family = LAGRANGE
    order = SECOND
  [../]
[]

[ICs]
  [./u_var]
    type = FunctionIC
    variable = u
    function = exact_fn
  [../]
[]

[Kernels]
  [./td]
    type = TimeDerivative
    variable = u
  [../]

  [./diff]
    type = Diffusion
    variable = u
  [../]

  [./ffn]
    type = BodyForce
    variable = u
    function = forcing_fn
  [../]
[]

[BCs]
  [./all]
    type = FunctionDirichletBC
    variable = u
    boundary = 'left right top bottom'
    function = exact_fn
  [../]
[]

[Executioner]
  type = Transient
  end_time = 4.0
  [./TimeStepper]
    type = TimeSequenceStepper
    time_sequence  = '0   0.85 1.3 2 4'
  [../]
[]

[Outputs]
  exodus = true
  [./checkpoint]
    type = Checkpoint
    num_files = 4
  [../]
[]

(modules/phase_field/test/tests/free_energy_material/RegularSolutionFreeEnergy.i)

[Mesh]
  type = GeneratedMesh
  dim = 2
  nx = 10
  ny = 10
  xmax = 1
  ymax = 500
  elem_type = QUAD4
[]

[Variables]
  [./c]
    order = FIRST
    family = LAGRANGE
    [./InitialCondition]
      type = FunctionIC
      function = x
    [../]
  [../]
  [./myT]
    order = FIRST
    family = LAGRANGE
    [./InitialCondition]
      type = FunctionIC
      function = y
    [../]
  [../]
[]

[Kernels]
  [./diff]
    type = Diffusion
    variable = c
  [../]
  [./diff2]
    type = Diffusion
    variable = myT
  [../]
[]

[BCs]
  [./left]
    type = FunctionDirichletBC
    variable = c
    boundary = left
    function = x
  [../]
  [./bottom]
    type = FunctionDirichletBC
    variable = myT
    boundary = bottom
    function = y
  [../]
  [./right]
    type = FunctionDirichletBC
    variable = c
    boundary = right
    function = x
  [../]
  [./top]
    type = FunctionDirichletBC
    variable = myT
    boundary = top
    function = y
  [../]
[]

[Materials]
  [./free_energy]
    type = RegularSolutionFreeEnergy
    property_name = F
    c = c
    T = myT
    outputs = out
  [../]
[]

[Executioner]
  type = Steady
  solve_type = NEWTON
  l_max_its = 1
  nl_max_its = 1
  nl_abs_tol = 1
[]

[Outputs]
  execute_on = 'timestep_end'
  [./out]
    type = Exodus
    execute_on = timestep_end
  [../]
[]

(test/tests/multiapps/auto_diff_auto_scaling/main.i)

[Mesh]
  type = GeneratedMesh
  dim = 2
  nx = 10
  ny = 10
[]

[Variables]
  [./u]
  [../]
[]

[Kernels]
  [./diff]
    type = ADDiffusion
    variable = u
  [../]
[]

[BCs]
  [./left]
    type = DirichletBC
    variable = u
    boundary = left
    value = 0
  [../]
  [./right]
    type = FunctionDirichletBC
    variable = u
    boundary = right
    function = 't'
  [../]
[]

[Preconditioning]
  [./smp]
    type = SMP
    full = true
  [../]
[]

[Executioner]
  type = Transient
  num_steps = 2
  solve_type = 'Newton'
  petsc_options_iname = '-pc_type -pc_hypre_type'
  petsc_options_value = 'hypre boomeramg'
  automatic_scaling = true
  verbose = true
[]

[Outputs]
  exodus = true
[]

[MultiApps]
  [sub_app]
    type = TransientMultiApp
    app_type = MooseTestApp
    input_files = 'sub.i'
    positions = '0   0   0'
  []
[]

(modules/solid_mechanics/test/tests/capped_mohr_coulomb/small_deform1.i)

# Using CappedMohrCoulomb with tensile failure only
# checking for small deformation
# A single element is stretched by 1E-6m in z direction, and by small amounts in x and y directions
# stress_zz = Youngs Modulus*Strain = 2E6*1E-6 = 2 Pa
# tensile_strength is set to 1Pa
# Then the final stress should return to the yeild surface and the minimum principal stress value should be 1pa.

[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]

[Physics/SolidMechanics/QuasiStatic]
  [./all]
    add_variables = true
    incremental = true
    generate_output = 'stress_xx stress_xy stress_xz stress_yy stress_yz stress_zz'
  [../]
[]

[BCs]
  [./x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'front back'
    function = '0.1E-6*x'
  [../]
  [./y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'front back'
    function = '0.2E-6*y'
  [../]
  [./z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'front back'
    function = '1E-6*z'
  [../]
[]

[AuxVariables]
  [./yield_fcn]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]

[AuxKernels]
  [./yield_fcn_auxk]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 0
    variable = yield_fcn
  [../]
[]

[Postprocessors]
  [./s_xx]
    type = PointValue
    point = '0 0 0'
    variable = stress_xx
  [../]
  [./s_xy]
    type = PointValue
    point = '0 0 0'
    variable = stress_xy
  [../]
  [./s_xz]
    type = PointValue
    point = '0 0 0'
    variable = stress_xz
  [../]
  [./s_yy]
    type = PointValue
    point = '0 0 0'
    variable = stress_yy
  [../]
  [./s_yz]
    type = PointValue
    point = '0 0 0'
    variable = stress_yz
  [../]
  [./s_zz]
    type = PointValue
    point = '0 0 0'
    variable = stress_zz
  [../]
  [./f]
    type = PointValue
    point = '0 0 0'
    variable = yield_fcn
  [../]
[]

[UserObjects]
  [./ts]
    type = SolidMechanicsHardeningConstant
    value = 1
  [../]
  [./coh]
    type = SolidMechanicsHardeningConstant
    value = 1E6
  [../]
  [./ang]
    type = SolidMechanicsHardeningConstant
    value = 0.5
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    block = 0
    fill_method = symmetric_isotropic
    C_ijkl = '0 2.0E6'
  [../]
  [./tensile]
    type = CappedMohrCoulombStressUpdate
    tensile_strength = ts
    compressive_strength = ts
    cohesion = coh
    friction_angle = ang
    dilation_angle = ang
    smoothing_tol = 0.0
    yield_function_tol = 1.0E-9
  [../]
  [./stress]
    type = ComputeMultipleInelasticStress
    inelastic_models = tensile
    perform_finite_strain_rotations = false
  [../]
[]


[Executioner]
  end_time = 1
  dt = 1
  type = Transient
[]


[Outputs]
  file_base = small_deform1
  csv = true
[]

(modules/contact/test/tests/bouncing-block-contact/frictionless-weighted-gap-mixed-basis.i)

starting_point = 2e-1
offset = 1e-2

[GlobalParams]
  displacements = 'disp_x disp_y'
  diffusivity = 1e0
  scaling = 1e0
[]

[Mesh]
  file = long-bottom-block-1elem-blocks.e
  second_order = true
  patch_update_strategy = always
[]

[Variables]
  [./disp_x]
    block = '1 2'
    order = SECOND
  [../]
  [./disp_y]
    block = '1 2'
    order = SECOND
  [../]
  [./normal_lm]
    block = 3
  [../]
[]

# [AuxVariables]
#   [pid]
#     order = CONSTANT
#     family = MONOMIAL
#   []
# []

# [AuxKernels]
#   [pid]
#     type = ProcessorIDAux
#     variable = pid
#   []
# []

[ICs]
  [./disp_y]
    block = 2
    variable = disp_y
    value = ${fparse starting_point + offset}
    type = ConstantIC
  [../]
[]

[Kernels]
  [./disp_x]
    type = MatDiffusion
    variable = disp_x
  [../]
  [./disp_y]
    type = MatDiffusion
    variable = disp_y
  [../]
[]


[UserObjects]
  [weighted_gap_uo]
    type = LMWeightedGapUserObject
    primary_boundary = 20
    secondary_boundary = 10
    primary_subdomain = 4
    secondary_subdomain = 3
    lm_variable = normal_lm
    disp_x = disp_x
    disp_y = disp_y
  []
[]

[Constraints]
  [./weighted_gap_lm]
    type = ComputeWeightedGapLMMechanicalContact
    primary_boundary = 20
    secondary_boundary = 10
    primary_subdomain = 4
    secondary_subdomain = 3
    variable = normal_lm
    disp_x = disp_x
    disp_y = disp_y
    use_displaced_mesh = true
    c = 1
    weighted_gap_uo = weighted_gap_uo
  [../]
  [normal_x]
    type = NormalMortarMechanicalContact
    primary_boundary = 20
    secondary_boundary = 10
    primary_subdomain = 4
    secondary_subdomain = 3
    variable = normal_lm
    secondary_variable = disp_x
    component = x
    use_displaced_mesh = true
    compute_lm_residuals = false
    weighted_gap_uo = weighted_gap_uo
  []
  [normal_y]
    type = NormalMortarMechanicalContact
    primary_boundary = 20
    secondary_boundary = 10
    primary_subdomain = 4
    secondary_subdomain = 3
    variable = normal_lm
    secondary_variable = disp_y
    component = y
    use_displaced_mesh = true
    compute_lm_residuals = false
    weighted_gap_uo = weighted_gap_uo
  []
[]

[BCs]
  [./botx]
    type = DirichletBC
    variable = disp_x
    boundary = 40
    value = 0.0
    preset = false
  [../]
  [./boty]
    type = DirichletBC
    variable = disp_y
    boundary = 40
    value = 0.0
    preset = false
  [../]
  [./topy]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 30
    function = '${starting_point} * cos(2 * pi / 40 * t) + ${offset}'
    preset = false
  [../]
  [./leftx]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 50
    function = '1e-2 * t'
    preset = false
  [../]
[]

[Executioner]
  type = Transient
  end_time = 200
  dt = 5
  dtmin = .1
  solve_type = 'PJFNK'
  petsc_options = '-snes_converged_reason -ksp_converged_reason -pc_svd_monitor -snes_linesearch_monitor'
  petsc_options_iname = '-pc_type -pc_factor_shift_type -pc_factor_shift_amount -mat_mffd_err'
  petsc_options_value = 'lu       NONZERO               1e-15                   1e-5'
  l_max_its = 30
  nl_max_its = 20
  line_search = 'none'
  snesmf_reuse_base = false
  abort_on_solve_fail = true
  nl_rel_tol = 1e-12
[]

[Debug]
  show_var_residual_norms = true
[]

[Outputs]
  exodus = true
[]

[Preconditioning]
  [./smp]
    type = SMP
    full = true
  [../]
[]

[Postprocessors]
  active = 'num_nl cumulative contact'
  [./num_nl]
    type = NumNonlinearIterations
  [../]
  [./cumulative]
    type = CumulativeValuePostprocessor
    postprocessor = num_nl
  [../]
  [contact]
    type = ContactDOFSetSize
    variable = normal_lm
    subdomain = '3'
    execute_on = 'nonlinear timestep_end'
  []
[]

(test/tests/geomsearch/patch_update_strategy/always-grid-sequence.i)

[Mesh]
  type = FileMesh
  file = long_range_coarse.e
  dim = 2
  patch_update_strategy = always
  displacements = 'disp_x disp_y'
[]

[Problem]
  type = ReferenceResidualProblem
  extra_tag_vectors = 'ref'
  reference_vector = 'ref'
  solution_variables = 'u'
[]

[Variables]
  [./u]
  [../]
[]

[AuxVariables]
  [./linear_field]
  [../]
  [./receiver]
    # The field to transfer into
  [../]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./elemental_reciever]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]

[Kernels]
  [./diff]
    type = CoefDiffusion
    variable = u
    coef = 1
    extra_vector_tags = 'ref'
  [../]
[]

[AuxKernels]
  [./linear_in_y]
    # This just gives us something to transfer that varies in y so we can ensure the transfer is working properly...
    type = FunctionAux
    variable = linear_field
    function = y
    execute_on = initial
  [../]
  [./right_to_left]
    type = GapValueAux
    variable = receiver
    paired_variable = linear_field
    paired_boundary = rightleft
    execute_on = 'nonlinear timestep_end'
    boundary = leftright
  [../]
  [./y_displacement]
    type = FunctionAux
    variable = disp_y
    function = t
    execute_on = 'linear timestep_begin'
    block = left
  [../]
  [./elemental_right_to_left]
    type = GapValueAux
    variable = elemental_reciever
    paired_variable = linear_field
    paired_boundary = rightleft
    boundary = leftright
  [../]
[]

[BCs]
  [./top]
    type = FunctionDirichletBC
    variable = u
    boundary = 'lefttop righttop'
    function = 't'
  [../]
  [./bottom]
    type = DirichletBC
    variable = u
    boundary = 'leftbottom rightbottom'
    value = 0
  [../]
[]

[Executioner]
  type = Transient
  num_steps = 3
  solve_type = PJFNK
  petsc_options_iname = '-pc_type -pc_hypre_type'
  petsc_options_value = 'hypre boomeramg'
  num_grids = 2
[]

[Outputs]
  exodus = true
[]

[Postprocessors]
  [num_nl]
    type = NumNonlinearIterations
  []
  [total_nl]
    type = CumulativeValuePostprocessor
    postprocessor = num_nl
  []
[]

(modules/solid_mechanics/test/tests/beam/fric_constraint/2_block_common_cross.i)

# Test for LineElementAction on multiple blocks by placing parameters
# common to all blocks outside of the individual action blocks

# 2 beams of length 1m are fixed at one end and a force of 1e-4 N
# is applied at the other end of the beams. Beam 1 is in block 1
# and beam 2 is in block 2. All the material properties for the two
# beams are identical. The moment of inertia of beam 2 is twice that
# of beam 1.

# Since the end displacement of a cantilever beam is inversely proportional
# to the moment of inertia, the y displacement at the end of beam 1 should be twice
# that of beam 2.

[Mesh]
  type = FileMesh
  file = test_fric_cross.e
  #displacements = 'disp_x disp_y disp_z'
[]

[BCs]
  [./fixx1]
    type = DirichletBC
    variable = disp_x
    boundary = '1 2 3'
    value = 0.0
  [../]
  [./fixy1]
    type = DirichletBC
    variable = disp_y
    boundary = '1 2 3'
    value = 0.0
  [../]
  [./fixz1]
    type = DirichletBC
    variable = disp_z
    boundary = '1 3'
    value = 0.0
  [../]
  [./fixr1]
    type = DirichletBC
    variable = rot_x
    boundary = '1 2 3'
    value = 0.0
  [../]
  [./fixr2]
    type = DirichletBC
    variable = rot_y
    boundary = '1 2 3'
    value = 0.0
  [../]
  [./fixr3]
    type = DirichletBC
    variable = rot_z
    boundary = '1 2 3'
    value = 0.0
  [../]
  [./move_z4]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 2
    function = pull
  [../]
[]

[Functions]
  [./pull]
    type = PiecewiseLinear
    x = '0.0 1.0 2.0  3.0  4.0  5.0  6.0  7.0   8.0  9.0 10.0 11.0 12.0 13.0'
    y = '0.0 0.0 -0.2 -0.4 -0.6 -0.8 -0.6 -0.4 -0.2  0.0 0.2 0.4  0.6 0.8'
  [../]
[]

[Preconditioning]
  [./smp]
    type = SMP
    full = true
  [../]
[]

[Executioner]
  type = Transient
  solve_type = NEWTON
  line_search = 'none'
  nl_max_its = 15
  nl_rel_tol = 1e-10
  nl_abs_tol = 5e-5
  l_max_its = 10

  dt = 1
  dtmin = 1
  end_time = 13
[]

[Physics/SolidMechanics/LineElement/QuasiStatic]
  # parameters common to all blocks

  add_variables = true
  displacements = 'disp_x disp_y disp_z'
  rotations = 'rot_x rot_y rot_z'

  # Geometry parameters
  area = 0.5
  y_orientation = '0.0 1.0 0.0'

  [./block_1]
    Iy = 1e-5
    Iz = 1e-5
    block = 1
  [../]
  [./block_2]
    Iy = 8e-4
    Iz = 8e-4
    block = '2 3'
  [../]
[]

[Materials]
  [./stress]
    type = ComputeBeamResultants
    block = '1 2 3'
  [../]
  [./elasticity_1]
    type = ComputeElasticityBeam
    youngs_modulus = 2.0
    poissons_ratio = 0.3
    shear_coefficient = 1.0
    block = '1 2 3'
  [../]
[]

[Constraints]
  [./tie_z]
    type = NodalFrictionalConstraint
    normal_force = 0.006
    tangential_penalty = 100
    friction_coefficient = 0.5
    boundary = 6
    secondary = 4
    variable = disp_z
  [../]
  [./tie_z2]
    type = NodalFrictionalConstraint
    normal_force = 0.006
    tangential_penalty = 100
    friction_coefficient = 0.2
    boundary = 6
    secondary = 5
    variable = disp_z
  [../]
[]

[Postprocessors]
  [./disp_x_1]
    type = NodalVariableValue
    nodeid = 1
    variable = disp_x
  [../]
  [./disp_x_2]
    type = NodalVariableValue
    nodeid = 2
    variable = disp_x
  [../]
  [./disp_z_1]
    type = NodalVariableValue
    nodeid = 1
    variable = disp_z
  [../]
  [./disp_z_2]
    type = NodalVariableValue
    nodeid = 2
    variable = disp_z
  [../]
[]

[Outputs]
  #file_base = '2_block_out'
  exodus = true
[]

(modules/solid_mechanics/test/tests/mohr_coulomb/except1.i)

# checking for exception error messages
[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]


[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
[]

[Kernels]
  [SolidMechanics]
    displacements = 'disp_x disp_y disp_z'
  [../]
[]


[BCs]
  [./x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'front back'
    function = '1E-6*x'
  [../]
  [./y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'front back'
    function = '1E-6*y'
  [../]
  [./z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'front back'
    function = '1E-6*z'
  [../]
[]

[AuxVariables]
  [./stress_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]

[AuxKernels]
  [./stress_xx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xx
    index_i = 0
    index_j = 0
  [../]
  [./stress_xy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xy
    index_i = 0
    index_j = 1
  [../]
  [./stress_xz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xz
    index_i = 0
    index_j = 2
  [../]
  [./stress_yy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yy
    index_i = 1
    index_j = 1
  [../]
  [./stress_yz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yz
    index_i = 1
    index_j = 2
  [../]
  [./stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zz
    index_i = 2
    index_j = 2
  [../]
[]

[Postprocessors]
  [./s_xx]
    type = PointValue
    point = '0 0 0'
    variable = stress_xx
  [../]
  [./s_xy]
    type = PointValue
    point = '0 0 0'
    variable = stress_xy
  [../]
  [./s_xz]
    type = PointValue
    point = '0 0 0'
    variable = stress_xz
  [../]
  [./s_yy]
    type = PointValue
    point = '0 0 0'
    variable = stress_yy
  [../]
  [./s_yz]
    type = PointValue
    point = '0 0 0'
    variable = stress_yz
  [../]
  [./s_zz]
    type = PointValue
    point = '0 0 0'
    variable = stress_zz
  [../]
[]

[UserObjects]
  [./mc_coh]
    type = SolidMechanicsHardeningConstant
    value = 10
  [../]
  [./mc_phi]
    type = SolidMechanicsHardeningConstant
    value = 30
    convert_to_radians = true
  [../]
  [./mc_psi]
    type = SolidMechanicsHardeningConstant
    value = 45
    convert_to_radians = true
  [../]
  [./mc]
    type = SolidMechanicsPlasticMohrCoulomb
    cohesion = mc_coh
    friction_angle = mc_phi
    dilation_angle = mc_psi
    mc_tip_smoother = 1
    mc_edge_smoother = 25
    yield_function_tolerance = 1E-3
    internal_constraint_tolerance = 1E-9
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    block = 0
    fill_method = symmetric_isotropic
    C_ijkl = '0 1E7'
  [../]
  [./strain]
    type = ComputeFiniteStrain
    block = 0
    displacements = 'disp_x disp_y disp_z'
  [../]
  [./mc]
    type = ComputeMultiPlasticityStress
    block = 0
    ep_plastic_tolerance = 1E-9
    plastic_models = mc
    debug_fspb = crash
    debug_jac_at_stress = '10 0 0 0 10 0 0 0 10'
    debug_jac_at_pm = 1
    debug_jac_at_intnl = 1
    debug_stress_change = 1E-5
    debug_pm_change = 1E-6
    debug_intnl_change = 1E-6
  [../]
[]


[Executioner]
  end_time = 1
  dt = 1
  type = Transient
[]


[Outputs]
  file_base = except1
  exodus = false
  [./csv]
    type = CSV
    [../]
[]

(test/tests/variables/fe_monomial_const/monomial-const-3d.i)

[Mesh]
  type = GeneratedMesh
  dim = 3
  xmin = -1
  xmax = 1
  ymin = -1
  ymax = 1
  zmin = -1
  zmax = 1
  nx = 21
  ny = 21
  nz = 21
  elem_type = HEX8
[]

[Functions]
  [./bc_fn]
    type=ParsedFunction
    expression=0
  [../]
  [./bc_fnt]
    type = ParsedFunction
    expression = 0
  [../]
  [./bc_fnb]
    type = ParsedFunction
    expression = 0
  [../]
  [./bc_fnl]
    type = ParsedFunction
    expression = 0
  [../]
  [./bc_fnr]
    type = ParsedFunction
    expression = 0
  [../]

  [./forcing_fn]
#    type = ParsedFunction
#    expression = 0
    type = MTPiecewiseConst3D
  [../]

  [./solution]
    type = MTPiecewiseConst3D
  [../]
[]

[Variables]
  [./u]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]

[Kernels]
  active = 'diff forcing reaction'
  [./diff]
    type = Diffusion
    variable = u
  [../]

  [./reaction]
    type = Reaction
    variable = u
  [../]

  [./forcing]
    type = BodyForce
    variable = u
    function = forcing_fn
  [../]
[]

[BCs]
  # Note: MOOSE's DirichletBCs do not work properly with shape functions that do not
  #       have DOFs at the element edges.  This test works because the solution
  #       has been designed to be zero at the boundary which is satisfied by the IC
  #       Ticket #1352
  active = ''
  [./bc_all]
    type=FunctionDirichletBC
    variable = u
    boundary = 'top bottom left right'
    function = bc_fn
  [../]
  [./bc_top]
    type = FunctionNeumannBC
    variable = u
    boundary = 'top'
    function = bc_fnt
  [../]
  [./bc_bottom]
    type = FunctionNeumannBC
    variable = u
    boundary = 'bottom'
    function = bc_fnb
  [../]
  [./bc_left]
    type = FunctionNeumannBC
    variable = u
    boundary = 'left'
    function = bc_fnl
  [../]
  [./bc_right]
    type = FunctionNeumannBC
    variable = u
    boundary = 'right'
    function = bc_fnr
  [../]
[]

[Postprocessors]
  [./dofs]
    type = NumDOFs
  [../]

  [./h]
    type = AverageElementSize
  [../]

  [./L2error]
    type = ElementL2Error
    variable = u
    function = solution
  [../]
  [./H1error]
    type = ElementH1Error
    variable = u
    function = solution
  [../]
  [./H1Semierror]
    type = ElementH1SemiError
    variable = u
    function = solution
  [../]
[]

[Executioner]
  type = Steady

  solve_type = 'PJFNK'
  nl_rel_tol = 1.e-9
  [./Adaptivity]

  [../]
[]

[Outputs]
  execute_on = 'timestep_end'
  [./out]
    type = Exodus
    elemental_as_nodal = true
  [../]
[]

(modules/contact/test/tests/hertz_spherical/hertz_contact_hex20.i)

# Hertz Contact: Sphere on sphere

# Spheres have the same radius, Young's modulus, and Poisson's ratio.

# Define E:
# 1/E = (1-nu1^2)/E1 + (1-nu2^2)/E2
#
# Effective radius R:
# 1/R = 1/R1 + 1/R2
#
# F is the applied compressive load.
#
# Area of contact a::
# a^3 = 3FR/4E
#
# Depth of indentation d:
# d = a^2/R
#
#
# Let R1 = R2 = 2.  Then R = 1.
#
# Let nu1 = nu2 = 0.25, E1 = E2 = 1.40625e7.  Then E = 7.5e6.
#
# Let F = 10000.  Then a = 0.1, d = 0.01.
#

[GlobalParams]
  volumetric_locking_correction = false
  displacements = 'disp_x disp_y disp_z'
  order = SECOND
[]

[Mesh]#Comment
  file = hertz_contact_hex20.e
  allow_renumbering = false
[] # Mesh

[Problem]
  type = ReferenceResidualProblem
  extra_tag_vectors = 'ref'
  reference_vector = 'ref'
[]

[Functions]
  [./pressure]
    type = PiecewiseLinear
    x = '0. 1. 2.'
    y = '0. 1. 1.'
    scale_factor = 795.77471545947674 # 10000/pi/2^2
  [../]
  [./disp_y]
    type = PiecewiseLinear
    x = '0.  1.    2.'
    y = '0. -0.01 -0.01'
  [../]
[] # Functions

[Variables]

  [./disp_x]
    order = SECOND
    family = LAGRANGE
  [../]

  [./disp_y]
    order = SECOND
    family = LAGRANGE
  [../]

  [./disp_z]
    order = SECOND
    family = LAGRANGE
  [../]

[] # Variables

[AuxVariables]

  [./stress_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_zx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./vonmises]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./hydrostatic]
    order = CONSTANT
    family = MONOMIAL
  [../]

  [./saved_x]
  [../]
  [./saved_y]
  [../]
  [./saved_z]
  [../]

[] # AuxVariables

[Physics/SolidMechanics/QuasiStatic]
  [./all]
    add_variables = true
    strain = SMALL
    extra_vector_tags = 'ref'
    save_in = 'saved_x saved_y saved_z'
  [../]
[]
[AuxKernels]

  [./stress_xx]
    type = RankTwoAux
    rank_two_tensor = stress
    index_i = 0
    index_j = 0
    variable = stress_xx
  [../]
  [./stress_yy]
    type = RankTwoAux
    rank_two_tensor = stress
    index_i = 1
    index_j = 1
    variable = stress_yy
  [../]
  [./stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    index_i = 2
    index_j = 2
    variable = stress_zz
  [../]
  [./stress_xy]
    type = RankTwoAux
    rank_two_tensor = stress
    index_i = 0
    index_j = 1
    variable = stress_xy
  [../]
  [./stress_yz]
    type = RankTwoAux
    rank_two_tensor = stress
    index_i = 1
    index_j = 2
    variable = stress_yz
  [../]
  [./stress_zx]
    type = RankTwoAux
    rank_two_tensor = stress
    index_i = 2
    index_j = 0
    variable = stress_zx
  [../]
#  [./vonmises]
#    type = RankTwoScalarAux
#    rank_two_tensor = stress
#    variable = vonmises
#    scalar_type = VonMisesStress
#  [../]

[] # AuxKernels

[BCs]

  [./base_x]
    type = DirichletBC
    variable = disp_x
    boundary = 1000
    value = 0.0
  [../]
  [./base_y]
    type = DirichletBC
    variable = disp_y
    boundary = 1000
    value = 0.0
  [../]
  [./base_z]
    type = DirichletBC
    variable = disp_z
    boundary = 1000
    value = 0.0
  [../]

  [./symm_x]
    type = DirichletBC
    variable = disp_x
    boundary = 1
    value = 0.0
  [../]
  [./symm_z]
    type = DirichletBC
    variable = disp_z
    boundary = 3
    value = 0.0
  [../]
  [./disp_y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 2
    function = disp_y
  [../]

[] # BCs

[Contact]
  [./dummy_name]
    primary = 1000
    secondary = 100

    normalize_penalty = true
    tangential_tolerance = 1e-3
    penalty = 1e+10
  [../]
[]

#[Dampers]
#  [./contact_slip]
#    type = ContactSlipDamper
#    primary = 1000
#    secondary = 100
#  [../]
#[]

[Materials]
  [./tensor]
    type = ComputeIsotropicElasticityTensor
    block = '1'
    youngs_modulus = 1.40625e7
    poissons_ratio = 0.25
  [../]
  [./stress]
    type = ComputeLinearElasticStress
    block = '1'
  [../]

  [./tensor_1000]
    type = ComputeIsotropicElasticityTensor
    block = '1000'
    youngs_modulus = 1e6
    poissons_ratio = 0.0
  [../]
  [./stress_1000]
    type = ComputeLinearElasticStress
    block = '1000'
  [../]

[] # Materials

[Preconditioning]
  [./SMP]
    type = SMP
    full = true
  []
[]

[Executioner]

  type = Transient

  solve_type = 'PJFNK'

  petsc_options_iname = '-pc_type -pc_factor_mat_solver_type'
  petsc_options_value = 'lu     superlu_dist'

  line_search = 'none'


  nl_abs_tol = 1e-7

  l_max_its = 10

  start_time = 0.0
  dt = 0.05
  end_time = 2.0

  [./Quadrature]
    order = THIRD
  [../]

[] # Executioner

[Postprocessors]
  [./maxdisp]
    type = NodalVariableValue
    nodeid = 386 # 387-1 where 387 is the exodus node number of the top-center node
    variable = disp_y
  [../]
  [./bot_react_x]
    type = NodalSum
    variable = saved_x
    boundary = 2
  [../]
  [./bot_react_y]
    type = NodalSum
    variable = saved_y
    boundary = 2
  [../]

  [./bot_react_z]
    type = NodalSum
    variable = saved_z
    boundary = 2
  [../]

[]

[Outputs]
  [./out]
    type = Exodus
    elemental_as_nodal = true
  [../]
[] # Outputs

(modules/xfem/test/tests/moving_interface/verification/2D_xy_lsdep1mat.i)

# ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ #
# XFEM Moving Interface Verification Problem
# Dimensionality:                                         2D
# Coordinate System:                                      xy
# Material Numbers/Types: level set dep 1 material, 2 region
# Element Order:                                         1st
# Interface Characteristics: u independent, prescribed level set function
# Description:
#   Transient 2D heat transfer problem in Cartesian coordinates designed with
#   the Method of Manufactured Solutions. This problem was developed to verify
#   XFEM performance on linear elements in the presence of a moving interface
#   sweeping across the x-y coordinates of a system with thermal conductivity
#   dependent upon the transient level set function. This problem can be
#   exactly evaluated by FEM/Moose without the moving interface. Both the
#   temperature and level set function are designed to be linear to attempt to
#   minimize the error between the Moose/exact solution and XFEM results.
# Results:
#   The temperature at the bottom left boundary (x=0, y=0) exhibits the largest
#   difference between the FEM/Moose solution and XFEM results. We present the
#   XFEM results at this location with 10 digits of precision:
#     Time   Expected Temperature   XFEM Calculated Temperature
#      0.2                 440        440
#      0.4                 480        479.9998738
#      0.6                 520        519.9995114
#      0.8                 560        559.9989360
#      1.0                 600        599.9983833
# ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ #

[GlobalParams]
  order = FIRST
  family = LAGRANGE
[]

[Mesh]
  type = GeneratedMesh
  dim = 2
  nx = 4
  ny = 4
  xmin = 0.0
  xmax = 1.0
  ymin = 0.0
  ymax = 1.0
  elem_type = QUAD4
[]

[XFEM]
  qrule = moment_fitting
  output_cut_plane = true
[]

[UserObjects]
  [./level_set_cut_uo]
    type = LevelSetCutUserObject
    level_set_var = ls
    heal_always = true
  [../]
[]

[Variables]
  [./u]
  [../]
[]

[AuxVariables]
  [./ls]
    order = FIRST
    family = LAGRANGE
  [../]
[]

[Kernels]
  [./heat_cond]
    type = MatDiffusion
    variable = u
    diffusivity = diffusion_coefficient
  [../]
  [./vol_heat_src]
    type = BodyForce
    variable = u
    function = src_func
  [../]
  [./mat_time_deriv]
    type = TestMatTimeDerivative
    variable = u
    mat_prop_value = rhoCp
  [../]
[]

[AuxKernels]
  [./ls_function]
    type = FunctionAux
    variable = ls
    function = ls_func
  [../]
[]

[Constraints]
  [./xfem_constraints]
    type = XFEMSingleVariableConstraint
    variable = u
    geometric_cut_userobject = 'level_set_cut_uo'
    use_penalty = true
    alpha = 1e5
  [../]
[]

[Functions]
  [./src_func]
    type = ParsedFunction
    expression = '10*(-100*x-100*y+200)-(5*t/1.04)'
  [../]
  [./neumann_func]
    type = ParsedFunction
    expression = '((0.01/1.04)*(-2.5*x-2.5*y-t)+1.55)*100*t'
  [../]
  [./dirichlet_right_func]
    type = ParsedFunction
    expression = '(-100*y+100)*t+400'
  [../]
  [./dirichlet_top_func]
    type = ParsedFunction
    expression = '(-100*x+100)*t+400'
  [../]
  [./k_func]
    type = ParsedFunction
    expression = '(0.01/1.04)*(-2.5*x-2.5*y-t)+1.55'
  [../]
  [./ls_func]
    type = ParsedFunction
    expression = '-0.5*(x+y) + 1.04 -0.2*t'
  [../]
[]

[Materials]
  [./mat_time_deriv_prop]
    type = GenericConstantMaterial
    prop_names = 'rhoCp'
    prop_values = 10
  [../]
  [./therm_cond_prop]
    type = GenericFunctionMaterial
    prop_names = 'diffusion_coefficient'
    prop_values = 'k_func'
  [../]
[]

[BCs]
  [./left_du]
    type = FunctionNeumannBC
    variable = u
    boundary = 'left'
    function = neumann_func
  [../]
  [./right_u]
    type = FunctionDirichletBC
    variable = u
    boundary = 'right'
    function = dirichlet_right_func
  [../]
  [./bottom_du]
    type = FunctionNeumannBC
    variable = u
    boundary = 'bottom'
    function = neumann_func
  [../]
  [./top_u]
    type = FunctionDirichletBC
    variable = u
    boundary = 'top'
    function = dirichlet_top_func
  [../]
[]

[ICs]
  [./u_ic]
    type = ConstantIC
    value = 400
    variable = u
  [../]
[]

[Executioner]
  type = Transient
  solve_type = 'PJFNK'
  line_search = 'none'

  l_tol = 1.0e-6
  nl_max_its = 15
  nl_rel_tol = 1.0e-10
  nl_abs_tol = 1.0e-9

  start_time = 0.0
  dt = 0.2
  end_time = 1.0
  max_xfem_update = 1
[]

[Outputs]
  time_step_interval = 1
  execute_on = 'initial timestep_end'
  exodus = true
  [./console]
    type = Console
    output_linear = true
  [../]
[]

(modules/solid_mechanics/test/tests/strain_energy_density/rate_model_small.i)

# Single element test to check the strain energy density calculation

[GlobalParams]
  displacements = 'disp_x disp_y'
  volumetric_locking_correction = true
[]

[Mesh]
  type = GeneratedMesh
  dim = 2
  nx = 1
  ny = 1
  xmin = 0
  xmax = 1
  ymin = 0
  ymax = 2
[]

[AuxVariables]
  [./SERD]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]

[Functions]
  [./rampConstantUp]
    type = PiecewiseLinear
    x = '0. 1.'
    y = '0. 1.'
    scale_factor = -100
  [../]
  [./ramp_disp_y]
    type = PiecewiseLinear
    x = '0. 1. 2.'
    y = '0. 6.8e-6 1.36e-5'
  [../]
[]

[Physics/SolidMechanics/QuasiStatic]
  [./master]
    strain = SMALL
    add_variables = true
    incremental = true
    generate_output = 'stress_xx stress_yy stress_zz vonmises_stress elastic_strain_xx elastic_strain_yy elastic_strain_zz strain_xx strain_yy strain_zz'
    planar_formulation = PLANE_STRAIN
  [../]
[]

[AuxKernels]
  [./SERD]
    type = MaterialRealAux
    variable = SERD
    property = strain_energy_rate_density
    execute_on = timestep_end
  [../]
[]

[BCs]
  [./no_x]
    type = DirichletBC
    variable = disp_x
    preset = false
    boundary = 'left'
    value = 0.0
  [../]
  [./no_y]
    type = DirichletBC
    variable = disp_y
    preset = false
    boundary = 'bottom'
    value = 0.0
  [../]
  [./top_disp]
    type = FunctionDirichletBC
    variable = disp_y
    preset = false
    boundary = 'top'
    function = ramp_disp_y
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeIsotropicElasticityTensor
    youngs_modulus = 206800
    poissons_ratio = 0.0
  [../]
  [./radial_return_stress]
    type = ComputeMultipleInelasticStress
    inelastic_models = 'powerlawcrp'
  [../]
  [./powerlawcrp]
    type = PowerLawCreepStressUpdate
    coefficient = 3.125e-21 # 7.04e-17 #
    n_exponent = 4.0
    m_exponent = 0.0
    activation_energy = 0.0
    # max_inelastic_increment = 0.01
  [../]
  [./strain_energy_rate_density]
    type = StrainEnergyRateDensity
    inelastic_models = 'powerlawcrp'
  [../]
[]

[Executioner]
   type = Transient

  petsc_options_iname = '-ksp_gmres_restart -pc_type -pc_hypre_type -pc_hypre_boomeramg_max_iter'
  petsc_options_value = '201                hypre    boomeramg      4'

  line_search = 'none'

   l_max_its = 50
   nl_max_its = 20
   nl_abs_tol = 3e-7
   nl_rel_tol = 1e-12
   l_tol = 1e-2

   start_time = 0.0
   dt = 1

   end_time = 2
   num_steps = 2
[]

[Postprocessors]
  [./etxx]
    type = ElementalVariableValue
    variable = strain_xx
    elementid = 0
  [../]
  [./etyy]
    type = ElementalVariableValue
    variable = strain_yy
    elementid = 0
  [../]
  [./etzz]
    type = ElementalVariableValue
    variable = strain_zz
    elementid = 0
  [../]
  [./sigxx]
    type = ElementAverageValue
    variable = stress_xx
  [../]
  [./sigyy]
    type = ElementAverageValue
    variable = stress_yy
  [../]
  [./sigzz]
    type = ElementAverageValue
    variable = stress_zz
  [../]
  [./SERD]
    type = ElementAverageValue
    variable = SERD
  [../]
[]

[Outputs]
  csv = true
[]

(modules/solid_mechanics/test/tests/central_difference/consistent/3D/3d_consistent_explicit.i)

# One element test to test the central difference time integrator in 3D.

[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 2
  xmin = 0.0
  xmax = 1
  ymin = 0.0
  ymax = 1
  zmin = 0.0
  zmax = 2
[]

[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
[]

[AuxVariables]
  [./vel_x]
  [../]
  [./accel_x]
  [../]
  [./vel_y]
  [../]
  [./accel_y]
  [../]
  [./vel_z]
  [../]
  [./accel_z]
  [../]
[]

[AuxKernels]
  [./accel_x]
    type = TestNewmarkTI
    variable = accel_x
    displacement = disp_x
    first = false
  [../]
  [./vel_x]
    type = TestNewmarkTI
    variable = vel_x
    displacement = disp_x
  [../]
  [./accel_y]
    type = TestNewmarkTI
    variable = accel_y
    displacement = disp_y
    first = false
  [../]
  [./vel_y]
    type = TestNewmarkTI
    variable = vel_y
    displacement = disp_x
  [../]
  [./accel_z]
    type = TestNewmarkTI
    variable = accel_z
    displacement = disp_z
    first = false
  [../]
  [./vel_z]
    type = TestNewmarkTI
    variable = vel_z
    displacement = disp_z
  [../]
[]

[Kernels]
  [./DynamicSolidMechanics]
    displacements = 'disp_x disp_y disp_z'
  [../]
  [./inertia_x]
    type = InertialForce
    variable = disp_x
  [../]
  [./inertia_y]
    type = InertialForce
    variable = disp_y
  [../]
  [./inertia_z]
    type = InertialForce
    variable = disp_z
  [../]
[]

[BCs]
  [./x_bot]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'back'
    function = dispx
    preset = false
  [../]
  [./y_bot]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'back'
    function = dispy
    preset = false
  [../]
  [./z_bot]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'back'
    function = dispz
    preset = false
  [../]
  [./Periodic]
    [./x_dir]
      variable = 'disp_x disp_y disp_z'
      primary = 'left'
      secondary = 'right'
      translation = '1.0 0.0 0.0'
    [../]
    [./y_dir]
      variable = 'disp_x disp_y disp_z'
      primary = 'bottom'
      secondary = 'top'
      translation = '0.0 1.0 0.0'
    [../]
  [../]
[]

[Functions]
  [./dispx]
    type = PiecewiseLinear
    x = '0.0 1.0 2.0 3.0 4.0' # time
    y = '0.0 1.0 0.0 -1.0 0.0'  # displacement
  [../]
  [./dispy]
    type = ParsedFunction
    expression = 0.1*t*t*sin(10*t)
  [../]
  [./dispz]
    type = ParsedFunction
    expression = 0.1*t*t*sin(20*t)
  [../]
[]

[Materials]
  [./elasticity_tensor_block]
    type = ComputeIsotropicElasticityTensor
    youngs_modulus = 1e6
    poissons_ratio = 0.25
    block = 0
  [../]
  [./strain_block]
    type = ComputeIncrementalStrain
    block = 0
    displacements = 'disp_x disp_y disp_z'
    implicit = false
  [../]
  [./stress_block]
    type = ComputeFiniteStrainElasticStress
    block = 0
  [../]
  [./density]
    type = GenericConstantMaterial
    block = 0
    prop_names = density
    prop_values = 1e4
  [../]
[]

[Executioner]
  type = Transient
  start_time = -0.01
  end_time = 0.1
  dt = 0.005
  timestep_tolerance = 1e-6
  [./TimeIntegrator]
    type = CentralDifference
  [../]
[]

[Postprocessors]
  [./accel_6x]
    type = NodalVariableValue
    nodeid = 6
    variable = accel_x
  [../]
[]

[Outputs]
  exodus = false
  csv = true
[]

(modules/combined/test/tests/evolving_mass_density/expand_compress_test_tensors.i)

#  Element mass tests

#  This series of tests is designed to compute the mass of elements based on
#  an evolving mass density calculation.  The tests consist of expansion and compression
#  of the elastic patch test model along each axis, uniform expansion and compression,
#  and shear in each direction.  The expansion and compression tests change the volume of
#  the elements.  The corresponding change in density should compensate for this so the
#  mass remains constant.  The shear tests should not result in a volume change, and this
#  is checked too.  The mass calculation is done with the post processor called Mass.

#  The tests/file names are as follows:

#  Expansion and compression along a single axis
#  expand_compress_x_test_out.e
#  expand_compress_y_test_out.e
#  expand_compress_z_test_out.e

#  Volumetric expansion and compression
#  uniform_expand_compress_test.i

#  Zero volume change shear along each axis
#  shear_x_test_out.e
#  shear_y_test_out.e
#  shear_z_test_out.e

#  The resulting mass calculation for these tests should always be = 1.

# This test is a duplicate of the uniform_expand_compress_test.i test for solid mechanics, and the
#   output of this tensor mechanics test is compared to the original
#   solid mechanics output.  The duplication is necessary to test the
#   migrated tensor mechanics version while maintaining tests for solid mechanics.

[Mesh]
  file = elastic_patch.e
[]

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
  order = FIRST
  family = LAGRANGE
[]

[Functions]
  [./rampConstant1]
    type = PiecewiseLinear
    x = '0.00 1.00  2.0   3.00'
    y = '0.00 0.25  0.0  -0.25'
    scale_factor = 1
  [../]
[] # Functions

[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
[]

[Kernels]
  [./TensorMechanics]
  [../]
[]

[BCs]
  [./bot_x]
    type = DirichletBC
    variable = disp_x
    value = 0.0
  [../]
  [./bot_y]
    type = DirichletBC
    variable = disp_y
    value = 0
  [../]
  [./bot_z]
    type = DirichletBC
    variable = disp_z
    value = 0
  [../]
  [./top]
    type = FunctionDirichletBC
    preset = false
    function = rampConstant1
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeIsotropicElasticityTensor
    block = '1 2 3 4 5 6 7'
    youngs_modulus = 1e6
    poissons_ratio = 0.0
  [../]

  [./small_strain]
    type = ComputeSmallStrain
    block = ' 1 2 3 4 5 6 7'
  [../]

  [./elastic_stress]
    type = ComputeLinearElasticStress
    block = '1 2 3 4 5 6 7'
  [../]
[]

[Executioner]

  type = Transient

  #Preconditioned JFNK (default)
  solve_type = 'PJFNK'

  nl_abs_tol = 1e-10
  l_max_its = 20
  start_time = 0.0
  dt = 1.0
  num_steps = 3
  end_time = 3.0
[]

[Outputs]
  [./out]
    type = Exodus
    elemental_as_nodal = true
  [../]
[]

[Postprocessors]
  [./Mass]
    type = Mass
    variable = disp_x
    execute_on = 'initial timestep_end'
  [../]
[]

(modules/contact/test/tests/frictional/single_point_2d/single_point_2d_predictor.i)

[Mesh]
  file = single_point_2d.e
[]

[GlobalParams]
  displacements = 'disp_x disp_y'
  volumetric_locking_correction = false
[]

[AuxVariables]
  [./penetration]
  [../]
  [./saved_x]
  [../]
  [./saved_y]
  [../]
  [./diag_saved_x]
  [../]
  [./diag_saved_y]
  [../]
  [./inc_slip_x]
  [../]
  [./inc_slip_y]
  [../]
  [./accum_slip_x]
  [../]
  [./accum_slip_y]
  [../]
[]

[Functions]
  [./horizontal_movement]
    type = ParsedFunction
    expression = t
  [../]
[]

[Physics/SolidMechanics/QuasiStatic]
  [./all]
    add_variables = true
    strain = FINITE
    save_in = 'saved_x saved_y'
    diag_save_in = 'diag_saved_x diag_saved_y'
  [../]
[]

[AuxKernels]
  [./incslip_x]
    type = PenetrationAux
    variable = inc_slip_x
    quantity = incremental_slip_x
    boundary = 3
    paired_boundary = 2
  [../]
  [./incslip_y]
    type = PenetrationAux
    variable = inc_slip_y
    quantity = incremental_slip_y
    boundary = 3
    paired_boundary = 2
  [../]
  [./accum_slip_x]
    type = AccumulateAux
    variable = accum_slip_x
    accumulate_from_variable = inc_slip_x
    execute_on = timestep_end
  [../]
  [./accum_slip_y]
    type = AccumulateAux
    variable = accum_slip_y
    accumulate_from_variable = inc_slip_y
    execute_on = timestep_end
  [../]
  [./penetration]
    type = PenetrationAux
    variable = penetration
    boundary = 3
    paired_boundary = 2
  [../]
[]

[BCs]
  [./botx]
    type = DirichletBC
    variable = disp_x
    boundary = 1
    value = 0.0
  [../]
  [./boty]
    type = DirichletBC
    variable = disp_y
    boundary = 1
    value = 0.0
  [../]
  [./botx2]
    type = DirichletBC
    variable = disp_x
    boundary = 2
    value = 0.0
  [../]
  [./boty2]
    type = DirichletBC
    variable = disp_y
    boundary = 2
    value = 0.0
  [../]
  [./topx]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 4
    function = horizontal_movement
  [../]
  [./topy]
    type = DirichletBC
    variable = disp_y
    boundary = 4
    value = -0.005
  [../]
[]

[Materials]
  [./bottom]
    type = ComputeIsotropicElasticityTensor
    block = '1'
    youngs_modulus = 1.0e9
    poissons_ratio = 0.3
  [../]
  [./stress]
    type = ComputeFiniteStrainElasticStress
    block = '1 2'
  [../]
  [./top]
    type = ComputeIsotropicElasticityTensor
    block = '2'
    youngs_modulus = 1.0e6
    poissons_ratio = 0.3
  [../]
[]

[Postprocessors]
  [./bot_react_x]
    type = NodalSum
    variable = saved_x
    boundary = 1
  [../]
  [./bot_react_y]
    type = NodalSum
    variable = saved_y
    boundary = 1
  [../]
  [./top_react_x]
    type = NodalSum
    variable = saved_x
    boundary = 4
  [../]
  [./top_react_y]
    type = NodalSum
    variable = saved_y
    boundary = 4
  [../]
  [./ref_resid_x]
    type = NodalL2Norm
    execute_on = timestep_end
    variable = saved_x
  [../]
  [./ref_resid_y]
    type = NodalL2Norm
    execute_on = timestep_end
    variable = saved_y
  [../]
[]

[Executioner]
  type = Transient
  solve_type = 'PJFNK'

  petsc_options_iname = '-pc_type -pc_factor_mat_solver_type'
  petsc_options_value = 'lu    superlu_dist'

  line_search = 'none'

  l_max_its = 100
  nl_max_its = 200
  dt = 0.001
  end_time = 0.01
  num_steps = 1000
  nl_rel_tol = 1e-8
  nl_abs_tol = 1e-8
  dtmin = 0.001
  l_tol = 1e-3

  [./Predictor]
    type = SimplePredictor
    scale = 1.0
  [../]
[]

[Outputs]
  exodus = true
  print_linear_residuals = true
  perf_graph = true
  [./console]
    type = Console
    max_rows = 5
  [../]
[]

[Contact]
  [./leftright]
    primary = 2
    secondary = 3
    model = coulomb
    friction_coefficient = '0.25'
  [../]
[]

[Dampers]
  [./contact_slip]
    type = ContactSlipDamper
    primary = '2'
    secondary = '3'
  [../]
[]

(modules/solid_mechanics/test/tests/thermal_expansion/ad_constant_expansion_coeff_old.i)

# This test involves only thermal expansion strains on a 2x2x2 cube of approximate
# steel material.  An initial temperature of 25 degrees C is given for the material,
# and an auxkernel is used to calculate the temperature in the entire cube to
# raise the temperature each time step.  After the first timestep,in which the
# temperature jumps, the temperature increases by 6.25C each timestep.
# The thermal strain increment should therefore be
#     6.25 C * 1.3e-5 1/C = 8.125e-5 m/m.

# This test is also designed to be used to identify problems with restart files

[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 2
  ny = 2
  nz = 2
[]

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]

[Variables]
  [./temp]
  [../]
[]

[Functions]
  [./temperature_load]
    type = ParsedFunction
    expression = t*(500.0)+300.0
  [../]
[]

[Physics]
  [SolidMechanics]
    [QuasiStatic]
      [./all]
        strain = SMALL
        incremental = true
        add_variables = true
        eigenstrain_names = eigenstrain
        generate_output = 'strain_xx strain_yy strain_zz'
        use_automatic_differentiation = true
      [../]
    [../]
  [../]
[]

[Kernels]
  [./tempfuncaux]
    type = Diffusion
    variable = temp
  [../]
[]

[BCs]
  [./x_bot]
    type = DirichletBC
    variable = disp_x
    boundary = left
    value = 0.0
  [../]
  [./y_bot]
    type = DirichletBC
    variable = disp_y
    boundary = bottom
    value = 0.0
  [../]
  [./z_bot]
    type = DirichletBC
    variable = disp_z
    boundary = back
    value = 0.0
  [../]
  [./temp]
    type = FunctionDirichletBC
    variable = temp
    function = temperature_load
    boundary = 'left right'
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ADComputeIsotropicElasticityTensor
    youngs_modulus = 2.1e5
    poissons_ratio = 0.3
  [../]
  [./small_stress]
    type = ADComputeFiniteStrainElasticStress
  [../]
  [./thermal_expansion_strain]
    type = ADComputeThermalExpansionEigenstrain
    stress_free_temperature = 298
    thermal_expansion_coeff = 1.3e-5
    temperature = temp
    eigenstrain_name = eigenstrain
    use_old_temperature = true
  [../]
[]

[Preconditioning]
  [./smp]
    type = SMP
    full = true
  [../]
[]

[Executioner]
  type = Transient
  solve_type = 'NEWTON'

  l_max_its = 50
  nl_max_its = 50
  nl_rel_tol = 1e-12
  nl_abs_tol = 1e-10
  l_tol = 1e-9

  start_time = 0.0
  end_time = 0.075
  dt = 0.0125
  dtmin = 0.0001
[]

[Outputs]
  exodus = true
[]

[Postprocessors]
  [./strain_xx]
    type = ElementAverageValue
    variable = strain_xx
  [../]
  [./strain_yy]
    type = ElementAverageValue
    variable = strain_yy
  [../]
  [./strain_zz]
    type = ElementAverageValue
    variable = strain_zz
  [../]
  [./temperature]
    type = AverageNodalVariableValue
    variable = temp
  [../]
[]

(modules/solid_mechanics/test/tests/capped_weak_plane/pull_and_shear.i)

# Dynamic problem with plasticity.
# A column of material (not subject to gravity) has the z-displacement
# of its sides fixed, but the centre of its bottom side is pulled
# downwards.  This causes failure in the bottom elements.
#
# The problem utilises damping in the following way.
# The DynamicStressDivergenceTensors forms the residual
# integral  grad(stress) + zeta*grad(stress-dot)
#     = V/L * elasticity * (du/dx + zeta * dv/dx)
# where V is the elemental volume, and L is the length-scale,
# and u is the displacement, and v is the velocity.
# The InertialForce forms the residual
# integral  density * (accel + eta * velocity)
#     = V * density * (a + eta * v)
# where a is the acceleration.
# So, a damped oscillator description with both these
# kernels looks like
# 0 = V * (density * a + density * eta * v + elasticity * zeta * v / L^2 + elasticity / L^2 * u)
# Critical damping is when the coefficient of v is
# 2 * sqrt(density * elasticity / L^2)
# In the case at hand, density=1E4, elasticity~1E10 (Young is 16GPa),
# L~1 to 10 (in the horizontal or vertical direction), so this coefficient ~ 1E7 to 1E6.
# Choosing eta = 1E3 and zeta = 1E-2 gives approximate critical damping.
# If zeta is high then steady-state is achieved very quickly.
#
# In the case of plasticity, the effective stiffness of the elements
# is significantly less.  Therefore, the above parameters give
# overdamping.
#
# This simulation is a nice example of the irreversable and non-uniqueness
# of simulations involving plasticity.  The result depends on the damping
# parameters and the time stepping.
[Mesh]
  [generated_mesh]
    type = GeneratedMeshGenerator
    dim = 3
    nx = 10
    ny = 1
    nz = 5
    bias_z = 1.5
    xmin = -10
    xmax = 10
    ymin = -10
    ymax = 10
    zmin = -100
    zmax = 0
  []
  [bottomz_middle]
    type = BoundingBoxNodeSetGenerator
    new_boundary = bottomz_middle
    bottom_left = '-1 -1500 -105'
    top_right = '1 1500 -95'
    input = generated_mesh
  []
[]

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
  beta = 0.25 # Newmark time integration
  gamma = 0.5 # Newmark time integration
  eta = 1E3 #0.3E4 # higher values mean more damping via density
[]

[Variables]
  [disp_x]
  []
  [disp_y]
  []
  [disp_z]
  []
[]

[Kernels]
  [DynamicSolidMechanics] # zeta*K*vel + K * disp
    stiffness_damping_coefficient = 1E-2 # higher values mean more damping via stiffness
    hht_alpha = 0 # better nonlinear convergence than for alpha>0
  []
  [inertia_x] # M*accel + eta*M*vel
    type = InertialForce
    use_displaced_mesh = false
    variable = disp_x
    velocity = vel_x
    acceleration = accel_x
  []
  [inertia_y]
    type = InertialForce
    use_displaced_mesh = false
    variable = disp_y
    velocity = vel_y
    acceleration = accel_y
  []
  [inertia_z]
    type = InertialForce
    use_displaced_mesh = false
    variable = disp_z
    velocity = vel_z
    acceleration = accel_z
  []
[]

[BCs]
  [no_x2]
    type = DirichletBC
    variable = disp_x
    boundary = right
    value = 0.0
  []
  [no_x1]
    type = DirichletBC
    variable = disp_x
    boundary = left
    value = 0.0
  []
  [no_y1]
    type = DirichletBC
    variable = disp_y
    boundary = bottom
    value = 0.0
  []
  [no_y2]
    type = DirichletBC
    variable = disp_y
    boundary = top
    value = 0.0
  []

  [z_fixed_sides_xmin]
    type = DirichletBC
    variable = disp_z
    boundary = left
    value = 0
  []
  [z_fixed_sides_xmax]
    type = DirichletBC
    variable = disp_z
    boundary = right
    value = 0
  []

  [bottomz]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = bottomz_middle
    function = max(-10*t,-10)
  []
[]

[AuxVariables]
  [accel_x]
  []
  [vel_x]
  []
  [accel_y]
  []
  [vel_y]
  []
  [accel_z]
  []
  [vel_z]
  []
  [stress_xx]
    order = CONSTANT
    family = MONOMIAL
  []
  [stress_xy]
    order = CONSTANT
    family = MONOMIAL
  []
  [stress_xz]
    order = CONSTANT
    family = MONOMIAL
  []
  [stress_yy]
    order = CONSTANT
    family = MONOMIAL
  []
  [stress_yz]
    order = CONSTANT
    family = MONOMIAL
  []
  [stress_zz]
    order = CONSTANT
    family = MONOMIAL
  []
  [strainp_xx]
    order = CONSTANT
    family = MONOMIAL
  []
  [strainp_xy]
    order = CONSTANT
    family = MONOMIAL
  []
  [strainp_xz]
    order = CONSTANT
    family = MONOMIAL
  []
  [strainp_yy]
    order = CONSTANT
    family = MONOMIAL
  []
  [strainp_yz]
    order = CONSTANT
    family = MONOMIAL
  []
  [strainp_zz]
    order = CONSTANT
    family = MONOMIAL
  []
  [straint_xx]
    order = CONSTANT
    family = MONOMIAL
  []
  [straint_xy]
    order = CONSTANT
    family = MONOMIAL
  []
  [straint_xz]
    order = CONSTANT
    family = MONOMIAL
  []
  [straint_yy]
    order = CONSTANT
    family = MONOMIAL
  []
  [straint_yz]
    order = CONSTANT
    family = MONOMIAL
  []
  [straint_zz]
    order = CONSTANT
    family = MONOMIAL
  []
  [f_shear]
    order = CONSTANT
    family = MONOMIAL
  []
  [f_tensile]
    order = CONSTANT
    family = MONOMIAL
  []
  [f_compressive]
    order = CONSTANT
    family = MONOMIAL
  []
  [intnl_shear]
    order = CONSTANT
    family = MONOMIAL
  []
  [intnl_tensile]
    order = CONSTANT
    family = MONOMIAL
  []
  [iter]
    order = CONSTANT
    family = MONOMIAL
  []
  [ls]
    order = CONSTANT
    family = MONOMIAL
  []
[]

[AuxKernels]
  [accel_x] # Calculates and stores acceleration at the end of time step
    type = NewmarkAccelAux
    variable = accel_x
    displacement = disp_x
    velocity = vel_x
    execute_on = timestep_end
  []
  [vel_x] # Calculates and stores velocity at the end of the time step
    type = NewmarkVelAux
    variable = vel_x
    acceleration = accel_x
    execute_on = timestep_end
  []
  [accel_y]
    type = NewmarkAccelAux
    variable = accel_y
    displacement = disp_y
    velocity = vel_y
    execute_on = timestep_end
  []
  [vel_y]
    type = NewmarkVelAux
    variable = vel_y
    acceleration = accel_y
    execute_on = timestep_end
  []
  [accel_z]
    type = NewmarkAccelAux
    variable = accel_z
    displacement = disp_z
    velocity = vel_z
    execute_on = timestep_end
  []
  [vel_z]
    type = NewmarkVelAux
    variable = vel_z
    acceleration = accel_z
    execute_on = timestep_end
  []
  [stress_xx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xx
    index_i = 0
    index_j = 0
  []
  [stress_xy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xy
    index_i = 0
    index_j = 1
  []
  [stress_xz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xz
    index_i = 0
    index_j = 2
  []
  [stress_yy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yy
    index_i = 1
    index_j = 1
  []
  [stress_yz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yz
    index_i = 1
    index_j = 2
  []
  [stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zz
    index_i = 2
    index_j = 2
  []
  [strainp_xx]
    type = RankTwoAux
    rank_two_tensor = plastic_strain
    variable = strainp_xx
    index_i = 0
    index_j = 0
  []
  [strainp_xy]
    type = RankTwoAux
    rank_two_tensor = plastic_strain
    variable = strainp_xy
    index_i = 0
    index_j = 1
  []
  [strainp_xz]
    type = RankTwoAux
    rank_two_tensor = plastic_strain
    variable = strainp_xz
    index_i = 0
    index_j = 2
  []
  [strainp_yy]
    type = RankTwoAux
    rank_two_tensor = plastic_strain
    variable = strainp_yy
    index_i = 1
    index_j = 1
  []
  [strainp_yz]
    type = RankTwoAux
    rank_two_tensor = plastic_strain
    variable = strainp_yz
    index_i = 1
    index_j = 2
  []
  [strainp_zz]
    type = RankTwoAux
    rank_two_tensor = plastic_strain
    variable = strainp_zz
    index_i = 2
    index_j = 2
  []
  [straint_xx]
    type = RankTwoAux
    rank_two_tensor = total_strain
    variable = straint_xx
    index_i = 0
    index_j = 0
  []
  [straint_xy]
    type = RankTwoAux
    rank_two_tensor = total_strain
    variable = straint_xy
    index_i = 0
    index_j = 1
  []
  [straint_xz]
    type = RankTwoAux
    rank_two_tensor = total_strain
    variable = straint_xz
    index_i = 0
    index_j = 2
  []
  [straint_yy]
    type = RankTwoAux
    rank_two_tensor = total_strain
    variable = straint_yy
    index_i = 1
    index_j = 1
  []
  [straint_yz]
    type = RankTwoAux
    rank_two_tensor = total_strain
    variable = straint_yz
    index_i = 1
    index_j = 2
  []
  [straint_zz]
    type = RankTwoAux
    rank_two_tensor = total_strain
    variable = straint_zz
    index_i = 2
    index_j = 2
  []
  [f_shear]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 0
    variable = f_shear
  []
  [f_tensile]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 1
    variable = f_tensile
  []
  [f_compressive]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 2
    variable = f_compressive
  []
  [intnl_shear]
    type = MaterialStdVectorAux
    property = plastic_internal_parameter
    index = 0
    variable = intnl_shear
  []
  [intnl_tensile]
    type = MaterialStdVectorAux
    property = plastic_internal_parameter
    index = 1
    variable = intnl_tensile
  []
  [iter]
    type = MaterialRealAux
    property = plastic_NR_iterations
    variable = iter
  []
  [ls]
    type = MaterialRealAux
    property = plastic_linesearch_needed
    variable = ls
  []
[]

[UserObjects]
  [coh]
    type = SolidMechanicsHardeningConstant
    value = 1E6
  []
  [tanphi]
    type = SolidMechanicsHardeningConstant
    value = 0.5
  []
  [tanpsi]
    type = SolidMechanicsHardeningConstant
    value = 0.166666666667
  []
  [t_strength]
    type = SolidMechanicsHardeningConstant
    value = 0
  []
  [c_strength]
    type = SolidMechanicsHardeningConstant
    value = 1E80
  []
[]

[Materials]
  [elasticity_tensor]
    type = ComputeElasticityTensor
    fill_method = symmetric_isotropic
    C_ijkl = '6.4E9 6.4E9' # young 16MPa, Poisson 0.25
  []
  [strain]
    type = ComputeIncrementalStrain
  []
  [admissible]
    type = ComputeMultipleInelasticStress
    inelastic_models = stress
    perform_finite_strain_rotations = false
  []
  [stress]
    type = CappedWeakPlaneStressUpdate
    cohesion = coh
    tan_friction_angle = tanphi
    tan_dilation_angle = tanpsi
    tensile_strength = t_strength
    compressive_strength = c_strength
    tip_smoother = 1E6
    smoothing_tol = 0.5E6
    yield_function_tol = 1E-2
  []
  [density]
    type = GenericConstantMaterial
    block = 0
    prop_names = density
    prop_values = 1E4
  []
[]

[Preconditioning]
  [andy]
    type = SMP
    full = true
    petsc_options = '-snes_converged_reason -snes_linesearch_monitor'
    petsc_options_iname = '-pc_type -pc_asm_overlap -sub_pc_type -ksp_type -ksp_gmres_restart'
    petsc_options_value = ' asm      2              lu            gmres     200'
  []
[]

[Executioner]
  solve_type = 'NEWTON'
  petsc_options = '-snes_converged_reason'
  line_search = bt
  nl_abs_tol = 1E1
  nl_rel_tol = 1e-5
  l_tol = 1E-10

  l_max_its = 100
  nl_max_its = 100

  num_steps = 8
  dt = 0.1
  type = Transient
[]

[Outputs]
  file_base = pull_and_shear
  exodus = true
  csv = true
[]

(modules/thermal_hydraulics/test/tests/components/heat_transfer_from_external_app_1phase/phy.T_wall_transfer_elem_3eqn.parent.i)

# This tests a temperature transfer using the MultiApp system.  Simple heat
# conduction problem is solved, then the layered average is computed and
# transferred into the child side of the solve

[Mesh]
  type = GeneratedMesh
  dim = 1
  xmax = 1
  nx = 10
  parallel_type = replicated
[]

[Functions]
  [left_bc_fn]
    type = PiecewiseLinear
    x = '0   1'
    y = '300 310'
  []
[]

[Variables]
  [T]
  []
[]

[ICs]
  [T_ic]
    type = ConstantIC
    variable = T
    value = 300
  []
[]

[Kernels]
  [td]
    type = TimeDerivative
    variable = T
  []

  [diff]
    type = Diffusion
    variable = T
  []
[]

[BCs]
  [left]
    type = FunctionDirichletBC
    variable = T
    boundary = left
    function = left_bc_fn
  []
[]

[UserObjects]
  [T_avg_uo]
    type = LayeredAverage
    variable = T
    direction = x
    num_layers = 5
  []
[]

[Executioner]
  type = Transient
  dt = 0.5
  end_time = 5
  nl_abs_tol = 1e-10
  abort_on_solve_fail = true
[]

[MultiApps]
  [thm]
    type = TransientMultiApp
    app_type = ThermalHydraulicsApp
    input_files = phy.T_wall_transfer_elem_3eqn.child.i
    execute_on = TIMESTEP_END
  []
[]

[Transfers]
  [T_to_child]
    type = MultiAppGeneralFieldUserObjectTransfer
    to_multi_app = thm
    source_user_object = T_avg_uo
    variable = T_wall
    greedy_search = true
    use_bounding_boxes = false
    error_on_miss = true
  []
[]

[Outputs]
  exodus = true
[]

(test/tests/predictors/simple/predictor_skip_test.i)

# The purpose of this test is to test the simple predictor.  This is a very
# small, monotonically loaded block of material.  If things are working right,
# the predictor should come very close to exactly nailing the solution on steps
# after the first step.

#This test checks to see that the predictor is skipped in the last step.

[Mesh]
  type = GeneratedMesh
  dim = 2
  xmin = 0
  xmax = 1
  ymin = 0
  ymax = 1
  nx = 3
  ny = 3
[]

[Functions]
  [ramp1]
    type = ParsedFunction
    expression = 't'
  []
[]

[Variables]
  [u]
    order = FIRST
    family = LAGRANGE
  []
[]

[Kernels]
  [diff_u]
    type = Diffusion
    variable = u
  []
[]

[BCs]
  [bot]
    type = DirichletBC
    variable = u
    boundary = bottom
    value = 0.0
  []
  [ss2_x]
    type = FunctionDirichletBC
    variable = u
    boundary = top
    function = ramp1
  []
[]

[Executioner]
  type = Transient
  solve_type = 'PJFNK'

  nl_max_its = 15
  nl_rel_tol = 1e-14
  nl_abs_tol = 1e-14

  start_time = 0.0
  dt = 0.5
  end_time = 1.0

  [Predictor]
    type = SimplePredictor
    scale = 1.0
    skip_times = '1.0'
  []
[]

[Postprocessors]
  [final_residual]
    type = Residual
    residual_type = FINAL
  []
  [initial_residual]
    type = Residual
    residual_type = INITIAL
  []
[]

[Outputs]
  csv = true
[]

(test/tests/outputs/debug/show_execution_userobjects.i)

[Mesh]
  [cmg]
    type = CartesianMeshGenerator
    dim = 2
    dx = '1.5 2.4'
    dy = '1.3 0.9'
    ix = '3 2'
    iy = '2 3'
    subdomain_id = '0 1
                    1 0'
  []
  [add_interface]
    type = SideSetsBetweenSubdomainsGenerator
    input = 'cmg'
    primary_block = 0
    paired_block = 1
    new_boundary = 'interface'
  []
  second_order = true
[]

[Functions]
  [forcing_fnu]
    type = ParsedFunction
    expression = -5.8*(x+y)+x*x*x-x+y*y*y-y
  []
  [forcing_fnv]
    type = ParsedFunction
    expression = -4
  []

  [slnu]
    type = ParsedGradFunction
    expression = x*x*x-x+y*y*y-y
    grad_x = 3*x*x-1
    grad_y = 3*y*y-1
  []
  [slnv]
    type = ParsedGradFunction
    expression = x*x+y*y
    grad_x = 2*x
    grad_y = 2*y
  []

  # NeumannBC functions
  [bc_fnut]
    type = ParsedFunction
    expression = 3*y*y-1
  []
  [bc_fnub]
    type = ParsedFunction
    expression = -3*y*y+1
  []
  [bc_fnul]
    type = ParsedFunction
    expression = -3*x*x+1
  []
  [bc_fnur]
    type = ParsedFunction
    expression = 3*x*x-1
  []
[]

[Variables]
  [u]
    order = SECOND
    family = HIERARCHIC
  []
  [v]
    order = SECOND
    family = LAGRANGE
    initial_condition = 1
  []
[]

[AuxVariables]
  [v_elem]
    order = CONSTANT
    family = MONOMIAL
  []
[]

[Kernels]
  active = 'diff1 diff2 test1 forceu forcev react'
  [diff1]
    type = Diffusion
    variable = u
  []
  [test1]
    type = CoupledConvection
    variable = u
    velocity_vector = v
  []
  [diff2]
    type = Diffusion
    variable = v
  []
  [react]
    type = Reaction
    variable = u
  []

  [forceu]
    type = BodyForce
    variable = u
    function = forcing_fnu
  []
  [forcev]
    type = BodyForce
    variable = v
    function = forcing_fnv
  []
[]

[AuxKernels]
  [set_v_elem]
    type = FunctionAux
    variable = v_elem
    # selected not to be the solution for no particular reason
    function = forcing_fnv
  []
[]

[BCs]
  [bc_v]
    type = FunctionDirichletBC
    variable = v
    function = slnv
    boundary = 'left right top bottom'
  []
  [bc_u_tb]
    type = CoupledKernelGradBC
    variable = u
    var2 = v
    vel = '0.1 0.1'
    boundary = 'top bottom left right'
  []
  [bc_ul]
    type = FunctionNeumannBC
    variable = u
    function = bc_fnul
    boundary = 'left'
  []
  [bc_ur]
    type = FunctionNeumannBC
    variable = u
    function = bc_fnur
    boundary = 'right'
  []
  [bc_ut]
    type = FunctionNeumannBC
    variable = u
    function = bc_fnut
    boundary = 'top'
  []
  [bc_ub]
    type = FunctionNeumannBC
    variable = u
    function = bc_fnub
    boundary = 'bottom'
  []
[]

[Postprocessors]
  # Global user objects
  [dofs]
    type = NumDOFs
  []
  [h]
    type = AverageElementSize
  []

  # Elemental user objects
  [L2u]
    type = ElementL2Error
    variable = u
    function = slnu
    # Testing an option
    force_preic = true
  []
  [L2v]
    type = ElementL2Error
    variable = v
    function = slnv
    # Testing an option
    force_preaux = true
  []
  [H1error]
    type = ElementH1Error
    variable = u
    function = slnu
  []
  [H1Semierror]
    type = ElementH1SemiError
    variable = u
    function = slnu
  []
  [L2v_elem]
    type = ElementL2Error
    variable = v_elem
    function = slnv
  []
  [f_integral]
    type = FunctionElementIntegral
    function = slnv
  []
  [int_v]
    type = ElementIntegralVariablePostprocessor
    variable = v
    block = 1
    execute_on = 'TIMESTEP_END transfer'
  []
  [int_v_elem]
    type = ElementIntegralVariablePostprocessor
    variable = v_elem
    block = 1
    execute_on = 'TIMESTEP_END transfer'
  []

  # Side user objects
  [integral_v]
    type = SideIntegralVariablePostprocessor
    variable = v
    boundary = 0
  []
[]

[VectorPostprocessors]
  # General UOs
  [memory]
    type = VectorMemoryUsage
  []
  [line]
    type = LineValueSampler
    variable = v
    num_points = 10
    start_point = '0 0 0'
    end_point = '0.5 0.5 0'
    sort_by = 'x'
  []

  # Nodal UOs
  [nodal_sampler_y]
    type = NodalValueSampler
    variable = v
    sort_by = 'y'
  []
  [nodal_sampler_x]
    type = NodalValueSampler
    variable = v
    sort_by = 'x'
  []

  # Element UO
  [elem_sample]
    type = ElementValueSampler
    variable = v_elem
    sort_by = 'x'
  []
[]

[UserObjects]
  # Nodal user objects
  [find_node]
    type = NearestNodeNumberUO
    point = '0.5 0.5 0'
  []

  # Side user objects
  [side_int]
    type = LayeredSideIntegral
    variable = v
    boundary = 0
    direction = y
    num_layers = 4
  []
  [side_int_2]
    type = NearestPointLayeredSideIntegral
    variable = v
    boundary = 0
    direction = x
    num_layers = 3
    points = '1 1 0'
  []

  # Interface user objects
  [values]
    type = InterfaceQpValueUserObject
    var = v
    boundary = interface
  []

  inactive = 'prime_1 prime_2'
  # Threaded general user objects
  [prime_2]
    type = PrimeProductUserObject
  []
  [prime_1]
    type = PrimeProductUserObject
  []

  # Domain user objects
  [domain_2]
    type = InterfaceDomainUserObject
    u = u
    v = v
    block = '0'
    robin_boundaries = 'left'
    interface_boundaries = 'interface'
    interface_penalty = 1e-10
    nl_abs_tol = 1e1
  []
  [domain_1]
    type = InterfaceDomainUserObject
    u = u
    v = v
    block = '0 1'
    robin_boundaries = 'left'
    interface_boundaries = 'interface'
    interface_penalty = 1e-10
    nl_abs_tol = 1e1
  []
[]

[Executioner]
  type = Steady
  solve_type = 'PJFNK'
  nl_rel_tol = 1e-10
  nl_abs_tol = 1e-10
  l_tol = 1e-5
[]

[Problem]
  kernel_coverage_check = false
[]

[MultiApps]
  active = ''
  [full_solve]
    type = FullSolveMultiApp
    execute_on = 'initial timestep_end final'
    input_files = show_execution_userobjects.i
    cli_args = 'Problem/solve=false'
  []
[]

[Transfers]
  active = ''
  [conservative]
    type = MultiAppNearestNodeTransfer
    from_multi_app = full_solve
    source_variable = v
    variable = v_elem
    from_postprocessors_to_be_preserved = int_v
    to_postprocessors_to_be_preserved = int_v_elem
  []
[]

[Debug]
  show_execution_order = 'ALWAYS INITIAL NONLINEAR LINEAR TIMESTEP_BEGIN TIMESTEP_END FINAL'
[]

(modules/navier_stokes/test/tests/finite_element/pins/channel-flow/pm_friction.i)

# This test case tests the porous-medium flow pressure drop due to friction (both viscous and inertia effect)
#
# At the steady state, eps * grad_p = alpha * u + beta * u^2
# With eps = 0.4, L = 1, u = 1, alpha = 1000, beta = 100
# dp = (1000 + 100) / 0.4 = 2,750
# This can be verified by check the p_in - p_out

[GlobalParams]
  gravity = '0 0 0'

  order = FIRST
  family = LAGRANGE

  u = vel_x
  v = vel_y
  pressure = p
  temperature = T
  porosity = porosity
  eos = eos
[]

[Mesh]
  type = GeneratedMesh
  dim = 2
  xmin = 0
  xmax = 1
  ymin = 0
  ymax = 0.1
  nx = 10
  ny = 4
  elem_type = QUAD4
[]

[FluidProperties]
  [./eos]
    type = SimpleFluidProperties
    density0 = 100              # kg/m^3
    thermal_expansion = 0       # K^{-1}
    cp =  100
    viscosity = 0.1             # Pa-s, Re=rho*u*L/mu = 100*1*0.1/0.1 = 100
  [../]
[]

[Functions]
  [v_in]
    type = PiecewiseLinear
    x = '0   1e5'
    y = '1     1'
  []
[]

[Variables]
  # velocity
  [vel_x]
    initial_condition = 1
  []
  [vel_y]
    initial_condition = 0
  []
  # Pressure
  [p]
    initial_condition = 1e5
  []
[]

[AuxVariables]
  [rho]
    initial_condition = 100
  []
  # Temperature
  [T]
    initial_condition = 630
  []
  [porosity]
    initial_condition = 0.4
  []
[]

[Materials]
  [mat]
    type = PINSFEMaterial
    alpha = 1000
    beta = 100
  []
[]


[Kernels]
  [mass_time]
    type = PINSFEFluidPressureTimeDerivative
    variable = p
  []
  [mass_space]
    type = INSFEFluidMassKernel
    variable = p
  []

  [x_momentum_time]
    type = PINSFEFluidVelocityTimeDerivative
    variable = vel_x
  []
  [x_momentum_space]
    type = INSFEFluidMomentumKernel
    variable = vel_x
    component = 0
  []

  [y_momentum_time]
    type = PINSFEFluidVelocityTimeDerivative
    variable = vel_y
  []
  [y_momentum_space]
    type = INSFEFluidMomentumKernel
    variable = vel_y
    component = 1
  []
[]

[AuxKernels]
  [rho_aux]
    type = FluidDensityAux
    variable = rho
    p = p
    T = T
    fp = eos
  []
[]

[BCs]
  # BCs for mass equation
  # Inlet
  [mass_inlet]
    type = INSFEFluidMassBC
    variable = p
    boundary = 'left'
    v_fn = v_in
  []
  # Outlet
  [./pressure_out]
    type = DirichletBC
    variable = p
    boundary = 'right'
    value = 1e5
  [../]

  # BCs for x-momentum equation
  # Inlet
  [vx_in]
    type = FunctionDirichletBC
    variable = vel_x
    boundary = 'left'
    function = v_in
  []
  # Outlet (no BC is needed)

  # BCs for y-momentum equation
  # Both Inlet and Outlet, and Top and Bottom
  [vy]
    type = DirichletBC
    variable = vel_y
    boundary = 'left right bottom top'
    value = 0
  []
[]

[Preconditioning]
  [SMP_PJFNK]
    type = SMP
    full = true
    solve_type = 'PJFNK'
  []
[]

[Postprocessors]
  [p_in]
    type = SideAverageValue
    variable = p
    boundary = left
  []
  [p_out]
    type = SideAverageValue
    variable = p
    boundary = right
  []
[]

[Executioner]
  type = Transient

  dt = 0.1
  dtmin = 1.e-3

  petsc_options_iname = '-pc_type -ksp_gmres_restart'
  petsc_options_value = 'lu 100'

  nl_rel_tol = 1e-10
  nl_abs_tol = 1e-8
  nl_max_its = 20

  l_tol = 1e-5
  l_max_its = 100

  start_time = 0.0
  end_time = 0.5
  num_steps = 10
[]

[Outputs]
  perf_graph = true
  print_linear_residuals = false
  time_step_interval = 1
  execute_on = 'initial timestep_end'
  [console]
    type = Console
    output_linear = false
  []
  [out]
    type = Exodus
    use_displaced = false
  []
[]

(modules/solid_mechanics/test/tests/volumetric_deform_grad/elastic_stress.i)

[Mesh]
  type = GeneratedMesh
  dim = 3
  elem_type = HEX8
  displacements = 'disp_x disp_y disp_z'
[]

[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
[]

[Kernels]
  [SolidMechanics]
    displacements = 'disp_x disp_y disp_z'
    use_displaced_mesh = true
  [../]
[]

[AuxVariables]
  [./stress_zz]
    order = CONSTANT
    family = MONOMIAL
    block = 0
  [../]
[]

[AuxKernels]
  [./stress_zz]
    type = RankTwoAux
    variable = stress_zz
    rank_two_tensor = stress
    index_j = 2
    index_i = 2
    execute_on = timestep_end
    block = 0
  [../]
[]

[BCs]
  [./symmy]
    type = DirichletBC
    variable = disp_y
    boundary = bottom
    value = 0
  [../]
  [./symmx]
    type = DirichletBC
    variable = disp_x
    boundary = left
    value = 0
  [../]
  [./symmz]
    type = DirichletBC
    variable = disp_z
    boundary = back
    value = 0
  [../]
  [./tdisp]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = front
    function = '0.01*t'
  [../]
[]

[Materials]
  [./strain]
    type = ComputeFiniteStrain
    block = 0
    displacements = 'disp_x disp_y disp_z'
  [../]
  [./elastic_stress]
    type = ComputeDeformGradBasedStress
    deform_grad_name = deformation_gradient
    elasticity_tensor_name = elasticity_tensor
    stress_name = stress
    jacobian_name = Jacobian_mult
    block = 0
  [../]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    block = 0
    C_ijkl = '2.8e5 1.2e5 1.2e5 2.8e5 1.2e5 2.8e5 0.8e5 0.8e5 0.8e5'
    fill_method = symmetric9
  [../]
[]

[Postprocessors]
  [./stress_zz]
    type = ElementAverageValue
    variable = stress_zz
    block = 'ANY_BLOCK_ID 0'
  [../]
[]

[Preconditioning]
  [./smp]
    type = SMP
    full = true
  [../]
[]

[Executioner]
  type = Transient
  dt = 0.02
  #Preconditioned JFNK (default)
  solve_type = 'PJFNK'
  petsc_options_iname = '-pc_type -pc_hypre_type -ksp_gmres_restart'
  petsc_options_value = 'hypre boomeramg 101'
  dtmax = 10.0
  nl_rel_tol = 1e-10
  dtmin = 0.02
  num_steps = 10
[]

[Outputs]
  csv = true
[]

(modules/solid_mechanics/test/tests/tensile/small_deform7.i)

# checking for small deformation
# A single element is incrementally stretched in the in the z direction
# This causes the return direction to be along the hypersurface sigma_II = sigma_III,
# and the resulting stresses are checked to lie on the expected yield surface
#
# tensile_strength is set to 1Pa,
# cap smoothing is used with tip_smoother = 0.0, cap_start = 0.5, cap_rate = 2.0
# Lode angle = -30degrees


[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]

[Physics/SolidMechanics/QuasiStatic]
  [./all]
    add_variables = true
    incremental = true
    strain = finite
    generate_output = 'stress_xx stress_xy stress_xz stress_yy stress_yz stress_zz'
  [../]
[]

[BCs]
  [./x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'front back'
    function = '0'
  [../]
  [./y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'front back'
    function = '0'
  [../]
  [./z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'front back'
    function = '0.25E-6*z*t*t'
  [../]
[]

[AuxVariables]
  [./yield_fcn]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./iter]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]

[AuxKernels]
  [./yield_fcn_auxk]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 0
    variable = yield_fcn
  [../]
  [./iter_auxk]
    type = MaterialRealAux
    property = plastic_NR_iterations
    variable = iter
  [../]
[]

[Postprocessors]
  [./s_xx]
    type = PointValue
    point = '0 0 0'
    variable = stress_xx
  [../]
  [./s_xy]
    type = PointValue
    point = '0 0 0'
    variable = stress_xy
  [../]
  [./s_xz]
    type = PointValue
    point = '0 0 0'
    variable = stress_xz
  [../]
  [./s_yy]
    type = PointValue
    point = '0 0 0'
    variable = stress_yy
  [../]
  [./s_yz]
    type = PointValue
    point = '0 0 0'
    variable = stress_yz
  [../]
  [./s_zz]
    type = PointValue
    point = '0 0 0'
    variable = stress_zz
  [../]
  [./f]
    type = PointValue
    point = '0 0 0'
    variable = yield_fcn
  [../]
  [./iter]
    type = PointValue
    point = '0 0 0'
    variable = iter
  [../]
[]

[UserObjects]
  [./ts]
    type = SolidMechanicsHardeningConstant
    value = 1
  [../]
  [./mc]
    type = SolidMechanicsPlasticTensile
    tensile_strength = ts
    yield_function_tolerance = 1E-6
    tip_scheme = cap
    tensile_tip_smoother = 0.0
    cap_start = -0.5
    cap_rate = 2
    internal_constraint_tolerance = 1E-5
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    block = 0
    fill_method = symmetric_isotropic
    C_ijkl = '0 2.0E6'
  [../]
  [./mc]
    type = ComputeMultiPlasticityStress
    block = 0
    ep_plastic_tolerance = 1E-5
    max_NR_iterations = 1000
    plastic_models = mc
    debug_fspb = crash
  [../]
[]


[Executioner]
  end_time = 9
  dt = 0.9
  type = Transient
[]


[Outputs]
  file_base = small_deform7
  exodus = false
  [./csv]
    type = CSV
    [../]
[]

(modules/solid_mechanics/test/tests/mohr_coulomb/random.i)

# apply many random large deformations, checking that the algorithm returns correctly to
# the yield surface each time.


[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1000
  ny = 125
  nz = 1
  xmin = 0
  xmax = 1000
  ymin = 0
  ymax = 125
  zmin = 0
  zmax = 1
[]


[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
[]

[Kernels]
  [SolidMechanics]
    displacements = 'disp_x disp_y disp_z'
  [../]
[]


[ICs]
  [./x]
    type = RandomIC
    min = -0.1
    max = 0.1
    variable = disp_x
  [../]
  [./y]
    type = RandomIC
    min = -0.1
    max = 0.1
    variable = disp_y
  [../]
  [./z]
    type = RandomIC
    min = -0.1
    max = 0.1
    variable = disp_z
  [../]
[]

[BCs]
  [./x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'front back'
    function = '0'
  [../]
  [./y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'front back'
    function = '0'
  [../]
  [./z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'front back'
    function = '0'
  [../]
[]

[AuxVariables]
  [./yield_fcn]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./iter]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]

[AuxKernels]
  [./yield_fcn_auxk]
    type = MaterialStdVectorAux
    index = 0
    property = plastic_yield_function
    variable = yield_fcn
  [../]
  [./iter]
    type = MaterialRealAux
    property = plastic_NR_iterations
    variable = iter
  [../]
[]

[Postprocessors]
  [./yield_fcn_at_zero]
    type = PointValue
    point = '0 0 0'
    variable = yield_fcn
    outputs = 'console'
  [../]
  [./should_be_zero]
    type = FunctionValuePostprocessor
    function = should_be_zero_fcn
  [../]
  [./av_iter]
    type = ElementAverageValue
    variable = iter
    outputs = 'console'
  [../]
[]

[Functions]
  [./should_be_zero_fcn]
    type = ParsedFunction
    expression = 'if(a<1E-3,0,a)'
    symbol_names = 'a'
    symbol_values = 'yield_fcn_at_zero'
  [../]
[]

[UserObjects]
  [./mc_coh]
    type = SolidMechanicsHardeningConstant
    value = 1E3
  [../]
  [./mc_phi]
    type = SolidMechanicsHardeningConstant
    value = 30
    convert_to_radians = true
  [../]
  [./mc_psi]
    type = SolidMechanicsHardeningConstant
    value = 5
    convert_to_radians = true
  [../]
  [./mc]
    type = SolidMechanicsPlasticMohrCoulomb
    cohesion = mc_coh
    friction_angle = mc_phi
    dilation_angle = mc_psi
    mc_tip_smoother = 0.1E3
    mc_edge_smoother = 25
    yield_function_tolerance = 1E-3
    internal_constraint_tolerance = 1E-6
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    block = 0
    fill_method = symmetric_isotropic
    C_ijkl = '0.7E7 1E7'
  [../]
  [./strain]
    type = ComputeFiniteStrain
    block = 0
    displacements = 'disp_x disp_y disp_z'
  [../]
  [./mc]
    type = ComputeMultiPlasticityStress
    block = 0
    max_NR_iterations = 1000
    ep_plastic_tolerance = 1E-6
    min_stepsize = 1E-3
    plastic_models = mc
    debug_fspb = crash
    deactivation_scheme = safe
  [../]
[]


[Executioner]
  end_time = 1
  dt = 1
  type = Transient
[]


[Outputs]
  file_base = random
  exodus = false
  [./csv]
    type = CSV
    [../]
[]

(modules/solid_mechanics/test/tests/2D_geometries/2D-RZ_centerline_VLC.i)

# Simple test to check for use of AxisymmetricCenterlineAverageValue with
# volumetric_locking_correction activated in a tensor mechanics simulation

[Mesh]
  type = GeneratedMesh
  dim = 2
[]

[GlobalParams]
  displacements = 'disp_r disp_z'
  volumetric_locking_correction = true
[]

[Problem]
  coord_type = RZ
[]

[Physics/SolidMechanics/QuasiStatic]
  [./all]
    strain = FINITE
    add_variables = true
  [../]
[]

[AuxVariables]
  [./temperature]
    initial_condition = 298.0
  [../]
[]

[BCs]
  [./symmetry_x]
    type = DirichletBC
    variable = disp_r
    value = 0
    boundary = left
  [../]
  [./roller_z]
    type = DirichletBC
    variable = disp_z
    value = 0
    boundary = bottom
  [../]
  [./top_load]
    type = FunctionDirichletBC
    variable = disp_z
    function = -0.01*t
    boundary = top
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeIsotropicElasticityTensor
    youngs_modulus = 1e10
    poissons_ratio = 0.3
  [../]
  [./_elastic_strain]
    type = ComputeFiniteStrainElasticStress
  [../]
[]

[Executioner]
  type = Transient
  solve_type = 'PJFNK'
  line_search = 'none'

  nl_rel_tol = 1e-8
  nl_abs_tol = 1e-10
  nl_max_its = 15

  l_tol = 1e-6
  l_max_its = 50

  start_time = 0.0
  end_time = 0.3
  dt = 0.1
[]

[Postprocessors]
  [./center_temperature]
    type = AxisymmetricCenterlineAverageValue
    variable = temperature
    boundary = left
  [../]
[]

[Outputs]
  csv = true
  perf_graph = true
[]

(modules/contact/test/tests/verification/hertz_cyl/quart_symm_q4/hertz_cyl_qsym_1deg_template1.i)

[GlobalParams]
  volumetric_locking_correction = true
  displacements = 'disp_x disp_y'
[]

[Mesh]
  file = hertz_cyl_qsym_1deg_q4.e
[]

[Problem]
  type = ReferenceResidualProblem
  extra_tag_vectors = 'ref'
  reference_vector = 'ref'
[]

[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
[]

[AuxVariables]
  [./stress_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./saved_x]
  [../]
  [./saved_y]
  [../]
  [./diag_saved_x]
  [../]
  [./diag_saved_y]
  [../]
  [./inc_slip_x]
  [../]
  [./inc_slip_y]
  [../]
  [./accum_slip_x]
  [../]
  [./accum_slip_y]
  [../]
  [./tang_force_x]
  [../]
  [./tang_force_y]
  [../]
[]

[Functions]
  [./disp_ramp_vert]
    type = PiecewiseLinear
    x = '0. 1. 2.'
    y = '0. -0.0020 -0.0020'
  [../]
  [./disp_ramp_zero]
    type = PiecewiseLinear
    x = '0. 1. 2.'
    y = '0. 0.0 0.0'
  [../]
[]

[Kernels]
  [./TensorMechanics]
    use_displaced_mesh = true
    save_in = 'saved_x saved_y'
    extra_vector_tags = 'ref'
  [../]
[]

[AuxKernels]
  [./stress_xx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xx
    index_i = 0
    index_j = 0
    execute_on = timestep_end
  [../]
  [./stress_yy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yy
    index_i = 1
    index_j = 1
    execute_on = timestep_end
  [../]
  [./stress_xy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xy
    index_i = 0
    index_j = 1
    execute_on = timestep_end
  [../]
  [./inc_slip_x]
    type = PenetrationAux
    variable = inc_slip_x
    execute_on = timestep_end
    boundary = 4
    paired_boundary = 3
  [../]
  [./inc_slip_y]
    type = PenetrationAux
    variable = inc_slip_y
    execute_on = timestep_end
    boundary = 4
    paired_boundary = 3
  [../]
  [./accum_slip_x]
    type = PenetrationAux
    variable = accum_slip_x
    execute_on = timestep_end
    boundary = 4
    paired_boundary = 3
  [../]
  [./accum_slip_y]
    type = PenetrationAux
    variable = accum_slip_y
    execute_on = timestep_end
    boundary = 4
    paired_boundary = 3
  [../]
  [./penetration]
    type = PenetrationAux
    variable = penetration
    boundary = 4
    paired_boundary = 3
  [../]
  [./tang_force_x]
    type = PenetrationAux
    variable = tang_force_x
    quantity = tangential_force_x
    boundary = 4
    paired_boundary = 3
  [../]
  [./tang_force_y]
    type = PenetrationAux
    variable = tang_force_y
    quantity = tangential_force_y
    boundary = 4
    paired_boundary = 3
  [../]
[]

[Postprocessors]
  [./bot_react_x]
    type = NodalSum
    variable = saved_x
    boundary = 1
  [../]
  [./bot_react_y]
    type = NodalSum
    variable = saved_y
    boundary = 1
  [../]
  [./top_react_x]
    type = NodalSum
    variable = saved_x
    boundary = 5
  [../]
  [./top_react_y]
    type = NodalSum
    variable = saved_y
    boundary = 5
  [../]
  [./ref_resid_x]
    type = NodalL2Norm
    execute_on = timestep_end
    variable = saved_x
  [../]
  [./ref_resid_y]
    type = NodalL2Norm
    execute_on = timestep_end
    variable = saved_y
  [../]
  [./disp_x281]
    type = NodalVariableValue
    nodeid = 280
    variable = disp_x
  [../]
  [./_dt]
    type = TimestepSize
  [../]
  [./num_lin_it]
    type = NumLinearIterations
  [../]
  [./num_nonlin_it]
    type = NumNonlinearIterations
  [../]
[]

[BCs]
  [./side_x]
    type = DirichletBC
    variable = disp_y
    boundary = '1 3'
    value = 0.0
  [../]
  [./bot_y]
    type = DirichletBC
    variable = disp_x
    boundary = '1 2 3'
    value = 0.0
  [../]
  [./top_y_disp]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 5
    function = disp_ramp_vert
  [../]
[]

[Materials]
  [./stuff1_elas_tens]
    type = ComputeIsotropicElasticityTensor
    block = '1'
    youngs_modulus = 1e10
    poissons_ratio = 0.0
  [../]
  [./stuff1_strain]
    type = ComputeFiniteStrain
    block = '1'
  [../]
  [./stuff1_stress]
    type = ComputeFiniteStrainElasticStress
    block = '1'
  [../]
  [./stuff2_elas_tens]
    type = ComputeIsotropicElasticityTensor
    block = '2'
    youngs_modulus = 1e6
    poissons_ratio = 0.3
  [../]
  [./stuff2_strain]
    type = ComputeFiniteStrain
    block = '2'
  [../]
  [./stuff2_stress]
    type = ComputeFiniteStrainElasticStress
    block = '2'
  [../]
  [./stuff3_elas_tens]
    type = ComputeIsotropicElasticityTensor
    block = '3'
    youngs_modulus = 1e6
    poissons_ratio = 0.3
  [../]
  [./stuff3_strain]
    type = ComputeFiniteStrain
    block = '3'
  [../]
  [./stuff3_stress]
    type = ComputeFiniteStrainElasticStress
    block = '3'
  [../]
  [./stuff4_elas_tens]
    type = ComputeIsotropicElasticityTensor
    block = '4'
    youngs_modulus = 1e6
    poissons_ratio = 0.3
  [../]
  [./stuff4_strain]
    type = ComputeFiniteStrain
    block = '4'
  [../]
  [./stuff4_stress]
    type = ComputeFiniteStrainElasticStress
    block = '4'
  [../]
[]

[Executioner]
  type = Transient
  solve_type = 'PJFNK'

  petsc_options_iname = '-pc_type -pc_factor_mat_solver_type'
  petsc_options_value = 'lu     superlu_dist'

  line_search = 'none'

  nl_abs_tol = 1e-6
  nl_rel_tol = 1e-5
  l_max_its = 50
  nl_max_its = 100

  start_time = 0.0
  dt = 0.1
  dtmin = 0.1
  num_steps = 10
  end_time = 1.0
  l_tol = 1e-3
[]

[VectorPostprocessors]
  [./x_disp]
    type = NodalValueSampler
    variable = disp_x
    boundary = '3 4 5'
    sort_by = id
  [../]
  [./y_disp]
    type = NodalValueSampler
    variable = disp_y
    boundary = '3 4 5'
    sort_by = id
  [../]
  [./cont_press]
    type = NodalValueSampler
    variable = contact_pressure
    boundary = '4'
    sort_by = id
  [../]
[]

[Outputs]
  print_linear_residuals = true
  perf_graph = true
  [./exodus]
    type = Exodus
    elemental_as_nodal = true
  [../]
  [./console]
    type = Console
    max_rows = 5
  [../]
  [./chkfile]
    type = CSV
    show = 'bot_react_x bot_react_y disp_x281 top_react_x top_react_y x_disp y_disp cont_press'
    start_time = 0.9
    execute_vector_postprocessors_on = timestep_end
  [../]
  [./outfile]
    type = CSV
    delimiter = ' '
    execute_vector_postprocessors_on = none
  [../]
[]

[Contact]
  [./interface]
    primary = 3
    secondary = 4
    model = glued
    formulation = kinematic
    normalize_penalty = true
    tangential_tolerance = 1e-3
    penalty = 1e+9
  [../]
[]

(test/tests/geomsearch/3d_moving_penetration/pl_test1.i)

[GlobalParams]
  order = FIRST
  family = LAGRANGE
[]

[Mesh]
  file = pl_test1.e
  displacements = 'disp_x disp_y disp_z'
[]

[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
[]

[AuxVariables]
  [./distance]
  [../]
  [./tangential_distance]
  [../]
  [./normal_x]
  [../]
  [./normal_y]
  [../]
  [./normal_z]
  [../]
  [./closest_point_x]
  [../]
  [./closest_point_y]
  [../]
  [./closest_point_z]
  [../]
  [./element_id]
  [../]
  [./side]
  [../]
[]

[Kernels]
  [./diff_x]
    type = Diffusion
    variable = disp_x
  [../]
  [./diff_y]
    type = Diffusion
    variable = disp_y
  [../]
  [./diff_z]
    type = Diffusion
    variable = disp_z
  [../]
[]

[AuxKernels]
  [./penetrate]
    type = PenetrationAux
    variable = distance
    boundary = 11            #secondary
    paired_boundary = 12     #primary
  [../]

  [./penetrate2]
    type = PenetrationAux
    variable = distance
    boundary = 12            #secondary
    paired_boundary = 11     #primary
  [../]

  [./penetrate3]
    type = PenetrationAux
    variable = tangential_distance
    boundary = 11
    paired_boundary = 12
    quantity = tangential_distance
  [../]

  [./penetrate4]
    type = PenetrationAux
    variable = tangential_distance
    boundary = 12
    paired_boundary = 11
    quantity = tangential_distance
  [../]

  [./penetrate5]
    type = PenetrationAux
    variable = normal_x
    boundary = 11
    paired_boundary = 12
    quantity = normal_x
  [../]

  [./penetrate6]
    type = PenetrationAux
    variable = normal_x
    boundary = 12
    paired_boundary = 11
    quantity = normal_x
  [../]

  [./penetrate7]
    type = PenetrationAux
    variable = normal_y
    boundary = 11
    paired_boundary = 12
    quantity = normal_y
  [../]

  [./penetrate8]
    type = PenetrationAux
    variable = normal_y
    boundary = 12
    paired_boundary = 11
    quantity = normal_y
  [../]

  [./penetrate9]
    type = PenetrationAux
    variable = normal_z
    boundary = 11
    paired_boundary = 12
    quantity = normal_z
  [../]

  [./penetrate10]
    type = PenetrationAux
    variable = normal_z
    boundary = 12
    paired_boundary = 11
    quantity = normal_z
  [../]

  [./penetrate11]
    type = PenetrationAux
    variable = closest_point_x
    boundary = 11
    paired_boundary = 12
    quantity = closest_point_x
  [../]

  [./penetrate12]
    type = PenetrationAux
    variable = closest_point_x
    boundary = 12
    paired_boundary = 11
    quantity = closest_point_x
  [../]

  [./penetrate13]
    type = PenetrationAux
    variable = closest_point_y
    boundary = 11
    paired_boundary = 12
    quantity = closest_point_y
  [../]

  [./penetrate14]
    type = PenetrationAux
    variable = closest_point_y
    boundary = 12
    paired_boundary = 11
    quantity = closest_point_y
  [../]

  [./penetrate15]
    type = PenetrationAux
    variable = closest_point_z
    boundary = 11
    paired_boundary = 12
    quantity = closest_point_z
  [../]

  [./penetrate16]
    type = PenetrationAux
    variable = closest_point_z
    boundary = 12
    paired_boundary = 11
    quantity = closest_point_z
  [../]

  [./penetrate17]
    type = PenetrationAux
    variable = element_id
    boundary = 11
    paired_boundary = 12
    quantity = element_id
  [../]

  [./penetrate18]
    type = PenetrationAux
    variable = element_id
    boundary = 12
    paired_boundary = 11
    quantity = element_id
  [../]

  [./penetrate19]
    type = PenetrationAux
    variable = side
    boundary = 11
    paired_boundary = 12
    quantity = side
  [../]

  [./penetrate20]
    type = PenetrationAux
    variable = side
    boundary = 12
    paired_boundary = 11
    quantity = side
  [../]
[]

[BCs]
  [./b1x]
    type = DirichletBC
    variable = disp_x
    boundary = 1
    value = 0
  [../]

  [./b1y]
    type = DirichletBC
    variable = disp_y
    boundary = 1
    value = 0
  [../]

  [./b1z]
    type = DirichletBC
    variable = disp_z
    boundary = 1
    value = 0
  [../]

  [./b2x]
    type = DirichletBC
    variable = disp_x
    boundary = 2
    value = 0
  [../]

  [./b2y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 2
    function = disp_y
  [../]

  [./b2z]
    type = DirichletBC
    variable = disp_z
    boundary = 2
    value = 0
  [../]
[]

[Functions]
  [./disp_y]
    type = PiecewiseLinear
    x = '0.0 0.25 0.75 1.0'
    y = '0.0 0.7 -0.7  0.0'
  [../]
[]

[Executioner]
  type = Transient

  solve_type = 'PJFNK'
  petsc_options = '-snes_ksp_ew'

  nl_rel_tol = 1e-9
  l_max_its = 10

  start_time = 0.0
  dt = 0.05
  end_time = 1.0
[]

[Outputs]
  file_base = pl_test1_out
  exodus = true
[]

(test/tests/geomsearch/3d_moving_penetration/pl_test4tt.i)

[GlobalParams]
  order = FIRST
  family = LAGRANGE
[]

[Mesh]
  file = pl_test4tt.e
  displacements = 'disp_x disp_y disp_z'
[]

[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
[]

[AuxVariables]
  [./distance]
  [../]
  [./tangential_distance]
  [../]
  [./normal_x]
  [../]
  [./normal_y]
  [../]
  [./normal_z]
  [../]
  [./closest_point_x]
  [../]
  [./closest_point_y]
  [../]
  [./closest_point_z]
  [../]
  [./element_id]
  [../]
  [./side]
  [../]
[]

[Kernels]
  [./diff_x]
    type = Diffusion
    variable = disp_x
  [../]
  [./diff_y]
    type = Diffusion
    variable = disp_y
  [../]
  [./diff_z]
    type = Diffusion
    variable = disp_z
  [../]
[]

[AuxKernels]
  [./penetrate]
    type = PenetrationAux
    variable = distance
    boundary = 11            #secondary
    paired_boundary = 12     #primary
    tangential_tolerance = 0.09
  [../]

  [./penetrate2]
    type = PenetrationAux
    variable = distance
    boundary = 12            #secondary
    paired_boundary = 11     #primary
    tangential_tolerance = 0.09
  [../]

  [./penetrate3]
    type = PenetrationAux
    variable = tangential_distance
    boundary = 11
    paired_boundary = 12
    quantity = tangential_distance
  [../]

  [./penetrate4]
    type = PenetrationAux
    variable = tangential_distance
    boundary = 12
    paired_boundary = 11
    quantity = tangential_distance
  [../]

  [./penetrate5]
    type = PenetrationAux
    variable = normal_x
    boundary = 11
    paired_boundary = 12
    quantity = normal_x
  [../]

  [./penetrate6]
    type = PenetrationAux
    variable = normal_x
    boundary = 12
    paired_boundary = 11
    quantity = normal_x
  [../]

  [./penetrate7]
    type = PenetrationAux
    variable = normal_y
    boundary = 11
    paired_boundary = 12
    quantity = normal_y
  [../]

  [./penetrate8]
    type = PenetrationAux
    variable = normal_y
    boundary = 12
    paired_boundary = 11
    quantity = normal_y
  [../]

  [./penetrate9]
    type = PenetrationAux
    variable = normal_z
    boundary = 11
    paired_boundary = 12
    quantity = normal_z
  [../]

  [./penetrate10]
    type = PenetrationAux
    variable = normal_z
    boundary = 12
    paired_boundary = 11
    quantity = normal_z
  [../]

  [./penetrate11]
    type = PenetrationAux
    variable = closest_point_x
    boundary = 11
    paired_boundary = 12
    quantity = closest_point_x
  [../]

  [./penetrate12]
    type = PenetrationAux
    variable = closest_point_x
    boundary = 12
    paired_boundary = 11
    quantity = closest_point_x
  [../]

  [./penetrate13]
    type = PenetrationAux
    variable = closest_point_y
    boundary = 11
    paired_boundary = 12
    quantity = closest_point_y
  [../]

  [./penetrate14]
    type = PenetrationAux
    variable = closest_point_y
    boundary = 12
    paired_boundary = 11
    quantity = closest_point_y
  [../]

  [./penetrate15]
    type = PenetrationAux
    variable = closest_point_z
    boundary = 11
    paired_boundary = 12
    quantity = closest_point_z
  [../]

  [./penetrate16]
    type = PenetrationAux
    variable = closest_point_z
    boundary = 12
    paired_boundary = 11
    quantity = closest_point_z
  [../]

  [./penetrate17]
    type = PenetrationAux
    variable = element_id
    boundary = 11
    paired_boundary = 12
    quantity = element_id
  [../]

  [./penetrate18]
    type = PenetrationAux
    variable = element_id
    boundary = 12
    paired_boundary = 11
    quantity = element_id
  [../]

  [./penetrate19]
    type = PenetrationAux
    variable = side
    boundary = 11
    paired_boundary = 12
    quantity = side
  [../]

  [./penetrate20]
    type = PenetrationAux
    variable = side
    boundary = 12
    paired_boundary = 11
    quantity = side
  [../]
[]

[BCs]
  [./b1x]
    type = DirichletBC
    variable = disp_x
    boundary = 1
    value = 0
  [../]

  [./b1y]
    type = DirichletBC
    variable = disp_y
    boundary = 1
    value = 0
  [../]

  [./b1z]
    type = DirichletBC
    variable = disp_z
    boundary = 1
    value = 0
  [../]

  [./b2x]
    type = DirichletBC
    variable = disp_x
    boundary = 2
    value = 0
  [../]

  [./b2y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 2
    function = disp_y
  [../]

  [./b2z]
    type = DirichletBC
    variable = disp_z
    boundary = 2
    value = 0
  [../]
[]

[Functions]
  [./disp_y]
    type = PiecewiseLinear
    x = '0.0 0.25 0.75 1.0'
    y = '0.0 2.0 -2.0  0.0'
  [../]
[]

[Executioner]
  type = Transient

  solve_type = 'PJFNK'
  petsc_options = '-snes_ksp_ew'

  nl_rel_tol = 1e-9
  l_max_its = 10

  start_time = 0.0
  dt = 0.02
  end_time = 1.0
[]

[Outputs]
  file_base = pl_test4tt_out
  exodus = true
[]

(test/tests/userobjects/internal_side_user_object/internal_side_user_object.i)

[Mesh]
  type = GeneratedMesh
  dim = 2
  xmin = -1
  ymin = -1
  xmax = 1
  ymax = 1
  nx = 2
  ny = 2
  elem_type = QUAD4
[]

[Functions]
  [./fn_exact]
    type = ParsedFunction
    expression = 'x*x+y*y'
  [../]

  [./ffn]
    type = ParsedFunction
    expression = -4
  [../]
[]

[UserObjects]
  [./isuo]
    type = InsideUserObject
    variable = u
  [../]
[]

[Variables]
  [./u]
    family = LAGRANGE
    order = FIRST
  [../]
[]

[Kernels]
  [./diff]
    type = Diffusion
    variable = u
  [../]

  [./ffn]
    type = BodyForce
    variable = u
    function = ffn
  [../]
[]

[BCs]
  [./all]
    type = FunctionDirichletBC
    variable = u
    boundary = '0 1 2 3'
    function = fn_exact
  [../]
[]

[Postprocessors]
  [./value]
    type = InsideValuePPS
    user_object = isuo
  [../]
[]

[Executioner]
  type = Steady
[]

[Outputs]
  exodus = true
[]

(test/tests/time_integrators/central-difference/central_difference.i)

###########################################################
# This is a simple test with a time-dependent problem
# demonstrating the use of the TimeIntegrator system.
#
# Testing that the first and second time derivatives
# are calculated correctly using the Central Difference
# method
#
# @Requirement F1.30
###########################################################

[Mesh]
  type = GeneratedMesh
  dim = 2
  xmin = -1
  xmax = 1
  ymin = -1
  ymax = 1
  nx = 1
  ny = 1
[]

[Variables]
  [./u]
  [../]
[]

[Functions]
  [./forcing_fn]
    type = PiecewiseLinear
    x = '0.0 0.1 0.2    0.3  0.4    0.5  0.6'
    y = '0.0 0.0 0.0025 0.01 0.0175 0.02 0.02'
  [../]
[]

[Kernels]
  [./ie]
    type = TimeDerivative
    variable = u
  [../]

  [./diff]
    type = Diffusion
    variable = u
  [../]
[]

[BCs]
  [./left]
    type = FunctionDirichletBC
    variable = u
    boundary = 'left'
    function = forcing_fn
    preset = false
  [../]
  [./right]
    type = FunctionDirichletBC
    variable = u
    boundary = 'right'
    function = forcing_fn
    preset = false
  [../]
[]

[Executioner]
  type = Transient

  [./TimeIntegrator]
    type = CentralDifference
  []

  start_time = 0.0
  num_steps = 6
  dt = 0.1
[]

[Postprocessors]
  [./udot]
    type = ElementAverageTimeDerivative
    variable = u
  [../]
  [./udotdot]
    type = ElementAverageSecondTimeDerivative
    variable = u
  [../]
  [./u]
    type = ElementAverageValue
    variable = u
  [../]
[]

[Outputs]
  csv = true
[]

(modules/solid_mechanics/test/tests/neml2/plasticity/isoharden.i)

N = 2

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]

[Mesh]
  [gmg]
    type = GeneratedMeshGenerator
    dim = 3
    nx = ${N}
    ny = ${N}
    nz = ${N}
  []
[]

[Physics]
  [SolidMechanics]
    [QuasiStatic]
      [all]
        strain = SMALL
        new_system = true
        add_variables = true
        formulation = TOTAL
        volumetric_locking_correction = true
      []
    []
  []
[]

[NEML2]
  input = 'isoharden_neml2.i'
  [all]
    model = 'model'
    verbose = true
    device = 'cpu'

    moose_input_types = 'MATERIAL     POSTPROCESSOR POSTPROCESSOR MATERIAL              MATERIAL'
    moose_inputs = '     neml2_strain time          time          plastic_strain        equivalent_plastic_strain'
    neml2_inputs = '     forces/E     forces/t      old_forces/t  old_state/internal/Ep old_state/internal/ep'

    moose_output_types = 'MATERIAL     MATERIAL          MATERIAL'
    moose_outputs = '     neml2_stress plastic_strain    equivalent_plastic_strain'
    neml2_outputs = '     state/S      state/internal/Ep state/internal/ep'

    moose_derivative_types = 'MATERIAL'
    moose_derivatives = 'neml2_jacobian'
    neml2_derivatives = 'state/S forces/E'
  []
[]

[Postprocessors]
  [time]
    type = TimePostprocessor
    execute_on = 'INITIAL TIMESTEP_BEGIN'
  []
[]

[Materials]
  [convert_strain]
    type = RankTwoTensorToSymmetricRankTwoTensor
    from = 'mechanical_strain'
    to = 'neml2_strain'
  []
  [stress]
    type = ComputeLagrangianObjectiveCustomSymmetricStress
    custom_small_stress = 'neml2_stress'
    custom_small_jacobian = 'neml2_jacobian'
  []
[]

[BCs]
  [xfix]
    type = DirichletBC
    variable = disp_x
    boundary = left
    value = 0
  []
  [yfix]
    type = DirichletBC
    variable = disp_y
    boundary = bottom
    value = 0
  []
  [zfix]
    type = DirichletBC
    variable = disp_z
    boundary = back
    value = 0
  []
  [xdisp]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = right
    function = t
    preset = false
  []
[]

[Executioner]
  type = Transient
  solve_type = NEWTON
  petsc_options_iname = '-pc_type'
  petsc_options_value = 'lu'
  automatic_scaling = true
  dt = 1e-3
  dtmin = 1e-3
  num_steps = 5
  residual_and_jacobian_together = true
[]

[Outputs]
  exodus = true
[]

(modules/solid_mechanics/test/tests/crystal_plasticity/monolithic_material_based/cp_slip_rate_integ/crysp_substep.i)

[Mesh]
  type = GeneratedMesh
  dim = 3
  elem_type = HEX8
  displacements = 'disp_x disp_y disp_z'
[]

[Variables]
  [./disp_x]
    block = 0
  [../]
  [./disp_y]
    block = 0
  [../]
  [./disp_z]
    block = 0
  [../]
[]

[AuxVariables]
  [./stress_zz]
    order = CONSTANT
    family = MONOMIAL
    block = 0
  [../]
  [./fp_zz]
    order = CONSTANT
    family = MONOMIAL
    block = 0
  [../]
  [./e_zz]
    order = CONSTANT
    family = MONOMIAL
    block = 0
  [../]
  [./gss1]
    order = CONSTANT
    family = MONOMIAL
    block = 0
  [../]
[]

[Functions]
  [./tdisp]
    type = ParsedFunction
    expression = 0.01*t
  [../]
[]

[Kernels]
  [SolidMechanics]
    displacements = 'disp_x disp_y disp_z'
    use_displaced_mesh = true
  [../]
[]

[AuxKernels]
  [./stress_zz]
    type = RankTwoAux
    variable = stress_zz
    rank_two_tensor = stress
    index_j = 2
    index_i = 2
    execute_on = timestep_end
    block = 0
  [../]
  [./fp_zz]
    type = RankTwoAux
    variable = fp_zz
    rank_two_tensor = fp
    index_j = 2
    index_i = 2
    execute_on = timestep_end
    block = 0
  [../]
  [./e_zz]
    type = RankTwoAux
    variable = e_zz
    rank_two_tensor = lage
    index_j = 2
    index_i = 2
    execute_on = timestep_end
    block = 0
  [../]
  [./gss1]
    type = MaterialStdVectorAux
    variable = gss1
    property = gss
    index = 0
    execute_on = timestep_end
    block = 0
  [../]
[]

[BCs]
  [./symmy]
    type = DirichletBC
    variable = disp_y
    boundary = bottom
    value = 0
  [../]
  [./symmx]
    type = DirichletBC
    variable = disp_x
    boundary = left
    value = 0
  [../]
  [./symmz]
    type = DirichletBC
    variable = disp_z
    boundary = back
    value = 0
  [../]
  [./tdisp]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = front
    function = tdisp
  [../]
[]

[Materials]
  [./crysp]
    type = FiniteStrainCPSlipRateRes
    block = 0
    gtol = 1e-2
    slip_sys_file_name = input_slip_sys.txt
    nss = 12
    num_slip_sys_flowrate_props = 2 #Number of properties in a slip system
    flowprops = '1 4 0.001 0.01 5 8 0.001 0.01 9 12 0.001 0.01'
    hprops = '1.0 541.5 60.8 109.8 2.5'
    gprops = '1 4 60.8 5 8 60.8 9 12 60.8'
    tan_mod_type = exact
    slip_incr_tol = 1
    maximum_substep_iteration = 8
  [../]
  [./elasticity_tensor]
    type = ComputeElasticityTensorCP
    block = 0
    C_ijkl = '1.684e5 1.214e5 1.214e5 1.684e5 1.214e5 1.684e5 0.754e5 0.754e5 0.754e5'
    fill_method = symmetric9
  [../]
  [./strain]
    type = ComputeFiniteStrain
    block = 0
    displacements = 'disp_x disp_y disp_z'
  [../]
[]

[Postprocessors]
  [./stress_zz]
    type = ElementAverageValue
    variable = stress_zz
    block = 'ANY_BLOCK_ID 0'
  [../]
  [./fp_zz]
    type = ElementAverageValue
    variable = fp_zz
    block = 'ANY_BLOCK_ID 0'
  [../]
  [./e_zz]
    type = ElementAverageValue
    variable = e_zz
    block = 'ANY_BLOCK_ID 0'
  [../]
  [./gss1]
    type = ElementAverageValue
    variable = gss1
    block = 'ANY_BLOCK_ID 0'
  [../]
[]

[Preconditioning]
  [./smp]
    type = SMP
    full = true
  [../]
[]

[Executioner]
  type = Transient


  #Preconditioned JFNK (default)
  solve_type = 'PJFNK'

  petsc_options_iname = '-pc_type'
  petsc_options_value = 'lu'

  nl_rel_tol = 1e-10
  nl_abs_tol = 1e-10

  dt = 0.2
  dtmax = 10.0
  dtmin = 0.05

  end_time = 1
[]

[Outputs]
  file_base = crysp_substep_out
  exodus = true
  print_linear_residuals = true
  perf_graph = true
[]

(modules/solid_mechanics/test/tests/multi/two_surface02.i)

# Plasticit models:
# SimpleTester with a = 0 and b = 1 and strength = 1
# SimpleTester with a = 1 and b = 1 and strength = 2
#
# Lame lambda = 0 (Poisson=0).  Lame mu = 0.5E6
#
# A single element is stretched by 1.5E-6m in the y z directions.
# trial stress_zz = 1.5 and stress_yy = 1.5
#
# Then both  SimpleTesters should activate, and the final stress
# should have have stress_zz = 1 = stress_yy (ie, the "corner" point)
# the plastic strain for SimpleTester1 should be zero

[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]


[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
[]

[Kernels]
  [SolidMechanics]
    displacements = 'disp_x disp_y disp_z'
  [../]
[]


[BCs]
  [./x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'front back'
    function = '0E-6*x'
  [../]
  [./y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'front back'
    function = '1.5E-6*y'
  [../]
  [./z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'front back'
    function = '1.5E-6*z'
  [../]
[]

[AuxVariables]
  [./stress_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f0]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f1]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./int0]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./int1]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]

[AuxKernels]
  [./stress_xx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xx
    index_i = 0
    index_j = 0
  [../]
  [./stress_xy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xy
    index_i = 0
    index_j = 1
  [../]
  [./stress_xz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xz
    index_i = 0
    index_j = 2
  [../]
  [./stress_yy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yy
    index_i = 1
    index_j = 1
  [../]
  [./stress_yz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yz
    index_i = 1
    index_j = 2
  [../]
  [./stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zz
    index_i = 2
    index_j = 2
  [../]
  [./f0]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 0
    variable = f0
  [../]
  [./f1]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 1
    variable = f1
  [../]
  [./int0]
    type = MaterialStdVectorAux
    property = plastic_internal_parameter
    factor = 1E6
    index = 0
    variable = int0
  [../]
  [./int1]
    type = MaterialStdVectorAux
    property = plastic_internal_parameter
    factor = 1E6
    index = 1
    variable = int1
  [../]
[]

[Postprocessors]
  [./s_xx]
    type = PointValue
    point = '0 0 0'
    variable = stress_xx
  [../]
  [./s_xy]
    type = PointValue
    point = '0 0 0'
    variable = stress_xy
  [../]
  [./s_xz]
    type = PointValue
    point = '0 0 0'
    variable = stress_xz
  [../]
  [./s_yy]
    type = PointValue
    point = '0 0 0'
    variable = stress_yy
  [../]
  [./s_yz]
    type = PointValue
    point = '0 0 0'
    variable = stress_yz
  [../]
  [./s_zz]
    type = PointValue
    point = '0 0 0'
    variable = stress_zz
  [../]
  [./f0]
    type = PointValue
    point = '0 0 0'
    variable = f0
  [../]
  [./f1]
    type = PointValue
    point = '0 0 0'
    variable = f1
  [../]
  [./int0]
    type = PointValue
    point = '0 0 0'
    variable = int0
  [../]
  [./int1]
    type = PointValue
    point = '0 0 0'
    variable = int1
  [../]
[]

[UserObjects]
  [./simple1]
    type = SolidMechanicsPlasticSimpleTester
    a = 0
    b = 1
    strength = 1
    yield_function_tolerance = 1.0E-9
    internal_constraint_tolerance = 1.0E-9
  [../]
  [./simple2]
    type = SolidMechanicsPlasticSimpleTester
    a = 1
    b = 1
    strength = 2
    yield_function_tolerance = 1.0E-9
    internal_constraint_tolerance = 1.0E-9
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    block = 0
    fill_method = symmetric_isotropic
    C_ijkl = '0 0.5E6'
  [../]
  [./strain]
    type = ComputeFiniteStrain
    block = 0
    displacements = 'disp_x disp_y disp_z'
  [../]
  [./multi]
    type = ComputeMultiPlasticityStress
    block = 0
    ep_plastic_tolerance = 1E-9
    plastic_models = 'simple1 simple2'
    max_NR_iterations = 2
    min_stepsize = 1
    debug_fspb = crash
    debug_jac_at_stress = '10 0 0 0 10 0 0 0 10'
    debug_jac_at_pm = '1 1'
    debug_jac_at_intnl = '1 1'
    debug_stress_change = 1E-5
    debug_pm_change = '1E-6 1E-6'
    debug_intnl_change = '1E-6 1E-6'
  [../]
[]


[Executioner]
  end_time = 1
  dt = 1
  type = Transient
[]


[Outputs]
  file_base = two_surface02
  exodus = false
  [./csv]
    type = CSV
    [../]
[]

(modules/solid_mechanics/test/tests/mohr_coulomb/small_deform4.i)

# apply repeated stretches in z direction, and smaller stretches in the x and y directions
# so that sigma_II = sigma_III,
# which means that lode angle = -30deg.
# The allows yield surface in meridional plane to be mapped out

[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]


[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
[]

[Kernels]
  [SolidMechanics]
    displacements = 'disp_x disp_y disp_z'
  [../]
[]


[BCs]
  [./x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'front back'
    function = '0.25E-6*x*sin(t)'
  [../]
  [./y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'front back'
    function = '0.25E-6*y*sin(t)'
  [../]
  [./z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'front back'
    function = '1E-6*z*t'
  [../]
[]

[AuxVariables]
  [./stress_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./mc_int]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./yield_fcn]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]

[AuxKernels]
  [./stress_xx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xx
    index_i = 0
    index_j = 0
  [../]
  [./stress_xy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xy
    index_i = 0
    index_j = 1
  [../]
  [./stress_xz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xz
    index_i = 0
    index_j = 2
  [../]
  [./stress_yy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yy
    index_i = 1
    index_j = 1
  [../]
  [./stress_yz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yz
    index_i = 1
    index_j = 2
  [../]
  [./stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zz
    index_i = 2
    index_j = 2
  [../]
  [./mc_int_auxk]
    type = MaterialStdVectorAux
    index = 0
    property = plastic_internal_parameter
    variable = mc_int
  [../]
  [./yield_fcn_auxk]
    type = MaterialStdVectorAux
    index = 0
    property = plastic_yield_function
    variable = yield_fcn
  [../]
[]

[Postprocessors]
  [./s_xx]
    type = PointValue
    point = '0 0 0'
    variable = stress_xx
  [../]
  [./s_xy]
    type = PointValue
    point = '0 0 0'
    variable = stress_xy
  [../]
  [./s_xz]
    type = PointValue
    point = '0 0 0'
    variable = stress_xz
  [../]
  [./s_yy]
    type = PointValue
    point = '0 0 0'
    variable = stress_yy
  [../]
  [./s_yz]
    type = PointValue
    point = '0 0 0'
    variable = stress_yz
  [../]
  [./s_zz]
    type = PointValue
    point = '0 0 0'
    variable = stress_zz
  [../]
  [./internal]
    type = PointValue
    point = '0 0 0'
    variable = mc_int
  [../]
  [./f]
    type = PointValue
    point = '0 0 0'
    variable = yield_fcn
  [../]
[]

[UserObjects]
  [./mc_coh]
    type = SolidMechanicsHardeningConstant
    value = 10
  [../]
  [./mc_phi]
    type = SolidMechanicsHardeningConstant
    value = 50
    convert_to_radians = true
  [../]
  [./mc_psi]
    type = SolidMechanicsHardeningExponential
    value_0 = 0
    value_residual = 0.8726646 # 50deg
    rate = 3000.0
  [../]
  [./mc]
    type = SolidMechanicsPlasticMohrCoulomb
    cohesion = mc_coh
    friction_angle = mc_phi
    dilation_angle = mc_psi
    mc_tip_smoother = 4
    mc_edge_smoother = 20
    yield_function_tolerance = 1E-8
    internal_constraint_tolerance = 1E-9
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    block = 0
    fill_method = symmetric_isotropic
    C_ijkl = '0 1E7'
  [../]
  [./strain]
    type = ComputeFiniteStrain
    block = 0
    displacements = 'disp_x disp_y disp_z'
  [../]
  [./mc]
    type = ComputeMultiPlasticityStress
    block = 0
    ep_plastic_tolerance = 1E-9
    plastic_models = mc
    debug_fspb = crash
  [../]
[]


[Executioner]
  end_time = 30
  dt = 1
  type = Transient
[]


[Outputs]
  file_base = small_deform4
  exodus = false
  [./csv]
    type = CSV
    [../]
[]

(modules/solid_mechanics/test/tests/mohr_coulomb/except2.i)

# checking for exception error messages
[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]


[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
[]

[Kernels]
  [SolidMechanics]
    displacements = 'disp_x disp_y disp_z'
  [../]
[]


[BCs]
  [./x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'front back'
    function = '1E-6*x'
  [../]
  [./y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'front back'
    function = '1E-6*y'
  [../]
  [./z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'front back'
    function = '1E-6*z'
  [../]
[]

[AuxVariables]
  [./stress_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]

[AuxKernels]
  [./stress_xx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xx
    index_i = 0
    index_j = 0
  [../]
  [./stress_xy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xy
    index_i = 0
    index_j = 1
  [../]
  [./stress_xz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xz
    index_i = 0
    index_j = 2
  [../]
  [./stress_yy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yy
    index_i = 1
    index_j = 1
  [../]
  [./stress_yz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yz
    index_i = 1
    index_j = 2
  [../]
  [./stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zz
    index_i = 2
    index_j = 2
  [../]
[]

[Postprocessors]
  [./s_xx]
    type = PointValue
    point = '0 0 0'
    variable = stress_xx
  [../]
  [./s_xy]
    type = PointValue
    point = '0 0 0'
    variable = stress_xy
  [../]
  [./s_xz]
    type = PointValue
    point = '0 0 0'
    variable = stress_xz
  [../]
  [./s_yy]
    type = PointValue
    point = '0 0 0'
    variable = stress_yy
  [../]
  [./s_yz]
    type = PointValue
    point = '0 0 0'
    variable = stress_yz
  [../]
  [./s_zz]
    type = PointValue
    point = '0 0 0'
    variable = stress_zz
  [../]
[]

[UserObjects]
  [./mc_coh]
    type = SolidMechanicsHardeningConstant
    value = 10
  [../]
  [./mc_phi]
    type = SolidMechanicsHardeningConstant
    value = 30
    convert_to_radians = true
  [../]
  [./mc_psi]
    type = SolidMechanicsHardeningConstant
    value = 5
    convert_to_radians = true
  [../]
  [./mc]
    type = SolidMechanicsPlasticMohrCoulomb
    cohesion = mc_coh
    friction_angle = mc_phi
    dilation_angle = mc_psi
    mc_tip_smoother = 1
    mc_edge_smoother = 25
    mc_lode_cutoff = -1.0E-6
    yield_function_tolerance = 1E-3
    internal_constraint_tolerance = 1E-9
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    block = 0
    fill_method = symmetric_isotropic
    C_ijkl = '0 1E7'
  [../]
  [./strain]
    type = ComputeFiniteStrain
    block = 0
    displacements = 'disp_x disp_y disp_z'
  [../]
  [./mc]
    type = ComputeMultiPlasticityStress
    block = 0
    ep_plastic_tolerance = 1E-9
    plastic_models = mc
    debug_fspb = crash
    debug_jac_at_stress = '10 0 0 0 10 0 0 0 10'
    debug_jac_at_pm = 1
    debug_jac_at_intnl = 1
    debug_stress_change = 1E-5
    debug_pm_change = 1E-6
    debug_intnl_change = 1E-6
  [../]
[]


[Executioner]
  end_time = 1
  dt = 1
  type = Transient
[]


[Outputs]
  file_base = except2
  exodus = false
  [./csv]
    type = CSV
    [../]
[]

(modules/solid_mechanics/test/tests/capped_drucker_prager/small_deform2_inner_tip.i)

# apply repeated stretches in x, y and z directions, so that mean_stress = 0
# This maps out the yield surface in the octahedral plane for zero mean stress

[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]


[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]

[Physics/SolidMechanics/QuasiStatic]
  [./all]
    add_variables = true
    incremental = true
    generate_output = 'stress_xx stress_xy stress_xz stress_yy stress_yz stress_zz'
  [../]
[]

[BCs]
  [./x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'front back'
    function = '-1.5E-6*x+2E-6*x*sin(t)'
  [../]
  [./y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'front back'
    function = '2E-6*y*sin(2*t)'
  [../]
  [./z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'front back'
    function = '-2E-6*z*(sin(t)+sin(2*t))'
  [../]
[]

[AuxVariables]
  [./yield_fcn]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]

[AuxKernels]
  [./yield_fcn_auxk]
    type = MaterialStdVectorAux
    index = 0
    property = plastic_yield_function
    variable = yield_fcn
  [../]
[]

[Postprocessors]
  [./s_xx]
    type = PointValue
    point = '0 0 0'
    variable = stress_xx
  [../]
  [./s_xy]
    type = PointValue
    point = '0 0 0'
    variable = stress_xy
  [../]
  [./s_xz]
    type = PointValue
    point = '0 0 0'
    variable = stress_xz
  [../]
  [./s_yy]
    type = PointValue
    point = '0 0 0'
    variable = stress_yy
  [../]
  [./s_yz]
    type = PointValue
    point = '0 0 0'
    variable = stress_yz
  [../]
  [./s_zz]
    type = PointValue
    point = '0 0 0'
    variable = stress_zz
  [../]
  [./f]
    type = PointValue
    point = '0 0 0'
    variable = yield_fcn
  [../]
  [./f0]
    type = PointValue
    point = '0 0 0'
    variable = yield_fcn
  [../]
  [./f1]
    type = PointValue
    point = '0 0 0'
    variable = yield_fcn
  [../]
[]

[UserObjects]
  [./ts]
    type = SolidMechanicsHardeningConstant
    value = 1000
  [../]
  [./cs]
    type = SolidMechanicsHardeningConstant
    value = 1000
  [../]
  [./mc_coh]
    type = SolidMechanicsHardeningConstant
    value = 10
  [../]
  [./mc_phi]
    type = SolidMechanicsHardeningConstant
    value = 20
    convert_to_radians = true
  [../]
  [./mc_psi]
    type = SolidMechanicsHardeningConstant
    value = 0
  [../]
  [./dp]
    type = SolidMechanicsPlasticDruckerPrager
    mc_cohesion = mc_coh
    mc_friction_angle = mc_phi
    mc_dilation_angle = mc_psi
    mc_interpolation_scheme = inner_tip
    internal_constraint_tolerance = 1 # irrelevant here
    yield_function_tolerance = 1      # irrelevant here
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    block = 0
    fill_method = symmetric_isotropic
    C_ijkl = '0 1E7'
  [../]
  [./admissible]
    type = ComputeMultipleInelasticStress
    inelastic_models = cdp
    perform_finite_strain_rotations = false
  [../]
  [./cdp]
    type = CappedDruckerPragerStressUpdate
    DP_model = dp
    tensile_strength = ts
    compressive_strength = cs
    yield_function_tol = 1E-8
    tip_smoother = 4
    smoothing_tol = 1E-5
  [../]
[]


[Executioner]
  end_time = 100
  dt = 1
  type = Transient
[]


[Outputs]
  file_base = small_deform2_inner_tip
  exodus = false
  [./csv]
    type = CSV
  [../]
[]

(modules/solid_mechanics/test/tests/multi/four_surface14.i)

# Plasticit models:
# SimpleTester0 with a = 0 and b = 1 and strength = 1
# SimpleTester1 with a = 1 and b = 0 and strength = 1
# SimpleTester2 with a = 1 and b = 1 and strength = 3
# SimpleTester3 with a = 0 and b = 1 and strength = 1.1
#
# Lame lambda = 0 (Poisson=0).  Lame mu = 0.5E6
#
# A single element is stretched by 2.1E-6m in y direction and 3E-6 in z direction.
# trial stress_yy = 2.1 and stress_zz = 3.0
#
# This is similar to three_surface14.i, and a description is found there.
# The result should be stress_zz=1=stress_yy, with internal0=2
# and internal1=1.1

[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]


[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
[]

[Kernels]
  [SolidMechanics]
    displacements = 'disp_x disp_y disp_z'
  [../]
[]


[BCs]
  [./x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'front back'
    function = '0E-6*x'
  [../]
  [./y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'front back'
    function = '2.1E-6*y'
  [../]
  [./z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'front back'
    function = '3.0E-6*z'
  [../]
[]

[AuxVariables]
  [./stress_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f0]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f1]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f2]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f3]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./int0]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./int1]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./int2]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./int3]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]

[AuxKernels]
  [./stress_xx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xx
    index_i = 0
    index_j = 0
  [../]
  [./stress_xy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xy
    index_i = 0
    index_j = 1
  [../]
  [./stress_xz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xz
    index_i = 0
    index_j = 2
  [../]
  [./stress_yy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yy
    index_i = 1
    index_j = 1
  [../]
  [./stress_yz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yz
    index_i = 1
    index_j = 2
  [../]
  [./stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zz
    index_i = 2
    index_j = 2
  [../]
  [./f0]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 0
    variable = f0
  [../]
  [./f1]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 1
    variable = f1
  [../]
  [./f2]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 2
    variable = f2
  [../]
  [./f3]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 3
    variable = f3
  [../]
  [./int0]
    type = MaterialStdVectorAux
    property = plastic_internal_parameter
    factor = 1E6
    index = 0
    variable = int0
  [../]
  [./int1]
    type = MaterialStdVectorAux
    property = plastic_internal_parameter
    factor = 1E6
    index = 1
    variable = int1
  [../]
  [./int2]
    type = MaterialStdVectorAux
    property = plastic_internal_parameter
    factor = 1E6
    index = 2
    variable = int2
  [../]
  [./int3]
    type = MaterialStdVectorAux
    property = plastic_internal_parameter
    factor = 1E6
    index = 3
    variable = int3
  [../]
[]

[Postprocessors]
  [./s_xx]
    type = PointValue
    point = '0 0 0'
    variable = stress_xx
  [../]
  [./s_xy]
    type = PointValue
    point = '0 0 0'
    variable = stress_xy
  [../]
  [./s_xz]
    type = PointValue
    point = '0 0 0'
    variable = stress_xz
  [../]
  [./s_yy]
    type = PointValue
    point = '0 0 0'
    variable = stress_yy
  [../]
  [./s_yz]
    type = PointValue
    point = '0 0 0'
    variable = stress_yz
  [../]
  [./s_zz]
    type = PointValue
    point = '0 0 0'
    variable = stress_zz
  [../]
  [./f0]
    type = PointValue
    point = '0 0 0'
    variable = f0
  [../]
  [./f1]
    type = PointValue
    point = '0 0 0'
    variable = f1
  [../]
  [./f2]
    type = PointValue
    point = '0 0 0'
    variable = f2
  [../]
  [./f3]
    type = PointValue
    point = '0 0 0'
    variable = f3
  [../]
  [./int0]
    type = PointValue
    point = '0 0 0'
    variable = int0
  [../]
  [./int1]
    type = PointValue
    point = '0 0 0'
    variable = int1
  [../]
  [./int2]
    type = PointValue
    point = '0 0 0'
    variable = int2
  [../]
  [./int3]
    type = PointValue
    point = '0 0 0'
    variable = int3
  [../]
[]

[UserObjects]
  [./simple0]
    type = SolidMechanicsPlasticSimpleTester
    a = 0
    b = 1
    strength = 1
    yield_function_tolerance = 1.0E-6
    internal_constraint_tolerance = 1.0E-6
  [../]
  [./simple1]
    type = SolidMechanicsPlasticSimpleTester
    a = 1
    b = 0
    strength = 1
    yield_function_tolerance = 1.0E-6
    internal_constraint_tolerance = 1.0E-6
  [../]
  [./simple2]
    type = SolidMechanicsPlasticSimpleTester
    a = 1
    b = 1
    strength = 3
    yield_function_tolerance = 1.0E-6
    internal_constraint_tolerance = 1.0E-6
  [../]
  [./simple3]
    type = SolidMechanicsPlasticSimpleTester
    a = 0
    b = 1
    strength = 1.1
    yield_function_tolerance = 1.0E-6
    internal_constraint_tolerance = 1.0E-6
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    block = 0
    fill_method = symmetric_isotropic
    C_ijkl = '0 0.5E6'
  [../]
  [./strain]
    type = ComputeFiniteStrain
    block = 0
    displacements = 'disp_x disp_y disp_z'
  [../]
  [./multi]
    type = ComputeMultiPlasticityStress
    block = 0
    ep_plastic_tolerance = 1E-9
    plastic_models = 'simple0 simple1 simple2 simple3'
    max_NR_iterations = 4
    min_stepsize = 1
    debug_fspb = crash
    debug_jac_at_stress = '10 0 0 0 10 0 0 0 10'
    debug_jac_at_pm = '1 1 1'
    debug_jac_at_intnl = '1 1 1'
    debug_stress_change = 1E-5
    debug_pm_change = '1E-6 1E-6 1E-6'
    debug_intnl_change = '1E-6 1E-6 1E-6'
  [../]
[]


[Executioner]
  end_time = 1
  dt = 1
  type = Transient
[]


[Outputs]
  file_base = four_surface14
  exodus = false
  [./csv]
    type = CSV
    [../]
[]

(test/tests/materials/output/output_steady.i)

[Mesh]
  type = GeneratedMesh
  dim = 2
  nx = 10
  ny = 10
[]

[Variables]
  [u]
  []
[]

[Functions]
  [bc_func]
    type = ParsedFunction
    expression = 0.5*y
  []
[]

[Kernels]
  [diff]
    type = CoefDiffusion
    variable = u
    block = 0
    coef = 0.1
  []
[]

[BCs]
  [left]
    type = FunctionDirichletBC
    variable = u
    boundary = left
    function = bc_func
  []
  [right]
    type = DirichletBC
    variable = u
    boundary = right
    value = 1
  []
[]

[Materials]
  [k]
    type = OutputTestMaterial
    block = 0
    outputs = all
    variable = u
    output_properties = 'real_property vector_property tensor_property'
  []
[]

[Executioner]
  type = Steady
  solve_type = PJFNK
  petsc_options_iname = '-pc_type -pc_hypre_type'
  petsc_options_value = 'hypre boomeramg'
[]

[Outputs]
  exodus = true
[]

(test/tests/predictors/simple/predictor_test_pre_smo.i)

# The purpose of this test is to test the simple predictor.  This is a very
# small, monotonically loaded block of material.  If things are working right,
# the predictor should come very close to exactly nailing the solution on steps
# after the first step.

# The main thing to check here is that when the predictor is applied in the
# second step, the initial residual is almost zero.

[Mesh]
  type = GeneratedMesh
  dim = 2
  xmin = 0
  xmax = 1
  ymin = 0
  ymax = 1
  nx = 3
  ny = 3
[]

[Functions]
  [ramp1]
    type = ParsedFunction
    expression = 't'
  []
[]

[Variables]
  [u]
    order = FIRST
    family = LAGRANGE
  []
[]

[Kernels]
  [diff_u]
    type = Diffusion
    variable = u
  []
[]

[BCs]
  [bot]
    type = DirichletBC
    variable = u
    boundary = bottom
    value = 0.0
  []
  [ss2_x]
    type = FunctionDirichletBC
    variable = u
    boundary = top
    function = ramp1
  []
[]

[Executioner]
  type = Transient
  solve_type = 'PJFNK'

  nl_max_its = 15
  nl_rel_tol = 1e-14
  nl_abs_tol = 1e-14

  start_time = 0.0
  dt = 0.5
  end_time = 1.0

  [Predictor]
    type = SimplePredictor
    scale = 1.0
  []

  use_pre_SMO_residual = true
[]

[Postprocessors]
  [final_residual]
    type = Residual
    residual_type = FINAL
  []
  [pre_smo_residual]
    type = Residual
    residual_type = PRE_SMO
  []
  [initial_residual]
    type = Residual
    residual_type = INITIAL
  []
[]

[Outputs]
  csv = true
[]

(modules/solid_mechanics/test/tests/mohr_coulomb/small_deform_hard1.i)

# apply uniform stretches in x, y and z directions.
# let mc_cohesion = 10, mc_cohesion_residual = 2, mc_cohesion_rate =
# With cohesion = C, friction_angle = 60deg, tip_smoother = 4, the
# algorithm should return to
# sigma_m = (C*Cos(60) - 4)/Sin(60)
# This allows checking of the relationship for C

[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]


[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
[]

[Kernels]
  [SolidMechanics]
    displacements = 'disp_x disp_y disp_z'
  [../]
[]


[BCs]
  [./x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'front back'
    function = '1E-6*x*t'
  [../]
  [./y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'front back'
    function = '1E-6*y*t'
  [../]
  [./z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'front back'
    function = '1E-6*z*t'
  [../]
[]

[AuxVariables]
  [./stress_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./mc_int]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./yield_fcn]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]

[AuxKernels]
  [./stress_xx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xx
    index_i = 0
    index_j = 0
  [../]
  [./stress_xy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xy
    index_i = 0
    index_j = 1
  [../]
  [./stress_xz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xz
    index_i = 0
    index_j = 2
  [../]
  [./stress_yy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yy
    index_i = 1
    index_j = 1
  [../]
  [./stress_yz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yz
    index_i = 1
    index_j = 2
  [../]
  [./stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zz
    index_i = 2
    index_j = 2
  [../]
  [./mc_int_auxk]
    type = MaterialStdVectorAux
    index = 0
    property = plastic_internal_parameter
    variable = mc_int
  [../]
  [./yield_fcn_auxk]
    type = MaterialStdVectorAux
    index = 0
    property = plastic_yield_function
    variable = yield_fcn
  [../]
[]

[Postprocessors]
  [./s_xx]
    type = PointValue
    point = '0 0 0'
    variable = stress_xx
  [../]
  [./s_xy]
    type = PointValue
    point = '0 0 0'
    variable = stress_xy
  [../]
  [./s_xz]
    type = PointValue
    point = '0 0 0'
    variable = stress_xz
  [../]
  [./s_yy]
    type = PointValue
    point = '0 0 0'
    variable = stress_yy
  [../]
  [./s_yz]
    type = PointValue
    point = '0 0 0'
    variable = stress_yz
  [../]
  [./s_zz]
    type = PointValue
    point = '0 0 0'
    variable = stress_zz
  [../]
  [./internal]
    type = PointValue
    point = '0 0 0'
    variable = mc_int
  [../]
  [./f]
    type = PointValue
    point = '0 0 0'
    variable = yield_fcn
  [../]
[]

[UserObjects]
  [./mc_coh]
    type = SolidMechanicsHardeningExponential
    value_0 = 10
    value_residual = 2
    rate = 1E4
  [../]
  [./mc_phi]
    type = SolidMechanicsHardeningConstant
    value = 60
    convert_to_radians = true
  [../]
  [./mc_psi]
    type = SolidMechanicsHardeningConstant
    value = 5
    convert_to_radians = true
  [../]
  [./mc]
    type = SolidMechanicsPlasticMohrCoulomb
    cohesion = mc_coh
    friction_angle = mc_phi
    dilation_angle = mc_psi
    mc_tip_smoother = 4
    mc_edge_smoother = 25
    yield_function_tolerance = 1E-3
    internal_constraint_tolerance = 1E-9
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    block = 0
    fill_method = symmetric_isotropic
    C_ijkl = '0 1E7'
  [../]
  [./strain]
    type = ComputeFiniteStrain
    block = 0
    displacements = 'disp_x disp_y disp_z'
  [../]
  [./mc]
    type = ComputeMultiPlasticityStress
    block = 0
    ep_plastic_tolerance = 1E-9
    plastic_models = mc
    debug_fspb = crash
    debug_jac_at_stress = '10 1 2 1 10 3 2 3 10'
    debug_jac_at_pm = 1
    debug_jac_at_intnl = 1E-4
    debug_stress_change = 1E-5
    debug_pm_change = 1E-6
    debug_intnl_change = 1E-8
  [../]
[]


[Executioner]
  end_time = 10
  dt = 1
  type = Transient
[]


[Outputs]
  file_base = small_deform_hard1
  exodus = false
  [./csv]
    type = CSV
    [../]
[]

(test/tests/outputs/sampled_output/over_sampling_test_gen.i)

[Mesh]
  type = GeneratedMesh
  dim = 2
  xmin = -1
  xmax = 1
  ymin = -1
  ymax = 1
  nx = 3
  ny = 3
[]

[Functions]
  [./exact_fn]
    type = ParsedFunction
    expression = t*((x*x)+(y*y))
  [../]

  [./forcing_fn]
    type = ParsedFunction
    expression = -4+(x*x+y*y)
  [../]
[]

[Variables]
  active = 'u'

  [./u]
    order = THIRD
    family = HERMITE
  [../]
[]

[Kernels]
  active = 'ie diff ffn'

  [./ie]
    type = TimeDerivative
    variable = u
  [../]

  [./diff]
    type = Diffusion
    variable = u
  [../]

  [./ffn]
    type = BodyForce
    variable = u
    function = forcing_fn
  [../]
[]

[BCs]
  [./all]
    type = FunctionDirichletBC
    variable = u
    boundary = '0 1 2 3'
    function = exact_fn
  [../]
[]

[Postprocessors]
  [./dt]
    type = TimestepSize
  [../]
[]

[Executioner]
  type = Transient

  solve_type = 'PJFNK'

  dt = 0.2
  start_time = 0
  num_steps = 5
[]

[Outputs]
  file_base = out_gen
  exodus = true
  [./oversampling]
    file_base = out_gen_oversample
    type = Exodus
    refinements = 3
  [../]
[]

(modules/porous_flow/test/tests/hysteresis/hys_pc_01.i)

# Capillary-pressure calculation.  Primary drying curve with low_extension_type = none
# When comparing the results with a by-hand computation, remember the MOOSE results are averaged over an element
[Mesh]
  [mesh]
    type = GeneratedMeshGenerator
    dim = 1
    xmin = 0
    xmax = 1
    nx = 100
  []
[]

[GlobalParams]
  PorousFlowDictator = dictator
[]

[UserObjects]
  [dictator]
    type = PorousFlowDictator
    number_fluid_phases = 1
    number_fluid_components = 1
    porous_flow_vars = ''
  []
[]

[Variables]
  [sat]
  []
[]

[ICs]
  [sat]
    type = FunctionIC
    variable = sat
    function = 'x'
  []
[]

[BCs]
  [sat]
    type = FunctionDirichletBC
    variable = sat
    function = 'x'
    boundary = 'left right'
  []
[]


[Kernels]
  [dummy]
    type = Diffusion
    variable = sat
  []
[]

[Materials]
  [hys_order]
    type = PorousFlowHysteresisOrder
  []
  [pc_calculator]
    type = PorousFlowHystereticInfo
    alpha_d = 10.0
    alpha_w = 10.0
    n_d = 1.5
    n_w = 1.9
    S_l_min = 0.1
    S_lr = 0.2
    S_gr_max = 0.3
    Pc_max = 12.0
    low_extension_type = none
    sat_var = sat
  []
[]

[AuxVariables]
  [hys_order]
    family = MONOMIAL
    order = CONSTANT
  []
  [pc]
    family = MONOMIAL
    order = CONSTANT
  []
[]

[AuxKernels]
  [hys_order]
    type = PorousFlowPropertyAux
    variable = hys_order
    property = hysteresis_order
  []
  [pc]
    type = PorousFlowPropertyAux
    variable = pc
    property = hysteretic_info
  []
[]

[VectorPostprocessors]
  [pc]
    type = LineValueSampler
    warn_discontinuous_face_values = false
    start_point = '0 0 0'
    end_point = '1 0 0'
    num_points = 10
    sort_by = x
    variable = 'sat pc'
  []
[]

[Executioner]
  type = Transient
  solve_type = Linear
  dt = 1
  end_time = 1
[]

[Outputs]
  csv = true
[]

(modules/combined/test/tests/elastic_patch/ad_elastic_patch_plane_strain.i)

#
# This problem is taken from the Abaqus verification manual:
#   "1.5.1 Membrane patch test"
# The stress solution is given as:
#   xx = yy = 1600
#   zz = 800
#   xy = 400
#   yz = zx = 0
#
# Since the strain is 1e-3 in both directions, the new density should be
#   new_density = original_density * V_0 / V
#   new_density = 0.283 / (1 + 1e-3 + 1e-3) = 0.282435

[GlobalParams]
  displacements = 'disp_x disp_y'
  temperature = temp
[]

[Mesh]
  file = elastic_patch_rz.e
[]

[Variables]
  [temp]
    initial_condition = 117.56
  []
[]

[Physics/SolidMechanics/QuasiStatic/All]
  strain = SMALL
  incremental = true
  planar_formulation = PLANE_STRAIN
  add_variables = true
  generate_output = 'stress_xx stress_yy stress_zz stress_xy stress_yz stress_zx'
[]

[Kernels]
  [heat]
    type = TimeDerivative
    variable = temp
  []
[]

[BCs]
  [ur]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 10
    function = '1e-3*(x+0.5*y)'
  []
  [uz]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 10
    function = '1e-3*(y+0.5*x)'
  []
[]

[Materials]
  [elasticity_tensor]
    type = ComputeIsotropicElasticityTensor
    youngs_modulus = 1e6
    poissons_ratio = 0.25
  []
  [stress]
    type = ComputeStrainIncrementBasedStress
  []
[]

[Materials]
  [density]
    type = ADDensity
    density = 0.283
    outputs = all
  []
[]

[Executioner]
  type = Transient
  solve_type = 'PJFNK'

  end_time = 1.0
[]

[Outputs]
  exodus = true
[]

(modules/solid_mechanics/test/tests/crystal_plasticity/user_object_based/user_object_Voce_BCC.i)

[Mesh]
  type = GeneratedMesh
  dim = 2
  elem_type = QUAD4
  displacements = 'disp_x disp_y'
  nx = 2
  ny = 2
[]

[GlobalParams]
  volumetric_locking_correction = true
[]

[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
[]

[Kernels]
  [SolidMechanics]
    displacements = 'disp_x disp_y'
    use_displaced_mesh = true
  [../]
[]

[AuxVariables]
  [./stress_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./e_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./fp_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./gss]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]

[Functions]
  [./tdisp]
    type = ParsedFunction
    expression = 0.01*t
  [../]
[]

[UserObjects]
  [./prop_read]
    type = PropertyReadFile
    prop_file_name = 'euler_ang_file.txt'
    # Enter file data as prop#1, prop#2, .., prop#nprop
    nprop = 3
    read_type = element
  [../]
[]

[AuxKernels]
  [./stress_yy]
    type = RankTwoAux
    variable = stress_yy
    rank_two_tensor = stress
    index_j = 1
    index_i = 1
    execute_on = timestep_end
  [../]
  [./e_yy]
    type = RankTwoAux
    variable = e_yy
    rank_two_tensor = lage
    index_j = 1
    index_i = 1
    execute_on = timestep_end
  [../]
  [./fp_yy]
    type = RankTwoAux
    variable = fp_yy
    rank_two_tensor = fp
    index_j = 1
    index_i = 1
    execute_on = timestep_end
  [../]
  [./gss]
    type = MaterialStdVectorAux
    variable = gss
    property = state_var_gss
    index = 0
    execute_on = timestep_end
  [../]
[]

[BCs]
  [./fix_x]
    type = DirichletBC
    variable = disp_x
    boundary = 'left'
    value = 0
  [../]
  [./fix_y]
    type = DirichletBC
    variable = disp_y
    boundary = 'bottom'
    value = 0
  [../]
  [./tdisp]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = top
    function = tdisp
  [../]
[]

[UserObjects]
  [./slip_rate_gss]
    type = CrystalPlasticitySlipRateGSS
    variable_size = 48
    slip_sys_file_name = input_slip_sys_bcc48.txt
    num_slip_sys_flowrate_props = 2
    flowprops = '1 12 0.001 0.1 13 24 0.001 0.1 25 48 0.001 0.1'
    uo_state_var_name = state_var_gss
  [../]
  [./slip_resistance_gss]
    type = CrystalPlasticitySlipResistanceGSS
    variable_size = 48
    uo_state_var_name = state_var_gss
  [../]
  [./state_var_gss]
    type = CrystalPlasticityStateVariable
    variable_size = 48
    groups = '0 12 24 48'
    group_values =  '50 51 52'
    uo_state_var_evol_rate_comp_name = state_var_evol_rate_comp_voce
    scale_factor = 1.0
  [../]
  [./state_var_evol_rate_comp_voce]
    type = CrystalPlasticityStateVarRateComponentVoce
    variable_size = 48
    crystal_lattice_type = 'BCC'
    groups = '0 12 24 48'
    h0_group_values = '1 2 3'
    tau0_group_values = '50 51 52'
    tauSat_group_values = '70 81 92'
    hardeningExponent_group_values = '1 2 3'
    selfHardening_group_values ='4 5 6'
    coplanarHardening_group_values='7 8 9'
    GroupGroup_Hardening_group_values = '10 20 30
                                         40 50 60
                                         70 80 90'
    uo_slip_rate_name = slip_rate_gss
    uo_state_var_name = state_var_gss
  [../]
[]

[Materials]
  [./crysp]
    type = FiniteStrainUObasedCP
    stol = 1e-2
    tan_mod_type = exact
    uo_slip_rates = 'slip_rate_gss'
    uo_slip_resistances = 'slip_resistance_gss'
    uo_state_vars = 'state_var_gss'
    uo_state_var_evol_rate_comps = 'state_var_evol_rate_comp_voce'
  [../]
  [./strain]
    type = ComputeFiniteStrain
    displacements = 'disp_x disp_y'
  [../]
  [./elasticity_tensor]
    type = ComputeElasticityTensorCP
    C_ijkl = '1.684e5 1.214e5 1.214e5 1.684e5 1.214e5 1.684e5 0.754e5 0.754e5 0.754e5'
    fill_method = symmetric9
    read_prop_user_object = prop_read
  [../]
[]

[Postprocessors]
  [./stress_yy]
    type = ElementAverageValue
    variable = stress_yy
  [../]
  [./e_yy]
    type = ElementAverageValue
    variable = e_yy
  [../]
  [./fp_yy]
    type = ElementAverageValue
    variable = fp_yy
  [../]
  [./gss]
    type = ElementAverageValue
    variable = gss
  [../]
[]

[Preconditioning]
  [./smp]
    type = SMP
    full = true
  [../]
[]

[Executioner]
  type = Transient
  dt = 0.01
  solve_type = 'PJFNK'

  petsc_options_iname = -pc_hypre_type
  petsc_options_value = boomerang
  nl_abs_tol = 1e-10
  nl_rel_step_tol = 1e-10
  dtmax = 10.0
  nl_rel_tol = 1e-10
  end_time = 1
  dtmin = 0.01
  num_steps = 10
  nl_abs_step_tol = 1e-10
[]

[Outputs]
  exodus = true
[]

(modules/solid_mechanics/test/tests/lagrangian/cartesian/total/action/action_1D.i)

# Simple 1D plane strain test

[GlobalParams]
  displacements = 'disp_x'
  large_kinematics = true
[]

[Variables]
  [disp_x]
  []
[]

[Mesh]
  [msh]
    type = GeneratedMeshGenerator
    dim = 1
    nx = 10
  []
[]

[Physics]
  [SolidMechanics]
    [QuasiStatic]
      [all]
        strain = FINITE
        add_variables = true
        new_system = true
        formulation = TOTAL
        volumetric_locking_correction = false
      []
    []
  []
[]

[Functions]
  [pull]
    type = ParsedFunction
    expression = '0.06 * t'
  []
[]

[BCs]
  [leftx]
    type = DirichletBC
    preset = true
    boundary = right
    variable = disp_x
    value = 0.0
  []
  [pull]
    type = FunctionDirichletBC
    boundary = left
    variable = disp_x
    function = pull
    preset = true
  []
[]

[Materials]
  [elastic_tensor]
    type = ComputeIsotropicElasticityTensor
    youngs_modulus = 100000.0
    poissons_ratio = 0.3
  []
  [stress_base]
    type = ComputeLagrangianLinearElasticStress
  []
[]

[Preconditioning]
  [smp]
    type = SMP
    full = true
  []
[]

[Executioner]
  type = Transient

  solve_type = 'newton'
  line_search = none

  petsc_options_iname = '-pc_type'
  petsc_options_value = 'lu'

  l_max_its = 2
  l_tol = 1e-14
  nl_max_its = 15
  nl_rel_tol = 1e-8
  nl_abs_tol = 1e-10

  start_time = 0.0
  dt = 1.0
  dtmin = 1.0
  end_time = 5.0
[]

[Outputs]
  exodus = true
[]

(modules/solid_mechanics/test/tests/mohr_coulomb/many_deforms_cap.i)

# apply many large deformations, checking that the algorithm returns correctly to
# the yield surface each time


[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]


[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
[]

[Kernels]
  [SolidMechanics]
    displacements = 'disp_x disp_y disp_z'
  [../]
[]


[BCs]
  [./bottomx]
    type = DirichletBC
    variable = disp_x
    boundary = back
    value = 0.0
  [../]
  [./bottomy]
    type = DirichletBC
    variable = disp_y
    boundary = back
    value = 0.0
  [../]
  [./bottomz]
    type = DirichletBC
    variable = disp_z
    boundary = back
    value = 0.0
  [../]

  [./topx]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = front
    function = '(sin(0.05*t)+x)/1E0'
  [../]
  [./topy]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = front
    function = '(cos(0.04*t)+x*y)/1E0'
  [../]
  [./topz]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = front
    function = 't/1E2'
  [../]
[]

[AuxVariables]
  [./yield_fcn]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]

[AuxKernels]
  [./yield_fcn_auxk]
    type = MaterialStdVectorAux
    index = 0
    property = plastic_yield_function
    variable = yield_fcn
  [../]
[]

[Postprocessors]
  [./yield_fcn_at_zero]
    type = PointValue
    point = '0 0 0'
    variable = yield_fcn
    outputs = 'console'
  [../]
  [./should_be_zero]
    type = FunctionValuePostprocessor
    function = should_be_zero_fcn
  [../]
[]

[Functions]
  [./should_be_zero_fcn]
    type = ParsedFunction
    expression = 'if(a<1E-3,0,a)'
    symbol_names = 'a'
    symbol_values = 'yield_fcn_at_zero'
  [../]
[]

[UserObjects]
  [./mc_coh]
    type = SolidMechanicsHardeningConstant
    value = 1E3
  [../]
  [./mc_phi]
    type = SolidMechanicsHardeningConstant
    value = 30
    convert_to_radians = true
  [../]
  [./mc_psi]
    type = SolidMechanicsHardeningConstant
    value = 5
    convert_to_radians = true
  [../]
  [./mc]
    type = SolidMechanicsPlasticMohrCoulomb
    cohesion = mc_coh
    friction_angle = mc_phi
    dilation_angle = mc_psi
    tip_scheme = cap
    mc_tip_smoother = 0.0
    cap_start = 1000
    cap_rate = 1E-3
    mc_edge_smoother = 10
    yield_function_tolerance = 1E-3
    internal_constraint_tolerance = 1E-6
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    block = 0
    fill_method = symmetric_isotropic
    C_ijkl = '0 1E7'
  [../]
  [./strain]
    type = ComputeFiniteStrain
    block = 0
    displacements = 'disp_x disp_y disp_z'
  [../]
  [./mc]
    type = ComputeMultiPlasticityStress
    block = 0
    max_NR_iterations = 1000
    ep_plastic_tolerance = 1E-6
    plastic_models = mc
    debug_fspb = crash
    deactivation_scheme = safe
  [../]
[]


[Executioner]
  end_time = 1000
  dt = 1
  type = Transient
[]


[Outputs]
  file_base = many_deforms_cap
  exodus = false
  [./csv]
    type = CSV
    [../]
[]

(modules/solid_mechanics/test/tests/lagrangian/cartesian/updated/special/rotate.i)

# Simple 3D test

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
  large_kinematics = true
[]

[Variables]
  [disp_x]
  []
  [disp_y]
  []
  [disp_z]
  []
[]

[Mesh]
  [msh]
    type = GeneratedMeshGenerator
    dim = 3
    nx = 1
    ny = 1
    nz = 1
    xmin = -0.5
    xmax = 0.5
    ymin = -0.5
    ymax = 0.5
    zmin = -0.5
    zmax = 0.5
  []
[]

[Kernels]
  [sdx]
    type = UpdatedLagrangianStressDivergence
    variable = disp_x
    component = 0
    use_displaced_mesh = true
  []
  [sdy]
    type = UpdatedLagrangianStressDivergence
    variable = disp_y
    component = 1
    use_displaced_mesh = true
  []
  [sdz]
    type = UpdatedLagrangianStressDivergence
    variable = disp_z
    component = 2
    use_displaced_mesh = true
  []
[]

[AuxVariables]
  [stress_xx]
    order = CONSTANT
    family = MONOMIAL
  []
  [stress_yy]
    order = CONSTANT
    family = MONOMIAL
  []
  [stress_zz]
    order = CONSTANT
    family = MONOMIAL
  []
  [stress_xy]
    order = CONSTANT
    family = MONOMIAL
  []
  [stress_yz]
    order = CONSTANT
    family = MONOMIAL
  []
  [stress_xz]
    order = CONSTANT
    family = MONOMIAL
  []
[]

[Functions]
  [angles]
    type = PiecewiseLinear
    x = '0 1 2'
    y = '0 0 1.5707963'
  []

  [stretch]
    type = PiecewiseLinear
    x = '0 1 2'
    y = '0 0.1 0.1'
  []

  [move_y]
    type = ParsedFunction
    expression = 'y*cos(theta) - z * (1 + a)*sin(theta) - y'
    symbol_names = 'a theta'
    symbol_values = 'stretch angles'
  []

  [move_z]
    type = ParsedFunction
    expression = 'y*sin(theta) + z*(1+a)*cos(theta) - z'
    symbol_names = 'a theta'
    symbol_values = 'stretch angles'
  []

  [dts]
    type = PiecewiseConstant
    x = '0 1 2'
    y = '0.1 0.001 0.001'
    direction = 'LEFT_INCLUSIVE'
  []
[]

[BCs]
  [fix]
    type = DirichletBC
    preset = true
    value = 0.0
    boundary = left
    variable = disp_x
  []

  [front_y]
    type = FunctionDirichletBC
    boundary = front
    variable = disp_y
    function = move_y
    preset = true
  []

  [back_y]
    type = FunctionDirichletBC
    boundary = back
    variable = disp_y
    function = move_y
    preset = true
  []

  [front_z]
    type = FunctionDirichletBC
    boundary = front
    variable = disp_z
    function = move_z
    preset = true
  []

  [back_z]
    type = FunctionDirichletBC
    boundary = back
    variable = disp_z
    function = move_z
    preset = true
  []

[]

[AuxKernels]
  [stress_xx]
    type = RankTwoAux
    rank_two_tensor = cauchy_stress
    variable = stress_xx
    index_i = 0
    index_j = 0
    execute_on = timestep_end
  []
  [stress_yy]
    type = RankTwoAux
    rank_two_tensor = cauchy_stress
    variable = stress_yy
    index_i = 1
    index_j = 1
    execute_on = timestep_end
  []
  [stress_zz]
    type = RankTwoAux
    rank_two_tensor = cauchy_stress
    variable = stress_zz
    index_i = 2
    index_j = 2
    execute_on = timestep_end
  []
  [stress_xy]
    type = RankTwoAux
    rank_two_tensor = cauchy_stress
    variable = stress_xy
    index_i = 0
    index_j = 1
    execute_on = timestep_end
  []
  [stress_xz]
    type = RankTwoAux
    rank_two_tensor = cauchy_stress
    variable = stress_xz
    index_i = 0
    index_j = 2
    execute_on = timestep_end
  []
  [stress_yz]
    type = RankTwoAux
    rank_two_tensor = cauchy_stress
    variable = stress_yz
    index_i = 1
    index_j = 2
    execute_on = timestep_end
  []
[]

[Materials]
  [elastic_tensor]
    type = ComputeIsotropicElasticityTensor
    youngs_modulus = 1000.0
    poissons_ratio = 0.25
  []
  [compute_stress]
    type = ComputeLagrangianLinearElasticStress
  []
  [compute_strain]
    type = ComputeLagrangianStrain
  []
[]

[Preconditioning]
  [smp]
    type = SMP
    full = true
  []
[]

[Postprocessors]
  [sxx]
    type = ElementAverageValue
    variable = stress_xx
  []
  [syy]
    type = ElementAverageValue
    variable = stress_yy
  []
  [szz]
    type = ElementAverageValue
    variable = stress_zz
  []
  [syz]
    type = ElementAverageValue
    variable = stress_yz
  []
  [sxz]
    type = ElementAverageValue
    variable = stress_xz
  []
  [sxy]
    type = ElementAverageValue
    variable = stress_xy
  []
[]

[Executioner]
  type = Transient

  solve_type = 'newton'
  line_search = none

  petsc_options_iname = '-pc_type'
  petsc_options_value = 'lu'

  l_max_its = 2
  l_tol = 1e-14
  nl_max_its = 15
  nl_rel_tol = 1e-4
  nl_abs_tol = 1e-6

  start_time = 0.0
  end_time = 2.0
  [TimeStepper]
    type = FunctionDT
    function = dts
    interpolate = False
  []
[]

[Outputs]
  exodus = true
  csv = true
[]

(modules/contact/test/tests/pdass_problems/cylinder_friction_penalty_frictional_al_tight_slip.i)

[GlobalParams]
  volumetric_locking_correction = true
  displacements = 'disp_x disp_y'
[]

[Mesh]
  [input_file]
    type = FileMeshGenerator
    file = hertz_cyl_finer.e
  []
  [secondary]
    type = LowerDBlockFromSidesetGenerator
    new_block_id = 10001
    new_block_name = 'secondary_lower'
    sidesets = '3'
    input = input_file
  []
  [primary]
    type = LowerDBlockFromSidesetGenerator
    new_block_id = 10000
    sidesets = '2'
    new_block_name = 'primary_lower'
    input = secondary
  []
  allow_renumbering = false
[]

[Problem]
  type = AugmentedLagrangianContactFEProblem
  extra_tag_vectors = 'ref'
  maximum_lagrangian_update_iterations = 1000
[]

[AuxVariables]
  [penalty_normal_pressure]
  []
  [penalty_frictional_pressure]
  []
  [accumulated_slip_one]
  []
  [tangential_vel_one]
  []
  [normal_gap]
  []
  [normal_lm]
  []
  [saved_x]
  []
  [saved_y]
  []
  [active]
  []
  [dual_var]
    use_dual = true
    block = '10001'
  []
[]

[Functions]
  [disp_ramp_vert]
    type = PiecewiseLinear
    x = '0. 1. 3.5'
    y = '0. -0.020 -0.020'
  []
  [disp_ramp_horz]
    type = PiecewiseLinear
    x = '0. 1. 3.5'
    y = '0. 0.0 0.015'
  []
[]

[Physics/SolidMechanics/QuasiStatic/all]
  strain = FINITE
  add_variables = true
  save_in = 'saved_x saved_y'
  extra_vector_tags = 'ref'
  block = '1 2 3 4 5 6 7'
  generate_output = 'stress_xx stress_yy stress_xy'
[]

[AuxKernels]
  [penalty_normal_pressure]
    type = PenaltyMortarUserObjectAux
    variable = penalty_normal_pressure
    user_object = friction_uo
    contact_quantity = normal_pressure
    boundary = 3
  []
  [penalty_frictional_pressure]
    type = PenaltyMortarUserObjectAux
    variable = penalty_frictional_pressure
    user_object = friction_uo
    contact_quantity = tangential_pressure_one
    boundary = 3
  []
  [penalty_tangential_vel_one]
    type = PenaltyMortarUserObjectAux
    variable = tangential_vel_one
    user_object = friction_uo
    contact_quantity = tangential_velocity_one
    boundary = 3
  []
  [penalty_accumulated_slip_one]
    type = PenaltyMortarUserObjectAux
    variable = accumulated_slip_one
    user_object = friction_uo
    contact_quantity = accumulated_slip_one
    boundary = 3
  []
  [normal_lm]
    type = PenaltyMortarUserObjectAux
    variable = normal_lm
    user_object = friction_uo
    contact_quantity = normal_lm
    boundary = 3
  []
  [normal_gap]
    type = PenaltyMortarUserObjectAux
    variable = normal_gap
    user_object = friction_uo
    contact_quantity = normal_gap
    boundary = 3
  []
[]

[Postprocessors]
  [bot_react_x]
    type = NodalSum
    variable = saved_x
    boundary = 1
  []
  [bot_react_y]
    type = NodalSum
    variable = saved_y
    boundary = 1
  []
  [top_react_x]
    type = NodalSum
    variable = saved_x
    boundary = 4
  []
  [top_react_y]
    type = NodalSum
    variable = saved_y
    boundary = 4
  []
  [_dt]
    type = TimestepSize
  []
  [num_lin_it]
    type = NumLinearIterations
  []
  [num_nonlin_it]
    type = NumNonlinearIterations
  []
  [cumulative]
    type = CumulativeValuePostprocessor
    postprocessor = num_nonlin_it
  []
  [gap]
    type = SideExtremeValue
    value_type = min
    variable = normal_gap
    boundary = 3
  []
  [num_al]
    type = NumAugmentedLagrangeIterations
  []
  [active_set_size]
    type = NodalSum
    variable = active
  []
[]

[BCs]
  [side_x]
    type = DirichletBC
    variable = disp_y
    boundary = '1 2'
    value = 0.0
  []
  [bot_y]
    type = DirichletBC
    variable = disp_x
    boundary = '1 2'
    value = 0.0
  []
  [top_y_disp]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 4
    function = disp_ramp_vert
  []
  [top_x_disp]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 4
    function = disp_ramp_horz
  []
[]

[Materials]
  [stuff1_elas_tens]
    type = ComputeIsotropicElasticityTensor
    block = '1'
    youngs_modulus = 1e10
    poissons_ratio = 0.0
  []
  [stuff1_stress]
    type = ComputeFiniteStrainElasticStress
    block = '1'
  []
  [stuff2_elas_tens]
    type = ComputeIsotropicElasticityTensor
    block = '2 3 4 5 6 7'
    youngs_modulus = 1e6
    poissons_ratio = 0.3
  []
  [stuff2_stress]
    type = ComputeFiniteStrainElasticStress
    block = '2 3 4 5 6 7'
  []
[]

[Executioner]
  type = Transient
  solve_type = 'NEWTON'

  petsc_options = '-snes_ksp_ew'
  petsc_options_iname = -pc_type
  petsc_options_value = lu
  line_search = 'basic'

  nl_abs_tol = 1e-13
  nl_rel_tol = 1e-11
  nl_max_its = 75
  l_tol = 1e-05
  l_abs_tol = 1e-13

  start_time = 0.0
  end_time = 0.1 # 3.5
  dt = 0.1
  dtmin = 0.1

  [Predictor]
    type = SimplePredictor
    scale = 1.0
  []

  automatic_scaling = true
  compute_scaling_once = false
  off_diagonals_in_auto_scaling = true
[]

[Preconditioning]
  [SMP]
    type = SMP
    full = true
  []
[]

[VectorPostprocessors]
  [surface]
    type = NodalValueSampler
    use_displaced_mesh = false
    variable = 'disp_x disp_y normal_gap'
    boundary = '3'
    sort_by = id
  []
[]

[Outputs]
  print_linear_residuals = true
  perf_graph = true
  exodus = true
  csv = false
  [vectorpp_output]
    type = CSV
    create_final_symlink = true
    execute_on = 'INITIAL TIMESTEP_END FINAL'
  []
[]

[UserObjects]
  [friction_uo]
    type = PenaltyFrictionUserObject
    primary_boundary = '2'
    secondary_boundary = '3'
    primary_subdomain = '10000'
    secondary_subdomain = '10001'
    disp_x = disp_x
    disp_y = disp_y
    penalty = 1e5
    secondary_variable = disp_x
    friction_coefficient = 0.4
    penetration_tolerance = 1e-7
    slip_tolerance = 1e-8
    penalty_friction = 1e6
    penalty_multiplier = 10
    use_physical_gap = true
    aux_lm = dual_var
  []
[]

[Constraints]
  [x]
    type = NormalMortarMechanicalContact
    primary_boundary = '2'
    secondary_boundary = '3'
    primary_subdomain = '10000'
    secondary_subdomain = '10001'
    secondary_variable = disp_x
    component = x
    use_displaced_mesh = true
    compute_lm_residuals = false
    weighted_gap_uo = friction_uo
  []
  [y]
    type = NormalMortarMechanicalContact
    primary_boundary = '2'
    secondary_boundary = '3'
    primary_subdomain = '10000'
    secondary_subdomain = '10001'
    secondary_variable = disp_y
    component = y
    use_displaced_mesh = true
    compute_lm_residuals = false
    weighted_gap_uo = friction_uo
  []
  [tangential_x]
    type = TangentialMortarMechanicalContact
    primary_boundary = 2
    secondary_boundary = 3
    primary_subdomain = 10000
    secondary_subdomain = 10001
    secondary_variable = disp_x
    component = x
    use_displaced_mesh = true
    compute_lm_residuals = false
    weighted_velocities_uo = friction_uo
  []
  [tangential_y]
    type = TangentialMortarMechanicalContact
    primary_boundary = 2
    secondary_boundary = 3
    primary_subdomain = 10000
    secondary_subdomain = 10001
    secondary_variable = disp_y
    component = y
    use_displaced_mesh = true
    compute_lm_residuals = false
    weighted_velocities_uo = friction_uo
  []
[]

(modules/solid_mechanics/test/tests/umat/shear_order/shear_order_umat.i)

# Testing the UMAT Interface - linear elastic model using the large strain formulation.

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
  volumetric_locking_correction = true
[]

[Mesh]
  [gen]
    type = GeneratedMeshGenerator
    dim = 3
    xmin = -0.5
    xmax = 0.5
    ymin = -0.5
    ymax = 0.5
    zmin = -0.5
    zmax = 0.5
    nx = 1
    ny = 1
    nz = 1
  []
[]

[Functions]
  [top_pull]
    type = ParsedFunction
    expression = 1.0e-5*t
  []
[]

[Physics/SolidMechanics/QuasiStatic]
  [all]
    add_variables = true
    strain = FINITE
    generate_output = 'stress_xy stress_yz stress_xz strain_xy strain_yz strain_xz'
  []
[]

[BCs]
  [pull_function]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = top
    function = top_pull
  []
  [x_bot]
    type = DirichletBC
    variable = disp_x
    boundary = bottom
    value = 0.0
  []
  [y_bot]
    type = DirichletBC
    variable = disp_y
    boundary = bottom
    value = 0.0
  []
  [z_bot]
    type = DirichletBC
    variable = disp_z
    boundary = bottom
    value = 0.0
  []
[]

[Materials]
  # This input file is used to compare the MOOSE and UMAT models, activating
  # specific ones with cli variable_names.

  # 1. Active for umat calculation
  [umat]
    type = AbaqusUMATStress
    constant_properties = ' '
    plugin = '../../../plugins/elastic_incremental_anisotropic'
    num_state_vars = 0
    use_one_based_indexing = true
  []

  # 2. Active for reference MOOSE computations
  [elastic]
    type = ComputeElasticityTensor
    fill_method = orthotropic
    C_ijkl = '1.0e5 1.0e5 1.0e5 1.0e4 2.0e4 3.0e4 0.0 0.0 0.0 0.0 0.0 0.0'
    # skip_check = true
  []
  [stress]
    type = ComputeFiniteStrainElasticStress
  []
[]

[Executioner]
  type = Transient
  solve_type = 'PJFNK'

  petsc_options = '-snes_ksp_ew'
  petsc_options_iname = '-ksp_gmres_restart'
  petsc_options_value = '101'

  line_search = 'none'

  l_max_its = 100
  nl_max_its = 100
  nl_rel_tol = 1e-11
  nl_abs_tol = 1e-11
  l_tol = 1e-9
  start_time = 0.0
  end_time = 10.0
  dt = 1.0
[]

[Preconditioning]
  [smp]
    type = SMP
    full = true
  []
[]

[Outputs]
  exodus = true
[]

(modules/solid_mechanics/test/tests/weak_plane_tensile/small_deform_hard_cubic.i)

# Checking evolution tensile strength for cubic hardening
# A single element is stretched by 1E-6*t in z direction, and
# the yield-surface evolution is mapped out
[GlobalParams]
  displacements = 'x_disp y_disp z_disp'
[]

[Mesh]
  type = GeneratedMesh
  dim = 3
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]

[Physics/SolidMechanics/QuasiStatic/all]
  strain = FINITE
  add_variables = true
  generate_output = 'stress_zz'
[]

[BCs]
  [bottomx]
    type = DirichletBC
    variable = x_disp
    boundary = back
    value = 0.0
  []
  [bottomy]
    type = DirichletBC
    variable = y_disp
    boundary = back
    value = 0.0
  []
  [bottomz]
    type = DirichletBC
    variable = z_disp
    boundary = back
    value = 0.0
  []

  [topx]
    type = DirichletBC
    variable = x_disp
    boundary = front
    value = 0
  []
  [topy]
    type = DirichletBC
    variable = y_disp
    boundary = front
    value = 0
  []
  [topz]
    type = FunctionDirichletBC
    variable = z_disp
    boundary = front
    function = 1E-6*t
  []
[]

[AuxVariables]
  [wpt_internal]
    order = CONSTANT
    family = MONOMIAL
  []
  [yield_fcn]
    order = CONSTANT
    family = MONOMIAL
  []
[]

[AuxKernels]
  [wpt_internal]
    type = MaterialStdVectorAux
    property = plastic_internal_parameter
    index = 0
    variable = wpt_internal
  []
  [yield_fcn_auxk]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 0
    variable = yield_fcn
  []
[]

[Postprocessors]
  [wpt_internal]
    type = PointValue
    point = '0 0 0'
    variable = wpt_internal
  []
  [s_zz]
    type = PointValue
    point = '0 0 0'
    variable = stress_zz
  []
  [f]
    type = PointValue
    point = '0 0 0'
    variable = yield_fcn
  []
[]

[UserObjects]
  [str]
    type = SolidMechanicsHardeningCubic
    value_0 = 10
    value_residual = 4
    internal_limit = 0.000003
  []
  [wpt]
    type = SolidMechanicsPlasticWeakPlaneTensile
    tensile_strength = str
    yield_function_tolerance = 1E-6
    internal_constraint_tolerance = 1E-11
  []
[]

[Materials]
  [elasticity_tensor]
    type = ComputeElasticityTensor
    fill_method = symmetric_isotropic
    C_ijkl = '0 1E7'
  []
  [mc]
    type = ComputeMultiPlasticityStress
    plastic_models = wpt
    transverse_direction = '0 0 1'
    ep_plastic_tolerance = 1E-11
  []
[]

[Executioner]
  end_time = 4
  dt = 0.5
  type = Transient
[]

[Outputs]
  csv = true
[]

(modules/solid_mechanics/test/tests/smeared_cracking/cracking_plane_stress.i)

################################################################################
#
# 1x1x1 cube, single element
# simulate plane stress
# pull in +y direction on right surface to produce shear strain
#
#
#
#          ____________
#         /|          /|
#        / |  5      / |                       -X  Left   1
#       /__________ /  |                       +X  Right  4
#      |   |    3  |   |                       +Y  Top    5
#      | 1 |       | 4 |                       -Y  Bottom 2
#      |   |_6_____|___|           y           +Z  Front  6
#      |  /        |  /            ^           -Z  Back   3
#      | /    2    | /             |
#      |/__________|/              |
#                                  ----> x
#                                 /
#                                /
#                               z
#
#
#
#################################################################################

[Mesh]
  file = cube.e
[]

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]

[Functions]
  [./displ]
    type = PiecewiseLinear
    x = '0 0.1 0.2 0.3 0.4'
    y = '0 0.0026 0 -0.0026 0'
  [../]
  [./pressure]
    type = PiecewiseLinear
    x = '0 0.1 0.2 0.3 0.4'
    y = '0 0   0    0   0'
  [../]
[]

[Physics/SolidMechanics/QuasiStatic]
  [./all]
    strain = FINITE
    add_variables = true
    generate_output = 'stress_xx stress_yy stress_zz stress_xy stress_yz stress_zx'
  [../]
[]

[BCs]
  [./pull_y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 4
    function = displ
  [../]
  [./pin_x]
    type = DirichletBC
    variable = disp_x
    boundary = '1  4'
    value = 0.0
  [../]
  [./pin_y]
    type = DirichletBC
    variable = disp_y
    boundary = 1
    value = 0.0
  [../]
  [./back]
    type = DirichletBC
    variable = disp_z
    boundary = '3'
    value = 0.0
  [../]
  [./front]
    type = Pressure
    variable = disp_z
    boundary = 6
    function = pressure
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeIsotropicElasticityTensor
    youngs_modulus = 200.0e3
    poissons_ratio = .3
  [../]
  [./elastic_stress]
    type = ComputeSmearedCrackingStress
    cracking_stress = 120
    cracked_elasticity_type = DIAGONAL
    shear_retention_factor = 0.1
    softening_models = exponential_softening
  [../]
  [./exponential_softening]
    type = ExponentialSoftening
    residual_stress = 0.1
    beta = 0.1
  [../]
[]

[Executioner]
  type = Transient
  #Preconditioned JFNK (default)
  solve_type = 'PJFNK'

  petsc_options_iname = '-ksp_gmres_restart -pc_type -sub_pc_type'
  petsc_options_value = '101                asm      lu'

  line_search = 'none'

  l_max_its = 100
  nl_max_its = 100
  nl_rel_tol = 1e-12
  nl_abs_tol = 1e-8
  l_tol = 1e-5
  start_time = 0.0
  end_time = 0.4
  dt = 0.04
[]

[Outputs]
  exodus = true
[]

(modules/solid_mechanics/test/tests/crystal_plasticity/hcp_single_crystal/update_method_hcp_basal_active.i)

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]

[Mesh]
  [cube]
    type = GeneratedMeshGenerator
    dim = 3
    nx = 2
    ny = 2
    nz = 2
    elem_type = HEX8
  []
[]

[AuxVariables]
  [temperature]
  []
  [pk2_zz]
    order = CONSTANT
    family = MONOMIAL
  []
  [fp_xx]
    order = CONSTANT
    family = MONOMIAL
  []
  [fp_yy]
    order = CONSTANT
    family = MONOMIAL
  []
  [fp_zz]
    order = CONSTANT
    family = MONOMIAL
  []
  [e_xx]
    order = CONSTANT
    family = MONOMIAL
  []
  [e_yy]
    order = CONSTANT
    family = MONOMIAL
  []
  [e_zz]
    order = CONSTANT
    family = MONOMIAL
  []
  [slip_increment_0]
    order = CONSTANT
    family = MONOMIAL
  []
  [slip_increment_1]
    order = CONSTANT
    family = MONOMIAL
  []
  [resolved_shear_stress_0]
    order = CONSTANT
    family = MONOMIAL
  []
  [resolved_shear_stress_1]
    order = CONSTANT
    family = MONOMIAL
  []
  [resolved_shear_stress_2]
    order = CONSTANT
    family = MONOMIAL
  []
  [slip_resistance_0]
    order = CONSTANT
    family = MONOMIAL
  []
  [slip_resistance_1]
    order = CONSTANT
    family = MONOMIAL
  []
  [slip_resistance_2]
    order = CONSTANT
    family = MONOMIAL
  []
[]

[Physics/SolidMechanics/QuasiStatic/all]
  strain = FINITE
  incremental = true
  add_variables = true
  generate_output = stress_zz
[]

[AuxKernels]
  [temperature]
    type = ConstantAux
    variable = temperature
    value= 300
  []
  [pk2_zz]
    type = RankTwoAux
    variable = pk2_zz
    rank_two_tensor = second_piola_kirchhoff_stress
    index_j = 2
    index_i = 2
    execute_on = timestep_end
  []
  [fp_xx]
    type = RankTwoAux
    variable = fp_xx
    rank_two_tensor = plastic_deformation_gradient
    index_j = 0
    index_i = 0
    execute_on = timestep_end
  []
  [fp_yy]
    type = RankTwoAux
    variable = fp_yy
    rank_two_tensor = plastic_deformation_gradient
    index_j = 1
    index_i = 1
    execute_on = timestep_end
  []
  [fp_zz]
    type = RankTwoAux
    variable = fp_zz
    rank_two_tensor = plastic_deformation_gradient
    index_j = 2
    index_i = 2
    execute_on = timestep_end
  []
  [e_xx]
    type = RankTwoAux
    variable = e_xx
    rank_two_tensor = total_lagrangian_strain
    index_j = 0
    index_i = 0
    execute_on = timestep_end
  []
  [e_yy]
    type = RankTwoAux
    variable = e_yy
    rank_two_tensor = total_lagrangian_strain
    index_j = 1
    index_i = 1
    execute_on = timestep_end
  []
  [e_zz]
    type = RankTwoAux
    variable = e_zz
    rank_two_tensor = total_lagrangian_strain
    index_j = 2
    index_i = 2
    execute_on = timestep_end
  []
  [slip_increment_0]
   type = MaterialStdVectorAux
   variable = slip_increment_0
   property = slip_increment
   index = 0
   execute_on = timestep_end
  []
  [slip_increment_1]
   type = MaterialStdVectorAux
   variable = slip_increment_1
   property = slip_increment
   index = 1
   execute_on = timestep_end
  []
  [tau_0]
    type = MaterialStdVectorAux
    variable = resolved_shear_stress_0
    property = applied_shear_stress
    index = 0
    execute_on = timestep_end
  []
  [tau_1]
    type = MaterialStdVectorAux
    variable = resolved_shear_stress_1
    property = applied_shear_stress
    index = 1
    execute_on = timestep_end
  []
  [tau_2]
    type = MaterialStdVectorAux
    variable = resolved_shear_stress_2
    property = applied_shear_stress
    index = 2
    execute_on = timestep_end
  []
  [slip_resistance_0]
    type = MaterialStdVectorAux
    variable = slip_resistance_0
    property = slip_resistance
    index = 0
    execute_on = timestep_end
  []
  [slip_resistance_1]
    type = MaterialStdVectorAux
    variable = slip_resistance_1
    property = slip_resistance
    index = 1
    execute_on = timestep_end
  []
  [slip_resistance_2]
    type = MaterialStdVectorAux
    variable = slip_resistance_2
    property = slip_resistance
    index = 2
    execute_on = timestep_end
  []
[]

[BCs]
  [fix_y]
    type = DirichletBC
    variable = disp_y
    preset = true
    boundary = 'bottom'
    value = 0
  []
  [fix_x]
    type = DirichletBC
    variable = disp_x
    boundary = 'left'
    value = 0
  []
  [fix_z]
    type = DirichletBC
    variable = disp_z
    boundary = 'back'
    value = 0
  []
  [tdisp]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = front
    function = '0.001*t'
  []
[]

[Materials]
  [elasticity_tensor]
    type = ComputeElasticityTensorCP
    C_ijkl = '1.622e5 9.18e4 6.88e4 1.622e5 6.88e4 1.805e5 4.67e4 4.67e4 4.67e4' #alpha Ti, Alankar et al. Acta Materialia 59 (2011) 7003-7009
    fill_method = symmetric9
    # orient in approximately [011] to activate the basal slip planes
    euler_angle_1 = 120.0
    euler_angle_2 = 125.264
    euler_angle_3 =  45.0
  []
  [stress]
    type = ComputeMultipleCrystalPlasticityStress
    crystal_plasticity_models = 'trial_xtalpl'
    tan_mod_type = exact
  []
  [trial_xtalpl]
    type = CrystalPlasticityHCPDislocationSlipBeyerleinUpdate
    number_slip_systems = 3
    slip_sys_file_name = hcp_basal_slip_sys.txt
    unit_cell_dimension = '2.934e-7 2.934e-7 4.657e-7' #Ti, in mm, https://materialsproject.org/materials/mp-46/
    temperature = temperature
    initial_forest_dislocation_density = 15.0e5
    initial_substructure_density = 1.0e3
    slip_system_modes = 1
    number_slip_systems_per_mode = '3'
    lattice_friction_per_mode = '98' #Knezevic et al MSEA 654 (2013)
    effective_shear_modulus_per_mode = '4.7e4' #Ti, in MPa, https://materialsproject.org/materials/mp-46/
    burgers_vector_per_mode = '2.934e-7' #Ti, in mm, https://materialsproject.org/materials/mp-46/
    slip_generation_coefficient_per_mode = '5.7e6' #from Knezevic et al. 2015 AM
    normalized_slip_activiation_energy_per_mode = '0.002' #from Knezevic et al. 2015 AM
    slip_energy_proportionality_factor_per_mode = '700' ##from Knezevic et al. 2015 AM
    substructure_rate_coefficient_per_mode = '355' #from Capolungo et al MSEA (2009)
    applied_strain_rate = 0.001
    gamma_o = 1.0e-3
    Hall_Petch_like_constant_per_mode = '0.2' #Estimated to match graph in Capolungo et al MSEA (2009), Figure 2
    grain_size = 20.0e-3 #20 microns, Beyerlein and Tome IJP (2008)
  []
[]

[Postprocessors]
  [stress_zz]
    type = ElementAverageValue
    variable = stress_zz
  []
  [pk2_zz]
    type = ElementAverageValue
    variable = pk2_zz
  []
  [fp_xx]
    type = ElementAverageValue
    variable = fp_xx
  []
  [fp_yy]
    type = ElementAverageValue
    variable = fp_yy
  []
  [fp_zz]
    type = ElementAverageValue
    variable = fp_zz
  []
  [e_xx]
    type = ElementAverageValue
    variable = e_xx
  []
  [e_yy]
    type = ElementAverageValue
    variable = e_yy
  []
  [e_zz]
    type = ElementAverageValue
    variable = e_zz
  []
  [slip_increment_0]
    type = ElementAverageValue
    variable = slip_increment_0
  []
  [slip_increment_1]
    type = ElementAverageValue
    variable = slip_increment_1
  []
  [tau_0]
    type = ElementAverageValue
    variable = resolved_shear_stress_0
  []
  [tau_1]
    type = ElementAverageValue
    variable = resolved_shear_stress_1
  []
  [tau_2]
    type = ElementAverageValue
    variable = resolved_shear_stress_2
  []
  [slip_resistance_0]
    type = ElementAverageValue
    variable = slip_resistance_0
  []
  [slip_resistance_1]
    type = ElementAverageValue
    variable = slip_resistance_1
  []
  [slip_resistance_2]
    type = ElementAverageValue
    variable = slip_resistance_2
  []
[]

[Preconditioning]
  [smp]
    type = SMP
    full = true
  []
[]

[Executioner]
  type = Transient
  solve_type = 'PJFNK'

  petsc_options_iname = '-pc_type -pc_asm_overlap -sub_pc_type -ksp_type -ksp_gmres_restart'
  petsc_options_value = ' asm      2              lu            gmres     200'
  nl_abs_tol = 1e-10
  nl_rel_tol = 1e-10
  nl_abs_step_tol = 1e-10

  dt = 0.5
  dtmin = 1.0e-2
  dtmax = 10.0
  end_time = 2.5
[]

[Outputs]
  csv = true
[]

(modules/solid_mechanics/test/tests/capped_mohr_coulomb/small_deform23.i)

# apply repeated stretches in x z directions, and smaller stretches along the y direction,
# so that sigma_max = sigma_mid (approximately),
# which means that lode angle = 30deg.
# The allows yield surface in meridional plane to be mapped out


[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]

[Physics/SolidMechanics/QuasiStatic]
  [./all]
    add_variables = true
    incremental = true
    generate_output = 'max_principal_stress mid_principal_stress min_principal_stress stress_xx stress_xy stress_xz stress_yy stress_yz stress_zz'
  [../]
[]


[BCs]
  [./x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'front back'
    function = '1E-6*x*t'
  [../]
  [./y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'front back'
    function = '0.25E-6*y*sin(t)'
  [../]
  [./z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'front back'
    function = '1E-6*z*t'
  [../]
[]

[AuxVariables]
  [./mc_int]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./yield_fcn]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]

[AuxKernels]
  [./mc_int_auxk]
    type = MaterialStdVectorAux
    index = 0
    property = plastic_internal_parameter
    variable = mc_int
  [../]
  [./yield_fcn_auxk]
    type = MaterialStdVectorAux
    index = 6
    property = plastic_yield_function
    variable = yield_fcn
  [../]
[]

[Postprocessors]
  [./s_xx]
    type = PointValue
    point = '0 0 0'
    variable = stress_xx
  [../]
  [./s_xy]
    type = PointValue
    point = '0 0 0'
    variable = stress_xy
  [../]
  [./s_xz]
    type = PointValue
    point = '0 0 0'
    variable = stress_xz
  [../]
  [./s_yy]
    type = PointValue
    point = '0 0 0'
    variable = stress_yy
  [../]
  [./s_yz]
    type = PointValue
    point = '0 0 0'
    variable = stress_yz
  [../]
  [./s_zz]
    type = PointValue
    point = '0 0 0'
    variable = stress_zz
  [../]
  [./internal]
    type = PointValue
    point = '0 0 0'
    variable = mc_int
  [../]
  [./f]
    type = PointValue
    point = '0 0 0'
    variable = yield_fcn
  [../]
[]

[UserObjects]
  [./ts]
    type = SolidMechanicsHardeningConstant
    value = 1E6
  [../]
  [./mc_coh]
    type = SolidMechanicsHardeningConstant
    value = 10
  [../]
  [./mc_phi]
    type = SolidMechanicsHardeningConstant
    value = 30
    convert_to_radians = true
  [../]
  [./mc_psi]
    type = SolidMechanicsHardeningConstant
    value = 0.5
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    fill_method = symmetric_isotropic
    C_ijkl = '0 1E7'
  [../]
  [./mc]
    type = CappedMohrCoulombStressUpdate
    tensile_strength = ts
    compressive_strength = ts
    cohesion = mc_coh
    friction_angle = mc_phi
    dilation_angle = mc_psi
    smoothing_tol = 5.0
    yield_function_tol = 1.0E-12
  [../]
  [./stress]
    type = ComputeMultipleInelasticStress
    inelastic_models = mc
    perform_finite_strain_rotations = false
  [../]
[]


[Executioner]
  end_time = 30
  dt = 1
  type = Transient
[]


[Outputs]
  file_base = small_deform23
  csv = true
[]

(modules/solid_mechanics/test/tests/postprocessors/material_tensor_average_test.i)

[Mesh]
  [./msh]
    type = GeneratedMeshGenerator
    dim = 3
    xmax = 2
    ymax = 2
    zmax = 2
  []
[]

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]

[Physics]
  [SolidMechanics]
    [QuasiStatic]
      [./all]
        strain = FINITE
        add_variables = true
        generate_output = 'stress_zz'
      [../]
    [../]
  [../]
[]

[BCs]
  [./back_z]
    type = DirichletBC
    variable = disp_z
    boundary = back
    value = 0.0
  [../]
  [./left_x]
    type = DirichletBC
    variable = disp_x
    boundary = left
    value = 0.0
  [../]
  [./bottom_y]
    type = DirichletBC
    variable = disp_y
    boundary = bottom
    value = 0.0
  [../]
  [./move_front]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = front
    function = 't/10.'
  [../]
[]

[Materials]
  [./stress]
    type = ComputeFiniteStrainElasticStress
  [../]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    fill_method = symmetric9
    C_ijkl = '1.5e6 0.75e6 0.75e6 1.5e6 0.75e6 1.5e6 0.375e6 0.375e6 0.375e6'
  [../]
[]

[Postprocessors]
  [./szz_avg]
    type =MaterialTensorAverage
    rank_two_tensor = stress
    index_i = 2
    index_j = 2
    use_displaced_mesh = true
  []
  [./szz_int]
    type =MaterialTensorIntegral
    rank_two_tensor = stress
    index_i = 2
    index_j = 2
    use_displaced_mesh = true
  []
  [./szz_avg_aux]
    type =ElementAverageValue
    variable = stress_zz
    use_displaced_mesh = true
  []
  [./szz_int_aux]
    type =ElementIntegralVariablePostprocessor
    variable = stress_zz
    use_displaced_mesh = true
  []
[]


[Preconditioning]
  [./SMP]
    type = SMP
    full = true
  [../]
[]

[Executioner]
  type = Transient
  solve_type = NEWTON
  petsc_options_iname = '-pc_type '
  petsc_options_value = lu
  nl_rel_tol = 1e-10
  nl_abs_tol = 1e-6
  l_max_its = 20
  start_time = 0.0
  dt = 0.2
  end_time = 1.0
[]

[Outputs]
  csv = true
[]

(modules/solid_mechanics/test/tests/plane_stress/weak_plane_stress_finite_tension_pull.i)

[GlobalParams]
  order = FIRST
  family = LAGRANGE
  displacements = 'disp_x disp_y'
  out_of_plane_strain = strain_zz
[]

[Problem]
  extra_tag_vectors = 'ref'
[]

[Mesh]
  [gmg]
    type = GeneratedMeshGenerator
    dim = 2
    nx = 1
    ny = 1
  []
[]

[Variables]
  [disp_x]
  []
  [disp_y]
  []
  [strain_zz]
  []
[]

[AuxVariables]
  [react_x]
  []
[]

[Postprocessors]
  [react_x]
    type = NodalSum
    variable = 'react_x'
    boundary = 'right'
  []
  [stress_xx]
    type = ElementalVariableValue
    variable = 'stress_xx'
    elementid = 0
  []
  [strain_zz]
    type = ElementalVariableValue
    variable = 'strain_zz'
    elementid = 0
  []
[]

[Physics/SolidMechanics/QuasiStatic]
  [plane_stress]
    strain = FINITE
    planar_formulation = WEAK_PLANE_STRESS
    extra_vector_tags = 'ref'
    generate_output = 'stress_xx stress_xy stress_yy stress_zz strain_xx strain_xy strain_yy'
  []
[]

[AuxKernels]
  [react_x]
    type = TagVectorAux
    vector_tag = 'ref'
    v = 'disp_x'
    variable = 'react_x'
  []
[]

[BCs]
  [leftx]
    type = DirichletBC
    boundary = left
    variable = disp_x
    value = 0.0
  []
  [bottomy]
    type = DirichletBC
    boundary = bottom
    variable = disp_y
    value = 0.0
  []
  [rightx]
    type = FunctionDirichletBC
    boundary = right
    variable = disp_x
    function = 't'
  []
[]

[Materials]
  [elasticity_tensor]
    type = ComputeIsotropicElasticityTensor
    poissons_ratio = 0.3
    youngs_modulus = 1e6
  []
  [stress]
    type = ComputeFiniteStrainElasticStress
  []
[]

[Executioner]
  type = Transient

  solve_type = PJFNK
  line_search = none

  nl_rel_tol = 1e-12
  nl_abs_tol = 1e-10

  # time control
  start_time = 0.0
  dt = 0.01
  dtmin = 0.01
  end_time = 0.2
[]

[Outputs]
  csv = true
[]

(test/tests/mortar/continuity-2d-conforming/conforming.i)

[Mesh]
  [file]
    type = FileMeshGenerator
    file = 2blk-conf.e
  []
  [secondary]
    input = file
    type = LowerDBlockFromSidesetGenerator
    sidesets = '101'
    new_block_id = '10001'
    new_block_name = 'secondary_lower'
  []
  [primary]
    input = secondary
    type = LowerDBlockFromSidesetGenerator
    sidesets = '100'
    new_block_id = '10000'
    new_block_name = 'primary_lower'
  []
[]

[Functions]
  [./exact_sln]
    type = ParsedFunction
    expression= y
  [../]
  [./ffn]
    type = ParsedFunction
    expression= 0
  [../]
[]

[Variables]
  [./u]
    order = FIRST
    family = LAGRANGE
    block = '1 2'
  [../]

  [./lm]
    order = FIRST
    family = LAGRANGE
    block = 'secondary_lower'
  [../]
[]

[Kernels]
  [./diff]
    type = Diffusion
    variable = u
  [../]
  [./ffn]
    type = BodyForce
    variable = u
    function = ffn
  [../]
[]

[Constraints]
  [./ced]
    type = EqualValueConstraint
    variable = lm
    secondary_variable = u
    primary_boundary = 100
    primary_subdomain = 10000
    secondary_boundary = 101
    secondary_subdomain = 10001
  [../]
[]

[BCs]
  [./all]
    type = FunctionDirichletBC
    variable = u
    boundary = '1 2 3 4'
    function = exact_sln
  [../]
[]

[Postprocessors]
  [./l2_error]
    type = ElementL2Error
    variable = u
    function = exact_sln
    block = '1 2'
    execute_on = 'initial timestep_end'
  [../]
[]

[Preconditioning]
  [./fmp]
    type = SMP
    full = true
    solve_type = 'NEWTON'
  [../]
[]

[Executioner]
  type = Steady
  nl_rel_tol = 1e-11
  l_tol = 1e-10
[]

[Outputs]
  exodus = true
[]

(modules/porous_flow/test/tests/poro_elasticity/vol_expansion.i)

# Apply an increasing porepressure, with zero mechanical forces,
# and observe the corresponding volumetric expansion
#
# P = t
# With the Biot coefficient being 0.3, the effective stresses should be
# stress_xx = stress_yy = stress_zz = 0.3t
# With bulk modulus = 1 then should have
# vol_strain = strain_xx + strain_yy + strain_zz = 0.3t.
# I use a single element lying 0<=x<=1, 0<=y<=1 and 0<=z<=1, and
# fix the left, bottom and back boundaries appropriately,
# so at the point x=y=z=1, the displacements should be
# disp_x = disp_y = disp_z = 0.3t/3 (small strain physics is used)
[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = 0
  xmax = 1
  ymin = 0
  ymax = 1
  zmin = 0
  zmax = 1
[]

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
  block = 0
  PorousFlowDictator = dictator
[]

[Variables]
  [disp_x]
  []
  [disp_y]
  []
  [disp_z]
  []
  [p]
  []
[]

[BCs]
  [p]
    type = FunctionDirichletBC
    boundary = 'bottom top'
    variable = p
    function = t
  []
  [xmin]
    type = DirichletBC
    boundary = left
    variable = disp_x
    value = 0
  []
  [ymin]
    type = DirichletBC
    boundary = bottom
    variable = disp_y
    value = 0
  []
  [zmin]
    type = DirichletBC
    boundary = back
    variable = disp_z
    value = 0
  []
[]

[Kernels]
  [p_does_not_really_diffuse]
    type = Diffusion
    variable = p
  []
  [TensorMechanics]
    displacements = 'disp_x disp_y disp_z'
  []
  [poro_x]
    type = PorousFlowEffectiveStressCoupling
    biot_coefficient = 0.3
    variable = disp_x
    component = 0
  []
  [poro_y]
    type = PorousFlowEffectiveStressCoupling
    biot_coefficient = 0.3
    variable = disp_y
    component = 1
  []
  [poro_z]
    type = PorousFlowEffectiveStressCoupling
    biot_coefficient = 0.3
    variable = disp_z
    component = 2
  []
[]

[AuxVariables]
  [stress_xx]
    order = CONSTANT
    family = MONOMIAL
  []
  [stress_xy]
    order = CONSTANT
    family = MONOMIAL
  []
  [stress_xz]
    order = CONSTANT
    family = MONOMIAL
  []
  [stress_yy]
    order = CONSTANT
    family = MONOMIAL
  []
  [stress_yz]
    order = CONSTANT
    family = MONOMIAL
  []
  [stress_zz]
    order = CONSTANT
    family = MONOMIAL
  []
[]

[AuxKernels]
  [stress_xx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xx
    index_i = 0
    index_j = 0
  []
  [stress_xy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xy
    index_i = 0
    index_j = 1
  []
  [stress_xz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xz
    index_i = 0
    index_j = 2
  []
  [stress_yy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yy
    index_i = 1
    index_j = 1
  []
  [stress_yz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yz
    index_i = 1
    index_j = 2
  []
  [stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zz
    index_i = 2
    index_j = 2
  []
[]

[Postprocessors]
  [corner_x]
    type = PointValue
    point = '1 1 1'
    variable = disp_x
  []
  [corner_y]
    type = PointValue
    point = '1 1 1'
    variable = disp_y
  []
  [corner_z]
    type = PointValue
    point = '1 1 1'
    variable = disp_z
  []
[]

[UserObjects]
  [dictator]
    type = PorousFlowDictator
    porous_flow_vars = 'p'
    number_fluid_phases = 1
    number_fluid_components = 1
  []
  [pc]
    type = PorousFlowCapillaryPressureVG
    m = 0.5
    alpha = 1
  []
[]

[Materials]
  [temperature]
    type = PorousFlowTemperature
  []
  [elasticity_tensor]
    type = ComputeElasticityTensor
    # bulk modulus = 1, poisson ratio = 0.2
    C_ijkl = '0.5 0.75'
    fill_method = symmetric_isotropic
  []
  [strain]
    type = ComputeSmallStrain
    displacements = 'disp_x disp_y disp_z'
  []
  [stress]
    type = ComputeLinearElasticStress
  []
  [ppss]
    type = PorousFlow1PhaseP
    porepressure = p
    capillary_pressure = pc
  []
  [p_eff]
    type = PorousFlowEffectiveFluidPressure
  []
[]

[Preconditioning]
  [andy]
    type = SMP
    full = true
    petsc_options_iname = '-ksp_type -pc_type -snes_atol -snes_rtol -snes_max_it -ksp_atol -ksp_rtol'
    petsc_options_value = 'gmres bjacobi 1E-10 1E-10 10 1E-15 1E-10'
  []
[]

[Executioner]
  type = Transient
  solve_type = Newton
  start_time = 0
  dt = 0.1
  end_time = 1
[]

[Outputs]
  file_base = vol_expansion
  exodus = true
[]

(modules/contact/test/tests/bouncing-block-contact/frictional-penalty-weighted-vel.i)

starting_point = 2e-1
offset = 1e-2

[GlobalParams]
  displacements = 'disp_x disp_y'
  diffusivity = 1e0
  scaling = 1e0
  preset = false
[]

[Mesh]
  file = long-bottom-block-1elem-blocks.e
[]

[Variables]
  [disp_x]
    block = '1 2'
  []
  [disp_y]
    block = '1 2'
  []
[]

[ICs]
  [disp_y]
    block = 2
    variable = disp_y
    value = '${fparse starting_point + offset}'
    type = ConstantIC
  []
[]

[Kernels]
  [disp_x]
    type = MatDiffusion
    variable = disp_x
  []
  [disp_y]
    type = MatDiffusion
    variable = disp_y
  []
[]

[UserObjects]
  [weighted_vel_uo]
    type = PenaltyFrictionUserObject
    primary_boundary = 20
    secondary_boundary = 10
    primary_subdomain = 4
    secondary_subdomain = 3
    secondary_variable = disp_x
    disp_x = disp_x
    disp_y = disp_y
    penalty = 5e1
    penalty_friction = 1e0
    friction_coefficient = 0.4
  []
[]

[Constraints]
  [normal_x]
    type = NormalMortarMechanicalContact
    primary_boundary = 20
    secondary_boundary = 10
    primary_subdomain = 4
    secondary_subdomain = 3
    secondary_variable = disp_x
    component = x
    use_displaced_mesh = true
    compute_lm_residuals = false
    weighted_gap_uo = weighted_vel_uo
  []
  [normal_y]
    type = NormalMortarMechanicalContact
    primary_boundary = 20
    secondary_boundary = 10
    primary_subdomain = 4
    secondary_subdomain = 3
    secondary_variable = disp_y
    component = y
    use_displaced_mesh = true
    compute_lm_residuals = false
    weighted_gap_uo = weighted_vel_uo
  []
  [tangent_x]
    type = TangentialMortarMechanicalContact
    primary_boundary = 20
    secondary_boundary = 10
    primary_subdomain = 4
    secondary_subdomain = 3
    secondary_variable = disp_x
    component = x
    use_displaced_mesh = true
    compute_lm_residuals = false
    weighted_velocities_uo = weighted_vel_uo
  []
  [tangent_y]
    type = TangentialMortarMechanicalContact
    primary_boundary = 20
    secondary_boundary = 10
    primary_subdomain = 4
    secondary_subdomain = 3
    secondary_variable = disp_y
    component = y
    use_displaced_mesh = true
    compute_lm_residuals = false
    weighted_velocities_uo = weighted_vel_uo
  []
[]

[BCs]
  [botx]
    type = DirichletBC
    variable = disp_x
    boundary = 40
    value = 0.0
  []
  [boty]
    type = DirichletBC
    variable = disp_y
    boundary = 40
    value = 0.0
  []
  [topy]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 30
    function = '${starting_point} * cos(2 * pi / 40 * t) + ${offset}'
  []
  [leftx]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 50
    function = '1e-2 * t'
  []
[]

[Executioner]
  type = Transient
  end_time = 200
  dt = 5
  dtmin = .1
  solve_type = 'PJFNK'
  petsc_options = '-snes_converged_reason -ksp_converged_reason -pc_svd_monitor '
                  '-snes_linesearch_monitor'
  petsc_options_iname = '-pc_type -pc_factor_shift_type -pc_factor_shift_amount -mat_mffd_err'
  petsc_options_value = 'lu       NONZERO               1e-15                   1e-5'
  l_max_its = 30
  nl_max_its = 20
  line_search = 'none'
  snesmf_reuse_base = true
  abort_on_solve_fail = true
  nl_rel_tol = 1e-12
[]

[Debug]
  show_var_residual_norms = true
[]

[Outputs]
  exodus = true
[]

[Preconditioning]
  [smp]
    type = SMP
    full = true
  []
[]

[Postprocessors]
  active = 'num_nl cumulative'
  [num_nl]
    type = NumNonlinearIterations
  []
  [cumulative]
    type = CumulativeValuePostprocessor
    postprocessor = num_nl
  []
[]

(modules/combined/test/tests/break_mesh_interface_contact/break_mesh_interface_contact.i)

[GlobalParams]
  order = FIRST
  family = LAGRANGE
  displacements = 'disp_x disp_y'
  volumetric_locking_correction = true
[]

[Mesh]
  [gen]
    type = GeneratedMeshGenerator
    nx = 5
    ny = 5
    dim = 2
  []
  [block1]
    type = SubdomainBoundingBoxGenerator
    block_id = 1
    bottom_left = '0 0 0'
    top_right = '0.5 1 0'
    input = gen
  []
  [block2]
    type = SubdomainBoundingBoxGenerator
    block_id = 2
    bottom_left = '0.5 0 0'
    top_right = '1 1 0'
    input = block1
  []
  [breakmesh]
    input = block2
    type = BreakMeshByBlockGenerator
    block_pairs = '1 2'
    split_interface = true
    add_interface_on_two_sides = true
  []
[]

[Variables]
  [temperature]
  []
  [disp_x]
  []
  [disp_y]
  []
[]

[Kernels]
  [thermal_cond]
    type = HeatConduction
    variable = temperature
  []
[]

[Physics/SolidMechanics/QuasiStatic]
  generate_output = 'stress_xx stress_yy strain_xx strain_yy'
  add_variables = true
  strain = FINITE
  incremental = true
  [block1]
    block = 1
  []
  [block2]
    block = 2
  []
[]

[ThermalContact]
  [thermal_contact]
    type = GapHeatTransfer
    variable = temperature
    primary = Block1_Block2
    secondary = Block2_Block1
    emissivity_primary = 0
    emissivity_secondary = 0
    quadrature = true
    gap_conductivity = 1
  []
[]

[Contact]
  [mechanical]
    primary = Block1_Block2
    secondary = Block2_Block1
    penalty = 1000
    model = coulomb
    friction_coefficient = 0.5
    formulation = tangential_penalty
    tangential_tolerance = 0.1
  []
[]

[BCs]
  [left_temp]
    type = DirichletBC
    value = 100
    variable = temperature
    boundary = left
  []
  [right_temp]
    type = DirichletBC
    value = 0
    variable = temperature
    boundary = right
  []
  [left_disp_x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = left
    function = 0
  []
  [left_disp_y]
    type = DirichletBC
    variable = disp_y
    boundary = left
    value = 0.0
  []
  [right_disp_x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = right
    function = '-t'
  []
  [right_disp_y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = right
    function = '0'
  []
[]

[Materials]
  [thermal_cond]
    type = GenericConstantMaterial
    prop_names = 'thermal_conductivity'
    prop_values = 1
  []
  [elasticity_tensor]
    type = ComputeIsotropicElasticityTensor
    poissons_ratio = 0.3
    youngs_modulus = 100
  []
  [stress]
    type = ComputeFiniteStrainElasticStress
  []
[]

[Preconditioning]
  [smp]
    type = SMP
    full = true
  []
[]

[Dampers]
  [contact_slip]
    type = ContactSlipDamper
    secondary = Block1_Block2
    primary = Block2_Block1
  []
[]

[Executioner]
  type = Transient
  solve_type = 'PJFNK'

  petsc_options_iname = '-pc_type -pc_factor_mat_solver_type'
  petsc_options_value = 'lu mumps'

  line_search = none

  nl_rel_tol = 1e-9
  nl_abs_tol = 1e-9

  l_tol = 1e-4
  l_max_its = 50

  nl_max_its = 20

  start_time = 0.0

  num_steps = 2

  dtmin = 1e-8
  dt = 1e-2
  automatic_scaling = true
[]

[Outputs]
  print_linear_residuals = false
  time_step_interval = 1
  csv = false
  perf_graph = false
  exodus = true
[]

(test/tests/multiapps/picard/function_dt_parent.i)

[Mesh]
  type = GeneratedMesh
  dim = 2
  xmin = 0
  ymin = 0
  xmax = 1
  ymax = 1
  nx = 10
  ny = 10
[]

[Functions]
  [v_fn]
    type = ParsedFunction
    expression = t*x
  []
  [ffn]
    type = ParsedFunction
    expression = x
  []

  [dts]
    type = PiecewiseLinear
    x = '0.1  10'
    y = '0.1  10'
  []
[]

[AuxVariables]
  [v]
  []
[]

[Variables]
  [u]
  []
[]

[Kernels]
  [diff]
    type = Diffusion
    variable = u
  []
  [td]
    type = TimeDerivative
    variable = u
  []
  [ufn]
    type = BodyForce
    variable = u
    function = ffn
  []
[]

[BCs]
  [all]
    type = FunctionDirichletBC
    variable = u
    boundary = 'left right top bottom'
    function = v_fn
  []
[]

[Executioner]
  type = Transient
  dt = 0.1
  solve_type = 'PJFNK'

  nl_abs_tol = 1e-10
  fixed_point_max_its = 2
  start_time = 0
  num_steps = 3
  [TimeStepper]
    type = FunctionDT
    function = dts
  []
[]

[Outputs]
  exodus = true
[]

[MultiApps]
  [sub_app]
    app_type = MooseTestApp
    type = TransientMultiApp
    input_files = 'function_dt_sub.i'
    execute_on = timestep_end
    positions = '0 -1 0'
  []
[]

[Transfers]
  [from_sub]
    type = MultiAppGeneralFieldNearestLocationTransfer
    from_multi_app = sub_app
    source_variable = u
    variable = v
  []
[]

(modules/heat_transfer/test/tests/truss_heat_conduction/block_w_bar.i)

[Mesh]
  [whole]
    type = GeneratedMeshGenerator
    dim = 3
    nx = 3
    ny = 50
    nz = 1
    xmin = -0.5
    xmax = 0.5
    ymin = -1.25
    ymax = 1.25
    zmin = -0.04
    zmax = 0.04
  []
  [bar]
    type = SubdomainBoundingBoxGenerator
    input = whole
    bottom_left = '-0.6 -0.05 -0.04'
    top_right = '0.6 0.05 0.04'
    block_id = 2
    block_name = 'bar'
    location = INSIDE
  []
  [block]
    type = SubdomainBoundingBoxGenerator
    input = bar
    bottom_left = '-0.6 -0.05 -0.04'
    top_right = '0.6 0.05 0.04'
    block_id = 1
    block_name = 'block'
    location = OUTSIDE
  []
[]

[Variables]
  [temperature]
  []
[]

[Kernels]
  [time_derivative]
    type = HeatConductionTimeDerivative
    variable = temperature
  []
  [heat_conduction]
    type = HeatConduction
    variable = temperature
  []
[]

[Materials]
  [block]
    type = GenericConstantMaterial
    block = 'block'
    prop_names =  'thermal_conductivity specific_heat density'
    prop_values = '1.0                 1.0           1.0' # W/(cm K), J/(g K), g/cm^3
  []
  [line]
    type = GenericConstantMaterial
    block = 'bar'
    prop_names =  'thermal_conductivity specific_heat density'
    prop_values = '10.0                 1.0           1.0' # W/(cm K), J/(g K), g/cm^3
  []
[]

[BCs]
  [right]
    type = FunctionDirichletBC
    variable = temperature
    boundary = 'right'
    function = '10*t'
  []
[]

[VectorPostprocessors]
  [x_n0_25]
    type = LineValueSampler
    start_point = '-0.25 0 0'
    end_point = '-0.25 1.25 0'
    num_points = 100
    variable = 'temperature'
    sort_by = id
  []
  [x_0_25]
    type = LineValueSampler
    start_point = '0.25 0 0'
    end_point = '0.25 1.25 0'
    num_points = 100
    variable = 'temperature'
    sort_by = id
  []
[]

[Executioner]
  type = Transient
  start_time = 0
  dt = 1
  end_time = 1
  solve_type = 'PJFNK'
  petsc_options_iname = '-pc_type -pc_hypre_type'
  petsc_options_value = 'hypre boomeramg'
[]

[Outputs]
  exodus = true
  [csv]
    type = CSV
    file_base = 'csv/block_w_bar'
    time_data = true
  []
[]

(modules/contact/test/tests/3d-mortar-contact/frictional-mortar-3d-al.i)

starting_point = 0.25
offset = 0.00

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
  volumetric_locking_correction = true
[]

[AuxVariables]
  [penalty_normal_pressure]
    order = FIRST
    family = LAGRANGE
  []
  [penalty_frictional_pressure_one]
    order = FIRST
    family = LAGRANGE
  []
  [accumulated_slip_one]
    order = FIRST
    family = LAGRANGE
  []
  [penalty_frictional_pressure_two]
    order = FIRST
    family = LAGRANGE
  []
  [accumulated_slip_two]
    order = FIRST
    family = LAGRANGE
  []
[]

[Problem]
  type = AugmentedLagrangianContactFEProblem
[]

[AuxKernels]
  [penalty_normal_pressure_auxk]
    type = PenaltyMortarUserObjectAux
    variable = penalty_normal_pressure
    user_object = friction_uo
    contact_quantity = normal_pressure
  []
  [penalty_frictional_pressure_one_auxk]
    type = PenaltyMortarUserObjectAux
    variable = penalty_frictional_pressure_one
    user_object = friction_uo
    contact_quantity = tangential_pressure_one
  []
  [penalty_accumulated_slip_auxk]
    type = PenaltyMortarUserObjectAux
    variable = accumulated_slip_one
    user_object = friction_uo
    contact_quantity = accumulated_slip_one
  []
  [penalty_frictional_pressure_two_auxk]
    type = PenaltyMortarUserObjectAux
    variable = penalty_frictional_pressure_two
    user_object = friction_uo
    contact_quantity = tangential_pressure_two
  []
  [penalty_accumulated_slip_two_auxk]
    type = PenaltyMortarUserObjectAux
    variable = accumulated_slip_two
    user_object = friction_uo
    contact_quantity = accumulated_slip_two
  []
[]

[Mesh]
  [top_block]
    type = GeneratedMeshGenerator
    dim = 3
    nx = 3
    ny = 3
    nz = 3
    xmin = -0.25
    xmax = 0.25
    ymin = -0.25
    ymax = 0.25
    zmin = -0.25
    zmax = 0.25
    elem_type = HEX8
  []
  [rotate_top_block]
    type = TransformGenerator
    input = top_block
    transform = ROTATE
    vector_value = '0 0 0'
  []
  [top_block_sidesets]
    type = RenameBoundaryGenerator
    input = rotate_top_block
    old_boundary = '0 1 2 3 4 5'
    new_boundary = 'top_bottom top_back top_right top_front top_left top_top'
  []
  [top_block_id]
    type = SubdomainIDGenerator
    input = top_block_sidesets
    subdomain_id = 1
  []
  [bottom_block]
    type = GeneratedMeshGenerator
    dim = 3
    nx = 10
    ny = 10
    nz = 2
    xmin = -.5
    xmax = .5
    ymin = -.5
    ymax = .5
    zmin = -.3
    zmax = -.25
    elem_type = HEX8
  []
  [bottom_block_id]
    type = SubdomainIDGenerator
    input = bottom_block
    subdomain_id = 2
  []
  [bottom_block_change_boundary_id]
    type = RenameBoundaryGenerator
    input = bottom_block_id
    old_boundary = '0 1 2 3 4 5'
    new_boundary = '100 101 102 103 104 105'
  []
  [combined]
    type = MeshCollectionGenerator
    inputs = 'top_block_id bottom_block_change_boundary_id'
  []
  [block_rename]
    type = RenameBlockGenerator
    input = combined
    old_block = '1 2'
    new_block = 'top_block bottom_block'
  []
  [bottom_right_sideset]
    type = SideSetsAroundSubdomainGenerator
    input = block_rename
    new_boundary = bottom_right
    block = bottom_block
    normal = '1 0 0'
  []
  [bottom_left_sideset]
    type = SideSetsAroundSubdomainGenerator
    input = bottom_right_sideset
    new_boundary = bottom_left
    block = bottom_block
    normal = '-1 0 0'
  []
  [bottom_top_sideset]
    type = SideSetsAroundSubdomainGenerator
    input = bottom_left_sideset
    new_boundary = bottom_top
    block = bottom_block
    normal = '0 0 1'
  []
  [bottom_bottom_sideset]
    type = SideSetsAroundSubdomainGenerator
    input = bottom_top_sideset
    new_boundary = bottom_bottom
    block = bottom_block
    normal = '0  0 -1'
  []
  [bottom_front_sideset]
    type = SideSetsAroundSubdomainGenerator
    input = bottom_bottom_sideset
    new_boundary = bottom_front
    block = bottom_block
    normal = '0 1 0'
  []
  [bottom_back_sideset]
    type = SideSetsAroundSubdomainGenerator
    input = bottom_front_sideset
    new_boundary = bottom_back
    block = bottom_block
    normal = '0 -1 0'
  []
  [secondary]
    input = bottom_back_sideset
    type = LowerDBlockFromSidesetGenerator
    sidesets = 'top_bottom' # top_back top_left'
    new_block_id = '10001'
    new_block_name = 'secondary_lower'
  []
  [primary]
    input = secondary
    type = LowerDBlockFromSidesetGenerator
    sidesets = 'bottom_top'
    new_block_id = '10000'
    new_block_name = 'primary_lower'
  []
  allow_renumbering = false
[]

[Variables]

[]

[Physics/SolidMechanics/QuasiStatic]
  [all]
    add_variables = true
    strain = FINITE
    block = '1 2'
    use_automatic_differentiation = false
    generate_output = 'stress_xx stress_xy stress_xz stress_yy stress_zz'
  []
[]

[Materials]
  [tensor]
    type = ComputeIsotropicElasticityTensor
    block = '1'
    youngs_modulus = 1.0e5
    poissons_ratio = 0.0
  []
  [stress]
    type = ComputeFiniteStrainElasticStress
    block = '1'
  []

  [tensor_1000]
    type = ComputeIsotropicElasticityTensor
    block = '2'
    youngs_modulus = 1e5
    poissons_ratio = 0.0
  []
  [stress_1000]
    type = ComputeFiniteStrainElasticStress
    block = '2'
  []
[]

# Other object should mix formulations
[UserObjects]
  [friction_uo]
    type = PenaltyFrictionUserObject
    primary_boundary = 'bottom_top'
    secondary_boundary = 'top_bottom'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    disp_x = disp_x
    disp_y = disp_y
    disp_z = disp_z
    friction_coefficient = 0.4
    secondary_variable = disp_x
    penalty = 1e0
    penalty_friction = 1e1

    slip_tolerance = 7.0e-4 # 1e-6
    penetration_tolerance = 7.0e-4
    # max_penalty_multiplier = 10
    penalty_multiplier = 10
    penalty_multiplier_friction = 5
  []
[]

[Constraints]
  [normal_x]
    type = NormalMortarMechanicalContact
    primary_boundary = 'bottom_top'
    secondary_boundary = 'top_bottom'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    secondary_variable = disp_x
    component = x
    use_displaced_mesh = true
    compute_lm_residuals = false
    weighted_gap_uo = friction_uo
  []
  [normal_y]
    type = NormalMortarMechanicalContact
    primary_boundary = 'bottom_top'
    secondary_boundary = 'top_bottom'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    secondary_variable = disp_y
    component = y
    use_displaced_mesh = true
    compute_lm_residuals = false
    weighted_gap_uo = friction_uo
  []
  [normal_z]
    type = NormalMortarMechanicalContact
    primary_boundary = 'bottom_top'
    secondary_boundary = 'top_bottom'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    secondary_variable = disp_z
    component = z
    use_displaced_mesh = true
    compute_lm_residuals = false
    weighted_gap_uo = friction_uo
  []
  [tangential_x]
    type = TangentialMortarMechanicalContact
    primary_boundary = 'bottom_top'
    secondary_boundary = 'top_bottom'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    secondary_variable = disp_x
    component = x
    use_displaced_mesh = true
    compute_lm_residuals = false
    weighted_velocities_uo = friction_uo
  []
  [tangential_y]
    type = TangentialMortarMechanicalContact
    primary_boundary = 'bottom_top'
    secondary_boundary = 'top_bottom'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    secondary_variable = disp_y
    component = y
    use_displaced_mesh = true
    compute_lm_residuals = false
    weighted_velocities_uo = friction_uo
  []
  [tangential_z]
    type = TangentialMortarMechanicalContact
    primary_boundary = 'bottom_top'
    secondary_boundary = 'top_bottom'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    secondary_variable = disp_z
    component = z
    use_displaced_mesh = true
    compute_lm_residuals = false
    weighted_velocities_uo = friction_uo
  []
  [tangential_dir_x]
    type = TangentialMortarMechanicalContact
    primary_boundary = 'bottom_top'
    secondary_boundary = 'top_bottom'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    secondary_variable = disp_x
    component = x
    direction = direction_2
    use_displaced_mesh = true
    compute_lm_residuals = false
    weighted_velocities_uo = friction_uo
  []
  [tangential_dir_y]
    type = TangentialMortarMechanicalContact
    primary_boundary = 'bottom_top'
    secondary_boundary = 'top_bottom'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    secondary_variable = disp_y
    component = y
    direction = direction_2
    use_displaced_mesh = true
    compute_lm_residuals = false
    weighted_velocities_uo = friction_uo
  []
  [tangential_dir_z]
    type = TangentialMortarMechanicalContact
    primary_boundary = 'bottom_top'
    secondary_boundary = 'top_bottom'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    secondary_variable = disp_z
    component = z
    direction = direction_2
    use_displaced_mesh = true
    compute_lm_residuals = false
    weighted_velocities_uo = friction_uo
  []
[]

[BCs]
  [botx]
    type = DirichletBC
    variable = disp_x
    boundary = 'bottom_left bottom_right bottom_front bottom_back'
    value = 0.0
  []
  [boty]
    type = DirichletBC
    variable = disp_y
    boundary = 'bottom_left bottom_right bottom_front bottom_back'
    value = 0.0
  []
  [botz]
    type = DirichletBC
    variable = disp_z
    boundary = 'bottom_left bottom_right bottom_front bottom_back'
    value = 0.0
  []
  [topx]
    type = DirichletBC
    variable = disp_x
    boundary = 'top_top'
    value = 0.0
  []
  [topy]
    type = DirichletBC
    variable = disp_y
    boundary = 'top_top'
    value = 0.0
  []
  [topz]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'top_top'
    function = '-${starting_point} * sin(2 * pi / 40 * t) + ${offset}'
  []
[]

[Executioner]
  type = Transient
  end_time = .025
  dt = .025
  dtmin = .001
  solve_type = 'PJFNK'
  petsc_options = '-snes_converged_reason -ksp_converged_reason -snes_ksp_ew'
  petsc_options_iname = '-pc_type -pc_factor_mat_solver_type'
  petsc_options_value = 'lu       superlu_dist'
  l_max_its = 15
  nl_max_its = 90
  nl_rel_tol = 1e-12
  nl_abs_tol = 1e-13
  line_search = 'basic'
[]

[Debug]
  show_var_residual_norms = true
[]

[Outputs]
  exodus = true
  csv = true
[]

[Preconditioning]
  [smp]
    type = SMP
    full = true
  []
[]

[Postprocessors]
[]

[VectorPostprocessors]
[]

(modules/contact/test/tests/mortar_dynamics/block-dynamics-friction-creep.i)

starting_point = 1e-1
offset = -0.095

[GlobalParams]
  displacements = 'disp_x disp_y'
[]

[Mesh]
  file = long-bottom-block-1elem-blocks.e
[]

[Variables]
  [normal_lm]
    block = 3
    use_dual = true
  []
  [frictional_lm]
    block = 3
    use_dual = true
  []
[]

[AuxVariables]
  [creep_strain_xx]
    order = CONSTANT
    family = MONOMIAL
    block = '2'
  []
  [creep_strain_yy]
    order = CONSTANT
    family = MONOMIAL
    block = '2'
  []
  [creep_strain_xy]
    order = CONSTANT
    family = MONOMIAL
    block = '2'
  []
[]
[AuxKernels]
  [creep_strain_xx]
    type = RankTwoAux
    rank_two_tensor = creep_strain
    variable = creep_strain_xx
    index_i = 0
    index_j = 0
    block = '2'
  []
  [creep_strain_yy]
    type = RankTwoAux
    rank_two_tensor = creep_strain
    variable = creep_strain_yy
    index_i = 1
    index_j = 1
    block = '2'
  []
  [creep_strain_xy]
    type = RankTwoAux
    rank_two_tensor = creep_strain
    variable = creep_strain_xy
    index_i = 0
    index_j = 1
    block = '2'
  []
[]

[ICs]
  [disp_y]
    block = 2
    variable = disp_y
    value = '${fparse starting_point + offset}'
    type = ConstantIC
  []
[]

[Physics/SolidMechanics/Dynamic]
  [all]
    add_variables = true
    hht_alpha = 0.0
    newmark_beta = 0.25
    newmark_gamma = 0.5
    mass_damping_coefficient = 0.0
    stiffness_damping_coefficient = 0.01
    displacements = 'disp_x disp_y'
    generate_output = 'stress_xx stress_yy'
    block = '1 2'
    strain = FINITE
  []
[]

[Materials]
  [elasticity_2]
    type = ComputeIsotropicElasticityTensor
    block = '2'
    youngs_modulus = 1e6
    poissons_ratio = 0.3
  []
  [elasticity_1]
    type = ComputeIsotropicElasticityTensor
    block = '1'
    youngs_modulus = 1e8
    poissons_ratio = 0.3
  []
  [multiple_inelastic]
    type = ComputeMultipleInelasticStress
    inelastic_models = 'creep'
    block = '2'
  []
  [creep]
    type = PowerLawCreepStressUpdate
    coefficient = 1.0e-23 # 10e-24
    n_exponent = 4
    activation_energy = 0
    block = '2'
  []
  [stress]
    type = ComputeFiniteStrainElasticStress
    block = '1'
  []
  [density]
    type = GenericConstantMaterial
    block = '1 2'
    prop_names = 'density'
    prop_values = '775'
  []
[]

# User object provides the contact force (e.g. LM)
# for the application of the generalized force
[UserObjects]
  [weighted_vel_uo]
    type = LMWeightedVelocitiesUserObject
    primary_boundary = 20
    secondary_boundary = 10
    primary_subdomain = 4
    secondary_subdomain = 3
    lm_variable_normal = normal_lm
    lm_variable_tangential_one = frictional_lm
    secondary_variable = disp_x
    disp_x = disp_x
    disp_y = disp_y
  []
[]

[Constraints]
  [weighted_gap_lm]
    type = ComputeDynamicFrictionalForceLMMechanicalContact
    primary_boundary = 20
    secondary_boundary = 10
    primary_subdomain = 4
    secondary_subdomain = 3
    variable = normal_lm
    friction_lm = frictional_lm
    disp_x = disp_x
    disp_y = disp_y
    use_displaced_mesh = true
    c = 1e4
    c_t = 1e4
    mu = 0.5
    interpolate_normals = false
    newmark_beta = 0.25
    newmark_gamma = 0.5
    capture_tolerance = 1e-04
  []
  [normal_x]
    type = NormalMortarMechanicalContact
    primary_boundary = 20
    secondary_boundary = 10
    primary_subdomain = 4
    secondary_subdomain = 3
    variable = normal_lm
    secondary_variable = disp_x
    component = x
    use_displaced_mesh = true
    compute_lm_residuals = false
    weighted_gap_uo = weighted_vel_uo
  []
  [normal_y]
    type = NormalMortarMechanicalContact
    primary_boundary = 20
    secondary_boundary = 10
    primary_subdomain = 4
    secondary_subdomain = 3
    variable = normal_lm
    secondary_variable = disp_y
    component = y
    use_displaced_mesh = true
    compute_lm_residuals = false
    weighted_gap_uo = weighted_vel_uo
  []
  [tangential_x]
    type = TangentialMortarMechanicalContact
    primary_boundary = 20
    secondary_boundary = 10
    primary_subdomain = 4
    secondary_subdomain = 3
    variable = frictional_lm
    secondary_variable = disp_x
    component = x
    use_displaced_mesh = true
    compute_lm_residuals = false
    weighted_velocities_uo = weighted_vel_uo

  []
  [tangential_y]
    type = TangentialMortarMechanicalContact
    primary_boundary = 20
    secondary_boundary = 10
    primary_subdomain = 4
    secondary_subdomain = 3
    variable = frictional_lm
    secondary_variable = disp_y
    component = y
    use_displaced_mesh = true
    compute_lm_residuals = false
    weighted_velocities_uo = weighted_vel_uo
  []
[]

[BCs]
  [botx]
    type = DirichletBC
    variable = disp_x
    boundary = 40
    value = 0.0
  []
  [boty]
    type = DirichletBC
    variable = disp_y
    boundary = 40
    value = 0.0
  []
  [topy]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 30
    function = '${starting_point} * cos(2 * pi / 4 * t) + ${offset}'
  []
  [leftx]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 30 # 50
    function =  '1e-2*t' #'0.1 *sin(2 * pi / 12 * t)'
  []
[]

[Executioner]
  type = Transient
  end_time = 0.25
  dt = 0.05
  dtmin = 0.05
  solve_type = 'PJFNK'
  petsc_options = '-snes_converged_reason -ksp_converged_reason -pc_svd_monitor '
                  '-snes_linesearch_monitor -snes_ksp_ew'
  petsc_options_iname = '-pc_type -pc_factor_shift_type -pc_factor_shift_amount -mat_mffd_err '
  petsc_options_value = 'lu       NONZERO               1e-15                   1e-5'
  nl_max_its = 50
  line_search = 'none'
  snesmf_reuse_base = false

  [TimeIntegrator]
    type = NewmarkBeta
    beta = 0.25
    gamma = 0.5
  []
[]

[Debug]
  show_var_residual_norms = true
[]

[Outputs]
  exodus = true
  checkpoint = true
[]

[Preconditioning]
  [smp]
    type = SMP
    full = true
  []
[]

[Postprocessors]
  active = 'num_nl cumulative contact'
  [num_nl]
    type = NumNonlinearIterations
  []
  [cumulative]
    type = CumulativeValuePostprocessor
    postprocessor = num_nl
  []
  [contact]
    type = ContactDOFSetSize
    variable = normal_lm
    subdomain = '3'
    execute_on = 'nonlinear timestep_end'
  []
[]

(modules/solid_mechanics/test/tests/crystal_plasticity/hcp_twinning/modified_kalidindi_for_hcp.i)

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]

[Mesh]
  [single_xtal]
    type = GeneratedMeshGenerator
    dim = 3
    nx = 2
    ny = 2
    nz = 2
    elem_type = HEX8
  []
[]

[AuxVariables]
  [temperature]
    initial_condition = 300
  []
  [pk2]
    order = CONSTANT
    family = MONOMIAL
  []
  [fp_xx]
    order = CONSTANT
    family = MONOMIAL
  []
  [fp_zz]
    order = CONSTANT
    family = MONOMIAL
  []
  [e_zz]
    order = CONSTANT
    family = MONOMIAL
  []
  [total_twin_volume_fraction]
    order = CONSTANT
    family = MONOMIAL
  []
  [twin_volume_fraction_0]
   order = CONSTANT
   family = MONOMIAL
  []
  [twin_volume_fraction_1]
   order = CONSTANT
   family = MONOMIAL
  []
  [twin_volume_fraction_2]
   order = CONSTANT
   family = MONOMIAL
  []
  [twin_volume_fraction_3]
   order = CONSTANT
   family = MONOMIAL
  []
  [twin_volume_fraction_4]
   order = CONSTANT
   family = MONOMIAL
  []
  [twin_volume_fraction_5]
   order = CONSTANT
   family = MONOMIAL
  []
  [twin_increment_0]
    order = CONSTANT
    family = MONOMIAL
  []
  [twin_increment_1]
    order = CONSTANT
    family = MONOMIAL
  []
  [twin_increment_2]
    order = CONSTANT
    family = MONOMIAL
  []
  [twin_increment_3]
    order = CONSTANT
    family = MONOMIAL
  []
  [twin_increment_4]
    order = CONSTANT
    family = MONOMIAL
  []
  [twin_increment_5]
    order = CONSTANT
    family = MONOMIAL
  []
  [twin_resistance_0]
    order = CONSTANT
    family = MONOMIAL
  []
  [twin_resistance_1]
    order = CONSTANT
    family = MONOMIAL
  []
  [twin_resistance_2]
    order = CONSTANT
    family = MONOMIAL
  []
  [twin_resistance_3]
    order = CONSTANT
    family = MONOMIAL
  []
  [twin_resistance_4]
    order = CONSTANT
    family = MONOMIAL
  []
  [twin_resistance_5]
    order = CONSTANT
    family = MONOMIAL
  []
  [resolved_twin_stress_0]
    order = CONSTANT
    family = MONOMIAL
  []
  [resolved_twin_stress_1]
    order = CONSTANT
    family = MONOMIAL
  []
  [resolved_twin_stress_2]
    order = CONSTANT
    family = MONOMIAL
  []
  [resolved_twin_stress_3]
    order = CONSTANT
    family = MONOMIAL
  []
  [resolved_twin_stress_4]
    order = CONSTANT
    family = MONOMIAL
  []
  [resolved_twin_stress_5]
    order = CONSTANT
    family = MONOMIAL
  []
[]

[Physics/SolidMechanics/QuasiStatic/all]
  strain = FINITE
  add_variables = true
  generate_output = stress_zz
[]

[AuxKernels]
  [pk2]
    type = RankTwoAux
    variable = pk2
    rank_two_tensor = second_piola_kirchhoff_stress
    index_j = 2
    index_i = 2
    execute_on = timestep_end
  []
  [fp_xx]
    type = RankTwoAux
    variable = fp_xx
    rank_two_tensor = plastic_deformation_gradient
    index_j = 0
    index_i = 0
    execute_on = timestep_end
  []
  [fp_zz]
    type = RankTwoAux
    variable = fp_zz
    rank_two_tensor = plastic_deformation_gradient
    index_j = 2
    index_i = 2
    execute_on = timestep_end
  []
  [e_zz]
    type = RankTwoAux
    variable = e_zz
    rank_two_tensor = total_lagrangian_strain
    index_j = 2
    index_i = 2
    execute_on = timestep_end
  []
  [total_twin_volume_fraction]
    type = MaterialRealAux
    variable = total_twin_volume_fraction
    property = twin_total_volume_fraction_twins
    execute_on = timestep_end
  []
  [twin_volume_fraction_0]
   type = MaterialStdVectorAux
   variable = twin_volume_fraction_0
   property = twin_twin_system_volume_fraction
   index = 0
   execute_on = timestep_end
  []
  [twin_volume_fraction_1]
   type = MaterialStdVectorAux
   variable = twin_volume_fraction_1
   property = twin_twin_system_volume_fraction
   index = 1
   execute_on = timestep_end
  []
  [twin_volume_fraction_2]
   type = MaterialStdVectorAux
   variable = twin_volume_fraction_2
   property = twin_twin_system_volume_fraction
   index = 2
   execute_on = timestep_end
  []
  [twin_volume_fraction_3]
   type = MaterialStdVectorAux
   variable = twin_volume_fraction_3
   property = twin_twin_system_volume_fraction
   index = 3
   execute_on = timestep_end
  []
  [twin_volume_fraction_4]
   type = MaterialStdVectorAux
   variable = twin_volume_fraction_4
   property = twin_twin_system_volume_fraction
   index = 4
   execute_on = timestep_end
  []
  [twin_volume_fraction_5]
   type = MaterialStdVectorAux
   variable = twin_volume_fraction_5
   property = twin_twin_system_volume_fraction
   index = 5
   execute_on = timestep_end
  []
  [twin_resistance_0]
    type = MaterialStdVectorAux
    variable = twin_resistance_0
    property = twin_slip_resistance
    index = 0
    execute_on = timestep_end
  []
  [twin_resistance_1]
    type = MaterialStdVectorAux
    variable = twin_resistance_1
    property = twin_slip_resistance
    index = 1
    execute_on = timestep_end
  []
  [twin_resistance_2]
    type = MaterialStdVectorAux
    variable = twin_resistance_2
    property = twin_slip_resistance
    index = 2
    execute_on = timestep_end
  []
  [twin_resistance_3]
    type = MaterialStdVectorAux
    variable = twin_resistance_3
    property = twin_slip_resistance
    index = 3
    execute_on = timestep_end
  []
  [twin_resistance_4]
    type = MaterialStdVectorAux
    variable = twin_resistance_4
    property = twin_slip_resistance
    index = 4
    execute_on = timestep_end
  []
  [twin_resistance_5]
    type = MaterialStdVectorAux
    variable = twin_resistance_5
    property = twin_slip_resistance
    index = 5
    execute_on = timestep_end
  []
  [twin_increment_0]
    type = MaterialStdVectorAux
    variable = twin_increment_0
    property = twin_slip_increment
    index = 0
    execute_on = timestep_end
  []
  [twin_increment_1]
    type = MaterialStdVectorAux
    variable = twin_increment_1
    property = twin_slip_increment
    index = 1
    execute_on = timestep_end
  []
  [twin_increment_2]
    type = MaterialStdVectorAux
    variable = twin_increment_2
    property = twin_slip_increment
    index = 2
    execute_on = timestep_end
  []
  [twin_increment_3]
    type = MaterialStdVectorAux
    variable = twin_increment_3
    property = twin_slip_increment
    index = 3
    execute_on = timestep_end
  []
  [twin_increment_4]
    type = MaterialStdVectorAux
    variable = twin_increment_4
    property = twin_slip_increment
    index = 4
    execute_on = timestep_end
  []
  [twin_increment_5]
    type = MaterialStdVectorAux
    variable = twin_increment_5
    property = twin_slip_increment
    index = 5
    execute_on = timestep_end
  []
  [twin_tau_0]
    type = MaterialStdVectorAux
    variable = resolved_twin_stress_0
    property = twin_applied_shear_stress
    index = 0
    execute_on = timestep_end
  []
  [twin_tau_1]
    type = MaterialStdVectorAux
    variable = resolved_twin_stress_1
    property = twin_applied_shear_stress
    index = 1
    execute_on = timestep_end
  []
  [twin_tau_2]
    type = MaterialStdVectorAux
    variable = resolved_twin_stress_2
    property = twin_applied_shear_stress
    index = 2
    execute_on = timestep_end
  []
  [twin_tau_3]
    type = MaterialStdVectorAux
    variable = resolved_twin_stress_3
    property = twin_applied_shear_stress
    index = 3
    execute_on = timestep_end
  []
  [twin_tau_4]
    type = MaterialStdVectorAux
    variable = resolved_twin_stress_4
    property = twin_applied_shear_stress
    index = 4
    execute_on = timestep_end
  []
  [twin_tau_5]
    type = MaterialStdVectorAux
    variable = resolved_twin_stress_5
    property = twin_applied_shear_stress
    index = 5
    execute_on = timestep_end
  []
[]

[BCs]
  [symmy]
    type = DirichletBC
    variable = disp_y
    preset = true
    boundary = bottom
    value = 0
  []
  [symmx]
    type = DirichletBC
    variable = disp_x
    boundary = left
    value = 0
  []
  [symmz]
    type = DirichletBC
    variable = disp_z
    boundary = back
    value = 0
  []
  [tdisp]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = front
    function = '0.01*t'
  []
[]

[Materials]
  [elasticity_tensor]
    type = ComputeElasticityTensorCP
    C_ijkl = '1.622e5 9.18e4 6.88e4 1.622e5 6.88e4 1.805e5 4.67e4 4.67e4 4.67e4' #alpha Ti, Alankar et al. Acta Materialia 59 (2011) 7003-7009
    fill_method = symmetric9
  []
  [stress]
    type = ComputeMultipleCrystalPlasticityStress
    crystal_plasticity_models = 'twin_xtalpl'
    tan_mod_type = exact
  []
  [twin_xtalpl]
    type = CrystalPlasticityTwinningKalidindiUpdate
    base_name = twin
    crystal_lattice_type = HCP
    unit_cell_dimension = '2.934e-7 2.934e-7 4.657e-7' #Ti, in mm, https://materialsproject.org/materials/mp-46/
    number_slip_systems = 6
    slip_sys_file_name = 'hcp_tensile_twin_systems.txt'
    initial_twin_lattice_friction = 1140
    non_coplanar_coefficient_twin_hardening = 10000
    coplanar_coefficient_twin_hardening = 1000
    characteristic_twin_shear = 0.167
  []
[]

[Postprocessors]
  [stress_zz]
    type = ElementAverageValue
    variable = stress_zz
  []
  [pk2]
    type = ElementAverageValue
    variable = pk2
  []
  [fp_xx]
    type = ElementAverageValue
    variable = fp_xx
  []
  [fp_zz]
    type = ElementAverageValue
    variable = fp_zz
  []
  [e_zz]
    type = ElementAverageValue
    variable = e_zz
  []
  [total_twin_volume_fraction]
    type = ElementAverageValue
    variable = total_twin_volume_fraction
  []
  [twin_volume_fraction_0]
    type = ElementAverageValue
    variable = twin_volume_fraction_0
  []
  [twin_volume_fraction_1]
    type = ElementAverageValue
    variable = twin_volume_fraction_1
  []
  [twin_volume_fraction_2]
    type = ElementAverageValue
    variable = twin_volume_fraction_2
  []
  [twin_volume_fraction_3]
    type = ElementAverageValue
    variable = twin_volume_fraction_3
  []
  [twin_volume_fraction_4]
    type = ElementAverageValue
    variable = twin_volume_fraction_4
  []
  [twin_volume_fraction_5]
    type = ElementAverageValue
    variable = twin_volume_fraction_5
  []
  [twin_resistance_0]
    type = ElementAverageValue
    variable = twin_resistance_0
  []
  [twin_resistance_1]
    type = ElementAverageValue
    variable = twin_resistance_1
  []
  [twin_resistance_2]
    type = ElementAverageValue
    variable = twin_resistance_2
  []
  [twin_resistance_3]
    type = ElementAverageValue
    variable = twin_resistance_3
  []
  [twin_resistance_4]
    type = ElementAverageValue
    variable = twin_resistance_4
  []
  [twin_resistance_5]
    type = ElementAverageValue
    variable = twin_resistance_5
  []
  [twin_increment_0]
    type = ElementAverageValue
    variable = twin_increment_0
  []
  [twin_increment_1]
    type = ElementAverageValue
    variable = twin_increment_1
  []
  [twin_increment_2]
    type = ElementAverageValue
    variable = twin_increment_2
  []
  [twin_increment_3]
    type = ElementAverageValue
    variable = twin_increment_3
  []
  [twin_increment_4]
    type = ElementAverageValue
    variable = twin_increment_4
  []
  [twin_increment_5]
    type = ElementAverageValue
    variable = twin_increment_5
  []
  [twin_tau_0]
    type = ElementAverageValue
    variable = resolved_twin_stress_0
  []
  [twin_tau_1]
    type = ElementAverageValue
    variable = resolved_twin_stress_1
  []
  [twin_tau_2]
    type = ElementAverageValue
    variable = resolved_twin_stress_2
  []
  [twin_tau_3]
    type = ElementAverageValue
    variable = resolved_twin_stress_3
  []
  [twin_tau_4]
    type = ElementAverageValue
    variable = resolved_twin_stress_4
  []
  [twin_tau_5]
    type = ElementAverageValue
    variable = resolved_twin_stress_5
  []
[]

[Preconditioning]
  [smp]
    type = SMP
    full = true
  []
[]

[Executioner]
  type = Transient
  solve_type = 'PJFNK'

  petsc_options_iname = '-pc_type -pc_asm_overlap -sub_pc_type -ksp_type -ksp_gmres_restart'
  petsc_options_value = ' asm      2              lu            gmres     200'
  nl_abs_tol = 1e-10
  nl_rel_tol = 1e-10
  nl_abs_step_tol = 1e-10

  dt = 0.5
  dtmin = 1.0e-2
  dtmax = 10.0
  end_time = 2.5
[]

[Outputs]
  csv = true
[]

(modules/solid_mechanics/test/tests/lagrangian/cartesian/total/convergence/L/large.i)

[Mesh]
  type = FileMesh
  file = 'L.exo'
[]

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
  large_kinematics = true
[]

[Variables]
  [disp_x]
  []
  [disp_y]
  []
  [disp_z]
  []
[]

[Functions]
  [pfn]
    type = PiecewiseLinear
    x = '0    1    2'
    y = '0.00 0.3 0.5'
  []
[]

[Kernels]
  [sdx]
    type = TotalLagrangianStressDivergence
    variable = disp_x
    component = 0
  []
  [sdy]
    type = TotalLagrangianStressDivergence
    variable = disp_y
    component = 1
  []
  [sdz]
    type = TotalLagrangianStressDivergence
    variable = disp_z
    component = 2
  []
[]

[BCs]
  [left]
    type = DirichletBC
    preset = true
    variable = disp_x
    boundary = fix
    value = 0.0
  []

  [bottom]
    type = DirichletBC
    preset = true
    variable = disp_y
    boundary = fix
    value = 0.0
  []

  [back]
    type = DirichletBC
    preset = true
    variable = disp_z
    boundary = fix
    value = 0.0
  []

  [front]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = pull
    function = pfn
    preset = true
  []
[]

[Materials]
  [elastic_tensor]
    type = ComputeIsotropicElasticityTensor
    youngs_modulus = 100000.0
    poissons_ratio = 0.25
  []
  [compute_stress]
    type = ComputeLagrangianLinearElasticStress
  []
  [compute_strain]
    type = ComputeLagrangianStrain
  []
[]

[Preconditioning]
  [smp]
    type = SMP
    full = true
  []
[]

[Executioner]
  type = Transient

  solve_type = 'newton'

  petsc_options_iname = -pc_type
  petsc_options_value = lu

  nl_abs_tol = 1e-10
  nl_rel_tol = 1e-8

  end_time = 1.0
  dtmin = 0.5
  dt = 0.5
[]

[Postprocessors]
  [nonlin]
    type = NumNonlinearIterations
  []
[]

[Outputs]
  exodus = false
  csv = true
[]

(modules/porous_flow/examples/tidal/atm_tides_open_hole.i)

# A 100m x 10m "slab" of height 100m is subjected to cyclic pressure at its top
# Assumptions:
# the boundaries are impermeable, except the top boundary
# only vertical displacement is allowed
# the atmospheric pressure sets the total stress at the top of the model
# at the slab left-hand side there is a borehole that taps into the base of the slab.
[Mesh]
  [the_mesh]
    type = GeneratedMeshGenerator
    dim = 3
    nx = 10
    ny = 1
    nz = 10
    xmin = 0
    xmax = 100
    ymin = -5
    ymax = 5
    zmin = -100
    zmax = 0
  []
  [bh_back]
    type = ExtraNodesetGenerator
    coord = '0 -5 -100'
    input = the_mesh
    new_boundary = 11
  []
[]

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
  PorousFlowDictator = dictator
  block = 0
  biot_coefficient = 0.6
  multiply_by_density = false
[]

[Variables]
  [disp_x]
  []
  [disp_y]
  []
  [disp_z]
  []
  [porepressure]
    scaling = 1E11
  []
[]

[ICs]
  [porepressure]
    type = FunctionIC
    variable = porepressure
    function = '-10000*z'  # this is only approximately correct
  []
[]

[Functions]
  [ini_stress_zz]
    type = ParsedFunction
    expression = '(25000 - 0.6*10000)*z' # remember this is effective stress
  []
  [cyclic_porepressure]
    type = ParsedFunction
    expression = 'if(t>0,5000 * sin(2 * pi * t / 3600.0 / 24.0),0)'
  []
  [cyclic_porepressure_at_depth]
    type = ParsedFunction
    expression = '-10000*z + if(t>0,5000 * sin(2 * pi * t / 3600.0 / 24.0),0)'
  []
  [neg_cyclic_porepressure]
    type = ParsedFunction
    expression = '-if(t>0,5000 * sin(2 * pi * t / 3600.0 / 24.0),0)'
  []
[]

[BCs]
  # zmin is called 'back'
  # zmax is called 'front'
  # ymin is called 'bottom'
  # ymax is called 'top'
  # xmin is called 'left'
  # xmax is called 'right'
  [no_x_disp]
    type = DirichletBC
    variable = disp_x
    value = 0
    boundary = 'bottom top' # because of 1-element meshing, this fixes u_x=0 everywhere
  []
  [no_y_disp]
    type = DirichletBC
    variable = disp_y
    value = 0
    boundary = 'bottom top' # because of 1-element meshing, this fixes u_y=0 everywhere
  []
  [no_z_disp_at_bottom]
    type = DirichletBC
    variable = disp_z
    value = 0
    boundary = back
  []
  [pp]
    type = FunctionDirichletBC
    variable = porepressure
    function = cyclic_porepressure
    boundary = front
  []
  [pp_downhole]
    type = FunctionDirichletBC
    variable = porepressure
    function = cyclic_porepressure_at_depth
    boundary = 11
  []
  [total_stress_at_top]
    type = FunctionNeumannBC
    variable = disp_z
    function = neg_cyclic_porepressure
    boundary = front
  []
[]

[FluidProperties]
  [the_simple_fluid]
    type = SimpleFluidProperties
    thermal_expansion = 0.0
    bulk_modulus = 2E9
    viscosity = 1E-3
    density0 = 1000.0
  []
[]

[PorousFlowBasicTHM]
  coupling_type = HydroMechanical
  displacements = 'disp_x disp_y disp_z'
  porepressure = porepressure
  gravity = '0 0 -10'
  fp = the_simple_fluid
[]

[Materials]
  [elasticity_tensor]
    type = ComputeIsotropicElasticityTensor
    bulk_modulus = 10.0E9 # drained bulk modulus
    poissons_ratio = 0.25
  []
  [strain]
    type = ComputeSmallStrain
    eigenstrain_names = ini_stress
  []
  [stress]
    type = ComputeLinearElasticStress
  []
  [ini_stress]
    type = ComputeEigenstrainFromInitialStress
    initial_stress = '0 0 0  0 0 0  0 0 ini_stress_zz'
    eigenstrain_name = ini_stress
  []
  [porosity]
    type = PorousFlowPorosityConst # only the initial value of this is ever used
    porosity = 0.1
  []
  [biot_modulus]
    type = PorousFlowConstantBiotModulus
    solid_bulk_compliance = 1E-10
    fluid_bulk_modulus = 2E9
  []
  [permeability]
    type = PorousFlowPermeabilityConst
    permeability = '1E-14 0 0   0 1E-14 0   0 0 1E-14'
  []
  [density]
    type = GenericConstantMaterial
    prop_names = density
    prop_values = 2500.0
  []
[]

[Postprocessors]
  [p0_0]
    type = PointValue
    outputs = csv
    point = '0 0 0'
    variable = porepressure
  []
  [p100_0]
    type = PointValue
    outputs = csv
    point = '100 0 0'
    variable = porepressure
  []
  [p0_100]
    type = PointValue
    outputs = csv
    point = '0 0 -100'
    variable = porepressure
  []
  [p100_100]
    type = PointValue
    outputs = csv
    point = '100 0 -100'
    variable = porepressure
  []
  [uz0]
    type = PointValue
    outputs = csv
    point = '0 0 0'
    variable = disp_z
  []
  [uz100]
    type = PointValue
    outputs = csv
    point = '100 0 0'
    variable = disp_z
  []
[]


[Preconditioning]
  [andy]
    type = SMP
    full = true
  []
[]

[Executioner]
  type = Transient
  solve_type = Newton
  start_time = -3600
  dt = 3600
  end_time = 172800
  nl_rel_tol = 1E-10
  nl_abs_tol = 1E-5
[]

[Outputs]
  print_linear_residuals = false
  csv = true
[]

(modules/contact/test/tests/mortar_tm/2drz/frictionless_first/finite.i)

E_block = 1e7
E_plank = 1e7
elem = QUAD4
order = FIRST
name = 'finite'

[Problem]
  coord_type = RZ
[]

[Mesh]
  patch_size = 80
  patch_update_strategy = auto
  [plank]
    type = GeneratedMeshGenerator
    dim = 2
    xmin = 0
    xmax = 0.6
    ymin = -10
    ymax = 10
    nx = 2
    ny = 67
    elem_type = ${elem}
    boundary_name_prefix = plank
  []
  [plank_id]
    type = SubdomainIDGenerator
    input = plank
    subdomain_id = 1
  []

  [block]
    type = GeneratedMeshGenerator
    dim = 2
    xmin = 0.61
    xmax = 1.21
    ymin = 9.2
    ymax = 10.0
    nx = 3
    ny = 4
    elem_type = ${elem}
    boundary_name_prefix = block
    boundary_id_offset = 10
  []
  [block_id]
    type = SubdomainIDGenerator
    input = block
    subdomain_id = 2
  []

  [combined]
    type = MeshCollectionGenerator
    inputs = 'plank_id block_id'
  []
  [block_rename]
    type = RenameBlockGenerator
    input = combined
    old_block = '1 2'
    new_block = 'plank block'
  []
[]

[GlobalParams]
  displacements = 'disp_x disp_y'
[]

[Variables]
  [disp_x]
    order = ${order}
    block = 'plank block'
    scaling = '${fparse 2.0 / (E_plank + E_block)}'
  []
  [disp_y]
    order = ${order}
    block = 'plank block'
    scaling = '${fparse 2.0 / (E_plank + E_block)}'
  []
[]

[Physics/SolidMechanics/QuasiStatic]
  [block]
    strain = FINITE
    generate_output = 'stress_xx stress_yy stress_zz vonmises_stress hydrostatic_stress strain_xx '
                      'strain_yy strain_zz'
    block = 'block'
  []
  [plank]
    strain = FINITE
    generate_output = 'stress_xx stress_yy stress_zz vonmises_stress hydrostatic_stress strain_xx '
                      'strain_yy strain_zz'
    block = 'plank'
    eigenstrain_names = 'swell'
  []
[]

[Contact]
  [frictionless]
    primary = plank_right
    secondary = block_left
    formulation = mortar
    c_normal = 1e0
  []
[]

[BCs]
  [left_x]
    type = DirichletBC
    variable = disp_x
    boundary = plank_left
    value = 0.0
  []
  [left_y]
    type = DirichletBC
    variable = disp_y
    boundary = plank_bottom
    value = 0.0
  []
  [right_x]
    type = DirichletBC
    variable = disp_x
    boundary = block_right
    value = 0
  []
  [right_y]
    type = FunctionDirichletBC
    variable = disp_y
    preset = false
    boundary = block_right
    function = '-t'
  []
[]

[Materials]
  [plank]
    type = ComputeIsotropicElasticityTensor
    block = 'plank'
    poissons_ratio = 0.3
    youngs_modulus = ${E_plank}
  []
  [block]
    type = ComputeIsotropicElasticityTensor
    block = 'block'
    poissons_ratio = 0.3
    youngs_modulus = ${E_block}
  []
  [stress]
    type = ComputeFiniteStrainElasticStress
    block = 'plank block'
  []
  [swell]
    type = ComputeEigenstrain
    block = 'plank'
    eigenstrain_name = swell
    eigen_base = '1 0 0 0 0 0 0 0 0'
    prefactor = swell_mat
  []
  [swell_mat]
    type = GenericFunctionMaterial
    prop_names = 'swell_mat'
    prop_values = '7e-2*(1-cos(4*t))'
    block = 'plank'
  []
[]

[Preconditioning]
  [smp]
    type = SMP
    full = true
  []
[]

[Executioner]
  type = Transient
  solve_type = 'PJFNK'
  petsc_options = '-snes_converged_reason -ksp_converged_reason'
  petsc_options_iname = '-pc_type -mat_mffd_err -pc_factor_shift_type -pc_factor_shift_amount'
  petsc_options_value = 'lu       1e-5          NONZERO               1e-15'
  end_time = 5
  dt = 0.1
  dtmin = 0.1
  timestep_tolerance = 1e-6
  line_search = 'contact'
[]

[Postprocessors]
  [nl_its]
    type = NumNonlinearIterations
  []
  [total_nl_its]
    type = CumulativeValuePostprocessor
    postprocessor = nl_its
  []
  [l_its]
    type = NumLinearIterations
  []
  [total_l_its]
    type = CumulativeValuePostprocessor
    postprocessor = l_its
  []
  [contact]
    type = ContactDOFSetSize
    variable = frictionless_normal_lm
    subdomain = frictionless_secondary_subdomain
  []
  [avg_hydro]
    type = ElementAverageValue
    variable = hydrostatic_stress
    block = 'block'
  []
  [max_hydro]
    type = ElementExtremeValue
    variable = hydrostatic_stress
    block = 'block'
  []
  [min_hydro]
    type = ElementExtremeValue
    variable = hydrostatic_stress
    block = 'block'
    value_type = min
  []
  [avg_vonmises]
    type = ElementAverageValue
    variable = vonmises_stress
    block = 'block'
  []
  [max_vonmises]
    type = ElementExtremeValue
    variable = vonmises_stress
    block = 'block'
  []
  [min_vonmises]
    type = ElementExtremeValue
    variable = vonmises_stress
    block = 'block'
    value_type = min
  []
[]

[Outputs]
  file_base = ${name}
  [comp]
    type = CSV
    show = 'contact'
  []
  [out]
    type = CSV
    file_base = '${name}_out'
  []
[]

[Debug]
  show_var_residual_norms = true
[]

(modules/contact/test/tests/sliding_block/sliding/frictionless_penalty.i)

#  This is a benchmark test that checks constraint based frictionless
#  contact using the penalty method.  In this test a constant
#  displacement is applied in the horizontal direction to simulate
#  a small block come sliding down a larger block.
#
#  The gold file is run on one processor
#  and the benchmark case is run on a minimum of 4 processors to ensure no
#  parallel variability in the contact pressure and penetration results.
#

[Mesh]
  file = sliding_elastic_blocks_2d.e
  patch_size = 80
[]

[GlobalParams]
  volumetric_locking_correction = false
  displacements = 'disp_x disp_y'
[]

[AuxVariables]
  [./penetration]
  [../]
  [./inc_slip_x]
  [../]
  [./inc_slip_y]
  [../]
  [./accum_slip_x]
  [../]
  [./accum_slip_y]
  [../]
[]

[Functions]
  [./vertical_movement]
    type = ParsedFunction
    expression = -t
  [../]
[]

[Physics/SolidMechanics/QuasiStatic]
  [./all]
    add_variables = true
    strain = FINITE
  [../]
[]

[AuxKernels]
  [./zeroslip_x]
    type = ConstantAux
    variable = inc_slip_x
    boundary = 3
    execute_on = timestep_begin
    value = 0.0
  [../]
  [./zeroslip_y]
    type = ConstantAux
    variable = inc_slip_y
    boundary = 3
    execute_on = timestep_begin
    value = 0.0
  [../]
  [./accum_slip_x]
    type = AccumulateAux
    variable = accum_slip_x
    accumulate_from_variable = inc_slip_x
    execute_on = timestep_end
  [../]
  [./accum_slip_y]
    type = AccumulateAux
    variable = accum_slip_y
    accumulate_from_variable = inc_slip_y
    execute_on = timestep_end
  [../]
  [./penetration]
    type = PenetrationAux
    variable = penetration
    boundary = 3
    paired_boundary = 2
  [../]
[]

[Postprocessors]
  [./nonlinear_its]
    type = NumNonlinearIterations
    execute_on = timestep_end
  [../]
  [./penetration]
    type = NodalVariableValue
    variable = penetration
    nodeid = 222
  [../]
  [./contact_pressure]
    type = NodalVariableValue
    variable = contact_pressure
    nodeid = 222
  [../]
[]

[BCs]
  [./left_x]
    type = DirichletBC
    variable = disp_x
    boundary = 1
    value = 0.0
  [../]
  [./left_y]
    type = DirichletBC
    variable = disp_y
    boundary = 1
    value = 0.0
  [../]
  [./right_x]
    type = DirichletBC
    variable = disp_x
    boundary = 4
    value = -0.02
  [../]
  [./right_y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 4
    function = vertical_movement
  [../]
[]

[Materials]
  [./left]
    type = ComputeIsotropicElasticityTensor
    block = '1 2'
    youngs_modulus = 1e6
    poissons_ratio = 0.3
  [../]
  [./left_stress]
    type = ComputeFiniteStrainElasticStress
    block = '1 2'
  [../]
[]

[Executioner]
  type = Transient
  solve_type = 'PJFNK'

  petsc_options = '-snes_ksp_ew'
  petsc_options_iname = '-pc_type -pc_factor_mat_solver_type'
  petsc_options_value = 'lu     superlu_dist'

  line_search = 'none'

  l_max_its = 100
  nl_max_its = 1000
  dt = 0.1
  end_time = 15
  num_steps = 1000
  l_tol = 1e-6
  nl_rel_tol = 1e-10
  nl_abs_tol = 1e-6
  dtmin = 0.01

  [./Predictor]
    type = SimplePredictor
    scale = 1.0
  [../]
[]

[Outputs]
  time_step_interval = 10
  [./out]
    type = Exodus
    elemental_as_nodal = true
  [../]
  [./console]
    type = Console
    max_rows = 5
  [../]
[]

[Contact]
  [./leftright]
    secondary = 3
    primary = 2
    model = frictionless
    penalty = 1e+7
    formulation = penalty
    normal_smoothing_distance = 0.1
  [../]
[]

(modules/xfem/test/tests/moving_interface/verification/1D_xy_discrete2mat.i)

# ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ #
# XFEM Moving Interface Verification Problem
# Dimensionality:                                   quasi-1D
# Coordinate System:                                      xy
# Material Numbers/Types:discrete homog 2 material, 2 region
# Element Order:                                         1st
# Interface Characteristics: u independent, prescribed level set function
# Description
#   A transient heat transfer problem in Cartesian coordinates designed with
#   the Method of Manufactured Solutions. This problem was developed to verify
#   XFEM performance in the presence of a moving interface separating two
#   discrete material regions for linear element models. Both the temperature
#   solution and level set function are designed to be linear to attempt to
#   minimize error between the exact solution and XFEM results. Thermal
#   conductivity, density, and heat capacity are homogeneous in each material
#   region with a discontinuous jump in thermal flux between the two material
#   regions.
# Results:
#   The temperature at the left boundary is determined by the analytical
#   solution, so temperature at the right boundary (x=1) should exhibit the
#   largest difference between the analytical solution and XFEM results. We
#   present the analytical and XFEM results at the material interface position
#   and right side boundary at various times.
#  Interface:
#     Time    Expected Temperature    XFEM Calculated Temperature
#       20       746.75                  746.7235521
#       40       893.05                  893.0379081
#       60      1040.15                 1040.1527530
#
#  Right Boundary (x=1):
#     Time    Expected Temperature    XFEM Calculated Temperature
#       20       720                     719.9708681
#       40       840                     839.9913293
#       60       960                     960.0100886
#
# IMPORTANT NOTE:
#   When running this input file, add the --allow-test-objects tag!!!
# ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ #

[GlobalParams]
  order = FIRST
  family = LAGRANGE
[]

[Mesh]
  type = GeneratedMesh
  dim = 2
  nx = 20
  ny = 1
  xmin = 0.0
  xmax = 1.0
  ymin = 0.0
  ymax = 0.5
  elem_type = QUAD4
[]

[XFEM]
  qrule = moment_fitting
  output_cut_plane = true
[]

[UserObjects]
  [./level_set_cut_uo]
    type = LevelSetCutUserObject
    level_set_var = phi
    heal_always = true
  [../]
[]

[Variables]
  [./u]
  [../]
[]

[AuxVariables]
  [./phi]
    order = FIRST
    family = LAGRANGE
  [../]
[]

[Kernels]
  [./heat_cond]
    type = MatDiffusion
    variable = u
    diffusivity = 'diffusion_coefficient'
  [../]
  [./vol_heat_src]
    type = BodyForce
    variable = u
    function = src_func
  [../]
  [./mat_time_deriv]
    type = TestMatTimeDerivative
    variable = u
    mat_prop_value = rhoCp
  [../]
[]

[AuxKernels]
  [./ls_function]
    type = FunctionAux
    variable = phi
    function = ls_func
  [../]
[]

[Constraints]
  [./xfem_constraint]
    type = XFEMSingleVariableConstraint
    variable = u
    geometric_cut_userobject = 'level_set_cut_uo'
    jump_flux = jump_flux_func
    use_penalty = true
    alpha = 1e5
  [../]
[]

[Functions]
  [./src_func]
    type = ParsedFunction
    expression = 'phi:=(0.75-x-0.001*t);
        i:=(0.75-0.001*t);
        if (phi>=0,
            10*(8-x),
            (7/(1-i))*((i-2)*x + (8-7*i)) )'
  [../]
  [./right_du_func]
    type = ParsedFunction
    expression = 'i:=(0.75-0.001*t);
        (2.0/(1-i))*(-5+5*i+i*t-2*t)'
  [../]
  [./exact_u_func]
    type = ParsedFunction
    expression = 'phi:=(0.75-x-0.001*t);
        i:=(0.75-0.001*t);
        if (phi>=0,
            605 - 5*x + t*(8-x),
            (1/(1-i))*((-5+5*i+i*t-2*t)*x + (605-605*i+8*t-7*t*i)) )'
  [../]
  [./jump_flux_func]
    type = ParsedFunction
    expression = 'i:=(0.75-0.001*t);
        k_1:=(20.0);
        k_2:=(2.0);
        k_1*(5+t) + (k_2/(1-i))*(-5+5*i+i*t-2*t)'
  [../]

  [./ls_func]
    type = ParsedFunction
    expression = '0.75 - x - 0.001*t'
  [../]
[]

[Materials]
  [./mat_time_deriv_prop]
    type = GenericConstantMaterial
    prop_names = 'A_rhoCp B_rhoCp'
    prop_values = '10 7'
  [../]
  [./therm_cond_prop]
    type = GenericConstantMaterial
    prop_names = 'A_diffusion_coefficient B_diffusion_coefficient'
    prop_values = '20.0 2.0'
  [../]

  [./combined_rhoCp]
    type = LevelSetBiMaterialReal
    levelset_positive_base = 'A'
    levelset_negative_base = 'B'
    level_set_var = phi
    prop_name = rhoCp
  [../]
  [./combined_diffusion_coefficient]
    type = LevelSetBiMaterialReal
    levelset_positive_base = 'A'
    levelset_negative_base = 'B'
    level_set_var = phi
    prop_name = diffusion_coefficient
  [../]
[]

[BCs]
  [./left_u]
    type = FunctionDirichletBC
    variable = u
    boundary = 'left'
    function = exact_u_func
  [../]
  [./right_du]
    type = FunctionNeumannBC
    variable = u
    boundary = 'right'
    function = right_du_func
  [../]
[]

[ICs]
  [./u_ic]
    type = ConstantIC
    value = 600
    variable = u
  [../]
[]

[Executioner]
  type = Transient
  solve_type = 'PJFNK'
  # petsc_options_iname = '-pc_type -pc_hypre_type'
  # petsc_options_value = 'hypre boomeramg'
  petsc_options_iname = '-pc_type'
  petsc_options_value = 'lu'
  line_search = 'none'

  l_tol = 1.0e-6
  nl_max_its = 15
  nl_rel_tol = 1.0e-10
  nl_abs_tol = 1.0e-9

  start_time = 0.0
  dt = 20
  end_time = 60.0
  max_xfem_update = 2
[]

[Outputs]
  time_step_interval = 1
  execute_on = 'initial timestep_end'
  exodus = true
  [./console]
    type = Console
    output_linear = true
  [../]
[]

(modules/solid_mechanics/test/tests/volumetric_eigenstrain/volumetric_mechanical.i)

# This test ensures that the reported volumetric strain for a cube with
# mechanically imposed displacements (through Dirichlet BCs) exactly
# matches that from a version of this test that experiences the same
# defomation, but due to imposed eigenstrains.

[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
[]

[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
[]

[AuxVariables]
  [./volumetric_strain]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]

[Physics/SolidMechanics/QuasiStatic]
  [./master]
    strain = FINITE
    decomposition_method = EigenSolution #Necessary for exact solution
  [../]
[]

[AuxKernels]
  [./volumetric_strain]
    type = RankTwoScalarAux
    scalar_type = VolumetricStrain
    rank_two_tensor = total_strain
    variable = volumetric_strain
  [../]
[]

[Functions]
  [pres_disp]
    type = PiecewiseLinear
    # These values are taken from the displacements in the eigenstrain
    # version of this test. The volume of the cube (which starts out as
    # a 1x1x1 cube) is (1 + disp)^3. At time 2, this is
    # (1.44224957030741)^3, which is 3.0.
    xy_data = '0 0
               1 0.25992104989487
               2 0.44224957030741'
  []
[]

[BCs]
  [./left]
    type = DirichletBC
    variable = disp_x
    boundary = left
    value = 0.0
  [../]
  [./bottom]
    type = DirichletBC
    variable = disp_y
    boundary = bottom
    value = 0.0
  [../]
  [./back]
    type = DirichletBC
    variable = disp_z
    boundary = back
    value = 0.0
  [../]
  [./right]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = right
    function = pres_disp
  [../]
  [./top]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = top
    function = pres_disp
  [../]
  [./front]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = front
    function = pres_disp
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeIsotropicElasticityTensor
    youngs_modulus = 1e6
    poissons_ratio = 0.3
  [../]
  [./finite_strain_stress]
    type = ComputeFiniteStrainElasticStress
  [../]
  [./volumetric_change]
    type = GenericFunctionMaterial
    prop_names = volumetric_change
    prop_values = t
  [../]
[]

[Postprocessors]
  [./vol]
    type = VolumePostprocessor
    use_displaced_mesh = true
    execute_on = 'initial timestep_end'
  [../]
  [./volumetric_strain]
    type = ElementalVariableValue
    variable = volumetric_strain
    elementid = 0
  [../]
  [./disp_right]
    type = NodalExtremeValue
    variable = disp_x
    boundary = right
  [../]
[]

[Executioner]
  type = Transient
  solve_type = PJFNK
  l_max_its = 100
  l_tol = 1e-4
  nl_abs_tol = 1e-8
  nl_rel_tol = 1e-12

  start_time = 0.0
  end_time = 2.0
  dt = 1.0
[]

[Outputs]
  csv = true
[]

(modules/solid_mechanics/test/tests/lagrangian/cartesian/updated/convergence/L/large.i)

[Mesh]
  type = FileMesh
  file = 'L.exo'
[]

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
  large_kinematics = true
[]

[Variables]
  [disp_x]
  []
  [disp_y]
  []
  [disp_z]
  []
[]

[Functions]
  [pfn]
    type = PiecewiseLinear
    x = '0    1    2'
    y = '0.00 0.3 0.5'
  []
[]

[Kernels]
  [sdx]
    type = UpdatedLagrangianStressDivergence
    variable = disp_x
    component = 0
    use_displaced_mesh = true
  []
  [sdy]
    type = UpdatedLagrangianStressDivergence
    variable = disp_y
    component = 1
    use_displaced_mesh = true
  []
  [sdz]
    type = UpdatedLagrangianStressDivergence
    variable = disp_z
    component = 2
    use_displaced_mesh = true
  []
[]

[BCs]
  [left]
    type = DirichletBC
    preset = true
    variable = disp_x
    boundary = fix
    value = 0.0
  []

  [bottom]
    type = DirichletBC
    preset = true
    variable = disp_y
    boundary = fix
    value = 0.0
  []

  [back]
    type = DirichletBC
    preset = true
    variable = disp_z
    boundary = fix
    value = 0.0
  []

  [front]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = pull
    function = pfn
    preset = true
  []
[]

[Materials]
  [elastic_tensor]
    type = ComputeIsotropicElasticityTensor
    youngs_modulus = 100000.0
    poissons_ratio = 0.25
  []
  [compute_stress]
    type = ComputeLagrangianLinearElasticStress
  []
  [compute_strain]
    type = ComputeLagrangianStrain
  []
[]

[Preconditioning]
  [smp]
    type = SMP
    full = true
  []
[]

[Executioner]
  type = Transient

  solve_type = 'newton'

  petsc_options_iname = -pc_type
  petsc_options_value = lu

  nl_abs_tol = 1e-10
  nl_rel_tol = 1e-8

  end_time = 1.0
  dtmin = 0.5
  dt = 0.5
[]

[Postprocessors]
  [nonlin]
    type = NumNonlinearIterations
  []
[]

[Outputs]
  exodus = false
  csv = true
[]

(modules/contact/test/tests/3d-mortar-contact/frictionless-mortar-3d-test-derivative-trimming.i)

starting_point = 0.25
offset = 0.00

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
  diffusivity = 1e0
  scaling = 1e0
[]

[Mesh]
  second_order = false
  [top_block]
    type = GeneratedMeshGenerator
    dim = 3
    nx = 3
    ny = 3
    nz = 3
    xmin = -0.25
    xmax = 0.25
    ymin = -0.25
    ymax = 0.25
    zmin = -0.25
    zmax = 0.25
    elem_type = HEX8
  []
  [rotate_top_block]
    type = TransformGenerator
    input = top_block
    transform = ROTATE
    vector_value = '0 0 0'
  []
  [top_block_sidesets]
    type = RenameBoundaryGenerator
    input = rotate_top_block
    old_boundary = '0 1 2 3 4 5'
    new_boundary = 'top_bottom top_back top_right top_front top_left top_top'
  []
  [top_block_id]
    type = SubdomainIDGenerator
    input = top_block_sidesets
    subdomain_id = 1
  []
  [bottom_block]
    type = GeneratedMeshGenerator
    dim = 3
    nx = 1
    ny = 1
    nz = 1
    xmin = -.5
    xmax = .5
    ymin = -.5
    ymax = .5
    zmin = -.3
    zmax = -.25
    elem_type = HEX8
  []
  [bottom_block_id]
    type = SubdomainIDGenerator
    input = bottom_block
    subdomain_id = 2
  []
  [bottom_block_change_boundary_id]
    type = RenameBoundaryGenerator
    input = bottom_block_id
    old_boundary = '0 1 2 3 4 5'
    new_boundary = '100 101 102 103 104 105'
  []
  [combined]
    type = MeshCollectionGenerator
    inputs = 'top_block_id bottom_block_change_boundary_id'
  []
  [block_rename]
    type = RenameBlockGenerator
    input = combined
    old_block = '1 2'
    new_block = 'top_block bottom_block'
  []
  [bottom_right_sideset]
    type = SideSetsAroundSubdomainGenerator
    input = block_rename
    new_boundary = bottom_right
    block = bottom_block
    normal = '1 0 0'
  []
  [bottom_left_sideset]
    type = SideSetsAroundSubdomainGenerator
    input = bottom_right_sideset
    new_boundary = bottom_left
    block = bottom_block
    normal = '-1 0 0'
  []
  [bottom_top_sideset]
    type = SideSetsAroundSubdomainGenerator
    input = bottom_left_sideset
    new_boundary = bottom_top
    block = bottom_block
    normal = '0 0 1'
  []
  [bottom_bottom_sideset]
    type = SideSetsAroundSubdomainGenerator
    input = bottom_top_sideset
    new_boundary = bottom_bottom
    block = bottom_block
    normal = '0  0 -1'
  []
  [bottom_front_sideset]
    type = SideSetsAroundSubdomainGenerator
    input = bottom_bottom_sideset
    new_boundary = bottom_front
    block = bottom_block
    normal = '0 1 0'
  []
  [bottom_back_sideset]
    type = SideSetsAroundSubdomainGenerator
    input = bottom_front_sideset
    new_boundary = bottom_back
    block = bottom_block
    normal = '0 -1 0'
  []
  [secondary]
    input = bottom_back_sideset
    type = LowerDBlockFromSidesetGenerator
    sidesets = 'top_bottom' # top_back top_left'
    new_block_id = '10001'
    new_block_name = 'secondary_lower'
  []
  [primary]
    input = secondary
    type = LowerDBlockFromSidesetGenerator
    sidesets = 'bottom_top'
    new_block_id = '10000'
    new_block_name = 'primary_lower'
  []
[]

[Variables]
  [disp_x]
    block = '1 2'
  []
  [disp_y]
    block = '1 2'
  []
  [disp_z]
    block = '1 2'
  []
  [mortar_normal_lm]
    block = 'secondary_lower'
    use_dual = true
  []
[]

[ICs]
  [disp_z]
    block = 1
    variable = disp_z
    value = '${fparse offset}'
    type = ConstantIC
  []
  [disp_x]
    block = 1
    variable = disp_x
    value = 0
    type = ConstantIC
  []
  [disp_y]
    block = 1
    variable = disp_y
    value = 0
    type = ConstantIC
  []
[]

[Kernels]
  [disp_x]
    type = MatDiffusion
    variable = disp_x
  []
  [disp_y]
    type = MatDiffusion
    variable = disp_y
  []
  [disp_z]
    type = MatDiffusion
    variable = disp_z
  []
[]

[UserObjects]
  [weighted_gap_uo]
    type = LMWeightedGapUserObject
    primary_boundary = 'bottom_top'
    secondary_boundary = 'top_bottom'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    lm_variable = mortar_normal_lm
    disp_x = disp_x
    disp_y = disp_y
    disp_z = disp_z
  []
[]

[Constraints]
  [normal_lm]
    type = ComputeWeightedGapLMMechanicalContact
    primary_boundary = 'bottom_top'
    secondary_boundary = 'top_bottom'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    variable = mortar_normal_lm
    disp_x = disp_x
    disp_y = disp_y
    disp_z = disp_z
    use_displaced_mesh = true
    c = 1.0e4
    weighted_gap_uo = weighted_gap_uo
  []
  [normal_x]
    type = NormalMortarMechanicalContact
    primary_boundary = 'bottom_top'
    secondary_boundary = 'top_bottom'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    variable = mortar_normal_lm
    secondary_variable = disp_x
    component = x
    use_displaced_mesh = true
    compute_lm_residuals = false
    weighted_gap_uo = weighted_gap_uo
  []
  [normal_y]
    type = NormalMortarMechanicalContact
    primary_boundary = 'bottom_top'
    secondary_boundary = 'top_bottom'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    variable = mortar_normal_lm
    secondary_variable = disp_y
    component = y
    use_displaced_mesh = true
    compute_lm_residuals = false
    weighted_gap_uo = weighted_gap_uo
  []
  [normal_z]
    type = NormalMortarMechanicalContact
    primary_boundary = 'bottom_top'
    secondary_boundary = 'top_bottom'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    variable = mortar_normal_lm
    secondary_variable = disp_z
    component = z
    use_displaced_mesh = true
    compute_lm_residuals = false
    weighted_gap_uo = weighted_gap_uo
  []
[]

[BCs]
  [botx]
    type = DirichletBC
    variable = disp_x
    boundary = 'bottom_left bottom_right bottom_front bottom_back'
    value = 0.0
  []
  [boty]
    type = DirichletBC
    variable = disp_y
    boundary = 'bottom_left bottom_right bottom_front bottom_back'
    value = 0.0
  []
  [botz]
    type = DirichletBC
    variable = disp_z
    boundary = 'bottom_left bottom_right bottom_front bottom_back'
    value = 0.0
  []
  [topx]
    type = DirichletBC
    variable = disp_x
    boundary = 'top_top'
    value = 0.0
  []
  [topy]
    type = DirichletBC
    variable = disp_y
    boundary = 'top_top'
    value = 0.0
  []
  [topz]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'top_top'
    function = '-${starting_point} * sin(2 * pi / 40 * t) + ${offset}'
  []
[]

[Executioner]
  type = Transient
  end_time = 1
  dt = .5
  dtmin = .01
  solve_type = 'PJFNK'
  petsc_options = '-snes_converged_reason -ksp_converged_reason -pc_svd_monitor '
                  '-snes_linesearch_monitor'
  petsc_options_iname = '-pc_type -pc_factor_mat_solver_type -pc_factor_shift_type -pc_factor_shift_amount -mat_mffd_err'
  petsc_options_value = 'lu       superlu_dist                  NONZERO               1e-15                   1e-5'
  l_max_its = 100
  nl_max_its = 30
  # nl_rel_tol = 1e-6
  nl_abs_tol = 1e-12
  line_search = 'none'
  snesmf_reuse_base = false
[]

[Debug]
  show_var_residual_norms = true
[]

[Outputs]
  exodus = true
  csv = true
[]

[Preconditioning]
  [smp]
    type = SMP
    full = true
  []
[]

[Postprocessors]
  active = 'num_nl cumulative contact'
  [num_nl]
    type = NumNonlinearIterations
  []
  [cumulative]
    type = CumulativeValuePostprocessor
    postprocessor = num_nl
  []
  [contact]
    type = ContactDOFSetSize
    variable = mortar_normal_lm
    subdomain = 'secondary_lower'
    execute_on = 'nonlinear timestep_end'
  []
[]

[VectorPostprocessors]
  [contact-pressure]
    type = NodalValueSampler
    block = secondary_lower
    variable = mortar_normal_lm
    sort_by = 'id'
    execute_on = NONLINEAR
  []
[]

(test/tests/kernels/ode/ode_expl_test.i)

[Mesh]
  type = GeneratedMesh
  dim = 2
  xmin = 0
  xmax = 1
  ymin = 0
  ymax = 1
  nx = 5
  ny = 5
  elem_type = QUAD4
[]

[Functions]
  [./f_fn]
    type = ParsedFunction
    expression = -4
  [../]
  [./bc_all_fn]
    type = ParsedFunction
    expression = x*x+y*y
  [../]
[]

# NL

[Variables]
  [./u]
    family = LAGRANGE
    order = FIRST
  [../]
[]

[Kernels]
  [./td]
    type = TimeDerivative
    variable = u
  [../]
  [./diff]
    type = Diffusion
    variable = u
  [../]
  [./uff]
    type = BodyForce
    variable = u
    function = f_fn
  [../]
[]

[BCs]
  [./all]
    type = FunctionDirichletBC
    variable = u
    boundary = '0 1 2 3'
    function = bc_all_fn
  [../]
[]

# Aux

[AuxVariables]
  [./y]
    family = SCALAR
    order = FIRST
    initial_condition = 1
  [../]
[]

[AuxScalarKernels]
  [./ode1]
    type = ExplicitODE
    variable = y
  [../]
[]

[Executioner]
  type = Transient
  start_time = 0
  dt = 0.1
  num_steps = 10
[]

[Outputs]
  exodus = true
[]

(test/tests/postprocessors/num_vars/num_vars.i)

[Mesh]
  type = GeneratedMesh
  dim = 2
  xmin = -1
  xmax = 1
  ymin = -1
  ymax = 1
  nx = 10
  ny = 10
  elem_type = QUAD9
[]

[Functions]
  [forcing_fnu]
    type = ParsedFunction
    expression = -6*(x+y)+x*x+y*y
  []
  [forcing_fnv]
    type = ParsedFunction
    expression = -4+x*x*x-x+y*y*y-y
  []
  [bc_fnut]
    type = ParsedFunction
    expression = 3*y*y-1
  []
  [bc_fnub]
    type = ParsedFunction
    expression = -3*y*y+1
  []
  [bc_fnul]
    type = ParsedFunction
    expression = -3*x*x+1
  []
  [bc_fnur]
    type = ParsedFunction
    expression = 3*x*x-1
  []
  [slnu]
    type = ParsedGradFunction
    expression = x*x*x-x+y*y*y-y
    grad_x = 3*x*x-1
    grad_y = 3*y*y-1
  []
  [slnv]
    type = ParsedGradFunction
    expression = x*x+y*y
    grad_x = 2*x
    grad_y = 2*y
  []
[]

[Variables]
  [u]
    order = THIRD
    family = HIERARCHIC
  []
  [v]
    order = SECOND
    family = LAGRANGE
  []
[]

[Kernels]
  [diff1]
    type = Diffusion
    variable = u
  []
  [diff2]
    type = Diffusion
    variable = v
  []
  [forceu]
    type = BodyForce
    variable = u
    function = forcing_fnu
  []
  [forcev]
    type = BodyForce
    variable = v
    function = forcing_fnv
  []
[]

[BCs]
  [bc_ut]
    type = FunctionDirichletBC
    variable = u
    boundary = top
    function = bc_fnut
  []
  [bc_ub]
    type = FunctionDirichletBC
    variable = u
    boundary = bottom
    function = bc_fnub
  []
  [bc_ul]
    type = FunctionDirichletBC
    variable = u
    boundary = left
    function = bc_fnul
  []
  [bc_ur]
    type = FunctionDirichletBC
    variable = u
    boundary = right
    function = bc_fnur
  []
  [bc_v]
    type = FunctionDirichletBC
    variable = v
    function = slnv
    boundary = 'top left right bottom'
  []
[]

[Preconditioning]
  [prec]
    type = SMP
    full = true
  []
[]

[Postprocessors]
  active = 'num_vars'
  [dofs]
    type = NumDOFs
  []
  [h]
    type = AverageElementSize
  []
  [L2u]
    type = ElementL2Error
    variable = u
    function = slnu
  []
  [L2v]
    type = ElementL2Error
    variable = v
    function = slnv
  []
  [H1error]
    type = ElementH1Error
    variable = u
    function = solution
  []
  [H1Semierror]
    type = ElementH1SemiError
    variable = u
    function = solution
  []
  [num_vars]
    type = NumVars
    system = 'NL'
  []
[]

[Executioner]
  type = Steady
  solve_type = NEWTON
  nl_rel_tol = 1e-15

  petsc_options_iname = '-pc_type -pc_hypre_type'
  petsc_options_value = 'hypre    boomeramg'
[]

[Outputs]
  execute_on = 'timestep_end'
  csv = true
[]

(modules/xfem/test/tests/moving_interface/moving_bimaterial_finite_strain_esm.i)

# This test is for two layer materials with different youngs modulus with AD
# The global stress is determined by switching the stress based on level set values
# The material interface is marked by a level set function
# The two layer materials are glued together

[GlobalParams]
  displacements = 'disp_x disp_y'
[]

[XFEM]
  output_cut_plane = true
[]

[UserObjects]
  [level_set_cut_uo]
    type = LevelSetCutUserObject
    level_set_var = ls
    heal_always = true
  []
  [esm]
    type = CutElementSubdomainModifier
    geometric_cut_userobject = level_set_cut_uo
    reinitialize_subdomains = '' #no reinitialization of variables or material properties
  []
[]

[Mesh]
  use_displaced_mesh = true
  [generated_mesh]
    type = GeneratedMeshGenerator
    dim = 2
    nx = 10
    ny = 10
    xmin = 0
    xmax = 5
    ymin = 0
    ymax = 5
    elem_type = QUAD4
  []
  [bottom]
    type = SubdomainBoundingBoxGenerator
    input = generated_mesh
    block_id = 0
    bottom_left = '0 0 0'
    top_right = '5 2.5 0'
  []
  [top]
    type = SubdomainBoundingBoxGenerator
    input = bottom
    block_id = 1
    bottom_left = '0 2.5 0'
    top_right = '5 5 0'
  []
[]

[Functions]
  [ls_func]
    type = ParsedFunction
    expression = 'y-2.73+t'
  []
[]

[Variables]
  [disp_x]
  []
  [disp_y]
  []
[]

[AuxVariables]
  [ls]
  []
  [strain_xx]
    order = CONSTANT
    family = MONOMIAL
  []
  [strain_yy]
    order = CONSTANT
    family = MONOMIAL
  []
  [strain_xy]
    order = CONSTANT
    family = MONOMIAL
  []
  [stress_xx]
    order = CONSTANT
    family = MONOMIAL
  []
  [stress_yy]
    order = CONSTANT
    family = MONOMIAL
  []
  [stress_xy]
    order = CONSTANT
    family = MONOMIAL
  []
[]

[AuxKernels]
  [ls_function]
    type = FunctionAux
    variable = ls
    function = ls_func
  []
  [strain_xx]
    type = RankTwoAux
    variable = strain_xx
    rank_two_tensor = total_strain
    index_i = 0
    index_j = 0
  []
  [strain_yy]
    type = RankTwoAux
    variable = strain_yy
    rank_two_tensor = total_strain
    index_i = 1
    index_j = 1
  []
  [strain_xy]
    type = RankTwoAux
    variable = strain_xy
    rank_two_tensor = total_strain
    index_i = 0
    index_j = 1
  []
  [stress_xx]
    type = RankTwoAux
    variable = stress_xx
    rank_two_tensor = stress
    index_i = 0
    index_j = 0
  []
  [stress_xy]
    type = RankTwoAux
    variable = stress_xy
    rank_two_tensor = stress
    index_i = 0
    index_j = 1
  []
  [stress_yy]
    type = RankTwoAux
    variable = stress_yy
    rank_two_tensor = stress
    index_i = 1
    index_j = 1
  []
[]

[Kernels]
  [solid_x]
    type = StressDivergenceTensors
    variable = disp_x
    component = 0
    use_displaced_mesh = true
  []
  [solid_y]
    type = StressDivergenceTensors
    variable = disp_y
    component = 1
    use_displaced_mesh = true
  []
[]

[Constraints]
  [dispx_constraint]
    type = XFEMSingleVariableConstraint
    use_displaced_mesh = false
    variable = disp_x
    alpha = 1e8
    geometric_cut_userobject = 'level_set_cut_uo'
  []
  [dispy_constraint]
    type = XFEMSingleVariableConstraint
    use_displaced_mesh = false
    variable = disp_y
    alpha = 1e8
    geometric_cut_userobject = 'level_set_cut_uo'
  []
[]

[BCs]
  [bottomx]
    type = DirichletBC
    boundary = bottom
    variable = disp_x
    value = 0.0
  []
  [bottomy]
    type = DirichletBC
    boundary = bottom
    variable = disp_y
    value = 0.0
  []
  [topx]
    type = FunctionDirichletBC
    boundary = top
    variable = disp_x
    function = 0.03*t
  []
  [topy]
    type = FunctionDirichletBC
    boundary = top
    variable = disp_y
    function = '0.03*t'
  []
[]

[Materials]
  [elasticity_tensor_A]
    type = ComputeIsotropicElasticityTensor
    block = 1
    youngs_modulus = 1e9
    poissons_ratio = 0.3
  []
  [strain_A]
    type = ComputeFiniteStrain
    block = 1
  []
  [stress_A]
    type = ComputeFiniteStrainElasticStress
    block = 1
  []
  [elasticity_tensor_B]
    type = ComputeIsotropicElasticityTensor
    block = 0
    youngs_modulus = 1e7
    poissons_ratio = 0.3
  []
  [strain_B]
    type = ComputeFiniteStrain
    block = 0
  []
  [stress_B]
    type = ComputeFiniteStrainElasticStress
    block = 0
  []
[]

[Postprocessors]
  [disp_x_norm]
    type = ElementL2Norm
    variable = disp_x
  []
  [disp_y_norm]
    type = ElementL2Norm
    variable = disp_y
  []
[]

[Executioner]
  type = Transient

  solve_type = NEWTON
  petsc_options_iname = '-pc_type'
  petsc_options_value = 'lu'
  automatic_scaling = true

  # controls for nonlinear iterations
  nl_max_its = 15
  nl_rel_tol = 1e-13
  nl_abs_tol = 1e-50

  # time control
  start_time = 0.0
  dt = 0.1
  num_steps = 4

  max_xfem_update = 1
[]

[Outputs]
  print_linear_residuals = false
  exodus = true
[]

(test/tests/geomsearch/3d_moving_penetration/pl_test3q.i)

[GlobalParams]
  order = SECOND
  family = LAGRANGE
[]

[Mesh]
  file = pl_test3q.e
  displacements = 'disp_x disp_y disp_z'
[]

[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
[]

[AuxVariables]
  [./distance]
  [../]
  [./tangential_distance]
  [../]
  [./normal_x]
  [../]
  [./normal_y]
  [../]
  [./normal_z]
  [../]
  [./closest_point_x]
  [../]
  [./closest_point_y]
  [../]
  [./closest_point_z]
  [../]
  [./element_id]
  [../]
  [./side]
  [../]
[]

[Kernels]
  [./diff_x]
    type = Diffusion
    variable = disp_x
  [../]
  [./diff_y]
    type = Diffusion
    variable = disp_y
  [../]
  [./diff_z]
    type = Diffusion
    variable = disp_z
  [../]
[]

[AuxKernels]
  [./penetrate]
    type = PenetrationAux
    variable = distance
    boundary = 11            #secondary
    paired_boundary = 12     #primary
  [../]

  [./penetrate2]
    type = PenetrationAux
    variable = distance
    boundary = 12            #secondary
    paired_boundary = 11     #primary
  [../]

  [./penetrate3]
    type = PenetrationAux
    variable = tangential_distance
    boundary = 11
    paired_boundary = 12
    quantity = tangential_distance
  [../]

  [./penetrate4]
    type = PenetrationAux
    variable = tangential_distance
    boundary = 12
    paired_boundary = 11
    quantity = tangential_distance
  [../]

  [./penetrate5]
    type = PenetrationAux
    variable = normal_x
    boundary = 11
    paired_boundary = 12
    quantity = normal_x
  [../]

  [./penetrate6]
    type = PenetrationAux
    variable = normal_x
    boundary = 12
    paired_boundary = 11
    quantity = normal_x
  [../]

  [./penetrate7]
    type = PenetrationAux
    variable = normal_y
    boundary = 11
    paired_boundary = 12
    quantity = normal_y
  [../]

  [./penetrate8]
    type = PenetrationAux
    variable = normal_y
    boundary = 12
    paired_boundary = 11
    quantity = normal_y
  [../]

  [./penetrate9]
    type = PenetrationAux
    variable = normal_z
    boundary = 11
    paired_boundary = 12
    quantity = normal_z
  [../]

  [./penetrate10]
    type = PenetrationAux
    variable = normal_z
    boundary = 12
    paired_boundary = 11
    quantity = normal_z
  [../]

  [./penetrate11]
    type = PenetrationAux
    variable = closest_point_x
    boundary = 11
    paired_boundary = 12
    quantity = closest_point_x
  [../]

  [./penetrate12]
    type = PenetrationAux
    variable = closest_point_x
    boundary = 12
    paired_boundary = 11
    quantity = closest_point_x
  [../]

  [./penetrate13]
    type = PenetrationAux
    variable = closest_point_y
    boundary = 11
    paired_boundary = 12
    quantity = closest_point_y
  [../]

  [./penetrate14]
    type = PenetrationAux
    variable = closest_point_y
    boundary = 12
    paired_boundary = 11
    quantity = closest_point_y
  [../]

  [./penetrate15]
    type = PenetrationAux
    variable = closest_point_z
    boundary = 11
    paired_boundary = 12
    quantity = closest_point_z
  [../]

  [./penetrate16]
    type = PenetrationAux
    variable = closest_point_z
    boundary = 12
    paired_boundary = 11
    quantity = closest_point_z
  [../]

  [./penetrate17]
    type = PenetrationAux
    variable = element_id
    boundary = 11
    paired_boundary = 12
    quantity = element_id
  [../]

  [./penetrate18]
    type = PenetrationAux
    variable = element_id
    boundary = 12
    paired_boundary = 11
    quantity = element_id
  [../]

  [./penetrate19]
    type = PenetrationAux
    variable = side
    boundary = 11
    paired_boundary = 12
    quantity = side
  [../]

  [./penetrate20]
    type = PenetrationAux
    variable = side
    boundary = 12
    paired_boundary = 11
    quantity = side
  [../]
[]

[BCs]
  [./b1x]
    type = DirichletBC
    variable = disp_x
    preset = false
    boundary = 1
    value = 0
  [../]

  [./b1y]
    type = DirichletBC
    variable = disp_y
    preset = false
    boundary = 1
    value = 0
  [../]

  [./b1z]
    type = DirichletBC
    variable = disp_z
    preset = false
    boundary = 1
    value = 0
  [../]

  [./b2x]
    type = DirichletBC
    variable = disp_x
    preset = false
    boundary = 2
    value = 0
  [../]

  [./b2y]
    type = FunctionDirichletBC
    variable = disp_y
    preset = false
    boundary = 2
    function = disp_y
  [../]

  [./b2z]
    type = DirichletBC
    variable = disp_z
    preset = false
    boundary = 2
    value = 0
  [../]
[]

[Functions]
  [./disp_y]
    type = PiecewiseLinear
    x = '0.0 0.25 0.75 1.0'
    y = '0.0 2.0 -2.0  0.0'
  [../]
[]

[Executioner]
  type = Transient

  solve_type = 'PJFNK'
  petsc_options = '-snes_ksp_ew'

  nl_rel_tol = 1e-9
  l_max_its = 10

  start_time = 0.0
  dt = 0.025
  end_time = 1.0
  [./Quadrature]
    order = THIRD
  [../]
[]

[Outputs]
  file_base = pl_test3q_out
  exodus = true
[]

(modules/contact/test/tests/pdass_problems/cylinder_friction.i)

[GlobalParams]
  volumetric_locking_correction = true
  displacements = 'disp_x disp_y'
[]

[Mesh]
  [input_file]
    type = FileMeshGenerator
    file = hertz_cyl_coarser.e
  []
  [secondary]
    type = LowerDBlockFromSidesetGenerator
    new_block_id = 10001
    new_block_name = 'secondary_lower'
    sidesets = '3'
    input = input_file
  []
  [primary]
    type = LowerDBlockFromSidesetGenerator
    new_block_id = 10000
    sidesets = '2'
    new_block_name = 'primary_lower'
    input = secondary
  []
[]

[Problem]
  type = ReferenceResidualProblem
  extra_tag_vectors = 'ref'
  reference_vector = 'ref'
[]

[Variables]
  [disp_x]
  []
  [disp_y]
  []
  [frictionless_normal_lm]
    order = FIRST
    family = LAGRANGE
    block = 'secondary_lower'
    use_dual = true
  []
  [tangential_lm]
    block = 'secondary_lower'
    use_dual = true
  []
[]

[AuxVariables]
  [stress_xx]
    order = CONSTANT
    family = MONOMIAL
  []
  [stress_yy]
    order = CONSTANT
    family = MONOMIAL
  []
  [stress_xy]
    order = CONSTANT
    family = MONOMIAL
  []
  [saved_x]
  []
  [saved_y]
  []
  [diag_saved_x]
  []
  [diag_saved_y]
  []
[]

[Functions]
  [disp_ramp_vert]
    type = PiecewiseLinear
    x = '0. 1. 3.5'
    y = '0. -0.020 -0.020'
  []
  [disp_ramp_horz]
    type = PiecewiseLinear
    x = '0. 1. 3.5'
    y = '0. 0.0 0.015'
  []
[]

[Kernels]
  [TensorMechanics]
    use_displaced_mesh = true
    save_in = 'saved_x saved_y'
    extra_vector_tags = 'ref'
    block = '1 2 3 4 5 6 7'
  []
[]

[AuxKernels]
  [stress_xx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xx
    index_i = 0
    index_j = 0
    execute_on = timestep_end
    block = '1 2 3 4 5 6 7'
  []
  [stress_yy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yy
    index_i = 1
    index_j = 1
    execute_on = timestep_end
    block = '1 2 3 4 5 6 7'
  []
  [stress_xy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xy
    index_i = 0
    index_j = 1
    execute_on = timestep_end
    block = '1 2 3 4 5 6 7'
  []
[]

[Postprocessors]
  [bot_react_x]
    type = NodalSum
    variable = saved_x
    boundary = 1
  []
  [bot_react_y]
    type = NodalSum
    variable = saved_y
    boundary = 1
  []
  [top_react_x]
    type = NodalSum
    variable = saved_x
    boundary = 4
  []
  [top_react_y]
    type = NodalSum
    variable = saved_y
    boundary = 4
  []
  [_dt]
    type = TimestepSize
  []
  [num_lin_it]
    type = NumLinearIterations
  []
  [num_nonlin_it]
    type = NumNonlinearIterations
  []
[]

[BCs]
  [side_x]
    type = DirichletBC
    variable = disp_y
    boundary = '1 2'
    value = 0.0
  []
  [bot_y]
    type = DirichletBC
    variable = disp_x
    boundary = '1 2'
    value = 0.0
  []
  [top_y_disp]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 4
    function = disp_ramp_vert
  []
  [top_x_disp]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 4
    function = disp_ramp_horz
  []
[]

[Materials]
  [stuff1_elas_tens]
    type = ComputeIsotropicElasticityTensor
    block = '1'
    youngs_modulus = 1e10
    poissons_ratio = 0.0
  []
  [stuff1_strain]
    type = ComputeFiniteStrain
    block = '1'
  []
  [stuff1_stress]
    type = ComputeFiniteStrainElasticStress
    block = '1'
  []
  [stuff2_elas_tens]
    type = ComputeIsotropicElasticityTensor
    block = '2 3 4 5 6 7'
    youngs_modulus = 1e6
    poissons_ratio = 0.3
  []
  [stuff2_strain]
    type = ComputeFiniteStrain
    block = '2 3 4 5 6 7'
  []
  [stuff2_stress]
    type = ComputeFiniteStrainElasticStress
    block = '2 3 4 5 6 7'
  []
[]

[Executioner]
  type = Transient
  solve_type = 'PJFNK'

  petsc_options = '-snes_ksp_ew'
  petsc_options_iname = '-pc_type -pc_factor_mat_solver_type -pc_factor_shift_type -pc_factor_shift_amount -mat_mffd_err'
  petsc_options_value = 'lu       superlu_dist                  NONZERO               1e-15                   1e-5'

  line_search = 'none'

  nl_abs_tol = 1e-7

  start_time = 0.0
  end_time = 0.3 # 3.5
  l_tol = 1e-4
  dt = 0.1
  dtmin = 0.001
[]

[Preconditioning]
  [SMP]
    type = SMP
    full = true
  []
[]

[VectorPostprocessors]
  [x_disp]
    type = NodalValueSampler
    variable = disp_x
    boundary = '3 4'
    sort_by = id
  []
  [y_disp]
    type = NodalValueSampler
    variable = disp_y
    boundary = '3 4'
    sort_by = id
  []
  [cont_press]
    type = NodalValueSampler
    variable = frictionless_normal_lm
    boundary = '3'
    sort_by = id
  []
  [friction]
    type = NodalValueSampler
    variable = frictionless_normal_lm
    boundary = '3'
    sort_by = id
  []
[]

[Outputs]
  print_linear_residuals = true
  perf_graph = true
  exodus = false
  csv = false
  [console]
    type = Console
    max_rows = 5
  []
  [chkfile]
    type = CSV
    show = 'x_disp y_disp cont_press friction'
    file_base = cylinder_friction_check
    create_final_symlink = true
    execute_on = 'FINAL'
  []
[]

[UserObjects]
  [weighted_vel_uo]
    type = LMWeightedVelocitiesUserObject
    primary_boundary = 2
    secondary_boundary = 3
    primary_subdomain = 10000
    secondary_subdomain = 10001
    lm_variable_normal = frictionless_normal_lm
    lm_variable_tangential_one = tangential_lm
    secondary_variable = disp_x
    disp_x = disp_x
    disp_y = disp_y
  []
[]

[Constraints]
  [weighted_gap_lm]
    type = ComputeFrictionalForceLMMechanicalContact
    primary_boundary = 2
    secondary_boundary = 3
    primary_subdomain = 10000
    secondary_subdomain = 10001
    variable = frictionless_normal_lm
    disp_x = disp_x
    disp_y = disp_y
    use_displaced_mesh = true
    friction_lm = tangential_lm
    mu = 0.4
    c_t = 1.0e5
    c = 1.0e6
    weighted_gap_uo = weighted_vel_uo
    weighted_velocities_uo = weighted_vel_uo
  []
  [x]
    type = NormalMortarMechanicalContact
    primary_boundary = '2'
    secondary_boundary = '3'
    primary_subdomain = '10000'
    secondary_subdomain = '10001'
    variable = frictionless_normal_lm
    secondary_variable = disp_x
    component = x
    use_displaced_mesh = true
    compute_lm_residuals = false
    weighted_gap_uo = weighted_vel_uo
  []
  [y]
    type = NormalMortarMechanicalContact
    primary_boundary = '2'
    secondary_boundary = '3'
    primary_subdomain = '10000'
    secondary_subdomain = '10001'
    variable = frictionless_normal_lm
    secondary_variable = disp_y
    component = y
    use_displaced_mesh = true
    compute_lm_residuals = false
    weighted_gap_uo = weighted_vel_uo
  []
  [tangential_x]
    type = TangentialMortarMechanicalContact
    primary_boundary = 2
    secondary_boundary = 3
    primary_subdomain = 10000
    secondary_subdomain = 10001
    variable = tangential_lm
    secondary_variable = disp_x
    component = x
    use_displaced_mesh = true
    compute_lm_residuals = false
    weighted_velocities_uo = weighted_vel_uo
  []
  [tangential_y]
    type = TangentialMortarMechanicalContact
    primary_boundary = 2
    secondary_boundary = 3
    primary_subdomain = 10000
    secondary_subdomain = 10001
    variable = tangential_lm
    secondary_variable = disp_y
    component = y
    use_displaced_mesh = true
    compute_lm_residuals = false
    weighted_velocities_uo = weighted_vel_uo
  []
[]

(modules/xfem/test/tests/diffusion_xfem/diffusion.i)

[GlobalParams]
  order = FIRST
  family = LAGRANGE
[]

[Mesh]
  type = GeneratedMesh
  dim = 2
  nx = 5
  ny = 6
  xmin = 0.0
  xmax = 1.0
  ymin = 0.0
  ymax = 1.0
  elem_type = QUAD4
[]

[XFEM]
  qrule = volfrac
  output_cut_plane = true
[]

[UserObjects]
  [./line_seg_cut_uo]
    type = LineSegmentCutUserObject
    cut_data = '0.5 1.0 0.5 0.5'
    time_start_cut = 0.0
    time_end_cut = 0.0
  [../]
[]

[Variables]
  [./u]
  [../]
[]

[Functions]
  [./u_left]
    type = PiecewiseLinear
    x = '0   2'
    y = '0  0.1'
  [../]
[]

[Kernels]
  [./diff]
    type = Diffusion
    variable = u
  [../]
[]

[BCs]
# Define boundary conditions
  [./left_u]
    type = FunctionDirichletBC
    variable = u
    boundary = 3
    function = u_left
  [../]

  [./right_u]
    type = DirichletBC
    variable = u
    boundary = 1
    value = 0
  [../]
[]

[Executioner]
  type = Transient
  solve_type = 'PJFNK'
  petsc_options_iname = '-pc_type -pc_hypre_type'
  petsc_options_value = 'hypre boomeramg'
  line_search = 'none'

  l_tol = 1e-3
  nl_max_its = 15
  nl_rel_tol = 1e-10
  nl_abs_tol = 1e-10

  start_time = 0.0
  dt = 1.0
  end_time = 2.0
[]

[Outputs]
  time_step_interval = 1
  execute_on = timestep_end
  exodus = true
  [./console]
    type = Console
    output_linear = true
  [../]
[]

(modules/solid_mechanics/test/tests/rate_independent_cyclic_hardening/nonlin_isoharden_symmetric_strain_controlled.i)

# This simulation uses the piece-wise strain hardening model
# with the Finite strain formulation.
#
# This test applies a repeated displacement loading and unloading condition
# on the top in the y direction. The material deforms elastically until the
# loading reaches the initial yield point and then plastic deformation starts.
#
# The yield surface begins to grow as stress increases with respect to the
# same center of yield surface. The yield surface continue to grow with increasing
# loading upto the value of (Initial yield + Q), where Q is the saturation stress.
# Upon unloading, the stress reverses direction, and material first behaves
# elastically. Since the yield surface has expanded, the material will need
# to be reloaded to a higher stress level to yield again. After reaching this
# yield point, further plastic deformation occurs, and the yield surface continues
# to expand in all directions until the saturation stress value.
#
# This test is based on the similar response obtained for a prescribed symmetrical
# strain path in Besson, Jacques, et al. Non-linear mechanics of materials. Vol. 167.
# Springer Science & Business Media, 2009  pg. 87 fig. 3.4(a). This SolidMechanics code
# matches the SolidMechanics solution.

[Mesh]
  file = 1x1x1cube.e
[]

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]

[Functions]
  [top_pull]
    type = PiecewiseLinear
    xy_data = '0 0
    0.025 0.0025
    0.05 0.005
    0.1 0.01
    0.15 0.005
    0.2 0
    0.25 -0.005
    0.3 -0.01
    0.35 -0.005
    0.45 0
    0.5 0.005
    0.55 0.01
    0.65 0.005
    0.7 0
    0.75 -0.005
    0.8 -0.01
    0.85 -0.005
    0.9 0
    0.95 0.005
    1 0.01
    1.05 0.005
    1.1 0
    1.15 -0.005
    1.2 -0.01
    1.25 -0.005
    1.3 0
    1.35 0.005
    1.4 0.01
    1.45 0.005
    1.5 0
    1.55 -0.005
    1.60 -0.01
    1.65 -0.005
    1.7 0
    1.75 0.005
    1.8 0.01
    1.85 0.005
    1.9 0
    1.95 -0.005
    2 -0.01
    2.05 -0.005
    2.10 0
    2.15 0.005
    2.2 0.01
    2.25 0.005
    2.3 0
    2.35 -0.005
    2.4 -0.01
    2.45 -0.005
    2.5 0
    2.55 0.005
    2.6 0.01
    2.65 0.005
    2.7 0
    2.75 -0.005
    2.8 -0.01
    2.85 -0.005
    2.9 0
    2.95 0.005
    3 0.01'
  []
[]

[Physics]
  [SolidMechanics]
    [QuasiStatic]
      [all]
        strain = SMALL
        incremental = true
        add_variables = true
        generate_output = 'strain_yy stress_yy plastic_strain_xx plastic_strain_yy plastic_strain_zz'
      []
    []
  []
[]

[BCs]
  [y_pull_function]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 5
    function = top_pull
  []
  [x_bot]
    type = DirichletBC
    variable = disp_x
    boundary = 4
    value = 0.0
  []
  [y_bot]
    type = DirichletBC
    variable = disp_y
    boundary = 3
    value = 0.0
  []
  [z_bot]
    type = DirichletBC
    variable = disp_z
    boundary = 2
    value = 0.0
  []
[]

[Materials]
  [elasticity_tensor]
    type = ComputeIsotropicElasticityTensor
    youngs_modulus = 2e5
    poissons_ratio = 0
  []
  [isotropic_plasticity]
    type = CombinedNonlinearHardeningPlasticity
    yield_stress = 100
    isotropic_hardening_constant = 0
    q = 150
    b = 5
    kinematic_hardening_modulus = 0
    gamma = 0
  []
  [radial_return_stress]
    type = ComputeMultipleInelasticStress
    tangent_operator = elastic
    inelastic_models = 'isotropic_plasticity'
  []
[]

[Executioner]
  type = Transient

  solve_type = 'PJFNK'

  petsc_options = '-snes_ksp_ew'
  petsc_options_iname = '-ksp_gmres_restart'
  petsc_options_value = '101'

  line_search = 'none'

  l_max_its = 50
  nl_max_its = 50
  nl_rel_tol = 1e-12
  nl_abs_tol = 1e-10
  l_tol = 1e-9

  start_time = 0.0
  end_time = 1.5        # change end_time to 3.0 to get more cycles of loading and unloading
  dt = 0.0046875        # keep dt = 0.003125 to output a finer isotropic hardening plot
  dtmin = 0.001
[]

[Postprocessors]
  [stress_yy]
    type = ElementAverageValue
    variable = stress_yy
  []
  [strain_yy]
    type = ElementAverageValue
    variable = strain_yy
  []
[]

[Outputs]
  csv = true
[]

(modules/solid_mechanics/test/tests/uel/small_test_umat_states_fields.i)

[GlobalParams]
  displacements = 'disp_x disp_y'
[]

[Mesh]
  [gen]
    type = GeneratedMeshGenerator
    dim = 2
    nx = 20
    ny = 10
    xmax = 10
    ymax = 3
    elem_type = TRI3
  []
  [pin]
    type = ExtraNodesetGenerator
    nodes = 106
    new_boundary = pin
    input = gen
  []
  displacements = 'disp_x disp_y'
[]

[AuxVariables]
  [temperature]
    initial_condition = 1500
  []
  [voltage]
    initial_condition = 210
  []
[]

[AuxKernels]
  [temperature]
    type = FunctionAux
    function = temperature_function
    variable = temperature
  []
  [voltage]
    type = FunctionAux
    function = voltage_function
    variable = voltage
  []
[]

[Functions]
  [voltage_function]
    type = PiecewiseLinear
    x = '0 15'
    y = '210 450'
  []
  [temperature_function]
    type = PiecewiseLinear
    x = '0 15'
    y = '1500 800'
  []
[]

[BCs]
  [left_x]
    type = DirichletBC
    variable = disp_x
    boundary = left
    value = 0
  []
  [left_y]
    type = DirichletBC
    variable = disp_y
    boundary = pin
    value = 0
  []

  inactive = 'right_dirichlet'
  [right_neumann]
    type = FunctionNeumannBC
    variable = disp_x
    function = t
    boundary = right
  []
  [right_dirichlet]
    type = FunctionDirichletBC
    variable = disp_x
    function = t/10
    boundary = right
  []
[]

[Physics/SolidMechanics/QuasiStatic]
  [all]
    add_variables = true
    strain = SMALL
    incremental = true
    extra_vector_tags = 'kernel_residual'
  []
[]

[Materials]
  [umat]
    type = AbaqusUMATStress
    constant_properties = '100 0.3'
    plugin = '../../plugins/small_elastic_tri_states'
    num_state_vars = 2
    use_one_based_indexing = false
    temperature = 'temperature'
    external_fields = 'voltage'
  []
[]

[Problem]
  kernel_coverage_check = false
  extra_tag_vectors = 'kernel_residual'
[]

[AuxVariables]
  [res_x]
  []
  [res_y]
  []
[]

[AuxKernels]
  [res_x]
    type = TagVectorAux
    variable = res_x
    v = disp_x
    vector_tag = kernel_residual
  []
  [res_y]
    type = TagVectorAux
    variable = res_y
    v = disp_y
    vector_tag = kernel_residual
  []
[]

[Executioner]
  type = Transient
  solve_type = NEWTON
  petsc_options_iname = '-pc_type'
  petsc_options_value = 'lu'
  dt = 1
  num_steps = 15
[]

[Postprocessors]
  [delta_l]
    type = SideAverageValue
    variable = disp_x
    boundary = right
    execute_on = 'INITIAL TIMESTEP_END'
  []
  [V]
    type = ElementIntegralMaterialProperty
    mat_prop = 1
    use_displaced_mesh = true
    execute_on = 'INITIAL TIMESTEP_END'
  []
[]

[Outputs]
  exodus = true
  csv = true
[]

(modules/combined/test/tests/phase_field_fracture/crack2d_vol_dev.i)

#This input uses PhaseField-Nonconserved Action to add phase field fracture bulk rate kernels
[Mesh]
  [gen]
    type = GeneratedMeshGenerator
    dim = 2
    nx = 20
    ny = 10
    ymax = 0.5
  []
  [./noncrack]
    type = BoundingBoxNodeSetGenerator
    new_boundary = noncrack
    bottom_left = '0.5 0 0'
    top_right = '1 0 0'
    input = gen
  [../]
[]

[GlobalParams]
  displacements = 'disp_x disp_y'
[]

[Modules]
  [./PhaseField]
    [./Nonconserved]
      [./c]
        free_energy = F
        kappa = kappa_op
        mobility = L
      [../]
    [../]
  [../]
[]
[Physics]
  [./SolidMechanics]
    [./QuasiStatic]
      [./mech]
        add_variables = true
        strain = SMALL
        additional_generate_output = 'stress_yy'
        save_in = 'resid_x resid_y'
      [../]
    [../]
  [../]
[]

[AuxVariables]
  [./resid_x]
  [../]
  [./resid_y]
  [../]
[]

[Kernels]
  [./solid_x]
    type = PhaseFieldFractureMechanicsOffDiag
    variable = disp_x
    component = 0
    c = c
  [../]
  [./solid_y]
    type = PhaseFieldFractureMechanicsOffDiag
    variable = disp_y
    component = 1
    c = c
  [../]
[]

[BCs]
  [./ydisp]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = top
    function = 't'
  [../]
  [./yfix]
    type = DirichletBC
    variable = disp_y
    boundary = noncrack
    value = 0
  [../]
  [./xfix]
    type = DirichletBC
    variable = disp_x
    boundary = top
    value = 0
  [../]
[]

[Materials]
  [./pfbulkmat]
    type = GenericConstantMaterial
    prop_names = 'gc_prop l visco'
    prop_values = '1e-3 0.04 1e-4'
  [../]
  [./define_mobility]
    type = ParsedMaterial
    material_property_names = 'gc_prop visco'
    property_name = L
    expression = '1.0/(gc_prop * visco)'
  [../]
  [./define_kappa]
    type = ParsedMaterial
    material_property_names = 'gc_prop l'
    property_name = kappa_op
    expression = 'gc_prop * l'
  [../]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    C_ijkl = '120.0 80.0'
    fill_method = symmetric_isotropic
  [../]
  [./damage_stress]
    type = ComputeLinearElasticPFFractureStress
    c = c
    E_name = 'elastic_energy'
    D_name = 'degradation'
    F_name = 'local_fracture_energy'
    decomposition_type = strain_vol_dev
  [../]
  [./degradation]
    type = DerivativeParsedMaterial
    property_name = degradation
    coupled_variables = 'c'
    expression = '(1.0-c)^2*(1.0 - eta) + eta'
    constant_names       = 'eta'
    constant_expressions = '0.0'
    derivative_order = 2
  [../]
  [./local_fracture_energy]
    type = DerivativeParsedMaterial
    property_name = local_fracture_energy
    coupled_variables = 'c'
    material_property_names = 'gc_prop l'
    expression = 'c^2 * gc_prop / 2 / l'
    derivative_order = 2
  [../]
  [./fracture_driving_energy]
    type = DerivativeSumMaterial
    coupled_variables = c
    sum_materials = 'elastic_energy local_fracture_energy'
    derivative_order = 2
    property_name = F
  [../]
[]

[Postprocessors]
  [./resid_x]
    type = NodalSum
    variable = resid_x
    boundary = 2
  [../]
  [./resid_y]
    type = NodalSum
    variable = resid_y
    boundary = 2
  [../]
[]

[Preconditioning]
  [./smp]
    type = SMP
    full = true
  [../]
[]

[Executioner]
  type = Transient

  solve_type = PJFNK
  petsc_options_iname = '-pc_type -ksp_gmres_restart -sub_ksp_type -sub_pc_type -pc_asm_overlap'
  petsc_options_value = 'asm      31                  preonly       lu           1'

  nl_rel_tol = 1e-8
  l_max_its = 10
  nl_max_its = 10

  dt = 1e-4
  dtmin = 1e-4
  num_steps = 2
[]

[Outputs]
  exodus = true
[]

(modules/contact/test/tests/hertz_spherical/hertz_contact_rz_quad8.i)

# Hertz Contact: Sphere on sphere

# Spheres have the same radius, Young's modulus, and Poisson's ratio.

# Define E:
# 1/E = (1-nu1^2)/E1 + (1-nu2^2)/E2
#
# Effective radius R:
# 1/R = 1/R1 + 1/R2
#
# F is the applied compressive load.
#
# Area of contact a::
# a^3 = 3FR/4E
#
# Depth of indentation d:
# d = a^2/R
#
#
# Let R1 = R2 = 2.  Then R = 1.
#
# Let nu1 = nu2 = 0.25, E1 = E2 = 1.40625e7.  Then E = 7.5e6.
#
# Let F = 10000.  Then a = 0.1, d = 0.01.
#

[GlobalParams]
  volumetric_locking_correction = false
  displacements = 'disp_x disp_y'
[]

[Problem]
  coord_type = RZ
[]

[Mesh]#Comment
  file = hertz_contact_rz_quad8.e
  displacements = 'disp_x disp_y'
  allow_renumbering = false
[] # Mesh

[Functions]
  [./pressure]
    type = PiecewiseLinear
    x = '0. 1. 2.'
    y = '0. 1. 1.'
    scale_factor = 795.77471545947674 # 10000/pi/2^2
  [../]
  [./disp_y]
    type = PiecewiseLinear
    x = '0.  1.    2.'
    y = '0. -0.01 -0.01'
  [../]
[] # Functions

[Variables]

  [./disp_x]
    order = SECOND
    family = LAGRANGE
  [../]

  [./disp_y]
    order = SECOND
    family = LAGRANGE
  [../]

[] # Variables

[AuxVariables]

  [./stress_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_zx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./vonmises]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./hydrostatic]
    order = CONSTANT
    family = MONOMIAL
  [../]

[] # AuxVariables

[Physics/SolidMechanics/QuasiStatic]
  [./all]
    add_variables = true
    strain = SMALL
  [../]
[]

[AuxKernels]
  [./stress_xx]
    type = RankTwoAux
    rank_two_tensor = stress
    index_i = 0
    index_j = 0
    variable = stress_xx
  [../]
  [./stress_yy]
    type = RankTwoAux
    rank_two_tensor = stress
    index_i = 1
    index_j = 1
    variable = stress_yy
  [../]
  [./stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    index_i = 2
    index_j = 2
    variable = stress_zz
  [../]
  [./stress_xy]
    type = RankTwoAux
    rank_two_tensor = stress
    index_i = 0
    index_j = 1
    variable = stress_xy
  [../]
  [./stress_yz]
    type = RankTwoAux
    rank_two_tensor = stress
    index_i = 1
    index_j = 2
    variable = stress_yz
  [../]
  [./stress_zx]
    type = RankTwoAux
    rank_two_tensor = stress
    index_i = 2
    index_j = 0
    variable = stress_zx
  [../]
[] # AuxKernels

[BCs]

  [./base_y]
    type = DirichletBC
    variable = disp_y
    boundary = 1000
    value = 0.0
  [../]

  [./symm_x]
    type = DirichletBC
    variable = disp_x
    boundary = 1
    value = 0.0
  [../]
  [./disp_y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 2
    function = disp_y
  [../]

[] # BCs

[Contact]
  [./dummy_name]
    primary = 1000
    secondary = 100
    # normal_smoothing_distance = 0.01
    normalize_penalty = true
    tangential_tolerance = 1e-3
    penalty = 1e+10

  [../]
[]


[Materials]
  [./tensor]
    type = ComputeIsotropicElasticityTensor
    block = '1'
    youngs_modulus = 1.40625e7
    poissons_ratio = 0.25
  [../]
  [./stress]
    type = ComputeLinearElasticStress
    block = '1'
  [../]

  [./tensor_1000]
    type = ComputeIsotropicElasticityTensor
    block = '1000'
    youngs_modulus = 1e6
    poissons_ratio = 0.0
  [../]
  [./stress_1000]
    type = ComputeLinearElasticStress
    block = '1000'
  [../]
[] # Materials

[Preconditioning]
  [./SMP]
    type = SMP
    full = true
  []
[]

[Executioner]

  type = Transient

  solve_type = 'PJFNK'

  petsc_options_iname = '-pc_type -pc_factor_mat_solver_type'
  petsc_options_value = 'lu     superlu_dist'

  line_search = 'none'
  nl_abs_tol = 1e-7
  l_abs_tol = 1e-9
  l_max_its = 200

  start_time = 0.0
  dt = 0.5
  end_time = 2.0

  [./Quadrature]
    order = FIFTH
  [../]

[] # Executioner

[Postprocessors]
  [./maxdisp]
    type = NodalVariableValue
    nodeid = 103 # 104-1 where 104 is the exodus node number of the top-left node
    variable = disp_y
  [../]
[]

[Outputs]
  [./out]
    type = Exodus
  [../]
[] # Output

(modules/solid_mechanics/test/tests/tensile/small_deform9_update_version.i)

# A single unit element is stretched in a complicated way
# that the trial stress is
#
#      1.16226      -0.0116587       0.0587872
#     -0.0116587         1.12695       0.0779428
#      0.0587872       0.0779428        0.710169
#
# This has eigenvalues
# la = {0.68849, 1.14101, 1.16987}
# and eigenvectors
#
# {-0.125484, -0.176871, 0.976202}
# {-0.0343704, -0.982614, -0.182451}
# {0.9915, -0.0564471, 0.117223}
#
# The tensile strength is 0.5 and Young=1 and Poisson=0.25.
# Using smoothing_tol=0.01, the return-map algorithm should
# return to, approximately, stress_I=stress_II=0.5.  This
# is a reduction of 0.65, so stress_III is approximately
# 0.68849 - 0.25 * 0.65 * 2 = 0.36.  The stress_I reduction of
# 0.67 gives an internal parameter of
# 0.67 / (E(1-v)/(1+v)/(1-2v)) = 0.558
# The final stress is
#
# {0.498, -0.003, 0.017},
# {-0.003, 0.495, 0.024},
# {0.017, 0.024,  0.367}

[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]

[Physics/SolidMechanics/QuasiStatic]
  [./all]
    add_variables = true
    incremental = true
    strain = finite
    generate_output = 'max_principal_stress mid_principal_stress min_principal_stress stress_xx stress_xy stress_xz stress_yy stress_yz stress_zz'
  [../]
[]

[BCs]
  [./x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'front back'
    function = '3*x+2*y+z'
  [../]
  [./y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'front back'
    function = '3*x-4*y'
  [../]
  [./z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'front back'
    function = 'x-2*z'
  [../]
[]

[AuxVariables]
  [./f0]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f1]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f2]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./iter]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./intnl]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]

[AuxKernels]
  [./f0_auxk]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 0
    variable = f0
  [../]
  [./f1_auxk]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 1
    variable = f1
  [../]
  [./f2_auxk]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 2
    variable = f2
  [../]
  [./iter]
    type = MaterialRealAux
    property = plastic_NR_iterations
    variable = iter
  [../]
  [./intnl_auxk]
    type = MaterialStdVectorAux
    property = plastic_internal_parameter
    index = 0
    variable = intnl
  [../]
[]

[Postprocessors]
  [./s_I]
    type = PointValue
    point = '0 0 0'
    variable = max_principal_stress
  [../]
  [./s_II]
    type = PointValue
    point = '0 0 0'
    variable = mid_principal_stress
  [../]
  [./s_III]
    type = PointValue
    point = '0 0 0'
    variable = min_principal_stress
  [../]
  [./s_xx]
    type = PointValue
    point = '0 0 0'
    variable = stress_xx
  [../]
  [./s_xy]
    type = PointValue
    point = '0 0 0'
    variable = stress_xy
  [../]
  [./s_xz]
    type = PointValue
    point = '0 0 0'
    variable = stress_xz
  [../]
  [./s_yy]
    type = PointValue
    point = '0 0 0'
    variable = stress_yy
  [../]
  [./s_yz]
    type = PointValue
    point = '0 0 0'
    variable = stress_yz
  [../]
  [./s_zz]
    type = PointValue
    point = '0 0 0'
    variable = stress_zz
  [../]
  [./f0]
    type = PointValue
    point = '0 0 0'
    variable = f0
  [../]
  [./f1]
    type = PointValue
    point = '0 0 0'
    variable = f1
  [../]
  [./f2]
    type = PointValue
    point = '0 0 0'
    variable = f2
  [../]
  [./iter]
    type = PointValue
    point = '0 0 0'
    variable = iter
  [../]
  [./intnl]
    type = PointValue
    point = '0 0 0'
    variable = intnl
  [../]
[]

[UserObjects]
  [./ts]
    type = SolidMechanicsHardeningConstant
    value = 0.5
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeIsotropicElasticityTensor
    youngs_modulus = 1
    poissons_ratio = 0.25
  [../]
  [./tensile]
    type = TensileStressUpdate
    tensile_strength = ts
    smoothing_tol = 0.001
    yield_function_tol = 1.0E-12
  [../]
  [./stress]
    type = ComputeMultipleInelasticStress
    inelastic_models = tensile
    perform_finite_strain_rotations = false
  [../]
[]


[Executioner]
  end_time = 1
  dt = 1
  type = Transient
[]


[Outputs]
  file_base = small_deform9_update_version
  exodus = false
  [./csv]
    type = CSV
  [../]
[]

(modules/solid_mechanics/test/tests/neml2/solve_failure/moose.i)

N = 2

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]

[Mesh]
  [gmg]
    type = GeneratedMeshGenerator
    dim = 3
    nx = ${N}
    ny = ${N}
    nz = ${N}
  []
[]

[Physics]
  [SolidMechanics]
    [QuasiStatic]
      [all]
        strain = SMALL
        incremental = true
        new_system = true
        add_variables = true
        volumetric_locking_correction = true
      []
    []
  []
[]

[AuxVariables]
  [temp]
    initial_condition = 1200
  []
[]

[BCs]
  [xfix]
    type = DirichletBC
    variable = disp_x
    boundary = left
    value = 0
  []
  [yfix]
    type = DirichletBC
    variable = disp_y
    boundary = bottom
    value = 0
  []
  [zfix]
    type = DirichletBC
    variable = disp_z
    boundary = back
    value = 0
  []
  [xdisp]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = right
    function = 'xdisp_func'
    # Setting this to true is discouraged as it could plasticity solve more difficult.
    # We do it here simply to make the solve to fail to test the error handling.
    preset = true
  []
[]

[NEML2]
  input = 'neml2.i'
  [all]
    model = 'model'
    verbose = true
    device = 'cpu'
    moose_input_types = 'MATERIAL     MATERIAL POSTPROCESSOR POSTPROCESSOR MATERIAL              MATERIAL                  MATERIAL'
    moose_inputs = '     neml2_strain neml2_strain time          time          neml2_stress        equivalent_plastic_strain back_stress'
    neml2_inputs = '     forces/E     old_forces/E forces/t      old_forces/t  old_state/S old_state/internal/ep     old_state/internal/X'
    moose_output_types = 'MATERIAL     MATERIAL                  MATERIAL'
    moose_outputs = '     neml2_stress    equivalent_plastic_strain back_stress'
    neml2_outputs = '     state/S      state/internal/ep         state/internal/X'
    moose_derivative_types = 'MATERIAL'
    moose_derivatives = 'neml2_jacobian'
    neml2_derivatives = 'state/S forces/E'
  []
[]

[Materials]
  [convert_strain]
    type = RankTwoTensorToSymmetricRankTwoTensor
    from = 'mechanical_strain'
    to = 'neml2_strain'
  []
  [stress]
    type = ComputeLagrangianObjectiveCustomSymmetricStress
    custom_small_stress = 'neml2_stress'
    custom_small_jacobian = 'neml2_jacobian'
  []
[]

[Functions]
  [xdisp_func]
    type = PiecewiseLinear
    x = '0 0.005 0.01 0.015 0.02'
    y = '0 0.005 0 -0.005 0'
  []
[]

[Postprocessors]
  [time]
    type = TimePostprocessor
    execute_on = 'INITIAL TIMESTEP_BEGIN'
    outputs = none
  []
[]

[Executioner]
  type = Transient
  solve_type = NEWTON
  petsc_options_iname = '-pc_type'
  petsc_options_value = 'lu'
  automatic_scaling = true
  dt = 1e-3
  dtmin = 1e-5
  end_time = 0.006
  nl_abs_tol = 1e-12
  nl_rel_tol = 1e-10
  nl_max_its = 12
  line_search = none
  residual_and_jacobian_together = true
[]

[Outputs]
  exodus = true
  print_linear_residuals = false
[]

(modules/xfem/test/tests/moving_interface/moving_bimaterial_finite_strain_esm_using_cut_mesh.i)

# This test is for two layer materials with different youngs modulus with AD
# The global stress is determined by switching the stress based on level set values
# The material interface is marked by a level set function
# The two layer materials are glued together

[GlobalParams]
  displacements = 'disp_x disp_y'
[]

[XFEM]
  output_cut_plane = true
[]

[UserObjects]
  [cut]
    type = InterfaceMeshCut2DUserObject
    mesh_file = line.e
    interface_velocity_function = 1
    heal_always = true
  []
  [esm]
    type = CutElementSubdomainModifier
    geometric_cut_userobject = cut
    apply_initial_conditions = false
  []
[]

[Mesh]
  use_displaced_mesh = true
  [generated_mesh]
    type = GeneratedMeshGenerator
    dim = 2
    nx = 10
    ny = 10
    xmin = 0
    xmax = 5
    ymin = 0
    ymax = 5
    elem_type = QUAD4
  []
  [bottom]
    type = SubdomainBoundingBoxGenerator
    input = generated_mesh
    block_id = 0
    bottom_left = '0 0 0'
    top_right = '5 2.5 0'
  []
  [top]
    type = SubdomainBoundingBoxGenerator
    input = bottom
    block_id = 1
    bottom_left = '0 2.5 0'
    top_right = '5 5 0'
  []
[]

[Functions]
  [ls_func]
    type = ParsedFunction
    expression = 'y-2.73+t'
  []
[]

[Variables]
  [disp_x]
  []
  [disp_y]
  []
[]

[AuxVariables]
  [ls]
  []
  [strain_xx]
    order = CONSTANT
    family = MONOMIAL
  []
  [strain_yy]
    order = CONSTANT
    family = MONOMIAL
  []
  [strain_xy]
    order = CONSTANT
    family = MONOMIAL
  []
  [stress_xx]
    order = CONSTANT
    family = MONOMIAL
  []
  [stress_yy]
    order = CONSTANT
    family = MONOMIAL
  []
  [stress_xy]
    order = CONSTANT
    family = MONOMIAL
  []
[]

[AuxKernels]
  [ls_function]
    type = FunctionAux
    variable = ls
    function = ls_func
  []
  [strain_xx]
    type = RankTwoAux
    variable = strain_xx
    rank_two_tensor = total_strain
    index_i = 0
    index_j = 0
  []
  [strain_yy]
    type = RankTwoAux
    variable = strain_yy
    rank_two_tensor = total_strain
    index_i = 1
    index_j = 1
  []
  [strain_xy]
    type = RankTwoAux
    variable = strain_xy
    rank_two_tensor = total_strain
    index_i = 0
    index_j = 1
  []
  [stress_xx]
    type = RankTwoAux
    variable = stress_xx
    rank_two_tensor = stress
    index_i = 0
    index_j = 0
  []
  [stress_xy]
    type = RankTwoAux
    variable = stress_xy
    rank_two_tensor = stress
    index_i = 0
    index_j = 1
  []
  [stress_yy]
    type = RankTwoAux
    variable = stress_yy
    rank_two_tensor = stress
    index_i = 1
    index_j = 1
  []
[]

[Kernels]
  [solid_x]
    type = StressDivergenceTensors
    variable = disp_x
    component = 0
    use_displaced_mesh = true
  []
  [solid_y]
    type = StressDivergenceTensors
    variable = disp_y
    component = 1
    use_displaced_mesh = true
  []
[]

[Constraints]
  [dispx_constraint]
    type = XFEMSingleVariableConstraint
    use_displaced_mesh = false
    variable = disp_x
    alpha = 1e8
    geometric_cut_userobject = 'cut'
  []
  [dispy_constraint]
    type = XFEMSingleVariableConstraint
    use_displaced_mesh = false
    variable = disp_y
    alpha = 1e8
    geometric_cut_userobject = 'cut'
  []
[]

[BCs]
  [bottomx]
    type = DirichletBC
    boundary = bottom
    variable = disp_x
    value = 0.0
  []
  [bottomy]
    type = DirichletBC
    boundary = bottom
    variable = disp_y
    value = 0.0
  []
  [topx]
    type = FunctionDirichletBC
    boundary = top
    variable = disp_x
    function = 0.03*t
  []
  [topy]
    type = FunctionDirichletBC
    boundary = top
    variable = disp_y
    function = '0.03*t'
  []
[]

[Materials]
  [elasticity_tensor_A]
    type = ComputeIsotropicElasticityTensor
    block = 1
    youngs_modulus = 1e9
    poissons_ratio = 0.3
  []
  [strain_A]
    type = ComputeFiniteStrain
    block = 1
  []
  [stress_A]
    type = ComputeFiniteStrainElasticStress
    block = 1
  []
  [elasticity_tensor_B]
    type = ComputeIsotropicElasticityTensor
    block = 0
    youngs_modulus = 1e7
    poissons_ratio = 0.3
  []
  [strain_B]
    type = ComputeFiniteStrain
    block = 0
  []
  [stress_B]
    type = ComputeFiniteStrainElasticStress
    block = 0
  []
[]

[Postprocessors]
  [disp_x_norm]
    type = ElementL2Norm
    variable = disp_x
  []
  [disp_y_norm]
    type = ElementL2Norm
    variable = disp_y
  []
[]

[Executioner]
  type = Transient

  solve_type = NEWTON
  petsc_options_iname = '-pc_type'
  petsc_options_value = 'lu'
  automatic_scaling = true

  # controls for nonlinear iterations
  nl_max_its = 15
  nl_rel_tol = 1e-13
  nl_abs_tol = 1e-50

  # time control
  start_time = 0.0
  dt = 0.1
  num_steps = 4

  max_xfem_update = 1
[]

[Outputs]
  print_linear_residuals = false
  exodus = true
[]

(test/tests/postprocessors/time_extreme_value/time_extreme_value.i)

[Mesh]
  type = GeneratedMesh
  dim = 2
  nx = 2
  ny = 2
[]

[Variables]
  [u]
  []
[]

[Kernels]
  [diff]
    type = Diffusion
    variable = u
  []
  [time]
    type = TimeDerivative
    variable = u
  []
[]

[BCs]
  [left]
    type = FunctionDirichletBC
    variable = u
    boundary = left
    function = 'if(t<1.0,t,1.0)'
  []
  [right]
    type = FunctionDirichletBC
    variable = u
    boundary = right
    function = 'if(t<1.0,2.0-t,1.0)'
  []
[]

[Executioner]
  type = Transient
  num_steps = 10
  dt = 0.1
  solve_type = PJFNK
  petsc_options_iname = '-pc_type -pc_hypre_type'
  petsc_options_value = 'hypre boomeramg'

[]

[Postprocessors]
  active = 'max_nl_dofs nl_dofs'
  [max_nl_dofs]
    type = TimeExtremeValue
    value_type = max
    postprocessor = nl_dofs
    execute_on = 'initial timestep_end'
  []
  [time_of_max_nl_dofs]
    type = TimeExtremeValue
    value_type = max
    output_type = time
    postprocessor = nl_dofs
    execute_on = 'initial timestep_end'
  []
  [nl_dofs]
    type = NumDOFs
    system = NL
    execute_on = 'initial timestep_end'
  []
[]

[Adaptivity]
  marker = marker
  max_h_level = 2
  [Markers]
    [marker]
      type = ValueRangeMarker
      lower_bound = 0.7
      upper_bound = 1.3
      buffer_size = 0.2
      variable = u
      invert = true
      third_state = DO_NOTHING
    []
  []
[]

[Outputs]
  csv = true
[]

(modules/solid_mechanics/test/tests/mean_cap_TC/small_deform6.i)

# apply nonuniform stretch in x, y and z directions using
# Lame lambda = 0.7E7, Lame mu = 1.0E7,
# trial_stress(0, 0) = 2.9
# trial_stress(1, 1) = 10.9
# trial_stress(2, 2) = 14.9
# With tensile_strength = 2, decaying to zero at internal parameter = 4E-7
# via a Cubic, the algorithm should return to:
# internal parameter = 2.26829E-7
# trace(stress) = 0.799989 = tensile_strength
# stress(0, 0) = -6.4
# stress(1, 1) = 1.6
# stress(2, 2) = 5.6

[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]


[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
[]

[Kernels]
  [SolidMechanics]
    displacements = 'disp_x disp_y disp_z'
  [../]
[]


[BCs]
  [./x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'front back'
    function = '-1E-7*x'
  [../]
  [./y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'front back'
    function = '3E-7*y'
  [../]
  [./z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'front back'
    function = '5E-7*z'
  [../]
[]

[AuxVariables]
  [./stress_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]

[AuxKernels]
  [./stress_xx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xx
    index_i = 0
    index_j = 0
  [../]
  [./stress_xy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xy
    index_i = 0
    index_j = 1
  [../]
  [./stress_xz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xz
    index_i = 0
    index_j = 2
  [../]
  [./stress_yy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yy
    index_i = 1
    index_j = 1
  [../]
  [./stress_yz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yz
    index_i = 1
    index_j = 2
  [../]
  [./stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zz
    index_i = 2
    index_j = 2
  [../]
  [./f]
    type = MaterialStdVectorAux
    index = 0
    property = plastic_yield_function
    variable = f
  [../]
[]

[Postprocessors]
  [./s_xx]
    type = PointValue
    point = '0 0 0'
    variable = stress_xx
  [../]
  [./s_xy]
    type = PointValue
    point = '0 0 0'
    variable = stress_xy
  [../]
  [./s_xz]
    type = PointValue
    point = '0 0 0'
    variable = stress_xz
  [../]
  [./s_yy]
    type = PointValue
    point = '0 0 0'
    variable = stress_yy
  [../]
  [./s_yz]
    type = PointValue
    point = '0 0 0'
    variable = stress_yz
  [../]
  [./s_zz]
    type = PointValue
    point = '0 0 0'
    variable = stress_zz
  [../]
  [./f]
    type = PointValue
    point = '0 0 0'
    variable = f
  [../]
[]

[UserObjects]
  [./tensile_strength]
    type = SolidMechanicsHardeningCubic
    value_0 = 2
    value_residual = 0
    internal_limit = 4E-7
  [../]
  [./compressive_strength]
    type = SolidMechanicsHardeningCubic
    value_0 = -1
    value_residual = 0
    internal_limit = 1E-8
  [../]
  [./cap]
    type = SolidMechanicsPlasticMeanCapTC
    tensile_strength = tensile_strength
    compressive_strength = compressive_strength
    yield_function_tolerance = 1E-5
    internal_constraint_tolerance = 1E-11
    use_custom_returnMap = true
    use_custom_cto = true
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    block = 0
    fill_method = symmetric_isotropic
    C_ijkl = '0.7E7 1E7'
  [../]
  [./strain]
    type = ComputeIncrementalStrain
    block = 0
    displacements = 'disp_x disp_y disp_z'
  [../]
  [./mean_cap]
    type = ComputeMultiPlasticityStress
    block = 0
    ep_plastic_tolerance = 1E-11
    plastic_models = cap
  [../]
[]


[Executioner]
  end_time = 1
  dt = 1
  type = Transient
[]


[Outputs]
  file_base = small_deform6
  exodus = false
  [./csv]
    type = CSV
  [../]
[]

(modules/combined/test/tests/stateful_mortar_constraints/stateful_mortar_npr.i)

E_block = 1e7
E_plank = 1e7
elem = QUAD4
order = FIRST

[Mesh]
  patch_size = 80
  patch_update_strategy = auto
  [plank]
    type = GeneratedMeshGenerator
    dim = 2
    xmin = -0.3
    xmax = 0.3
    ymin = -10
    ymax = 10
    nx = 2
    ny = 67
    elem_type = ${elem}
    boundary_name_prefix = plank
  []
  [plank_id]
    type = SubdomainIDGenerator
    input = plank
    subdomain_id = 1
  []
  [block]
    type = GeneratedMeshGenerator
    dim = 2
    xmin = 0.31
    xmax = 0.91
    ymin = 7.7
    ymax = 8.5
    nx = 3
    ny = 4
    elem_type = ${elem}
    boundary_name_prefix = block
    boundary_id_offset = 10
  []
  [block_id]
    type = SubdomainIDGenerator
    input = block
    subdomain_id = 2
  []

  [combined]
    type = MeshCollectionGenerator
    inputs = 'plank_id block_id'
  []
  [block_rename]
    type = RenameBlockGenerator
    input = combined
    old_block = '1 2'
    new_block = 'plank block'
  []

  [secondary]
    input = block_rename
    type = LowerDBlockFromSidesetGenerator
    sidesets = 'block_left'
    new_block_id = '30'
    new_block_name = 'frictionless_secondary_subdomain'
  []
  [primary]
    input = secondary
    type = LowerDBlockFromSidesetGenerator
    sidesets = 'plank_right'
    new_block_id = '20'
    new_block_name = 'frictionless_primary_subdomain'
  []
[]

[GlobalParams]
  displacements = 'disp_x disp_y'
[]

[Variables]
  [disp_x]
    order = ${order}
    block = 'plank block'
    scaling = '${fparse 2.0 / (E_plank + E_block)}'
  []
  [disp_y]
    order = ${order}
    block = 'plank block'
    scaling = '${fparse 2.0 / (E_plank + E_block)}'
  []
  [temp]
    order = ${order}
    block = 'plank block'
    scaling = 1e-1
  []
  [thermal_lm]
    order = ${order}
    block = 'frictionless_secondary_subdomain'
    scaling = 1e-7
  []
  [frictionless_normal_lm]
    order = ${order}
    block = 'frictionless_secondary_subdomain'
    use_dual = true
  []
[]

[AuxVariables]
  [stress_xx]
    order = FIRST
    family = MONOMIAL
    block = 'plank block'
  []
  [stress_yy]
    order = FIRST
    family = MONOMIAL
    block = 'plank block'
  []
  [stress_xx_recovered]
    order = FIRST
    family = LAGRANGE
    block = 'plank block'
  []
  [stress_yy_recovered]
    order = FIRST
    family = LAGRANGE
    block = 'plank block'
  []
[]

[AuxKernels]
  [stress_xx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xx
    index_i = 0
    index_j = 0
    execute_on = 'timestep_end'
    block = 'plank block'
  []
  [stress_yy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yy
    index_i = 1
    index_j = 1
    execute_on = 'timestep_end'
    block = 'plank block'
  []
  [stress_xx_recovered]
    type = NodalPatchRecoveryAux
    variable = stress_xx_recovered
    nodal_patch_recovery_uo = stress_xx_patch
    execute_on = 'TIMESTEP_END'
    block = 'plank block'
  []
  [stress_yy_recovered]
    type = NodalPatchRecoveryAux
    variable = stress_yy_recovered
    nodal_patch_recovery_uo = stress_yy_patch
    execute_on = 'TIMESTEP_END'
    block = 'plank block'
  []
[]

[Physics/SolidMechanics/QuasiStatic]
  [action]
    generate_output = 'stress_zz vonmises_stress hydrostatic_stress strain_xx strain_yy strain_zz'
    block = 'plank block'
    use_automatic_differentiation = false
    strain = FINITE
  []
[]

[Kernels]
  [hc]
    type = HeatConduction
    variable = temp
    use_displaced_mesh = true
    block = 'plank block'
  []
[]

[UserObjects]
  [weighted_gap_uo]
    type = LMWeightedGapUserObject
    primary_boundary = plank_right
    secondary_boundary = block_left
    primary_subdomain = frictionless_primary_subdomain
    secondary_subdomain = frictionless_secondary_subdomain
    lm_variable = frictionless_normal_lm
    disp_x = disp_x
    disp_y = disp_y
  []
  [stress_xx_patch]
    type = NodalPatchRecoveryMaterialProperty
    patch_polynomial_order = FIRST
    property = 'stress'
    component = '0 0'
    execute_on = 'NONLINEAR TIMESTEP_END'
    block = 'plank block'
  []
  [stress_yy_patch]
    type = NodalPatchRecoveryMaterialProperty
    patch_polynomial_order = FIRST
    property = 'stress'
    component = '1 1'
    execute_on = 'NONLINEAR TIMESTEP_END'
    block = 'plank block'
  []
[]

[Constraints]
  [weighted_gap_lm]
    type = ComputeWeightedGapLMMechanicalContact
    primary_boundary = plank_right
    secondary_boundary = block_left
    primary_subdomain = frictionless_primary_subdomain
    secondary_subdomain = frictionless_secondary_subdomain
    variable = frictionless_normal_lm
    disp_x = disp_x
    disp_y = disp_y
    use_displaced_mesh = true
    weighted_gap_uo = weighted_gap_uo
  []
  [normal_x]
    type = NormalMortarMechanicalContact
    primary_boundary = plank_right
    secondary_boundary = block_left
    primary_subdomain = frictionless_primary_subdomain
    secondary_subdomain = frictionless_secondary_subdomain
    variable = frictionless_normal_lm
    secondary_variable = disp_x
    component = x
    use_displaced_mesh = true
    compute_lm_residuals = false
    weighted_gap_uo = weighted_gap_uo
  []
  [normal_y]
    type = NormalMortarMechanicalContact
    primary_boundary = plank_right
    secondary_boundary = block_left
    primary_subdomain = frictionless_primary_subdomain
    secondary_subdomain = frictionless_secondary_subdomain
    variable = frictionless_normal_lm
    secondary_variable = disp_y
    component = y
    use_displaced_mesh = true
    compute_lm_residuals = false
    weighted_gap_uo = weighted_gap_uo
  []
  [thermal_contact]
    type = GapConductanceStatefulConstraint
    variable = thermal_lm
    secondary_variable = temp
    k = 0.0001
    use_displaced_mesh = true
    primary_boundary = plank_right
    primary_subdomain = frictionless_primary_subdomain
    secondary_boundary = block_left
    secondary_subdomain = frictionless_secondary_subdomain
    displacements = 'disp_x disp_y'
    stateful_variable = stress_xx_recovered
  []
[]

[BCs]
  [left_temp]
    type = DirichletBC
    variable = temp
    boundary = 'plank_left'
    value = 400
  []

  [right_temp]
    type = DirichletBC
    variable = temp
    boundary = 'block_right'
    value = 300
  []

  [left_x]
    type = DirichletBC
    variable = disp_x
    boundary = plank_left
    value = 0.0
  []
  [left_y]
    type = DirichletBC
    variable = disp_y
    boundary = plank_bottom
    value = 0.0
  []
  [right_x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = block_right
    function = '-0.04*sin(4*(t+1.5))+0.02'
    preset = false
  []
  [right_y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = block_right
    function = '-t'
    preset = false
  []
[]

[Materials]
  [plank]
    type = ComputeIsotropicElasticityTensor
    block = 'plank'
    poissons_ratio = 0.3
    youngs_modulus = ${E_plank}
  []
  [block]
    type = ComputeIsotropicElasticityTensor
    block = 'block'
    poissons_ratio = 0.3
    youngs_modulus = ${E_block}
  []
  [stress]
    type = ComputeFiniteStrainElasticStress
    block = 'plank block'
  []

  [heat_plank]
    type = HeatConductionMaterial
    block = plank
    thermal_conductivity = 2
    specific_heat = 1
  []
  [heat_block]
    type = HeatConductionMaterial
    block = block
    thermal_conductivity = 1
    specific_heat = 1
  []
[]

[Executioner]
  type = Transient
  solve_type = 'NEWTON'
  petsc_options = '-snes_converged_reason -ksp_converged_reason'
  petsc_options_iname = '-pc_type -pc_factor_shift_type -pc_factor_shift_amount -snes_max_it'
  petsc_options_value = 'lu       NONZERO               1e-15                   20'
  end_time = 0.5
  dt = 0.1
  dtmin = 0.1
  timestep_tolerance = 1e-6
  line_search = 'none'
[]

[Postprocessors]
  [avg_hydro]
    type = ElementAverageValue
    variable = hydrostatic_stress
    block = 'block'
  []
  [avg_temp]
    type = ElementAverageValue
    variable = temp
    block = 'block'
  []
  [max_hydro]
    type = ElementExtremeValue
    variable = hydrostatic_stress
    block = 'block'
  []
  [min_hydro]
    type = ElementExtremeValue
    variable = hydrostatic_stress
    block = 'block'
    value_type = min
  []
  [avg_vonmises]
    type = ElementAverageValue
    variable = vonmises_stress
    block = 'block'
  []
  [max_vonmises]
    type = ElementExtremeValue
    variable = vonmises_stress
    block = 'block'
  []
  [min_vonmises]
    type = ElementExtremeValue
    variable = vonmises_stress
    block = 'block'
    value_type = min
  []
  [stress_xx_recovered]
    type = ElementExtremeValue
    variable = stress_xx_recovered
    block = 'block'
    value_type = max
  []
  [stress_yy_recovered]
    type = ElementExtremeValue
    variable = stress_yy_recovered
    block = 'block'
    value_type = max
  []
  [min_temperature]
    type = ElementExtremeValue
    variable = temp
    block = 'plank'
    value_type = min
  []
[]

[Outputs]
  exodus = true
  [out]
    type = CSV
  []
  [dof]
    type = DOFMap
    execute_on = 'initial'
  []
[]

[Debug]
  show_var_residual_norms = true
[]

(modules/contact/test/tests/mortar_aux_kernels/block-dynamics-aux-vel.i)

starting_point = 2e-1
offset = -0.19

[GlobalParams]
  displacements = 'disp_x disp_y'
[]

[Mesh]
  file = long-bottom-block-1elem-blocks.e
[]

[Variables]
  [disp_x]
    block = '1 2'
  []
  [disp_y]
    block = '1 2'
  []
  [normal_lm]
    block = 3
    use_dual = true
  []
[]

[ICs]
  [disp_y]
    block = 2
    variable = disp_y
    value = '${fparse starting_point + offset}'
    type = ConstantIC
  []
[]

[Kernels]
  [DynamicTensorMechanics]
    displacements = 'disp_x disp_y'
    generate_output = 'stress_xx stress_yy'
    strain = FINITE
    block = '1 2'
    stiffness_damping_coefficient = 1.0
    hht_alpha = 0.0
  []
  [inertia_x]
    type = InertialForce
    variable = disp_x
    velocity = vel_x
    acceleration = accel_x
    beta = 0.25
    gamma = 0.5
    alpha = 0
    eta = 0.0
    block = '1 2'
  []
  [inertia_y]
    type = InertialForce
    variable = disp_y
    velocity = vel_y
    acceleration = accel_y
    beta = 0.25
    gamma = 0.5
    alpha = 0
    eta = 0.0
    block = '1 2'
  []
[]

[Materials]
  [elasticity_2]
    type = ComputeIsotropicElasticityTensor
    block = '2'
    youngs_modulus = 1e6
    poissons_ratio = 0.3
  []
  [elasticity_1]
    type = ComputeIsotropicElasticityTensor
    block = '1'
    youngs_modulus = 1e8
    poissons_ratio = 0.3
  []
  [stress]
    type = ComputeFiniteStrainElasticStress
    block = '1 2'
  []
  [strain]
    type = ComputeFiniteStrain
    block = '1 2'
  []
  [density]
    type = GenericConstantMaterial
    block = '1 2'
    prop_names = 'density'
    prop_values = '7750'
  []
[]

[AuxVariables]
  [gap_vel]
    block = '3'
  []
  [vel_x]
    block = '1 2'
  []
  [accel_x]
    block = '1 2'
  []
  [vel_y]
    block = '1 2'
  []
  [accel_y]
    block = '1 2'
  []
  [vel_z]
    block = '1 2'
  []
  [accel_z]
    block = '1 2'
  []
[]

[AuxKernels]
  [gap_vel]
    type = WeightedGapVelAux
    variable = gap_vel
    primary_boundary = 20
    secondary_boundary = 10
    primary_subdomain = 4
    secondary_subdomain = 3
    disp_x = disp_x
    disp_y = disp_y
    correct_edge_dropping = true
    execute_on = 'TIMESTEP_END'
  []
  [accel_x]
    type = NewmarkAccelAux
    variable = accel_x
    displacement = disp_x
    velocity = vel_x
    beta = 0.25
    execute_on = 'linear timestep_end'
  []
  [vel_x]
    type = NewmarkVelAux
    variable = vel_x
    acceleration = accel_x
    gamma = 0.5
    execute_on = 'linear timestep_end'
  []
  [accel_y]
    type = NewmarkAccelAux
    variable = accel_y
    displacement = disp_y
    velocity = vel_y
    beta = 0.25
    execute_on = 'linear timestep_end'
  []
  [vel_y]
    type = NewmarkVelAux
    variable = vel_y
    acceleration = accel_y
    gamma = 0.5
    execute_on = 'linear timestep_end'
  []
[]

[UserObjects]
  [weighted_gap_uo]
    type = LMWeightedGapUserObject
    primary_boundary = 20
    secondary_boundary = 10
    primary_subdomain = 4
    secondary_subdomain = 3
    lm_variable = normal_lm
    disp_x = disp_x
    disp_y = disp_y
  []
[]

[Constraints]
  [weighted_gap_lm]
    type = ComputeDynamicWeightedGapLMMechanicalContact
    primary_boundary = 20
    secondary_boundary = 10
    primary_subdomain = 4
    secondary_subdomain = 3
    variable = normal_lm
    disp_x = disp_x
    disp_y = disp_y
    use_displaced_mesh = true
    c = 1e4
    capture_tolerance = 1.0e-5
    newmark_beta = 0.25
    newmark_gamma = 0.5
  []
  [normal_x]
    type = NormalMortarMechanicalContact
    primary_boundary = 20
    secondary_boundary = 10
    primary_subdomain = 4
    secondary_subdomain = 3
    variable = normal_lm
    secondary_variable = disp_x
    component = x
    use_displaced_mesh = true
    compute_lm_residuals = false
    weighted_gap_uo = weighted_gap_uo
  []
  [normal_y]
    type = NormalMortarMechanicalContact
    primary_boundary = 20
    secondary_boundary = 10
    primary_subdomain = 4
    secondary_subdomain = 3
    variable = normal_lm
    secondary_variable = disp_y
    component = y
    use_displaced_mesh = true
    compute_lm_residuals = false
    weighted_gap_uo = weighted_gap_uo
  []
[]

[BCs]
  [botx]
    type = DirichletBC
    variable = disp_x
    boundary = 40
    value = 0.0
  []
  [boty]
    type = DirichletBC
    variable = disp_y
    boundary = 40
    value = 0.0
  []
  [topy]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 30
    function = '${starting_point} * cos(2 * pi / 4 * t) + ${offset}'
  []
  [leftx]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 50
    function = '1e-2 * t'
  []
[]

[Executioner]
  type = Transient
  end_time = 0.1
  dt = 0.05
  dtmin = 0.05
  solve_type = 'PJFNK'
  petsc_options = '-snes_converged_reason -ksp_converged_reason -pc_svd_monitor '
                  '-snes_linesearch_monitor -snes_ksp_ew'
  petsc_options_iname = '-pc_type -pc_factor_mat_solver_type -pc_factor_shift_type -pc_factor_shift_amount -mat_mffd_err '
  petsc_options_value = 'lu       superlu_dist                  NONZERO               1e-15                   1e-5'
  nl_max_its = 20
  line_search = 'none'
  snesmf_reuse_base = false

  [TimeIntegrator]
    type = NewmarkBeta
    beta = 0.25
    gamma = 0.5
  []
[]

[Debug]
  show_var_residual_norms = true
[]

[Outputs]
  exodus = true
  checkpoint = true
[]

[Preconditioning]
  [smp]
    type = SMP
    full = true
  []
[]

[Postprocessors]
  active = 'num_nl cumulative contact'
  [num_nl]
    type = NumNonlinearIterations
  []
  [cumulative]
    type = CumulativeValuePostprocessor
    postprocessor = num_nl
  []
  [contact]
    type = ContactDOFSetSize
    variable = normal_lm
    subdomain = '3'
    execute_on = 'nonlinear timestep_end'
  []
[]

(modules/porous_flow/test/tests/heterogeneous_materials/vol_expansion_poroperm.i)

# Apply an increasing porepressure, with zero mechanical forces,
# and observe the corresponding volumetric expansion and porosity increase.
# Check that permeability is calculated correctly from porosity.
#
# P = t
# With the Biot coefficient being 1, the effective stresses should be
# stress_xx = stress_yy = stress_zz = t
# With bulk modulus = 1 then should have
# vol_strain = strain_xx + strain_yy + strain_zz = t.
#
# With the biot coefficient being 1, the porosity (phi) # at time t is:
# phi = 1 - (1 - phi0) / exp(vol_strain)
# where phi0 is the porosity at t = 0 and P = 0.
#
# The permeability (k) is
# k = k_anisotropic * f * d^2 * phi^n / (1-phi)^m

[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = 0
  xmax = 1
  ymin = 0
  ymax = 1
  zmin = 0
  zmax = 1
[]

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
  block = 0
  PorousFlowDictator = dictator
[]

[Variables]
  [disp_x]
  []
  [disp_y]
  []
  [disp_z]
  []
  [p]
  []
[]

[BCs]
  [p]
    type = FunctionDirichletBC
    boundary = 'bottom top'
    variable = p
    function = t
  []
  [xmin]
    type = DirichletBC
    boundary = left
    variable = disp_x
    value = 0
  []
  [ymin]
    type = DirichletBC
    boundary = bottom
    variable = disp_y
    value = 0
  []
  [zmin]
    type = DirichletBC
    boundary = back
    variable = disp_z
    value = 0
  []
[]

[Kernels]
  [p_does_not_really_diffuse]
    type = Diffusion
    variable = p
  []
  [TensorMechanics]
    displacements = 'disp_x disp_y disp_z'
  []
  [poro_x]
    type = PorousFlowEffectiveStressCoupling
    biot_coefficient = 1
    variable = disp_x
    component = 0
  []
  [poro_y]
    type = PorousFlowEffectiveStressCoupling
    biot_coefficient = 1
    variable = disp_y
    component = 1
  []
  [poro_z]
    type = PorousFlowEffectiveStressCoupling
    biot_coefficient = 1
    variable = disp_z
    component = 2
  []
[]

[AuxVariables]
  [poro0]
    order = CONSTANT
    family = MONOMIAL
  []
  [poro]
    order = CONSTANT
    family = MONOMIAL
  []
  [perm_x]
    order = CONSTANT
    family = MONOMIAL
  []
  [perm_y]
    order = CONSTANT
    family = MONOMIAL
  []
  [perm_z]
    order = CONSTANT
    family = MONOMIAL
  []
[]

[ICs]
  [poro0]
    type = RandomIC
    seed = 0
    variable = poro0
    max = 0.15
    min = 0.05
  []
[]

[AuxKernels]
  [poromat]
    type = PorousFlowPropertyAux
    property = porosity
    variable = poro
  []
  [perm_x]
    type = PorousFlowPropertyAux
    property = permeability
    variable = perm_x
    row = 0
    column = 0
  []
  [perm_y]
    type = PorousFlowPropertyAux
    property = permeability
    variable = perm_y
    row = 1
    column = 1
  []
  [perm_z]
    type = PorousFlowPropertyAux
    property = permeability
    variable = perm_z
    row = 2
    column = 2
  []
[]

[UserObjects]
  [dictator]
    type = PorousFlowDictator
    porous_flow_vars = 'p'
    number_fluid_phases = 1
    number_fluid_components = 1
  []
  [pc]
    type = PorousFlowCapillaryPressureVG
    m = 0.5
    alpha = 1
  []
[]

[Materials]
  [temperature]
    type = PorousFlowTemperature
  []
  [elasticity_tensor]
    type = ComputeIsotropicElasticityTensor
    bulk_modulus = 1
    shear_modulus = 1
  []
  [strain]
    type = ComputeSmallStrain
  []
  [stress]
    type = ComputeLinearElasticStress
  []
  [vol_strain]
    type = PorousFlowVolumetricStrain
  []
  [ppss]
    type = PorousFlow1PhaseP
    porepressure = p
    capillary_pressure = pc
  []
  [p_eff]
    type = PorousFlowEffectiveFluidPressure
  []
  [porosity]
    type = PorousFlowPorosity
    fluid = true
    mechanical = true
    porosity_zero = poro0
    solid_bulk = 1
    biot_coefficient = 1
  []
  [permeability]
    type = PorousFlowPermeabilityKozenyCarman
    k_anisotropy = '1 0 0  0 2 0  0 0 0.1'
    poroperm_function = kozeny_carman_fd2
    f = 0.1
    d = 5
    m = 2
    n = 7
  []
[]

[Preconditioning]
  [andy]
    type = SMP
    full = true
    petsc_options_iname = '-ksp_type -pc_type -snes_atol -snes_rtol -snes_max_it -ksp_atol -ksp_rtol'
    petsc_options_value = 'gmres bjacobi 1E-10 1E-10 10 1E-15 1E-10'
  []
[]

[Executioner]
  type = Transient
  solve_type = Newton
  start_time = 0
  dt = 0.1
  end_time = 1
[]

[Outputs]
  exodus = true
  execute_on = 'timestep_end'
[]

(modules/solid_mechanics/test/tests/uel/reference.i)

[Mesh]
  [gen]
    type = GeneratedMeshGenerator
    dim = 2
    nx = 20
    ny = 10
    xmax = 10
    ymax = 3
    elem_type = TRI3
  []
  [pin]
    type = ExtraNodesetGenerator
    nodes = 106
    new_boundary = pin
    input = gen
  []
[]

[GlobalParams]
  displacements = 'disp_x disp_y'
[]

[Physics/SolidMechanics/QuasiStatic]
  [all]
    strain = SMALL
    incremental = false
    add_variables = true
    extra_vector_tags = 'kernel_residual'
  []
[]

[BCs]
  [left_x]
    type = DirichletBC
    variable = disp_x
    boundary = left
    value = 0
  []
  [left_y]
    type = DirichletBC
    variable = disp_y
    boundary = pin
    value = 0
  []

  inactive = 'right_dirichlet'
  [right_neumann]
    type = FunctionNeumannBC
    variable = disp_x
    function = t
    boundary = right
  []
  [right_dirichlet]
    type = FunctionDirichletBC
    variable = disp_x
    function = t/10
    boundary = right
  []
[]

[Materials]
  [stress]
    type = ComputeLinearElasticStress
  []
  [elasticity]
    type = ComputeIsotropicElasticityTensor
    youngs_modulus = 100
    poissons_ratio = 0.3
  []
[]

[Problem]
  extra_tag_vectors = 'kernel_residual'
[]

[AuxVariables]
  [res_x]
  []
  [res_y]
  []
[]

[AuxKernels]
  [res_x]
    type = TagVectorAux
    variable = res_x
    v = disp_x
    vector_tag = kernel_residual
  []
  [res_y]
    type = TagVectorAux
    variable = res_y
    v = disp_y
    vector_tag = kernel_residual
  []
[]

[Executioner]
  type = Transient
  solve_type = NEWTON
  petsc_options_iname = '-pc_type'
  petsc_options_value = 'lu'
  dt = 1
  num_steps = 15
[]

[Postprocessors]
  [delta_l]
    type = SideAverageValue
    variable = disp_x
    boundary = right
    execute_on = 'INITIAL TIMESTEP_END'
  []
  [V]
    type = ElementIntegralMaterialProperty
    mat_prop = 1
    use_displaced_mesh = true
    execute_on = 'INITIAL TIMESTEP_END'
  []
[]

[Outputs]
  exodus = true
  csv = true
[]

(modules/heat_transfer/test/tests/gap_heat_transfer_htonly/gap_heat_transfer_htonly_rspherical.i)

#
# 1-D spherical Gap Heat Transfer Test
#
# This test exercises 1-D gap heat transfer for a constant conductivity gap.
#
# The mesh consists of two "blocks" with a mesh biased toward the gap
#   between them.  Each block is unit length.  The gap between them is one
#   unit in length.
#
# The conductivity of both blocks is set very large to achieve a uniform temperature
#  across each block. The temperature of the far left boundary
#  is ramped from 100 to 200 over one time unit, and then held fixed for an additional
#  time unit.  The temperature of the far right boundary is held fixed at 100.
#
# A simple analytical solution is possible for the heat flux between the blocks, or spheres in the case of RSPHERICAL.:
#
#  Flux = (T_left - T_right) * (gapK/(r^2*((1/r1)-(1/r2))))
#
# For gapK = 1 (default value)
#
# The area is taken as the area of the secondary (inner) surface:
#
# Area = 4 * pi * 1 * 1
#
# The integrated heat flux across the gap at time 2 is then:
#
# 4*pi*k*delta_T/((1/r1)-(1/r2))
# 4*pi*1*100/((1/1) - (1/2)) =  2513.3 watts
#
# For comparison, see results from the flux post processors.
#
#

[Problem]
  coord_type = RSPHERICAL
[]

[Mesh]
  file = gap_heat_transfer_htonly_rspherical.e
  construct_side_list_from_node_list = true
[]

[Functions]
  [./temp]
    type = PiecewiseLinear
    x = '0   1   2'
    y = '100 200 200'
  [../]
[]

[ThermalContact]
  [./thermal_contact]
    type = GapHeatTransfer
    variable = temp
    primary = 3
    secondary = 2
    emissivity_primary = 0
    emissivity_secondary = 0
    gap_geometry_type = sphere
  [../]
[]

[Variables]
  [./temp]
    order = FIRST
    family = LAGRANGE
    initial_condition = 100
  [../]
[]

[AuxVariables]
  [./gap_cond]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]

[Kernels]
  [./heat]
    type = HeatConduction
    variable = temp
  [../]
[]


[BCs]
  [./temp_far_left]
    type = FunctionDirichletBC
    boundary = 1
    variable = temp
    function = temp
  [../]

  [./temp_far_right]
    type = DirichletBC
    boundary = 4
    variable = temp
    value = 100
  [../]
[]

[AuxKernels]
  [./conductance]
    type = MaterialRealAux
    property = gap_conductance
    variable = gap_cond
    boundary = 2
  [../]
[]

[Materials]
  [./heat1]
    type = HeatConductionMaterial
    block = '1 2'
    specific_heat = 1.0
    thermal_conductivity = 1e6
  [../]
  [./density]
    type = GenericConstantMaterial
    block = '1 2'
    prop_names = 'density'
    prop_values = '1.0'
  [../]
[]

[Executioner]
  type = Transient

  solve_type = 'PJFNK'

  # I don't know enough about this test to say why it needs such a
  # loose nl_abs_tol... after timestep 10 the residual basically can't
  # be reduced much beyond the initial residual.  The test probably
  # needs to be revisited to determine why.
  nl_abs_tol = 1e-3
  nl_rel_tol = 1e-10
  l_tol = 1e-6
  l_max_its = 100
  line_search = 'none'
  nl_max_its = 10

  dt = 1e-1
  dtmin = 1e-1
  end_time = 2.0
[]

[Postprocessors]

  [./temp_left]
    type = SideAverageValue
    boundary = 2
    variable = temp
    execute_on = 'initial timestep_end'
  [../]

  [./temp_right]
    type = SideAverageValue
    boundary = 3
    variable = temp
    execute_on = 'initial timestep_end'
  [../]

  [./flux_left]
    type = SideDiffusiveFluxIntegral
    variable = temp
    boundary = 2
    diffusivity = thermal_conductivity
  [../]

  [./flux_right]
    type = SideDiffusiveFluxIntegral
    variable = temp
    boundary = 3
    diffusivity = thermal_conductivity
  [../]
[]


[Outputs]
  exodus = true
[]

(modules/solid_mechanics/test/tests/capped_drucker_prager/small_deform3_outer_tip.i)

# apply repeated stretches in x z directions, and smaller stretches along the y direction,
# so that sigma_I = sigma_II,
# which means that lode angle = 30deg.
# The allows yield surface in meridional plane to be mapped out

[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]


[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]

[Physics/SolidMechanics/QuasiStatic]
  [./all]
    add_variables = true
    incremental = true
    generate_output = 'stress_xx stress_xy stress_xz stress_yy stress_yz stress_zz'
  [../]
[]

[BCs]
  [./x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'front back'
    function = '1E-6*x*t'
  [../]
  [./y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'front back'
    function = '-1.7E-6*y*t'
  [../]
  [./z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'front back'
    function = '1E-6*z*t'
  [../]
[]

[AuxVariables]
  [./mc_int]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./yield_fcn]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]

[AuxKernels]
  [./mc_int_auxk]
    type = MaterialStdVectorAux
    index = 0
    property = plastic_internal_parameter
    variable = mc_int
  [../]
  [./yield_fcn_auxk]
    type = MaterialStdVectorAux
    index = 0
    property = plastic_yield_function
    variable = yield_fcn
  [../]
[]

[Postprocessors]
  [./s_xx]
    type = PointValue
    point = '0 0 0'
    variable = stress_xx
  [../]
  [./s_xy]
    type = PointValue
    point = '0 0 0'
    variable = stress_xy
  [../]
  [./s_xz]
    type = PointValue
    point = '0 0 0'
    variable = stress_xz
  [../]
  [./s_yy]
    type = PointValue
    point = '0 0 0'
    variable = stress_yy
  [../]
  [./s_yz]
    type = PointValue
    point = '0 0 0'
    variable = stress_yz
  [../]
  [./s_zz]
    type = PointValue
    point = '0 0 0'
    variable = stress_zz
  [../]
  [./internal]
    type = PointValue
    point = '0 0 0'
    variable = mc_int
  [../]
  [./f]
    type = PointValue
    point = '0 0 0'
    variable = yield_fcn
  [../]
[]

[UserObjects]
  [./ts]
    type = SolidMechanicsHardeningConstant
    value = 1E5
  [../]
  [./cs]
    type = SolidMechanicsHardeningConstant
    value = 1E5
  [../]
  [./mc_coh]
    type = SolidMechanicsHardeningConstant
    value = 10
  [../]
  [./mc_phi]
    type = SolidMechanicsHardeningConstant
    value = 35
    convert_to_radians = true
  [../]
  [./mc_psi]
    type = SolidMechanicsHardeningConstant
    value = 5
    convert_to_radians = true
  [../]
  [./dp]
    type = SolidMechanicsPlasticDruckerPrager
    mc_cohesion = mc_coh
    mc_friction_angle = mc_phi
    mc_dilation_angle = mc_psi
    mc_interpolation_scheme = outer_tip
    yield_function_tolerance = 1      # irrelevant here
    internal_constraint_tolerance = 1 # irrelevant here
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    block = 0
    fill_method = symmetric_isotropic
    C_ijkl = '0 1E7'
  [../]
  [./admissible]
    type = ComputeMultipleInelasticStress
    inelastic_models = mc
    perform_finite_strain_rotations = false
  [../]
  [./mc]
    type = CappedDruckerPragerStressUpdate
    DP_model = dp
    tensile_strength = ts
    compressive_strength = cs
    yield_function_tol = 1E-8
    tip_smoother = 8
    smoothing_tol = 1E-7
  [../]
[]


[Executioner]
  end_time = 10
  dt = 1
  type = Transient
[]


[Outputs]
  file_base = small_deform3_outer_tip
  exodus = false
  [./csv]
    type = CSV
  [../]
[]

(modules/contact/test/tests/bouncing-block-contact/frictional-nodal-min-normal-lm-mortar-pdass-tangential-lm-mortar-disp.i)

starting_point = 2e-1

# We offset slightly so we avoid the case where the bottom of the secondary block and the top of the
# primary block are perfectly vertically aligned which can cause the backtracking line search some
# issues for a coarse mesh (basic line search handles that fine)
offset = 1e-2

[GlobalParams]
  displacements = 'disp_x disp_y'
  diffusivity = 1e0
  scaling = 1e0
[]

[Mesh]
  [file_mesh]
    type = FileMeshGenerator
    file = long-bottom-block-1elem-blocks-coarse.e
  []
[]

[Variables]
  [disp_x]
    block = '1 2'
    # order = SECOND
  []
  [disp_y]
    block = '1 2'
    # order = SECOND
  []
  [frictional_normal_lm]
    block = 3
    use_dual = true
  []
  [frictional_tangential_lm]
    block = 3
    use_dual = true
  []
[]

[ICs]
  [disp_y]
    block = 2
    variable = disp_y
    value = '${fparse starting_point + offset}'
    type = ConstantIC
  []
[]

[Kernels]
  [disp_x]
    type = MatDiffusion
    variable = disp_x
  []
  [disp_y]
    type = MatDiffusion
    variable = disp_y
  []
[]

[UserObjects]
  [weighted_velocities_uo]
    type = LMWeightedVelocitiesUserObject
    primary_boundary = 20
    secondary_boundary = 10
    primary_subdomain = 4
    secondary_subdomain = 3
    lm_variable_normal = frictional_normal_lm
    lm_variable_tangential_one = frictional_tangential_lm
    secondary_variable = disp_x
    disp_x = disp_x
    disp_y = disp_y
  []
[]


[Constraints]
  [frictional_normal_lm]
    type = ComputeFrictionalForceLMMechanicalContact
    primary_boundary = 20
    secondary_boundary = 10
    primary_subdomain = 4
    secondary_subdomain = 3
    variable = frictional_normal_lm
    friction_lm = frictional_tangential_lm
    disp_x = disp_x
    disp_y = disp_y
    mu = 0.1
    c = 1.0e-2
    c_t = 1.0e-1
    weighted_gap_uo = weighted_velocities_uo
    weighted_velocities_uo = weighted_velocities_uo
  []
  [normal_x]
    type = NormalMortarMechanicalContact
    primary_boundary = 20
    secondary_boundary = 10
    primary_subdomain = 4
    secondary_subdomain = 3
    variable = frictional_normal_lm
    secondary_variable = disp_x
    component = x
    use_displaced_mesh = true
    compute_lm_residuals = false
    weighted_gap_uo = weighted_velocities_uo
  []
  [normal_y]
    type = NormalMortarMechanicalContact
    primary_boundary = 20
    secondary_boundary = 10
    primary_subdomain = 4
    secondary_subdomain = 3
    variable = frictional_normal_lm
    secondary_variable = disp_y
    component = y
    use_displaced_mesh = true
    compute_lm_residuals = false
    weighted_gap_uo = weighted_velocities_uo
  []
  [tangential_x]
    type = TangentialMortarMechanicalContact
    primary_boundary = 20
    secondary_boundary = 10
    primary_subdomain = 4
    secondary_subdomain = 3
    variable = frictional_tangential_lm
    secondary_variable = disp_x
    component = x
    use_displaced_mesh = true
    compute_lm_residuals = false
    weighted_velocities_uo = weighted_velocities_uo
  []
  [tangential_y]
    type = TangentialMortarMechanicalContact
    primary_boundary = 20
    secondary_boundary = 10
    primary_subdomain = 4
    secondary_subdomain = 3
    variable = frictional_tangential_lm
    secondary_variable = disp_y
    component = y
    use_displaced_mesh = true
    compute_lm_residuals = false
    weighted_velocities_uo = weighted_velocities_uo
  []
[]

[BCs]
  [botx]
    type = DirichletBC
    variable = disp_x
    boundary = 40
    value = 0.0
  []
  [boty]
    type = DirichletBC
    variable = disp_y
    boundary = 40
    value = 0.0
  []
  [topy]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 30
    function = '${starting_point} * cos(2 * pi / 40 * t) + ${offset}'
  []
  [leftx]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 50
    function = '1e-2 * t'
  []
[]

[Executioner]
  type = Transient
  end_time = 200
  dt = 5
  dtmin = .1
  solve_type = 'PJFNK'
  petsc_options = '-snes_converged_reason -ksp_converged_reason -pc_svd_monitor '
                  '-snes_linesearch_monitor -snes_ksp_ew'
  petsc_options_iname = '-pc_type -pc_factor_shift_type -pc_factor_shift_amount -mat_mffd_err'
  petsc_options_value = 'lu       NONZERO               1e-15                   1e-5'
  l_max_its = 30
  nl_max_its = 20
  line_search = 'none'
  snesmf_reuse_base = false
[]

[Debug]
  show_var_residual_norms = true
[]

[Outputs]
  exodus = true
[]

[Preconditioning]
  [smp]
    type = SMP
    full = true
  []
[]

[Postprocessors]
[]

(modules/contact/test/tests/pdass_problems/cylinder_friction_penalty_adaptivity.i)

[GlobalParams]
  volumetric_locking_correction = true
  displacements = 'disp_x disp_y'
[]

[Mesh]
  [input_file]
    type = FileMeshGenerator
    file = hertz_cyl_coarser.e
  []
  [secondary]
    type = LowerDBlockFromSidesetGenerator
    new_block_id = 10001
    new_block_name = 'secondary_lower'
    sidesets = '3'
    input = input_file
  []
  [primary]
    type = LowerDBlockFromSidesetGenerator
    new_block_id = 10000
    sidesets = '2'
    new_block_name = 'primary_lower'
    input = secondary
  []
  allow_renumbering = false
[]

[Problem]
  type = ReferenceResidualProblem
  extra_tag_vectors = 'ref'
  reference_vector = 'ref'
[]

[Variables]
  [disp_x]
    order = FIRST
    family = LAGRANGE
  []
  [disp_y]
    order = FIRST
    family = LAGRANGE
  []
[]

[Physics/SolidMechanics/QuasiStatic/all]
  strain = FINITE
  extra_vector_tags = 'ref'
  block = '1 2 3 4 5 6 7'
  generate_output = 'stress_xx stress_yy stress_xy'
[]

[AuxVariables]
  [penalty_normal_pressure]
  []
  [penalty_frictional_pressure]
  []
  [accumulated_slip_one]
  []
  [tangential_vel_one]
  []
  [normal_gap]
  []
  [react_x]
  []
  [react_y]
  []
[]

[Functions]
  [disp_ramp_vert]
    type = PiecewiseLinear
    x = '0. 1. 3.5'
    y = '0. -0.020 -0.020'
  []
  [disp_ramp_horz]
    type = PiecewiseLinear
    x = '0. 1. 3.5'
    y = '0. 0.0 0.015'
  []
[]

[AuxKernels]
  [penalty_normal_pressure]
    type = PenaltyMortarUserObjectAux
    variable = penalty_normal_pressure
    user_object = friction_uo
    contact_quantity = normal_pressure
  []
  [penalty_frictional_pressure]
    type = PenaltyMortarUserObjectAux
    variable = penalty_frictional_pressure
    user_object = friction_uo
    contact_quantity = tangential_pressure_one
  []
  [penalty_accumulated_slip]
    type = PenaltyMortarUserObjectAux
    variable = accumulated_slip_one
    user_object = friction_uo
    contact_quantity = accumulated_slip_one
  []
  [penalty_tangential_vel]
    type = PenaltyMortarUserObjectAux
    variable = tangential_vel_one
    user_object = friction_uo
    contact_quantity = tangential_velocity_one
  []
  [penalty_gap]
    type = PenaltyMortarUserObjectAux
    variable = normal_gap
    user_object = friction_uo
    contact_quantity = normal_gap
  []
  [react_x]
    type = TagVectorAux
    vector_tag = 'ref'
    v = 'disp_x'
    variable = 'react_x'
  []
  [react_y]
    type = TagVectorAux
    vector_tag = 'ref'
    v = 'disp_y'
    variable = 'react_y'
  []
[]

[Postprocessors]
  [bot_react_x]
    type = NodalSum
    variable = react_x
    boundary = 1
  []
  [bot_react_y]
    type = NodalSum
    variable = react_y
    boundary = 1
  []
  [top_react_x]
    type = NodalSum
    variable = react_x
    boundary = 4
  []
  [top_react_y]
    type = NodalSum
    variable = react_y
    boundary = 4
  []
  [_dt]
    type = TimestepSize
  []
  [num_lin_it]
    type = NumLinearIterations
  []
  [num_nonlin_it]
    type = NumNonlinearIterations
  []
  [cumulative]
    type = CumulativeValuePostprocessor
    postprocessor = num_nonlin_it
  []
  [gap]
    type = SideExtremeValue
    value_type = min
    variable = normal_gap
    boundary = 3
  []
  [num_al]
    type = NumAugmentedLagrangeIterations
  []
[]

[BCs]
  [side_x]
    type = DirichletBC
    variable = disp_y
    boundary = '1 2'
    value = 0.0
  []
  [bot_y]
    type = DirichletBC
    variable = disp_x
    boundary = '1 2'
    value = 0.0
  []
  [top_y_disp]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 4
    function = disp_ramp_vert
  []
  [top_x_disp]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 4
    function = disp_ramp_horz
  []
[]

[Materials]
  [stuff1_elas_tens]
    type = ComputeIsotropicElasticityTensor
    block = '1'
    youngs_modulus = 1e10
    poissons_ratio = 0.0
  []
  [stuff1_stress]
    type = ComputeFiniteStrainElasticStress
    block = '1'
  []
  [stuff2_elas_tens]
    type = ComputeIsotropicElasticityTensor
    block = '2 3 4 5 6 7'
    youngs_modulus = 1e6
    poissons_ratio = 0.3
  []
  [stuff2_stress]
    type = ComputeFiniteStrainElasticStress
    block = '2 3 4 5 6 7'
  []
[]

[Executioner]
  type = Transient
  solve_type = 'PJFNK'

  petsc_options = '-snes_ksp_ew'
  petsc_options_iname = '-pc_type -pc_factor_mat_solver_type -pc_factor_shift_type -pc_factor_shift_amount -mat_mffd_err'
  petsc_options_value = 'lu       superlu_dist                  NONZERO               1e-15                   1e-5'

  line_search = 'none'

  nl_abs_tol = 1e-10

  start_time = 0.0
  end_time = 0.3 # 3.5
  l_tol = 1e-4
  dt = 0.1
  dtmin = 0.001
  [Predictor]
    type = SimplePredictor
    scale = 1.0
  []
[]

[Preconditioning]
  [SMP]
    type = SMP
    full = true
  []
[]

[VectorPostprocessors]
  [surface]
    type = NodalValueSampler
    use_displaced_mesh = false
    variable = 'disp_x disp_y penalty_normal_pressure penalty_frictional_pressure normal_gap'
    boundary = '3'
    sort_by = id
  []
[]

[Outputs]
  print_linear_residuals = true
  perf_graph = true
  exodus = true
  csv = false
  [console]
    type = Console
    max_rows = 5
  []
  [vectorpp_output]
    type = CSV
    create_final_symlink = true
    file_base = cylinder_friction_penalty_adaptivity
    execute_on = 'INITIAL TIMESTEP_END FINAL'
  []
[]

[UserObjects]
  [friction_uo]
    type = PenaltyFrictionUserObject
    primary_boundary = '2'
    secondary_boundary = '3'
    primary_subdomain = '10000'
    secondary_subdomain = '10001'
    disp_x = disp_x
    disp_y = disp_y
    friction_coefficient = 0.4
    secondary_variable = disp_x
    penalty = 5e7
    penalty_friction = 5e8
  []
  [geo]
    type = GeometrySphere
    boundary = 3
    center = '0 4 0'
    radius = 3
  []
[]

[Adaptivity]
  [Markers]
    [contact]
      type = BoundaryMarker
      mark = REFINE
      next_to = 3
    []
  []
  initial_marker = contact
  initial_steps = 2
[]

[Constraints]
  [x]
    type = NormalMortarMechanicalContact
    primary_boundary = '2'
    secondary_boundary = '3'
    primary_subdomain = '10000'
    secondary_subdomain = '10001'
    secondary_variable = disp_x
    component = x
    use_displaced_mesh = true
    compute_lm_residuals = false
    weighted_gap_uo = friction_uo
  []
  [y]
    type = NormalMortarMechanicalContact
    primary_boundary = '2'
    secondary_boundary = '3'
    primary_subdomain = '10000'
    secondary_subdomain = '10001'
    secondary_variable = disp_y
    component = y
    use_displaced_mesh = true
    compute_lm_residuals = false
    weighted_gap_uo = friction_uo
  []
  [tangential_x]
    type = TangentialMortarMechanicalContact
    primary_boundary = 2
    secondary_boundary = 3
    primary_subdomain = 10000
    secondary_subdomain = 10001
    secondary_variable = disp_x
    component = x
    use_displaced_mesh = true
    compute_lm_residuals = false
    weighted_velocities_uo = friction_uo
  []
  [tangential_y]
    type = TangentialMortarMechanicalContact
    primary_boundary = 2
    secondary_boundary = 3
    primary_subdomain = 10000
    secondary_subdomain = 10001
    secondary_variable = disp_y
    component = y
    use_displaced_mesh = true
    compute_lm_residuals = false
    weighted_velocities_uo = friction_uo
  []
[]

(modules/contact/test/tests/mortar_aux_kernels/pressure-aux-friction.i)

[GlobalParams]
  displacements = 'disp_x disp_y'
  volumetric_locking_correction = true
[]

[Mesh]
  [left_block]
    type = GeneratedMeshGenerator
    dim = 2
    xmin = -0.35
    xmax = -0.05
    ymin = -1
    ymax = 0
    nx = 1
    ny = 3
    elem_type = QUAD4
  []
  [left_block_sidesets]
    type = RenameBoundaryGenerator
    input = left_block
    old_boundary = '0 1 2 3'
    new_boundary = '10 11 12 13'
  []
  [left_block_sideset_names]
    type = RenameBoundaryGenerator
    input = left_block_sidesets
    old_boundary = '10 11 12 13'
    new_boundary = 'l_bottom l_right l_top l_left'
  []
  [left_block_id]
    type = SubdomainIDGenerator
    input = left_block_sideset_names
    subdomain_id = 1
  []
  [right_block]
    type = GeneratedMeshGenerator
    dim = 2
    xmin = 0
    xmax = 0.3
    ymin = -1
    ymax = 0
    nx = 1
    ny = 2
    elem_type = QUAD4
  []
  [right_block_sidesets]
    type = RenameBoundaryGenerator
    input = right_block
    old_boundary = '0 1 2 3'
    new_boundary = '20 21 22 23'
  []
  [right_block_sideset_names]
    type = RenameBoundaryGenerator
    input = right_block_sidesets
    old_boundary = '20 21 22 23'
    new_boundary = 'r_bottom r_right r_top r_left'
  []
  [right_block_id]
    type = SubdomainIDGenerator
    input = right_block_sideset_names
    subdomain_id = 2
  []

  [combined_mesh]
    type = MeshCollectionGenerator
    inputs = 'left_block_id right_block_id'
  []

  [left_lower]
    type = LowerDBlockFromSidesetGenerator
    input = combined_mesh
    sidesets = '11'
    new_block_id = '10001'
    new_block_name = 'secondary_lower'
  []
  [right_lower]
    type = LowerDBlockFromSidesetGenerator
    input = left_lower
    sidesets = '23'
    new_block_id = '10000'
    new_block_name = 'primary_lower'
  []

  uniform_refine = 1
[]

[Variables]
  [lm_x]
    block = 'secondary_lower'
    use_dual = true
  []
  [lm_y]
    block = 'secondary_lower'
    use_dual = true
  []
[]

[AuxVariables]
  [normal_lm]
    family = LAGRANGE
    order = FIRST
  []
  [tangent_lm]
    family = LAGRANGE
    order = FIRST
  []
[]

[AuxKernels]
  [tangent_lm]
    type = MortarPressureComponentAux
    variable = tangent_lm
    primary_boundary = '23'
    secondary_boundary = '11'
    lm_var_x = lm_x
    lm_var_y = lm_y
    component = 'TANGENT1'
    boundary = '11'
  []
[]

[Physics/SolidMechanics/QuasiStatic]
  [all]
    strain = FINITE
    incremental = true
    add_variables = true
    block = '1 2'
  []
[]

[Functions]
  [horizontal_movement]
    type = ParsedFunction
    expression = '0.1 * t'
  []
  [vertical_movement]
    type = ParsedFunction
    expression = '0.0'
  []
[]

[BCs]
  [push_left_x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 13
    function = horizontal_movement
  []
  [fix_right_x]
    type = DirichletBC
    variable = disp_x
    boundary = 21
    value = 0.0
  []
  [fix_right_y]
    type = DirichletBC
    variable = disp_y
    boundary = 21
    value = 0.0
  []
  [push_left_y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 13
    function = vertical_movement
  []
[]

[Materials]
  [elasticity_tensor_left]
    type = ComputeIsotropicElasticityTensor
    block = 1
    youngs_modulus = 1.0e4
    poissons_ratio = 0.3
  []
  [stress_left]
    type = ComputeFiniteStrainElasticStress
    block = 1
  []

  [elasticity_tensor_right]
    type = ComputeIsotropicElasticityTensor
    block = 2
    youngs_modulus = 1.0e8
    poissons_ratio = 0.3
  []
  [stress_right]
    type = ComputeFiniteStrainElasticStress
    block = 2
  []
[]

[Constraints]
  [weighted_gap_lm]
    type = ComputeFrictionalForceCartesianLMMechanicalContact # ComputeCartesianLMFrictionMechanicalContact
    # type = ComputeWeightedGapLMMechanicalContact
    primary_boundary = '23'
    secondary_boundary = '11'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    lm_x = lm_x
    lm_y = lm_y
    variable = lm_x # This can be anything really
    disp_x = disp_x
    disp_y = disp_y
    use_displaced_mesh = true
    correct_edge_dropping = true
    mu = 1.0
    c_t = 1.0e5
  []
  [normal_x]
    type = CartesianMortarMechanicalContact
    primary_boundary = '23'
    secondary_boundary = '11'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    variable = lm_x
    secondary_variable = disp_x
    component = x
    use_displaced_mesh = true
    compute_lm_residuals = false
    correct_edge_dropping = true
  []
  [normal_y]
    type = CartesianMortarMechanicalContact
    primary_boundary = '23'
    secondary_boundary = '11'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    variable = lm_y
    secondary_variable = disp_y
    component = y
    use_displaced_mesh = true
    compute_lm_residuals = false
    correct_edge_dropping = true
  []
[]

[Preconditioning]
  [smp]
    type = SMP
    full = true
  []
[]

[Executioner]
  type = Transient
  solve_type = 'NEWTON'

  petsc_options = '-snes_converged_reason -ksp_converged_reason -snes_view'

  petsc_options_iname = '-pc_type -pc_factor_mat_solver_package -mat_mffd_err -pc_factor_shift_type '
                        '-pc_factor_shift_amount'
  petsc_options_value = 'lu superlu_dist 1e-8          NONZERO               1e-15'

  line_search = none

  dt = 0.1
  dtmin = 0.1
  end_time = 1.0
  l_max_its = 100

  nl_max_its = 20
  nl_rel_tol = 1e-8
  snesmf_reuse_base = false
[]

[Outputs]
  exodus = false
  csv = true
  execute_on = 'FINAL'
[]

[VectorPostprocessors]
  [tangent_lm]
    type = NodalValueSampler
    block = 'secondary_lower'
    variable = tangent_lm
    sort_by = 'id'
  []
[]

(modules/solid_mechanics/test/tests/1D_axisymmetric/axisymm_plane_strain_finite.i)

#
# This test checks elastic stress calculations with mechanical and thermal
# strain using finite strain formulation. Young's modulus is 3600, and Poisson's ratio is 0.2.
# The axisymmetric, plane strain 1D mesh is pulled with displacement of 2e-3.
# Thus, the strain is [log(1+1e-3)=9.995e-4, 0, log(1+1e-3)=9.995e-4] (xx, yy, zz). This gives stress of
# [4.9975, 1.999, 4.9975].  After a temperature increase of 100 with alpha of
# 1e-6, the stress becomes [4.3975, 1.399, 4.3975].
#

[GlobalParams]
  displacements = disp_x
[]

[Problem]
  coord_type = RZ
[]

[Mesh]
  file = line.e
[]

[Variables]
  [./disp_x]
  [../]
[]

[AuxVariables]
  [./temp]
    initial_condition = 580.0
  [../]
[]

[Functions]
  [./temp]
    type = PiecewiseLinear
    x = '0   1   2'
    y = '580 580 680'
  [../]
  [./disp_x]
    type = PiecewiseLinear
    x = '0 1'
    y = '0 2e-3'
  [../]
[]

[Physics]
  [SolidMechanics]
    [QuasiStatic]
      [./ps]
        planar_formulation = PLANE_STRAIN
        strain = FINITE
        generate_output = 'strain_xx strain_zz stress_xx stress_yy stress_zz'
        eigenstrain_names = eigenstrain
      [../]
    [../]
  [../]
[]

[AuxKernels]
  [./temp]
    type = FunctionAux
    variable = temp
    function = temp
    execute_on = 'timestep_begin'
  [../]
[]

[BCs]
  [./no_x]
    type = DirichletBC
    boundary = 1
    value = 0
    variable = disp_x
  [../]
  [./disp_x]
    type = FunctionDirichletBC
    boundary = 2
    function = disp_x
    variable = disp_x
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeIsotropicElasticityTensor
    youngs_modulus = 3600
    poissons_ratio = 0.2
  [../]

  [./thermal_strain]
    type = ComputeThermalExpansionEigenstrain
    thermal_expansion_coeff = 1e-6
    temperature = temp
    stress_free_temperature = 580
    eigenstrain_name = eigenstrain
  [../]

  [./stress]
    type = ComputeFiniteStrainElasticStress
  [../]
[]

[Executioner]
  type = Transient
  solve_type = 'PJFNK'
  line_search = 'none'

  l_max_its = 50
  l_tol = 1e-6
  nl_max_its = 15
  nl_rel_tol = 1e-8
  nl_abs_tol = 1e-10
  start_time = 0
  end_time = 2
  num_steps = 2
[]

[Outputs]
  exodus = true
  console = true
[]

(modules/combined/test/tests/phase_field_fracture/crack2d_linear_fracture_energy.i)

#This input uses PhaseField-Nonconserved Action to add phase field fracture bulk rate kernels
[Mesh]
  [gen]
    type = GeneratedMeshGenerator
    dim = 2
    nx = 20
    ny = 10
    ymax = 0.5
  []
  [./noncrack]
    type = BoundingBoxNodeSetGenerator
    new_boundary = noncrack
    bottom_left = '0.5 0 0'
    top_right = '1 0 0'
    input = gen
  [../]
[]

[GlobalParams]
  displacements = 'disp_x disp_y'
[]

[Modules]
  [./PhaseField]
    [./Nonconserved]
      [./c]
        free_energy = F
        kappa = kappa_op
        mobility = L
      [../]
    [../]
  [../]
[]
[Physics]
  [./SolidMechanics]
    [./QuasiStatic]
      [./mech]
        add_variables = true
        strain = SMALL
        additional_generate_output = 'stress_yy'
        save_in = 'resid_x resid_y'
      [../]
    [../]
  [../]
[]

[AuxVariables]
  [./resid_x]
  [../]
  [./resid_y]
  [../]
[]

[Kernels]
  [./solid_x]
    type = PhaseFieldFractureMechanicsOffDiag
    variable = disp_x
    component = 0
    c = c
  [../]
  [./solid_y]
    type = PhaseFieldFractureMechanicsOffDiag
    variable = disp_y
    component = 1
    c = c
  [../]
[]

[BCs]
  [./ydisp]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = top
    function = 't'
  [../]
  [./yfix]
    type = DirichletBC
    variable = disp_y
    boundary = noncrack
    value = 0
  [../]
  [./xfix]
    type = DirichletBC
    variable = disp_x
    boundary = top
    value = 0
  [../]
[]

[Materials]
  [./pfbulkmat]
    type = GenericConstantMaterial
    prop_names = 'gc_prop l visco'
    prop_values = '1e-3 0.04 1e-4'
  [../]
  [./define_mobility]
    type = ParsedMaterial
    material_property_names = 'gc_prop visco'
    property_name = L
    expression = '1.0/(gc_prop * visco)'
  [../]
  [./define_kappa]
    type = ParsedMaterial
    material_property_names = 'gc_prop l'
    property_name = kappa_op
    expression = 'gc_prop * l * 3 / 4'
  [../]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    C_ijkl = '120.0 80.0'
    fill_method = symmetric_isotropic
  [../]
  [./elastic]
    type = ComputeLinearElasticPFFractureStress
    c = c
    E_name = 'elastic_energy'
    D_name = 'degradation'
    F_name = 'fracture_energy'
    barrier_energy = 'barrier'
    decomposition_type = strain_spectral
  [../]
  [./degradation]
    type = DerivativeParsedMaterial
    property_name = degradation
    coupled_variables = 'c'
    expression = '(1.0-c)^2*(1.0 - eta) + eta'
    constant_names       = 'eta'
    constant_expressions = '0.0'
    derivative_order = 2
  [../]
  [./fracture_energy]
    type = DerivativeParsedMaterial
    property_name = fracture_energy
    coupled_variables = 'c'
    material_property_names = 'gc_prop l'
    expression = '3 * gc_prop / (8 * l) * c'
    derivative_order = 2
  [../]
  [./fracture_driving_energy]
    type = DerivativeSumMaterial
    coupled_variables = c
    sum_materials = 'elastic_energy fracture_energy'
    derivative_order = 2
    property_name = F
  [../]
  [./barrier_energy]
    type = ParsedMaterial
    property_name = barrier
    material_property_names = 'gc_prop l'
    expression = '3 * gc_prop / 16 / l'
  [../]
[]

[Postprocessors]
  [./resid_x]
    type = NodalSum
    variable = resid_x
    boundary = 2
  [../]
  [./resid_y]
    type = NodalSum
    variable = resid_y
    boundary = 2
  [../]
[]

[Preconditioning]
  [./smp]
    type = SMP
    full = true
  [../]
[]

[Executioner]
  type = Transient

  solve_type = PJFNK
  petsc_options_iname = '-pc_type -ksp_gmres_restart -sub_ksp_type -sub_pc_type -pc_asm_overlap'
  petsc_options_value = 'asm      31                  preonly       lu           1'

  nl_rel_tol = 1e-8
  l_max_its = 10
  nl_max_its = 20

  dt = 1e-4
  dtmin = 1e-4
  num_steps = 2
[]

[Outputs]
  exodus = true
[]

(tutorials/darcy_thermo_mech/step06_coupled_darcy_heat_conduction/problems/step6b_transient_inflow.i)

[Mesh]
  [gmg]
    type = GeneratedMeshGenerator
    dim = 2
    nx = 200
    ny = 10
    xmax = 0.304 # Length of test chamber
    ymax = 0.0257 # Test chamber radius
  []
  coord_type = RZ
  rz_coord_axis = X
[]

[Variables]
  [pressure]
  []
  [temperature]
    initial_condition = 300 # Start at room temperature
  []
[]

[Kernels]
  [darcy_pressure]
    type = DarcyPressure
    variable = pressure
  []
  [heat_conduction]
    type = ADHeatConduction
    variable = temperature
  []
  [heat_conduction_time_derivative]
    type = ADHeatConductionTimeDerivative
    variable = temperature
  []
  [heat_convection]
    type = DarcyAdvection
    variable = temperature
    pressure = pressure
  []
[]

[BCs]
  [inlet_temperature]
    type = FunctionDirichletBC
    variable = temperature
    boundary = left
    function = 'if(t<0,350+50*t,350)'
  []
  [outlet_temperature]
    type = HeatConductionOutflow
    variable = temperature
    boundary = right
  []
  [inlet]
    type = FunctionDirichletBC
    variable = pressure
    boundary = left
    function = 2000*sin(0.466*pi*t) # Inlet signal from Fig. 3
  []
  [outlet]
    type = FunctionDirichletBC
    variable = pressure
    boundary = right
    function = 2000*cos(0.466*pi*t) # Outlet signal from Fig. 3
  []
[]

[Materials/column]
  type = PackedColumn
  radius = 1
  temperature = temperature
  fluid_viscosity_file = data/water_viscosity.csv
  fluid_density_file = data/water_density.csv
  fluid_thermal_conductivity_file = data/water_thermal_conductivity.csv
  fluid_specific_heat_file = data/water_specific_heat.csv
  outputs = exodus
[]

[AuxVariables/velocity]
  order = CONSTANT
  family = MONOMIAL_VEC
[]

[AuxKernels/velocity]
  type = DarcyVelocity
  variable = velocity
  execute_on = timestep_end
  pressure = pressure
[]

[Problem]
  type = FEProblem
[]

[Executioner]
  type = Transient
  end_time = 100
  dt = 0.25
  start_time = -1

  solve_type = NEWTON
  petsc_options_iname = '-pc_type -pc_hypre_type'
  petsc_options_value = 'hypre boomeramg'

  automatic_scaling = true
  steady_state_tolerance = 1e-5
  steady_state_detection = true

  [TimeStepper]
    type = FunctionDT
    function = 'if(t<0,0.1,(2*pi/(0.466*pi))/16)' # dt to always hit the peaks of sine/cosine BC
  []
[]

[Outputs]
  exodus = true
[]

(modules/porous_flow/examples/tidal/earth_tide_fullsat.i)

# A confined aquifer is fully saturated with water
# Earth tides apply strain to the aquifer and the resulting porepressure changes are recorded
#
# To replicate standard poroelasticity exactly:
# (1) the PorousFlowBasicTHM Action is used;
# (2) multiply_by_density = false;
# (3) PorousFlowConstantBiotModulus is used
[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = 0
  xmax = 1
  ymin = 0
  ymax = 1
  zmin = 0
  zmax = 1
[]

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
  PorousFlowDictator = dictator
  block = 0
  biot_coefficient = 0.6
  multiply_by_density = false
[]

[Variables]
  [disp_x]
  []
  [disp_y]
  []
  [disp_z]
  []
  [porepressure]
  []
[]

[BCs]
  [strain_x]
    type = FunctionDirichletBC
    variable = disp_x
    function = earth_tide_x
    boundary = 'left right'
  []
  [strain_y]
    type = FunctionDirichletBC
    variable = disp_y
    function = earth_tide_y
    boundary = 'bottom top'
  []
  [strain_z]
    type = FunctionDirichletBC
    variable = disp_z
    function = earth_tide_z
    boundary = 'back front'
  []
[]

[Functions]
  [earth_tide_x]
    type = ParsedFunction
    expression = 'x*1E-8*(5*cos(t*2*pi) + 2*cos((t-0.5)*2*pi) + 1*cos((t+0.3)*0.5*pi))'
  []
  [earth_tide_y]
    type = ParsedFunction
    expression = 'y*1E-8*(7*cos(t*2*pi) + 4*cos((t-0.3)*2*pi) + 7*cos((t+0.6)*0.5*pi))'
  []
  [earth_tide_z]
    type = ParsedFunction
    expression = 'z*1E-8*(7*cos((t-0.5)*2*pi) + 4*cos((t-0.8)*2*pi) + 7*cos((t+0.1)*4*pi))'
  []
[]

[FluidProperties]
  [the_simple_fluid]
    type = SimpleFluidProperties
    bulk_modulus = 2E9
  []
[]

[PorousFlowBasicTHM]
  coupling_type = HydroMechanical
  displacements = 'disp_x disp_y disp_z'
  porepressure = porepressure
  gravity = '0 0 0'
  fp = the_simple_fluid
[]

[Materials]
  [elasticity_tensor]
    type = ComputeIsotropicElasticityTensor
    bulk_modulus = 10.0E9 # drained bulk modulus
    poissons_ratio = 0.25
  []
  [strain]
    type = ComputeSmallStrain
  []
  [stress]
    type = ComputeLinearElasticStress
  []
  [porosity]
    type = PorousFlowPorosityConst # only the initial value of this is ever used
    porosity = 0.1
  []
  [biot_modulus]
    type = PorousFlowConstantBiotModulus
    solid_bulk_compliance = 1E-10
    fluid_bulk_modulus = 2E9
  []
  [permeability]
    type = PorousFlowPermeabilityConst
    permeability = '1E-12 0 0   0 1E-12 0   0 0 1E-12'
  []
[]

[Postprocessors]
  [pp]
    type = PointValue
    point = '0.5 0.5 0.5'
    variable = porepressure
  []
[]


[Preconditioning]
  [smp]
    type = SMP
    full = true
  []
[]

[Executioner]
  type = Transient
  solve_type = Newton
  dt = 0.01
  end_time = 2
[]

[Outputs]
  console = true
  csv = true
[]

(modules/combined/test/tests/poro_mechanics/undrained_oedometer.i)

# An undrained oedometer test on a saturated poroelastic sample.
#
# The sample is a single unit element, with roller BCs on the sides
# and bottom.  A constant displacement is applied to the top: disp_z = -0.01*t.
# There is no fluid flow.
#
# Under these conditions
# porepressure = -(Biot coefficient)*(Biot modulus)*disp_z/L
# stress_xx = (bulk - 2*shear/3)*disp_z/L (remember this is effective stress)
# stress_zz = (bulk + 4*shear/3)*disp_z/L (remember this is effective stress)
# where L is the height of the sample (L=1 in this test)
#
# Parameters:
# Biot coefficient = 0.3
# Porosity = 0.1
# Bulk modulus = 2
# Shear modulus = 1.5
# fluid bulk modulus = 1/0.3 = 3.333333
# 1/Biot modulus = (1 - 0.3)*(0.3 - 0.1)/2 + 0.1*0.3 = 0.1. BiotModulus = 10
#
# Desired output:
# zdisp = -0.01*t
# p0 = 0.03*t
# stress_xx = stress_yy = -0.01*t
# stress_zz = -0.04*t

[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
  porepressure = porepressure
  block = 0
[]

[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
  [./porepressure]
  [../]
[]

[BCs]
  [./confinex]
    type = DirichletBC
    variable = disp_x
    value = 0
    boundary = 'left right'
  [../]
  [./confiney]
    type = DirichletBC
    variable = disp_y
    value = 0
    boundary = 'bottom top'
  [../]
  [./basefixed]
    type = DirichletBC
    variable = disp_z
    value = 0
    boundary = back
  [../]
  [./top_velocity]
    type = FunctionDirichletBC
    variable = disp_z
    function = -0.01*t
    boundary = front
  [../]
[]


[Kernels]
  [./grad_stress_x]
    type = StressDivergenceTensors
    variable = disp_x
    component = 0
  [../]
  [./grad_stress_y]
    type = StressDivergenceTensors
    variable = disp_y
    component = 1
  [../]
  [./grad_stress_z]
    type = StressDivergenceTensors
    variable = disp_z
    component = 2
  [../]
  [./poro_x]
    type = PoroMechanicsCoupling
    variable = disp_x
    component = 0
  [../]
  [./poro_y]
    type = PoroMechanicsCoupling
    variable = disp_y
    component = 1
  [../]
  [./poro_z]
    type = PoroMechanicsCoupling
    variable = disp_z
    component = 2
  [../]
  [./poro_timederiv]
    type = PoroFullSatTimeDerivative
    variable = porepressure
  [../]
[]

[AuxVariables]
  [./stress_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]

[AuxKernels]
  [./stress_xx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xx
    index_i = 0
    index_j = 0
  [../]
  [./stress_xy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xy
    index_i = 0
    index_j = 1
  [../]
  [./stress_xz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xz
    index_i = 0
    index_j = 2
  [../]
  [./stress_yy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yy
    index_i = 1
    index_j = 1
  [../]
  [./stress_yz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yz
    index_i = 1
    index_j = 2
  [../]
  [./stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zz
    index_i = 2
    index_j = 2
  [../]
[]



[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    C_ijkl = '1 1.5'
    # bulk modulus is lambda + 2*mu/3 = 1 + 2*1.5/3 = 2
    fill_method = symmetric_isotropic
  [../]
  [./strain]
    type = ComputeSmallStrain
    displacements = 'disp_x disp_y disp_z'
  [../]
  [./stress]
    type = ComputeLinearElasticStress
  [../]
  [./poro_material]
    type = PoroFullSatMaterial
    porosity0 = 0.1
    biot_coefficient = 0.3
    solid_bulk_compliance = 0.5
    fluid_bulk_compliance = 0.3
    constant_porosity = true
  [../]
[]

[Postprocessors]
  [./p0]
    type = PointValue
    outputs = csv
    point = '0 0 0'
    variable = porepressure
  [../]
  [./zdisp]
    type = PointValue
    outputs = csv
    point = '0 0 0.5'
    variable = disp_z
  [../]
  [./stress_xx]
    type = PointValue
    outputs = csv
    point = '0 0 0'
    variable = stress_xx
  [../]
  [./stress_yy]
    type = PointValue
    outputs = csv
    point = '0 0 0'
    variable = stress_yy
  [../]
  [./stress_zz]
    type = PointValue
    outputs = csv
    point = '0 0 0'
    variable = stress_zz
  [../]

[]


[Preconditioning]
  [./andy]
    type = SMP
    full = true
    petsc_options_iname = '-ksp_type -pc_type -snes_atol -snes_rtol -snes_max_it'
    petsc_options_value = 'bcgs bjacobi 1E-14 1E-10 10000'
  [../]
[]

[Executioner]
  type = Transient
  solve_type = Newton
  start_time = 0
  end_time = 10
  dt = 1
[]

[Outputs]
  execute_on = 'timestep_end'
  file_base = undrained_oedometer
  [./csv]
    type = CSV
  [../]
[]

(modules/xfem/test/tests/mechanical_constraint/glued_penalty.i)

[GlobalParams]
  displacements = 'disp_x disp_y'
  volumetric_locking_correction = false
[]

[XFEM]
  geometric_cut_userobjects = 'line_seg_cut_uo'
  qrule = volfrac
  output_cut_plane = true
[]

[Mesh]
  type = GeneratedMesh
  dim = 2
  nx = 11
  ny = 11
  xmin = 0.0
  xmax = 1.0
  ymin = 0.0
  ymax = 1.0
  elem_type = QUAD4
[]

[UserObjects]
  [./line_seg_cut_uo]
    type = LineSegmentCutUserObject
    cut_data = '1.0  0.5  0.0  0.5'
    time_start_cut = 0.0
    time_end_cut = 0.0
  [../]
[]

[Physics/SolidMechanics/QuasiStatic]
  [./all]
    strain = FINITE
    planar_formulation = plane_strain
    add_variables = true
  [../]
[]

[Functions]
  [./pull]
    type = PiecewiseLinear
    x='0  50   100'
    y='0  0.02 0.1'
  [../]
[]

[BCs]
  [./bottomx]
    type = DirichletBC
    boundary = bottom
    variable = disp_x
    value = 0.0
  [../]
  [./bottomy]
    type = DirichletBC
    boundary = bottom
    variable = disp_y
    value = 0.0
  [../]
  [./topx]
    type = DirichletBC
    boundary = top
    variable = disp_x
    value = 0.0
  [../]
  [./topy]
    type = FunctionDirichletBC
    boundary = top
    variable = disp_y
    function = pull
  [../]
[]

[Constraints]
  [./disp_x]
    type = XFEMSingleVariableConstraint
    variable = disp_x
    use_penalty = true
    alpha = 1.0e8
    use_displaced_mesh = true
    geometric_cut_userobject = 'line_seg_cut_uo'
  [../]
  [./disp_y]
    type = XFEMSingleVariableConstraint
    variable = disp_y
    use_penalty = true
    alpha = 1.0e8
    use_displaced_mesh = true
    geometric_cut_userobject = 'line_seg_cut_uo'
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeIsotropicElasticityTensor
    youngs_modulus = 1e6
    poissons_ratio = 0.3
    block = 0
  [../]

  [./_elastic_strain]
    type = ComputeFiniteStrainElasticStress
    block = 0
  [../]
[]

[Executioner]
  type = Transient

  solve_type = 'PJFNK'
  petsc_options_iname = '-ksp_gmres_restart -pc_type -pc_hypre_type -pc_hypre_boomeramg_max_iter'
  petsc_options_value = '201                hypre    boomeramg      8'

  line_search = 'none'

  [./Predictor]
    type = SimplePredictor
    scale = 1.0
  [../]

# controls for linear iterations
  l_max_its = 100
  l_tol = 1e-2

# controls for nonlinear iterations
  nl_max_its = 15
  nl_rel_tol = 1e-14
  nl_abs_tol = 1e-9

# time control
  start_time = 0.0
  dt = 1.0
  end_time = 2.0
  num_steps = 5000

  max_xfem_update = 1
[]

[Outputs]
  exodus = true
  execute_on = timestep_end
  [./console]
    type = Console
    output_linear = true
  [../]
[]

(modules/solid_mechanics/test/tests/multi/three_surface04.i)

# Plasticit models:
# SimpleTester0 with a = 0 and b = 1 and strength = 1
# SimpleTester1 with a = 1 and b = 0 and strength = 1
# SimpleTester2 with a = 1 and b = 1 and strength = 1.5
#
# Lame lambda = 0 (Poisson=0).  Lame mu = 0.5E6
#
# A single element is stretched by 0.8E-6m in y direction and 1.5E-6 in z direction.
# trial stress_yy = 0.8 and stress_zz = 1.5
#
# Then SimpleTester0 and SimpleTester2 should activate and the algorithm will return to
# the corner stress_yy=0.5, stress_zz=1
# internal0 should be 0.2, and internal2 should be 0.3

[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]


[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
[]

[Kernels]
  [SolidMechanics]
    displacements = 'disp_x disp_y disp_z'
  [../]
[]


[BCs]
  [./x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'front back'
    function = '0E-6*x'
  [../]
  [./y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'front back'
    function = '0.8E-6*y'
  [../]
  [./z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'front back'
    function = '1.5E-6*z'
  [../]
[]

[AuxVariables]
  [./stress_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f0]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f1]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f2]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./int0]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./int1]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./int2]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]

[AuxKernels]
  [./stress_xx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xx
    index_i = 0
    index_j = 0
  [../]
  [./stress_xy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xy
    index_i = 0
    index_j = 1
  [../]
  [./stress_xz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xz
    index_i = 0
    index_j = 2
  [../]
  [./stress_yy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yy
    index_i = 1
    index_j = 1
  [../]
  [./stress_yz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yz
    index_i = 1
    index_j = 2
  [../]
  [./stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zz
    index_i = 2
    index_j = 2
  [../]
  [./f0]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 0
    variable = f0
  [../]
  [./f1]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 1
    variable = f1
  [../]
  [./f2]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 2
    variable = f2
  [../]
  [./int0]
    type = MaterialStdVectorAux
    property = plastic_internal_parameter
    factor = 1E6
    index = 0
    variable = int0
  [../]
  [./int1]
    type = MaterialStdVectorAux
    property = plastic_internal_parameter
    factor = 1E6
    index = 1
    variable = int1
  [../]
  [./int2]
    type = MaterialStdVectorAux
    property = plastic_internal_parameter
    factor = 1E6
    index = 2
    variable = int2
  [../]
[]

[Postprocessors]
  [./s_xx]
    type = PointValue
    point = '0 0 0'
    variable = stress_xx
  [../]
  [./s_xy]
    type = PointValue
    point = '0 0 0'
    variable = stress_xy
  [../]
  [./s_xz]
    type = PointValue
    point = '0 0 0'
    variable = stress_xz
  [../]
  [./s_yy]
    type = PointValue
    point = '0 0 0'
    variable = stress_yy
  [../]
  [./s_yz]
    type = PointValue
    point = '0 0 0'
    variable = stress_yz
  [../]
  [./s_zz]
    type = PointValue
    point = '0 0 0'
    variable = stress_zz
  [../]
  [./f0]
    type = PointValue
    point = '0 0 0'
    variable = f0
  [../]
  [./f1]
    type = PointValue
    point = '0 0 0'
    variable = f1
  [../]
  [./f2]
    type = PointValue
    point = '0 0 0'
    variable = f2
  [../]
  [./int0]
    type = PointValue
    point = '0 0 0'
    variable = int0
  [../]
  [./int1]
    type = PointValue
    point = '0 0 0'
    variable = int1
  [../]
  [./int2]
    type = PointValue
    point = '0 0 0'
    variable = int2
  [../]
[]

[UserObjects]
  [./simple0]
    type = SolidMechanicsPlasticSimpleTester
    a = 0
    b = 1
    strength = 1
    yield_function_tolerance = 1.0E-9
    internal_constraint_tolerance = 1.0E-9
  [../]
  [./simple1]
    type = SolidMechanicsPlasticSimpleTester
    a = 1
    b = 0
    strength = 1
    yield_function_tolerance = 1.0E-9
    internal_constraint_tolerance = 1.0E-9
  [../]
  [./simple2]
    type = SolidMechanicsPlasticSimpleTester
    a = 1
    b = 1
    strength = 1.5
    yield_function_tolerance = 1.0E-9
    internal_constraint_tolerance = 1.0E-9
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    block = 0
    fill_method = symmetric_isotropic
    C_ijkl = '0 0.5E6'
  [../]
  [./strain]
    type = ComputeFiniteStrain
    block = 0
    displacements = 'disp_x disp_y disp_z'
  [../]
  [./multi]
    type = ComputeMultiPlasticityStress
    block = 0
    ep_plastic_tolerance = 1E-9
    plastic_models = 'simple0 simple1 simple2'
    max_NR_iterations = 2
    min_stepsize = 1
    debug_fspb = crash
    debug_jac_at_stress = '10 0 0 0 10 0 0 0 10'
    debug_jac_at_pm = '1 1'
    debug_jac_at_intnl = '1 1'
    debug_stress_change = 1E-5
    debug_pm_change = '1E-6 1E-6'
    debug_intnl_change = '1E-6 1E-6'
  [../]
[]


[Executioner]
  end_time = 1
  dt = 1
  type = Transient
[]


[Outputs]
  file_base = three_surface04
  exodus = false
  [./csv]
    type = CSV
    [../]
[]

(modules/solid_mechanics/test/tests/lagrangian/cartesian/updated/convergence/3D/dirichlet.i)

# Simple 3D test

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
  large_kinematics = true
[]

[Variables]
  [disp_x]
  []
  [disp_y]
  []
  [disp_z]
  []
[]

[Mesh]
  [msh]
    type = GeneratedMeshGenerator
    dim = 3
    nx = 4
    ny = 4
    nz = 4
  []
[]

[Kernels]
  [sdx]
    type = UpdatedLagrangianStressDivergence
    variable = disp_x
    component = 0
    use_displaced_mesh = true
  []
  [sdy]
    type = UpdatedLagrangianStressDivergence
    variable = disp_y
    component = 1
    use_displaced_mesh = true
  []
  [sdz]
    type = UpdatedLagrangianStressDivergence
    variable = disp_z
    component = 2
    use_displaced_mesh = true
  []
[]

[Functions]
  [pullx]
    type = ParsedFunction
    expression = '0.4 * t'
  []
  [pully]
    type = ParsedFunction
    expression = '-0.2 * t'
  []
  [pullz]
    type = ParsedFunction
    expression = '0.3 * t'
  []
[]

[BCs]
  [leftx]
    type = DirichletBC
    preset = true
    boundary = left
    variable = disp_x
    value = 0.0
  []
  [lefty]
    type = DirichletBC
    preset = true
    boundary = left
    variable = disp_y
    value = 0.0
  []
  [leftz]
    type = DirichletBC
    preset = true
    boundary = left
    variable = disp_z
    value = 0.0
  []
  [pull_x]
    type = FunctionDirichletBC
    boundary = right
    variable = disp_x
    function = pullx
    preset = true
  []
  [pull_y]
    type = FunctionDirichletBC
    boundary = top
    variable = disp_y
    function = pully
    preset = true
  []
  [pull_z]
    type = FunctionDirichletBC
    boundary = right
    variable = disp_z
    function = pullz
    preset = true
  []
[]

[Materials]
  [elastic_tensor]
    type = ComputeIsotropicElasticityTensor
    youngs_modulus = 100000.0
    poissons_ratio = 0.3
  []
  [compute_stress]
    type = ComputeLagrangianLinearElasticStress
  []
  [compute_strain]
    type = ComputeLagrangianStrain
  []
[]

[Preconditioning]
  [smp]
    type = SMP
    full = true
  []
[]

[Executioner]
  type = Transient

  solve_type = 'newton'
  line_search = none

  petsc_options_iname = '-pc_type'
  petsc_options_value = 'lu'

  l_max_its = 2
  l_tol = 1e-14
  nl_max_its = 15
  nl_rel_tol = 1e-8
  nl_abs_tol = 1e-10

  start_time = 0.0
  dt = 0.2
  dtmin = 0.2
  end_time = 1.0
[]

[Postprocessors]
  [nonlin]
    type = NumNonlinearIterations
  []
[]

[Outputs]
  exodus = false
  csv = true
[]

(test/tests/restart/restart_subapp_not_parent/complete_solve_no_subapp.i)

[Mesh]
  type = GeneratedMesh
  dim = 2
  xmin = -1
  xmax =  1
  ymin = -1
  ymax =  1
  nx = 2
  ny = 2
  elem_type = QUAD9
[]

[Functions]
  [./exact_fn]
    type = ParsedFunction
    expression = t*t*(x*x+y*y)
  [../]

  [./forcing_fn]
    type = ParsedFunction
    expression = 2*t*(x*x+y*y)-4*t*t
  [../]
[]

[Variables]
  [./u]
    family = LAGRANGE
    order = SECOND
  [../]
[]

[ICs]
  [./u_var]
    type = FunctionIC
    variable = u
    function = exact_fn
  [../]
[]

[Kernels]
  [./td]
    type = TimeDerivative
    variable = u
  [../]

  [./diff]
    type = Diffusion
    variable = u
  [../]

  [./ffn]
    type = BodyForce
    variable = u
    function = forcing_fn
  [../]
[]

[BCs]
  [./all]
    type = FunctionDirichletBC
    variable = u
    boundary = 'left right top bottom'
    function = exact_fn
  [../]
[]

[Postprocessors]
  [./average]
    type = ElementAverageValue
    variable = u
  [../]
[]

[Executioner]
  type = Transient
  start_time = 0.0
  end_time = 4.0
  dt = 1.0
[]

[Outputs]
  file_base = complete_solve_no_subapp
  exodus = true
[]

(modules/solid_mechanics/test/tests/tensile/small_deform3_update_version.i)

# Using TensileStressUpdate
# checking for small deformation
# A single element is stretched by "ep" in the z and x directions
# This causes the return direction to be along the hypersurface sigma_I = sigma_II
# where sigma_I = (E_2222 + E_2200) * ep
# tensile_strength is set to 1Pa, smoothing_tol = 0.1Pa
# The smoothed yield function is
# yf = sigma_I + ismoother(0) - tensile_strength
#    = sigma_I + (0.5 * smoothing_tol - smoothing_tol / Pi) - tensile_strength
#    = sigma_I - 0.98183
#
# With zero Poisson's ratio, the return stress will be
# stress_00 = stress_22 = 0.98183
# with all other stress components being zero

[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]

[Physics/SolidMechanics/QuasiStatic]
  [./all]
    add_variables = true
    incremental = true
    strain = finite
    generate_output = 'max_principal_stress mid_principal_stress min_principal_stress stress_xx stress_xy stress_xz stress_yy stress_yz stress_zz'
  [../]
[]

[BCs]
  [./x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'front back'
    function = '0.25E-6*x'
  [../]
  [./y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'front back'
    function = '0'
  [../]
  [./z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'front back'
    function = '0.25E-6*z'
  [../]
[]

[AuxVariables]
  [./yield_fcn]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]

[AuxKernels]
  [./yield_fcn_auxk]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 0
    variable = yield_fcn
  [../]
[]

[Postprocessors]
  [./s_xx]
    type = PointValue
    point = '0 0 0'
    variable = stress_xx
  [../]
  [./s_xy]
    type = PointValue
    point = '0 0 0'
    variable = stress_xy
  [../]
  [./s_xz]
    type = PointValue
    point = '0 0 0'
    variable = stress_xz
  [../]
  [./s_yy]
    type = PointValue
    point = '0 0 0'
    variable = stress_yy
  [../]
  [./s_yz]
    type = PointValue
    point = '0 0 0'
    variable = stress_yz
  [../]
  [./s_zz]
    type = PointValue
    point = '0 0 0'
    variable = stress_zz
  [../]
  [./f]
    type = PointValue
    point = '0 0 0'
    variable = yield_fcn
  [../]
[]

[UserObjects]
  [./ts]
    type = SolidMechanicsHardeningConstant
    value = 1
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    block = 0
    fill_method = symmetric_isotropic
    C_ijkl = '0 2.0E6'
  [../]
  [./tensile]
    type = TensileStressUpdate
    tensile_strength = ts
    smoothing_tol = 0.1
    yield_function_tol = 1.0E-9
  [../]
  [./stress]
    type = ComputeMultipleInelasticStress
    inelastic_models = tensile
    perform_finite_strain_rotations = false
  [../]
[]


[Executioner]
  end_time = 1
  dt = 1
  type = Transient
[]


[Outputs]
  file_base = small_deform3_update_version
  exodus = false
  [./csv]
    type = CSV
    [../]
[]

(modules/contact/test/tests/3d-mortar-contact/frictionless-mortar-3d-penalty.i)

starting_point = 0.25
offset = 0.00

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
  volumetric_locking_correction = true
[]

[AuxVariables]
  [penalty_normal_pressure]
    order = FIRST
    family = LAGRANGE
  []
[]

[AuxKernels]
  [penalty_normal_pressure_auxk]
    type = PenaltyMortarUserObjectAux
    variable = penalty_normal_pressure
    user_object = normal_uo
    contact_quantity = normal_pressure
  []
[]

[Mesh]
  [top_block]
    type = GeneratedMeshGenerator
    dim = 3
    nx = 3
    ny = 3
    nz = 3
    xmin = -0.25
    xmax = 0.25
    ymin = -0.25
    ymax = 0.25
    zmin = -0.25
    zmax = 0.25
    elem_type = HEX8
  []
  [rotate_top_block]
    type = TransformGenerator
    input = top_block
    transform = ROTATE
    vector_value = '0 0 0'
  []
  [top_block_sidesets]
    type = RenameBoundaryGenerator
    input = rotate_top_block
    old_boundary = '0 1 2 3 4 5'
    new_boundary = 'top_bottom top_back top_right top_front top_left top_top'
  []
  [top_block_id]
    type = SubdomainIDGenerator
    input = top_block_sidesets
    subdomain_id = 1
  []
  [bottom_block]
    type = GeneratedMeshGenerator
    dim = 3
    nx = 10
    ny = 10
    nz = 2
    xmin = -.5
    xmax = .5
    ymin = -.5
    ymax = .5
    zmin = -.3
    zmax = -.25
    elem_type = HEX8
  []
  [bottom_block_id]
    type = SubdomainIDGenerator
    input = bottom_block
    subdomain_id = 2
  []
  [bottom_block_change_boundary_id]
    type = RenameBoundaryGenerator
    input = bottom_block_id
    old_boundary = '0 1 2 3 4 5'
    new_boundary = '100 101 102 103 104 105'
  []
  [combined]
    type = MeshCollectionGenerator
    inputs = 'top_block_id bottom_block_change_boundary_id'
  []
  [block_rename]
    type = RenameBlockGenerator
    input = combined
    old_block = '1 2'
    new_block = 'top_block bottom_block'
  []
  [bottom_right_sideset]
    type = SideSetsAroundSubdomainGenerator
    input = block_rename
    new_boundary = bottom_right
    block = bottom_block
    normal = '1 0 0'
  []
  [bottom_left_sideset]
    type = SideSetsAroundSubdomainGenerator
    input = bottom_right_sideset
    new_boundary = bottom_left
    block = bottom_block
    normal = '-1 0 0'
  []
  [bottom_top_sideset]
    type = SideSetsAroundSubdomainGenerator
    input = bottom_left_sideset
    new_boundary = bottom_top
    block = bottom_block
    normal = '0 0 1'
  []
  [bottom_bottom_sideset]
    type = SideSetsAroundSubdomainGenerator
    input = bottom_top_sideset
    new_boundary = bottom_bottom
    block = bottom_block
    normal = '0  0 -1'
  []
  [bottom_front_sideset]
    type = SideSetsAroundSubdomainGenerator
    input = bottom_bottom_sideset
    new_boundary = bottom_front
    block = bottom_block
    normal = '0 1 0'
  []
  [bottom_back_sideset]
    type = SideSetsAroundSubdomainGenerator
    input = bottom_front_sideset
    new_boundary = bottom_back
    block = bottom_block
    normal = '0 -1 0'
  []
  [secondary]
    input = bottom_back_sideset
    type = LowerDBlockFromSidesetGenerator
    sidesets = 'top_bottom' # top_back top_left'
    new_block_id = '10001'
    new_block_name = 'secondary_lower'
  []
  [primary]
    input = secondary
    type = LowerDBlockFromSidesetGenerator
    sidesets = 'bottom_top'
    new_block_id = '10000'
    new_block_name = 'primary_lower'
  []
  uniform_refine = 0
  allow_renumbering = false
[]

[Variables]

[]

[Physics/SolidMechanics/QuasiStatic]
  [all]
    add_variables = true
    strain = FINITE
    block = '1 2'
    use_automatic_differentiation = false
    generate_output = 'stress_xx stress_xy stress_xz stress_yy stress_zz'
  []
[]

[Materials]
  [tensor]
    type = ComputeIsotropicElasticityTensor
    block = '1'
    youngs_modulus = 1.0e4
    poissons_ratio = 0.0
  []
  [stress]
    type = ComputeFiniteStrainElasticStress
    block = '1'
  []

  [tensor_1000]
    type = ComputeIsotropicElasticityTensor
    block = '2'
    youngs_modulus = 1e5
    poissons_ratio = 0.0
  []
  [stress_1000]
    type = ComputeFiniteStrainElasticStress
    block = '2'
  []
[]

# Other object should mix formulations
[UserObjects]
  [normal_uo]
    type = PenaltyWeightedGapUserObject
    primary_boundary = 'bottom_top'
    secondary_boundary = 'top_bottom'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    disp_x = disp_x
    disp_y = disp_y
    disp_z = disp_z
    penalty = 1e8
  []
[]

[Constraints]
  [normal_x]
    type = NormalMortarMechanicalContact
    primary_boundary = 'bottom_top'
    secondary_boundary = 'top_bottom'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    secondary_variable = disp_x
    component = x
    use_displaced_mesh = true
    compute_lm_residuals = false
    weighted_gap_uo = normal_uo
  []
  [normal_y]
    type = NormalMortarMechanicalContact
    primary_boundary = 'bottom_top'
    secondary_boundary = 'top_bottom'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    secondary_variable = disp_y
    component = y
    use_displaced_mesh = true
    compute_lm_residuals = false
    weighted_gap_uo = normal_uo
  []
  [normal_z]
    type = NormalMortarMechanicalContact
    primary_boundary = 'bottom_top'
    secondary_boundary = 'top_bottom'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    secondary_variable = disp_z
    component = z
    use_displaced_mesh = true
    compute_lm_residuals = false
    weighted_gap_uo = normal_uo
  []
[]

[BCs]
  [botx]
    type = DirichletBC
    variable = disp_x
    boundary = 'bottom_left bottom_right bottom_front bottom_back'
    value = 0.0
  []
  [boty]
    type = DirichletBC
    variable = disp_y
    boundary = 'bottom_left bottom_right bottom_front bottom_back'
    value = 0.0
  []
  [botz]
    type = DirichletBC
    variable = disp_z
    boundary = 'bottom_left bottom_right bottom_front bottom_back'
    value = 0.0
  []
  [topx]
    type = DirichletBC
    variable = disp_x
    boundary = 'top_top'
    value = 0.0
  []
  [topy]
    type = DirichletBC
    variable = disp_y
    boundary = 'top_top'
    value = 0.0
  []
  [topz]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'top_top'
    function = '-${starting_point} * sin(2 * pi / 40 * t) + ${offset}'
  []
[]

[Executioner]
  type = Transient
  end_time = .025
  dt = .025
  dtmin = .001
  solve_type = 'PJFNK'
  petsc_options = '-snes_converged_reason -ksp_converged_reason -snes_ksp_ew'
  petsc_options_iname = '-pc_type -pc_factor_mat_solver_type'
  petsc_options_value = 'lu       superlu_dist'
  l_max_its = 15
  nl_max_its = 30
  nl_rel_tol = 1e-11
  nl_abs_tol = 1e-12
  line_search = 'basic'
[]

[Debug]
  show_var_residual_norms = true
[]

[Outputs]
  exodus = true
  csv = true
[]

[Preconditioning]
  [smp]
    type = SMP
    full = true
  []
[]

[Postprocessors]
[]

[VectorPostprocessors]
[]

(modules/solid_mechanics/test/tests/weak_plane_shear/small_deform4.i)

# apply a pure tension, then some shear
# the BCs are designed to map out the yield function, showing
# the affect of 'cap' smoothing
[GlobalParams]
  displacements = 'x_disp y_disp z_disp'
[]

[Mesh]
  type = GeneratedMesh
  dim = 3
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]

[Physics/SolidMechanics/QuasiStatic/all]
  strain = FINITE
  add_variables = true
  generate_output = 'stress_xz stress_zx stress_yz stress_zz'
[]

[BCs]
  [bottomx]
    type = DirichletBC
    variable = x_disp
    boundary = back
    value = 0.0
  []
  [bottomy]
    type = DirichletBC
    variable = y_disp
    boundary = back
    value = 0.0
  []
  [bottomz]
    type = DirichletBC
    variable = z_disp
    boundary = back
    value = 0.0
  []

  [topx]
    type = FunctionDirichletBC
    variable = x_disp
    boundary = front
    function = 'if(t<1E-6,0,3*(t-1E-6)*(t-1E-6)*1E6)'
  []
  [topy]
    type = FunctionDirichletBC
    variable = y_disp
    boundary = front
    function = 'if(t<1E-6,0,5*(t-1E-6)*(t-1E-6)*1E6)'
  []
  [topz]
    type = FunctionDirichletBC
    variable = z_disp
    boundary = front
    function = 'if(t<1E-6,t,1E-6)'
  []
[]

[AuxVariables]
  [yield_fcn]
    order = CONSTANT
    family = MONOMIAL
  []
  [iter]
    order = CONSTANT
    family = MONOMIAL
  []
[]

[AuxKernels]
  [yield_fcn_auxk]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 0
    variable = yield_fcn
  []
  [iter_auxk]
    type = MaterialRealAux
    property = plastic_NR_iterations
    variable = iter
  []
[]

[Postprocessors]
  [s_xz]
    type = PointValue
    point = '0 0 0'
    variable = stress_xz
  []
  [s_yz]
    type = PointValue
    point = '0 0 0'
    variable = stress_yz
  []
  [s_zz]
    type = PointValue
    point = '0 0 0'
    variable = stress_zz
  []
  [f]
    type = PointValue
    point = '0 0 0'
    variable = yield_fcn
  []
  [iter]
    type = PointValue
    point = '0 0 0'
    variable = iter
  []
[]

[UserObjects]
  [coh]
    type = SolidMechanicsHardeningConstant
    value = 1E3
  []
  [tanphi]
    type = SolidMechanicsHardeningConstant
    value = 1
  []
  [tanpsi]
    type = SolidMechanicsHardeningConstant
    value = 0.08748866
  []
  [wps]
    type = SolidMechanicsPlasticWeakPlaneShear
    cohesion = coh
    tan_friction_angle = tanphi
    tan_dilation_angle = tanpsi
    tip_scheme = cap
    smoother = 0
    cap_rate = 0.001
    cap_start = -1000.0
    yield_function_tolerance = 1E-3
    internal_constraint_tolerance = 1E-6
  []
[]

[Materials]
  [elasticity_tensor]
    type = ComputeElasticityTensor
    fill_method = symmetric_isotropic
    C_ijkl = '1E9 0.5E9'
  []
  [mc]
    type = ComputeMultiPlasticityStress
    ep_plastic_tolerance = 1E-4
    plastic_models = wps
    transverse_direction = '0 0 1'
    debug_fspb = crash
    debug_jac_at_stress = '1E4 2E4 3E4 2E4 -4E4 5E4 3E4 5E4 6E8'
    debug_jac_at_pm = 1
    debug_jac_at_intnl = 1
    debug_stress_change = 1E-3
    debug_pm_change = 1E-5
    debug_intnl_change = 1E-5
  []
[]

[Executioner]
  end_time = 2E-6
  dt = 1E-7
  type = Transient
[]

[Outputs]
  csv = true
[]

(test/tests/kernels/ode/ode_sys_impl_test.i)

[Mesh]
  type = GeneratedMesh
  dim = 2
  xmin = 0
  xmax = 1
  ymin = 0
  ymax = 1
  nx = 2
  ny = 2
  elem_type = QUAD4
[]

[Functions]
  [./f_fn]
    type = ParsedFunction
    expression = -4
  [../]
  [./bc_all_fn]
    type = ParsedFunction
    expression = x*x+y*y
  [../]

  # ODEs
  [./exact_x_fn]
    type = ParsedFunction
    expression = (-1/3)*exp(-t)+(4/3)*exp(5*t)
  [../]
[]

# NL

[Variables]
  [./u]
    family = LAGRANGE
    order = FIRST
  [../]

  # ODE variables
  [./x]
    family = SCALAR
    order = FIRST
    initial_condition = 1
  [../]
  [./y]
    family = SCALAR
    order = FIRST
    initial_condition = 2
  [../]
[]

[Kernels]
  [./td]
    type = TimeDerivative
    variable = u
  [../]
  [./diff]
    type = Diffusion
    variable = u
  [../]
  [./uff]
    type = BodyForce
    variable = u
    function = f_fn
  [../]
[]

[ScalarKernels]
  [./td1]
    type = ODETimeDerivative
    variable = x
  [../]
  [./ode1]
    type = ImplicitODEx
    variable = x
    y = y
  [../]

  [./td2]
    type = ODETimeDerivative
    variable = y
  [../]
  [./ode2]
    type = ImplicitODEy
    variable = y
    x = x
  [../]
[]

[BCs]
  [./all]
    type = FunctionDirichletBC
    variable = u
    boundary = '0 1 2 3'
    function = bc_all_fn
  [../]
[]

[Postprocessors]
  active = 'exact_x l2err_x'

  [./exact_x]
    type = FunctionValuePostprocessor
    function = exact_x_fn
    execute_on = 'initial timestep_end'
    point = '0 0 0'
  [../]

  [./l2err_x]
    type = ScalarL2Error
    variable = x
    function = exact_x_fn
    execute_on = 'initial timestep_end'
  [../]
[]

[Executioner]
  type = Transient
  start_time = 0
  dt = 0.01
  num_steps = 100

  solve_type = 'PJFNK'
[]

[Outputs]
  exodus = true
[]

(modules/solid_mechanics/test/tests/dynamics/wave_1D/wave_hht.i)

# Wave propogation in 1D using HHT time integration
#
# The test is for an 1D bar element of length 4m  fixed on one end
# with a sinusoidal pulse dirichlet boundary condition applied to the other end.
# alpha, beta and gamma are Newmark  time integration parameters
# The equation of motion in terms of matrices is:
#
# M*accel + K*((1+alpha)*disp-alpha*disp_old) = 0
#
# Here M is the mass matrix, K is the stiffness matrix
#
# The displacement at the second, third and fourth node at t = 0.1 are
# -8.097405701570538350e-02, 2.113131879547342634e-02 and -5.182787688751439893e-03, respectively.

[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 4
  nz = 1
  xmin = 0.0
  xmax = 0.1
  ymin = 0.0
  ymax = 4.0
  zmin = 0.0
  zmax = 0.1
  use_displaced_mesh = false
[]

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]

[Physics/SolidMechanics/Dynamic]
  [all]
    add_variables = true
    hht_alpha = -0.3
    newmark_beta = 0.3025
    newmark_gamma = 0.6
  []
[]

[BCs]
  [top_y]
    type = DirichletBC
    variable = disp_y
    boundary = top
    value = 0.0
  []
  [top_x]
    type = DirichletBC
    variable = disp_x
    boundary = top
    value = 0.0
  []
  [top_z]
    type = DirichletBC
    variable = disp_z
    boundary = top
    value = 0.0
  []
  [right_x]
    type = DirichletBC
    variable = disp_x
    boundary = right
    value = 0.0
  []
  [right_z]
    type = DirichletBC
    variable = disp_z
    boundary = right
    value = 0.0
  []
  [left_x]
    type = DirichletBC
    variable = disp_x
    boundary = left
    value = 0.0
  []
  [left_z]
    type = DirichletBC
    variable = disp_z
    boundary = left
    value = 0.0
  []
  [front_x]
    type = DirichletBC
    variable = disp_x
    boundary = front
    value = 0.0
  []
  [front_z]
    type = DirichletBC
    variable = disp_z
    boundary = front
    value = 0.0
  []
  [back_x]
    type = DirichletBC
    variable = disp_x
    boundary = back
    value = 0.0
  []
  [back_z]
    type = DirichletBC
    variable = disp_z
    boundary = back
    value = 0.0
  []
  [bottom_x]
    type = DirichletBC
    variable = disp_x
    boundary = bottom
    value = 0.0
  []
  [bottom_z]
    type = DirichletBC
    variable = disp_z
    boundary = bottom
    value = 0.0
  []
  [bottom_y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = bottom
    function = displacement_bc
  []
[]

[Materials]
  [Elasticity_tensor]
    type = ComputeElasticityTensor
    fill_method = symmetric_isotropic
    C_ijkl = '1 0'
  []

  [stress]
    type = ComputeLinearElasticStress
  []

  [density]
    type = GenericConstantMaterial
    prop_names = 'density'
    prop_values = '1'
  []

[]

[Executioner]
  type = Transient
  start_time = 0
  end_time = 6.0
  l_tol = 1e-12
  nl_rel_tol = 1e-12
  dt = 0.1
[]

[Functions]
  [displacement_bc]
    type = PiecewiseLinear
    data_file = 'sine_wave.csv'
    format = columns
  []
[]

[Postprocessors]
  [_dt]
    type = TimestepSize
  []
  [disp_1]
    type = NodalVariableValue
    nodeid = 1
    variable = vel_y
  []
  [disp_2]
    type = NodalVariableValue
    nodeid = 3
    variable = vel_y
  []
  [disp_3]
    type = NodalVariableValue
    nodeid = 10
    variable = vel_y
  []
  [disp_4]
    type = NodalVariableValue
    nodeid = 14
    variable = vel_y
  []
[]

[Outputs]
  exodus = true
  perf_graph = true
[]

(modules/solid_mechanics/test/tests/central_difference/lumped/2D/2d_nodalmass_explicit.i)

# One element test to test the central difference time integrator.

[Mesh]
  [./generated_mesh]
    type = GeneratedMeshGenerator
    dim = 2
    xmin = 0
    xmax = 1
    ymin = 0
    ymax = 2
    nx = 1
    ny = 2
  [../]
  [./all_nodes]
    type = BoundingBoxNodeSetGenerator
    new_boundary = 'all'
    input = 'generated_mesh'
    top_right = '1 2 0'
    bottom_left = '0 0 0'
  [../]
[]

[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
[]

[AuxVariables]
  [./accel_x]
  [../]
  [./vel_x]
  [../]
  [./accel_y]
  [../]
  [./vel_y]
  [../]
[]

[AuxKernels]
  [./accel_x]
    type = TestNewmarkTI
    variable = accel_x
    displacement = disp_x
    first = false
  [../]
  [./vel_x]
    type = TestNewmarkTI
    variable = vel_x
    displacement = disp_x
  [../]
  [./accel_y]
    type = TestNewmarkTI
    variable = accel_y
    displacement = disp_y
    first = false
  [../]
  [./vel_y]
    type = TestNewmarkTI
    variable = vel_y
    displacement = disp_y
  [../]
[]

[Kernels]
  [./DynamicSolidMechanics]
    displacements = 'disp_x disp_y'
  [../]
[]

[BCs]
  [./y_bot]
    type = DirichletBC
    variable = disp_y
    boundary = bottom
    value = 0.0
  [../]
  [./x_bot]
    type = FunctionDirichletBC
    boundary = bottom
    variable = disp_x
    function = disp
    preset = false
  [../]
[]

[Functions]
  [./disp]
    type = PiecewiseLinear
    x = '0.0 1.0 2.0 3.0 4.0' # time
    y = '0.0 1.0 0.0 -1.0 0.0'  # displacement
  [../]
[]

[NodalKernels]
  [./nodal_mass_x]
    type = NodalTranslationalInertia
    variable = 'disp_x'
    nodal_mass_file = 'nodal_mass_file.csv'
    boundary = 'all'
  [../]
  [./nodal_mass_y]
    type = NodalTranslationalInertia
    variable = 'disp_y'
    nodal_mass_file = 'nodal_mass_file.csv'
    boundary = 'all'
  [../]
[]

[Materials]
  [./elasticity_tensor_block]
    type = ComputeIsotropicElasticityTensor
    youngs_modulus = 1e6
    poissons_ratio = 0.25
    block = 0
  [../]
  [./strain_block]
    type = ComputeIncrementalStrain
    block = 0
    displacements = 'disp_x disp_y'
    implicit = false
  [../]
  [./stress_block]
    type = ComputeFiniteStrainElasticStress
    block = 0
  [../]
[]

[Executioner]
  type = Transient
  start_time = 0
  end_time = 0.1
  dt = 0.005
  timestep_tolerance = 1e-6
  [./TimeIntegrator]
    type = CentralDifference
  [../]
[]

[Postprocessors]
  [./accel_2x]
    type = PointValue
    point = '1.0 2.0 0.0'
    variable = accel_x
  [../]
[]

[Outputs]
  exodus = false
  csv = true
[]

(modules/porous_flow/test/tests/hysteresis/hys_pc_03.i)

# Capillary-pressure calculation.  Primary drying curve with low_extension_type = exponential
# When comparing the results with a by-hand computation, remember the MOOSE results are averaged over an element
[Mesh]
  [mesh]
    type = GeneratedMeshGenerator
    dim = 1
    xmin = 0
    xmax = 1
    nx = 100
  []
[]

[GlobalParams]
  PorousFlowDictator = dictator
[]

[UserObjects]
  [dictator]
    type = PorousFlowDictator
    number_fluid_phases = 1
    number_fluid_components = 1
    porous_flow_vars = ''
  []
[]

[Variables]
  [sat]
  []
[]

[ICs]
  [sat]
    type = FunctionIC
    variable = sat
    function = 'x'
  []
[]

[BCs]
  [sat]
    type = FunctionDirichletBC
    variable = sat
    function = 'x'
    boundary = 'left right'
  []
[]


[Kernels]
  [dummy]
    type = Diffusion
    variable = sat
  []
[]

[Materials]
  [hys_order]
    type = PorousFlowHysteresisOrder
  []
  [pc_calculator]
    type = PorousFlowHystereticInfo
    alpha_d = 10.0
    alpha_w = 10.0
    n_d = 1.5
    n_w = 1.9
    S_l_min = 0.1
    S_lr = 0.2
    S_gr_max = 0.3
    Pc_max = 12.0
    low_extension_type = exponential
    sat_var = sat
  []
[]

[AuxVariables]
  [hys_order]
    family = MONOMIAL
    order = CONSTANT
  []
  [pc]
    family = MONOMIAL
    order = CONSTANT
  []
[]

[AuxKernels]
  [hys_order]
    type = PorousFlowPropertyAux
    variable = hys_order
    property = hysteresis_order
  []
  [pc]
    type = PorousFlowPropertyAux
    variable = pc
    property = hysteretic_info
  []
[]

[VectorPostprocessors]
  [pc]
    type = LineValueSampler
    warn_discontinuous_face_values = false
    start_point = '0 0 0'
    end_point = '1 0 0'
    num_points = 10
    sort_by = x
    variable = 'sat pc'
  []
[]

[Executioner]
  type = Transient
  solve_type = Linear
  dt = 1
  end_time = 1
[]

[Outputs]
  csv = true
[]

(modules/solid_mechanics/test/tests/lagrangian/cartesian/total/planar/weak_plane_stress/pull_3D.i)

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
  large_kinematics = true
  stabilize_strain = true
[]

[Mesh]
  [gmg]
    type = GeneratedMeshGenerator
    dim = 3
    nx = 1
    ny = 1
    nz = 1
  []
  use_displaced_mesh = false
[]

[Variables]
  [disp_x]
  []
  [disp_y]
  []
  [disp_z]
  []
[]

[Kernels]
  [sdx]
    type = TotalLagrangianStressDivergence
    variable = disp_x
    component = 0
  []
  [sdy]
    type = TotalLagrangianStressDivergence
    variable = disp_y
    component = 1
    save_in = 'ry'
  []
  [sdz]
    type = TotalLagrangianStressDivergence
    variable = disp_z
    component = 2
  []
[]

[AuxVariables]
  [ry]
  []
[]

[BCs]
  [left_x]
    type = DirichletBC
    boundary = left
    variable = disp_x
    value = 0
  []
  [bottom_y]
    type = DirichletBC
    boundary = bottom
    variable = disp_y
    value = 0
  []
  [back_z]
    type = DirichletBC
    boundary = back
    variable = disp_z
    value = 0
  []
  [disp_y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = top
    function = 't'
  []
[]

[Materials]
  [elastic_tensor]
    type = ComputeIsotropicElasticityTensor
    youngs_modulus = 1000.0
    poissons_ratio = 0.25
  []
  [strain]
    type = ComputeLagrangianStrain
  []
  [stress]
    type = ComputeLagrangianLinearElasticStress
  []
[]

[Executioner]
  type = Transient
  dt = 0.01
  end_time = 0.1

  solve_type = 'newton'
  petsc_options_iname = '-pc_type'
  petsc_options_value = 'lu'

  nl_abs_tol = 1e-10
  nl_rel_tol = 1e-10
[]

[Postprocessors]
  [Ry]
    type = NodalSum
    variable = ry
    boundary = top
    execute_on = 'INITIAL TIMESTEP_END'
  []
[]

[Outputs]
  csv = true
[]

(modules/solid_mechanics/test/tests/lagrangian/cartesian/total/action/no_action_L.i)

[Mesh]
  type = FileMesh
  file = 'L.exo'
[]

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
  large_kinematics = true
  stabilize_strain = true
[]

[Variables]
  [disp_x]
  []
  [disp_y]
  []
  [disp_z]
  []
[]

[Functions]
  [pfn]
    type = PiecewiseLinear
    x = '0    1    2'
    y = '0.00 0.3 0.5'
  []
[]

[Kernels]
  [sdx]
    type = TotalLagrangianStressDivergence
    variable = disp_x
    component = 0
  []
  [sdy]
    type = TotalLagrangianStressDivergence
    variable = disp_y
    component = 1
  []
  [sdz]
    type = TotalLagrangianStressDivergence
    variable = disp_z
    component = 2
  []
[]

[BCs]
  [left]
    type = DirichletBC
    preset = true
    variable = disp_x
    boundary = fix
    value = 0.0
  []

  [bottom]
    type = DirichletBC
    preset = true
    variable = disp_y
    boundary = fix
    value = 0.0
  []

  [back]
    type = DirichletBC
    preset = true
    variable = disp_z
    boundary = fix
    value = 0.0
  []

  [front]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = pull
    function = pfn
    preset = true
  []
[]

[AuxVariables]
  [strain_xx]
    order = CONSTANT
    family = MONOMIAL
  []
  [strain_yy]
    order = CONSTANT
    family = MONOMIAL
  []
  [strain_zz]
    order = CONSTANT
    family = MONOMIAL
  []
  [strain_xy]
    order = CONSTANT
    family = MONOMIAL
  []
  [strain_xz]
    order = CONSTANT
    family = MONOMIAL
  []
  [strain_yz]
    order = CONSTANT
    family = MONOMIAL
  []
  [cauchy_stress_xx]
    order = CONSTANT
    family = MONOMIAL
  []
  [cauchy_stress_yy]
    order = CONSTANT
    family = MONOMIAL
  []
  [cauchy_stress_zz]
    order = CONSTANT
    family = MONOMIAL
  []
  [cauchy_stress_xy]
    order = CONSTANT
    family = MONOMIAL
  []
  [cauchy_stress_yz]
    order = CONSTANT
    family = MONOMIAL
  []
  [cauchy_stress_xz]
    order = CONSTANT
    family = MONOMIAL
  []
[]

[AuxKernels]
  [cauchy_stress_xx]
    type = RankTwoAux
    rank_two_tensor = cauchy_stress
    variable = cauchy_stress_xx
    index_i = 0
    index_j = 0
    execute_on = timestep_end
  []
  [cauchy_stress_yy]
    type = RankTwoAux
    rank_two_tensor = cauchy_stress
    variable = cauchy_stress_yy
    index_i = 1
    index_j = 1
    execute_on = timestep_end
  []
  [cauchy_stress_zz]
    type = RankTwoAux
    rank_two_tensor = cauchy_stress
    variable = cauchy_stress_zz
    index_i = 2
    index_j = 2
    execute_on = timestep_end
  []
  [cauchy_stress_xy]
    type = RankTwoAux
    rank_two_tensor = cauchy_stress
    variable = cauchy_stress_xy
    index_i = 0
    index_j = 1
    execute_on = timestep_end
  []
  [cauchy_stress_xz]
    type = RankTwoAux
    rank_two_tensor = cauchy_stress
    variable = cauchy_stress_xz
    index_i = 0
    index_j = 2
    execute_on = timestep_end
  []
  [cauchy_stress_yz]
    type = RankTwoAux
    rank_two_tensor = cauchy_stress
    variable = cauchy_stress_yz
    index_i = 1
    index_j = 2
    execute_on = timestep_end
  []

  [strain_xx]
    type = RankTwoAux
    rank_two_tensor = total_strain
    variable = strain_xx
    index_i = 0
    index_j = 0
    execute_on = timestep_end
  []
  [strain_yy]
    type = RankTwoAux
    rank_two_tensor = total_strain
    variable = strain_yy
    index_i = 1
    index_j = 1
    execute_on = timestep_end
  []
  [strain_zz]
    type = RankTwoAux
    rank_two_tensor = total_strain
    variable = strain_zz
    index_i = 2
    index_j = 2
    execute_on = timestep_end
  []
  [strain_xy]
    type = RankTwoAux
    rank_two_tensor = total_strain
    variable = strain_xy
    index_i = 0
    index_j = 1
    execute_on = timestep_end
  []
  [strain_xz]
    type = RankTwoAux
    rank_two_tensor = total_strain
    variable = strain_xz
    index_i = 0
    index_j = 2
    execute_on = timestep_end
  []
  [strain_yz]
    type = RankTwoAux
    rank_two_tensor = total_strain
    variable = strain_yz
    index_i = 1
    index_j = 2
    execute_on = timestep_end
  []
[]

[Materials]
  [elastic_tensor]
    type = ComputeIsotropicElasticityTensor
    youngs_modulus = 100000.0
    poissons_ratio = 0.25
  []
  [compute_stress]
    type = ComputeLagrangianLinearElasticStress
  []
  [compute_strain]
    type = ComputeLagrangianStrain
  []
[]

[Preconditioning]
  [smp]
    type = SMP
    full = true
  []
[]

[Executioner]
  type = Transient

  solve_type = 'newton'

  petsc_options_iname = -pc_type
  petsc_options_value = lu

  nl_abs_tol = 1e-10
  nl_rel_tol = 1e-8

  end_time = 1.0
  dtmin = 0.5
  dt = 0.5
[]

[Outputs]
  exodus = true
  csv = false
[]

(modules/solid_mechanics/test/tests/weak_plane_tensile/small_deform_hard2.i)

# Checking solution of hardening
# A single element is stretched by 1E-6 in z direction.
#
# Young's modulus = 20 MPa.  Tensile strength = 10 Exp(-1E6*q) Pa
#
# The trial stress is
# trial_stress_zz = Youngs Modulus*Strain = 2E7*1E-6 = 20 Pa
#
# Therefore the equations we have to solve are
# 0 = f = stress_zz - 10 Exp(-1E6*q)
# 0 = epp = ga - (20 - stress_zz)/2E7
# 0 = intnl = q - ga
#
# The result is
# q = 0.76803905E-6
# stress_zz = 4.6392191 Pa
[GlobalParams]
  displacements = 'x_disp y_disp z_disp'
[]

[Mesh]
  type = GeneratedMesh
  dim = 3
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]

[Physics/SolidMechanics/QuasiStatic/all]
  strain = FINITE
  add_variables = true
  generate_output = 'stress_zz'
[]

[BCs]
  [bottomx]
    type = DirichletBC
    variable = x_disp
    boundary = back
    value = 0.0
  []
  [bottomy]
    type = DirichletBC
    variable = y_disp
    boundary = back
    value = 0.0
  []
  [bottomz]
    type = DirichletBC
    variable = z_disp
    boundary = back
    value = 0.0
  []

  [topx]
    type = DirichletBC
    variable = x_disp
    boundary = front
    value = 0
  []
  [topy]
    type = DirichletBC
    variable = y_disp
    boundary = front
    value = 0
  []
  [topz]
    type = FunctionDirichletBC
    variable = z_disp
    boundary = front
    function = 1E-6*t
  []
[]

[AuxVariables]
  [wpt_internal]
    order = CONSTANT
    family = MONOMIAL
  []
  [yield_fcn]
    order = CONSTANT
    family = MONOMIAL
  []
[]

[AuxKernels]
  [wpt_internal]
    type = MaterialStdVectorAux
    property = plastic_internal_parameter
    index = 0
    variable = wpt_internal
  []
  [yield_fcn_auxk]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 0
    variable = yield_fcn
  []
[]

[Postprocessors]
  [wpt_internal]
    type = PointValue
    point = '0 0 0'
    variable = wpt_internal
  []
  [s_zz]
    type = PointValue
    point = '0 0 0'
    variable = stress_zz
  []
  [f]
    type = PointValue
    point = '0 0 0'
    variable = yield_fcn
  []
[]

[UserObjects]
  [str]
    type = SolidMechanicsHardeningExponential
    value_0 = 10
    value_residual = 0
    rate = 1E6
  []
  [wpt]
    type = SolidMechanicsPlasticWeakPlaneTensile
    tensile_strength = str
    yield_function_tolerance = 1E-6
    internal_constraint_tolerance = 1E-11
  []
[]

[Materials]
  [elasticity_tensor]
    type = ComputeElasticityTensor
    fill_method = symmetric_isotropic
    C_ijkl = '0 1E7'
  []
  [mc]
    type = ComputeMultiPlasticityStress
    plastic_models = wpt
    transverse_direction = '0 0 1'
    ep_plastic_tolerance = 1E-11
  []
[]

[Executioner]
  end_time = 1
  dt = 1
  type = Transient
[]

[Outputs]
  csv = true
[]

(modules/solid_mechanics/test/tests/uel/small_test_uel_states_fields_gradient.i)

[Mesh]
  [gen]
    type = GeneratedMeshGenerator
    dim = 2
    nx = 20
    ny = 10
    xmax = 10
    ymax = 3
    elem_type = TRI3
  []
  [pin]
    type = ExtraNodesetGenerator
    nodes = 106
    new_boundary = pin
    input = gen
  []
  displacements = 'disp_x disp_y'
[]

[Variables]
  [disp_x]
  []
  [disp_y]
  []
[]

[AuxVariables]
  [temperature]
    initial_condition = 400
  []
  [voltage]
    initial_condition = 210
  []
[]

[AuxKernels]
  [temperature]
    type = FunctionAux
    function = '25* x + 40 * y + 400'
    variable = temperature
  []
  [voltage]
    type = FunctionAux
    function = '10 * x + 4 * y + 210'
    variable = voltage
  []
[]

[BCs]
  [left_x]
    type = DirichletBC
    variable = disp_x
    boundary = left
    value = 0
  []
  [left_y]
    type = DirichletBC
    variable = disp_y
    boundary = pin
    value = 0
  []

  inactive = 'right_dirichlet'
  [right_neumann]
    type = FunctionNeumannBC
    variable = disp_x
    function = t/10
    boundary = right
  []
  [right_dirichlet]
    type = FunctionDirichletBC
    variable = disp_x
    function = t/10
    boundary = right
  []
[]

[UserObjects]
  [uel]
    type = AbaqusUserElement
    variables = 'disp_x disp_y'
    plugin = ../../../examples/uel_tri_states_tests/uel
    use_displaced_mesh = false
    num_state_vars = 8
    constant_properties = '100 0.3' # E nu
    external_fields = 'temperature voltage'
    extra_vector_tags = 'kernel_residual'
  []
[]

[Problem]
  kernel_coverage_check = false
  extra_tag_vectors = 'kernel_residual'
[]

[AuxVariables]
  [res_x]
  []
  [res_y]
  []
[]

[AuxKernels]
  [res_x]
    type = TagVectorAux
    variable = res_x
    v = disp_x
    vector_tag = kernel_residual
  []
  [res_y]
    type = TagVectorAux
    variable = res_y
    v = disp_y
    vector_tag = kernel_residual
  []
[]

[Executioner]
  type = Transient
  solve_type = NEWTON
  petsc_options_iname = '-pc_type'
  petsc_options_value = 'lu'
  dt = 1
  num_steps = 15
[]

[Postprocessors]
  [delta_l]
    type = SideAverageValue
    variable = disp_x
    boundary = right
    execute_on = 'INITIAL TIMESTEP_END'
  []
  [V]
    type = ElementIntegralMaterialProperty
    mat_prop = 1
    use_displaced_mesh = true
    execute_on = 'INITIAL TIMESTEP_END'
  []
[]

[Outputs]
  exodus = true
  csv = true
[]

(modules/combined/test/tests/umat/gap_heat_transfer_umat.i)

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
  temperature = temp
[]

[Mesh]
  file = gap_heat_transfer_mesh.e
[]

[Functions]
  [disp]
    type = PiecewiseLinear
    x = '0 2.0'
    y = '0 1.0'
  []
  [temp]
    type = PiecewiseLinear
    x = '0     1'
    y = '273 2000'
  []
  [pressure_function]
    type = PiecewiseLinear
    x = '0     1'
    y = '0 200'
  []
[]

[Variables]
  [disp_x]
  []
  [disp_y]
  []
  [disp_z]
  []
  [temp]
    initial_condition = 273
  []
[]

[ThermalContact]
  [thermal_contact]
    type = GapHeatTransfer
    variable = temp
    primary = 2
    secondary = 3
    emissivity_primary = 0
    emissivity_secondary = 0
  []
[]

[Physics/SolidMechanics/QuasiStatic/All]
  volumetric_locking_correction = true
  strain = FINITE
  generate_output = 'strain_yy stress_yy'
[]

[Kernels]
  [heat]
    type = HeatConduction
    variable = temp
  []
[]

[BCs]
  [move_right]
    type = FunctionDirichletBC
    boundary = '3'
    variable = disp_x
    function = disp
  []

  [fixed_x]
    type = DirichletBC
    boundary = '1'
    variable = disp_x
    value = 0
  []
  [fixed_y]
    type = DirichletBC
    boundary = '1 2 4'
    variable = disp_y
    value = 0
  []
  [fixed_z]
    type = DirichletBC
    boundary = '1 2 3 4'
    variable = disp_z
    value = 0
  []

  [temp_bottom]
    type = FunctionDirichletBC
    boundary = 1
    variable = temp
    function = temp
  []
  [temp_top]
    type = DirichletBC
    boundary = 4
    variable = temp
    value = 100
  []
  [Pressure]
    [example]
      boundary = 3
      function = pressure_function
    []
  []
[]

[Materials]
  # 1. Active for umat calculation
  [umat]
    type = AbaqusUMATStress
    constant_properties = '1.0e6 0.3'
    plugin = '../../../../solid_mechanics/test/plugins/elastic_temperature'
    num_state_vars = 0
    temperature = temp
    use_one_based_indexing = true
  []
  #  2. Active for reference MOOSE computations
  [elasticity_tensor]
    type = ComputeIsotropicElasticityTensor
    block = '1 2'
    base_name = 'base'
    youngs_modulus = 1e6
    poissons_ratio = 0.3
  []
  [temp_dependent_elasticity_tensor]
    type = CompositeElasticityTensor
    block = '1 2'
    args = temp
    tensors = 'base'
    weights = 'prefactor_material'
  []
  [prefactor_material_block]
    type = DerivativeParsedMaterial
    block = '1 2'
    property_name = prefactor_material
    coupled_variables = temp
    expression = '273/(temp)'
  []
  [stress]
    type = ComputeFiniteStrainElasticStress
    block = '1 2'
  []
  [heat]
    type = HeatConductionMaterial
    block = '1 2'
    specific_heat = 1.0
    thermal_conductivity = 1.0
  []
  [density]
    type = Density
    block = '1 2'
    density = 1.0
  []
[]

[Executioner]
  type = Transient
  solve_type = 'PJFNK'

  start_time = 0.0
  dt = 0.1
  end_time = 2.0
[]

[Outputs]
  exodus = true
[]

(modules/solid_mechanics/test/tests/torque_reaction/torque_reaction_3D.i)

# Scalar torque reaction

# This test computes the sum of the torques acting on a single element cube mesh.
# Equal displacements in the x and the z are applied along the cube top to
# create a shear force along the (1, 0, 1) direction.  The rotation origin is
# set to the middle of the bottom face of the cube (0.5, 0, 0.5), and the axis of
# rotation direction vector  used to compute the torque reaction is set to (-1, 0, 1).
# Torque is calculated for the four nodes on the top of the cube. The projection
# of the node coordinates is zero for nodes 3 and 6, +1 for node 7, and -1 for
# node 2 from the selection of the direction vector and the rotation axis origin.

[GlobalParams]
  order = FIRST
  family = LAGRANGE
  displacements = 'disp_x disp_y disp_z'
[]

[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
[]

[Problem]
  extra_tag_vectors = 'ref'
[]

[GlobalParams]
  volumetric_locking_correction=true
[]

[AuxVariables]
  [./saved_x]
  [../]
  [./saved_y]
  [../]
  [./saved_z]
  [../]
[]

[AuxKernels]
  [saved_x]
    type = TagVectorAux
    vector_tag = 'ref'
    v = 'disp_x'
    variable = 'saved_x'
  []
  [saved_y]
    type = TagVectorAux
    vector_tag = 'ref'
    v = 'disp_y'
    variable = 'saved_y'
  []
  [saved_z]
    type = TagVectorAux
    vector_tag = 'ref'
    v = 'disp_z'
    variable = 'saved_z'
  []
[]

[Physics/SolidMechanics/QuasiStatic]
  [master]
    strain = SMALL
    generate_output = 'stress_xx stress_yy stress_zz'
    add_variables = true
    extra_vector_tags = 'ref'
  []
[]

[BCs]
  [./bottom_x]
    type = DirichletBC
    variable = disp_x
    boundary = bottom
    value = 0.0
  [../]
  [./bottom_y]
    type = DirichletBC
    variable = disp_y
    boundary = bottom
    value = 0.0
  [../]
  [./bottom_z]
    type = DirichletBC
    variable = disp_z
    boundary = bottom
    value = 0.0
  [../]
  [./top_shear_z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = top
    function = '0.01*t'
  [../]
  [./top_shear_x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = top
    function = '0.01*t'
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeIsotropicElasticityTensor
    youngs_modulus = 207000
    poissons_ratio = 0.3
  [../]
  [./elastic_stress]
    type = ComputeLinearElasticStress
  [../]
[]

[Executioner]
  type = Transient

  #Preconditioned JFNK (default)
  solve_type = 'PJFNK'

  petsc_options = '-snes_ksp_ew'
  petsc_options_iname = '-ksp_gmres_restart'
  petsc_options_value = '101'

  line_search = 'none'

  l_max_its = 30
  nl_max_its = 20
  nl_abs_tol = 1e-14
  nl_rel_tol = 1e-12
  l_tol = 1e-8

  start_time = 0.0
  dt = 0.5

  end_time = 1
  num_steps = 2
[]

[Postprocessors]
  [./_dt]
    type = TimestepSize
  [../]
  [./torque]
    type = TorqueReaction
    boundary = top
    reaction_force_variables = 'saved_x saved_y saved_z'
    axis_origin = '0.5 0. 0.5'
    direction_vector = '-1. 0. 1.'
  [../]
[]

[Outputs]
  exodus = true
[]

(modules/porous_flow/test/tests/mass_conservation/mass13.i)

# The sample is an annulus in RZ coordinates.
# Roller BCs are applied to the rmin, top and bottom boundaries
# A constant displacement is applied to the outer boundary: disp_r = -0.01 * t * (r - rmin)/(rmax - rmin).
# There is no fluid flow.
# Fluid mass conservation is checked.
#
# The flag volumetric_locking_correction = true is set for the strain calculator,
# which ensures that the volumetric strain is uniform throughout the element
#
# Theoretically,
# volumetric_strain = volume / volume0 - 1 = ((rmax - 0.01*t)^2 - rmin^2) / (rmax^2 - rmin^2) - 1
# However, with ComputeAxisymmetricRZSmallStrain, strain_rr = -0.01 * t / (rmax - rmin)
# and strain_tt = disp_r / r = -0.01 * t * (1 - rmin / r_qp) / (rmax - rmin), where r_qp is the radius of the quadpoint
# With volumetric_locking_correction = true, r_qp = (rmax - rmin) / 2.
# The volumetric strain is
# epv = -0.01 * t * (2 - rmin / r_qp) / (rmax - rmin)
# and volume = volume0 * (1 + epv)
#
# Fluid conservation reads
# volume0 * rho0 * exp(P0/bulk) = volume * rho0 * exp(P/bulk), so
# P - P0 = bulk * log(volume0 / volume) = 0.5 * log(1 / (1 + epv))

# With rmax = 2 and rmin = 1
# fluid_mass = volume0 * rho0 * exp(P0/bulk) = pi*3 * 1 * exp(0.1/0.5) = 11.51145

[Mesh]
  type = GeneratedMesh
  dim = 2
  nx = 1
  ny = 1
  xmin = 1
  xmax = 2
  ymin = -0.5
  ymax = 0.5
  coord_type = RZ
[]

[GlobalParams]
  displacements = 'disp_r disp_z'
  PorousFlowDictator = dictator
  block = 0
  biot_coefficient = 0.3
[]

[Variables]
  [disp_r]
  []
  [disp_z]
  []
  [porepressure]
    initial_condition = 0.1
  []
[]

[BCs]
  [plane_strain]
    type = DirichletBC
    variable = disp_z
    value = 0
    boundary = 'bottom top'
  []
  [rmin_fixed]
    type = DirichletBC
    variable = disp_r
    value = 0
    boundary = left
  []
  [contract]
    type = FunctionDirichletBC
    variable = disp_r
    function = -0.01*t
    boundary = right
  []
[]

[Kernels]
  [grad_stress_r]
    type = StressDivergenceRZTensors
    variable = disp_r
    component = 0
  []
  [grad_stress_z]
    type = StressDivergenceRZTensors
    variable = disp_z
    component = 1
  []
  [poro_r]
    type = PorousFlowEffectiveStressCoupling
    variable = disp_r
    component = 0
  []
  [poro_z]
    type = PorousFlowEffectiveStressCoupling
    variable = disp_z
    component = 1
  []
  [poro_vol_exp]
    type = PorousFlowMassVolumetricExpansion
    variable = porepressure
    fluid_component = 0
  []
  [mass0]
    type = PorousFlowMassTimeDerivative
    fluid_component = 0
    variable = porepressure
  []
[]

[AuxVariables]
  [stress_rr]
    order = CONSTANT
    family = MONOMIAL
  []
  [stress_rz]
    order = CONSTANT
    family = MONOMIAL
  []
  [stress_zz]
    order = CONSTANT
    family = MONOMIAL
  []
  [stress_tt]
    order = CONSTANT
    family = MONOMIAL
  []
  [strain_rr]
    order = CONSTANT
    family = MONOMIAL
  []
  [strain_zz]
    order = CONSTANT
    family = MONOMIAL
  []
  [strain_tt]
    order = CONSTANT
    family = MONOMIAL
  []
  [vol_strain]
    order = CONSTANT
    family = MONOMIAL
  []
[]

[AuxKernels]
  [stress_rr]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_rr
    index_i = 0
    index_j = 0
  []
  [stress_rz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_rz
    index_i = 0
    index_j = 1
  []
  [stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zz
    index_i = 1
    index_j = 1
  []
  [stress_tt]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_tt
    index_i = 2
    index_j = 2
  []
  [strain_rr]
    type = RankTwoAux
    rank_two_tensor = total_strain
    variable = strain_rr
    index_i = 0
    index_j = 0
  []
  [strain_zz]
    type = RankTwoAux
    rank_two_tensor = total_strain
    variable = strain_zz
    index_i = 1
    index_j = 1
  []
  [strain_tt]
    type = RankTwoAux
    rank_two_tensor = total_strain
    variable = strain_tt
    index_i = 2
    index_j = 2
  []
  [vol_strain]
    type = MaterialRealAux
    property = PorousFlow_total_volumetric_strain_qp
    variable = vol_strain
  []
[]

[FluidProperties]
  [simple_fluid]
    type = SimpleFluidProperties
    bulk_modulus = 0.5
    density0 = 1
    thermal_expansion = 0
    viscosity = 1
  []
[]

[Materials]
  [temperature]
    type = PorousFlowTemperature
  []
  [elasticity_tensor]
    type = ComputeElasticityTensor
    C_ijkl = '1 1.5'
    # bulk modulus is lambda + 2*mu/3 = 1 + 2*1.5/3 = 2
    fill_method = symmetric_isotropic
  []
  [strain]
    type = ComputeAxisymmetricRZSmallStrain
    volumetric_locking_correction = true # the strain will be the same at every qp of the element
  []
  [stress]
    type = ComputeLinearElasticStress
  []
  [vol_strain]
    type = PorousFlowVolumetricStrain
  []
  [eff_fluid_pressure]
    type = PorousFlowEffectiveFluidPressure
  []
  [ppss]
    type = PorousFlow1PhaseP
    porepressure = porepressure
    capillary_pressure = pc
  []
  [massfrac]
    type = PorousFlowMassFraction
  []
  [simple_fluid]
    type = PorousFlowSingleComponentFluid
    fp = simple_fluid
    phase = 0
  []
  [porosity]
    type = PorousFlowPorosityConst
    porosity = 0.1
  []
  [permeability]
    type = PorousFlowPermeabilityConst
    permeability = '0.5 0 0   0 0.5 0   0 0 0.5'
  []
[]

[UserObjects]
  [dictator]
    type = PorousFlowDictator
    porous_flow_vars = 'porepressure disp_r disp_z'
    number_fluid_phases = 1
    number_fluid_components = 1
  []
  [pc]
    type = PorousFlowCapillaryPressureVG
    m = 0.5
    alpha = 1
  []
[]

[Postprocessors]
  [p0]
    type = PointValue
    outputs = 'console csv'
    execute_on = 'initial timestep_end'
    point = '1.0 0 0'
    variable = porepressure
  []
  [vol_strain]
    type = PointValue
    outputs = 'console csv'
    execute_on = 'initial timestep_end'
    point = '1 0 0'
    variable = vol_strain
  []
  [strain_rr]
    type = PointValue
    outputs = 'console csv'
    execute_on = 'initial timestep_end'
    point = '1 0 0'
    variable = strain_rr
  []
  [strain_zz]
    type = PointValue
    outputs = 'console csv'
    execute_on = 'initial timestep_end'
    point = '1 0 0'
    variable = strain_zz
  []
  [strain_tt]
    type = PointValue
    outputs = 'console csv'
    execute_on = 'initial timestep_end'
    point = '1 0 0'
    variable = strain_tt
  []
  [rdisp]
    type = PointValue
    outputs = csv
    point = '2 0 0'
    use_displaced_mesh = false
    variable = disp_r
  []
  [stress_rr]
    type = PointValue
    outputs = csv
    point = '1 0 0'
    variable = stress_rr
  []
  [stress_zz]
    type = PointValue
    outputs = csv
    point = '1 0 0'
    variable = stress_zz
  []
  [stress_tt]
    type = PointValue
    outputs = csv
    point = '1 0 0'
    variable = stress_tt
  []
  [fluid_mass]
    type = PorousFlowFluidMass
    fluid_component = 0
    execute_on = 'initial timestep_end'
    outputs = 'console csv'
  []
[]

[Preconditioning]
  [andy]
    type = SMP
    full = true
    petsc_options_iname = '-ksp_type -pc_type -snes_atol -snes_rtol -snes_max_it'
    petsc_options_value = 'bcgs bjacobi 1E-14 1E-8 10000'
  []
[]

[Executioner]
  type = Transient
  solve_type = Newton
  start_time = 0
  end_time = 10
  dt = 2
[]

[Outputs]
  execute_on = 'initial timestep_end'
  [csv]
    type = CSV
  []
[]

(modules/stochastic_tools/test/tests/transfers/libtorch_nn_transfer/libtorch_drl_control_sub.i)

[Mesh]
  [mesh]
    type = GeneratedMeshGenerator
    dim = 1
    xmin = 0.0
    xmax = 7.0
    nx = 3
  []
[]

[Variables]
  [temp]
    initial_condition = 300
  []
[]

[Kernels]
  [time]
    type = CoefTimeDerivative
    variable = temp
    Coefficient = '${fparse 1.00630182*1.225}'
  []
  [heat_conduc]
    type = MatDiffusion
    variable = temp
    diffusivity = 'k'
  []
[]

[BCs]
  [left_flux]
    type = NeumannBC
    value = 0.0
    boundary = 'left'
    variable = temp
  []
  [dirichlet]
    type = FunctionDirichletBC
    function = temp_env
    variable = temp
    boundary = 'right'
  []
[]

[Functions]
  [temp_env]
    type = ParsedFunction
    value = '15.0*sin(t/86400.0 *pi) + 273.0'
  []
  [design_function]
    type = ParsedFunction
    value = '297'
  []
  [reward_function]
    type = ScaledAbsDifferenceDRLRewardFunction
    design_function = design_function
    observed_value = center_temp_tend
    c1 = 1
    c2 = 10
  []
[]

[Materials]
  [constant]
    type = GenericConstantMaterial
    prop_names = 'k'
    prop_values = 26.53832364
  []
[]

[Postprocessors]
  [center_temp]
    type = PointValue
    variable = temp
    point = '3.5 0.0 0.0'
    execute_on = 'INITIAL TIMESTEP_BEGIN'
  []
  [center_temp_tend]
    type = PointValue
    variable = temp
    point = '3.5 0.0 0.0'
    execute_on = 'INITIAL TIMESTEP_END'
  []
  [env_temp]
    type = FunctionValuePostprocessor
    function = temp_env
    execute_on = 'INITIAL TIMESTEP_BEGIN'
  []
  [reward]
    type = FunctionValuePostprocessor
    function = reward_function
    execute_on = 'INITIAL TIMESTEP_END'
    indirect_dependencies = 'center_temp_tend env_temp'
  []
  [left_flux]
    type = LibtorchControlValuePostprocessor
    control_name = src_control
    execute_on = 'INITIAL TIMESTEP_END'
  []
  [log_prob_left_flux]
    type = LibtorchDRLLogProbabilityPostprocessor
    control_name = src_control
    execute_on = 'INITIAL TIMESTEP_END'
  []
[]

[Reporters]
  [T_reporter]
    type = AccumulateReporter
    reporters = 'center_temp_tend/value env_temp/value reward/value left_flux/value log_prob_left_flux/value'
    outputs = 'csv_out'
  []
  [nn_parameters]
    type = LibtorchArtificialNeuralNetParameters
    control_name = src_control
    outputs = json_out
  []
[]

[Controls]
  [src_control]
    type = LibtorchDRLControl
    parameters = "BCs/left_flux/value"
    responses = 'center_temp env_temp'

    # keep consistent with LibtorchDRLControlTrainer
    input_timesteps = 2
    response_scaling_factors = '0.03 0.03'
    response_shift_factors = '270 270'
    action_standard_deviations = '0.1'
    action_scaling_factors = 100

    execute_on = 'TIMESTEP_BEGIN'
  []
[]

[Executioner]
  type = Transient
  solve_type = 'NEWTON'

  petsc_options_iname = '-pc_type -pc_factor_shift_type'
  petsc_options_value = 'lu NONZERO'
  line_search = 'none'

  nl_rel_tol = 1e-8

  start_time = 0.0
  end_time = 86400
  dt = 14400.0
[]

[Outputs]
  [json_out]
    type = JSON
    execute_on = FINAL
    execute_system_information_on = NONE
  []
[]

(test/tests/multiapps/restart_subapp_ic/sub2.i)

[Mesh]
  type = GeneratedMesh
  dim = 1
  xmin = 0
  xmax = 1
  nx = 10
[]

[Functions]
  [u_fn]
    type = ParsedFunction
    expression = t*x
  []
  [ffn]
    type = ParsedFunction
    expression = x
  []
[]

[Variables]
  [u]
    initial_condition = 4.2
  []
[]

[Kernels]
  [diff]
    type = Diffusion
    variable = u
  []
  [td]
    type = TimeDerivative
    variable = u
  []
  [fn]
    type = BodyForce
    variable = u
    function = ffn
  []
[]

[BCs]
  [left]
    type = DirichletBC
    variable = u
    boundary = left
    value = 0
  []
  [right]
    type = FunctionDirichletBC
    variable = u
    boundary = right
    function = u_fn
  []
[]

[Problem]
  # Being restarted by the parent, yet the ICs are overriding the initial solution
  # See t=0.5s in the gold/parent2_out_sub_app0.e file
  allow_initial_conditions_with_restart = true
[]

[Executioner]
  type = Transient
  num_steps = 5
  dt = 0.1
  solve_type = 'PJFNK'
[]

[Outputs]
  exodus = true
[]

(modules/combined/test/tests/axisymmetric_2d3d_solution_function/2d.i)

[GlobalParams]
  order = FIRST
  family = LAGRANGE
  displacements = 'disp_x disp_y'
[]

[Problem]
  coord_type = RZ
[]

[Mesh]
  file = 2d.e
[]

[Variables]
  [disp_x]
  []
  [disp_y]
  []
  [temp]
    initial_condition = 400
  []
[]

[AuxVariables]
  [hoop_stress]
    order = CONSTANT
    family = MONOMIAL
  []
[]

[Functions]
  [temp_inner_func]
    type = PiecewiseLinear
    xy_data = '0 400
               1 350'
  []
  [temp_outer_func]
    type = PiecewiseLinear
    xy_data = '0 400
               1 400'
  []
  [press_func]
    type = PiecewiseLinear
    xy_data = '0 15
               1 15'
  []
[]

[Kernels]
  [heat]
    type = HeatConduction
    variable = temp
  []
[]

[Physics/SolidMechanics/QuasiStatic]
  [all]
    volumetric_locking_correction = true
    add_variables = true
    incremental = true
    strain = FINITE
    eigenstrain_names = thermal_expansion
    generate_output = 'stress_xx stress_yy stress_zz vonmises_stress hydrostatic_stress'
    temperature = temp
  []
[]

[AuxKernels]
  [hoop_stress]
    type = RankTwoScalarAux
    rank_two_tensor = stress
    variable = hoop_stress
    scalar_type = HoopStress
    execute_on = timestep_end
  []
[]

[BCs]
  [no_y]
    type = DirichletBC
    variable = disp_y
    boundary = '1'
    value = 0.0
  []

  [Pressure]
    [internal_pressure]
      boundary = '4'
      factor = 1.e6
      function = press_func
    []
  []

  [t_in]
    type = FunctionDirichletBC
    variable = temp
    boundary = '4'
    function = temp_inner_func
  []

  [t_out]
    type = FunctionDirichletBC
    variable = temp
    boundary = '2'
    function = temp_outer_func
  []
[]

[Constraints]
  [disp_y]
    type = EqualValueBoundaryConstraint
    variable = disp_y
    primary = '65'
    secondary = '3'
    penalty = 1e18
  []
[]

[Materials]
  [thermal1]
    type = HeatConductionMaterial
    block = '1'
    thermal_conductivity = 25.0
    specific_heat = 490.0
    temp = temp
  []

  [elasticity_tensor]
    type = ComputeIsotropicElasticityTensor
    youngs_modulus = 193.05e9
    poissons_ratio = 0.3
  []

  [stress]
    type = ComputeFiniteStrainElasticStress
  []

  [thermal_expansion]
    type = ComputeThermalExpansionEigenstrain
    thermal_expansion_coeff = 13e-6
    stress_free_temperature = 295.00
    temperature = temp
    eigenstrain_name = thermal_expansion
  []

  [density]
    type = Density
    block = '1'
    density = 8000.0
  []
[]

[Executioner]
  type = Transient
  solve_type = 'PJFNK'

  petsc_options = '-ksp_snes_ew'
  petsc_options_iname = '-ksp_gmres_restart -pc_type -pc_hypre_type -pc_hypre_boomeramg_max_iter'
  petsc_options_value = ' 201                hypre    boomeramg      4'
  line_search = 'none'
  l_max_its = 25
  nl_max_its = 20
  nl_rel_tol = 1e-9
  l_tol = 1e-2

  start_time = 0.0
  dt = 1
  end_time = 1
  dtmin = 1
[]

[Outputs]
  file_base = 2d_out
  exodus = true
  [console]
    type = Console
    max_rows = 25
  []
[]

(modules/contact/test/tests/mortar_cartesian_lms/two_block_1st_order_constraint_lm_xy.i)

[GlobalParams]
  displacements = 'disp_x disp_y'
  volumetric_locking_correction = true
[]

theta = 0
velocity = 0.1

[Mesh]
  [left_block]
    type = GeneratedMeshGenerator
    dim = 2
    xmin = -0.35
    xmax = -0.05
    ymin = -1
    ymax = 0
    nx = 1
    ny = 3
    elem_type = QUAD4
  []
  [left_block_sidesets]
    type = RenameBoundaryGenerator
    input = left_block
    old_boundary = '0 1 2 3'
    new_boundary = '10 11 12 13'
  []
  [left_block_sideset_names]
    type = RenameBoundaryGenerator
    input = left_block_sidesets
    old_boundary = '10 11 12 13'
    new_boundary = 'l_bottom l_right l_top l_left'
  []
  [left_block_id]
    type = SubdomainIDGenerator
    input = left_block_sideset_names
    subdomain_id = 1
  []
  [right_block]
    type = GeneratedMeshGenerator
    dim = 2
    xmin = 0
    xmax = 0.3
    ymin = -1
    ymax = 0
    nx = 1
    ny = 2
    elem_type = QUAD4
  []
  [right_block_sidesets]
    type = RenameBoundaryGenerator
    input = right_block
    old_boundary = '0 1 2 3'
    new_boundary = '20 21 22 23'
  []
  [right_block_sideset_names]
    type = RenameBoundaryGenerator
    input = right_block_sidesets
    old_boundary = '20 21 22 23'
    new_boundary = 'r_bottom r_right r_top r_left'
  []
  [right_block_id]
    type = SubdomainIDGenerator
    input = right_block_sideset_names
    subdomain_id = 2
  []

  [combined_mesh]
    type = MeshCollectionGenerator
    inputs = 'left_block_id right_block_id'
  []

  [left_lower]
    type = LowerDBlockFromSidesetGenerator
    input = combined_mesh
    sidesets = '11'
    new_block_id = '10001'
    new_block_name = 'secondary_lower'
  []
  [right_lower]
    type = LowerDBlockFromSidesetGenerator
    input = left_lower
    sidesets = '23'
    new_block_id = '10000'
    new_block_name = 'primary_lower'
  []

  [rotate_mesh]
    type = TransformGenerator
    input = right_lower
    transform = ROTATE
    vector_value = '0 0 ${theta}'
  []
[]

[Variables]
  [lm_x]
    block = 'secondary_lower'
    use_dual = true
  []
  [lm_y]
    block = 'secondary_lower'
    use_dual = true
  []
[]

[Physics/SolidMechanics/QuasiStatic]
  [all]
    strain = FINITE
    incremental = true
    add_variables = true
    block = '1 2'
  []
[]

[Functions]
  [horizontal_movement]
    type = ParsedFunction
    expression = '${velocity} * t * cos(${theta}/180*pi)'
  []
  [vertical_movement]
    type = ParsedFunction
    expression = '${velocity} * t * sin(${theta}/180*pi)'
  []
[]

[BCs]
  [push_left_x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 13
    function = horizontal_movement
  []
  [fix_right_x]
    type = DirichletBC
    variable = disp_x
    boundary = 21
    value = 0.0
  []
  [fix_right_y]
    type = DirichletBC
    variable = disp_y
    boundary = 21
    value = 0.0
  []
  [push_left_y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 13
    function = vertical_movement
  []
[]

[Materials]
  [elasticity_tensor_left]
    type = ComputeIsotropicElasticityTensor
    block = 1
    youngs_modulus = 1.0e6
    poissons_ratio = 0.3
  []
  [stress_left]
    type = ComputeFiniteStrainElasticStress
    block = 1
  []

  [elasticity_tensor_right]
    type = ComputeIsotropicElasticityTensor
    block = 2
    youngs_modulus = 1.0e6
    poissons_ratio = 0.3
  []
  [stress_right]
    type = ComputeFiniteStrainElasticStress
    block = 2
  []
[]

[Constraints]
  [weighted_gap_lm]
    type = ComputeWeightedGapCartesianLMMechanicalContact
    primary_boundary = '23'
    secondary_boundary = '11'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    lm_x = lm_x
    lm_y = lm_y
    variable = lm_x # This can be anything really
    disp_x = disp_x
    disp_y = disp_y
    use_displaced_mesh = true
    correct_edge_dropping = true
  []
  [normal_x]
    type = CartesianMortarMechanicalContact
    primary_boundary = '23'
    secondary_boundary = '11'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    variable = lm_x
    secondary_variable = disp_x
    component = x
    use_displaced_mesh = true
    compute_lm_residuals = false
    correct_edge_dropping = true
  []
  [normal_y]
    type = CartesianMortarMechanicalContact
    primary_boundary = '23'
    secondary_boundary = '11'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    variable = lm_y
    secondary_variable = disp_y
    component = y
    use_displaced_mesh = true
    compute_lm_residuals = false
    correct_edge_dropping = true
  []
[]

[Preconditioning]
  [smp]
    type = SMP
    full = true
  []
[]

[Executioner]
  type = Transient
  solve_type = 'NEWTON'

  petsc_options_iname = '-pc_type -pc_factor_mat_solver_package -pc_factor_shift_type -pc_factor_shift_amount'
  petsc_options_value = 'lu        superlu_dist                  NONZERO               1e-10'

  line_search = none

  dt = 0.1
  dtmin = 0.1
  end_time = 1.0

  l_max_its = 100

  nl_max_its = 20
  nl_rel_tol = 1e-6
  snesmf_reuse_base = false
[]

[Outputs]
  exodus = false
  file_base = './output/1st_order_${theta}_degree_out'
  [comp]
    type = CSV
    show = 'tot_lin_it tot_nonlin_it'
    execute_on = 'FINAL'
  []
[]

[Postprocessors]
  [avg_disp_x]
    type = ElementAverageValue
    variable = disp_x
    block = '1 2'
  []
  [avg_disp_y]
    type = ElementAverageValue
    variable = disp_y
    block = '1 2'
  []
  [max_disp_x]
    type = ElementExtremeValue
    variable = disp_x
    block = '1 2'
  []
  [max_disp_y]
    type = ElementExtremeValue
    variable = disp_y
    block = '1 2'
  []
  [min_disp_x]
    type = ElementExtremeValue
    variable = disp_x
    block = '1 2'
    value_type = min
  []
  [min_disp_y]
    type = ElementExtremeValue
    variable = disp_y
    block = '1 2'
    value_type = min
  []
  [num_lin_it]
    type = NumLinearIterations
  []
  [num_nonlin_it]
    type = NumNonlinearIterations
  []
  [tot_lin_it]
    type = CumulativeValuePostprocessor
    postprocessor = num_lin_it
  []
  [tot_nonlin_it]
    type = CumulativeValuePostprocessor
    postprocessor = num_nonlin_it
  []
[]

(modules/contact/test/tests/kinematic-and-scaling/bouncing-block-kinematic.i)

starting_point = 2e-1
offset = 1e-2

[GlobalParams]
  displacements = 'disp_x disp_y'
[]

[Mesh]
  file = long-bottom-block-no-lower-d-coarse.e
[]

[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
[]

[ICs]
  [./disp_y]
    block = 2
    variable = disp_y
    value = ${fparse starting_point + offset}
    type = ConstantIC
  [../]
[]

[Physics/SolidMechanics/QuasiStatic]
  [all]
    add_variables = false
    use_automatic_differentiation = true
    strain = SMALL
  []
[]

[Materials]
  [elasticity]
    type = ADComputeIsotropicElasticityTensor
    youngs_modulus = 1e3
    poissons_ratio = 0.3
  []
  [stress]
    type = ADComputeLinearElasticStress
  []
[]

[Contact]
  [leftright]
    secondary = 10
    primary = 20
    model = frictionless
    formulation = kinematic
    penalty = 1e3
    normal_smoothing_distance = 0.1
  []
[]

[BCs]
  [./botx]
    type = DirichletBC
    variable = disp_x
    boundary = 40
    value = 0.0
  [../]
  [./boty]
    type = DirichletBC
    variable = disp_y
    boundary = 40
    value = 0.0
  [../]
  [./topy]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 30
    function = '${starting_point} * cos(2 * pi / 40 * t) + ${offset}'
  [../]
  [./leftx]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 50
    function = '1e-2 * t'
  [../]
[]

[Executioner]
  type = Transient
  end_time = 100
  dt = 5
  dtmin = 5
  solve_type = 'PJFNK'
  petsc_options = '-snes_converged_reason -ksp_converged_reason'
  petsc_options_iname = '-pc_type -pc_hypre_type  -ksp_gmres_restart'
  petsc_options_value = 'hypre    boomeramg       200'
  l_max_its = 200
  nl_max_its = 20
  line_search = 'none'
  automatic_scaling = true
  verbose = true
  scaling_group_variables = 'disp_x disp_y'
  resid_vs_jac_scaling_param = 1
[]

[Debug]
  show_var_residual_norms = true
[]

[Outputs]
  [exo]
    type = Exodus
  []
[]

[Preconditioning]
  [./smp]
    type = SMP
    full = true
  [../]
[]

[Postprocessors]
  [nl]
    type = NumNonlinearIterations
  []
  [lin]
    type = NumLinearIterations
  []
  [tot_nl]
    type = CumulativeValuePostprocessor
    postprocessor = nl
  []
  [tot_lin]
    type = CumulativeValuePostprocessor
    postprocessor = lin
  []
[]

(test/tests/time_integrators/multiple-integrators/test.i)

[Mesh]
  type = GeneratedMesh
  dim = 2
  nx = 10
  ny = 10
[]

[Variables]
  [u][]
  [v][]
[]

[Kernels]
  [timeu]
    type = TimeDerivative
    variable = u
  []
  [timev]
    type = TimeDerivative
    variable = v
  []
  [diffu]
    type = Diffusion
    variable = u
  []
  [diffv]
    type = Diffusion
    variable = v
  []
  [forceu]
    type = BodyForce
    variable = u
    function = force
  []
  [forcev]
    type = BodyForce
    variable = v
    function = force
  []
[]

[Functions]
  [exact]
    type = ParsedFunction
    expression = 't^3*x*y'
  []
  [force]
    type = ParsedFunction
    expression = '3*x*y*t^2'
  []
[]

[BCs]
  [allu]
    type = FunctionDirichletBC
    variable = u
    function = exact
    boundary = 'left right top bottom'
  []
  [allv]
    type = FunctionDirichletBC
    variable = v
    function = exact
    boundary = 'left right top bottom'
  []
[]

[Executioner]
  type = Transient
  solve_type = 'NEWTON'
  petsc_options_iname = '-pc_type'
  petsc_options_value = 'hypre'
  dt = 1
  end_time = 3
  [TimeIntegrators]
    [cn]
      type = CrankNicolson
      variables = 'u'
    []
    [ie]
      type = ImplicitEuler
      variables = 'v'
    []
  []
[]

[Postprocessors]
  [L2u]
    type = ElementL2Error
    function = exact
    variable = u
  []
  [L2v]
    type = ElementL2Error
    function = exact
    variable = v
  []
[]

[Outputs]
  csv = true
[]

(modules/solid_mechanics/test/tests/mohr_coulomb/small_deform5.i)

# apply repeated stretches in x z directions, and smaller stretches along the y direction,
# so that sigma_I = sigma_II,
# which means that lode angle = 30deg.
# The allows yield surface in meridional plane to be mapped out
# Use 'cap' smoothing


[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]


[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
[]

[Kernels]
  [SolidMechanics]
    displacements = 'disp_x disp_y disp_z'
  [../]
[]


[BCs]
  [./x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'front back'
    function = '1E-6*x*t'
  [../]
  [./y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'front back'
    function = '0.9E-6*y*sin(t)'
  [../]
  [./z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'front back'
    function = '1E-6*z*t'
  [../]
[]

[AuxVariables]
  [./stress_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./mc_int]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./yield_fcn]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./iter]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]

[AuxKernels]
  [./stress_xx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xx
    index_i = 0
    index_j = 0
  [../]
  [./stress_xy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xy
    index_i = 0
    index_j = 1
  [../]
  [./stress_xz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xz
    index_i = 0
    index_j = 2
  [../]
  [./stress_yy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yy
    index_i = 1
    index_j = 1
  [../]
  [./stress_yz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yz
    index_i = 1
    index_j = 2
  [../]
  [./stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zz
    index_i = 2
    index_j = 2
  [../]
  [./mc_int_auxk]
    type = MaterialStdVectorAux
    index = 0
    property = plastic_internal_parameter
    variable = mc_int
  [../]
  [./yield_fcn_auxk]
    type = MaterialStdVectorAux
    index = 0
    property = plastic_yield_function
    variable = yield_fcn
  [../]
  [./iter_auxk]
    type = MaterialRealAux
    property = plastic_NR_iterations
    variable = iter
  [../]
[]

[Postprocessors]
  [./s_xx]
    type = PointValue
    point = '0 0 0'
    variable = stress_xx
  [../]
  [./s_xy]
    type = PointValue
    point = '0 0 0'
    variable = stress_xy
  [../]
  [./s_xz]
    type = PointValue
    point = '0 0 0'
    variable = stress_xz
  [../]
  [./s_yy]
    type = PointValue
    point = '0 0 0'
    variable = stress_yy
  [../]
  [./s_yz]
    type = PointValue
    point = '0 0 0'
    variable = stress_yz
  [../]
  [./s_zz]
    type = PointValue
    point = '0 0 0'
    variable = stress_zz
  [../]
  [./internal]
    type = PointValue
    point = '0 0 0'
    variable = mc_int
  [../]
  [./f]
    type = PointValue
    point = '0 0 0'
    variable = yield_fcn
  [../]
  [./iter]
    type = PointValue
    point = '0 0 0'
    variable = iter
  [../]
[]

[UserObjects]
  [./mc_coh]
    type = SolidMechanicsHardeningConstant
    value = 10
  [../]
  [./mc_phi]
    type = SolidMechanicsHardeningConstant
    value = 50
    convert_to_radians = true
  [../]
  [./mc_psi]
    type = SolidMechanicsHardeningExponential
    value_0 = 0
    value_residual = 0.8726646 # 50deg
    rate = 3000.0
  [../]
  [./mc]
    type = SolidMechanicsPlasticMohrCoulomb
    cohesion = mc_coh
    friction_angle = mc_phi
    dilation_angle = mc_psi
    tip_scheme = cap
    mc_tip_smoother = 0
    cap_start = 3
    cap_rate = 0.8
    mc_edge_smoother = 20
    yield_function_tolerance = 1E-8
    internal_constraint_tolerance = 1E-9
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    block = 0
    fill_method = symmetric_isotropic
    C_ijkl = '0 1E7'
  [../]
  [./strain]
    type = ComputeFiniteStrain
    block = 0
    displacements = 'disp_x disp_y disp_z'
  [../]
  [./mc]
    type = ComputeMultiPlasticityStress
    block = 0
    ep_plastic_tolerance = 1E-9
    plastic_models = mc
    debug_fspb = crash
  [../]
[]


[Executioner]
  end_time = 150
  dt = 5
  type = Transient
[]


[Outputs]
  file_base = small_deform5
  exodus = false
  [./csv]
    type = CSV
    [../]
[]

(modules/contact/test/tests/multiple_contact_pairs/multiple_pairs_mortar_friction.i)

starting_point = 2e-1
offset = 1e-2

[GlobalParams]
  displacements = 'disp_x disp_y'
[]

[Mesh]
  [file]
    type = FileMeshGenerator
    file = multiple_pairs.e
  []
[]

[Physics/SolidMechanics/QuasiStatic]
  [all]
    add_variables = true
    strain = FINITE
    generate_output = 'stress_xx'
    block = '1 2 3'
  []
[]

[Materials]
  [stiffStuff]
    type = ComputeIsotropicElasticityTensor
    block = '1 2 3'
    youngs_modulus = 1e6
    poissons_ratio = 0.3
  []
  [stiffStuff_stress]
    type = ComputeFiniteStrainElasticStress
    block = '1 2 3'
  []
[]

[ICs]
  [disp_y]
    block = '2 3'
    variable = disp_y
    value = '${fparse starting_point + offset}'
    type = ConstantIC
  []
[]

[Contact]
  [first_pair]
    primary = '20'
    secondary = '10 '
    model = coulomb
    formulation = mortar
    c_normal = 1e+04
    c_tangential = 1.0e2
    friction_coefficient = 0.2
    tangential_lm_scaling = 1.0e-6
    normal_lm_scaling = 1.0e-6
  []
  [second_pair]
    primary = '20'
    secondary = '101'
    model = coulomb
    formulation = mortar
    c_normal = 1e+04
    c_tangential = 1.0e2
    friction_coefficient = 0.2
    tangential_lm_scaling = 1.0e-6
    normal_lm_scaling = 1.0e-6
  []
[]

[BCs]
  [botx]
    type = DirichletBC
    variable = disp_x
    preset = false
    boundary = 40
    value = 0.0
  []
  [boty]
    type = DirichletBC
    variable = disp_y
    preset = false
    boundary = 40
    value = 0.0
  []
  [topy]
    type = FunctionDirichletBC
    variable = disp_y
    preset = false
    boundary = '30 301'
    function = '${starting_point} * cos(2 * pi / 40 * t) + ${offset}'
  []
  [leftx]
    type = FunctionDirichletBC
    variable = disp_x
    preset = false
    boundary = '50 501'
    function = '1e-2 * t'
  []
[]

[Executioner]
  type = Transient
  dt = 2.0
  dtmin = .1
  solve_type = 'PJFNK'
  petsc_options = '-snes_converged_reason -ksp_converged_reason -pc_svd_monitor '
                  '-snes_linesearch_monitor'
  petsc_options_iname = '-pc_type -pc_factor_shift_type -pc_factor_shift_amount -mat_mffd_err'
  petsc_options_value = 'lu       NONZERO               1e-15                   1e-5'
  l_max_its = 30
  nl_max_its = 20
  nl_abs_tol = 1e-7
  line_search = 'none'
  end_time = 18
  snesmf_reuse_base = false
[]

[Debug]
  show_var_residual_norms = true
[]

[Outputs]
  exodus = true
[]

[Preconditioning]
  [smp]
    type = SMP
    full = true
  []
[]

[Postprocessors]
  active = 'num_nl cumulative'
  [num_nl]
    type = NumNonlinearIterations
  []
  [cumulative]
    type = CumulativeValuePostprocessor
    postprocessor = num_nl
  []
[]

[VectorPostprocessors]
  [cont_press]
    type = NodalValueSampler
    variable = contact_pressure
    boundary = '10 101'
    sort_by = x
    execute_on = NONLINEAR
  []
[]

(modules/solid_mechanics/test/tests/rate_independent_cyclic_hardening/nonlin_kinharden_nonsymmetric_strain_controlled.i)

# This simulation uses the piece-wise strain hardening model
# with the Finite strain formulation.
#
# This test applies a repeated displacement loading and unloading condition on
# the top in the y direction. The material deforms elastically until the
# loading reaches the initial yield point and then plastic deformation starts.
#
# The yield surface begins to translate as stress increases, but its size
# remains the same. The backstress evolves with plastic strain to capture
# this translation. Upon unloading, the stress reverses direction, and material
# first behaves elastically. However, due to the translation of the yield surface
# the yield point in the reverse direction is lower.
#
# If the reverse load is strong enough, the material will yield in the reverse
# direction, which models the Bauschinger effect(reduction in yield stress in
# the opposite direction).
#
# This test is based on the similar response obtained for a prescribed non symmetrical
# stress path in Besson, Jacques, et al. Non-linear mechanics of materials. Vol. 167.
# Springer Science & Business Media, 2009  pg. 89 fig. 3.6(b). This SolidMechanics code
# matches the SolidMechanics solution.

[Mesh]
  file = 1x1x1cube.e
[]

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]

[Functions]
  [top_pull]
    type = PiecewiseLinear
    xy_data = '0 0
    0.025 0.0025
    0.05 0.005
    0.1 0.01
    0.15 0.005
    0.2 0
    0.25 0.005
    0.3 0.01
    0.35 0.005
    0.45 0
    0.5 0.005
    0.55 0.01
    0.65 0.005
    0.7 0
    0.75 0.005
    0.8 0.01
    0.85 0.005
    0.9 0
    0.95 0.005
    1 0.01
    1.05 0.005
    1.1 0
    1.15 0.005
    1.2 0.01
    1.25 0.005
    1.3 0
    1.35 0.005
    1.4 0.01
    1.45 0.005
    1.5 0'
  []
[]

[Physics]
  [SolidMechanics]
    [QuasiStatic]
      [all]
        strain = SMALL
        incremental = true
        add_variables = true
        generate_output = 'strain_yy stress_yy plastic_strain_xx plastic_strain_yy plastic_strain_zz'
      []
    []
  []
[]

[BCs]
  [y_pull_function]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 5
    function = top_pull
  []
  [x_bot]
    type = DirichletBC
    variable = disp_x
    boundary = 4
    value = 0.0
  []
  [y_bot]
    type = DirichletBC
    variable = disp_y
    boundary = 3
    value = 0.0
  []
  [z_bot]
    type = DirichletBC
    variable = disp_z
    boundary = 2
    value = 0.0
  []
[]

[Materials]
  [elasticity_tensor]
    type = ComputeIsotropicElasticityTensor
    youngs_modulus = 2e5
    poissons_ratio = 0.0
  []
  [kinematic_plasticity]
    type = CombinedNonlinearHardeningPlasticity
    yield_stress = 100
    isotropic_hardening_constant = 0
    q = 0
    b = 0
    kinematic_hardening_modulus = 30000
    gamma = 200
  []
  [radial_return_stress]
    type = ComputeMultipleInelasticStress
    tangent_operator = elastic
    inelastic_models = 'kinematic_plasticity'
  []
[]

[Executioner]
  type = Transient

  solve_type = NEWTON

  petsc_options = '-snes_ksp_ew'
  petsc_options_iname = '-ksp_gmres_restart -pctype'
  petsc_options_value = '101                lu'

  line_search = 'none'

  l_max_its = 50
  nl_max_its = 50
  nl_rel_tol = 1e-12
  nl_abs_tol = 1e-10
  l_tol = 1e-9

  start_time = 0.0
  end_time = 0.55
  dt = 0.005
  dtmin = 0.001
[]

[Postprocessors]
  [stress_yy]
    type = ElementAverageValue
    variable = stress_yy
  []
  [strain_yy]
    type = ElementAverageValue
    variable = strain_yy
  []
[]

[Outputs]
  csv = true
[]

(test/tests/multiapps/restart/sub2.i)

[Mesh]
  type = GeneratedMesh
  dim = 1
  xmin = 0
  xmax = 1
  nx = 10
[]

[Functions]
  [./u_fn]
    type = ParsedFunction
    expression = t*x
  [../]
  [./ffn]
    type = ParsedFunction
    expression = x
  [../]
[]

[Variables]
  [./u]
  [../]
[]

[Kernels]
  [./diff]
    type = Diffusion
    variable = u
  [../]
  [./td]
    type = TimeDerivative
    variable = u
  [../]
  [./fn]
    type = BodyForce
    variable = u
    function = ffn
  [../]
[]

[BCs]
  [./left]
    type = DirichletBC
    variable = u
    boundary = left
    value = 0
  [../]
  [./right]
    type = FunctionDirichletBC
    variable = u
    boundary = right
    function = u_fn
  [../]
[]

[Executioner]
  type = Transient
  num_steps = 5
  dt = 0.1
  solve_type = 'PJFNK'
[]

[Outputs]
  exodus = true
[]

(modules/solid_mechanics/test/tests/lagrangian/cartesian/total/convergence/2D/dirichlet.i)

# Simple 2D plane strain test

[GlobalParams]
  displacements = 'disp_x disp_y'
  large_kinematics = true
[]

[Variables]
  [disp_x]
  []
  [disp_y]
  []
[]

[Mesh]
  [msh]
    type = GeneratedMeshGenerator
    dim = 2
    nx = 4
    ny = 4
  []
[]

[Kernels]
  [sdx]
    type = TotalLagrangianStressDivergence
    variable = disp_x
    component = 0
  []
  [sdy]
    type = TotalLagrangianStressDivergence
    variable = disp_y
    component = 1
  []
[]

[Functions]
  [pullx]
    type = ParsedFunction
    expression = '0.5 * t'
  []
  [pully]
    type = ParsedFunction
    expression = '-0.3 * t'
  []
[]

[BCs]
  [leftx]
    type = DirichletBC
    preset = true
    boundary = left
    variable = disp_x
    value = 0.0
  []
  [lefty]
    type = DirichletBC
    preset = true
    boundary = left
    variable = disp_y
    value = 0.0
  []
  [pull_x]
    type = FunctionDirichletBC
    boundary = right
    variable = disp_x
    function = pullx
    preset = true
  []
  [pull_y]
    type = FunctionDirichletBC
    boundary = top
    variable = disp_y
    function = pully
    preset = true
  []
[]

[Materials]
  [elastic_tensor]
    type = ComputeIsotropicElasticityTensor
    youngs_modulus = 100000.0
    poissons_ratio = 0.3
  []
  [compute_stress]
    type = ComputeLagrangianLinearElasticStress
  []
  [compute_strain]
    type = ComputeLagrangianStrain
  []
[]

[Preconditioning]
  [smp]
    type = SMP
    full = true
  []
[]

[Executioner]
  type = Transient

  solve_type = 'newton'
  line_search = none

  petsc_options_iname = '-pc_type'
  petsc_options_value = 'lu'

  l_max_its = 2
  l_tol = 1e-14
  nl_max_its = 15
  nl_rel_tol = 1e-10
  nl_abs_tol = 1e-12

  start_time = 0.0
  dt = 0.2
  dtmin = 0.2
  end_time = 1.0
[]

[Postprocessors]
  [nonlin]
    type = NumNonlinearIterations
  []
[]

[Outputs]
  exodus = false
  csv = true
[]

(test/tests/outputs/debug/show_execution_auxkernels.i)

[Mesh]
  type = GeneratedMesh
  dim = 2
  xmin = 0
  xmax = 1
  ymin = 0
  ymax = 1
  nx = 10
  ny = 10
  elem_type = QUAD4
[]

[Debug]
  show_execution_order = 'ALWAYS'
[]

[AuxVariables]
  [a]
    initial_condition = 1
  []
  [b]
    initial_condition = 2
  []
  [c]
    initial_condition = 3
  []

  [a_elem]
    order = CONSTANT
    family = MONOMIAL
    initial_condition = 1
  []
  [b_elem]
    order = CONSTANT
    family = MONOMIAL
    initial_condition = 2
  []
  [c_elem]
    order = CONSTANT
    family = MONOMIAL
    initial_condition = 3
  []
  [d_elem]
    order = CONSTANT
    family = MONOMIAL
    initial_condition = 3
  []
[]

[Variables]
  [u]
    order = FIRST
    family = LAGRANGE
  []
[]

[Functions]
  [exact_fn]
    type = ParsedFunction
    expression = t
  []

  [a_fn]
    type = ParsedFunction
    expression = t
  []
  [b_fn]
    type = ParsedFunction
    expression = (4-t)/2
  []
[]

[AuxKernels]
  # Nodal
  # this one needs a and b set, should run last
  [c_saux]
    type = QuotientAux
    variable = c
    numerator = a
    denominator = b
    execute_on = 'initial timestep_end'
  []
  # setting b requires a
  [b_saux]
    type = ProjectionAux
    variable = b
    v = a
    execute_on = 'linear timestep_end'
  []

  # Elements
  # this one needs a and b set, should run last
  [c_saux_elem]
    type = QuotientAux
    variable = c_elem
    numerator = a_elem
    denominator = b_elem
    execute_on = 'initial timestep_end'
  []
  # setting b requires a
  [b_saux_elem]
    type = ProjectionAux
    variable = b_elem
    v = a_elem
    execute_on = 'linear timestep_end'
  []

  # boundary auxkernel
  [real_property]
    type = MaterialRealAux
    variable = d_elem
    property = 3
    boundary = 'top bottom'
  []
[]

[Kernels]
  [ie]
    type = TimeDerivative
    variable = u
  []

  [diff]
    type = Diffusion
    variable = u
  []
[]

[BCs]
  [all]
    type = FunctionDirichletBC
    variable = u
    boundary = '0 1 2 3'
    function = exact_fn
  []
[]

[Executioner]
  type = Transient
  scheme = 'implicit-euler'

  solve_type = 'PJFNK'
  start_time = 0.0
  num_steps = 1
  dt = 1
[]

(python/peacock/tests/input_tab/InputTree/gold/transient.i)

# ##########################################################
# This is a simple test with a time-dependent problem
# demonstrating the use of a "Transient" Executioner.
#
# @Requirement F1.10
# ##########################################################
[Mesh]
  type = GeneratedMesh
  dim = 2
  xmin = -1
  xmax = 1
  ymin = -1
  ymax = 1
  nx = 10
  ny = 10
  elem_type = QUAD4
[]

[Variables]
  [u]
    order = FIRST
    family = LAGRANGE
    [InitialCondition]
      type = ConstantIC
      value = 0
    []
  []
[]

[Functions]
  [forcing_fn]
    # dudt = 3*t^2*(x^2 + y^2)
    type = ParsedFunction
    expression = '3*t*t*((x*x)+(y*y))-(4*t*t*t)'
  []
  [exact_fn]
    type = ParsedFunction
    expression = 't*t*t*((x*x)+(y*y))'
  []
[]

[Kernels]
  [ie]
    type = TimeDerivative
    variable = u
  []
  [diff]
    type = Diffusion
    variable = u
  []
  [ffn]
    type = BodyForce
    variable = u
    function = forcing_fn
  []
[]

[BCs]
  inactive = 'left right'
  [all]
    type = FunctionDirichletBC
    variable = u
    boundary = '0 1 2 3'
    function = exact_fn
  []
  [left]
    type = DirichletBC
    variable = u
    boundary = '3'
    value = 0
  []
  [right]
    type = DirichletBC
    variable = u
    boundary = '1'
    value = 1
  []
[]

[Postprocessors]
  [l2_err]
    type = ElementL2Error
    variable = 'u'
    function = exact_fn
  []
  [dt]
    type = TimestepSize
  []
[]

[Executioner]
  # Preconditioned JFNK (default)
  type = Transient
  scheme = implicit-euler
  solve_type = PJFNK
  start_time = 0.0
  num_steps = 5
  dt = 0.1
[]

[Outputs]
  execute_on = 'timestep_end'
  file_base = out_transient
  exodus = true
[]

(modules/solid_mechanics/test/tests/drucker_prager/small_deform2_native.i)

# apply repeated stretches in x, y and z directions, so that mean_stress = 0
# This maps out the yield surface in the octahedral plane for zero mean stress

[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]


[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
[]

[Kernels]
  [SolidMechanics]
    displacements = 'disp_x disp_y disp_z'
  [../]
[]


[BCs]
  [./x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'front back'
    function = '-1.5E-6*x+2E-6*x*sin(t)'
  [../]
  [./y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'front back'
    function = '2E-6*y*sin(2*t)'
  [../]
  [./z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'front back'
    function = '-2E-6*z*(sin(t)+sin(2*t))'
  [../]
[]

[AuxVariables]
  [./stress_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./yield_fcn]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]

[AuxKernels]
  [./stress_xx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xx
    index_i = 0
    index_j = 0
  [../]
  [./stress_xy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xy
    index_i = 0
    index_j = 1
  [../]
  [./stress_xz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xz
    index_i = 0
    index_j = 2
  [../]
  [./stress_yy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yy
    index_i = 1
    index_j = 1
  [../]
  [./stress_yz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yz
    index_i = 1
    index_j = 2
  [../]
  [./stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zz
    index_i = 2
    index_j = 2
  [../]
  [./yield_fcn_auxk]
    type = MaterialStdVectorAux
    index = 0
    property = plastic_yield_function
    variable = yield_fcn
  [../]
[]

[Postprocessors]
  [./s_xx]
    type = PointValue
    point = '0 0 0'
    variable = stress_xx
  [../]
  [./s_xy]
    type = PointValue
    point = '0 0 0'
    variable = stress_xy
  [../]
  [./s_xz]
    type = PointValue
    point = '0 0 0'
    variable = stress_xz
  [../]
  [./s_yy]
    type = PointValue
    point = '0 0 0'
    variable = stress_yy
  [../]
  [./s_yz]
    type = PointValue
    point = '0 0 0'
    variable = stress_yz
  [../]
  [./s_zz]
    type = PointValue
    point = '0 0 0'
    variable = stress_zz
  [../]
  [./f]
    type = PointValue
    point = '0 0 0'
    variable = yield_fcn
  [../]
  [./f0]
    type = PointValue
    point = '0 0 0'
    variable = yield_fcn
  [../]
  [./f1]
    type = PointValue
    point = '0 0 0'
    variable = yield_fcn
  [../]
[]

[UserObjects]
  [./mc_coh]
    type = SolidMechanicsHardeningConstant
    value = 10
  [../]
  [./mc_phi]
    type = SolidMechanicsHardeningConstant
    value = 20
    convert_to_radians = true
  [../]
  [./mc_psi]
    type = SolidMechanicsHardeningConstant
    value = 0
  [../]
  [./mc]
    type = SolidMechanicsPlasticDruckerPragerHyperbolic
    mc_cohesion = mc_coh
    mc_friction_angle = mc_phi
    mc_dilation_angle = mc_psi
    smoother = 4
    mc_interpolation_scheme = native
    yield_function_tolerance = 1E-5
    internal_constraint_tolerance = 1E-11
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    block = 0
    fill_method = symmetric_isotropic
    C_ijkl = '0 1E7'
  [../]
  [./strain]
    type = ComputeIncrementalStrain
    block = 0
    displacements = 'disp_x disp_y disp_z'
  [../]
  [./mc]
    type = ComputeMultiPlasticityStress
    block = 0
    ep_plastic_tolerance = 1E-12
    plastic_models = mc
    debug_fspb = crash
  [../]
[]


[Executioner]
  end_time = 100
  dt = 1
  type = Transient
[]


[Outputs]
  file_base = small_deform2_native
  exodus = false
  [./csv]
    type = CSV
    [../]
[]

(modules/contact/test/tests/glued/glued_contact_mechanical_constraint_test.i)

# This is a mechanical constraint (contact formulation) version of glued_contact_mechanical_constraint.i
[Mesh]
  file = glued_contact_test.e
[]

[GlobalParams]
  volumetric_locking_correction = true
  displacements = 'disp_x disp_y disp_z'
[]

[Functions]
  [./up]
    type = PiecewiseLinear
    x = '0 1'
    y = '0 0.5001'
  [../]

  [./lateral]
    type = PiecewiseLinear
    x = '0 1 2 3'
    y = '0 0 1 0'
    scale_factor = 0.5
  [../]
[]

[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
[]

[Kernels]
  [./TensorMechanics]
    use_displaced_mesh = true
  [../]
[]

[Contact]
  [./dummy_name]
    primary = 2
    secondary = 3
    penalty = 1e6
    model = glued
    formulation = kinematic
  [../]
[]

[BCs]

  [./bottom_lateral]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 1
    function = lateral
  [../]

  [./bottom_up]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 1
    function = up
  [../]

  [./bottom_out]
    type = DirichletBC
    variable = disp_z
    boundary = 1
    value = 0.0
  [../]

  [./top]
    type = DirichletBC
    variable = disp_y
    boundary = 4
    value = 0.0
  [../]
[]

[Materials]
  [./stiffStuff1]
    type = ComputeIsotropicElasticityTensor
    block = '1'
    youngs_modulus = 1e6
    poissons_ratio = 0.3
  [../]
  [./stiffStuff1_strain]
    type= ComputeFiniteStrain
    block = '1'
  [../]
  [./stiffStuff1_stress]
    type = ComputeFiniteStrainElasticStress
    block = '1'
  [../]

  [./stiffStuff2]
    type = ComputeIsotropicElasticityTensor
    block = '2'
    youngs_modulus = 1e6
    poissons_ratio = 0.3
  [../]
  [./stiffStuff2_strain]
    type= ComputeFiniteStrain
    block = '2'
  [../]
  [./stiffStuff2_stress]
    type = ComputeFiniteStrainElasticStress
    block = '2'
  [../]
[]

[Executioner]
  type = Transient
  solve_type = 'PJFNK'

  #petsc_options_iname = '-pc_type -pc_hypre_type -snes_type -snes_ls -snes_linesearch_type -ksp_gmres_restart'
  #petsc_options_value = 'hypre    boomeramg      ls         basic    basic                    101'
  petsc_options_iname = '-pc_type -ksp_gmres_restart'
  petsc_options_value = 'ilu      101'

  line_search = 'none'

  nl_abs_tol = 1e-8
  nl_rel_tol = 1e-8
  l_tol = 1e-4

  l_max_its = 100
  nl_max_its = 10
  dt = 0.1
  num_steps = 30

  [./Predictor]
    type = SimplePredictor
    scale = 1.0
  [../]
[]

[Postprocessors]
  active = ''
  [./resid]
    type = Residual
  [../]
  [./iters]
    type = NumNonlinearIterations
  [../]
[]

[Outputs]
  file_base = mechanical_constraint_out
  exodus = true
[]

(test/tests/auxkernels/time_integration/time_integration.i)

# This test covers the usage of the VariableTimeIntegrationAux
# kernel. Here we test three different schemes for integrating a field
# variable in time.  Midpoint, Trapezoidal, and Simpson's rule are
# used.  For this test, we use a manufactured solution and we compare
# the Trapezoidal and Simpson's rule, which must be exact for this
# exact solution, which is a linear function of time.
#
# The set up problem is
#
#  du/dt - Laplacian(u) = Q
#
# with exact solution: u = t*(x*x+y*y).
[Mesh]
  type = GeneratedMesh
  dim = 2
  elem_type = QUAD9
  xmin = 0
  xmax = 1
  ymin = 0
  ymax = 1
  nx = 10
  ny = 10
[]

[Functions]
  [./dts]
    type = PiecewiseLinear
    x = '0.01 0.1'
    y = '0.005 0.05'
  [../]
[]

[Variables]
  [./u]
    initial_condition = 0.0
    family = LAGRANGE
    order = SECOND
  [../]
[]

[Kernels]
  [./diff]
     type = Diffusion
     variable = u
  [../]
  [./timederivative]
     type = TimeDerivative
     variable = u
  [../]
  [./sourceterm]
     type = BodyForce
     variable = u
     function = Source
  [../]
[]

[AuxVariables]
  [./v_midpoint]
  [../]
  [./v_trapazoid]
  [../]
  [./v_simpson]
  [../]
[]

[AuxKernels]
  [./MidpointTimeIntegrator]
    type = VariableTimeIntegrationAux
    variable_to_integrate = u
    variable = v_midpoint
    order = 1
  [../]
  [./TrapazoidalTimeIntegrator]
    type = VariableTimeIntegrationAux
    variable_to_integrate = u
    variable = v_trapazoid
    order = 2
  [../]
  [./SimpsonsTimeIntegrator]
    type = VariableTimeIntegrationAux
    variable_to_integrate = u
    variable = v_simpson
    order = 3
  [../]
[]

[BCs]
 [./RightBC]
    type = FunctionDirichletBC
    variable = u
    function = RightBC
    boundary = 'right'
 [../]
 [./LeftBC]
    type = FunctionDirichletBC
    variable = u
    function = LeftBC
    boundary = 'left'
 [../]
 [./TopBC]
    type = FunctionDirichletBC
    variable = u
    function = TopBC
    boundary = 'top'
 [../]
 [./BottomBC]
    type = FunctionDirichletBC
    variable = u
    function = BottomBC
    boundary = 'bottom'
 [../]
[]

[Functions]
 [./Soln]
    type = ParsedFunction
    expression = 't*(x*x+y*y)'
 [../]
 [./Source]
    type = ParsedFunction
    expression = '(x*x + y*y) - 4*t'
 [../]
 [./TopBC]
    type = ParsedFunction
    expression = 't*(x*x+1)'
 [../]
 [./BottomBC]
    type = ParsedFunction
    expression = 't*x*x'
 [../]
 [./RightBC]
   type = ParsedFunction
   expression = 't*(y*y+1)'
 [../]
 [./LeftBC]
    type = ParsedFunction
    expression = 't*y*y'
  [../]
[]
[Postprocessors]
  [./l2_error]
    type = NodalL2Error
    variable = u
    function = Soln
  [../]
[]

[Executioner]
  type = Transient

  end_time = 0.1
#  dt = 0.1
#  num_steps = 10
  [./TimeStepper]
     type = FunctionDT
     function = dts
  [../]

  nl_abs_tol = 1.e-15
[]

[Outputs]
  execute_on = 'timestep_end'
  exodus = true
[]

(modules/contact/test/tests/mortar_tm/2drz/frictionless_second/finite.i)

E_block = 1e7
E_plank = 1e7
elem = QUAD9
order = SECOND
name = 'finite'

[Problem]
  coord_type = RZ
[]

[Mesh]
  patch_size = 80
  patch_update_strategy = auto
  [plank]
    type = GeneratedMeshGenerator
    dim = 2
    xmin = 0
    xmax = 0.6
    ymin = 0
    ymax = 10
    nx = 2
    ny = 33
    elem_type = ${elem}
    boundary_name_prefix = plank
  []
  [plank_id]
    type = SubdomainIDGenerator
    input = plank
    subdomain_id = 1
  []

  [block]
    type = GeneratedMeshGenerator
    dim = 2
    xmin = 0.61
    xmax = 1.21
    ymin = 9.2
    ymax = 10.0
    nx = 3
    ny = 4
    elem_type = ${elem}
    boundary_name_prefix = block
    boundary_id_offset = 10
  []
  [block_id]
    type = SubdomainIDGenerator
    input = block
    subdomain_id = 2
  []

  [combined]
    type = MeshCollectionGenerator
    inputs = 'plank_id block_id'
  []
  [block_rename]
    type = RenameBlockGenerator
    input = combined
    old_block = '1 2'
    new_block = 'plank block'
  []
[]

[GlobalParams]
  displacements = 'disp_x disp_y'
[]

[Variables]
  [disp_x]
    order = ${order}
    block = 'plank block'
    scaling = '${fparse 2.0 / (E_plank + E_block)}'
  []
  [disp_y]
    order = ${order}
    block = 'plank block'
    scaling = '${fparse 2.0 / (E_plank + E_block)}'
  []
[]

[Physics/SolidMechanics/QuasiStatic]
  [block]
    strain = FINITE
    generate_output = 'stress_xx stress_yy stress_zz vonmises_stress hydrostatic_stress strain_xx '
                      'strain_yy strain_zz'
    block = 'block'
  []
  [plank]
    strain = FINITE
    generate_output = 'stress_xx stress_yy stress_zz vonmises_stress hydrostatic_stress strain_xx '
                      'strain_yy strain_zz'
    block = 'plank'
    eigenstrain_names = 'swell'
  []
[]

[Contact]
  [frictionless]
    primary = plank_right
    secondary = block_left
    formulation = mortar
  []
[]

[BCs]
  [left_x]
    type = DirichletBC
    variable = disp_x
    preset = false
    boundary = plank_left
    value = 0.0
  []
  [left_y]
    type = DirichletBC
    variable = disp_y
    preset = false
    boundary = plank_bottom
    value = 0.0
  []
  [right_x]
    type = DirichletBC
    variable = disp_x
    preset = false
    boundary = block_right
    value = 0
  []
  [right_y]
    type = FunctionDirichletBC
    variable = disp_y
    preset = false
    boundary = block_right
    function = '-t'
  []
[]

[Materials]
  [plank]
    type = ComputeIsotropicElasticityTensor
    block = 'plank'
    poissons_ratio = 0.3
    youngs_modulus = ${E_plank}
  []
  [block]
    type = ComputeIsotropicElasticityTensor
    block = 'block'
    poissons_ratio = 0.3
    youngs_modulus = ${E_block}
  []
  [stress]
    type = ComputeFiniteStrainElasticStress
    block = 'plank block'
  []
  [swell]
    type = ComputeEigenstrain
    block = 'plank'
    eigenstrain_name = swell
    eigen_base = '1 0 0 0 0 0 0 0 0'
    prefactor = swell_mat
  []
  [swell_mat]
    type = GenericFunctionMaterial
    prop_names = 'swell_mat'
    prop_values = '7e-2*(1-cos(4*t))'
    block = 'plank'
  []
[]

[Preconditioning]
  [smp]
    type = SMP
    full = true
  []
[]

[Executioner]
  type = Transient
  solve_type = 'PJFNK'
  petsc_options = '-snes_converged_reason -ksp_converged_reason'
  petsc_options_iname = '-pc_type -mat_mffd_err -pc_factor_shift_type -pc_factor_shift_amount'
  petsc_options_value = 'lu       1e-5          NONZERO               1e-15'
  end_time = 3
  dt = 0.1
  dtmin = 0.1
  timestep_tolerance = 1e-6
  line_search = 'contact'
[]

[Postprocessors]
  [nl_its]
    type = NumNonlinearIterations
  []
  [total_nl_its]
    type = CumulativeValuePostprocessor
    postprocessor = nl_its
  []
  [l_its]
    type = NumLinearIterations
  []
  [total_l_its]
    type = CumulativeValuePostprocessor
    postprocessor = l_its
  []
  [contact]
    type = ContactDOFSetSize
    variable = frictionless_normal_lm
    subdomain = frictionless_secondary_subdomain
  []
  [avg_hydro]
    type = ElementAverageValue
    variable = hydrostatic_stress
    block = 'block'
  []
  [max_hydro]
    type = ElementExtremeValue
    variable = hydrostatic_stress
    block = 'block'
  []
  [min_hydro]
    type = ElementExtremeValue
    variable = hydrostatic_stress
    block = 'block'
    value_type = min
  []
  [avg_vonmises]
    type = ElementAverageValue
    variable = vonmises_stress
    block = 'block'
  []
  [max_vonmises]
    type = ElementExtremeValue
    variable = vonmises_stress
    block = 'block'
  []
  [min_vonmises]
    type = ElementExtremeValue
    variable = vonmises_stress
    block = 'block'
    value_type = min
  []
[]

[Outputs]
  file_base = ${name}
  [comp]
    type = CSV
    show = 'contact'
  []
  [out]
    type = CSV
    file_base = '${name}_out'
  []
[]

[Debug]
  show_var_residual_norms = true
[]

(modules/solid_mechanics/test/tests/lagrangian/cartesian/total/planar/weak_plane_stress/convergence.i)

[GlobalParams]
  displacements = 'disp_x disp_y'
  large_kinematics = true
  stabilize_strain = true
[]

[Mesh]
  [gmg]
    type = GeneratedMeshGenerator
    dim = 2
    nx = 2
    ny = 2
  []
  use_displaced_mesh = false
[]

[Variables]
  [disp_x]
  []
  [disp_y]
  []
  [strain_zz]
  []
[]

[Kernels]
  [sdx]
    type = TotalLagrangianStressDivergence
    variable = disp_x
    out_of_plane_strain = strain_zz
    component = 0
  []
  [sdy]
    type = TotalLagrangianStressDivergence
    variable = disp_y
    out_of_plane_strain = strain_zz
    component = 1
  []
  [wps]
    type = TotalLagrangianWeakPlaneStress
    variable = strain_zz
  []
[]

[BCs]
  [fix_x]
    type = DirichletBC
    variable = disp_x
    boundary = 'top bottom'
    value = 0
  []
  [fix_y]
    type = DirichletBC
    variable = disp_y
    boundary = 'bottom'
    value = 0
  []
  [disp_y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'top'
    function = 't'
  []
[]

[Materials]
  [elastic_tensor]
    type = ComputeIsotropicElasticityTensor
    youngs_modulus = 1000.0
    poissons_ratio = 0.25
  []
  [strain]
    type = ComputeLagrangianWPSStrain
    out_of_plane_strain = strain_zz
  []
  [stress]
    type = ComputeLagrangianLinearElasticStress
  []
[]

[Executioner]
  type = Transient
  dt = 0.01
  end_time = 0.1

  solve_type = 'newton'
  petsc_options_iname = '-pc_type'
  petsc_options_value = 'lu'

  nl_abs_tol = 1e-10
  nl_rel_tol = 1e-10
[]

(modules/solid_mechanics/test/tests/notched_plastic_block/cmc_smooth.i)

# Uses a multi-smoothed version of capped-Mohr-Coulomb (via CappedMohrCoulombStressUpdate and ComputeMultipleInelasticStress) to simulate the following problem.
# A cubical block is notched around its equator.
# All of its outer surfaces have roller BCs, but the notched region is free to move as needed
# The block is initialised with a high hydrostatic tensile stress
# Without the notch, the BCs do not allow contraction of the block, and this stress configuration is admissible
# With the notch, however, the interior parts of the block are free to move in order to relieve stress, and this causes plastic failure
# The top surface is then pulled upwards (the bottom is fixed because of the roller BCs)
# This causes more failure
[Mesh]
  [generated_mesh]
    type = GeneratedMeshGenerator
    dim = 3
    nx = 9
    ny = 9
    nz = 9
    xmin = 0
    xmax = 0.1
    ymin = 0
    ymax = 0.1
    zmin = 0
    zmax = 0.1
  []
  [block_to_remove_xmin]
    type = SubdomainBoundingBoxGenerator
    bottom_left = '-0.01 -0.01 0.045'
    top_right = '0.01 0.11 0.055'
    location = INSIDE
    block_id = 1
    input = generated_mesh
  []
  [block_to_remove_xmax]
    type = SubdomainBoundingBoxGenerator
    bottom_left = '0.09 -0.01 0.045'
    top_right = '0.11 0.11 0.055'
    location = INSIDE
    block_id = 1
    input = block_to_remove_xmin
  []
  [block_to_remove_ymin]
    type = SubdomainBoundingBoxGenerator
    bottom_left = '-0.01 -0.01 0.045'
    top_right = '0.11 0.01 0.055'
    location = INSIDE
    block_id = 1
    input = block_to_remove_xmax
  []
  [block_to_remove_ymax]
    type = SubdomainBoundingBoxGenerator
    bottom_left = '-0.01 0.09 0.045'
    top_right = '0.11 0.11 0.055'
    location = INSIDE
    block_id = 1
    input = block_to_remove_ymin
  []
  [remove_block]
    type = BlockDeletionGenerator
    block = 1
    input = block_to_remove_ymax
  []
[]

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]

[Physics/SolidMechanics/QuasiStatic]
  [./all]
    add_variables = true
    incremental = true
    generate_output = 'max_principal_stress mid_principal_stress min_principal_stress stress_zz'
    eigenstrain_names = ini_stress
  [../]
[]

[Postprocessors]
  [./uz]
    type = PointValue
    point = '0 0 0.1'
    use_displaced_mesh = false
    variable = disp_z
  [../]
  [./s_zz]
    type = ElementAverageValue
    use_displaced_mesh = false
    variable = stress_zz
  [../]
  [./num_res]
    type = NumResidualEvaluations
  [../]
  [./nr_its] # num_iters is the average number of NR iterations encountered per element in this timestep
    type = ElementAverageValue
    variable = num_iters
  [../]
  [./max_nr_its] # max_num_iters is the maximum number of NR iterations encountered in the element during the whole simulation
    type = ElementExtremeValue
    variable = max_num_iters
  [../]
  [./runtime]
    type = PerfGraphData
    data_type = TOTAL
    section_name = 'Root'
  [../]
[]

[BCs]
  # back=zmin, front=zmax, bottom=ymin, top=ymax, left=xmin, right=xmax
  [./xmin_xzero]
    type = DirichletBC
    variable = disp_x
    boundary = left
    value = 0.0
  [../]
  [./xmax_xzero]
    type = DirichletBC
    variable = disp_x
    boundary = right
    value = 0.0
  [../]
  [./ymin_yzero]
    type = DirichletBC
    variable = disp_y
    boundary = bottom
    value = 0.0
  [../]
  [./ymax_yzero]
    type = DirichletBC
    variable = disp_y
    boundary = top
    value = 0.0
  [../]
  [./zmin_zzero]
    type = DirichletBC
    variable = disp_z
    boundary = back
    value = '0'
  [../]
  [./zmax_disp]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = front
    function = '1E-6*max(t,0)'
  [../]
[]

[AuxVariables]
  [./mc_int]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./num_iters]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./max_num_iters]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./yield_fcn]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]

[AuxKernels]
  [./mc_int_auxk]
    type = MaterialStdVectorAux
    index = 0
    property = plastic_internal_parameter
    variable = mc_int
  [../]
  [./num_iters_auxk]
    type = MaterialRealAux
    property = plastic_NR_iterations
    variable = num_iters
  [../]
  [./max_num_iters_auxk]
    type = MaterialRealAux
    property = max_plastic_NR_iterations
    variable = max_num_iters
  [../]
  [./yield_fcn_auxk]
    type = MaterialStdVectorAux
    index = 0
    property = plastic_yield_function
    variable = yield_fcn
  [../]
[]

[UserObjects]
  [./ts]
    type = SolidMechanicsHardeningConstant
    value = 3E6
  [../]
  [./cs]
    type = SolidMechanicsHardeningConstant
    value = 1E16
  [../]
  [./mc_coh]
    type = SolidMechanicsHardeningConstant
    value = 5E6
  [../]
  [./mc_phi]
    type = SolidMechanicsHardeningConstant
    value = 35
    convert_to_radians = true
  [../]
  [./mc_psi]
    type = SolidMechanicsHardeningConstant
    value = 10
    convert_to_radians = true
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeIsotropicElasticityTensor
    youngs_modulus = 16E9
    poissons_ratio = 0.25
  [../]
  [./mc]
    type = CappedMohrCoulombStressUpdate
    tensile_strength = ts
    compressive_strength = cs
    cohesion = mc_coh
    friction_angle = mc_phi
    dilation_angle = mc_psi
    smoothing_tol = 0.2E6
    yield_function_tol = 1E-5
    perfect_guess = false # this is so we can observe some Newton-Raphson iterations, for comparison with other models, and it is not optimal in any real-life simulations
  [../]
  [./stress]
    type = ComputeMultipleInelasticStress
    inelastic_models = mc
    perform_finite_strain_rotations = false
  [../]
  [./strain_from_initial_stress]
    type = ComputeEigenstrainFromInitialStress
    initial_stress = '2.5E6 0 0  0 2.5E6 0  0 0 2.5E6'
    eigenstrain_name = ini_stress
  [../]
[]

[Preconditioning]
  [./andy]
    type = SMP
    full = true
  [../]
[]

[Executioner]
  start_time = -1
  end_time = 10
  dt = 1
  solve_type = NEWTON
  type = Transient

  l_tol = 1E-2
  nl_abs_tol = 1E-5
  nl_rel_tol = 1E-7
  l_max_its = 200
  nl_max_its = 400

  petsc_options_iname = '-pc_type -pc_asm_overlap -sub_pc_type -ksp_type -ksp_gmres_restart'
  petsc_options_value = ' asm      2              lu            gmres     200'
[]


[Outputs]
  file_base = cmc_smooth
  perf_graph = true
  exodus = false
  csv = true
[]

(modules/combined/test/tests/cavity_pressure/additional_volume.i)

#
# Cavity Pressure Test
#
# This test is designed to compute an internal pressure based on
# p = n * R * / (V_cavity / T_cavity + V_add / T_add)
# where
#  p is the pressure
#  n is the amount of material in the volume (moles)
#  R is the universal gas constant
#  T_cavity is the temperature in the cavity
#  T_add is the temperature of the additional volume
#
# The mesh is composed of one block (1) with an interior cavity of volume 8.
#   Block 2 sits in the cavity and has a volume of 1.  Thus, the total
#   initial volume is 7. An additional volume of 2 is added.
#
# The test adjusts n, T, and V in the following way:
#   n => n0 + alpha * t
#   T => T0 + beta * t
#   V => V_cavity0 + gamma * t + V_add
# with
#   alpha = n0
#   beta = T0 / 2
#   gamma = -(0.003322259...) * V0
#   T0 = 240.54443866068704
#   V_cavity0 = 7
#   V_add = 2
#   T_add = 100
#   n0 = f(p0)
#   p0 = 100
#   R = 8.314472 J * K^(-1) * mol^(-1)
#
#  An additional volume of 2 with a temperature of 100.0 is included.
#
# So, n0 = p0 * (V_cavity / T_cavity + V_add / T_add) / R
#        = 100 * (7 / 240.544439 + 2 / 100) / 8.314472
#        = 0.59054
#
# The parameters combined at t = 1 gives p = 249.647.
#
# This test sets the initial temperature to 500, but the CavityPressure
#   is told that that initial temperature is T0.  Thus, the final solution
#   is unchanged.

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]

[Mesh]
  file = 3d.e
[]

[GlobalParams]
  volumetric_locking_correction = true
[]

[Functions]
  [displ_positive]
    type = PiecewiseLinear
    x = '0 1'
    y = '0 0.0029069767441859684'
  []
  [displ_negative]
    type = PiecewiseLinear
    x = '0 1'
    y = '0 -0.0029069767441859684'
  []
  [temp1]
    type = PiecewiseLinear
    x = '0 1'
    y = '1 1.5'
    scale_factor = 240.54443866068704
  []
  [material_input_function]
    type = PiecewiseLinear
    x = '0    1'
    y = '0 0.59054'
  []
  [additional_volume]
    type = ConstantFunction
    value = 2
  []
  [temperature_of_additional_volume]
    type = ConstantFunction
    value = 100
  []
[]

[Variables]
  [disp_x]
  []
  [disp_y]
  []
  [disp_z]
  []
  [temp]
    initial_condition = 500
  []
  [material_input]
  []
[]

[AuxVariables]
  [pressure_residual_x]
  []
  [pressure_residual_y]
  []
  [pressure_residual_z]
  []
  [stress_xx]
    order = CONSTANT
    family = MONOMIAL
  []
  [stress_yy]
    order = CONSTANT
    family = MONOMIAL
  []
  [stress_zz]
    order = CONSTANT
    family = MONOMIAL
  []
  [stress_xy]
    order = CONSTANT
    family = MONOMIAL
  []
  [stress_yz]
    order = CONSTANT
    family = MONOMIAL
  []
  [stress_zx]
    order = CONSTANT
    family = MONOMIAL
  []
[]

[Kernels]
  [TensorMechanics]
    use_displaced_mesh = true
  []
  [heat]
    type = Diffusion
    variable = temp
    use_displaced_mesh = true
  []
  [material_input_dummy]
    type = Diffusion
    variable = material_input
    use_displaced_mesh = true
  []
[]

[AuxKernels]
  [stress_xx]
    type = RankTwoAux
    rank_two_tensor = stress
    index_i = 0
    index_j = 0
    variable = stress_xx
  []
  [stress_yy]
    type = RankTwoAux
    rank_two_tensor = stress
    index_i = 1
    index_j = 1
    variable = stress_yy
  []
  [stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    index_i = 2
    index_j = 2
    variable = stress_zz
  []
  [stress_xy]
    type = RankTwoAux
    rank_two_tensor = stress
    index_i = 0
    index_j = 1
    variable = stress_xy
  []
  [stress_yz]
    type = RankTwoAux
    rank_two_tensor = stress
    index_i = 1
    index_j = 2
    variable = stress_yz
  []
  [stress_zx]
    type = RankTwoAux
    rank_two_tensor = stress
    index_i = 2
    index_j = 0
    variable = stress_zx
  []
[]

[BCs]
  [no_x_exterior]
    type = DirichletBC
    variable = disp_x
    boundary = '7 8'
    value = 0.0
  []
  [no_y_exterior]
    type = DirichletBC
    variable = disp_y
    boundary = '9 10'
    value = 0.0
  []
  [no_z_exterior]
    type = DirichletBC
    variable = disp_z
    boundary = '11 12'
    value = 0.0
  []
  [prescribed_left]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 13
    function = displ_positive
  []
  [prescribed_right]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 14
    function = displ_negative
  []
  [no_y]
    type = DirichletBC
    variable = disp_y
    boundary = '15 16'
    value = 0.0
  []
  [no_z]
    type = DirichletBC
    variable = disp_z
    boundary = '17 18'
    value = 0.0
  []
  [no_x_interior]
    type = DirichletBC
    variable = disp_x
    boundary = '1 2'
    value = 0.0
  []
  [no_y_interior]
    type = DirichletBC
    variable = disp_y
    boundary = '3 4'
    value = 0.0
  []
  [no_z_interior]
    type = DirichletBC
    variable = disp_z
    boundary = '5 6'
    value = 0.0
  []
  [temperatureInterior]
    type = FunctionDirichletBC
    boundary = 100
    function = temp1
    variable = temp
  []
  [MaterialInput]
    type = FunctionDirichletBC
    boundary = '100 13 14 15 16'
    function = material_input_function
    variable = material_input
  []
  [CavityPressure]
    [1]
      boundary = 100
      initial_pressure = 100
      material_input = materialInput
      R = 8.314472
      temperature = aveTempInterior
      initial_temperature = 240.54443866068704
      volume = internalVolume
      startup_time = 0.5
      output = ppress
      save_in = 'pressure_residual_x pressure_residual_y pressure_residual_z'
      additional_volumes = volume1
      temperature_of_additional_volumes = temperature1
    []
  []
[]

[Materials]
  [elast_tensor1]
    type = ComputeElasticityTensor
    C_ijkl = '0 5'
    fill_method = symmetric_isotropic
    block = 1
  []
  [strain1]
    type = ComputeFiniteStrain
    block = 1
  []
  [stress1]
    type = ComputeFiniteStrainElasticStress
    block = 1
  []
  [elast_tensor2]
    type = ComputeElasticityTensor
    C_ijkl = '0 5'
    fill_method = symmetric_isotropic
    block = 2
  []
  [strain2]
    type = ComputeFiniteStrain
    block = 2
  []
  [stress2]
    type = ComputeFiniteStrainElasticStress
    block = 2
  []
[]

[Executioner]
  type = Transient

  petsc_options_iname = '-pc_type -sub_pc_type'
  petsc_options_value = 'asm       lu'

  nl_rel_tol = 1e-12
  l_tol = 1e-12

  l_max_its = 20

  dt = 0.5
  end_time = 1.0

  snesmf_reuse_base = false
  use_pre_SMO_residual = true
[]

[Postprocessors]
  [internalVolume]
    type = InternalVolume
    boundary = 100
    execute_on = 'initial linear'
  []
  [aveTempInterior]
    type = SideAverageValue
    boundary = 100
    variable = temp
    execute_on = 'initial linear'
  []
  [materialInput]
    type = SideAverageValue
    boundary = '7 8 9 10 11 12'
    variable = material_input
    execute_on = linear
  []
  [volume1]
    type = FunctionValuePostprocessor
    function = additional_volume
    execute_on = 'initial linear'
  []
  [temperature1]
    type = FunctionValuePostprocessor
    function = temperature_of_additional_volume
    execute_on = 'initial linear'
  []
[]

[Outputs]
  exodus = true
[]

(modules/solid_mechanics/test/tests/volumetric_deform_grad/volumetric_strain_interface.i)

#This test has volumetric deformation gradient as identity
#Test the interface
#Results should match with elasticity
[Mesh]
  type = GeneratedMesh
  dim = 3
  elem_type = HEX8
  displacements = 'disp_x disp_y disp_z'
[]

[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
[]

[Kernels]
  [SolidMechanics]
    displacements = 'disp_x disp_y disp_z'
    use_displaced_mesh = true
  [../]
[]

[AuxVariables]
  [./stress_zz]
    order = CONSTANT
    family = MONOMIAL
    block = 0
  [../]
[]

[AuxKernels]
  [./stress_zz]
    type = RankTwoAux
    variable = stress_zz
    rank_two_tensor = stress
    index_j = 2
    index_i = 2
    execute_on = timestep_end
    block = 0
  [../]
[]

[BCs]
  [./symmy]
    type = DirichletBC
    variable = disp_y
    boundary = bottom
    value = 0
  [../]
  [./symmx]
    type = DirichletBC
    variable = disp_x
    boundary = left
    value = 0
  [../]
  [./symmz]
    type = DirichletBC
    variable = disp_z
    boundary = back
    value = 0
  [../]
  [./tdisp]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = front
    function = '0.01*t'
  [../]
[]

[Materials]
  [./strain]
    type = ComputeFiniteStrain
    block = 0
    displacements = 'disp_x disp_y disp_z'
  [../]
  [./volumetric_strain]
    type = ComputeVolumetricDeformGrad
    pre_deform_grad_name = deformation_gradient
    volumetric_deform_grad_name = volumetric_deformation_gradient
    post_deform_grad_name = elastic_deformation_gradient
    block = 0
  [../]
  [./elastic_stress]
    type = ComputeDeformGradBasedStress
    deform_grad_name = elastic_deformation_gradient
    elasticity_tensor_name = elasticity_tensor
    stress_name = elastic_stress
    jacobian_name = elastic_jacobian
    block = 0
  [../]
  [./corrected_stress]
    type = VolumeDeformGradCorrectedStress
    pre_stress_name = elastic_stress
    deform_grad_name = volumetric_deformation_gradient
    pre_jacobian_name = elastic_jacobian
    stress_name = stress
    jacobian_name = Jacobian_mult
    block = 0
  [../]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    block = 0
    C_ijkl = '2.8e5 1.2e5 1.2e5 2.8e5 1.2e5 2.8e5 0.8e5 0.8e5 0.8e5'
    fill_method = symmetric9
  [../]
[]

[Postprocessors]
  [./stress_zz]
    type = ElementAverageValue
    variable = stress_zz
    block = 'ANY_BLOCK_ID 0'
  [../]
[]

[Preconditioning]
  [./smp]
    type = SMP
    full = true
  [../]
[]

[Executioner]
  type = Transient
  dt = 0.02
  #Preconditioned JFNK (default)
  solve_type = 'PJFNK'
  petsc_options_iname = '-pc_type -pc_hypre_type -ksp_gmres_restart'
  petsc_options_value = 'hypre boomeramg 101'
  dtmax = 10.0
  nl_rel_tol = 1e-10
  dtmin = 0.02
  num_steps = 10
[]

[Outputs]
  csv = true
[]

(modules/solid_mechanics/test/tests/capped_weak_plane/pull_push.i)

# A column of elements has its bottom pulled down, and then pushed up again.
[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 2
  xmin = -10
  xmax = 10
  ymin = -10
  ymax = 10
  zmin = -100
  zmax = 0
[]

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]

[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
[]

[Kernels]
  [SolidMechanics]
  [../]
[]

[BCs]
  [./no_x2]
    type = DirichletBC
    variable = disp_x
    boundary = right
    value = 0.0
  [../]
  [./no_x1]
    type = DirichletBC
    variable = disp_x
    boundary = left
    value = 0.0
  [../]
  [./no_y1]
    type = DirichletBC
    variable = disp_y
    boundary = bottom
    value = 0.0
  [../]
  [./no_y2]
    type = DirichletBC
    variable = disp_y
    boundary = top
    value = 0.0
  [../]

  [./topz]
    type = DirichletBC
    variable = disp_z
    boundary = front
    value = 0
  [../]
  [./bottomz]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = back
    function = 'if(t>1,-2.0+t,-t)'
  [../]
[]

[AuxVariables]
  [./stress_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./strainp_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./strainp_xy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./strainp_xz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./strainp_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./strainp_yz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./strainp_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./straint_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./straint_xy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./straint_xz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./straint_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./straint_yz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./straint_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f_shear]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f_tensile]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f_compressive]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./intnl_shear]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./intnl_tensile]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./iter]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./ls]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]

[AuxKernels]
  [./stress_xx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xx
    index_i = 0
    index_j = 0
  [../]
  [./stress_xy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xy
    index_i = 0
    index_j = 1
  [../]
  [./stress_xz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xz
    index_i = 0
    index_j = 2
  [../]
  [./stress_yy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yy
    index_i = 1
    index_j = 1
  [../]
  [./stress_yz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yz
    index_i = 1
    index_j = 2
  [../]
  [./stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zz
    index_i = 2
    index_j = 2
  [../]
  [./strainp_xx]
    type = RankTwoAux
    rank_two_tensor = plastic_strain
    variable = strainp_xx
    index_i = 0
    index_j = 0
  [../]
  [./strainp_xy]
    type = RankTwoAux
    rank_two_tensor = plastic_strain
    variable = strainp_xy
    index_i = 0
    index_j = 1
  [../]
  [./strainp_xz]
    type = RankTwoAux
    rank_two_tensor = plastic_strain
    variable = strainp_xz
    index_i = 0
    index_j = 2
  [../]
  [./strainp_yy]
    type = RankTwoAux
    rank_two_tensor = plastic_strain
    variable = strainp_yy
    index_i = 1
    index_j = 1
  [../]
  [./strainp_yz]
    type = RankTwoAux
    rank_two_tensor = plastic_strain
    variable = strainp_yz
    index_i = 1
    index_j = 2
  [../]
  [./strainp_zz]
    type = RankTwoAux
    rank_two_tensor = plastic_strain
    variable = strainp_zz
    index_i = 2
    index_j = 2
  [../]
  [./straint_xx]
    type = RankTwoAux
    rank_two_tensor = total_strain
    variable = straint_xx
    index_i = 0
    index_j = 0
  [../]
  [./straint_xy]
    type = RankTwoAux
    rank_two_tensor = total_strain
    variable = straint_xy
    index_i = 0
    index_j = 1
  [../]
  [./straint_xz]
    type = RankTwoAux
    rank_two_tensor = total_strain
    variable = straint_xz
    index_i = 0
    index_j = 2
  [../]
  [./straint_yy]
    type = RankTwoAux
    rank_two_tensor = total_strain
    variable = straint_yy
    index_i = 1
    index_j = 1
  [../]
  [./straint_yz]
    type = RankTwoAux
    rank_two_tensor = total_strain
    variable = straint_yz
    index_i = 1
    index_j = 2
  [../]
  [./straint_zz]
    type = RankTwoAux
    rank_two_tensor = total_strain
    variable = straint_zz
    index_i = 2
    index_j = 2
  [../]
  [./f_shear]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 0
    variable = f_shear
  [../]
  [./f_tensile]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 1
    variable = f_tensile
  [../]
  [./f_compressive]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 2
    variable = f_compressive
  [../]
  [./intnl_shear]
    type = MaterialStdVectorAux
    property = plastic_internal_parameter
    index = 0
    variable = intnl_shear
  [../]
  [./intnl_tensile]
    type = MaterialStdVectorAux
    property = plastic_internal_parameter
    index = 1
    variable = intnl_tensile
  [../]
  [./iter]
    type = MaterialRealAux
    property = plastic_NR_iterations
    variable = iter
  [../]
  [./ls]
    type = MaterialRealAux
    property = plastic_linesearch_needed
    variable = ls
  [../]
[]

[UserObjects]
  [./coh_irrelevant]
    type = SolidMechanicsHardeningCubic
    value_0 = 2E6
    value_residual = 1E6
    internal_limit = 0.01
  [../]
  [./tanphi]
    type = SolidMechanicsHardeningCubic
    value_0 = 0.5
    value_residual = 0.2
    internal_limit = 0.01
  [../]
  [./tanpsi]
    type = SolidMechanicsHardeningConstant
    value = 0.166666666667
  [../]
  [./t_strength]
    type = SolidMechanicsHardeningConstant
    value = 2E6
  [../]
  [./c_strength]
    type = SolidMechanicsHardeningCubic
    value_0 = 1E8
    value_residual = 0.0
    internal_limit = 0.01
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeIsotropicElasticityTensor
    lambda = 6.4e9
    shear_modulus = 6.4e9 # young 16MPa, Poisson 0.25
  [../]
  [./strain]
    type = ComputeIncrementalStrain
  [../]
  [./admissible]
    type = ComputeMultipleInelasticStress
    inelastic_models = stress
    tangent_operator = nonlinear
    perform_finite_strain_rotations = false
  [../]
  [./stress]
    type = CappedWeakPlaneStressUpdate
    cohesion = coh_irrelevant
    tan_friction_angle = tanphi
    tan_dilation_angle = tanpsi
    tensile_strength = t_strength
    compressive_strength = c_strength
    max_NR_iterations = 10
    tip_smoother = 0
    smoothing_tol = 0
    yield_function_tol = 1E-2
    perfect_guess = false
    min_step_size = 1
  [../]
[]

[Preconditioning]
  [./andy]
    type = SMP
    full = true
    petsc_options = '-snes_converged_reason -snes_linesearch_monitor'
    petsc_options_iname = '-pc_type -pc_asm_overlap -sub_pc_type -ksp_type -ksp_gmres_restart'
    petsc_options_value = ' asm      2              lu            gmres     200'
  [../]
[]

[Executioner]
  solve_type = 'NEWTON'
  petsc_options = '-snes_converged_reason'
  line_search = bt
  nl_abs_tol = 1E1
  nl_rel_tol = 1e-5
  l_tol = 1E-10

  l_max_its = 100
  nl_max_its = 100

  end_time = 3.0
  dt = 0.1
  type = Transient
[]

[Outputs]
  file_base = pull_push
  exodus = true
  csv = true
[]

(test/tests/bcs/bc_preset_nodal/bc_function_preset.i)

[Mesh]
  type = GeneratedMesh
  dim = 2
  nx = 10
  ny = 10
  nz = 0
  zmin = 0
  zmax = 0
  elem_type = QUAD4
[]

[Variables]
  active = 'u'

  [./u]
    order = FIRST
    family = LAGRANGE
  [../]
[]

[Functions]
  [./left]
    type = ParsedFunction
    expression = 'y'
  [../]

  [./right]
    type = ParsedFunction
    expression = '1+y'
  [../]
[]

[Kernels]
  active = 'diff'

  [./diff]
    type = Diffusion
    variable = u
  [../]
[]

[BCs]
  active = 'left right'

   [./left]
    type = FunctionDirichletBC
    variable = u
    boundary = 3
    function = left
  [../]

  [./right]
    type = FunctionDirichletBC
    variable = u
    boundary = 1
    function = right
  [../]
[]

[Executioner]
  type = Steady

  solve_type = 'PJFNK'
[]

[Outputs]
  file_base = bc_func_out
  exodus = true
[]

(modules/solid_mechanics/test/tests/multi/rock1.i)

# Plasticity models:
# Mohr-Coulomb with cohesion = 40MPa, friction angle = 35deg, dilation angle = 10deg
# Tensile with strength = 1MPa
# WeakPlaneShear with cohesion = 1MPa, friction angle = 25deg, dilation angle = 25deg
# WeakPlaneTensile with strength = 0.01MPa
#
# Lame lambda = 1GPa.  Lame mu = 1.3GPa
#
# A line of elements is perturbed randomly, and return to the yield surface at each quadpoint is checked

[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1000
  ny = 1234
  nz = 1
  xmin = 0
  xmax = 1000
  ymin = 0
  ymax = 1234
  zmin = 0
  zmax = 1
[]


[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
[]

[Kernels]
  [SolidMechanics]
    displacements = 'disp_x disp_y disp_z'
  [../]
[]


[ICs]
  [./x]
    type = RandomIC
    min = -0.1
    max = 0.1
    variable = disp_x
  [../]
  [./y]
    type = RandomIC
    min = -0.1
    max = 0.1
    variable = disp_y
  [../]
  [./z]
    type = RandomIC
    min = -0.1
    max = 0.1
    variable = disp_z
  [../]
[]

[BCs]
  [./x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'front back'
    function = '0'
  [../]
  [./y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'front back'
    function = '0'
  [../]
  [./z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'front back'
    function = '0'
  [../]
[]

[AuxVariables]
  [./stress_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f0]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f1]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f2]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f3]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./int0]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./int1]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./int2]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./int3]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./iter]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]

[AuxKernels]
  [./stress_xx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xx
    index_i = 0
    index_j = 0
  [../]
  [./stress_xy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xy
    index_i = 0
    index_j = 1
  [../]
  [./stress_xz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xz
    index_i = 0
    index_j = 2
  [../]
  [./stress_yy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yy
    index_i = 1
    index_j = 1
  [../]
  [./stress_yz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yz
    index_i = 1
    index_j = 2
  [../]
  [./stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zz
    index_i = 2
    index_j = 2
  [../]
  [./f0]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 0
    variable = f0
  [../]
  [./f1]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 1
    variable = f1
  [../]
  [./f2]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 2
    variable = f2
  [../]
  [./f3]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 3
    variable = f3
  [../]
  [./int0]
    type = MaterialStdVectorAux
    property = plastic_internal_parameter
    factor = 1E6
    index = 0
    variable = int0
  [../]
  [./int1]
    type = MaterialStdVectorAux
    property = plastic_internal_parameter
    factor = 1E6
    index = 1
    variable = int1
  [../]
  [./int2]
    type = MaterialStdVectorAux
    property = plastic_internal_parameter
    factor = 1E6
    index = 2
    variable = int2
  [../]
  [./int3]
    type = MaterialStdVectorAux
    property = plastic_internal_parameter
    factor = 1E6
    index = 3
    variable = int3
  [../]
  [./iter]
    type = MaterialRealAux
    property = plastic_NR_iterations
    variable = iter
  [../]
[]

[Postprocessors]
  [./raw_f0]
    type = ElementExtremeValue
    variable = f0
    outputs = console
  [../]
  [./raw_f1]
    type = ElementExtremeValue
    variable = f1
    outputs = console
  [../]
  [./raw_f2]
    type = ElementExtremeValue
    variable = f2
    outputs = console
  [../]
  [./raw_f3]
    type = ElementExtremeValue
    variable = f3
    outputs = console
  [../]
  [./iter]
    type = ElementExtremeValue
    variable = iter
    outputs = console
  [../]
  [./f0]
    type = FunctionValuePostprocessor
    function = should_be_zero0_fcn
  [../]
  [./f1]
    type = FunctionValuePostprocessor
    function = should_be_zero1_fcn
  [../]
  [./f2]
    type = FunctionValuePostprocessor
    function = should_be_zero2_fcn
  [../]
  [./f3]
    type = FunctionValuePostprocessor
    function = should_be_zero3_fcn
  [../]
[]

[Functions]
  [./should_be_zero0_fcn]
    type = ParsedFunction
    expression = 'if(a<1E-1,0,a)'
    symbol_names = 'a'
    symbol_values = 'raw_f0'
  [../]
  [./should_be_zero1_fcn]
    type = ParsedFunction
    expression = 'if(a<1E-1,0,a)'
    symbol_names = 'a'
    symbol_values = 'raw_f1'
  [../]
  [./should_be_zero2_fcn]
    type = ParsedFunction
    expression = 'if(a<1E-1,0,a)'
    symbol_names = 'a'
    symbol_values = 'raw_f2'
  [../]
  [./should_be_zero3_fcn]
    type = ParsedFunction
    expression = 'if(a<1E-1,0,a)'
    symbol_names = 'a'
    symbol_values = 'raw_f3'
  [../]
[]

[UserObjects]
  [./mc_coh]
    type = SolidMechanicsHardeningConstant
    value = 4E7
  [../]
  [./mc_phi]
    type = SolidMechanicsHardeningConstant
    value = 35
    convert_to_radians = true
  [../]
  [./mc_psi]
    type = SolidMechanicsHardeningConstant
    value = 10
    convert_to_radians = true
  [../]
  [./mc]
    type = SolidMechanicsPlasticMohrCoulomb
    cohesion = mc_coh
    friction_angle = mc_phi
    dilation_angle = mc_psi
    mc_tip_smoother = 4E6
    yield_function_tolerance = 1.0E-1
    internal_constraint_tolerance = 1.0E-7
  [../]

  [./ts]
    type = SolidMechanicsHardeningConstant
    value = 1E6
  [../]
  [./tensile]
    type = SolidMechanicsPlasticTensile
    tensile_strength = ts
    tensile_tip_smoother = 1E5
    yield_function_tolerance = 1.0E-1
    internal_constraint_tolerance = 1.0E-7
  [../]
  [./coh]
    type = SolidMechanicsHardeningConstant
    value = 1E6
  [../]
  [./tanphi]
    type = SolidMechanicsHardeningConstant
    value = 0.46630766
  [../]
  [./tanpsi]
    type = SolidMechanicsHardeningConstant
    value = 0.46630766
  [../]
  [./wps]
    type = SolidMechanicsPlasticWeakPlaneShear
    cohesion = coh
    tan_friction_angle = tanphi
    tan_dilation_angle = tanpsi
    smoother = 1E5
    yield_function_tolerance = 1.0E-1
    internal_constraint_tolerance = 1.0E-7
  [../]
  [./str]
    type = SolidMechanicsHardeningConstant
    value = 0.01E6
  [../]
  [./wpt]
    type = SolidMechanicsPlasticWeakPlaneTensile
    tensile_strength = str
    yield_function_tolerance = 1.0E-1
    internal_constraint_tolerance = 1.0E-7
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    block = 0
    fill_method = symmetric_isotropic
    C_ijkl = '1E9 1.3E9'
  [../]
  [./strain]
    type = ComputeFiniteStrain
    block = 0
    displacements = 'disp_x disp_y disp_z'
  [../]
  [./multi]
    type = ComputeMultiPlasticityStress
    block = 0
    ep_plastic_tolerance = 1E-7
    plastic_models = 'mc tensile wps wpt'
    deactivation_scheme = 'optimized_to_safe_to_dumb'
    max_NR_iterations = 20
    min_stepsize = 1E-4
    max_stepsize_for_dumb = 1E-3
    debug_fspb = crash
    debug_jac_at_stress = '10 0 0 0 10 0 0 0 10'
    debug_jac_at_pm = '1 1 1 1'
    debug_jac_at_intnl = '1 1 1 1'
    debug_stress_change = 1E1
    debug_pm_change = '1E-6 1E-6 1E-6 1E-6'
    debug_intnl_change = '1E-6 1E-6 1E-6 1E-6'
  [../]
[]


[Executioner]
  end_time = 1
  dt = 1
  type = Transient
[]


[Outputs]
  file_base = rock1
  exodus = false
  [./csv]
    type = CSV
    [../]
[]

(modules/solid_mechanics/test/tests/umat/analysis_steps/elastic_temperature_steps_uo_durations.i)

# Testing the UMAT Interface - linear elastic model using the large strain formulation.

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]

[Mesh]
  [gen]
    type = GeneratedMeshGenerator
    dim = 3
    xmin = -0.5
    xmax = 0.5
    ymin = -0.5
    ymax = 0.5
    zmin = -0.5
    zmax = 0.5
  []
[]

[Functions]
  [top_pull_step2]
    type = ParsedFunction
    expression = (t-5.0)/20
  []
  # Forced evolution of temperature
  [temperature_load]
    type = ParsedFunction
    expression = '273'
  []
[]

[AuxVariables]
  [temperature]
  []
[]

[AuxKernels]
  [temperature_function]
    type = FunctionAux
    variable = temperature
    function = temperature_load
  []
[]

[Physics/SolidMechanics/QuasiStatic]
  [all]
    add_variables = true
    strain = FINITE
    generate_output = 'stress_yy'
  []
[]

[BCs]
  [y_step1]
    type = DirichletBC
    variable = disp_y
    boundary = top
    value = 0.0
  []
  [y_pull_function_step2]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = top
    function = top_pull_step2
  []
  [x_bot]
    type = DirichletBC
    variable = disp_x
    boundary = left
    value = 0.0
  []
  [y_bot]
    type = DirichletBC
    variable = disp_y
    boundary = bottom
    value = 0.0
  []
  [z_bot]
    type = DirichletBC
    variable = disp_z
    boundary = front
    value = 0.0
  []
[]

[Controls]
  [step1]
    type = AnalysisStepPeriod
    enable_objects = 'BCs::y_step1'
    disable_objects = 'BCs::y_pull_function_step2'
    analysis_step_user_object = step_uo
    step_number = 0
  []
  [step2]
    type = AnalysisStepPeriod
    enable_objects = 'BCs::y_pull_function_step2'
    disable_objects = 'BCs::y_step1'
    analysis_step_user_object = step_uo
    step_number = 1
  []
[]

[UserObjects]
  [step_uo]
   type = AnalysisStepUserObject
   step_durations = '5'
  []
[]

[Materials]
  [umat]
    type = AbaqusUMATStress
    constant_properties = '1000 0.3'
    plugin = '../../../plugins/elastic_temperature'
    num_state_vars = 0
    temperature = temperature
    use_one_based_indexing = true
  []
[]

[Executioner]
  type = Transient
  solve_type = 'PJFNK'

  petsc_options = '-snes_ksp_ew'
  petsc_options_iname = '-ksp_gmres_restart'
  petsc_options_value = '101'

  line_search = 'none'

  l_max_its = 100
  nl_max_its = 100
  nl_rel_tol = 1e-12
  nl_abs_tol = 1e-10
  l_tol = 1e-9
  start_time = 0.0
  num_steps = 10
  dt = 1.0
[]

[Preconditioning]
  [smp]
    type = SMP
    full = true
  []
[]

[Outputs]
  exodus = true
[]

(modules/stochastic_tools/test/tests/functions/drl_reward/drl_reward.i)

[Mesh]
  [mesh]
    type = GeneratedMeshGenerator
    dim = 1
    xmin = 0.0
    xmax = 7.0
    nx = 3
  []
[]

[Variables]
  [temp]
    initial_condition = 300
  []
[]

[Kernels]
  [time]
    type = CoefTimeDerivative
    variable = temp
    Coefficient = '${fparse 1.00630182*1.225}'
  []
  [heat_conduc]
    type = MatDiffusion
    variable = temp
    diffusivity = 'k'
  []
[]

[BCs]
  [dirichlet]
    type = FunctionDirichletBC
    function = "200"
    variable = temp
    boundary = 'right'
  []
[]

[Functions]
  [design_function]
    type = ParsedFunction
    value = 't/3600*297'
  []
  [reward_function]
    type = ScaledAbsDifferenceDRLRewardFunction
    design_function = design_function
    observed_value = center_temp_tend
    c1 = 1
    c2 = 10
  []
[]

[Materials]
  [constant]
    type = GenericConstantMaterial
    prop_names = 'k'
    prop_values = 26.53832364
  []
[]

[Executioner]
  type = Transient
  solve_type = 'NEWTON'

  petsc_options_iname = '-pc_type -pc_factor_shift_type'
  petsc_options_value = 'lu NONZERO'
  line_search = 'none'

  nl_rel_tol = 1e-8

  start_time = 0.0
  end_time = 3600
  dt = 1800
[]

[Postprocessors]
  [center_temp_tend]
    type = PointValue
    variable = temp
    point = '3.5 0.0 0.0'
    execute_on = 'INITIAL TIMESTEP_END'
  []
  [reward]
    type = FunctionValuePostprocessor
    function = reward_function
    execute_on = 'INITIAL TIMESTEP_END'
    indirect_dependencies = 'center_temp_tend'
  []
[]

[Outputs]
  csv = true
[]

(modules/solid_mechanics/test/tests/cohesive_zone_model/bilinear_mixed.i)

[Mesh]
  [msh]
    type = GeneratedMeshGenerator
    dim = 2
    xmax = 1
    ymax = 2
    nx = 1
    ny = 2
  []
  [block1]
    type = SubdomainBoundingBoxGenerator
    input = 'msh'
    bottom_left = '0 0 0'
    top_right = '1 1 0'
    block_id = 1
    block_name = 'block1'
  []
  [block2]
    type = SubdomainBoundingBoxGenerator
    input = 'block1'
    bottom_left = '0 1 0'
    top_right = '1 2 0'
    block_id = 2
    block_name = 'block2'
  []
  [split]
    type = BreakMeshByBlockGenerator
    input = block2
  []
  [top_node]
    type = ExtraNodesetGenerator
    coord = '0 2 0'
    input = split
    new_boundary = top_node
  []
  [bottom_node]
    type = ExtraNodesetGenerator
    coord = '0 0 0'
    input = top_node
    new_boundary = bottom_node
  []
[]

[GlobalParams]
  displacements = 'disp_x disp_y'
[]

[Physics]
  [SolidMechanics]
    [QuasiStatic]
      generate_output = 'stress_yy'
      [all]
        strain = FINITE
        add_variables = true
        use_automatic_differentiation = true
        decomposition_method = TaylorExpansion
      []
    []
  []
[]

[BCs]
  [fix_x]
    type = DirichletBC
    preset = true
    value = 0.0
    boundary = bottom_node
    variable = disp_x
  []

  [fix_top]
    type = DirichletBC
    preset = true
    boundary = top
    variable = disp_x
    value = 0
  []

  [top]
    type = FunctionDirichletBC
    boundary = top
    variable = disp_y
    function = 'if(t<=0.3,t,if(t<=0.6,0.3-(t-0.3),0.6-t))'
    preset = true
  []

  [bottom]
    type = DirichletBC
    boundary = bottom
    variable = disp_y
    value = 0
    preset = true
  []
[]

[Physics/SolidMechanics/CohesiveZone]
  [czm_ik]
    boundary = 'interface'
  []
[]

[Materials]
  [stress]
    type = ADComputeFiniteStrainElasticStress
  []
  [elasticity_tensor]
    type = ADComputeElasticityTensor
    fill_method = symmetric9
    C_ijkl = '1.684e5 0.176e5 0.176e5 1.684e5 0.176e5 1.684e5 0.754e5 0.754e5 0.754e5'
  []
  [czm]
    type = BiLinearMixedModeTraction
    boundary = 'interface'
    penalty_stiffness = 1e6
    GI_c = 1e3
    GII_c = 1e2
    normal_strength = 1e4
    shear_strength = 1e3
    displacements = 'disp_x disp_y'
    eta = 2.2
    viscosity = 1e-3
  []
[]

[Preconditioning]
  [smp]
    type = SMP
    full = true
  []
[]

[Executioner]
  type = Transient

  solve_type = 'NEWTON'
  line_search = none

  petsc_options_iname = '-pc_type'
  petsc_options_value = 'lu'

  automatic_scaling = true

  l_max_its = 2
  l_tol = 1e-14
  nl_max_its = 30
  nl_rel_tol = 1e-50
  nl_abs_tol = 1e-15
  start_time = 0.0
  dt = 0.1
  end_time = 1.0
  dtmin = 0.1
[]

[Outputs]
  exodus = true
[]

(test/tests/vectorpostprocessors/least_squares_fit_history/least_squares_fit_history.i)

[Mesh]
  type = GeneratedMesh
  dim = 2
  nx = 10
  ny = 10
[]

[Variables]
  [./u]
  [../]
  [./v]
  [../]
[]

[Kernels]
  [./diff]
    type = Diffusion
    variable = u
  [../]
  [./diff_v]
    type = Diffusion
    variable = v
  [../]
[]

[BCs]
  [./left]
    type = DirichletBC
    variable = u
    boundary = left
    value = 0
  [../]
  [./right]
    type = FunctionDirichletBC
    variable = u
    boundary = right
    function = 't'
  [../]
  [./left_v]
    type = FunctionDirichletBC
    variable = v
    boundary = left
    function = 't'
  [../]
  [./right_v]
    type = DirichletBC
    variable = v
    boundary = right
    value = 0
  [../]
[]

[VectorPostprocessors]
  [./line_sample]
    type = LineValueSampler
    variable = 'u v'
    start_point = '0 0.5 0'
    end_point = '1 0.5 0'
    num_points = 11
    sort_by = id
    outputs = none
  [../]
  [./least_squares_fit_coeffs]
    type = LeastSquaresFitHistory
    vectorpostprocessor = line_sample
    x_name = 'id'
    y_name = 'u'
    order = 1
  [../]
  [./shift_and_scale_x_least_squares_fit_coeffs]
    type = LeastSquaresFitHistory
    vectorpostprocessor = line_sample
    x_name = 'id'
    y_name = 'u'
    x_shift = 1
    x_scale = 10
    order = 1
  [../]
  [./shift_and_scale_y_least_squares_fit_coeffs]
    type = LeastSquaresFitHistory
    vectorpostprocessor = line_sample
    x_name = 'id'
    y_name = 'u'
    y_shift = 1
    y_scale = 10
    order = 1
  [../]
[]

[Executioner]
  type = Transient
  start_time = 0.0
  num_steps = 3
  dt = 1.0
  solve_type = PJFNK
  petsc_options_iname = '-pc_type -pc_hypre_type'
  petsc_options_value = 'hypre boomeramg'
[]

[Outputs]
  file_base = out
  execute_on = 'timestep_end'
  csv = true
[]

(modules/solid_mechanics/test/tests/lagrangian/cartesian/total/rates/rotation.i)

[Mesh]
  [msh]
    type = GeneratedMeshGenerator
    dim = 2
    nx = 1
    ny = 1
  []
  [bottom_left]
    type = ExtraNodesetGenerator
    input = msh
    new_boundary = 'bottom_left'
    coord = '0 0 0'
  []
  [top_left]
    type = ExtraNodesetGenerator
    input = bottom_left
    new_boundary = 'top_left'
    coord = '0 1 0'
  []
  [top_right]
    type = ExtraNodesetGenerator
    input = top_left
    new_boundary = 'top_right'
    coord = '1 1 0'
  []
  [bottom_right]
    type = ExtraNodesetGenerator
    input = top_right
    new_boundary = 'bottom_right'
    coord = '1 0 0'
  []
[]

[GlobalParams]
  displacements = 'disp_x disp_y'
  large_kinematics = true
[]

[Variables]
  [disp_x]
  []
  [disp_y]
  []
[]

[Kernels]
  [sdx]
    type = TotalLagrangianStressDivergence
    variable = disp_x
    component = 0
  []
  [sdy]
    type = TotalLagrangianStressDivergence
    variable = disp_y
    component = 1
  []
[]

[AuxVariables]
  [stress_xx]
    order = CONSTANT
    family = MONOMIAL
    [AuxKernel]
      type = RankTwoAux
      rank_two_tensor = cauchy_stress
      index_i = 0
      index_j = 0
      execute_on = TIMESTEP_END
    []
  []
  [stress_yy]
    order = CONSTANT
    family = MONOMIAL
    [AuxKernel]
      type = RankTwoAux
      rank_two_tensor = cauchy_stress
      index_i = 1
      index_j = 1
      execute_on = TIMESTEP_END
    []
  []
[]

[BCs]
  [fix_y]
    type = DirichletBC
    variable = disp_y
    boundary = 'bottom_left'
    value = 0
  []
  [fix_x]
    type = DirichletBC
    variable = disp_x
    boundary = 'bottom_left'
    value = 0
  []
  [top_left_x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'top_left'
    function = 'theta:=if(t<1,0,t-1); -sin(theta)'
  []
  [top_left_y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'top_left'
    function = 'theta:=if(t<1,0,t-1); cos(theta)-1'
  []
  [bottom_right_x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'bottom_right'
    function = 'theta:=if(t<1,0,t-1); if(t<1,t,2*cos(theta)-1)'
  []
  [bottom_right_y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'bottom_right'
    function = 'theta:=if(t<1,0,t-1); if(t<1,0,2*sin(theta))'
  []
  [top_right_x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'top_right'
    function = 'theta:=if(t<1,0,t-1); phi:=theta+atan(0.5); if(t<1,t,sqrt(5)*cos(phi)-1)'
  []
  [top_right_y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'top_right'
    function = 'theta:=if(t<1,0,t-1); phi:=theta+atan(0.5); if(t<1,0,sqrt(5)*sin(phi)-1)'
  []
[]

[Materials]
  [elastic_tensor]
    type = ComputeIsotropicElasticityTensor
    youngs_modulus = 1e5
    poissons_ratio = 0
  []
  [stress]
    type = ComputeLagrangianLinearElasticStress
  []
  [strain]
    type = ComputeLagrangianStrain
  []
[]

[Postprocessors]
  [sxx]
    type = ElementAverageValue
    variable = stress_xx
    execute_on = 'INITIAL TIMESTEP_END'
  []
  [syy]
    type = ElementAverageValue
    variable = stress_yy
    execute_on = 'INITIAL TIMESTEP_END'
  []
[]

[Executioner]
  type = Transient
  dt = 0.01
  end_time = '${fparse pi/2+1}'

  solve_type = NEWTON
  line_search = none

  petsc_options_iname = -pc_type
  petsc_options_value = lu
  automatic_scaling = true

  nl_abs_tol = 1e-10
  nl_rel_tol = 1e-10
[]

[Outputs]
  csv = true
[]

(modules/solid_mechanics/test/tests/mean_cap_TC/small_deform7.i)

# apply nonuniform stretch in x, y and z directions using
# Lame lambda = 0.7E7, Lame mu = 1.0E7,
# trial_stress(0, 0) = 2.9
# trial_stress(1, 1) = 10.9
# trial_stress(2, 2) = 14.9
# With tensile_strength = 2, decaying to zero at internal parameter = 4E-7
# via a Cubic, the algorithm should return to:
# internal parameter = 2.26829E-7
# trace(stress) = 0.799989 = tensile_strength
# stress(0, 0) = -6.4
# stress(1, 1) = 1.6
# stress(2, 2) = 5.6
# THEN apply a nonuniform compression in x, y, and z so that
# trial_stress(0, 0)
# With compressive_strength = -1, decaying to -0.5 at internal parameter 1E-8
# via a Cubic, the algorithm should return to
# trial_stress(0, 0) = -3.1
# trial_stress(1, 1) = -3.1
# trial_stress(2, 2) = 2.9
# the algorithm should return to trace(stress) = -0.5 = compressive_strength
# stress(0, 0) = -2.1667
# stress(1, 1) = -2.1667
# stress(2, 2) = 3.8333
# and internal parameter = 2.0406E-7

[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]


[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
[]

[Kernels]
  [SolidMechanics]
    displacements = 'disp_x disp_y disp_z'
  [../]
[]


[BCs]
  [./x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'front back'
    function = 'if(t<1.5,-1E-7*x,1E-7*x)'
  [../]
  [./y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'front back'
    function = 'if(t<1.5,3E-7*y,1E-7*y)'
  [../]
  [./z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'front back'
    function = 'if(t<1.5,5E-7*z,4E-7*z)'
  [../]
[]

[AuxVariables]
  [./stress_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./intnl]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]

[AuxKernels]
  [./stress_xx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xx
    index_i = 0
    index_j = 0
  [../]
  [./stress_xy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xy
    index_i = 0
    index_j = 1
  [../]
  [./stress_xz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xz
    index_i = 0
    index_j = 2
  [../]
  [./stress_yy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yy
    index_i = 1
    index_j = 1
  [../]
  [./stress_yz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yz
    index_i = 1
    index_j = 2
  [../]
  [./stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zz
    index_i = 2
    index_j = 2
  [../]
  [./f]
    type = MaterialStdVectorAux
    index = 0
    property = plastic_yield_function
    variable = f
  [../]
  [./intnl]
    type = MaterialStdVectorAux
    index = 0
    property = plastic_internal_parameter
    variable = intnl
  [../]
[]

[Postprocessors]
  [./s_xx]
    type = PointValue
    point = '0 0 0'
    variable = stress_xx
  [../]
  [./s_xy]
    type = PointValue
    point = '0 0 0'
    variable = stress_xy
  [../]
  [./s_xz]
    type = PointValue
    point = '0 0 0'
    variable = stress_xz
  [../]
  [./s_yy]
    type = PointValue
    point = '0 0 0'
    variable = stress_yy
  [../]
  [./s_yz]
    type = PointValue
    point = '0 0 0'
    variable = stress_yz
  [../]
  [./s_zz]
    type = PointValue
    point = '0 0 0'
    variable = stress_zz
  [../]
  [./f]
    type = PointValue
    point = '0 0 0'
    variable = f
  [../]
  [./intnl]
    type = PointValue
    point = '0 0 0'
    variable = intnl
  [../]
[]

[UserObjects]
  [./tensile_strength]
    type = SolidMechanicsHardeningCubic
    value_0 = 2
    value_residual = 0
    internal_limit = 4E-7
  [../]
  [./compressive_strength]
    type = SolidMechanicsHardeningCubic
    value_0 = -1
    value_residual = -0.5
    internal_limit = 1E-8
  [../]
  [./cap]
    type = SolidMechanicsPlasticMeanCapTC
    tensile_strength = tensile_strength
    compressive_strength = compressive_strength
    yield_function_tolerance = 1E-5
    internal_constraint_tolerance = 1E-11
    use_custom_returnMap = true
    use_custom_cto = true
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    block = 0
    fill_method = symmetric_isotropic
    C_ijkl = '0.7E7 1E7'
  [../]
  [./strain]
    type = ComputeIncrementalStrain
    block = 0
    displacements = 'disp_x disp_y disp_z'
  [../]
  [./mean_cap]
    type = ComputeMultiPlasticityStress
    block = 0
    ep_plastic_tolerance = 1E-11
    plastic_models = cap
  [../]
[]


[Executioner]
  end_time = 2
  dt = 1
  type = Transient
[]


[Outputs]
  file_base = small_deform7
  exodus = false
  [./csv]
    type = CSV
  [../]
[]

(modules/solid_mechanics/test/tests/weak_plane_shear/large_deform2.i)

# large strain with weak-plane normal rotating with mesh
# First rotate mesh 45deg about x axis
# Then apply stretch in the y=z direction.
# This should create a pure tensile load (no shear), which
# should return to the yield surface.
#
# Since cohesion=1E6 and tan(friction_angle)=1, and
# wps_smoother = 0.5E6, the apex of the weak-plane cone is
# at normal_stress = 0.5E6.  So, the result should be
# s_yy = s_yz = s_zz = 0.25E6
[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]

[Mesh]
  type = GeneratedMesh
  dim = 3
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]

[Physics/SolidMechanics/QuasiStatic/all]
  strain = FINITE
  add_variables = true
  generate_output = 'stress_xx stress_yy stress_yz stress_zz'
[]

[BCs]
  # rotate:
  # ynew = c*y + s*z.  znew = -s*y + c*z
  [bottomx]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = back
    function = '0'
  []
  [bottomy]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = back
    function = '0.70710678*y+0.70710678*z-y'
  []
  [bottomz]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = back
    function = '-0.70710678*y+0.70710678*z-z'
  []

  [topx]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = front
    function = '0'
  []
  [topy]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = front
    function = '0.70710678*y+0.70710678*z-y+if(t>0,1,0)'
  []
  [topz]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = front
    function = '-0.70710678*y+0.70710678*z-z+if(t>0,1,0)'
  []
[]

[AuxVariables]
  [yield_fcn]
    order = CONSTANT
    family = MONOMIAL
  []
[]

[AuxKernels]
  [yield_fcn_auxk]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 0
    variable = yield_fcn
  []
[]

[Postprocessors]
  [s_xx]
    type = PointValue
    point = '0 0 0'
    variable = stress_xx
  []
  [s_yy]
    type = PointValue
    point = '0 0 0'
    variable = stress_yy
  []
  [s_yz]
    type = PointValue
    point = '0 0 0'
    variable = stress_yz
  []
  [s_zz]
    type = PointValue
    point = '0 0 0'
    variable = stress_zz
  []
  [f]
    type = PointValue
    point = '0 0 0'
    variable = yield_fcn
  []
[]

[UserObjects]
  [coh]
    type = SolidMechanicsHardeningConstant
    value = 1E6
  []
  [tanphi]
    type = SolidMechanicsHardeningConstant
    value = 1
  []
  [tanpsi]
    type = SolidMechanicsHardeningConstant
    value = 0.111107723
  []
  [wps]
    type = SolidMechanicsPlasticWeakPlaneShear
    cohesion = coh
    tan_friction_angle = tanphi
    tan_dilation_angle = tanpsi
    smoother = 0.5E6
    yield_function_tolerance = 1E-9
    internal_constraint_tolerance = 1E-9
  []
[]

[Materials]
  [elasticity_tensor]
    type = ComputeElasticityTensor
    fill_method = symmetric_isotropic
    C_ijkl = '0 1E7'
  []
  [mc]
    type = ComputeMultiPlasticityStress
    plastic_models = wps
    transverse_direction = '0 0 1'
    ep_plastic_tolerance = 1E-8
    debug_fspb = crash
  []
[]

[Executioner]
  start_time = -1
  end_time = 1
  dt = 1
  type = Transient
[]


[Outputs]
  exodus = true
[]

(modules/xfem/test/tests/solid_mechanics_basic/square_branch_tri_2d.i)

[GlobalParams]
  displacements = 'disp_x disp_y'
  volumetric_locking_correction = true
[]

[XFEM]
  qrule = volfrac
  output_cut_plane = true
[]

[Mesh]
  type = GeneratedMesh
  dim = 2
  nx = 10
  ny = 10
  xmin = 0.0
  xmax = 1.0
  ymin = 0.0
  ymax = 1.0
  elem_type = TRI3
[]

[UserObjects]
  [./line_seg_cut_uo0]
    type = LineSegmentCutUserObject
    cut_data = '-1.0000e-10   6.6340e-01   6.6340e-01  -1.0000e-10'
    time_start_cut = 0.0
    time_end_cut = 1.0
  [../]
  [./line_seg_cut_uo1]
    type = LineSegmentCutUserObject
    cut_data = '3.3120e-01   3.3200e-01   1.0001e+00   3.3200e-01'
    time_start_cut = 1.0
    time_end_cut = 2.0
  [../]
[]

[Physics/SolidMechanics/QuasiStatic]
  [./all]
    strain = SMALL
    planar_formulation = PLANE_STRAIN
    add_variables = true
  [../]
[]

[Functions]
  [./right_disp_x]
    type = PiecewiseLinear
    x = '0  1.0    2.0   3.0'
    y = '0  0.005  0.01  0.01'
  [../]
  [./top_disp_y]
    type = PiecewiseLinear
    x = '0  1.0    2.0   3.0'
    y = '0  0.005  0.01  0.01'
  [../]
[]

[BCs]
  [./right_x]
    type = FunctionDirichletBC
    boundary = 1
    variable = disp_x
    function = right_disp_x
  [../]
  [./top_y]
    type = FunctionDirichletBC
    boundary = 2
    variable = disp_y
    function = top_disp_y
  [../]
  [./bottom_y]
    type = DirichletBC
    boundary = 0
    variable = disp_y
    value = 0.0
  [../]
  [./left_x]
    type = DirichletBC
    boundary = 3
    variable = disp_x
    value = 0.0
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeIsotropicElasticityTensor
    youngs_modulus = 1e6
    poissons_ratio = 0.3
  [../]
  [./stress]
    type = ComputeLinearElasticStress
  [../]
[]

[Executioner]
  type = Transient

  solve_type = 'PJFNK'
  petsc_options_iname = '-ksp_gmres_restart -pc_type -pc_hypre_type -pc_hypre_boomeramg_max_iter'
  petsc_options_value = '201                hypre    boomeramg      8'

  line_search = 'none'

  [./Predictor]
    type = SimplePredictor
    scale = 1.0
  [../]

# controls for linear iterations
  l_max_its = 100
  l_tol = 1e-2

# controls for nonlinear iterations
  nl_max_its = 15
  nl_rel_tol = 1e-16
  nl_abs_tol = 1e-10

# time control
  start_time = 0.0
  dt = 1.0
  end_time = 2.2
  num_steps = 5000
[]

[Outputs]
  file_base = square_branch_tri_2d_out
  exodus = true
  [./console]
    type = Console
    output_linear = true
  [../]
[]

(modules/solid_mechanics/test/tests/crystal_plasticity/monolithic_material_based/crysp_fileread.i)

[Mesh]
  type = GeneratedMesh
  dim = 3
  nx=1
  ny=1
  nz=1
  xmin=0.0
  xmax=1.0
  ymin=0.0
  ymax=1.0
  zmin=0.0
  zmax=1.0
  elem_type = HEX8
  displacements = 'disp_x disp_y disp_z'
[]

[Variables]
  [./disp_x]
    block = 0
  [../]
  [./disp_y]
    block = 0
  [../]
  [./disp_z]
    block = 0
  [../]
[]

[AuxVariables]
  [./stress_zz]
    order = CONSTANT
    family = MONOMIAL
    block = 0
  [../]
  [./fp_zz]
    order = CONSTANT
    family = MONOMIAL
    block = 0
  [../]
  [./rotout]
    order = CONSTANT
    family = MONOMIAL
    block = 0
  [../]
  [./e_zz]
    order = CONSTANT
    family = MONOMIAL
    block = 0
  [../]
  [./gss1]
    order = CONSTANT
    family = MONOMIAL
    block = 0
  [../]
[]

[Functions]
  [./tdisp]
    type = ParsedFunction
    expression = 0.01*t
  [../]
[]

[Kernels]
  [SolidMechanics]
    displacements = 'disp_x disp_y disp_z'
    use_displaced_mesh = true
  [../]
[]

[AuxKernels]
  [./stress_zz]
    type = RankTwoAux
    variable = stress_zz
    rank_two_tensor = stress
    index_j = 2
    index_i = 2
    execute_on = timestep_end
    block = 0
  [../]
  [./fp_zz]
    type = RankTwoAux
    variable = fp_zz
    rank_two_tensor = fp
    index_j = 2
    index_i = 2
    execute_on = 'initial timestep_end'
    block = 0
  [../]
  [./e_zz]
    type = RankTwoAux
    variable = e_zz
    rank_two_tensor = lage
    index_j = 2
    index_i = 2
    execute_on = timestep_end
    block = 0
  [../]
  [./gss1]
    type = MaterialStdVectorAux
    variable = gss1
    property = gss
    index = 0
    execute_on = 'initial timestep_end'
    block = 0
  [../]
[]

[BCs]
  [./symmy]
    type = DirichletBC
    variable = disp_y
    boundary = bottom
    value = 0
  [../]
  [./symmx]
    type = DirichletBC
    variable = disp_x
    boundary = left
    value = 0
  [../]
  [./symmz]
    type = DirichletBC
    variable = disp_z
    boundary = back
    value = 0
  [../]
  [./tdisp]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = front
    function = tdisp
  [../]
[]

[Materials]
  [./crysp]
    type = FiniteStrainCrystalPlasticity
    block = 0
    gtol = 1e-2
    slip_sys_file_name = input_slip_sys.txt
    slip_sys_res_prop_file_name = input_slip_sys_res.txt
    slip_sys_flow_prop_file_name = input_slip_sys_flow_prop.txt
    hprops = '1.0 541.5 60.8 109.8 2.5'
    nss = 12
    intvar_read_type = slip_sys_res_file
  [../]
  [./elasticity_tensor]
    type = ComputeElasticityTensorCP
    block = 0
    C_ijkl = '1.684e5 1.214e5 1.214e5 1.684e5 1.214e5 1.684e5 0.754e5 0.754e5 0.754e5'
    fill_method = symmetric9
  [../]
  [./strain]
    type = ComputeFiniteStrain
    block = 0
    displacements = 'disp_x disp_y disp_z'
  [../]
[]

[Postprocessors]
  [./stress_zz]
    type = ElementAverageValue
    variable = stress_zz
    execute_on = 'initial timestep_end'
  [../]
  [./fp_zz]
    type = ElementAverageValue
    variable = fp_zz
    execute_on = 'initial timestep_end'
  [../]
  [./e_zz]
    type = ElementAverageValue
    variable = e_zz
    execute_on = 'initial timestep_end'
  [../]
  [./gss1]
    type = ElementAverageValue
    variable = gss1
    execute_on = 'initial timestep_end'
  [../]
[]

[Preconditioning]
  [./smp]
    type = SMP
    full = true
  [../]
[]

[Executioner]
  type = Transient

  #Preconditioned JFNK (default)
  solve_type = 'PJFNK'

  petsc_options_iname = '-pc_type'
  petsc_options_value = 'lu'

  nl_rel_tol = 1e-10
  nl_abs_tol = 1e-10

  dt = 0.05
  dtmax = 10.0
  dtmin = 0.05

  num_steps = 10
[]

[Outputs]
  file_base = crysp_fileread_out
  exodus = true
[]

(test/tests/geomsearch/2d_moving_penetration/restart2.i)

[GlobalParams]
  order = FIRST
  family = LAGRANGE
[]

[Mesh]
  file = pl_test1.e
  displacements = 'disp_x disp_y'
[]

[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
[]

[AuxVariables]
  [./distance]
  [../]
  [./tangential_distance]
  [../]
  [./normal_x]
  [../]
  [./normal_y]
  [../]
  [./closest_point_x]
  [../]
  [./closest_point_y]
  [../]
  [./element_id]
  [../]
  [./side]
  [../]
[]

[Kernels]
  [./diff_x]
    type = Diffusion
    variable = disp_x
  [../]
  [./diff_y]
    type = Diffusion
    variable = disp_y
  [../]
[]

[AuxKernels]
  [./penetrate]
    type = PenetrationAux
    variable = distance
    boundary = 11            #secondary
    paired_boundary = 12     #primary
  [../]

  [./penetrate2]
    type = PenetrationAux
    variable = distance
    boundary = 12            #secondary
    paired_boundary = 11     #primary
  [../]

  [./penetrate3]
    type = PenetrationAux
    variable = tangential_distance
    boundary = 11
    paired_boundary = 12
    quantity = tangential_distance
  [../]

  [./penetrate4]
    type = PenetrationAux
    variable = tangential_distance
    boundary = 12
    paired_boundary = 11
    quantity = tangential_distance
  [../]

  [./penetrate5]
    type = PenetrationAux
    variable = normal_x
    boundary = 11
    paired_boundary = 12
    quantity = normal_x
  [../]

  [./penetrate6]
    type = PenetrationAux
    variable = normal_x
    boundary = 12
    paired_boundary = 11
    quantity = normal_x
  [../]

  [./penetrate7]
    type = PenetrationAux
    variable = normal_y
    boundary = 11
    paired_boundary = 12
    quantity = normal_y
  [../]

  [./penetrate8]
    type = PenetrationAux
    variable = normal_y
    boundary = 12
    paired_boundary = 11
    quantity = normal_y
  [../]

  [./penetrate9]
    type = PenetrationAux
    variable = closest_point_x
    boundary = 11
    paired_boundary = 12
    quantity = closest_point_x
  [../]

  [./penetrate10]
    type = PenetrationAux
    variable = closest_point_x
    boundary = 12
    paired_boundary = 11
    quantity = closest_point_x
  [../]

  [./penetrate11]
    type = PenetrationAux
    variable = closest_point_y
    boundary = 11
    paired_boundary = 12
    quantity = closest_point_y
  [../]

  [./penetrate12]
    type = PenetrationAux
    variable = closest_point_y
    boundary = 12
    paired_boundary = 11
    quantity = closest_point_y
  [../]

  [./penetrate13]
    type = PenetrationAux
    variable = element_id
    boundary = 11
    paired_boundary = 12
    quantity = element_id
  [../]

  [./penetrate14]
    type = PenetrationAux
    variable = element_id
    boundary = 12
    paired_boundary = 11
    quantity = element_id
  [../]

  [./penetrate15]
    type = PenetrationAux
    variable = side
    boundary = 11
    paired_boundary = 12
    quantity = side
  [../]

  [./penetrate16]
    type = PenetrationAux
    variable = side
    boundary = 12
    paired_boundary = 11
    quantity = side
  [../]
[]

[BCs]
  [./b1x]
    type = DirichletBC
    variable = disp_x
    boundary = 1
    value = 0
  [../]

  [./b1y]
    type = DirichletBC
    variable = disp_y
    boundary = 1
    value = 0
  [../]

  [./b2x]
    type = DirichletBC
    variable = disp_x
    boundary = 2
    value = 0
  [../]

  [./b2y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 2
    function = disp_y
  [../]
[]

[Functions]
  [./disp_y]
    type = PiecewiseLinear
    x = '0.0 0.25 0.75 1.0'
    y = '0.0 0.7 -0.7  0.0'
  [../]
[]

[Executioner]
  type = Transient

  solve_type = 'PJFNK'
  petsc_options = '-snes_ksp_ew'

  nl_rel_tol = 1e-9
  l_max_its = 10

  dt = 0.05
  end_time = 1.0
[]

[Outputs]
  exodus = true
[]

[Problem]
  restart_file_base = restart_out_cp/0010
[]

(modules/solid_mechanics/test/tests/isotropicSD_plasticity/isotropicSD.i)

# UserObject IsotropicSD test, with constant hardening.
# Linear strain is applied in the x and y direction.

[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin =  -.5
  xmax = .5
  ymin = -.5
  ymax = .5
  zmin = -.5
  zmax = .5
[]


[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
[]

[Kernels]
  [SolidMechanics]
    displacements = 'disp_x disp_y disp_z'
  [../]
[]


[BCs]
  [./xdisp]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'right'
    function = '0.005*t'
  [../]
  [./ydisp]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'top'
    function = '0.005*t'
  [../]
  [./yfix]
    type = DirichletBC
    variable = disp_y
    boundary = 'bottom'
    value = 0
  [../]
  [./xfix]
    type = DirichletBC
    variable = disp_x
    boundary = 'left'
    value = 0
  [../]
  [./zfix]
    type = DirichletBC
    variable = disp_z
    boundary = 'back'
    value = 0
  [../]
[]

[AuxVariables]
  [./stress_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./plastic_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./plastic_xy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./plastic_xz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./plastic_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./plastic_yz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./plastic_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./iter]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./intnl]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./sdev]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./sdet]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]

[AuxKernels]
  [./stress_xx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xx
    index_i = 0
    index_j = 0
  [../]
  [./stress_xy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xy
    index_i = 0
    index_j = 1
  [../]
  [./stress_xz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xz
    index_i = 0
    index_j = 2
  [../]
  [./stress_yy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yy
    index_i = 1
    index_j = 1
  [../]
  [./stress_yz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yz
    index_i = 1
    index_j = 2
  [../]
  [./stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zz
    index_i = 2
    index_j = 2
  [../]
  [./plastic_xx]
    type = RankTwoAux
    rank_two_tensor = plastic_strain
    variable = plastic_xx
    index_i = 0
    index_j = 0
  [../]
  [./plastic_xy]
    type = RankTwoAux
    rank_two_tensor = plastic_strain
    variable = plastic_xy
    index_i = 0
    index_j = 1
  [../]
  [./plastic_xz]
    type = RankTwoAux
    rank_two_tensor = plastic_strain
    variable = plastic_xz
    index_i = 0
    index_j = 2
  [../]
  [./plastic_yy]
    type = RankTwoAux
    rank_two_tensor = plastic_strain
    variable = plastic_yy
    index_i = 1
    index_j = 1
  [../]
  [./plastic_yz]
    type = RankTwoAux
    rank_two_tensor = plastic_strain
    variable = plastic_yz
    index_i = 1
    index_j = 2
  [../]
  [./plastic_zz]
    type = RankTwoAux
    rank_two_tensor = plastic_strain
    variable = plastic_zz
    index_i = 2
    index_j = 2
  [../]
  [./f]
    type = MaterialStdVectorAux
    index = 0
    property = plastic_yield_function
    variable = f
  [../]
  [./iter]
    type = MaterialRealAux
    property = plastic_NR_iterations
    variable = iter
  [../]
  [./intnl]
    type = MaterialStdVectorAux
    index = 0
    property = plastic_internal_parameter
    variable = intnl
  [../]
  [./sdev]
    type = RankTwoScalarAux
    variable = sdev
    rank_two_tensor = stress
    scalar_type = VonMisesStress
  [../]
[]

[Postprocessors]
  [./sdev]
    type = PointValue
    point = '0 0 0'
    variable = sdev
  [../]
  [./s_xx]
    type = PointValue
    point = '0 0 0'
    variable = stress_xx
  [../]
  [./p_xx]
    type = PointValue
    point = '0 0 0'
    variable = plastic_xx
  [../]
  [./s_xy]
    type = PointValue
    point = '0 0 0'
    variable = stress_xy
  [../]
  [./p_xy]
    type = PointValue
    point = '0 0 0'
    variable = plastic_xy
  [../]
  [./p_xz]
    type = PointValue
    point = '0 0 0'
    variable = plastic_xz
  [../]
  [./p_yz]
    type = PointValue
    point = '0 0 0'
    variable = plastic_yz
  [../]
  [./s_xz]
    type = PointValue
    point = '0 0 0'
    variable = stress_xz
  [../]
  [./s_yy]
    type = PointValue
    point = '0 0 0'
    variable = stress_yy
  [../]
  [./p_yy]
    type = PointValue
    point = '0 0 0'
    variable = plastic_yy
  [../]
  [./s_yz]
    type = PointValue
    point = '0 0 0'
    variable = stress_yz
  [../]
  [./s_zz]
    type = PointValue
    point = '0 0 0'
    variable = stress_zz
  [../]
  [./p_zz]
    type = PointValue
    point = '0 0 0'
    variable = plastic_zz
  [../]
  [./intnl]
    type = PointValue
    point = '0 0 0'
    variable = intnl
  [../]
[]

[UserObjects]
  [./str]
    type = SolidMechanicsHardeningConstant
    value = 300
  [../]
  [./IsotropicSD]
    type = SolidMechanicsPlasticIsotropicSD
    b = -0.2
    c = -0.779422863
    associative = true
    yield_strength = str
    yield_function_tolerance = 1e-5
    internal_constraint_tolerance = 1e-9
    use_custom_returnMap = false
    use_custom_cto = false
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    block = 0
    fill_method = symmetric_isotropic
    C_ijkl = '121e3 80e3'
  [../]
  [./strain]
    type = ComputeFiniteStrain
    block = 0
    displacements = 'disp_x disp_y disp_z'
  [../]
  [./mc]
    type = ComputeMultiPlasticityStress
    block = 0
    ep_plastic_tolerance = 1e-9
    plastic_models = IsotropicSD
    debug_fspb = crash
    tangent_operator = elastic
  [../]
[]


[Executioner]
  num_steps = 3
  dt = .5
  type = Transient

  nl_rel_tol = 1e-6
  nl_max_its = 10
  l_tol = 1e-4
  l_max_its = 50

  solve_type = PJFNK
  petsc_options_iname = '-pc_type'
  petsc_options_value = 'lu'
[]


[Outputs]
  perf_graph = false
  csv = true
[]

[Preconditioning]
 [./smp]
   type = SMP
   full = true
 [../]
[]

(modules/solid_mechanics/test/tests/weak_plane_shear/small_deform_harden1.i)

# apply repeated stretches to observe cohesion hardening
[GlobalParams]
  displacements = 'x_disp y_disp z_disp'
[]

[Mesh]
  type = GeneratedMesh
  dim = 3
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]

[Physics/SolidMechanics/QuasiStatic/all]
  strain = FINITE
  add_variables = true
  generate_output = 'stress_xz stress_zx stress_yz stress_zz'
[]

[BCs]
  [bottomx]
    type = DirichletBC
    variable = x_disp
    boundary = back
    value = 0.0
  []
  [bottomy]
    type = DirichletBC
    variable = y_disp
    boundary = back
    value = 0.0
  []
  [bottomz]
    type = DirichletBC
    variable = z_disp
    boundary = back
    value = 0.0
  []

  [topx]
    type = FunctionDirichletBC
    variable = x_disp
    boundary = front
    function = '0'
  []
  [topy]
    type = FunctionDirichletBC
    variable = y_disp
    boundary = front
    function = '0'
  []
  [topz]
    type = FunctionDirichletBC
    variable = z_disp
    boundary = front
    function = '2*t'
  []
[]

[AuxVariables]
  [wps_internal]
    order = CONSTANT
    family = MONOMIAL
  []
  [yield_fcn]
    order = CONSTANT
    family = MONOMIAL
  []
[]

[AuxKernels]
  [wps_internal_auxk]
    type = MaterialStdVectorAux
    property = plastic_internal_parameter
    index = 0
    variable = wps_internal
  []
  [yield_fcn_auxk]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 0
    variable = yield_fcn
  []
[]

[Postprocessors]
  [s_xz]
    type = PointValue
    point = '0 0 0'
    variable = stress_xz
  []
  [s_yz]
    type = PointValue
    point = '0 0 0'
    variable = stress_yz
  []
  [s_zz]
    type = PointValue
    point = '0 0 0'
    variable = stress_zz
  []
  [f]
    type = PointValue
    point = '0 0 0'
    variable = yield_fcn
  []
  [int]
    type = PointValue
    point = '0 0 0'
    variable = wps_internal
  []
[]

[UserObjects]
  [coh]
    type = SolidMechanicsHardeningExponential
    value_0 = 1E3
    value_residual = 2E3
    rate = 4E4
  []
  [tanphi]
    type = SolidMechanicsHardeningConstant
    value = 1.0
  []
  [tanpsi]
    type = SolidMechanicsHardeningConstant
    value = 0.01745506
  []
  [wps]
    type = SolidMechanicsPlasticWeakPlaneShear
    cohesion = coh
    tan_friction_angle = tanphi
    tan_dilation_angle = tanpsi
    smoother = 500
    yield_function_tolerance = 1E-3
    internal_constraint_tolerance = 1E-3
  []
[]

[Materials]
  [elasticity_tensor]
    type = ComputeElasticityTensor
    fill_method = symmetric_isotropic
    C_ijkl = '1E9 0.5E9'
  []
  [mc]
    type = ComputeMultiPlasticityStress
    plastic_models = wps
    transverse_direction = '0 0 1'
    ep_plastic_tolerance = 1E-3
    debug_fspb = crash
  []
[]


[Executioner]
  end_time = 1E-6
  dt = 1E-7
  type = Transient
[]


[Outputs]
  csv = true
[]

(modules/contact/test/tests/mortar_tm/2d/frictionless_first/small.i)

E_block = 1e7
E_plank = 1e7
elem = QUAD4
order = FIRST
name = 'small'

[Mesh]
  patch_size = 80
  patch_update_strategy = auto
  [plank]
    type = GeneratedMeshGenerator
    dim = 2
    xmin = -0.3
    xmax = 0.3
    ymin = -10
    ymax = 10
    nx = 2
    ny = 67
    elem_type = ${elem}
    boundary_name_prefix = plank
  []
  [plank_id]
    type = SubdomainIDGenerator
    input = plank
    subdomain_id = 1
  []

  [block]
    type = GeneratedMeshGenerator
    dim = 2
    xmin = 0.31
    xmax = 0.91
    ymin = 7.7
    ymax = 8.5
    nx = 3
    ny = 4
    elem_type = ${elem}
    boundary_name_prefix = block
    boundary_id_offset = 10
  []
  [block_id]
    type = SubdomainIDGenerator
    input = block
    subdomain_id = 2
  []

  [combined]
    type = MeshCollectionGenerator
    inputs = 'plank_id block_id'
  []
  [block_rename]
    type = RenameBlockGenerator
    input = combined
    old_block = '1 2'
    new_block = 'plank block'
  []
[]

[GlobalParams]
  displacements = 'disp_x disp_y'
[]

[Variables]
  [disp_x]
    order = ${order}
    block = 'plank block'
    scaling = '${fparse 2.0 / (E_plank + E_block)}'
  []
  [disp_y]
    order = ${order}
    block = 'plank block'
    scaling = '${fparse 2.0 / (E_plank + E_block)}'
  []
[]

[Physics/SolidMechanics/QuasiStatic]
  [action]
    generate_output = 'stress_xx stress_yy stress_zz vonmises_stress hydrostatic_stress strain_xx '
                      'strain_yy strain_zz'
    block = 'plank block'
  []
[]

[Contact]
  [frictionless]
    primary = plank_right
    secondary = block_left
    formulation = mortar
    c_normal = 1e0
  []
[]

[BCs]
  [left_x]
    type = DirichletBC
    variable = disp_x
    boundary = plank_left
    value = 0.0
  []
  [left_y]
    type = DirichletBC
    variable = disp_y
    boundary = plank_bottom
    value = 0.0
  []
  [right_x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = block_right
    function = '-0.04*sin(4*(t+1.5))+0.02'
  []
  [right_y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = block_right
    function = '-t'
  []
[]

[Materials]
  [plank]
    type = ComputeIsotropicElasticityTensor
    block = 'plank'
    poissons_ratio = 0.3
    youngs_modulus = ${E_plank}
  []
  [block]
    type = ComputeIsotropicElasticityTensor
    block = 'block'
    poissons_ratio = 0.3
    youngs_modulus = ${E_block}
  []
  [stress]
    type = ComputeLinearElasticStress
    block = 'plank block'
  []
[]

[Preconditioning]
  [smp]
    type = SMP
    full = true
  []
[]

[Executioner]
  type = Transient
  solve_type = 'PJFNK'
  petsc_options = '-snes_converged_reason -ksp_converged_reason'
  petsc_options_iname = '-pc_type -mat_mffd_err -pc_factor_shift_type -pc_factor_shift_amount'
  petsc_options_value = 'lu       1e-5          NONZERO               1e-15'
  end_time = 13.5
  dt = 0.1
  dtmin = 0.1
  timestep_tolerance = 1e-6
  line_search = 'contact'
[]

[Postprocessors]
  [nl_its]
    type = NumNonlinearIterations
  []
  [total_nl_its]
    type = CumulativeValuePostprocessor
    postprocessor = nl_its
  []
  [l_its]
    type = NumLinearIterations
  []
  [total_l_its]
    type = CumulativeValuePostprocessor
    postprocessor = l_its
  []
  [contact]
    type = ContactDOFSetSize
    variable = frictionless_normal_lm
    subdomain = frictionless_secondary_subdomain
  []
  [avg_hydro]
    type = ElementAverageValue
    variable = hydrostatic_stress
    block = 'block'
  []
  [max_hydro]
    type = ElementExtremeValue
    variable = hydrostatic_stress
    block = 'block'
  []
  [min_hydro]
    type = ElementExtremeValue
    variable = hydrostatic_stress
    block = 'block'
    value_type = min
  []
  [avg_vonmises]
    type = ElementAverageValue
    variable = vonmises_stress
    block = 'block'
  []
  [max_vonmises]
    type = ElementExtremeValue
    variable = vonmises_stress
    block = 'block'
  []
  [min_vonmises]
    type = ElementExtremeValue
    variable = vonmises_stress
    block = 'block'
    value_type = min
  []
[]

[Outputs]
  file_base = ${name}
  [comp]
    type = CSV
    show = 'contact'
  []
  [out]
    type = CSV
    file_base = '${name}_out'
  []
[]

[Debug]
  show_var_residual_norms = true
[]

(modules/solid_mechanics/test/tests/mohr_coulomb/uni_axial1.i)

[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]

[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
[]

[Kernels]
  [SolidMechanics]
    displacements = 'disp_x disp_y disp_z'
  [../]
[]


[BCs]
  # back = zmin
  # front = zmax
  # bottom = ymin
  # top = ymax
  # left = xmin
  # right = xmax
  [./xmin_xzero]
    type = DirichletBC
    variable = disp_x
    boundary = 'left'
    value = '0'
  [../]
  [./ymin_yzero]
    type = DirichletBC
    variable = disp_y
    boundary = 'bottom'
    value = '0'
  [../]
  [./zmin_zzero]
    type = DirichletBC
    variable = disp_z
    boundary = 'back'
    value = '0'
  [../]
  [./zmax_disp]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'front'
    function = '-1E-3*t'
  [../]
[]

[AuxVariables]
  [./stress_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./mc_int]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./yield_fcn]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]

[AuxKernels]
  [./stress_xx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xx
    index_i = 0
    index_j = 0
  [../]
  [./stress_xy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xy
    index_i = 0
    index_j = 1
  [../]
  [./stress_xz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xz
    index_i = 0
    index_j = 2
  [../]
  [./stress_yy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yy
    index_i = 1
    index_j = 1
  [../]
  [./stress_yz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yz
    index_i = 1
    index_j = 2
  [../]
  [./stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zz
    index_i = 2
    index_j = 2
  [../]
  [./mc_int_auxk]
    type = MaterialStdVectorAux
    index = 0
    property = plastic_internal_parameter
    variable = mc_int
  [../]
  [./yield_fcn_auxk]
    type = MaterialStdVectorAux
    index = 0
    property = plastic_yield_function
    variable = yield_fcn
  [../]
[]

[Postprocessors]
  [./s_xx]
    type = PointValue
    point = '0 0 0'
    variable = stress_xx
  [../]
  [./s_xy]
    type = PointValue
    point = '0 0 0'
    variable = stress_xy
  [../]
  [./s_xz]
    type = PointValue
    point = '0 0 0'
    variable = stress_xz
  [../]
  [./s_yy]
    type = PointValue
    point = '0 0 0'
    variable = stress_yy
  [../]
  [./s_yz]
    type = PointValue
    point = '0 0 0'
    variable = stress_yz
  [../]
  [./s_zz]
    type = PointValue
    point = '0 0 0'
    variable = stress_zz
  [../]
  [./mc_int]
    type = PointValue
    point = '0 0 0'
    variable = mc_int
  [../]
  [./f]
    type = PointValue
    point = '0 0 0'
    variable = yield_fcn
  [../]
[]

[UserObjects]
  [./mc_coh]
    type = SolidMechanicsHardeningConstant
    value = 10E6
  [../]
  [./mc_phi]
    type = SolidMechanicsHardeningExponential
    value_0 = 0
    value_residual = 0.6981317 # 40deg
    rate = 10000
  [../]
  [./mc_psi]
    type = SolidMechanicsHardeningConstant
    value = 0
  [../]
  [./mc]
    type = SolidMechanicsPlasticMohrCoulomb
    cohesion = mc_coh
    friction_angle = mc_phi
    dilation_angle = mc_psi
    mc_tip_smoother = 0
    mc_edge_smoother = 25
    yield_function_tolerance = 1E-3
    internal_constraint_tolerance = 1E-10
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    block = 0
    fill_method = symmetric_isotropic
    C_ijkl = '5.77E10 3.85E10' # young = 100Gpa, poisson = 0.3
  [../]
  [./strain]
    type = ComputeFiniteStrain
    block = 0
    displacements = 'disp_x disp_y disp_z'
  [../]
  [./mc]
    type = ComputeMultiPlasticityStress
    block = 0
    ep_plastic_tolerance = 1E-10
    plastic_models = mc
    max_NR_iterations = 1000
    debug_fspb = crash
  [../]
[]

[Preconditioning]
  [./andy]
    type = SMP
    full = true
  [../]
[]


[Executioner]
  end_time = 0.5
  dt = 0.05
  solve_type = PJFNK  # cannot use NEWTON because we are using ComputeFiniteStrain, and hence the Jacobian contributions will not be correct, even though ComputeMultiPlasticityStress will compute the correct consistent tangent operator for small strains
  type = Transient

  line_search = 'none'
  nl_rel_tol = 1E-10
  l_tol = 1E-3
  l_max_its = 200
  nl_max_its = 10

  petsc_options_iname = '-pc_type -pc_asm_overlap -sub_pc_type -ksp_type -ksp_gmres_restart'
  petsc_options_value = ' asm      2              lu            gmres     200'
[]



[Outputs]
  file_base = uni_axial1
  exodus = true
  [./csv]
    type = CSV
    [../]
[]

(test/tests/outputs/variables/nemesis_hide.i)

# Solving for 2 variables, putting one into hide list and the other one into show list
# We should only see the variable that is in show list in the output.

[Mesh]
  [gen]
    type = GeneratedMeshGenerator
    dim = 2
    xmin = 0
    xmax = 1
    ymin = 0
    ymax = 1
    nx = 2
    ny = 2
    elem_type = QUAD4
  []
  # This should be the same as passing --distributed-mesh on the
  # command line. You can verify this by looking at what MOOSE prints
  # out for the "Mesh" information.
  parallel_type = distributed

  [./Partitioner]
    type = LibmeshPartitioner
    partitioner = linear
  [../]
[]

[Functions]
  [./fn_x]
    type = ParsedFunction
    expression = x
  [../]
  [./fn_y]
    type = ParsedFunction
    expression = y
  [../]
[]

[Variables]
  [./u]
  [../]
  [./v]
  [../]
[]

[AuxVariables]
  [./aux_u]
  [../]
  [./aux_v]
  [../]
  [./proc_id]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]

[Kernels]
  [./diff_u]
    type = Diffusion
    variable = u
  [../]

  [./diff_v]
    type = Diffusion
    variable = v
  [../]
[]

[AuxKernels]
  [./auxk_u]
    type = FunctionAux
    variable = aux_u
    function = 'x*x+y*y'
  [../]
  [./auxk_v]
    type = FunctionAux
    variable = aux_v
    function = '-(x*x+y*y)'
  [../]
  [./auxk_proc_id]
    variable = proc_id
    type = ProcessorIDAux
  [../]
[]

[BCs]
  [./u_bc]
    type = FunctionDirichletBC
    variable = u
    boundary = '1 3'
    function = fn_x
  [../]

  [./v_bc]
    type = FunctionDirichletBC
    variable = v
    boundary = '0 2'
    function = fn_y
  [../]
[]

[Executioner]
  type = Steady
  solve_type = 'NEWTON'
[]

[Outputs]
  console = true
  [./out]
    type = Nemesis
    hide = 'u aux_v'
  [../]
[]

(modules/solid_mechanics/test/tests/line_material_rank_two_sampler/rank_two_scalar_sampler.i)

[GlobalParams]
  displacements = 'x_disp y_disp z_disp'
[]

[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 3
  ny = 3
  nz = 3
  elem_type = HEX
[]

[Functions]
  [./rampConstant]
    type = PiecewiseLinear
    x = '0. 1.'
    y = '0. 1.'
    scale_factor = 1e-6
  [../]
[]

[Variables]
  [./x_disp]
    order = FIRST
    family = LAGRANGE
  [../]
  [./y_disp]
    order = FIRST
    family = LAGRANGE
  [../]
  [./z_disp]
    order = FIRST
    family = LAGRANGE
  [../]
[]

[AuxVariables]
  [./vonmises]
    order = CONSTANT
    family = MONOMIAL
 [../]
 [./stress_xx]
    order = CONSTANT
    family = MONOMIAL
 [../]
[]

[AuxKernels]
  [./vonmises]
    type = RankTwoScalarAux
    rank_two_tensor = stress
    variable = vonmises
    scalar_type = VonMisesStress
  [../]
[]

[VectorPostprocessors]
  [./vonmises]
    type = LineMaterialRankTwoScalarSampler
    start = '0.1667 0.4 0.45'
    end   = '0.8333 0.6 0.55'
    property = stress
    scalar_type = VonMisesStress
    sort_by = id
  [../]
[]

[Kernels]
  [SolidMechanics]
    use_displaced_mesh = true
  [../]
[]

[BCs]
  [./front]
    type = FunctionDirichletBC
    variable = z_disp
    boundary = 5
    function = rampConstant
  [../]
  [./back_x]
    type = DirichletBC
    variable = x_disp
    boundary = 0
    value = 0.0
  [../]
  [./back_y]
    type = DirichletBC
    variable = y_disp
    boundary = 0
    value = 0.0
  [../]
  [./back_z]
    type = DirichletBC
    variable = z_disp
    boundary = 0
    value = 0.0
  [../]
[]

[Materials]
  [./elast_tensor]
    type = ComputeIsotropicElasticityTensor
    youngs_modulus = 1e6
    poissons_ratio = .3
  [../]
  [./strain]
    type = ComputeSmallStrain
  [../]
  [./stress]
    type = ComputeLinearElasticStress
  [../]
[]

[Executioner]
  type = Transient

  solve_type = PJFNK

  l_max_its = 100

  start_time = 0.0
  num_steps = 99999
  end_time = 1.0
  dt = 0.1
[]

[Outputs]
  file_base = rank_two_scalar_sampler_out
  csv = true
[]

(modules/navier_stokes/test/tests/finite_element/ins/mms/supg/supg_adv_dominated_mms.i)

mu=1.5e-2
rho=2.5

[GlobalParams]
  gravity = '0 0 0'
  supg = true
  convective_term = true
  integrate_p_by_parts = false
  transient_term = true
  laplace = true
  u = vel_x
  v = vel_y
  pressure = p
  alpha = 1e0
  order = SECOND
  family = LAGRANGE
[]

[Mesh]
  [gen]
    type = GeneratedMeshGenerator
    dim = 2
    xmin = 0
    xmax = 1.0
    ymin = 0
    ymax = 1.0
    elem_type = QUAD9
    nx = 4
    ny = 4
  []
  [./corner_node]
    type = ExtraNodesetGenerator
    new_boundary = 'pinned_node'
    nodes = '0'
    input = gen
  [../]
[]

[Variables]
  [./vel_x]
  [../]

  [./vel_y]
  [../]

  [./p]
    order = FIRST
  [../]
[]

[Kernels]
  # mass
  [./mass]
    type = INSMass
    variable = p
  [../]

  [./x_time]
    type = INSMomentumTimeDerivative
    variable = vel_x
  [../]
  [./y_time]
    type = INSMomentumTimeDerivative
    variable = vel_y
  [../]

  # x-momentum, space
  [./x_momentum_space]
    type = INSMomentumLaplaceForm
    variable = vel_x
    component = 0
    forcing_func = vel_x_source_func
  [../]

  # y-momentum, space
  [./y_momentum_space]
    type = INSMomentumLaplaceForm
    variable = vel_y
    component = 1
    forcing_func = vel_y_source_func
  [../]

  [./p_source]
    type = BodyForce
    function = p_source_func
    variable = p
  [../]
[]

[BCs]
  [./vel_x]
    type = FunctionDirichletBC
    boundary = 'left right top bottom'
    function = vel_x_func
    variable = vel_x
  [../]
  [./vel_y]
    type = FunctionDirichletBC
    boundary = 'left right top bottom'
    function = vel_y_func
    variable = vel_y
  [../]
  [./p]
    type = FunctionDirichletBC
    boundary = 'left right top bottom'
    function = p_func
    variable = p
  [../]
[]

[Functions]
  [./vel_x_source_func]
    type = ParsedFunction
    expression = '-${mu}*(-0.028*pi^2*x^2*sin(0.2*pi*x*y) - 0.028*pi^2*y^2*sin(0.2*pi*x*y) - 0.1*pi^2*sin(0.5*pi*x) - 0.4*pi^2*sin(pi*y)) + ${rho}*(0.14*pi*x*cos(0.2*pi*x*y) + 0.4*pi*cos(pi*y))*(0.6*sin(0.8*pi*x) + 0.3*sin(0.3*pi*y) + 0.2*sin(0.3*pi*x*y) + 0.3) + ${rho}*(0.14*pi*y*cos(0.2*pi*x*y) + 0.2*pi*cos(0.5*pi*x))*(0.4*sin(0.5*pi*x) + 0.4*sin(pi*y) + 0.7*sin(0.2*pi*x*y) + 0.5) + 0.1*pi*y*cos(0.2*pi*x*y) + 0.25*pi*cos(0.5*pi*x)'
  [../]
  [./vel_y_source_func]
    type = ParsedFunction
    expression = '-${mu}*(-0.018*pi^2*x^2*sin(0.3*pi*x*y) - 0.018*pi^2*y^2*sin(0.3*pi*x*y) - 0.384*pi^2*sin(0.8*pi*x) - 0.027*pi^2*sin(0.3*pi*y)) + ${rho}*(0.06*pi*x*cos(0.3*pi*x*y) + 0.09*pi*cos(0.3*pi*y))*(0.6*sin(0.8*pi*x) + 0.3*sin(0.3*pi*y) + 0.2*sin(0.3*pi*x*y) + 0.3) + ${rho}*(0.06*pi*y*cos(0.3*pi*x*y) + 0.48*pi*cos(0.8*pi*x))*(0.4*sin(0.5*pi*x) + 0.4*sin(pi*y) + 0.7*sin(0.2*pi*x*y) + 0.5) + 0.1*pi*x*cos(0.2*pi*x*y) + 0.3*pi*cos(0.3*pi*y)'
  [../]
  [./p_source_func]
    type = ParsedFunction
    expression = '-0.06*pi*x*cos(0.3*pi*x*y) - 0.14*pi*y*cos(0.2*pi*x*y) - 0.2*pi*cos(0.5*pi*x) - 0.09*pi*cos(0.3*pi*y)'
  [../]
  [./vel_x_func]
    type = ParsedFunction
    expression = '0.4*sin(0.5*pi*x) + 0.4*sin(pi*y) + 0.7*sin(0.2*pi*x*y) + 0.5'
  [../]
  [./vel_y_func]
    type = ParsedFunction
    expression = '0.6*sin(0.8*pi*x) + 0.3*sin(0.3*pi*y) + 0.2*sin(0.3*pi*x*y) + 0.3'
  [../]
  [./p_func]
    type = ParsedFunction
    expression = '0.5*sin(0.5*pi*x) + 1.0*sin(0.3*pi*y) + 0.5*sin(0.2*pi*x*y) + 0.5'
  [../]
  [./vxx_func]
    type = ParsedFunction
    expression = '0.14*pi*y*cos(0.2*pi*x*y) + 0.2*pi*cos(0.5*pi*x)'
  [../]
[]

[Materials]
  [./const]
    type = GenericConstantMaterial
    block = 0
    prop_names = 'rho mu'
    prop_values = '${rho}  ${mu}'
  [../]
[]

[Preconditioning]
  [./SMP]
    type = SMP
    full = true
    solve_type = 'NEWTON'
  [../]
[]

[Executioner]
  type = Transient
  num_steps = 10
  petsc_options = '-snes_converged_reason -ksp_converged_reason'
  petsc_options_iname = '-pc_type -pc_factor_shift_type'
  petsc_options_value = 'lu NONZERO'
  line_search = 'none'
  nl_rel_tol = 1e-8
  nl_abs_tol = 1e-14
  nl_max_its = 10
  l_tol = 1e-6
  l_max_its = 10
  [./TimeStepper]
    dt = .05
    type = IterationAdaptiveDT
    cutback_factor = 0.4
    growth_factor = 1.2
    optimal_iterations = 20
  [../]
[]

[Outputs]
  execute_on = 'final'
  [./exodus]
    type = Exodus
  [../]
  [./csv]
    type = CSV
  [../]
[]

[Postprocessors]
  [./L2vel_x]
    type = ElementL2Error
    variable = vel_x
    function = vel_x_func
    outputs = 'console'    execute_on = 'timestep_end'
  [../]
  [./L2vel_y]
    variable = vel_y
    function = vel_y_func
    type = ElementL2Error
    outputs = 'console'    execute_on = 'timestep_end'
  [../]
  [./L2p]
    variable = p
    function = p_func
    type = ElementL2Error
    outputs = 'console'    execute_on = 'timestep_end'
  [../]
  [./L2vxx]
    variable = vxx
    function = vxx_func
    type = ElementL2Error
    outputs = 'console'    execute_on = 'timestep_end'
  [../]
[]

[AuxVariables]
  [./vxx]
    family = MONOMIAL
    order = FIRST
  [../]
[]

[AuxKernels]
  [./vxx]
    type = VariableGradientComponent
    component = x
    variable = vxx
    gradient_variable = vel_x
  [../]
[]

(modules/solid_mechanics/test/tests/rate_independent_cyclic_hardening/nonlin_kinharden_symmetric_strain_controlled.i)

# This simulation uses the piece-wise strain hardening model
# with the Finite strain formulation.
#
# This test applies a repeated displacement loading and unloading condition on
# the top in the y direction. The material deforms elastically until the
# loading reaches the initial yield point and then plastic deformation starts.
#
# This test captures isotropic hardening as well as kinematic hardening. Hence
# the yield surface begins to translate as well as grow as stress increases.
# The backstress and yield surface evolves with plastic strain to capture
# this translation and growth.
#
# If the reverse load is strong enough (more than yield point), the material
# will yield in the reverse direction, which takes into account the
# Bauschinger effect(reduction in yield stress in the opposite direction), which
# is dependent the value of kinematic hardening modulus.
#
# This test is based on the similar response obtained for a prescribed symmetrical
# stress path in Besson, Jacques, et al. Non-linear mechanics of materials. Vol. 167.
# Springer Science & Business Media, 2009  pg. 87 fig. 3.4(c). This SolidMechanics code
# matches the SolidMechanics solution.

[Mesh]
  file = 1x1x1cube.e
[]

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]

[Functions]
  [top_pull]
    type = PiecewiseLinear
    xy_data = '0 0
    0.025 0.0025
    0.05 0.005
    0.1 0.01
    0.15 0.005
    0.2 0
    0.25 -0.005
    0.3 -0.01
    0.35 -0.005
    0.45 0
    0.5 0.005
    0.55 0.01
    0.65 0.005
    0.7 0
    0.75 -0.005
    0.8 -0.01
    0.85 -0.005
    0.9 0
    0.95 0.005
    1 0.01
    1.05 0.005
    1.1 0
    1.15 -0.005
    1.2 -0.01
    1.25 -0.005
    1.3 0
    1.35 0.005
    1.4 0.01
    1.45 0.005
    1.5 0
    1.55 -0.005
    1.60 -0.01
    1.65 -0.005
    1.7 0
    1.75 0.005
    1.8 0.01
    1.85 0.005
    1.9 0
    1.95 -0.005
    2 -0.01
    2.05 -0.005
    2.10 0
    2.15 0.005
    2.2 0.01
    2.25 0.005
    2.3 0
    2.35 -0.005
    2.4 -0.01
    2.45 -0.005
    2.5 0'
  []
[]

[Physics]
  [SolidMechanics]
    [QuasiStatic]
      [all]
        strain = SMALL
        incremental = true
        add_variables = true
        generate_output = 'strain_yy stress_yy plastic_strain_xx plastic_strain_yy plastic_strain_zz'
      []
    []
  []
[]

[BCs]
  [y_pull_function]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 5
    function = top_pull
  []
  [x_bot]
    type = DirichletBC
    variable = disp_x
    boundary = 4
    value = 0.0
  []
  [y_bot]
    type = DirichletBC
    variable = disp_y
    boundary = 3
    value = 0.0
  []
  [z_bot]
    type = DirichletBC
    variable = disp_z
    boundary = 2
    value = 0.0
  []
[]

[Materials]
  [elasticity_tensor]
    type = ComputeIsotropicElasticityTensor
    youngs_modulus = 2e5
    poissons_ratio = 0
  []
  [kinematic_plasticity]
    type = CombinedNonlinearHardeningPlasticity
    yield_stress = 100
    isotropic_hardening_constant = 0
    q = 0
    b = 0
    kinematic_hardening_modulus = 60000
    gamma = 400
  []
  [radial_return_stress]
    type = ComputeMultipleInelasticStress
    tangent_operator = elastic
    inelastic_models = 'kinematic_plasticity'
  []
[]

[Executioner]
  type = Transient

  solve_type = 'PJFNK'

  petsc_options = '-snes_ksp_ew'
  petsc_options_iname = '-ksp_gmres_restart'
  petsc_options_value = '101'

  line_search = 'none'

  l_max_its = 50
  nl_max_its = 50
  nl_rel_tol = 1e-12
  nl_abs_tol = 1e-10
  l_tol = 1e-9

  start_time = 0.0
  end_time = 0.55      # change end_time = 2.5 for more cycles of kinematic hardening
  dt = 0.00125         # keep dt = 0.000125 for a finer non linear kinematic plot
  dtmin = 0.0001
[]

[Postprocessors]
  [stress_yy]
    type = ElementAverageValue
    variable = stress_yy
  []
  [strain_yy]
    type = ElementAverageValue
    variable = strain_yy
  []
[]

[Outputs]
  csv = true
[]

(modules/solid_mechanics/test/tests/capped_mohr_coulomb/small_deform25.i)

# Mohr-Coulomb only
# apply equal stretches in x, y and z directions, to observe return to the MC tip
# Because of smoothing, the expected result is around
# Smax = Smid = Smin = 12.9
# The result is not exact because the smoothing is assymetrical.
# This test also employs a very small dilation angle, which makes return
# to the tip quite numerically difficult, so max_NR_iterations has been increased to 100

[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]

[Physics/SolidMechanics/QuasiStatic]
  [./all]
    add_variables = true
    incremental = true
    generate_output = 'max_principal_stress mid_principal_stress min_principal_stress stress_xx stress_xy stress_xz stress_yy stress_yz stress_zz'
  [../]
[]


[BCs]
  [./x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'front back'
    function = '1E-6*x'
  [../]
  [./y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'front back'
    function = '1E-6*y'
  [../]
  [./z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'front back'
    function = '1E-6*z'
  [../]
[]

[AuxVariables]
  [./yield_fcn]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./iter]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./intnl]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]

[AuxKernels]
  [./yield_fcn_auxk]
    type = MaterialStdVectorAux
    index = 6
    property = plastic_yield_function
    variable = yield_fcn
  [../]
  [./iter_auxk]
    type = MaterialRealAux
    property = plastic_NR_iterations
    variable = iter
  [../]
  [./intnl_auxk]
    type = MaterialStdVectorAux
    property = plastic_internal_parameter
    index = 0
    variable = intnl
  [../]
[]

[Postprocessors]
  [./s_max]
    type = PointValue
    point = '0 0 0'
    variable = max_principal_stress
  [../]
  [./s_mid]
    type = PointValue
    point = '0 0 0'
    variable = mid_principal_stress
  [../]
  [./s_min]
    type = PointValue
    point = '0 0 0'
    variable = min_principal_stress
  [../]
  [./f]
    type = PointValue
    point = '0 0 0'
    variable = yield_fcn
  [../]
  [./iter]
    type = PointValue
    point = '0 0 0'
    variable = iter
  [../]
  [./intnl]
    type = PointValue
    point = '0 0 0'
    variable = intnl
  [../]
[]

[UserObjects]
  [./ts]
    type = SolidMechanicsHardeningConstant
    value = 1E6
  [../]
  [./mc_coh]
    type = SolidMechanicsHardeningConstant
    value = 10
  [../]
  [./mc_phi]
    type = SolidMechanicsHardeningConstant
    value = 30
    convert_to_radians = true
  [../]
  [./mc_psi]
    type = SolidMechanicsHardeningConstant
    value = 1E-4
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeIsotropicElasticityTensor
    youngs_modulus = 1E7
    poissons_ratio = 0.3
  [../]
  [./mc]
    type = CappedMohrCoulombStressUpdate
    tensile_strength = ts
    compressive_strength = ts
    cohesion = mc_coh
    friction_angle = mc_phi
    dilation_angle = mc_psi
    smoothing_tol = 5
    yield_function_tol = 1.0E-9
    max_NR_iterations = 100
  [../]
  [./stress]
    type = ComputeMultipleInelasticStress
    inelastic_models = mc
    perform_finite_strain_rotations = false
  [../]
[]


[Executioner]
  end_time = 1
  dt = 1
  type = Transient
[]


[Outputs]
  file_base = small_deform25
  csv = true
[]

(modules/solid_mechanics/test/tests/crystal_plasticity/stress_update_material_based/patch_recovery.i)

[GlobalParams]
  displacements = 'ux uy'
[]

[Mesh]
  type = GeneratedMesh
  dim = 2
  nx = 2
  ny = 2
[]

[AuxVariables]
  [stress_xx_recovered]
    order = FIRST
    family = LAGRANGE
  []
  [stress_yy_recovered]
    order = FIRST
    family = LAGRANGE
  []
[]

[Functions]
  [tdisp]
    type = ParsedFunction
    expression = 0.01*t
  []
[]

[Physics/SolidMechanics/QuasiStatic/all]
  strain = FINITE
  add_variables = true
[]

[AuxKernels]
  [stress_xx_recovered]
    type = NodalPatchRecoveryAux
    variable = stress_xx_recovered
    nodal_patch_recovery_uo = stress_xx_patch
    execute_on = 'TIMESTEP_END'
  []
  [stress_yy_recovered]
    type = NodalPatchRecoveryAux
    variable = stress_yy_recovered
    nodal_patch_recovery_uo = stress_yy_patch
    execute_on = 'TIMESTEP_END'
  []
[]

[BCs]
  [symmy]
    type = DirichletBC
    variable = uy
    boundary = bottom
    value = 0
  []
  [symmx]
    type = DirichletBC
    variable = ux
    boundary = left
    value = 0
  []
  [tdisp]
    type = FunctionDirichletBC
    variable = uy
    boundary = top
    function = tdisp
  []
[]

[Materials]
  [elasticity_tensor]
    type = ComputeElasticityTensorCP
    C_ijkl = '1.684e5 1.214e5 1.214e5 1.684e5 1.214e5 1.684e5 0.754e5 0.754e5 0.754e5'
    fill_method = symmetric9
  []
  [stress]
    type = ComputeMultipleCrystalPlasticityStress
    crystal_plasticity_models = 'trial_xtalpl'
    tan_mod_type = exact
  []
  [trial_xtalpl]
    type = CrystalPlasticityKalidindiUpdate
    number_slip_systems = 12
    slip_sys_file_name = input_slip_sys.txt
  []
[]

[UserObjects]
  [stress_xx_patch]
    type = NodalPatchRecoveryMaterialProperty
    patch_polynomial_order = FIRST
    property = 'stress'
    component = '0 0'
    execute_on = 'TIMESTEP_END'
  []
  [stress_yy_patch]
    type = NodalPatchRecoveryMaterialProperty
    patch_polynomial_order = FIRST
    property = 'stress'
    component = '1 1'
    execute_on = 'TIMESTEP_END'
  []
[]

[Preconditioning]
  [smp]
    type = SMP
    full = true
  []
[]

[Executioner]
  type = Transient
  dt = 0.05
  solve_type = 'PJFNK'

  petsc_options_iname = -pc_hypre_type
  petsc_options_value = boomerang
  nl_abs_tol = 1e-10
  nl_rel_step_tol = 1e-10
  dtmax = 10.0
  nl_rel_tol = 1e-10
  end_time = 1
  dtmin = 0.05
  num_steps = 10
  nl_abs_step_tol = 1e-10
[]

[Outputs]
  exodus = true
[]

(test/tests/mortar/continuity-2d-conforming/conforming-2nd-order.i)

[Mesh]
  [file]
    type = FileMeshGenerator
    file = 2blk-conf-2nd.e
  []
  [secondary]
    input = file
    type = LowerDBlockFromSidesetGenerator
    sidesets = '101'
    new_block_id = '10001'
    new_block_name = 'secondary_lower'
  []
  [primary]
    input = secondary
    type = LowerDBlockFromSidesetGenerator
    sidesets = '100'
    new_block_id = '10000'
    new_block_name = 'primary_lower'
  []
[]

[Problem]
  kernel_coverage_check = false
[]

[Functions]
  [./exact_sln]
    type = ParsedFunction
    expression= x*x+y*y
  [../]
  [./ffn]
    type = ParsedFunction
    expression= -4
  [../]
[]

[Variables]
  [./u]
    order = SECOND
    family = LAGRANGE
    block = '1 2'
  [../]

  [./lm]
    order = SECOND
    family = LAGRANGE
    block = secondary_lower
  [../]
[]

[Kernels]
  [./diff]
    type = Diffusion
    variable = u
  [../]
  [./ffn]
    type = BodyForce
    variable = u
    function = ffn
  [../]
[]

[Constraints]
  [./ced]
    type = EqualValueConstraint
    variable = lm
    secondary_variable = u
    primary_boundary = 100
    primary_subdomain = 10000
    secondary_boundary = 101
    secondary_subdomain = 10001
  [../]
[]

[BCs]
  [./all]
    type = FunctionDirichletBC
    variable = u
    boundary = '1 2 3 4'
    function = exact_sln
  [../]
[]

[Postprocessors]
  [./l2_error]
    type = ElementL2Error
    variable = u
    function = exact_sln
    block = '1 2'
    execute_on = 'initial timestep_end'
  [../]
[]

[Preconditioning]
  [./fmp]
    type = SMP
    full = true
    solve_type = 'NEWTON'
  [../]
[]

[Executioner]
  type = Steady
  nl_rel_tol = 1e-14
  l_tol = 1e-14
[]

[Outputs]
  exodus = true
[]

(modules/contact/test/tests/mortar_dynamics/block-dynamics.i)

starting_point = 2e-1
offset = -0.19

[GlobalParams]
  displacements = 'disp_x disp_y'
[]

[Mesh]
  file = long-bottom-block-1elem-blocks.e
[]

[Variables]
  [disp_x]
    block = '1 2'
  []
  [disp_y]
    block = '1 2'
  []
  [normal_lm]
    block = 3
    use_dual = true
  []
[]

[ICs]
  [disp_y]
    block = 2
    variable = disp_y
    value = '${fparse starting_point + offset}'
    type = ConstantIC
  []
[]

[Kernels]
  [DynamicTensorMechanics]
    displacements = 'disp_x disp_y'
    generate_output = 'stress_xx stress_yy'
    strain = FINITE
    block = '1 2'
    stiffness_damping_coefficient = 1.0
    hht_alpha = 0.0
  []
  [inertia_x]
    type = InertialForce
    variable = disp_x
    velocity = vel_x
    acceleration = accel_x
    beta = 0.25
    gamma = 0.5
    alpha = 0
    eta = 0.0
    block = '1 2'
  []
  [inertia_y]
    type = InertialForce
    variable = disp_y
    velocity = vel_y
    acceleration = accel_y
    beta = 0.25
    gamma = 0.5
    alpha = 0
    eta = 0.0
    block = '1 2'
  []
[]

[Materials]
  [elasticity_2]
    type = ComputeIsotropicElasticityTensor
    block = '2'
    youngs_modulus = 1e6
    poissons_ratio = 0.3
  []
  [elasticity_1]
    type = ComputeIsotropicElasticityTensor
    block = '1'
    youngs_modulus = 1e8
    poissons_ratio = 0.3
  []
  [stress]
    type = ComputeFiniteStrainElasticStress
    block = '1 2'
  []
  [strain]
    type = ComputeFiniteStrain
    block = '1 2'
  []
  [density]
    type = GenericConstantMaterial
    block = '1 2'
    prop_names = 'density'
    prop_values = '7750'
  []
[]

[AuxVariables]
  [vel_x]
    block = '1 2'
  []
  [accel_x]
    block = '1 2'
  []
  [vel_y]
    block = '1 2'
  []
  [accel_y]
    block = '1 2'
  []
  [vel_z]
    block = '1 2'
  []
  [accel_z]
    block = '1 2'
  []
[]

[AuxKernels]
  [accel_x]
    type = NewmarkAccelAux
    variable = accel_x
    displacement = disp_x
    velocity = vel_x
    beta = 0.25
    execute_on = 'LINEAR timestep_end'
  []
  [vel_x]
    type = NewmarkVelAux
    variable = vel_x
    acceleration = accel_x
    gamma = 0.5
    execute_on = 'LINEAR timestep_end'
  []
  [accel_y]
    type = NewmarkAccelAux
    variable = accel_y
    displacement = disp_y
    velocity = vel_y
    beta = 0.25
    execute_on = 'LINEAR timestep_end'
  []
  [vel_y]
    type = NewmarkVelAux
    variable = vel_y
    acceleration = accel_y
    gamma = 0.5
    execute_on = 'LINEAR timestep_end'
  []
[]

# User object provides the contact force (e.g. LM)
# for the application of the generalized force
[UserObjects]
  [weighted_gap_uo]
    type = LMWeightedGapUserObject
    primary_boundary = 20
    secondary_boundary = 10
    primary_subdomain = 4
    secondary_subdomain = 3
    lm_variable = normal_lm
    disp_x = disp_x
    disp_y = disp_y
  []
[]

[Constraints]
  [weighted_gap_lm]
    type = ComputeDynamicWeightedGapLMMechanicalContact
    primary_boundary = 20
    secondary_boundary = 10
    primary_subdomain = 4
    secondary_subdomain = 3
    variable = normal_lm
    disp_x = disp_x
    disp_y = disp_y
    use_displaced_mesh = true
    c = 1e4
    capture_tolerance = 1.0e-5
    newmark_beta = 0.25
    newmark_gamma = 0.5
  []
  [normal_x]
    type = NormalMortarMechanicalContact
    primary_boundary = 20
    secondary_boundary = 10
    primary_subdomain = 4
    secondary_subdomain = 3
    variable = normal_lm
    secondary_variable = disp_x
    component = x
    use_displaced_mesh = true
    compute_lm_residuals = false
    weighted_gap_uo = weighted_gap_uo
  []
  [normal_y]
    type = NormalMortarMechanicalContact
    primary_boundary = 20
    secondary_boundary = 10
    primary_subdomain = 4
    secondary_subdomain = 3
    variable = normal_lm
    secondary_variable = disp_y
    component = y
    use_displaced_mesh = true
    compute_lm_residuals = false
    weighted_gap_uo = weighted_gap_uo
  []
[]

[BCs]
  [botx]
    type = DirichletBC
    variable = disp_x
    boundary = 40
    value = 0.0
  []
  [boty]
    type = DirichletBC
    variable = disp_y
    boundary = 40
    value = 0.0
  []
  [topy]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 30
    function = '${starting_point} * cos(2 * pi / 4 * t) + ${offset}'
  []
  [leftx]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 50
    function = '1e-2 * t'
  []
[]

[Executioner]
  type = Transient
  end_time = 75
  dt = 0.05
  dtmin = .05
  solve_type = 'PJFNK'
  petsc_options = '-snes_converged_reason -ksp_converged_reason -pc_svd_monitor '
                  '-snes_linesearch_monitor -snes_ksp_ew'
  petsc_options_iname = '-pc_type -pc_factor_shift_type -pc_factor_shift_amount -mat_mffd_err '
  petsc_options_value = 'lu       NONZERO               1e-15                   1e-5'
  nl_max_its = 20
  line_search = 'none'
  snesmf_reuse_base = false

  [TimeIntegrator]
    type = NewmarkBeta
    beta = 0.25
    gamma = 0.5
  []
[]

[Debug]
  show_var_residual_norms = true
[]

[Outputs]
  exodus = true
  checkpoint = true
[]

[Preconditioning]
  [smp]
    type = SMP
    full = true
  []
[]

[Postprocessors]
  active = 'num_nl cumulative contact'
  [num_nl]
    type = NumNonlinearIterations
  []
  [cumulative]
    type = CumulativeValuePostprocessor
    postprocessor = num_nl
  []
  [contact]
    type = ContactDOFSetSize
    variable = normal_lm
    subdomain = '3'
    execute_on = 'nonlinear timestep_end'
  []
[]

(test/tests/postprocessors/element_integral_var_pps/initial_pps.i)

[Mesh]
  type = GeneratedMesh
  dim = 2
  xmin = 0
  xmax = 1
  ymin = 0
  ymax = 1
  nx = 3
  ny = 3
  elem_type = QUAD9
[]

[Variables]
  active = 'u v'

  [./u]
    order = SECOND
    family = LAGRANGE
    [./InitialCondition]
      type = ConstantIC
      value = 2.8
    [../]
  [../]

  [./v]
    order = SECOND
    family = LAGRANGE
    [./InitialCondition]
      type = ConstantIC
      value = 5.4
    [../]
  [../]
[]

[Functions]
  active = 'force_fn exact_fn left_bc'

  [./force_fn]
    type = ParsedFunction
    expression = '1-x*x+2*t'
  [../]

  [./exact_fn]
    type = ParsedFunction
    expression = '(1-x*x)*t'
  [../]

  [./left_bc]
    type = ParsedFunction
    expression = t
  [../]
[]

[Kernels]
  active = '
    time_u diff_u ffn_u
    time_v diff_v'

  [./time_u]
    type = TimeDerivative
    variable = u
  [../]

  [./diff_u]
    type = Diffusion
    variable = u
  [../]

  [./ffn_u]
    type = BodyForce
    variable = u
    function = force_fn
  [../]

  [./time_v]
    type = TimeDerivative
    variable = v
  [../]

  [./diff_v]
    type = Diffusion
    variable = v
  [../]
[]

[BCs]
  active = 'all_u left_v right_v'

  [./all_u]
    type = FunctionDirichletBC
    variable = u
    boundary = '0 1 2 3'
    function = exact_fn
  [../]

  [./left_v]
    type = FunctionDirichletBC
    variable = v
    boundary = '3'
    function = left_bc
  [../]

  [./right_v]
    type = DirichletBC
    variable = v
    boundary = '1'
    value = 0
  [../]
[]

[Postprocessors]
  [./initial_u]
    type = ElementIntegralVariablePostprocessor
    variable = u
    execute_on = initial
  [../]

  [./initial_v]
    type = ElementIntegralVariablePostprocessor
    variable = v
    execute_on = initial
  [../]
[]

[Executioner]
  type = Transient

  solve_type = 'PJFNK'

  dt = 0.1
  start_time = 0
  end_time = 0.3
[]

[Outputs]
  file_base = out_initial_pps
  exodus = true
[]

(modules/contact/test/tests/adaptivity/contact_initial_adaptivity.i)

# This is a test of the usage of initial adaptivity with contact.
# It ensures that contact is enforced on the new nodes that are
# created due to refinement on the secondary side of the interface.

[GlobalParams]
  volumetric_locking_correction = false
  displacements = 'disp_x disp_y'
[]

[Mesh]
  file = 2blocks.e
  patch_size = 80
  parallel_type = replicated
[]

[AuxVariables]
  [./penetration]
    order = FIRST
    family = LAGRANGE
  [../]
[]

[Functions]
  [./negramp]
    type = ParsedFunction
    expression = -t/10
  [../]
[]

[Physics/SolidMechanics/QuasiStatic]
  [./all]
    add_variables = true
    strain = FINITE
  []
[]

[AuxKernels]
  [./penetration]
    type = PenetrationAux
    variable = penetration
    boundary = 3
    paired_boundary = 2
  [../]
[]

[Postprocessors]
  [./nonlinear_its]
    type = NumNonlinearIterations
    execute_on = timestep_end
  [../]
[]

[BCs]
  [./left_x]
    type = DirichletBC
    variable = disp_x
    boundary = 1
    value = 0.0
  [../]
  [./left_y]
    type = DirichletBC
    variable = disp_y
    boundary = 1
    value = 0.0
  [../]
  [./right_x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 4
    function = negramp
  [../]
  [./right_y]
    type = DirichletBC
    variable = disp_y
    boundary = 4
    value = 0.0
  [../]
[]

[Materials]
  [./stiffStuff1]
    type = ComputeIsotropicElasticityTensor
    block = '1 2'
    youngs_modulus = 1e6
    poissons_ratio = 0.3
  [../]
  [./stiffStuff1_stress]
    type = ComputeFiniteStrainElasticStress
    block = '1 2'
  [../]
[]

[Contact]
  [./leftright]
    secondary = 3
    primary = 2
    model = frictionless
    penalty = 1e+6
    normal_smoothing_distance = 0.1
  [../]
[]

[Adaptivity]
  cycles_per_step = 0
  marker = box
  max_h_level = 2
  initial_steps = 2
  [./Markers]
    [./box]
      type = BoxMarker
      bottom_left = '0.5 -2.0 0.0'
      top_right = '0.75 2.0 0.0'
      inside = refine
      outside = do_nothing
    [../]
  [../]
[]

[Executioner]
  type = Transient
  solve_type = 'PJFNK'

  petsc_options_iname = '-pc_type -pc_factor_mat_solver_type'
  petsc_options_value = 'lu       superlu_dist'

  line_search = 'none'

  l_max_its = 100
  nl_max_its = 1000
  dt = 0.2
  end_time = 1.0
  l_tol = 1e-6
  nl_rel_tol = 1e-12
  nl_abs_tol = 1e-9
[]

[Outputs]
  exodus = true
  console = true
[]

(modules/solid_mechanics/test/tests/elastic_patch/elastic_patch.i)

# Patch Test

# This test is designed to compute constant xx, yy, zz, xy, yz, and zx
#  stress on a set of irregular hexes.  The mesh is composed of one
#  block with seven elements.  The elements form a unit cube with one
#  internal element.  There is a nodeset for each exterior node.

# The cube is displaced by 1e-6 units in x, 2e-6 in y, and 3e-6 in z.
#  The faces are sheared as well (1e-6, 2e-6, and 3e-6 for xy, yz, and
#  zx).  This gives a uniform strain/stress state for all six unique
#  tensor components.

# With Young's modulus at 1e6 and Poisson's ratio at 0, the shear
#  modulus is 5e5 (G=E/2/(1+nu)).  Therefore,
#
#  stress xx = 1e6 * 1e-6 = 1
#  stress yy = 1e6 * 2e-6 = 2
#  stress zz = 1e6 * 3e-6 = 3
#  stress xy = 2 * 5e5 * 1e-6 / 2 = 0.5
#             (2 * G   * gamma_xy / 2 = 2 * G * epsilon_xy)
#  stress yz = 2 * 5e5 * 2e-6 / 2 = 1
#  stress zx = 2 * 5e5 * 3e-6 / 2 = 1.5

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
  block = '1 2 3 4 5 6 7'
[]

[Mesh]#Comment
  file = elastic_patch.e
[] # Mesh

[Functions]
  [./rampConstant1]
    type = PiecewiseLinear
    x = '0. 1. 2.'
    y = '0. 1. 1.'
    scale_factor = 1e-6
  [../]
  [./rampConstant2]
    type = PiecewiseLinear
    x = '0. 1. 2.'
    y = '0. 1. 1.'
    scale_factor = 2e-6
  [../]
  [./rampConstant3]
    type = PiecewiseLinear
    x = '0. 1. 2.'
    y = '0. 1. 1.'
    scale_factor = 3e-6
  [../]
  [./rampConstant4]
    type = PiecewiseLinear
    x = '0. 1. 2.'
    y = '0. 1. 1.'
    scale_factor = 4e-6
  [../]
  [./rampConstant6]
    type = PiecewiseLinear
    x = '0. 1. 2.'
    y = '0. 1. 1.'
    scale_factor = 6e-6
  [../]
[] # Functions

[Variables]

  [./disp_x]
    order = FIRST
    family = LAGRANGE
  [../]

  [./disp_y]
    order = FIRST
    family = LAGRANGE
  [../]

  [./disp_z]
    order = FIRST
    family = LAGRANGE
  [../]

[] # Variables

[AuxVariables]

  [./stress_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_zx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./elastic_energy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./vonmises]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./hydrostatic]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./firstinv]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./secondinv]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./thirdinv]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./maxprincipal]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./midprincipal]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./minprincipal]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./direction]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./max_shear]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./sint]
    order = CONSTANT
    family = MONOMIAL
  [../]

[] # AuxVariables

[Kernels]
  [SolidMechanics]
    use_displaced_mesh = true
  [../]
[]

[AuxKernels]

  [./stress_xx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xx
    index_i = 0
    index_j = 0
  [../]
  [./stress_yy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yy
    index_i = 1
    index_j = 1
  [../]
  [./stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zz
    index_i = 2
    index_j = 2
  [../]
  [./stress_xy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xy
    index_i = 0
    index_j = 1
  [../]
  [./stress_yz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yz
    index_i = 1
    index_j = 2
  [../]
  [./stress_zx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zx
    index_i = 2
    index_j = 0
  [../]
  [./elastic_energy]
    type = ElasticEnergyAux
    variable = elastic_energy
  [../]
  [./vonmises]
    type = RankTwoScalarAux
    rank_two_tensor = stress
    variable = vonmises
    scalar_type = vonmisesStress
  [../]
  [./hydrostatic]
    type = RankTwoScalarAux
    rank_two_tensor = stress
    variable = hydrostatic
    scalar_type = hydrostatic
  [../]
  [./fi]
    type = RankTwoScalarAux
    rank_two_tensor = stress
    variable = firstinv
    scalar_type = firstinvariant
  [../]
  [./si]
    type = RankTwoScalarAux
    rank_two_tensor = stress
    variable = secondinv
    scalar_type = secondinvariant
  [../]
  [./ti]
    type = RankTwoScalarAux
    rank_two_tensor = stress
    variable = thirdinv
    scalar_type = thirdinvariant
  [../]
  [./maxprincipal]
    type = RankTwoScalarAux
    rank_two_tensor = stress
    variable = maxprincipal
    scalar_type = MaxPRiNCIpAl
  [../]
  [./midprincipal]
    type = RankTwoScalarAux
    rank_two_tensor = stress
    variable = midprincipal
    scalar_type = MidPRiNCIpAl
  [../]
  [./minprincipal]
    type = RankTwoScalarAux
    rank_two_tensor = stress
    variable = minprincipal
    scalar_type = MiNPRiNCIpAl
  [../]
  [./direction]
    type = RankTwoScalarAux
    rank_two_tensor = stress
    variable = direction
    scalar_type = direction
    direction = '1 1 1'
  [../]
  [./max_shear]
    type = RankTwoScalarAux
    rank_two_tensor = stress
    variable = max_shear
    scalar_type = MaxShear
  [../]
  [./sint]
    type = RankTwoScalarAux
    rank_two_tensor = stress
    variable = sint
    scalar_type = StressIntensity
  [../]


[] # AuxKernels

[BCs]

  [./node1_x]
    type = DirichletBC
    variable = disp_x
    boundary = 1
    value = 0.0
  [../]
  [./node1_y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 1
    function = rampConstant2
  [../]
  [./node1_z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 1
    function = rampConstant3
  [../]

  [./node2_x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 2
    function = rampConstant1
  [../]
  [./node2_y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 2
    function = rampConstant2
  [../]
  [./node2_z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 2
    function = rampConstant6
  [../]

  [./node3_x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 3
    function = rampConstant1
  [../]
  [./node3_y]
    type = DirichletBC
    variable = disp_y
    boundary = 3
    value = 0.0
  [../]
  [./node3_z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 3
    function = rampConstant3
  [../]

  [./node4_x]
    type = DirichletBC
    variable = disp_x
    boundary = 4
    value = 0.0
  [../]
  [./node4_y]
    type = DirichletBC
    variable = disp_y
    boundary = 4
    value = 0.0
  [../]
  [./node4_z]
    type = DirichletBC
    variable = disp_z
    boundary = 4
    value = 0.0
  [../]

  [./node5_x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 5
    function = rampConstant1
  [../]
  [./node5_y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 5
    function = rampConstant4
  [../]
  [./node5_z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 5
    function = rampConstant3
  [../]

  [./node6_x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 6
    function = rampConstant2
  [../]
  [./node6_y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 6
    function = rampConstant4
  [../]
  [./node6_z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 6
    function = rampConstant6
  [../]

  [./node7_x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 7
    function = rampConstant2
  [../]
  [./node7_y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 7
    function = rampConstant2
  [../]
  [./node7_z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 7
    function = rampConstant3
  [../]

  [./node8_x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 8
    function = rampConstant1
  [../]
  [./node8_y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 8
    function = rampConstant2
  [../]
  [./node8_z]
    type = DirichletBC
    variable = disp_z
    boundary = 8
    value = 0.0
  [../]


[] # BCs

[Materials]

  [./elasticity_tensor]
    type = ComputeIsotropicElasticityTensor
    youngs_modulus = 1e6
    poissons_ratio = 0.0
  [../]

  [./strain]
    type = ComputeFiniteStrain
  [../]

  [./stress]
    type = ComputeFiniteStrainElasticStress
  [../]

[] # Materials

[Executioner]

  type = Transient

  #Preconditioned JFNK (default)
  solve_type = 'PJFNK'

  nl_abs_tol = 1e-10

  l_max_its = 20

  start_time = 0.0
  dt = 1.0
  num_steps = 2
  end_time = 2.0
[] # Executioner

[Outputs]
  exodus = true
[] # Outputs

(modules/combined/test/tests/phase_field_fracture/crack2d_vi_solver.i)

#This input uses PhaseField-Nonconserved Action to add phase field fracture bulk rate kernels
[Mesh]
  [gen]
    type = GeneratedMeshGenerator
    dim = 2
    nx = 20
    ny = 20
    xmax = 1
    ymax = 1
  []
[]

[GlobalParams]
  displacements = 'disp_x disp_y'
[]

[Modules]
  [./PhaseField]
    [./Nonconserved]
      [./c]
        free_energy = F
        kappa = kappa_op
        mobility = L
      [../]
    [../]
  [../]
[]
[Physics]
  [./SolidMechanics]
    [./QuasiStatic]
      [./mech]
        add_variables = true
        strain = SMALL
        additional_generate_output = 'stress_yy'
        save_in = 'resid_x resid_y'
      [../]
    [../]
  [../]
[]

[ICs]
  [./c_ic]
    type = FunctionIC
    function = ic
    variable = c
  [../]
[]

[Functions]
  [./ic]
    type = ParsedFunction
    expression = 'if(x<0.5 & y < 0.55 & y > 0.45,1, 0)'
  [../]
[]

[AuxVariables]
  [./resid_x]
  [../]
  [./resid_y]
  [../]
  [./bounds_dummy]
    order = FIRST
    family = LAGRANGE
  [../]
[]

[Kernels]
  [./solid_x]
    type = PhaseFieldFractureMechanicsOffDiag
    variable = disp_x
    component = 0
    c = c
  [../]
  [./solid_y]
    type = PhaseFieldFractureMechanicsOffDiag
    variable = disp_y
    component = 1
    c = c
  [../]
[]

[BCs]
  [./ydisp]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = top
    function = 't'
  [../]
  [./yfix]
    type = DirichletBC
    variable = disp_y
    boundary = bottom
    value = 0
  [../]
  [./xfix]
    type = DirichletBC
    variable = disp_x
    boundary = 'top bottom'
    value = 0
  [../]
[]

[Materials]
  [./pfbulkmat]
    type = GenericConstantMaterial
    prop_names = 'gc_prop l visco'
    prop_values = '1e-3 0.04 1e-4'
  [../]
  [./define_mobility]
    type = ParsedMaterial
    material_property_names = 'gc_prop visco'
    property_name = L
    expression = '1.0/(gc_prop * visco)'
  [../]
  [./define_kappa]
    type = ParsedMaterial
    material_property_names = 'gc_prop l'
    property_name = kappa_op
    expression = 'gc_prop * l'
  [../]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    C_ijkl = '120.0 80.0'
    fill_method = symmetric_isotropic
  [../]
  [./damage_stress]
    type = ComputeLinearElasticPFFractureStress
    c = c
    E_name = 'elastic_energy'
    D_name = 'degradation'
    F_name = 'local_fracture_energy'
    decomposition_type = strain_spectral
    use_snes_vi_solver = true
  [../]
  [./degradation]
    type = DerivativeParsedMaterial
    property_name = degradation
    coupled_variables = 'c'
    expression = '(1.0-c)^2*(1.0 - eta) + eta'
    constant_names       = 'eta'
    constant_expressions = '0.0'
    derivative_order = 2
  [../]
  [./local_fracture_energy]
    type = DerivativeParsedMaterial
    property_name = local_fracture_energy
    coupled_variables = 'c'
    material_property_names = 'gc_prop l'
    expression = 'c^2 * gc_prop / 2 / l'
    derivative_order = 2
  [../]
  [./fracture_driving_energy]
    type = DerivativeSumMaterial
    coupled_variables = c
    sum_materials = 'elastic_energy local_fracture_energy'
    derivative_order = 2
    property_name = F
  [../]
[]

[Postprocessors]
  [./resid_x]
    type = NodalSum
    variable = resid_x
    boundary = 2
  [../]
  [./resid_y]
    type = NodalSum
    variable = resid_y
    boundary = 2
  [../]
[]

[Preconditioning]
  [./smp]
    type = SMP
    full = true
  [../]
[]

[Bounds]
  [./c_upper_bound]
    type = ConstantBounds
    variable = bounds_dummy
    bounded_variable = c
    bound_type = upper
    bound_value = 1.0
  [../]
  [./c_lower_bound]
    type = VariableOldValueBounds
    variable = bounds_dummy
    bounded_variable = c
    bound_type = lower
  [../]
[]

[Executioner]
  type = Transient

  solve_type = PJFNK
  petsc_options_iname = '-pc_type  -snes_type'
  petsc_options_value = 'lu vinewtonrsls'

  nl_rel_tol = 1e-8
  l_max_its = 10
  nl_max_its = 10

  dt = 1e-4
  dtmin = 1e-4
  num_steps = 2
[]

[Outputs]
  exodus = true
[]

(modules/xfem/test/tests/nucleation_uo/nucleate_AllEdgeCracks.i)

[GlobalParams]
  displacements = 'disp_x disp_y'
[]

[XFEM]
  geometric_cut_userobjects = 'cut_mesh2'
  qrule = volfrac
  output_cut_plane = true
[]

[Mesh]
[gen]
  type = GeneratedMeshGenerator
  dim = 2
  nx = 10
  ny = 20
  xmin = 0
  xmax = 1.0
  ymin = 0.0
  ymax = 2.0
  elem_type = QUAD4
[]
[top_left]
  type = BoundingBoxNodeSetGenerator
  new_boundary = pull_top_left
  bottom_left = '-0.01 1.99 0'
  top_right = '0.11 2.01 0'
  input = gen
[]
[]

[DomainIntegral]
  integrals = 'InteractionIntegralKI InteractionIntegralKII'
  displacements = 'disp_x disp_y'
  crack_front_points_provider = cut_mesh2
  2d=true
  number_points_from_provider = 0
  crack_direction_method = CurvedCrackFront
  radius_inner = '0.15'
  radius_outer = '0.45'
  poissons_ratio = 0.3
  youngs_modulus = 207000
  block = 0
  incremental = true
[]

[UserObjects]
  [nucleate]
    type = MeshCut2DRankTwoTensorNucleation
    tensor = stress
    scalar_type = MaxPrincipal
    nucleation_threshold = 180
    initiate_on_boundary = 'left'
    nucleation_radius = .21
    edge_extension_factor = 2e-5
    nucleation_length = 0.11
  []
  [cut_mesh2]
    type = MeshCut2DFractureUserObject
    mesh_file = make_edge_crack_in.e
    k_critical=500000 #Large so that cracks will not grow
    growth_increment = 0.11
    nucleate_uo = nucleate
  []
[]

[Physics/SolidMechanics/QuasiStatic]
  [all]
    strain = FINITE
    planar_formulation = plane_strain
    add_variables = true
    generate_output = 'stress_xx stress_yy vonmises_stress max_principal_stress'
  []
[]

[Functions]
  [bc_pull_top]
    type = ParsedFunction
    expression = 0.0005*t
  []
[]

[BCs]
  [top_edges]
      type = FunctionDirichletBC
      boundary = 'pull_top_left'
      variable = disp_y
      function = bc_pull_top
  []
  [bottom_x]
    type = DirichletBC
    boundary = bottom
    variable = disp_x
    value = 0.0
  []
  [bottom_y]
    type = DirichletBC
    boundary = bottom
    variable = disp_y
    value = 0.0
  []
[]

[Materials]
  [elasticity_tensor]
    type = ComputeIsotropicElasticityTensor
    youngs_modulus = 207000
    poissons_ratio = 0.3
  []
  [stress]
    type = ComputeFiniteStrainElasticStress
  []
[]

[Executioner]
  type = Transient

  solve_type = 'PJFNK'
  petsc_options_iname = '-ksp_gmres_restart -pc_type -pc_hypre_type -pc_hypre_boomeramg_max_iter'
  petsc_options_value = '201                hypre    boomeramg      8'

  line_search = 'none'

  [./Predictor]
    type = SimplePredictor
    scale = 1.0
  [../]

  l_max_its = 100
  l_tol = 1e-2

  nl_max_its = 15
  nl_rel_tol = 1e-8
  nl_abs_tol = 1e-9

  start_time = 0.0
  dt = 1.0
  end_time = 5
  max_xfem_update = 100
[]

[Outputs]
  csv=true
  execute_on = TIMESTEP_END
[]

(modules/solid_mechanics/test/tests/mean_cap_TC/small_deform4.i)

# apply nonuniform compression in x, y and z directions such that
# trial_stress(0, 0) = 2
# trial_stress(1, 1) = -8
# trial_stress(2, 2) = -10
# With compressive_strength = -1, the algorithm should return to trace(stress) = -1, or
# stress(0, 0) = 7
# stress(1, 1) = -3
# stress(2, 2) = -5

[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]


[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
[]

[Kernels]
  [SolidMechanics]
    displacements = 'disp_x disp_y disp_z'
  [../]
[]


[BCs]
  [./x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'front back'
    function = '1E-7*x'
  [../]
  [./y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'front back'
    function = '-4E-7*y'
  [../]
  [./z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'front back'
    function = '-5E-7*z'
  [../]
[]

[AuxVariables]
  [./stress_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]

[AuxKernels]
  [./stress_xx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xx
    index_i = 0
    index_j = 0
  [../]
  [./stress_xy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xy
    index_i = 0
    index_j = 1
  [../]
  [./stress_xz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xz
    index_i = 0
    index_j = 2
  [../]
  [./stress_yy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yy
    index_i = 1
    index_j = 1
  [../]
  [./stress_yz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yz
    index_i = 1
    index_j = 2
  [../]
  [./stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zz
    index_i = 2
    index_j = 2
  [../]
  [./f]
    type = MaterialStdVectorAux
    index = 0
    property = plastic_yield_function
    variable = f
  [../]
[]

[Postprocessors]
  [./s_xx]
    type = PointValue
    point = '0 0 0'
    variable = stress_xx
  [../]
  [./s_xy]
    type = PointValue
    point = '0 0 0'
    variable = stress_xy
  [../]
  [./s_xz]
    type = PointValue
    point = '0 0 0'
    variable = stress_xz
  [../]
  [./s_yy]
    type = PointValue
    point = '0 0 0'
    variable = stress_yy
  [../]
  [./s_yz]
    type = PointValue
    point = '0 0 0'
    variable = stress_yz
  [../]
  [./s_zz]
    type = PointValue
    point = '0 0 0'
    variable = stress_zz
  [../]
  [./f]
    type = PointValue
    point = '0 0 0'
    variable = f
  [../]
[]

[UserObjects]
  [./tensile_strength]
    type = SolidMechanicsHardeningConstant
    value = 2
  [../]
  [./compressive_strength]
    type = SolidMechanicsHardeningConstant
    value = -1
  [../]
  [./cap]
    type = SolidMechanicsPlasticMeanCapTC
    tensile_strength = tensile_strength
    compressive_strength = compressive_strength
    yield_function_tolerance = 1E-3
    internal_constraint_tolerance = 1E-9
    use_custom_returnMap = true
    use_custom_cto = true
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    block = 0
    fill_method = symmetric_isotropic
    C_ijkl = '0 1E7'
  [../]
  [./strain]
    type = ComputeIncrementalStrain
    block = 0
    displacements = 'disp_x disp_y disp_z'
  [../]
  [./mean_cap]
    type = ComputeMultiPlasticityStress
    block = 0
    ep_plastic_tolerance = 1E-9
    plastic_models = cap
  [../]
[]


[Executioner]
  end_time = 1
  dt = 1
  type = Transient
[]


[Outputs]
  file_base = small_deform4
  exodus = false
  [./csv]
    type = CSV
  [../]
[]

(modules/solid_mechanics/test/tests/mean_cap_TC/random03.i)

# apply many random large deformations, checking that the algorithm returns correctly to
# the yield surface each time.
[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1000
  ny = 125
  nz = 1
  xmin = 0
  xmax = 1000
  ymin = 0
  ymax = 125
  zmin = 0
  zmax = 1
[]


[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
[]

[Kernels]
  [SolidMechanics]
    displacements = 'disp_x disp_y disp_z'
  [../]
[]


[ICs]
  [./x]
    type = RandomIC
    min = -0.1
    max = 0.1
    variable = disp_x
  [../]
  [./y]
    type = RandomIC
    min = -0.1
    max = 0.1
    variable = disp_y
  [../]
  [./z]
    type = RandomIC
    min = -0.1
    max = 0.1
    variable = disp_z
  [../]
[]

[BCs]
  [./x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'front back'
    function = '0'
  [../]
  [./y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'front back'
    function = '0'
  [../]
  [./z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'front back'
    function = '0'
  [../]
[]

[AuxVariables]
  [./yield_fcn]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./iter]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]

[AuxKernels]
  [./yield_fcn_auxk]
    type = MaterialStdVectorAux
    index = 0
    property = plastic_yield_function
    variable = yield_fcn
  [../]
  [./iter]
    type = MaterialRealAux
    property = plastic_NR_iterations
    variable = iter
  [../]
[]

[Postprocessors]
  [./max_yield_fcn]
    type = ElementExtremeValue
    variable = yield_fcn
    outputs = 'console'
  [../]
  [./should_be_zero]
    type = FunctionValuePostprocessor
    function = should_be_zero_fcn
  [../]
  [./av_iter]
    type = ElementAverageValue
    variable = iter
    outputs = 'console'
  [../]
[]

[Functions]
  [./should_be_zero_fcn]
    type = ParsedFunction
    expression = 'if(a<1E-3,0,a)'
    symbol_names = 'a'
    symbol_values = 'max_yield_fcn'
  [../]
[]

[UserObjects]
  [./tensile_strength]
    type = SolidMechanicsHardeningCubic
    value_0 = 1
    value_residual = 0.1
    internal_limit = 0.1
  [../]
  [./compressive_strength]
    type = SolidMechanicsHardeningCubic
    value_0 = -1.5
    value_residual = 0
    internal_limit = 0.1
  [../]
  [./cap]
    type = SolidMechanicsPlasticMeanCapTC
    tensile_strength = tensile_strength
    compressive_strength = compressive_strength
    yield_function_tolerance = 1E-5
    internal_constraint_tolerance = 1E-11
    use_custom_returnMap = false
    use_custom_cto = false
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    block = 0
    fill_method = symmetric_isotropic
    C_ijkl = '0.7E7 1E7'
  [../]
  [./strain]
    type = ComputeIncrementalStrain
    block = 0
    displacements = 'disp_x disp_y disp_z'
  [../]
  [./mc]
    type = ComputeMultiPlasticityStress
    block = 0
    max_NR_iterations = 2
    ep_plastic_tolerance = 1E-8
    plastic_models = cap
  [../]
[]


[Executioner]
  end_time = 1
  dt = 1
  type = Transient
[]


[Outputs]
  file_base = random03
  exodus = false
  [./csv]
    type = CSV
  [../]
[]

(modules/solid_mechanics/test/tests/crystal_plasticity/monolithic_material_based/karthik-eg-1.i)

[Mesh]
  type = GeneratedMesh
  elem_type = HEX8
  dim = 3
  nz = 10
  xmax = 10
  ymax = 10
  zmax = 100
[]

[Variables]
  [./x_disp]
    block = 0
  [../]
  [./y_disp]
    block = 0
  [../]
  [./z_disp]
    block = 0
  [../]
[]

[SolidMechanics]
  [./solid]
#    disp_x = x_disp
#    disp_y = y_disp
#    disp_z = z_disp
    displacements = 'disp_x disp_y disp_z'
  [../]
[]

[Materials]
  active = 'fcrysp'
  [./felastic]
    type = FiniteStrainElasticMaterial
    block = 0
    fill_method = symmetric9
    disp_x = x_disp
    disp_y = y_disp
    disp_z = z_disp
    C_ijkl = '1.684e5 1.214e5 1.214e5 1.684e5 1.214e5 1.684e5 0.754e5 0.754e5 0.754e5'
  [../]
  [./fcrysp]
    type = FiniteStrainCrystalPlasticity
    block = 0
    disp_y = y_disp
    disp_x = x_disp
    disp_z = z_disp
    flowprops = '1 12 0.001 0.1'
    C_ijkl = '1.684e5 1.214e5 1.214e5 1.684e5 1.214e5 1.684e5 0.754e5 0.754e5 0.754e5'
    nss = 12
    hprops = '1.0 541.5 60.8 109.8'
    gprops = '1 12 60.8'
    fill_method = symmetric9
    slip_sys_file_name = input_slip_sys.txt
  [../]
[]

[Functions]
  [./topdisp]
    type = ParsedFunction
    expression = 0.7*t
  [../]
  [./tpress]
    type = ParsedFunction
    expression = -200*t
  [../]
[]

[BCs]
  [./zbc]
    type = DirichletBC
    variable = z_disp
    boundary = back
    value = 0
  [../]
  [./ybc]
    type = DirichletBC
    variable = y_disp
    boundary = bottom
    value = 0
  [../]
  [./xbc]
    type = DirichletBC
    variable = x_disp
    boundary = left
    value = 0
  [../]
  [./zmove]
    type = FunctionDirichletBC
    variable = z_disp
    boundary = front
    function = topdisp
  [../]
[]

[AuxVariables]
  [./stress_zz]
    order = CONSTANT
    family = MONOMIAL
    block = 0
  [../]
  [./e_zz]
    order = CONSTANT
    family = MONOMIAL
    block = 0
  [../]
[]

[AuxKernels]
  [./stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zz
    index_i = 3
    index_j = 3
    execute_on = timestep_end
    block = 0
  [../]
  [./e_zz]
    type = RankTwoAux
    rank_two_tensor = lage
    variable = e_zz
    index_i = 3
    index_j = 3
    execute_on = timestep_end
    block = 0
  [../]
[]

[Postprocessors]
  [./szz]
    type = ElementAverageValue
    variable = stress_zz
    block = 'ANY_BLOCK_ID 0'
  [../]
  [./ezz]
    type = ElementAverageValue
    variable = e_zz
    block = 'ANY_BLOCK_ID 0'
  [../]
[]

[Preconditioning]
  [./smp]
    type = SMP
    full = true
  [../]
[]

[Executioner]
  num_steps = 1000
  end_time = 1
  dt = 0.02
  dtmax = 0.02
  dtmin = 0.02
  type = Transient

  #Preconditioned JFNK (default)
  solve_type = 'PJFNK'

  petsc_options_iname = -pc_hypre_type
  petsc_options_value = boomerang
  nl_abs_tol = 1e-08
  nl_rel_step_tol = 1e-08
  nl_abs_step_tol = 1e-08
  abort_on_solve_fail = true
  n_startup_steps = 0.0
[]

[Outputs]
  file_base = out
  exodus = true
  csv = true
[]

(modules/solid_mechanics/test/tests/lagrangian/axisymmetric_cylindrical/total/patch/large.i)

[GlobalParams]
  displacements = 'disp_r disp_z'
  large_kinematics = true
[]

[Mesh]
  [gmg]
    type = GeneratedMeshGenerator
    dim = 2
    nx = 2
    ny = 2
  []
[]

[Problem]
  coord_type = RZ
[]

[Variables]
  [disp_r]
  []
  [disp_z]
  []
[]

[Kernels]
  [sdr]
    type = TotalLagrangianStressDivergenceAxisymmetricCylindrical
    variable = disp_r
    component = 0
  []
  [sdz]
    type = TotalLagrangianStressDivergenceAxisymmetricCylindrical
    variable = disp_z
    component = 1
  []
[]

[BCs]
  [bottom]
    type = DirichletBC
    preset = false
    variable = disp_z
    boundary = bottom
    value = 0.0
  []
  [top]
    type = FunctionDirichletBC
    preset = false
    variable = disp_z
    boundary = top
    function = 't'
  []
[]

[Materials]
  [elastic_tensor]
    type = ComputeIsotropicElasticityTensor
    youngs_modulus = 1000.0
    poissons_ratio = 0.25
  []
  [compute_stress]
    type = ComputeLagrangianLinearElasticStress
    output_properties = 'pk1_stress'
    outputs = 'exodus'
  []
  [compute_strain]
    type = ComputeLagrangianStrainAxisymmetricCylindrical
    output_properties = 'mechanical_strain'
    outputs = 'exodus'
  []
[]

[Executioner]
  type = Transient

  solve_type = NEWTON

  petsc_options_iname = '-pc_type'
  petsc_options_value = 'lu'
  automatic_scaling = true

  nl_abs_tol = 1e-10
  nl_rel_tol = 1e-10

  dt = 0.1
  num_steps = 10
[]

[Outputs]
  exodus = true
[]

(modules/solid_mechanics/test/tests/lagrangian/materials/correctness/neohookean.i)

# Simple 3D test

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
  large_kinematics = true
[]

[Variables]
  [disp_x]
  []
  [disp_y]
  []
  [disp_z]
  []
[]

[Mesh]
  [msh]
    type = GeneratedMeshGenerator
    dim = 3
    nx = 1
    ny = 1
    nz = 1
  []
[]

[Kernels]
  [sdx]
    type = TotalLagrangianStressDivergence
    variable = disp_x
    component = 0
  []
  [sdy]
    type = TotalLagrangianStressDivergence
    variable = disp_y
    component = 1
  []
  [sdz]
    type = TotalLagrangianStressDivergence
    variable = disp_z
    component = 2
  []
[]

[Functions]
  [strain]
    type = ParsedFunction
    expression = 't'
  []
[]

[BCs]
  [leftx]
    type = DirichletBC
    preset = true
    boundary = left
    variable = disp_x
    value = 0.0
  []
  [boty]
    type = DirichletBC
    preset = true
    boundary = bottom
    variable = disp_y
    value = 0.0
  []
  [backz]
    type = DirichletBC
    preset = true
    boundary = back
    variable = disp_z
    value = 0.0
  []

  [pull_x]
    type = FunctionDirichletBC
    boundary = right
    variable = disp_x
    function = strain
  []
[]

[Materials]
  [compute_stress]
    type = ComputeNeoHookeanStress
    lambda = 4000.0
    mu = 6700.0
  []
  [compute_strain]
    type = ComputeLagrangianStrain
  []
[]

[AuxVariables]
  [s11]
    family = MONOMIAL
    order = CONSTANT
  []
  [s21]
    family = MONOMIAL
    order = CONSTANT
  []
  [s31]
    family = MONOMIAL
    order = CONSTANT
  []
  [s12]
    family = MONOMIAL
    order = CONSTANT
  []
  [s22]
    family = MONOMIAL
    order = CONSTANT
  []
  [s32]
    family = MONOMIAL
    order = CONSTANT
  []
  [s13]
    family = MONOMIAL
    order = CONSTANT
  []
  [s23]
    family = MONOMIAL
    order = CONSTANT
  []
  [s33]
    family = MONOMIAL
    order = CONSTANT
  []

  [F11]
    family = MONOMIAL
    order = CONSTANT
  []
  [F21]
    family = MONOMIAL
    order = CONSTANT
  []
  [F31]
    family = MONOMIAL
    order = CONSTANT
  []
  [F12]
    family = MONOMIAL
    order = CONSTANT
  []
  [F22]
    family = MONOMIAL
    order = CONSTANT
  []
  [F32]
    family = MONOMIAL
    order = CONSTANT
  []
  [F13]
    family = MONOMIAL
    order = CONSTANT
  []
  [F23]
    family = MONOMIAL
    order = CONSTANT
  []
  [F33]
    family = MONOMIAL
    order = CONSTANT
  []
[]

[AuxKernels]
  [s11]
    type = RankTwoAux
    variable = s11
    rank_two_tensor = pk1_stress
    index_i = 0
    index_j = 0
  []
  [s21]
    type = RankTwoAux
    variable = s21
    rank_two_tensor = pk1_stress
    index_i = 1
    index_j = 0
  []
  [s31]
    type = RankTwoAux
    variable = s31
    rank_two_tensor = pk1_stress
    index_i = 2
    index_j = 0
  []
  [s12]
    type = RankTwoAux
    variable = s12
    rank_two_tensor = pk1_stress
    index_i = 0
    index_j = 1
  []
  [s22]
    type = RankTwoAux
    variable = s22
    rank_two_tensor = pk1_stress
    index_i = 1
    index_j = 1
  []
  [s32]
    type = RankTwoAux
    variable = s32
    rank_two_tensor = pk1_stress
    index_i = 2
    index_j = 1
  []
  [s13]
    type = RankTwoAux
    variable = s13
    rank_two_tensor = pk1_stress
    index_i = 0
    index_j = 2
  []
  [s23]
    type = RankTwoAux
    variable = s23
    rank_two_tensor = pk1_stress
    index_i = 1
    index_j = 2
  []
  [s33]
    type = RankTwoAux
    variable = s33
    rank_two_tensor = pk1_stress
    index_i = 2
    index_j = 2
  []

  [F11]
    type = RankTwoAux
    variable = F11
    rank_two_tensor = deformation_gradient
    index_i = 0
    index_j = 0
  []
  [F21]
    type = RankTwoAux
    variable = F21
    rank_two_tensor = deformation_gradient
    index_i = 1
    index_j = 0
  []
  [F31]
    type = RankTwoAux
    variable = F31
    rank_two_tensor = deformation_gradient
    index_i = 2
    index_j = 0
  []
  [F12]
    type = RankTwoAux
    variable = F12
    rank_two_tensor = deformation_gradient
    index_i = 0
    index_j = 1
  []
  [F22]
    type = RankTwoAux
    variable = F22
    rank_two_tensor = deformation_gradient
    index_i = 1
    index_j = 1
  []
  [F32]
    type = RankTwoAux
    variable = F32
    rank_two_tensor = deformation_gradient
    index_i = 2
    index_j = 1
  []
  [F13]
    type = RankTwoAux
    variable = F13
    rank_two_tensor = deformation_gradient
    index_i = 0
    index_j = 2
  []
  [F23]
    type = RankTwoAux
    variable = F23
    rank_two_tensor = deformation_gradient
    index_i = 1
    index_j = 2
  []
  [F33]
    type = RankTwoAux
    variable = F33
    rank_two_tensor = deformation_gradient
    index_i = 2
    index_j = 2
  []
[]

[Postprocessors]
  [s11]
    type = ElementAverageValue
    variable = s11
    execute_on = 'initial timestep_end'
  []
  [s21]
    type = ElementAverageValue
    variable = s21
    execute_on = 'initial timestep_end'
  []
  [s31]
    type = ElementAverageValue
    variable = s31
    execute_on = 'initial timestep_end'
  []
  [s12]
    type = ElementAverageValue
    variable = s12
    execute_on = 'initial timestep_end'
  []
  [s22]
    type = ElementAverageValue
    variable = s22
    execute_on = 'initial timestep_end'
  []
  [s32]
    type = ElementAverageValue
    variable = s32
    execute_on = 'initial timestep_end'
  []
  [s13]
    type = ElementAverageValue
    variable = s13
    execute_on = 'initial timestep_end'
  []
  [s23]
    type = ElementAverageValue
    variable = s23
    execute_on = 'initial timestep_end'
  []
  [s33]
    type = ElementAverageValue
    variable = s33
    execute_on = 'initial timestep_end'
  []

  [F11]
    type = ElementAverageValue
    variable = F11
    execute_on = 'initial timestep_end'
  []
  [F21]
    type = ElementAverageValue
    variable = F21
    execute_on = 'initial timestep_end'
  []
  [F31]
    type = ElementAverageValue
    variable = F31
    execute_on = 'initial timestep_end'
  []
  [F12]
    type = ElementAverageValue
    variable = F12
    execute_on = 'initial timestep_end'
  []
  [F22]
    type = ElementAverageValue
    variable = F22
    execute_on = 'initial timestep_end'
  []
  [F32]
    type = ElementAverageValue
    variable = F32
    execute_on = 'initial timestep_end'
  []
  [F13]
    type = ElementAverageValue
    variable = F13
    execute_on = 'initial timestep_end'
  []
  [F23]
    type = ElementAverageValue
    variable = F23
    execute_on = 'initial timestep_end'
  []
  [F33]
    type = ElementAverageValue
    variable = F33
    execute_on = 'initial timestep_end'
  []
[]

[Preconditioning]
  [smp]
    type = SMP
    full = true
  []
[]

[Executioner]
  type = Transient

  solve_type = 'newton'
  line_search = none

  petsc_options_iname = '-pc_type'
  petsc_options_value = 'lu'

  l_max_its = 2
  l_tol = 1e-14
  nl_max_its = 10
  nl_rel_tol = 1e-8
  nl_abs_tol = 1e-10

  start_time = 0.0
  dt = 1.0
  dtmin = 1.0
  end_time = 1.0
[]

[Outputs]
  exodus = false
  csv = true
[]

(modules/solid_mechanics/test/tests/isotropicSD_plasticity/powerRuleHardening.i)

# UserObject IsotropicSD test, with power rule hardening with rate 1e2.
# Linear strain is applied in the x and y direction.

[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin =  -.5
  xmax = .5
  ymin = -.5
  ymax = .5
  zmin = -.5
  zmax = .5
[]


[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
[]

[Kernels]
  [SolidMechanics]
    displacements = 'disp_x disp_y disp_z'
  [../]
[]


[BCs]
  [./xdisp]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'right'
    function = '0.005*t'
  [../]
  [./ydisp]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'top'
    function = '0.005*t'
  [../]
  [./yfix]
    type = DirichletBC
    variable = disp_y
    #boundary = 'bottom top'
    boundary = 'bottom'
    value = 0
  [../]
  [./xfix]
    type = DirichletBC
    variable = disp_x
    boundary = 'left'
    value = 0
  [../]
  [./zfix]
    type = DirichletBC
    variable = disp_z
    #boundary = 'front back'
    boundary = 'back'
    value = 0
  [../]
[]

[AuxVariables]
  [./stress_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./plastic_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./plastic_xy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./plastic_xz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./plastic_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./plastic_yz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./plastic_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./iter]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./intnl]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./sdev]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./sdet]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]

[AuxKernels]
  [./stress_xx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xx
    index_i = 0
    index_j = 0
  [../]
  [./stress_xy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xy
    index_i = 0
    index_j = 1
  [../]
  [./stress_xz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xz
    index_i = 0
    index_j = 2
  [../]
  [./stress_yy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yy
    index_i = 1
    index_j = 1
  [../]
  [./stress_yz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yz
    index_i = 1
    index_j = 2
  [../]
  [./stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zz
    index_i = 2
    index_j = 2
  [../]
  [./plastic_xx]
    type = RankTwoAux
    rank_two_tensor = plastic_strain
    variable = plastic_xx
    index_i = 0
    index_j = 0
  [../]
  [./plastic_xy]
    type = RankTwoAux
    rank_two_tensor = plastic_strain
    variable = plastic_xy
    index_i = 0
    index_j = 1
  [../]
  [./plastic_xz]
    type = RankTwoAux
    rank_two_tensor = plastic_strain
    variable = plastic_xz
    index_i = 0
    index_j = 2
  [../]
  [./plastic_yy]
    type = RankTwoAux
    rank_two_tensor = plastic_strain
    variable = plastic_yy
    index_i = 1
    index_j = 1
  [../]
  [./plastic_yz]
    type = RankTwoAux
    rank_two_tensor = plastic_strain
    variable = plastic_yz
    index_i = 1
    index_j = 2
  [../]
  [./plastic_zz]
    type = RankTwoAux
    rank_two_tensor = plastic_strain
    variable = plastic_zz
    index_i = 2
    index_j = 2
  [../]
  [./f]
    type = MaterialStdVectorAux
    index = 0
    property = plastic_yield_function
    variable = f
  [../]
  [./iter]
    type = MaterialRealAux
    property = plastic_NR_iterations
    variable = iter
  [../]
  [./intnl]
    type = MaterialStdVectorAux
    index = 0
    property = plastic_internal_parameter
    variable = intnl
  [../]
  [./sdev]
    type = RankTwoScalarAux
    variable = sdev
    rank_two_tensor = stress
    scalar_type = VonMisesStress
  [../]
[]

[Postprocessors]
  [./sdev]
    type = PointValue
    point = '0 0 0'
    variable = sdev
  [../]
  [./s_xx]
    type = PointValue
    point = '0 0 0'
    variable = stress_xx
  [../]
  [./p_xx]
    type = PointValue
    point = '0 0 0'
    variable = plastic_xx
  [../]
  [./s_xy]
    type = PointValue
    point = '0 0 0'
    variable = stress_xy
  [../]
  [./p_xy]
    type = PointValue
    point = '0 0 0'
    variable = plastic_xy
  [../]
  [./p_xz]
    type = PointValue
    point = '0 0 0'
    variable = plastic_xz
  [../]
  [./p_yz]
    type = PointValue
    point = '0 0 0'
    variable = plastic_yz
  [../]
  [./s_xz]
    type = PointValue
    point = '0 0 0'
    variable = stress_xz
  [../]
  [./s_yy]
    type = PointValue
    point = '0 0 0'
    variable = stress_yy
  [../]
  [./p_yy]
    type = PointValue
    point = '0 0 0'
    variable = plastic_yy
  [../]
  [./s_yz]
    type = PointValue
    point = '0 0 0'
    variable = stress_yz
  [../]
  [./s_zz]
    type = PointValue
    point = '0 0 0'
    variable = stress_zz
  [../]
  [./p_zz]
    type = PointValue
    point = '0 0 0'
    variable = plastic_zz
  [../]
  [./intnl]
    type = PointValue
    point = '0 0 0'
    variable = intnl
  [../]
[]

[UserObjects]
  [./str]
    type = SolidMechanicsHardeningPowerRule
    value_0 = 300
    epsilon0 = 1
    exponent = 1e2

  [../]
  [./IsotropicSD]
    type = SolidMechanicsPlasticIsotropicSD
    b = -0.2
    c = -0.779422863
    associative = true
    yield_strength = str
    yield_function_tolerance = 1e-5
    internal_constraint_tolerance = 1e-9
    use_custom_returnMap = false
    use_custom_cto = false
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    block = 0
    fill_method = symmetric_isotropic
    C_ijkl = '121e3 80e3'
  [../]
  [./strain]
    type = ComputeFiniteStrain
    block = 0
    displacements = 'disp_x disp_y disp_z'
  [../]
  [./mc]
    type = ComputeMultiPlasticityStress
    block = 0
    ep_plastic_tolerance = 1e-9
    plastic_models = IsotropicSD
    debug_fspb = crash
    tangent_operator = elastic
  [../]
[]


[Executioner]
  num_steps = 3
  dt = .5
  type = Transient

  nl_rel_tol = 1e-6
  nl_max_its = 10
  l_tol = 1e-4
  l_max_its = 50

  solve_type = PJFNK
  petsc_options_iname = '-pc_type'
  petsc_options_value = 'lu'
[]


[Outputs]
  perf_graph = false
  csv = true
[]

[Preconditioning]
 [./smp]
   type = SMP
   full = true
 [../]
[]

(modules/solid_mechanics/test/tests/neml2/crystal_plasticity/approx_kinematics.i)

N = 2

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]

[Mesh]
  [gmg]
    type = GeneratedMeshGenerator
    dim = 3
    nx = ${N}
    ny = ${N}
    nz = ${N}
  []
[]

[Physics]
  [SolidMechanics]
    [QuasiStatic]
      [all]
        strain = FINITE
        new_system = true
        add_variables = true
        formulation = TOTAL
        volumetric_locking_correction = true
      []
    []
  []
[]

[NEML2]
  input = 'approx_kinematics_neml2.i'
  [all]
    model = 'model'
    verbose = true
    device = 'cpu'

    moose_input_types = 'MATERIAL                           POSTPROCESSOR POSTPROCESSOR MATERIAL                  MATERIAL                  MATERIAL'
    moose_inputs = '     spatial_velocity_increment         time          time          elastic_strain            orientation               slip_hardening'
    neml2_inputs = '     forces/spatial_velocity_increment  forces/t      old_forces/t  old_state/elastic_strain  old_state/orientation     old_state/internal/slip_hardening'

    moose_output_types = 'MATERIAL                            MATERIAL                  MATERIAL                  MATERIAL'
    moose_outputs = '     neml2_cauchy_stress                 elastic_strain            orientation               slip_hardening'
    neml2_outputs = '     state/internal/full_cauchy_stress   state/elastic_strain      state/orientation         state/internal/slip_hardening'

    moose_derivative_types = 'MATERIAL'
    moose_derivatives = '     neml2_cauchy_jacobian'
    neml2_derivatives = '     state/internal/full_cauchy_stress forces/spatial_velocity_increment'

    initialize_outputs = '      orientation'
    initialize_output_values = 'initial_orientation'
  []
[]

[Postprocessors]
  [time]
    type = TimePostprocessor
    execute_on = 'INITIAL TIMESTEP_BEGIN'
  []
[]

[Materials]
  [copy]
    type = ComputeLagrangianCauchyCustomStress
    custom_cauchy_stress = 'neml2_cauchy_stress'
    custom_cauchy_jacobian = 'neml2_cauchy_jacobian'
    large_kinematics = true
  []
  [initial_orientation]
    type = GenericConstantRealVectorValue
    vector_name = 'initial_orientation'
    vector_values = '-0.54412095 -0.34931944 0.12600655'
  []
[]

[BCs]
  [xfix]
    type = DirichletBC
    variable = disp_x
    boundary = left
    value = 0
  []
  [yfix]
    type = DirichletBC
    variable = disp_y
    boundary = bottom
    value = 0
  []
  [zfix]
    type = DirichletBC
    variable = disp_z
    boundary = back
    value = 0
  []
  [xdisp]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = right
    function = t
    preset = false
  []
[]

[Executioner]
  type = Transient
  solve_type = NEWTON
  petsc_options_iname = '-pc_type'
  petsc_options_value = 'lu'
  automatic_scaling = true
  dt = 5e-3
  dtmin = 1e-3
  num_steps = 5
  residual_and_jacobian_together = true
[]

[Outputs]
  exodus = true
[]

(modules/xfem/test/tests/moment_fitting/solid_mechanics_moment_fitting.i)

# Test for a mechanics problem which uses four points moment_fitting approach.
# See this paper (https://doi.org/10.1007/s00466-018-1544-2) for more details about moment_fitting approach.

[GlobalParams]
  order = FIRST
  family = LAGRANGE
  displacements = 'disp_x disp_y'
  volumetric_locking_correction = true
[]

[XFEM]
  qrule = moment_fitting
  output_cut_plane = true
[]

[Mesh]
  type = GeneratedMesh
  dim = 2
  nx = 10
  ny = 10
  xmin = 0.0
  xmax = 1.0
  ymin = 0.0
  ymax = 1.0
  elem_type = QUAD4
[]

[UserObjects]
  [./line_seg_cut_uo0]
    type = LineSegmentCutUserObject
    cut_data = '0.0000e+00   6.3330e-01   3.9000e-01   6.3330e-01'
    time_start_cut = 0.0
    time_end_cut = 0.0
  [../]
  [./line_seg_cut_uo1]
    type = LineSegmentCutUserObject
    cut_data = '3.9000e-01   6.3330e-01   6.8000e-01   6.3330e-01'
    time_start_cut = 0.0
    time_end_cut = 0.0
  [../]
[]

[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
[]

[Physics/SolidMechanics/QuasiStatic]
  [./all]
    strain = SMALL
  [../]
[]

[Functions]
  [./right_trac_x]
    type = ParsedFunction
    expression = '-(t*M*y)/I'
    symbol_names = 'M E I'
    symbol_values = '2e4 1e6 0.666666667'
  [../]
  [./bottom_disp_y]
    type = ParsedFunction
    expression = '((t*M)/(2*E*I))*(1-nu*nu)*(x*x-0.25*l*l)'
    symbol_names = 'M E I l nu'
    symbol_values = '2e4 1e6 0.666666667 2.0 0.3'
  [../]
  [./soln_x]
    type = ParsedFunction
    expression = '-(M/(E*I))*(1-nu*nu)*x*y'
    symbol_names = 'M E I nu'
    symbol_values = '2e4 1e6 0.666666667 0.3'
  [../]
  [./soln_y]
    type = ParsedFunction
    expression = '(M/(2*E*I))*(1-nu*nu)*(x*x-0.25*l*l+(nu/(1-nu))*y*y)'
    symbol_names = 'M E I l nu'
    symbol_values = '2e4 1e6 0.666666667 2.0 0.3'
  [../]
[]

[BCs]
  [./right_x]
    type = FunctionNeumannBC
    boundary = 1
    variable = disp_x
    function = right_trac_x
  [../]
  [./bottom_y]
    type = FunctionDirichletBC
    boundary = 0
    variable = disp_y
    function = bottom_disp_y
  [../]
  [./left_x]
    type = DirichletBC
    boundary = 3
    variable = disp_x
    value = 0.0
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeIsotropicElasticityTensor
    youngs_modulus = 1e6
    poissons_ratio = 0.3
  [../]
  [./stress]
    type = ComputeLinearElasticStress
  [../]
[]

[Executioner]
  type = Transient

  solve_type = 'PJFNK'
  petsc_options_iname = '-ksp_gmres_restart -pc_type -pc_hypre_type -pc_hypre_boomeramg_max_iter'
  petsc_options_value = '201                hypre    boomeramg      8'

  line_search = 'none'

#  [./Quadrature]
#    order = FOURTH
#    type = MONOMIAL
#  [../]

  [./Predictor]
    type = SimplePredictor
    scale = 1.0
  [../]

# controls for linear iterations
  l_max_its = 100
  l_tol = 1e-2

# controls for nonlinear iterations
  nl_max_its = 15
  nl_rel_tol = 1e-16
  nl_abs_tol = 1e-10

# time control
  start_time = 0.0
  dt = 0.5
  end_time = 1.0
  num_steps = 5000
[]

[Postprocessors]
  [./numel]
    type = NumElements
    execute_on = timestep_end
  [../]
  [./integral]
    type = ElementVectorL2Error
    var_x = disp_x
    var_y = disp_y
    function_x = soln_x
    function_y = soln_y
    execute_on = timestep_end
  [../]
[]

[Outputs]
  exodus = true
  [./console]
    type = Console
    output_linear = true
  [../]
[]

(modules/combined/test/tests/j2_plasticity_vs_LSH/necking/j2_hard1_neckingRZ.i)

#

[Mesh]
  file = necking_quad4.e
[]

[GlobalParams]
  displacements = 'disp_r disp_z'
[]

[Problem]
  coord_type = RZ
[]

[Variables]
  [./disp_r]
    order = FIRST
    family = LAGRANGE
  [../]
  [./disp_z]
    order = FIRST
    family = LAGRANGE
  [../]
[]

[Kernels]
  [./AxisymmetricRZ]
    use_displaced_mesh = true
#    save_in_disp_r = force_r
    save_in_disp_z = force_z
  [../]
[]

[AuxVariables]
  [./stress_rr]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./strain_rr]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./strain_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
#  [./force_r]
#    order = FIRST
#    family = LAGRANGE
#  [../]
  [./force_z]
    order = FIRST
    family = LAGRANGE
  [../]
[]

[AuxKernels]
  [./stress_rr]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_rr
    index_i = 0
    index_j = 0
  [../]
  [./stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zz
    index_i = 1
    index_j = 1
  [../]
  [./strain_rr]
    type = RankTwoAux
    rank_two_tensor = total_strain
    variable = strain_rr
    index_i = 0
    index_j = 0
  [../]
  [./strain_zz]
    type = RankTwoAux
    rank_two_tensor = total_strain
    variable = strain_zz
    index_i = 1
    index_j = 1
  [../]
[]

[BCs]
  [./left]
    type = DirichletBC
    variable = disp_r
    boundary = left
    value = 0.0
  [../]
  [./bottom]
    type = DirichletBC
    variable = disp_z
    boundary = bottom
    value = 0.0
  [../]
  [./z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = top
    function = 't/5'
  [../]
[]

[UserObjects]
  [./str]
    type = TensorMechanicsHardeningConstant
    value = 2.4e2
  [../]
  [./j2]
    type = TensorMechanicsPlasticJ2
    yield_strength = str
    yield_function_tolerance = 1E-3
    internal_constraint_tolerance = 1E-9
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    block = 1
    fill_method = symmetric_isotropic
    #with E = 2.1e5 and nu = 0.3
    #changed to SM values using E-nu to Lambda-G
    C_ijkl = '121154 80769.2'
  [../]
  [./strain]
    type = ComputeAxisymmetricRZFiniteStrain
    block = 1
  [../]
  [./mc]
    type = ComputeMultiPlasticityStress
    block = 1
    ep_plastic_tolerance = 1E-9
    plastic_models = j2
  [../]
[]

[Executioner]
  end_time = 0.1
  dt = 0.005
  type = Transient

  #Preconditioned JFNK (default)
  solve_type = 'PJFNK'

  petsc_options = '-snes_ksp_ew'
  petsc_options_iname = '-ksp_gmres_restart'
  petsc_options_value = '101'

  line_search = 'none'

  l_max_its = 100
  nl_max_its = 100
  nl_rel_tol = 1e-6
  nl_abs_tol = 1e-15
  l_tol = 1e-9
[]

[Postprocessors]
  [./stress_rr]
    type = ElementAverageValue
    variable = stress_rr
  [../]
  [./stress_zz]
    type = ElementAverageValue
    variable = stress_zz
  [../]
  [./strain_rr]
    type = ElementAverageValue
    variable = strain_rr
  [../]
  [./strain_zz]
    type = ElementAverageValue
    variable = strain_zz
  [../]
  [./disp_z]
    type = NodalSum
    variable = disp_z
    boundary = top
  [../]
  [./force_z]
    type = NodalSum
    variable = force_z
    boundary = top
  [../]
[]

[Outputs]
  exodus = true
  csv = true
  print_linear_residuals = false
  perf_graph = true
[]

(python/mms/test/mms_spatial.i)

[Mesh]
  type = GeneratedMesh
  dim = 2
  nx = 8
  ny = 8
[]

[Variables]
  [u][]
[]

[Kernels]
  [diff]
    type = ADDiffusion
    variable = u
  []
  [force]
    type = BodyForce
    variable = u
    function = force
  []
[]

[Functions]
  [exact]
    type = ParsedFunction
    expression = 'sin(2*pi*x)*sin(2*pi*y)'
  []
  [force]
    type = ParsedFunction
    expression = '8*pi^2*sin(2*x*pi)*sin(2*y*pi)'
  []
[]

[BCs]
  [all]
    type = FunctionDirichletBC
    variable = u
    function = exact
    boundary = 'left right top bottom'
  []
[]

[Postprocessors]
  [error]
    type = ElementL2Error
    function = exact
    variable = u
  []
  [h]
    type = AverageElementSize
  []
[]

[Executioner]
  type = Steady
  solve_type = 'PJFNK'
  petsc_options_iname = '-pc_type -pc_hypre_type'
  petsc_options_value = 'hypre boomeramg'
[]

[Outputs]
  exodus = true
  csv = true
[]

(modules/solid_mechanics/test/tests/crystal_plasticity/user_object_based/user_object_011orientation.i)

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]

[Mesh]
  type = GeneratedMesh
  dim = 3
  elem_type = HEX8
[]

[AuxVariables]
  [./pk2]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./fp_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./lagrangian_strain_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./lagrangian_strain_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./gss]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./slip_increment]
   order = CONSTANT
   family = MONOMIAL
  [../]
[]

[Physics/SolidMechanics/QuasiStatic/all]
  strain = FINITE
  add_variables = true
  generate_output = stress_zz
[]

[AuxKernels]
  [./pk2]
   type = RankTwoAux
   variable = pk2
   rank_two_tensor = pk2
   index_j = 2
   index_i = 2
   execute_on = timestep_end
  [../]
  [./fp_zz]
    type = RankTwoAux
    variable = fp_zz
    rank_two_tensor = fp
    index_j = 2
    index_i = 2
    execute_on = timestep_end
  [../]
  [./lagrangian_strain_zz]
    type = RankTwoAux
    variable = lagrangian_strain_zz
    rank_two_tensor = lage
    index_j = 2
    index_i = 2
    execute_on = timestep_end
  [../]
  [./lagrangian_strain_yy]
    type = RankTwoAux
    rank_two_tensor = lage
    variable = lagrangian_strain_yy
    index_i = 1
    index_j = 1
    execute_on = timestep_end
  [../]
  [./slip_inc]
   type = MaterialStdVectorAux
   variable = slip_increment
   property = slip_rate_gss
   index = 0
   execute_on = timestep_end
  [../]
  [./gss]
    type = MaterialStdVectorAux
    variable = gss
    property = state_var_gss
    index = 0
    execute_on = timestep_end
  [../]
[]

[BCs]
  [./symmy]
    type = DirichletBC
    variable = disp_y
    boundary = bottom
    value = 0
  [../]
  [./symmx]
    type = DirichletBC
    variable = disp_x
    boundary = left
    value = 0
  [../]
  [./symmz]
    type = DirichletBC
    variable = disp_z
    boundary = back
    value = 0
  [../]
  [./tdisp]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = front
    function = '0.01*t'
  [../]
[]

[UserObjects]
  [./slip_rate_gss]
    type = CrystalPlasticitySlipRateGSS
    variable_size = 12
    slip_sys_file_name = input_slip_sys.txt
    num_slip_sys_flowrate_props = 2
    flowprops = '1 4 0.001 0.1 5 8 0.001 0.1 9 12 0.001 0.1'
    uo_state_var_name = state_var_gss
  [../]
  [./slip_resistance_gss]
    type = CrystalPlasticitySlipResistanceGSS
    variable_size = 12
    uo_state_var_name = state_var_gss
  [../]
  [./state_var_gss]
    type = CrystalPlasticityStateVariable
    variable_size = 12
    groups = '0 4 8 12'
    group_values = '60.8 60.8 60.8'
    uo_state_var_evol_rate_comp_name = state_var_evol_rate_comp_gss
    scale_factor = 1.0
  [../]
  [./state_var_evol_rate_comp_gss]
    type = CrystalPlasticityStateVarRateComponentGSS
    variable_size = 12
    hprops = '1.0 541.5 109.8 2.5'
    uo_slip_rate_name = slip_rate_gss
    uo_state_var_name = state_var_gss
  [../]
[]

[Materials]
  [./crysp]
    type = FiniteStrainUObasedCP
    stol = 1e-2
    tan_mod_type = exact
    uo_slip_rates = 'slip_rate_gss'
    uo_slip_resistances = 'slip_resistance_gss'
    uo_state_vars = 'state_var_gss'
    uo_state_var_evol_rate_comps = 'state_var_evol_rate_comp_gss'
  [../]
  [./elasticity_tensor]
    type = ComputeElasticityTensorCP
    C_ijkl = '1.684e5 1.214e5 1.214e5 1.684e5 1.214e5 1.684e5 0.754e5 0.754e5 0.754e5'
    fill_method = symmetric9
    euler_angle_1 = 120.0
    euler_angle_2 = 125.264
    euler_angle_3 =  45.0
  [../]
[]

[Postprocessors]
  [./stress_zz]
    type = ElementAverageValue
    variable = stress_zz
  [../]
  [./pk2]
   type = ElementAverageValue
   variable = pk2
  [../]
  [./fp_zz]
    type = ElementAverageValue
    variable = fp_zz
  [../]
  [./lagrangian_strain_yy]
    type = ElementAverageValue
    variable = lagrangian_strain_yy
  [../]
  [./lagrangian_strain_zz]
    type = ElementAverageValue
    variable = lagrangian_strain_zz
  [../]
  [./gss]
    type = ElementAverageValue
    variable = gss
  [../]
  [./slip_increment]
   type = ElementAverageValue
   variable = slip_increment
  [../]
[]

[Preconditioning]
  [./smp]
    type = SMP
    full = true
  [../]
[]

[Executioner]
  type = Transient
  dt = 0.05
  solve_type = 'PJFNK'

  petsc_options_iname = -pc_hypre_type
  petsc_options_value = boomerang
  nl_abs_tol = 1e-10
  nl_rel_step_tol = 1e-10
  dtmax = 10.0
  nl_rel_tol = 1e-10
  dtmin = 0.05
  num_steps = 10
  nl_abs_step_tol = 1e-10
[]

[Outputs]
  csv = true
[]

(test/tests/utils/spline_interpolation/bicubic_spline_interpolation_y_normal.i)

[Mesh]
  type = GeneratedMesh
  dim = 3
  ny = 1 # needed to ensure Z is the problem dimension
  nx = 4
  nz = 4
  xmax = 4
  zmax = 4
[]

[Functions]
  [./yx1]
    type = ParsedFunction
    expression = '3*z^2'
  [../]
  [./yx2]
    type = ParsedFunction
    expression = '6*x^2'
  [../]
  [./spline_fn]
    type = BicubicSplineFunction
    normal_component = y
    x1 = '0 2 4'
    x2 = '0 2 4 6'
    y = '0 16 128 432 8 24 136 440 64 80 192 496'
    yx11 = '0 0 0 0'
    yx1n = '48 48 48 48'
    yx21 = '0 0 0'
    yx2n = '216 216 216'
    yx1 = 'yx1'
    yx2 = 'yx2'
  [../]
  [./u_func]
    type = ParsedFunction
    expression = 'z^3 + 2*x^3'
  [../]
  [./u2_forcing_func]
    type = ParsedFunction
    expression = '-6*z - 12*x'
  [../]
[]

[Variables]
  [./u]
  [../]
[]

[AuxVariables]
  [./bi_func_value]
    order = FIRST
    family = LAGRANGE
  [../]
  [./x_deriv]
    order = FIRST
    family = LAGRANGE
  [../]
  [./z_deriv]
    order = FIRST
    family = LAGRANGE
  [../]
[]

[AuxKernels]
  [./bi_func_value]
    type = FunctionAux
    variable = bi_func_value
    function = spline_fn
  [../]
  [./deriv_1]
    type = FunctionDerivativeAux
    function = spline_fn
    variable = z_deriv
    component = z
  [../]
  [./deriv_2]
    type = FunctionDerivativeAux
    function = spline_fn
    variable = x_deriv
    component = x
  [../]
[]

[Kernels]
  [./diff]
    type = Diffusion
    variable = u
  [../]
  [./body_force]
    type = BodyForce
    variable = u
    function = u2_forcing_func
  [../]
[]

[BCs]
  [./sides]
    type = FunctionDirichletBC
    variable = u
    boundary = 'left right front back'
    function = u_func
  [../]
[]

[Postprocessors]
  [./nodal_l2_err_spline]
    type = NodalL2Error
    variable = u
    function = spline_fn
    execute_on = 'initial timestep_end'
  [../]
  [./nodal_l2_err_analytic]
    type = NodalL2Error
    variable = u
    function = u_func
    execute_on = 'initial timestep_end'
  [../]
  [./x_deriv_err_analytic]
    type = NodalL2Error
    variable = x_deriv
    function = yx2
    execute_on = 'initial timestep_end'
  [../]
  [./z_deriv_err_analytic]
    type = NodalL2Error
    variable = z_deriv
    function = yx1
    execute_on = 'initial timestep_end'
  [../]
[]

[Executioner]
  type = Steady
  solve_type = NEWTON
  nl_rel_tol = 1e-12
[]

[Outputs]
  exodus = true
[]

(test/tests/geomsearch/2d_moving_penetration/pl_test3.i)

[GlobalParams]
  order = FIRST
  family = LAGRANGE
[]

[Mesh]
  file = pl_test3.e
  displacements = 'disp_x disp_y'
[]

[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
[]

[AuxVariables]
  [./distance]
  [../]
  [./tangential_distance]
  [../]
  [./normal_x]
  [../]
  [./normal_y]
  [../]
  [./closest_point_x]
  [../]
  [./closest_point_y]
  [../]
  [./element_id]
  [../]
  [./side]
  [../]
[]

[Kernels]
  [./diff_x]
    type = Diffusion
    variable = disp_x
  [../]
  [./diff_y]
    type = Diffusion
    variable = disp_y
  [../]
[]

[AuxKernels]
  [./penetrate]
    type = PenetrationAux
    variable = distance
    boundary = 11            #secondary
    paired_boundary = 12     #primary
  [../]

  [./penetrate2]
    type = PenetrationAux
    variable = distance
    boundary = 12            #secondary
    paired_boundary = 11     #primary
  [../]

  [./penetrate3]
    type = PenetrationAux
    variable = tangential_distance
    boundary = 11
    paired_boundary = 12
    quantity = tangential_distance
  [../]

  [./penetrate4]
    type = PenetrationAux
    variable = tangential_distance
    boundary = 12
    paired_boundary = 11
    quantity = tangential_distance
  [../]

  [./penetrate5]
    type = PenetrationAux
    variable = normal_x
    boundary = 11
    paired_boundary = 12
    quantity = normal_x
  [../]

  [./penetrate6]
    type = PenetrationAux
    variable = normal_x
    boundary = 12
    paired_boundary = 11
    quantity = normal_x
  [../]

  [./penetrate7]
    type = PenetrationAux
    variable = normal_y
    boundary = 11
    paired_boundary = 12
    quantity = normal_y
  [../]

  [./penetrate8]
    type = PenetrationAux
    variable = normal_y
    boundary = 12
    paired_boundary = 11
    quantity = normal_y
  [../]

  [./penetrate9]
    type = PenetrationAux
    variable = closest_point_x
    boundary = 11
    paired_boundary = 12
    quantity = closest_point_x
  [../]

  [./penetrate10]
    type = PenetrationAux
    variable = closest_point_x
    boundary = 12
    paired_boundary = 11
    quantity = closest_point_x
  [../]

  [./penetrate11]
    type = PenetrationAux
    variable = closest_point_y
    boundary = 11
    paired_boundary = 12
    quantity = closest_point_y
  [../]

  [./penetrate12]
    type = PenetrationAux
    variable = closest_point_y
    boundary = 12
    paired_boundary = 11
    quantity = closest_point_y
  [../]

  [./penetrate13]
    type = PenetrationAux
    variable = element_id
    boundary = 11
    paired_boundary = 12
    quantity = element_id
  [../]

  [./penetrate14]
    type = PenetrationAux
    variable = element_id
    boundary = 12
    paired_boundary = 11
    quantity = element_id
  [../]

  [./penetrate15]
    type = PenetrationAux
    variable = side
    boundary = 11
    paired_boundary = 12
    quantity = side
  [../]

  [./penetrate16]
    type = PenetrationAux
    variable = side
    boundary = 12
    paired_boundary = 11
    quantity = side
  [../]
[]

[BCs]
  [./b1x]
    type = DirichletBC
    variable = disp_x
    boundary = 1
    value = 0
  [../]

  [./b1y]
    type = DirichletBC
    variable = disp_y
    boundary = 1
    value = 0
  [../]

  [./b2x]
    type = DirichletBC
    variable = disp_x
    boundary = 2
    value = 0
  [../]

  [./b2y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 2
    function = disp_y
  [../]
[]

[Functions]
  [./disp_y]
    type = PiecewiseLinear
    x = '0.0 0.25 0.75 1.0'
    y = '0.0 2.0 -2.0  0.0'
  [../]
[]

[Executioner]
  type = Transient

  solve_type = 'PJFNK'
  petsc_options = '-snes_ksp_ew'

  nl_rel_tol = 1.e-10
  l_max_its = 10

  start_time = 0.0
  dt = 0.0125
  end_time = 1.0
[]

[Outputs]
  file_base = pl_test3_out
  exodus = true
[]

(tutorials/darcy_thermo_mech/step09_mechanics/problems/step9.i)

[GlobalParams]
  displacements = 'disp_r disp_z'
[]

[Mesh]
  [gmg]
    type = GeneratedMeshGenerator
    dim = 2
    nx = 10
    ny = 200
    ymax = 0.304 # Length of test chamber
    xmax = 0.0257 # Test chamber radius
  []
  [bottom]
    type = SubdomainBoundingBoxGenerator
    input = gmg
    location = inside
    bottom_left = '0 0 0'
    top_right = '0.01285 0.304 0'
    block_id = 1
  []
  coord_type = RZ
[]

[Variables]
  [pressure]
  []
  [temperature]
    initial_condition = 300 # Start at room temperature
  []
[]

[Physics/SolidMechanics/QuasiStatic]
  [all]
    # This block adds all of the proper Kernels, strain calculators, and Variables
    # for SolidMechanics in the correct coordinate system (autodetected)
    add_variables = true
    strain = FINITE
    eigenstrain_names = eigenstrain
    use_automatic_differentiation = true
    generate_output = 'vonmises_stress elastic_strain_xx elastic_strain_yy strain_xx strain_yy'
  []
[]

[Kernels]
  [darcy_pressure]
    type = DarcyPressure
    variable = pressure
  []
  [heat_conduction]
    type = ADHeatConduction
    variable = temperature
  []
  [heat_conduction_time_derivative]
    type = ADHeatConductionTimeDerivative
    variable = temperature
  []
  [heat_convection]
    type = DarcyAdvection
    variable = temperature
    pressure = pressure
  []
[]

[BCs]
  [inlet_temperature]
    type = FunctionDirichletBC
    variable = temperature
    boundary = bottom
    function = 'if(t<0,350+50*t,350)'
  []
  [outlet_temperature]
    type = HeatConductionOutflow
    variable = temperature
    boundary = top
  []
  [inlet]
    type = DirichletBC
    variable = pressure
    boundary = bottom
    value = 4000 # (Pa) From Figure 2 from paper.  First data point for 1mm spheres.
  []
  [outlet]
    type = DirichletBC
    variable = pressure
    boundary = top
    value = 0 # (Pa) Gives the correct pressure drop from Figure 2 for 1mm spheres
  []
  [hold_inlet]
    type = DirichletBC
    variable = disp_z
    boundary = bottom
    value = 0
  []
  [hold_center]
    type = DirichletBC
    variable = disp_r
    boundary = left
    value = 0
  []
  [hold_outside]
    type = DirichletBC
    variable = disp_r
    boundary = right
    value = 0
  []
[]

[Materials]
  viscosity_file = data/water_viscosity.csv
  density_file = data/water_density.csv
  thermal_conductivity_file = data/water_thermal_conductivity.csv
  specific_heat_file = data/water_specific_heat.csv
  thermal_expansion_file = data/water_thermal_expansion.csv

  [column_top]
    type = PackedColumn
    block = 0
    temperature = temperature
    radius = 1.15
    fluid_viscosity_file = ${viscosity_file}
    fluid_density_file = ${density_file}
    fluid_thermal_conductivity_file = ${thermal_conductivity_file}
    fluid_specific_heat_file = ${specific_heat_file}
    fluid_thermal_expansion_file = ${thermal_expansion_file}
  []
  [column_bottom]
    type = PackedColumn
    block = 1
    temperature = temperature
    radius = 1
    fluid_viscosity_file = ${viscosity_file}
    fluid_density_file = ${density_file}
    fluid_thermal_conductivity_file = ${thermal_conductivity_file}
    fluid_specific_heat_file = ${specific_heat_file}
    fluid_thermal_expansion_file = ${thermal_expansion_file}
  []

  [elasticity_tensor]
    type = ADComputeIsotropicElasticityTensor
    youngs_modulus = 200e9 # (Pa) from wikipedia
    poissons_ratio = .3 # from wikipedia
  []
  [elastic_stress]
    type = ADComputeFiniteStrainElasticStress
  []
  [thermal_strain]
    type = ADComputeThermalExpansionEigenstrain
    stress_free_temperature = 300
    eigenstrain_name = eigenstrain
    temperature = temperature
    thermal_expansion_coeff = 1e-5
  []
[]

[Postprocessors/average_temperature]
  type = ElementAverageValue
  variable = temperature
[]

[AuxVariables/velocity]
  order = CONSTANT
  family = MONOMIAL_VEC
[]

[AuxKernels/velocity]
  type = DarcyVelocity
  variable = velocity
  execute_on = timestep_end
  pressure = pressure
[]

[Problem]
  type = FEProblem
[]

[Executioner]
  type = Transient
  end_time = 200
  dt = 0.25
  start_time = -1

  solve_type = PJFNK
  petsc_options_iname = '-pc_type'
  petsc_options_value = 'lu'
  line_search = none

  automatic_scaling = true
  compute_scaling_once = false
  steady_state_tolerance = 1e-7
  steady_state_detection = true

  [TimeStepper]
    type = FunctionDT
    function = 'if(t<0,0.1,0.25)'
  []
[]

[Outputs/out]
  type = Exodus
  elemental_as_nodal = true
[]

(modules/solid_mechanics/test/tests/lagrangian/cartesian/updated/action/no_action_L.i)

[Mesh]
  type = FileMesh
  file = 'L.exo'
[]

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
  large_kinematics = true
  stabilize_strain = false
[]

[Variables]
  [disp_x]
  []
  [disp_y]
  []
  [disp_z]
  []
[]

[Functions]
  [pfn]
    type = PiecewiseLinear
    x = '0    1    2'
    y = '0.00 0.3 0.5'
  []
[]

[Kernels]
  [sdx]
    type = UpdatedLagrangianStressDivergence
    variable = disp_x
    component = 0
    use_displaced_mesh = true
  []
  [sdy]
    type = UpdatedLagrangianStressDivergence
    variable = disp_y
    component = 1
    use_displaced_mesh = true
  []
  [sdz]
    type = UpdatedLagrangianStressDivergence
    variable = disp_z
    component = 2
    use_displaced_mesh = true
  []
[]

[BCs]
  [left]
    type = DirichletBC
    preset = true
    variable = disp_x
    boundary = fix
    value = 0.0
  []

  [bottom]
    type = DirichletBC
    preset = true
    variable = disp_y
    boundary = fix
    value = 0.0
  []

  [back]
    type = DirichletBC
    preset = true
    variable = disp_z
    boundary = fix
    value = 0.0
  []

  [front]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = pull
    function = pfn
    preset = true
  []
[]

[AuxVariables]
  [strain_xx]
    order = CONSTANT
    family = MONOMIAL
  []
  [strain_yy]
    order = CONSTANT
    family = MONOMIAL
  []
  [strain_zz]
    order = CONSTANT
    family = MONOMIAL
  []
  [strain_xy]
    order = CONSTANT
    family = MONOMIAL
  []
  [strain_xz]
    order = CONSTANT
    family = MONOMIAL
  []
  [strain_yz]
    order = CONSTANT
    family = MONOMIAL
  []
  [cauchy_stress_xx]
    order = CONSTANT
    family = MONOMIAL
  []
  [cauchy_stress_yy]
    order = CONSTANT
    family = MONOMIAL
  []
  [cauchy_stress_zz]
    order = CONSTANT
    family = MONOMIAL
  []
  [cauchy_stress_xy]
    order = CONSTANT
    family = MONOMIAL
  []
  [cauchy_stress_yz]
    order = CONSTANT
    family = MONOMIAL
  []
  [cauchy_stress_xz]
    order = CONSTANT
    family = MONOMIAL
  []
[]

[AuxKernels]
  [cauchy_stress_xx]
    type = RankTwoAux
    rank_two_tensor = cauchy_stress
    variable = cauchy_stress_xx
    index_i = 0
    index_j = 0
    execute_on = timestep_end
  []
  [cauchy_stress_yy]
    type = RankTwoAux
    rank_two_tensor = cauchy_stress
    variable = cauchy_stress_yy
    index_i = 1
    index_j = 1
    execute_on = timestep_end
  []
  [cauchy_stress_zz]
    type = RankTwoAux
    rank_two_tensor = cauchy_stress
    variable = cauchy_stress_zz
    index_i = 2
    index_j = 2
    execute_on = timestep_end
  []
  [cauchy_stress_xy]
    type = RankTwoAux
    rank_two_tensor = cauchy_stress
    variable = cauchy_stress_xy
    index_i = 0
    index_j = 1
    execute_on = timestep_end
  []
  [cauchy_stress_xz]
    type = RankTwoAux
    rank_two_tensor = cauchy_stress
    variable = cauchy_stress_xz
    index_i = 0
    index_j = 2
    execute_on = timestep_end
  []
  [cauchy_stress_yz]
    type = RankTwoAux
    rank_two_tensor = cauchy_stress
    variable = cauchy_stress_yz
    index_i = 1
    index_j = 2
    execute_on = timestep_end
  []

  [strain_xx]
    type = RankTwoAux
    rank_two_tensor = total_strain
    variable = strain_xx
    index_i = 0
    index_j = 0
    execute_on = timestep_end
  []
  [strain_yy]
    type = RankTwoAux
    rank_two_tensor = total_strain
    variable = strain_yy
    index_i = 1
    index_j = 1
    execute_on = timestep_end
  []
  [strain_zz]
    type = RankTwoAux
    rank_two_tensor = total_strain
    variable = strain_zz
    index_i = 2
    index_j = 2
    execute_on = timestep_end
  []
  [strain_xy]
    type = RankTwoAux
    rank_two_tensor = total_strain
    variable = strain_xy
    index_i = 0
    index_j = 1
    execute_on = timestep_end
  []
  [strain_xz]
    type = RankTwoAux
    rank_two_tensor = total_strain
    variable = strain_xz
    index_i = 0
    index_j = 2
    execute_on = timestep_end
  []
  [strain_yz]
    type = RankTwoAux
    rank_two_tensor = total_strain
    variable = strain_yz
    index_i = 1
    index_j = 2
    execute_on = timestep_end
  []
[]

[Materials]
  [elastic_tensor]
    type = ComputeIsotropicElasticityTensor
    youngs_modulus = 100000.0
    poissons_ratio = 0.25
  []
  [compute_stress]
    type = ComputeLagrangianLinearElasticStress
  []
  [compute_strain]
    type = ComputeLagrangianStrain
  []
[]

[Preconditioning]
  [smp]
    type = SMP
    full = true
  []
[]

[Executioner]
  type = Transient

  solve_type = 'newton'

  petsc_options_iname = -pc_type
  petsc_options_value = lu

  nl_abs_tol = 1e-10
  nl_rel_tol = 1e-8

  end_time = 1.0
  dtmin = 0.5
  dt = 0.5
[]

[Outputs]
  exodus = true
  csv = false
[]

(modules/solid_mechanics/test/tests/tensile/planar6.i)

# A single unit element is stretched by (0.5, 0.4, 0.3)E-6m
# with Lame lambda = 0.6E6 and Lame mu (shear) = 1E6
# stress_xx = 1.72 Pa
# stress_yy = 1.52 Pa
# stress_zz = 1.32 Pa
# tensile_strength is set to 0.5Pa with cubic hardening to 1Pa at intnl=1E-6
#
# The return should be to the tip with, according to mathematica
# sum(plastic_multiplier) = 5.67923989317E-7
# stress_xx = stress_yy = stress_zz = 0.80062961323

[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]
[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]

[Physics/SolidMechanics/QuasiStatic]
  [./all]
    add_variables = true
    incremental = true
    strain = finite
    generate_output = 'stress_xx stress_xy stress_xz stress_yy stress_yz stress_zz'
  [../]
[]

[BCs]
  [./x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'front back'
    function = '0.5E-6*x'
  [../]
  [./y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'front back'
    function = '0.4E-6*y'
  [../]
  [./z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'front back'
    function = '0.3E-6*z'
  [../]
[]

[AuxVariables]
  [./f0]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f1]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f2]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./iter]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./intnl]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]

[AuxKernels]
  [./f0_auxk]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 0
    variable = f0
  [../]
  [./f1_auxk]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 1
    variable = f1
  [../]
  [./f2_auxk]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 2
    variable = f2
  [../]
  [./iter]
    type = MaterialRealAux
    property = plastic_NR_iterations
    variable = iter
  [../]
  [./intnl_auxk]
    type = MaterialStdVectorAux
    property = plastic_internal_parameter
    index = 0
    variable = intnl
  [../]
[]

[Postprocessors]
  [./s_xx]
    type = PointValue
    point = '0 0 0'
    variable = stress_xx
  [../]
  [./s_xy]
    type = PointValue
    point = '0 0 0'
    variable = stress_xy
  [../]
  [./s_xz]
    type = PointValue
    point = '0 0 0'
    variable = stress_xz
  [../]
  [./s_yy]
    type = PointValue
    point = '0 0 0'
    variable = stress_yy
  [../]
  [./s_yz]
    type = PointValue
    point = '0 0 0'
    variable = stress_yz
  [../]
  [./s_zz]
    type = PointValue
    point = '0 0 0'
    variable = stress_zz
  [../]
  [./f0]
    type = PointValue
    point = '0 0 0'
    variable = f0
  [../]
  [./f1]
    type = PointValue
    point = '0 0 0'
    variable = f1
  [../]
  [./f2]
    type = PointValue
    point = '0 0 0'
    variable = f2
  [../]
  [./iter]
    type = PointValue
    point = '0 0 0'
    variable = iter
  [../]
  [./intnl]
    type = PointValue
    point = '0 0 0'
    variable = intnl
  [../]
[]

[UserObjects]
  [./hard]
    type = SolidMechanicsHardeningCubic
    value_0 = 0.5
    value_residual = 1
    internal_limit = 1E-6
  [../]
  [./tens]
    type = SolidMechanicsPlasticTensileMulti
    tensile_strength = hard
    shift = 1E-6
    yield_function_tolerance = 1E-6
    internal_constraint_tolerance = 1E-5
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    block = 0
    fill_method = symmetric_isotropic
    C_ijkl = '0.6E6 1E6'
  [../]
  [./mc]
    type = ComputeMultiPlasticityStress
    block = 0
    ep_plastic_tolerance = 1E-5
    plastic_models = tens
    debug_fspb = none
    debug_jac_at_stress = '1 2 3 2 -4 -5 3 -5 10'
    debug_jac_at_pm = '0.1 0.2 0.3'
    debug_jac_at_intnl = 1E-6
    debug_stress_change = 1E-6
    debug_pm_change = '1E-6 1E-6 1E-6'
    debug_intnl_change = 1E-6
  [../]
[]


[Executioner]
  end_time = 1
  dt = 1
  type = Transient
[]


[Outputs]
  file_base = planar6
  exodus = false
  [./csv]
    type = CSV
    [../]
[]

(modules/solid_mechanics/test/tests/temperature_dependent_hardening/temp_dep_hardening.i)

#
# This is a test of the piece-wise linear strain hardening model using the
# small strain formulation.  This test exercises the temperature-dependent
# hardening curve capability.
#
# Test procedure:
# 1. The element is pulled to and then beyond the yield stress for a given
# temperature.
# 2. The displacement is then constant while the temperature increases and
# the yield stress decreases.  This results in a lower stress with more
# plastic strain.
# 3. The temperature decreases beyond its original value giving a higher
# yield stress.  The displacement increases, causing increases stress to
# the new yield stress.
# 4. The temperature and yield stress are constant with increasing
# displacement giving a constant stress and more plastic strain.
#
# Plotting total_strain_yy on the x axis and stress_yy on the y axis shows
# the stress history in a clear way.
#
#  s |
#  t |            *****
#  r |           *
#  e |   *****  *
#  s |  *    * *
#  s | *     *
#    |*
#    +------------------
#           total strain
#
# The exact same problem was run in Abaqus with exactly the same result.

[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  # This test uses ElementalVariableValue postprocessors on specific
  # elements, so element numbering needs to stay unchanged
  allow_renumbering = false
[]

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]

[AuxVariables]
  [./temp]
    order = FIRST
    family = LAGRANGE
    initial_condition = 500.0
  [../]
[]

[AuxKernels]
  [./temp_aux]
    type = FunctionAux
    variable = temp
    function = temp_hist
  [../]
[]

[Functions]
  [./top_pull]
    type = PiecewiseLinear
    x = '0 1     2    4    5    6'
    y = '0 0.025 0.05 0.05 0.06 0.085'
  [../]
  [./hf1]
    type = PiecewiseLinear
    x = '0.0  0.01 0.02 0.03 0.1'
    y = '5000 5030 5060 5090 5300'
  [../]
  [./hf2]
    type = PiecewiseLinear
    x = '0.0  0.01 0.02 0.03 0.1'
    y = '4000 4020 4040 4060 4200'
  [../]
  [./temp_hist]
    type = PiecewiseLinear
    x = '0   1   2   3   4'
    y = '500 500 500 600 400'
  [../]
[]

[Physics/SolidMechanics/QuasiStatic]
  [./all]
    strain = SMALL
    incremental = true
    add_variables = true
    generate_output = 'stress_yy strain_yy plastic_strain_xx plastic_strain_yy plastic_strain_zz'
  [../]
[]


[BCs]
  [./y_pull_function]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 3
    function = top_pull
  [../]
  [./x_bot]
    type = DirichletBC
    variable = disp_x
    boundary = 4
    value = 0.0
  [../]
  [./y_bot]
    type = DirichletBC
    variable = disp_y
    boundary = 1
    value = 0.0
  [../]
  [./z_bot]
    type = DirichletBC
    variable = disp_z
    boundary = 0
    value = 0.0
  [../]
[]

[Postprocessors]
  [./stress_yy_el]
    type = ElementalVariableValue
    variable = stress_yy
    elementid = 0
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeIsotropicElasticityTensor
    youngs_modulus = 2e5
    poissons_ratio = 0.3
  [../]
  [./temp_dep_hardening]
    type = TemperatureDependentHardeningStressUpdate
    hardening_functions = 'hf1 hf2'
    temperatures = '300.0 800.0'
    relative_tolerance = 1e-25
    absolute_tolerance = 1e-5
    temperature = temp
  [../]
  [./radial_return_stress]
    type = ComputeMultipleInelasticStress
    tangent_operator = elastic
    inelastic_models = 'temp_dep_hardening'
  [../]
[]

[Executioner]
  type = Transient
  solve_type = 'PJFNK'

  petsc_options = '-snes_ksp_ew'
  petsc_options_iname = '-ksp_gmres_restart -pc_type -pc_hypre_type -pc_hypre_boomeramg_max_iter'
  petsc_options_value = '201                hypre    boomeramg      4'

  line_search = 'none'

  l_max_its = 100
  nl_max_its = 100
  nl_rel_tol = 1e-12
  nl_abs_tol = 1e-10
  l_tol = 1e-9

  start_time = 0.0
  end_time = 6
  dt = 0.1
[]

[Outputs]
  [./out]
    type = Exodus
  [../]
[]

(modules/solid_mechanics/test/tests/mohr_coulomb/uni_axial2.i)

[Mesh]
  type = FileMesh
  file = quarter_hole.e
[]

[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
[]

[Kernels]
  [SolidMechanics]
    displacements = 'disp_x disp_y disp_z'
  [../]
[]


[BCs]
  [./zmin_zzero]
    type = DirichletBC
    variable = disp_z
    boundary = 'zmin'
    value = '0'
  [../]
  [./xmin_xzero]
    type = DirichletBC
    variable = disp_x
    boundary = 'xmin'
    value = '0'
  [../]
  [./ymin_yzero]
    type = DirichletBC
    variable = disp_y
    boundary = 'ymin'
    value = '0'
  [../]
  [./ymax_disp]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'ymax'
    function = '-1E-4*t'
  [../]
[]

[AuxVariables]
  [./stress_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./mc_int]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./yield_fcn]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]

[AuxKernels]
  [./stress_xx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xx
    index_i = 0
    index_j = 0
  [../]
  [./stress_xy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xy
    index_i = 0
    index_j = 1
  [../]
  [./stress_xz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xz
    index_i = 0
    index_j = 2
  [../]
  [./stress_yy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yy
    index_i = 1
    index_j = 1
  [../]
  [./stress_yz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yz
    index_i = 1
    index_j = 2
  [../]
  [./stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zz
    index_i = 2
    index_j = 2
  [../]
  [./mc_int_auxk]
    type = MaterialStdVectorAux
    index = 0
    property = plastic_internal_parameter
    variable = mc_int
  [../]
  [./yield_fcn_auxk]
    type = MaterialStdVectorAux
    index = 0
    property = plastic_yield_function
    variable = yield_fcn
  [../]
[]

[Postprocessors]
  [./s_xx]
    type = PointValue
    point = '0.005 0.02 0.002'
    variable = stress_xx
  [../]
  [./s_xy]
    type = PointValue
    point = '0.005 0.02 0.002'
    variable = stress_xy
  [../]
  [./s_xz]
    type = PointValue
    point = '0.005 0.02 0.002'
    variable = stress_xz
  [../]
  [./s_yy]
    type = PointValue
    point = '0.005 0.02 0.002'
    variable = stress_yy
  [../]
  [./s_yz]
    type = PointValue
    point = '0.005 0.02 0.002'
    variable = stress_yz
  [../]
  [./s_zz]
    type = PointValue
    point = '0.005 0.02 0.002'
    variable = stress_zz
  [../]
  [./f]
    type = PointValue
    point = '0.005 0.02 0.002'
    variable = yield_fcn
  [../]
[]

[UserObjects]
  [./mc_coh]
    type = SolidMechanicsHardeningConstant
    value = 10E6
  [../]
  [./mc_phi]
    type = SolidMechanicsHardeningConstant
    value = 2
    convert_to_radians = true
  [../]
  [./mc_psi]
    type = SolidMechanicsHardeningConstant
    value = 2
    convert_to_radians = true
  [../]
  [./mc]
    type = SolidMechanicsPlasticMohrCoulomb
    cohesion = mc_coh
    friction_angle = mc_phi
    dilation_angle = mc_psi
    mc_tip_smoother = 0.01E6
    mc_edge_smoother = 29
    yield_function_tolerance = 1E-5
    internal_constraint_tolerance = 1E-11
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    block = 1
    fill_method = symmetric_isotropic
    C_ijkl = '0 5E9' # young = 10Gpa, poisson = 0.0
  [../]
  [./strain]
    type = ComputeIncrementalStrain
    block = 1
    displacements = 'disp_x disp_y disp_z'
  [../]
  [./mc]
    type = ComputeMultiPlasticityStress
    block = 1
    ep_plastic_tolerance = 1E-11
    plastic_models = mc
    max_NR_iterations = 1000
    debug_fspb = crash
  [../]
[]

# Preconditioning and Executioner options kindly provided by Andrea
[Preconditioning]
  [./andy]
    type = SMP
    full = true
  [../]
[]


[Executioner]
  end_time = 0.5
  dt = 0.1
  solve_type = NEWTON
  type = Transient

  l_tol = 1E-2
  nl_abs_tol = 1E-9
  nl_rel_tol = 1E-11
  l_max_its = 200
  nl_max_its = 400

  petsc_options_iname = '-pc_type -pc_asm_overlap -sub_pc_type -ksp_type -ksp_gmres_restart'
  petsc_options_value = ' asm      2              lu            gmres     200'
[]


[Outputs]
  file_base = uni_axial2
  exodus = true
  [./csv]
    type = CSV
    [../]
[]

(test/tests/outputs/postprocessor/show_hide.i)

# Having 2 postprocessors, putting one into hide list and the other one into show list
# We should only see the PPS that is in the show list in the output.

[Mesh]
  type = GeneratedMesh
  dim = 2
  xmin = 0
  xmax = 1
  ymin = 0
  ymax = 1
  nx = 10
  ny = 10
  elem_type = QUAD4
  # This test uses ElementalVariableValue postprocessors on specific
  # elements, so element numbering needs to stay unchanged
  allow_renumbering = false
[]

[Functions]
  [./bc_fn]
    type = ParsedFunction
    expression = x
  [../]
[]

[Variables]
  [./u]
  [../]
[]

[Kernels]
  [./diff]
    type = Diffusion
    variable = u
  [../]
[]

[BCs]
  [./all_u]
    type = FunctionDirichletBC
    variable = u
    boundary = '1 3'
    function = bc_fn
  [../]
[]

[Postprocessors]
  [./elem_56]
    type = ElementalVariableValue
    variable = u
    elementid = 56
  [../]

  [./elem_12]
    type = ElementalVariableValue
    variable = u
    elementid = 12
  [../]
[]

[Executioner]
  type = Steady
  solve_type = 'NEWTON'
[]

[Outputs]
  [./console]
    type = Console
    show = 'elem_56'
    hide = 'elem_12'
  [../]
  [./out]
    type = CSV
    show = 'elem_56'
    hide = 'elem_12'
  [../]
[]

(test/tests/postprocessors/pps_interval/pps_out_interval.i)

[Mesh]
  file = square-2x2-nodeids.e
  # This test can only be run with renumering disabled, so the
  # NodalVariableValue postprocessor's node id is well-defined.
  allow_renumbering = false
[]

[Variables]
  active = 'u v'

  [./u]
    order = SECOND
    family = LAGRANGE
  [../]

  [./v]
    order = SECOND
    family = LAGRANGE
  [../]
[]

[Functions]
  active = 'force_fn exact_fn left_bc'

  [./force_fn]
    type = ParsedFunction
    expression = '1-x*x+2*t'
  [../]

  [./exact_fn]
    type = ParsedFunction
    expression = '(1-x*x)*t'
  [../]

  [./left_bc]
    type = ParsedFunction
    expression = t
  [../]
[]

[Kernels]
  active = '
    time_u diff_u ffn_u
    time_v diff_v'

  [./time_u]
    type = TimeDerivative
    variable = u
  [../]

  [./diff_u]
    type = Diffusion
    variable = u
  [../]

  [./ffn_u]
    type = BodyForce
    variable = u
    function = force_fn
  [../]

  [./time_v]
    type = TimeDerivative
    variable = v
  [../]

  [./diff_v]
    type = Diffusion
    variable = v
  [../]
[]

[BCs]
  active = 'all_u left_v right_v'

  [./all_u]
    type = FunctionDirichletBC
    variable = u
    boundary = '1'
    function = exact_fn
  [../]

  [./left_v]
    type = FunctionDirichletBC
    variable = v
    boundary = '3'
    function = left_bc
  [../]

  [./right_v]
    type = DirichletBC
    variable = v
    boundary = '2'
    value = 0
  [../]
[]

[Postprocessors]
  active = 'l2 node1 node4'

  [./l2]
    type = ElementL2Error
    variable = u
    function = exact_fn
  [../]

  [./node1]
    type = NodalVariableValue
    variable = u
    nodeid = 15
  [../]

  [./node4]
    type = NodalVariableValue
    variable = v
    nodeid = 10
  [../]
[]

[Executioner]
  type = Transient

  solve_type = 'PJFNK'

  dt = 0.1
  start_time = 0
  end_time = 1
[]

[Outputs]
  file_base = pps_out_interval
  time_step_interval = 2
  exodus = true
  [./console]
    type = Console
    time_step_interval = 1
  [../]
[]

(modules/solid_mechanics/test/tests/crystal_plasticity/user_object_based/exception.i)

[Mesh]
  type = GeneratedMesh
  dim = 3
  elem_type = HEX8
  displacements = 'ux uy uz'
[]

[Variables]
  [./ux]
  [../]
  [./uy]
  [../]
  [./uz]
  [../]
[]

[AuxVariables]
  [./stress_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./pk2]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./fp_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./rotout]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./e_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./gss]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./slip_increment]
   order = CONSTANT
   family = MONOMIAL
  [../]
[]

[Functions]
  [./tdisp]
    type = ParsedFunction
    expression = 0.1*t
  [../]
[]

[Kernels]
  [SolidMechanics]
    displacements = 'ux uy uz'
    use_displaced_mesh = true
  [../]
[]

[AuxKernels]
  [./stress_zz]
    type = RankTwoAux
    variable = stress_zz
    rank_two_tensor = stress
    index_j = 2
    index_i = 2
    execute_on = timestep_end
  [../]
  [./pk2]
   type = RankTwoAux
   variable = pk2
   rank_two_tensor = pk2
   index_j = 2
   index_i = 2
   execute_on = timestep_end
  [../]
  [./fp_zz]
    type = RankTwoAux
    variable = fp_zz
    rank_two_tensor = fp
    index_j = 2
    index_i = 2
    execute_on = timestep_end
  [../]
  [./e_zz]
    type = RankTwoAux
    variable = e_zz
    rank_two_tensor = lage
    index_j = 2
    index_i = 2
    execute_on = timestep_end
  [../]
  [./gss]
    type = MaterialStdVectorAux
    variable = gss
    property = state_var_gss
    index = 0
    execute_on = timestep_end
  [../]
  [./slip_inc]
   type = MaterialStdVectorAux
   variable = slip_increment
   property = slip_rate_gss
   index = 0
   execute_on = timestep_end
  [../]
[]

[BCs]
  [./symmy]
    type = DirichletBC
    variable = uy
    boundary = bottom
    value = 0
  [../]
  [./symmx]
    type = DirichletBC
    variable = ux
    boundary = left
    value = 0
  [../]
  [./symmz]
    type = DirichletBC
    variable = uz
    boundary = back
    value = 0
  [../]
  [./tdisp]
    type = FunctionDirichletBC
    variable = uz
    boundary = front
    function = tdisp
  [../]
[]

[UserObjects]
  [./slip_rate_gss]
    type = CrystalPlasticitySlipRateGSS
    variable_size = 12
    slip_sys_file_name = input_slip_sys.txt
    num_slip_sys_flowrate_props = 2
    flowprops = '1 4 0.001 0.1 5 8 0.001 0.1 9 12 0.001 0.1'
    uo_state_var_name = state_var_gss
  [../]
  [./slip_resistance_gss]
    type = CrystalPlasticitySlipResistanceGSS
    variable_size = 12
    uo_state_var_name = state_var_gss
  [../]
  [./state_var_gss]
    type = CrystalPlasticityStateVariable
    variable_size = 12
    groups = '0 4 8 12'
    group_values = '60.8 60.8 60.8'
    uo_state_var_evol_rate_comp_name = state_var_evol_rate_comp_gss
    scale_factor = 1.0
  [../]
  [./state_var_evol_rate_comp_gss]
    type = CrystalPlasticityStateVarRateComponentGSS
    variable_size = 12
    hprops = '1.0 541.5 109.8 2.5'
    uo_slip_rate_name = slip_rate_gss
    uo_state_var_name = state_var_gss
  [../]
[]

[Materials]
  [./crysp]
    type = FiniteStrainUObasedCP
    block = 0
    stol = 1e-2
    tan_mod_type = exact
    uo_slip_rates = 'slip_rate_gss'
    uo_slip_resistances = 'slip_resistance_gss'
    uo_state_vars = 'state_var_gss'
    uo_state_var_evol_rate_comps = 'state_var_evol_rate_comp_gss'
  [../]
  [./strain]
    type = ComputeFiniteStrain
    block = 0
    displacements = 'ux uy uz'
  [../]
  [./elasticity_tensor]
    type = ComputeElasticityTensorCP
    block = 0
    C_ijkl = '1.684e5 1.214e5 1.214e5 1.684e5 1.214e5 1.684e5 0.754e5 0.754e5 0.754e5'
    fill_method = symmetric9
  [../]
[]

[Postprocessors]
  [./stress_zz]
    type = ElementAverageValue
    variable = stress_zz
  [../]
  [./pk2]
   type = ElementAverageValue
   variable = pk2
  [../]
  [./fp_zz]
    type = ElementAverageValue
    variable = fp_zz
  [../]
  [./e_zz]
    type = ElementAverageValue
    variable = e_zz
  [../]
  [./gss]
    type = ElementAverageValue
    variable = gss
  [../]
  [./slip_increment]
   type = ElementAverageValue
   variable = slip_increment
  [../]
[]

[Preconditioning]
  [./smp]
    type = SMP
    full = true
  [../]
[]

[Executioner]
  type = Transient
  dt = 0.05
  solve_type = 'PJFNK'

  petsc_options_iname = -pc_hypre_type
  petsc_options_value = boomerang
  nl_abs_tol = 1e-10
  nl_rel_step_tol = 1e-10
  dtmax = 10.0
  nl_rel_tol = 1e-10
  end_time = 1
  dtmin = 0.01
  num_steps = 10
  nl_abs_step_tol = 1e-10
[]

[Outputs]
  exodus = true
[]

(modules/solid_mechanics/test/tests/mohr_coulomb/planar_hard4.i)

# apply repeated stretches in x direction, and smaller stretches along the y and z directions,
# so that sigma_II = sigma_III,
# which means that lode angle = -30deg.
# Both return to the edge (at lode_angle=-30deg, ie 000101) and tip are experienced.
#
# It is checked that the yield functions are less than their tolerance values
# It is checked that the cohesion hardens correctly

[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]


[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
[]

[Kernels]
  [SolidMechanics]
    displacements = 'disp_x disp_y disp_z'
  [../]
[]


[BCs]
  [./x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'front back'
    function = '0.05E-6*x*t'
  [../]
  [./y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'front back'
    function = '0.05E-6*y*t'
  [../]
  [./z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'front back'
    function = '1E-6*z*t'
  [../]
[]

[Functions]
  [./should_be_zero_fcn]
    type = ParsedFunction
    expression = 'if((a<1E-5)&(b<1E-5)&(c<1E-5)&(d<1E-5)&(g<1E-5)&(h<1E-5),0,abs(a)+abs(b)+abs(c)+abs(d)+abs(g)+abs(h))'
    symbol_names = 'a b c d g h'
    symbol_values = 'f0 f1 f2 f3 f4 f5'
  [../]
  [./coh_analytic]
    type = ParsedFunction
    expression = '20-10*exp(-1E5*intnl)'
    symbol_names = intnl
    symbol_values = internal
  [../]
  [./coh_from_yieldfcns]
    type = ParsedFunction
    expression = '(f0+f1-(sxx+syy)*sin(phi))/(-2)/cos(phi)'
    symbol_names = 'f0 f1 sxx syy phi'
    symbol_values = 'f0 f1 s_xx s_yy 0.8726646'
  [../]
  [./should_be_zero_coh]
    type = ParsedFunction
    expression = 'if(abs(a-b)<1E-6,0,1E6*abs(a-b))'
    symbol_names = 'a b'
    symbol_values = 'Coh_analytic Coh_moose'
  [../]
[]

[AuxVariables]
  [./stress_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./mc_int]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./yield_fcn0]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./yield_fcn1]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./yield_fcn2]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./yield_fcn3]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./yield_fcn4]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./yield_fcn5]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]

[AuxKernels]
  [./stress_xx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xx
    index_i = 0
    index_j = 0
  [../]
  [./stress_xy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xy
    index_i = 0
    index_j = 1
  [../]
  [./stress_xz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xz
    index_i = 0
    index_j = 2
  [../]
  [./stress_yy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yy
    index_i = 1
    index_j = 1
  [../]
  [./stress_yz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yz
    index_i = 1
    index_j = 2
  [../]
  [./stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zz
    index_i = 2
    index_j = 2
  [../]
  [./mc_int_auxk]
    type = MaterialStdVectorAux
    index = 0
    property = plastic_internal_parameter
    variable = mc_int
  [../]
  [./yield_fcn0]
    type = MaterialStdVectorAux
    index = 0
    property = plastic_yield_function
    variable = yield_fcn0
  [../]
  [./yield_fcn1]
    type = MaterialStdVectorAux
    index = 1
    property = plastic_yield_function
    variable = yield_fcn1
  [../]
  [./yield_fcn2]
    type = MaterialStdVectorAux
    index = 2
    property = plastic_yield_function
    variable = yield_fcn2
  [../]
  [./yield_fcn3]
    type = MaterialStdVectorAux
    index = 3
    property = plastic_yield_function
    variable = yield_fcn3
  [../]
  [./yield_fcn4]
    type = MaterialStdVectorAux
    index = 4
    property = plastic_yield_function
    variable = yield_fcn4
  [../]
  [./yield_fcn5]
    type = MaterialStdVectorAux
    index = 5
    property = plastic_yield_function
    variable = yield_fcn5
  [../]
[]

[Postprocessors]
  [./s_xx]
    type = PointValue
    point = '0 0 0'
    variable = stress_xx
  [../]
  [./s_xy]
    type = PointValue
    point = '0 0 0'
    variable = stress_xy
  [../]
  [./s_xz]
    type = PointValue
    point = '0 0 0'
    variable = stress_xz
  [../]
  [./s_yy]
    type = PointValue
    point = '0 0 0'
    variable = stress_yy
  [../]
  [./s_yz]
    type = PointValue
    point = '0 0 0'
    variable = stress_yz
  [../]
  [./s_zz]
    type = PointValue
    point = '0 0 0'
    variable = stress_zz
  [../]
  [./internal]
    type = PointValue
    point = '0 0 0'
    variable = mc_int
  [../]
  [./f0]
    type = PointValue
    point = '0 0 0'
    variable = yield_fcn0
  [../]
  [./f1]
    type = PointValue
    point = '0 0 0'
    variable = yield_fcn1
  [../]
  [./f2]
    type = PointValue
    point = '0 0 0'
    variable = yield_fcn2
  [../]
  [./f3]
    type = PointValue
    point = '0 0 0'
    variable = yield_fcn3
  [../]
  [./f4]
    type = PointValue
    point = '0 0 0'
    variable = yield_fcn4
  [../]
  [./f5]
   type = PointValue
    point = '0 0 0'
    variable = yield_fcn5
  [../]
  [./yfcns_should_be_zero]
    type = FunctionValuePostprocessor
    function = should_be_zero_fcn
  [../]
  [./Coh_analytic]
    type = FunctionValuePostprocessor
    function = coh_analytic
  [../]
  [./Coh_moose]
    type = FunctionValuePostprocessor
    function = coh_from_yieldfcns
  [../]
  [./cohesion_difference_should_be_zero]
    type = FunctionValuePostprocessor
    function = should_be_zero_coh
  [../]
[]

[UserObjects]
  [./mc_coh]
    type = SolidMechanicsHardeningExponential
    value_0 = 10
    value_residual = 20
    rate = 1E5
  [../]
  [./mc_phi]
    type = SolidMechanicsHardeningConstant
    value = 0.8726646
  [../]
  [./mc_psi]
    type = SolidMechanicsHardeningConstant
    value = 1 #0.8726646 # 50deg
  [../]
  [./mc]
    type = SolidMechanicsPlasticMohrCoulombMulti
    cohesion = mc_coh
    friction_angle = mc_phi
    dilation_angle = mc_psi
    use_custom_returnMap = true
    yield_function_tolerance = 1E-5
    internal_constraint_tolerance = 1E-9
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    block = 0
    fill_method = symmetric_isotropic
    C_ijkl = '0 1E7'
  [../]
  [./strain]
    type = ComputeFiniteStrain
    block = 0
    displacements = 'disp_x disp_y disp_z'
  [../]
  [./mc]
    type = ComputeMultiPlasticityStress
    block = 0
    ep_plastic_tolerance = 1E-12
    plastic_models = mc
  [../]
[]


[Executioner]
  end_time = 10
  dt = 2
  type = Transient
[]


[Outputs]
  file_base = planar_hard4
  exodus = false
  [./csv]
    type = CSV
    hide = 'f0 f1 f2 f3 f4 f5 s_xy s_xz s_yz Coh_analytic Coh_moose'
    execute_on = 'timestep_end'
  [../]
[]

(test/tests/postprocessors/pps_interval/pps_interval_mismatch.i)

[Mesh]
  file = square-2x2-nodeids.e
  # This test can only be run with renumering disabled, so the
  # NodalVariableValue postprocessor's node id is well-defined.
  allow_renumbering = false
[]

[Variables]
  active = 'u v'

  [./u]
    order = SECOND
    family = LAGRANGE
  [../]

  [./v]
    order = SECOND
    family = LAGRANGE
  [../]
[]

[Functions]
  active = 'force_fn exact_fn left_bc'

  [./force_fn]
    type = ParsedFunction
    expression = '1-x*x+2*t'
  [../]

  [./exact_fn]
    type = ParsedFunction
    expression = '(1-x*x)*t'
  [../]

  [./left_bc]
    type = ParsedFunction
    expression = t
  [../]
[]

[Kernels]
  active = '
    time_u diff_u ffn_u
    time_v diff_v'

  [./time_u]
    type = TimeDerivative
    variable = u
  [../]

  [./diff_u]
    type = Diffusion
    variable = u
  [../]

  [./ffn_u]
    type = BodyForce
    variable = u
    function = force_fn
  [../]

  [./time_v]
    type = TimeDerivative
    variable = v
  [../]

  [./diff_v]
    type = Diffusion
    variable = v
  [../]
[]

[BCs]
  active = 'all_u left_v right_v'

  [./all_u]
    type = FunctionDirichletBC
    variable = u
    boundary = '1'
    function = exact_fn
  [../]

  [./left_v]
    type = FunctionDirichletBC
    variable = v
    boundary = '3'
    function = left_bc
  [../]

  [./right_v]
    type = DirichletBC
    variable = v
    boundary = '2'
    value = 0
  [../]
[]

[Postprocessors]
  active = 'l2 node1 node4'

  [./l2]
    type = ElementL2Error
    variable = u
    function = exact_fn
  [../]

  [./node1]
    type = NodalVariableValue
    variable = u
    nodeid = 15
  [../]

  [./node4]
    type = NodalVariableValue
    variable = v
    nodeid = 10
  [../]
[]

[Executioner]
  type = Transient

  solve_type = 'PJFNK'

  dt = 0.1
  start_time = 0
  end_time = 1
[]

[Outputs]
  time_step_interval = 4
  exodus = true
  [./console]
    type = Console
    time_step_interval = 3
  [../]
[]

(modules/contact/examples/2d_indenter/indenter_rz_fine.i)

[GlobalParams]
  volumetric_locking_correction = true
  displacements = 'disp_x disp_y'
[]

[Problem]
  coord_type = RZ
  type = ReferenceResidualProblem
  reference_vector = 'ref'
  extra_tag_vectors = 'ref'
[]

[Mesh]
  patch_update_strategy = auto
  patch_size = 2
  partitioner = centroid
  centroid_partitioner_direction = y

  [simple_mesh]
    type = FileMeshGenerator
    file = indenter_rz_fine_bigsideset.e
  []
  # For NodalVariableValue to work with distributed mesh
  allow_renumbering = false
[]

[Functions]
  [disp_y]
    type = PiecewiseLinear
    x = '0.  1.0     2.0    2.6   3.0'
    y = '0.  -4.5   -5.7   -5.7  -4.0'
  []
[]

[Variables]
  [disp_x]
    order = FIRST
    family = LAGRANGE
    block = '1 2'
  []

  [disp_y]
    order = FIRST
    family = LAGRANGE
    block = '1 2'
  []
[]

[AuxVariables]
  [saved_x]
  []
  [saved_y]
  []
[]

[Physics/SolidMechanics/QuasiStatic]
  [all]
    strain = FINITE
    block = '1 2'
    use_automatic_differentiation = false
    generate_output = 'stress_xx stress_xy stress_xz stress_yy stress_zz'
    save_in = 'saved_x saved_y'
  []
[]

[BCs]
  # Symmetries of the Problem
  [symm_x_indenter]
    type = DirichletBC
    variable = disp_x
    boundary = 5
    value = 0.0
  []

  [symm_x_material]
    type = DirichletBC
    variable = disp_x
    boundary = 9
    value = 0.0
  []

  # Material should not fly away
  [material_base_y]
    type = DirichletBC
    variable = disp_y
    boundary = 8
    value = 0.0
  []

  # Drive indenter motion
  [disp_y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 1
    function = disp_y
  []
[]

[Contact]
  [contact]
    secondary = 4
    primary = 6
    model = frictionless
    # Investigate von Mises stress at the edge
    correct_edge_dropping = true
    formulation = mortar
    c_normal = 1e+2
  []
[]

[UserObjects]
  [slip_rate_gss]
    type = CrystalPlasticitySlipRateGSS
    variable_size = 48
    slip_sys_file_name = input_slip_sys_bcc48.txt
    num_slip_sys_flowrate_props = 2
    flowprops = '1 48 0.0001 0.01'
    uo_state_var_name = state_var_gss
    slip_incr_tol = 10.0
    block = 2
  []
  [slip_resistance_gss]
    type = CrystalPlasticitySlipResistanceGSS
    variable_size = 48
    uo_state_var_name = state_var_gss
    block = 2
  []
  [state_var_gss]
    type = CrystalPlasticityStateVariable
    variable_size = 48
    groups = '0 24 48'
    group_values = '900 1000' #120
    uo_state_var_evol_rate_comp_name = state_var_evol_rate_comp_gss
    scale_factor = 1.0
    block = 2
  []
  [state_var_evol_rate_comp_gss]
    type = CrystalPlasticityStateVarRateComponentGSS
    variable_size = 48
    hprops = '1.4 1000 1200 2.5'
    uo_slip_rate_name = slip_rate_gss
    uo_state_var_name = state_var_gss
    block = 2
  []
[]

[Materials]
  [tensor]
    type = ComputeIsotropicElasticityTensor
    block = '1'
    youngs_modulus = 1.0e7
    poissons_ratio = 0.25
  []
  [stress]
    type = ComputeFiniteStrainElasticStress
    block = '1'
  []

  [crysp]
    type = FiniteStrainUObasedCP
    block = 2
    stol = 1e-2
    tan_mod_type = exact
    uo_slip_rates = 'slip_rate_gss'
    uo_slip_resistances = 'slip_resistance_gss'
    uo_state_vars = 'state_var_gss'
    uo_state_var_evol_rate_comps = 'state_var_evol_rate_comp_gss'
    maximum_substep_iteration = 20
  []
  [elasticity_tensor]
    type = ComputeElasticityTensorCP
    block = 2
    C_ijkl = '265190 113650 113650 265190 113650 265190 75769 75769 75760'
    fill_method = symmetric9
  []
[]

[Preconditioning]
  [SMP]
    type = SMP
    full = true
  []
[]

[Executioner]
  type = Transient
  solve_type = 'PJFNK'
  petsc_options = '-snes_ksp_ew'

  petsc_options_iname = '-pc_type -snes_linesearch_type -pc_factor_shift_type '
                        '-pc_factor_shift_amount'
  petsc_options_value = 'lu       basic                 NONZERO               1e-15'
  line_search = 'none'
  automatic_scaling = true
  nl_abs_tol = 2.0e-07
  nl_rel_tol = 2.0e-07
  l_max_its = 40
  l_abs_tol = 1e-08
  l_tol = 1e-08
  start_time = 0.0
  dt = 0.01
  end_time = 3.0 # Executioner
[]

[Postprocessors]
  [maxdisp]
    type = NodalVariableValue
    nodeid = 39
    variable = disp_y
  []
  [resid_y]
    type = NodalSum
    variable = saved_y
    boundary = 1
  []
[]

[Outputs]
  [out]
    type = Exodus
    elemental_as_nodal = true
  []
  perf_graph = true
  csv = true
[]

(modules/solid_mechanics/test/tests/capped_weak_plane/small_deform_inclined5.i)

# Plastic deformation, shear failure, with inclined normal direction = (1, 0, 0)
# With Young = 10, poisson=0.25 (Lame lambda=4, mu=4)
# applying the following
# deformation to the xmax surface of a unit cube:
# disp_x = 5*t/6
# disp_y = 6*t
# disp_z = 8*t
# should yield trial stress:
# stress_xx = 10*t
# stress_xz = 32*t
# stress_xy = 24*t (so q_trial = 40*t)
# Use tan(friction_angle) = 0.5 and tan(dilation_angle) = 1/6, and cohesion=20,
# the system should return to p=0, q=20, ie stress_xx=0, stress_zx=16,
# stress_yx=12 on the first time step (t=1)
[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]


[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]

[Physics/SolidMechanics/QuasiStatic]
  [./all]
    add_variables = true
    incremental = true
    generate_output = 'stress_xx stress_xy stress_xz stress_yy stress_yz stress_zz plastic_strain_xx plastic_strain_xy plastic_strain_xz plastic_strain_yy plastic_strain_yz plastic_strain_zz strain_xx strain_xy strain_xz strain_yy strain_yz strain_zz'
  [../]
[]

[BCs]
  [./bottomx]
    type = DirichletBC
    variable = disp_x
    boundary = left
    value = 0.0
  [../]
  [./bottomy]
    type = DirichletBC
    variable = disp_y
    boundary = left
    value = 0.0
  [../]
  [./bottomz]
    type = DirichletBC
    variable = disp_z
    boundary = left
    value = 0.0
  [../]

  [./topx]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = right
    function = 5*t/6
  [../]
  [./topy]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = right
    function = 6*t
  [../]
  [./topz]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = right
    function = 8*t
  [../]
[]

[AuxVariables]
  [./f_shear]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f_tensile]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f_compressive]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./intnl_shear]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./intnl_tensile]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./iter]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./ls]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]

[AuxKernels]
  [./f_shear]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 0
    variable = f_shear
  [../]
  [./f_tensile]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 1
    variable = f_tensile
  [../]
  [./f_compressive]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 2
    variable = f_compressive
  [../]
  [./intnl_shear]
    type = MaterialStdVectorAux
    property = plastic_internal_parameter
    index = 0
    variable = intnl_shear
  [../]
  [./intnl_tensile]
    type = MaterialStdVectorAux
    property = plastic_internal_parameter
    index = 1
    variable = intnl_tensile
  [../]
  [./iter]
    type = MaterialRealAux
    property = plastic_NR_iterations
    variable = iter
  [../]
  [./ls]
    type = MaterialRealAux
    property = plastic_linesearch_needed
    variable = ls
  [../]
[]

[Postprocessors]
  [./stress_xx]
    type = PointValue
    point = '0 0 0'
    variable = stress_xx
  [../]
  [./stress_xy]
    type = PointValue
    point = '0 0 0'
    variable = stress_xy
  [../]
  [./stress_xz]
    type = PointValue
    point = '0 0 0'
    variable = stress_xz
  [../]
  [./stress_yy]
    type = PointValue
    point = '0 0 0'
    variable = stress_yy
  [../]
  [./stress_yz]
    type = PointValue
    point = '0 0 0'
    variable = stress_yz
  [../]
  [./stress_zz]
    type = PointValue
    point = '0 0 0'
    variable = stress_zz
  [../]
  [./strainp_xx]
    type = PointValue
    point = '0 0 0'
    variable = plastic_strain_xx
  [../]
  [./strainp_xy]
    type = PointValue
    point = '0 0 0'
    variable = plastic_strain_xy
  [../]
  [./strainp_xz]
    type = PointValue
    point = '0 0 0'
    variable = plastic_strain_xz
  [../]
  [./strainp_yy]
    type = PointValue
    point = '0 0 0'
    variable = plastic_strain_yy
  [../]
  [./strainp_yz]
    type = PointValue
    point = '0 0 0'
    variable = plastic_strain_yz
  [../]
  [./strainp_zz]
    type = PointValue
    point = '0 0 0'
    variable = plastic_strain_zz
  [../]
  [./straint_xx]
    type = PointValue
    point = '0 0 0'
    variable = strain_xx
  [../]
  [./straint_xy]
    type = PointValue
    point = '0 0 0'
    variable = strain_xy
  [../]
  [./straint_xz]
    type = PointValue
    point = '0 0 0'
    variable = strain_xz
  [../]
  [./straint_yy]
    type = PointValue
    point = '0 0 0'
    variable = strain_yy
  [../]
  [./straint_yz]
    type = PointValue
    point = '0 0 0'
    variable = strain_yz
  [../]
  [./straint_zz]
    type = PointValue
    point = '0 0 0'
    variable = strain_zz
  [../]
  [./f_shear]
    type = PointValue
    point = '0 0 0'
    variable = f_shear
  [../]
  [./f_tensile]
    type = PointValue
    point = '0 0 0'
    variable = f_tensile
  [../]
  [./f_compressive]
    type = PointValue
    point = '0 0 0'
    variable = f_compressive
  [../]
  [./intnl_shear]
    type = PointValue
    point = '0 0 0'
    variable = intnl_shear
  [../]
  [./intnl_tensile]
    type = PointValue
    point = '0 0 0'
    variable = intnl_tensile
  [../]
  [./iter]
    type = PointValue
    point = '0 0 0'
    variable = iter
  [../]
  [./ls]
    type = PointValue
    point = '0 0 0'
    variable = ls
  [../]
[]


[UserObjects]
  [./coh]
    type = SolidMechanicsHardeningConstant
    value = 20
  [../]
  [./tanphi]
    type = SolidMechanicsHardeningConstant
    value = 0.5
  [../]
  [./tanpsi]
    type = SolidMechanicsHardeningConstant
    value = 0.166666666667
  [../]
  [./t_strength]
    type = SolidMechanicsHardeningConstant
    value = 100
  [../]
  [./c_strength]
    type = SolidMechanicsHardeningConstant
    value = 100
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    fill_method = symmetric_isotropic
    C_ijkl = '4 4'
  [../]
  [./admissible]
    type = ComputeMultipleInelasticStress
    inelastic_models = stress
    perform_finite_strain_rotations = false
  [../]
  [./stress]
    type = CappedWeakInclinedPlaneStressUpdate
    normal_vector = '1 0 0'
    cohesion = coh
    tan_friction_angle = tanphi
    tan_dilation_angle = tanpsi
    tensile_strength = t_strength
    compressive_strength = c_strength
    tip_smoother = 0
    smoothing_tol = 0
    yield_function_tol = 1E-5
  [../]
[]

[Executioner]
  end_time = 1
  dt = 1
  type = Transient
[]

[Outputs]
  file_base = small_deform_inclined5
  csv = true
[]

(modules/solid_mechanics/test/tests/recompute_radial_return/cp_affine_plasticity.i)

# Affine Plasticity Test for Transient Stress Eigenvalues with Stationary Eigenvectors

# This test is taken from K. Jamojjala, R. Brannon, A. Sadeghirad, J. Guilkey,
#  "Verification tests in solid mechanics," Engineering with Computers, Vol 31.,
#  p. 193-213.

# The test involves applying particular strains and expecting particular stresses.

# The material properties are:
#  Yield in shear     165 MPa
#  Shear modulus       79 GPa
#  Poisson's ratio    1/3

# The strains are:
#  Time        e11        e22        e33
#  0             0          0          0
#  1        -0.003     -0.003      0.006
#  2    -0.0103923          0  0.0103923

# The expected stresses are:
#  sigma11:
#   -474*t                             0 < t <= 0.201
#   -95.26                             0.201 < t <= 1
#   (189.4+0.1704*sqrt(a)-0.003242*a)
#   ---------------------------------  1 < t <= 2
#            1+0.00001712*a
#   -189.4                             t > 2 (paper erroneously gives a positive value)
#
#  sigma22:
#   -474*t                             0 < t <= 0.201
#   -95.26                             0.201 < t <= 1
#   -(76.87+1.443*sqrt(a)-0.001316*a)
#   ---------------------------------  1 < t <= 2 (paper gives opposite sign)
#             1+0.00001712*a
#   76.87                              t > 2
#
#  sigma33:
#   948*t                              0 < t <= 0.201
#   190.5                              0.201 < t <= 1
#   -(112.5-1.272*sqrt(a)-0.001926*a)
#   ---------------------------------  1 < t <= 2 (paper has two sign errors here)
#            1+0.00001712*a
#   112.5                              t > 2
#
#  where a = exp(12.33*t).
#
# Note: If planning to run this case with strain type ComputeFiniteStrain, the
#   displacement function must be adjusted.  Instead of
#     strain = (l - l0)/l0 = (u+l0 - l0)/l0 = u/l0
#   with l0=1.0, we would have
#     strain = log(l/l0) = log((u+l0)/l0)
#   with l0=1.0.  So, for strain = -0.003,
#     -0.003 = log((u+l0)/l0) ->
#     u = exp(-0.003)*l0 - l0 = -0.0029955044966269995.
#


[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
  block = '0'
[]

[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  # This test uses ElementalVariableValue postprocessors on specific
  # elements, so element numbering needs to stay unchanged
  allow_renumbering = false
[]

[Functions]
  [disp_x]
    type = PiecewiseLinear
    x = '0.  1.     2.'
    y = '0. -0.003 -0.0103923'
  []
  [disp_y]
    type = PiecewiseLinear
    x = '0.  1.    2.'
    y = '0. -0.003 0.'
  []
  [disp_z]
    type = PiecewiseLinear
    x = '0. 1.    2.'
    y = '0. 0.006 0.0103923'
  []
  [stress_xx]
    type = ParsedFunction
    # The paper gives 0.201 as the time at initial yield, but 0.20097635952803425 is the exact value.
    # The paper gives -95.26 MPa as the stress at yield, but -95.26279441628823 is the exact value.
    # The paper gives 12.33 as the factor in the exponential, but 12.332921390339125 is the exact value.
    # 189.409039923814000, 0.170423791206825, -0.003242011311945, 1.711645501845780E-05 - exact values
    symbol_names = 'timeAtYield stressAtYield expFac a b c d'
    symbol_values = '0.20097635952803425 -95.26279441628823 12.332921390339125 189.409039923814000 0.170423791206825 -0.003242011311945 1.711645501845780E-05'
    value = '1e6*
             if(t<=timeAtYield, -474*t,
             if(t<=1, stressAtYield,
             (a+b*sqrt(exp(expFac*t))+c*exp(expFac*t))/(1.0+d*exp(expFac*t))))' # tends to -a
  []
  [stress_yy]
    type = ParsedFunction
    # The paper gives 0.201 as the time at initial yield, but 0.20097635952803425 is the exact value.
    # the paper gives -95.26 MPa as the stress at yield, but -95.26279441628823 is the exact value.
    # The paper gives 12.33 as the factor in the exponential, but 12.332921390339125 is the exact value.
    # -76.867432297315000, -1.442488120272900, 0.001315697947301, 1.711645501845780E-05 - exact values
    symbol_names = 'timeAtYield stressAtYield expFac a b c d'
    symbol_values = '0.20097635952803425 -95.26279441628823 12.332921390339125 -76.867432297315000 -1.442488120272900 0.001315697947301 1.711645501845780E-05'
    value = '1e6*
             if(t<=timeAtYield, -474*t,
             if(t<=1, stressAtYield,
             (a+b*sqrt(exp(expFac*t))+c*exp(expFac*t))/(1.0+d*exp(expFac*t))))' # tends to -a
  []
  [stress_zz]
    type = ParsedFunction
    # The paper gives 0.201 as the time at initial yield, but 0.20097635952803425 is the exact value.
    # the paper gives 190.5 MPa as the stress at yield, but 190.52558883257645 is the exact value.
    # The paper gives 12.33 as the factor in the exponential, but 12.332921390339125 is the exact value.
    # -112.541607626499000, 1.272064329066080, 0.001926313364644, 1.711645501845780E-05 - exact values
    symbol_names = 'timeAtYield stressAtYield expFac a b c d'
    symbol_values = '0.20097635952803425 190.52558883257645 12.332921390339125 -112.541607626499000 1.272064329066080 0.001926313364644 1.711645501845780E-05'
    value = '1e6*
             if(t<=timeAtYield, 948*t,
             if(t<=1, stressAtYield,
             (a+b*sqrt(exp(expFac*t))+c*exp(expFac*t))/(1.0+d*exp(expFac*t))))' # tends to -a
  []
[]

[Variables]
  [disp_x]
    order = FIRST
    family = LAGRANGE
  []
  [disp_y]
    order = FIRST
    family = LAGRANGE
  []
  [disp_z]
    order = FIRST
    family = LAGRANGE
  []
[]

[AuxVariables]
  [./stress_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./vonmises]
    order = CONSTANT
    family = MONOMIAL
  [../]

  [./plastic_strain_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./plastic_strain_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./plastic_strain_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]

[]

[Kernels]
  [SolidMechanics]
  [../]
[]

[AuxKernels]
  [./stress_xx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xx
    index_i = 0
    index_j = 0
    execute_on = 'timestep_end'
  [../]
  [./stress_yy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yy
    index_i = 1
    index_j = 1
    execute_on = 'timestep_end'
  [../]
  [./stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zz
    index_i = 2
    index_j = 2
    execute_on = 'timestep_end'
  [../]
  [./vonmises]
    type = RankTwoScalarAux
    rank_two_tensor = stress
    variable = vonmises
    scalar_type = vonmisesStress
    execute_on = 'timestep_end'
  [../]

  [./plastic_strain_xx]
    type = RankTwoAux
    rank_two_tensor = plastic_strain
    variable = plastic_strain_xx
    index_i = 0
    index_j = 0
    execute_on = 'timestep_end'
  [../]
  [./plastic_strain_yy]
    type = RankTwoAux
    rank_two_tensor = plastic_strain
    variable = plastic_strain_yy
    index_i = 1
    index_j = 1
    execute_on = 'timestep_end'
  [../]
  [./plastic_strain_zz]
    type = RankTwoAux
    rank_two_tensor = plastic_strain
    variable = plastic_strain_zz
    index_i = 2
    index_j = 2
    execute_on = 'timestep_end'
  [../]
[]

[BCs]
  [fixed_x]
    type = DirichletBC
    variable = disp_x
    boundary = left
    value = 0.0
  []
  [fixed_y]
    type = DirichletBC
    variable = disp_y
    boundary = bottom
    value = 0.0
  []
  [fixed_z]
    type = DirichletBC
    variable = disp_z
    boundary = back
    value = 0.0
  []

  [disp_x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = right
    function = disp_x
  []
  [disp_y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = top
    function = disp_y
  []
  [disp_z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = front
    function = disp_z
  []
[]

[Materials]
  [elasticity_tensor]
    type = ComputeIsotropicElasticityTensor
    youngs_modulus = 210666666666.666667
    poissons_ratio = 0.3333333333333333
  [../]

  [./strain]
    type = ComputeIncrementalStrain
  [../]

  [creep]
    type = PowerLawCreepStressUpdate
    coefficient = 0
    n_exponent = 1
    m_exponent = 1
    activation_energy = 0
    temperature = 1
  []
  [isotropic_plasticity]
    type = IsotropicPlasticityStressUpdate
    yield_stress = 285788383.2488647 # = sqrt(3)*165e6 = sqrt(3) * yield in shear
    hardening_constant = 0.0
  []
  [radial_return_stress]
    type = ComputeCreepPlasticityStress
    tangent_operator = elastic
    creep_model = creep
    plasticity_model = isotropic_plasticity
  []
[]

[Executioner]

  type = Transient

  solve_type = 'PJFNK'
  petsc_options = '-snes_ksp_ew'
  petsc_options_iname = '-pc_type'
  petsc_options_value = 'lu'

  nl_abs_tol = 1e-10

  l_max_its = 20

  start_time = 0.0
  dt = 0.01 # use 0.0001 for a nearly exact match
  end_time = 2.0
[]

[Postprocessors]
  [analytic_xx]
    type = FunctionValuePostprocessor
    function = stress_xx
  []
  [analytic_yy]
    type = FunctionValuePostprocessor
    function = stress_yy
  []
  [analytic_zz]
    type = FunctionValuePostprocessor
    function = stress_zz
  []

  [stress_xx]
    type = ElementalVariableValue
    variable = stress_xx
    elementid = 0
  []
  [stress_yy]
    type = ElementalVariableValue
    variable = stress_yy
    elementid = 0
  []
  [stress_zz]
    type = ElementalVariableValue
    variable = stress_zz
    elementid = 0
  []

  [stress_xx_l2_error]
    type = ElementL2Error
    variable = stress_xx
    function = stress_xx
  []
  [stress_yy_l2_error]
    type = ElementL2Error
    variable = stress_yy
    function = stress_yy
  []
  [stress_zz_l2_error]
    type = ElementL2Error
    variable = stress_zz
    function = stress_zz
  []
[]

[Outputs]
  exodus = true
[]

(modules/contact/test/tests/verification/patch_tests/single_pnt_2d/single_point_2d.i)

[GlobalParams]
  volumetric_locking_correction = true
  displacements = 'disp_x disp_y'
[]

[Mesh]
  file = single_point_2d.e
[]

[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
[]

[AuxVariables]
  [./penetration]
  [../]
  [./saved_x]
  [../]
  [./saved_y]
  [../]
  [./diag_saved_x]
  [../]
  [./diag_saved_y]
  [../]
  [./inc_slip_x]
  [../]
  [./inc_slip_y]
  [../]
  [./accum_slip_x]
  [../]
  [./accum_slip_y]
  [../]
[]

[Functions]
  [./appl_disp]
    type = PiecewiseLinear
    x = '0 0.001  0.101'
    y = '0 0.0   -0.10'
  [../]
[]

[Kernels]
  [./TensorMechanics]
    use_displaced_mesh = true
    save_in = 'saved_x saved_y'
  [../]
[]

[AuxKernels]
  [./incslip_x]
    type = PenetrationAux
    variable = inc_slip_x
    quantity = incremental_slip_x
    boundary = 3
    paired_boundary = 2
  [../]
  [./incslip_y]
    type = PenetrationAux
    variable = inc_slip_y
    quantity = incremental_slip_y
    boundary = 3
    paired_boundary = 2
  [../]
  [./accum_slip_x]
    type = AccumulateAux
    variable = accum_slip_x
    accumulate_from_variable = inc_slip_x
    execute_on = timestep_end
  [../]
  [./accum_slip_y]
    type = AccumulateAux
    variable = accum_slip_y
    accumulate_from_variable = inc_slip_y
    execute_on = timestep_end
  [../]
  [./penetration]
    type = PenetrationAux
    variable = penetration
    boundary = 3
    paired_boundary = 2
  [../]
[]

[BCs]
  [./botx]
    type = DirichletBC
    variable = disp_x
    boundary = 1
    value = 0.0
  [../]
  [./boty]
    type = DirichletBC
    variable = disp_y
    boundary = 1
    value = 0.0
  [../]
  [./topx]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 4
    function = appl_disp
  [../]
  [./topy]
    type = DirichletBC
    variable = disp_y
    boundary = 4
    value = -0.002001
  [../]
[]

[Materials]
  [./bot_elas_tens]
    type = ComputeIsotropicElasticityTensor
    block = '1'
    youngs_modulus = 1e9
    poissons_ratio = 0.3
  [../]
  [./bot_strain]
    type = ComputePlaneFiniteStrain
    block = '1'
  [../]
  [./bot_stress]
    type = ComputeFiniteStrainElasticStress
    block = '1'
  [../]
  [./top_elas_tens]
    type = ComputeIsotropicElasticityTensor
    block = '2'
    youngs_modulus = 1e6
    poissons_ratio = 0.3
  [../]
  [./top_strain]
    type = ComputePlaneFiniteStrain
    block = '2'
  [../]
  [./top_stress]
    type = ComputeFiniteStrainElasticStress
    block = '2'
  [../]
[]

[Postprocessors]
  [./bot_react_x]
    type = NodalSum
    variable = saved_x
    boundary = 1
  [../]
  [./bot_react_y]
    type = NodalSum
    variable = saved_y
    boundary = 1
  [../]
  [./top_react_x]
    type = NodalSum
    variable = saved_x
    boundary = 4
  [../]
  [./top_react_y]
    type = NodalSum
    variable = saved_y
    boundary = 4
  [../]
  [./disp_x]
    type = NodalVariableValue
    nodeid = 5
    variable = disp_x
  [../]
  [./disp_y]
    type = NodalVariableValue
    nodeid = 5
    variable = disp_y
  [../]
  [./inc_slip_x]
    type = NodalVariableValue
    nodeid = 5
    variable = inc_slip_x
  [../]
  [./inc_slip_y]
    type = NodalVariableValue
    nodeid = 5
    variable = inc_slip_y
  [../]
  [./accum_slip_x]
    type = NodalVariableValue
    nodeid = 5
    variable = accum_slip_x
  [../]
  [./accum_slip_y]
    type = NodalVariableValue
    nodeid = 5
    variable = accum_slip_y
  [../]
[]

[Executioner]
  type = Transient
  solve_type = 'PJFNK'

  petsc_options_iname = '-pc_type -pc_factor_mat_solver_type -mat_superlu_dist_iterrefine'
  petsc_options_value = 'lu    superlu_dist 1'

  line_search = 'none'

  l_max_its = 100
  nl_max_its = 200
  dt = 0.001
  end_time = 0.001
  num_steps = 10000
  nl_rel_tol = 1e-6
  nl_abs_tol = 1e-8
  dtmin = 0.001
  l_tol = 1e-3
[]

[Outputs]
  file_base = single_point_2d_out_glued_kin
  print_linear_residuals = true
  perf_graph = true
  csv = true
  [./console]
    type = Console
    max_rows = 5
  [../]
[]

[Contact]
  [./leftright]
    primary = 2
    secondary = 3
    model = glued
    formulation = kinematic
    penalty = 1e12
    normalize_penalty = true
    tangential_tolerance = 1e-3
  [../]
[]

(modules/contact/test/tests/sliding_block/in_and_out/frictionless_kinematic.i)

#  This is a benchmark test that checks constraint based frictionless
#  contact using the kinematic method.  In this test a sinusoidal
#  displacement is applied in the horizontal direction to simulate
#  a small block come in and out of contact as it slides down a larger block.
#
#  The sinusoid is of the form 0.4sin(4t)+0.2. The gold file is run
#  on one processor and the benchmark
#  case is run on a minimum of 4 processors to ensure no parallel variability
#  in the contact pressure and penetration results.  Further documentation can
#  found in moose/modules/contact/doc/sliding_block/
#

[Mesh]
  file = sliding_elastic_blocks_2d.e
  patch_size = 80
[]

[GlobalParams]
  volumetric_locking_correction = false
  displacements = 'disp_x disp_y'
[]

[AuxVariables]
  [./penetration]
  [../]
  [./inc_slip_x]
  [../]
  [./inc_slip_y]
  [../]
  [./accum_slip_x]
  [../]
  [./accum_slip_y]
  [../]
[]

[Functions]
  [./vertical_movement]
    type = ParsedFunction
    expression = -t
  [../]
  [./horizontal_movement]
    type = ParsedFunction
    expression = -0.04*sin(4*t)+0.02
  [../]
[]

[Physics/SolidMechanics/QuasiStatic]
  [./all]
    add_variables = true
    strain = FINITE
  [../]
[]

[AuxKernels]
  [./zeroslip_x]
    type = ConstantAux
    variable = inc_slip_x
    boundary = 3
    execute_on = timestep_begin
    value = 0.0
  [../]
  [./zeroslip_y]
    type = ConstantAux
    variable = inc_slip_y
    boundary = 3
    execute_on = timestep_begin
    value = 0.0
  [../]
  [./accum_slip_x]
    type = AccumulateAux
    variable = accum_slip_x
    accumulate_from_variable = inc_slip_x
    execute_on = timestep_end
  [../]
  [./accum_slip_y]
    type = AccumulateAux
    variable = accum_slip_y
    accumulate_from_variable = inc_slip_y
    execute_on = timestep_end
  [../]
  [./penetration]
    type = PenetrationAux
    variable = penetration
    boundary = 3
    paired_boundary = 2
  [../]
[]

[Postprocessors]
  [./nonlinear_its]
    type = NumNonlinearIterations
    execute_on = timestep_end
  [../]
  [./penetration]
    type = NodalVariableValue
    variable = penetration
    nodeid = 222
  [../]
  [./contact_pressure]
    type = NodalVariableValue
    variable = contact_pressure
    nodeid = 222
  [../]
[]

[BCs]
  [./left_x]
    type = DirichletBC
    variable = disp_x
    boundary = 1
    value = 0.0
  [../]
  [./left_y]
    type = DirichletBC
    variable = disp_y
    boundary = 1
    value = 0.0
  [../]
  [./right_x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 4
    function = horizontal_movement
  [../]
  [./right_y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 4
    function = vertical_movement
  [../]
[]

[Materials]
  [./left]
    type = ComputeIsotropicElasticityTensor
    block = '1 2'
    youngs_modulus = 1e6
    poissons_ratio = 0.3
    constant_on = SUBDOMAIN
  [../]
  [./stress]
    type = ComputeFiniteStrainElasticStress
    block = '1 2'
  [../]
[]

[Executioner]
  type = Transient
  solve_type = 'PJFNK'

  petsc_options = '-snes_ksp_ew'
  petsc_options_iname = '-pc_type -sub_pc_type -pc_asm_overlap -ksp_gmres_restart'
  petsc_options_value = 'asm     lu    20    101'

  line_search = 'none'

  l_max_its = 100
  nl_max_its = 1000
  dt = 0.1
  end_time = 15
  num_steps = 1000
  l_tol = 1e-6
  nl_rel_tol = 1e-10
  nl_abs_tol = 1e-6
  dtmin = 0.01

  [./Predictor]
    type = SimplePredictor
    scale = 1.0
  [../]
[]

[Outputs]
  time_step_interval = 10
  [./out]
    type = Exodus
    elemental_as_nodal = true
  [../]
  [./console]
    type = Console
    max_rows = 5
  [../]
[]

[Contact]
  [./leftright]
    secondary = 3
    primary = 2
    model = frictionless
    penalty = 1e+6
    normal_smoothing_distance = 0.1
  [../]
[]

(modules/solid_mechanics/test/tests/neml2/viscoplasticity/chaboche.i)

N = 2

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]

[Mesh]
  [gmg]
    type = GeneratedMeshGenerator
    dim = 3
    nx = ${N}
    ny = ${N}
    nz = ${N}
  []
[]

[Physics]
  [SolidMechanics]
    [QuasiStatic]
      [all]
        strain = SMALL
        new_system = true
        add_variables = true
        formulation = TOTAL
        volumetric_locking_correction = true
      []
    []
  []
[]

[NEML2]
  input = 'chaboche_neml2.i'
  [all]
    model = 'model'
    verbose = true
    device = 'cpu'

    moose_input_types = 'MATERIAL     MATERIAL     POSTPROCESSOR POSTPROCESSOR MATERIAL     MATERIAL                  MATERIAL              MATERIAL'
    moose_inputs = '     neml2_strain neml2_strain time          time          neml2_stress equivalent_plastic_strain back_stress_1         back_stress_2'
    neml2_inputs = '     forces/E     old_forces/E forces/t      old_forces/t  old_state/S  old_state/internal/ep     old_state/internal/X1 old_state/internal/X2'

    moose_output_types = 'MATERIAL     MATERIAL                  MATERIAL          MATERIAL'
    moose_outputs = '     neml2_stress equivalent_plastic_strain back_stress_1     back_stress_2'
    neml2_outputs = '     state/S      state/internal/ep         state/internal/X1 state/internal/X2'

    moose_derivative_types = 'MATERIAL'
    moose_derivatives = 'neml2_jacobian'
    neml2_derivatives = 'state/S forces/E'
  []
[]

[Postprocessors]
  [time]
    type = TimePostprocessor
    execute_on = 'INITIAL TIMESTEP_BEGIN'
  []
[]

[Materials]
  [convert_strain]
    type = RankTwoTensorToSymmetricRankTwoTensor
    from = 'mechanical_strain'
    to = 'neml2_strain'
  []
  [stress]
    type = ComputeLagrangianObjectiveCustomSymmetricStress
    custom_small_stress = 'neml2_stress'
    custom_small_jacobian = 'neml2_jacobian'
  []
[]

[BCs]
  [xfix]
    type = DirichletBC
    variable = disp_x
    boundary = left
    value = 0
  []
  [yfix]
    type = DirichletBC
    variable = disp_y
    boundary = bottom
    value = 0
  []
  [zfix]
    type = DirichletBC
    variable = disp_z
    boundary = back
    value = 0
  []
  [xdisp]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = right
    function = t
    preset = false
  []
[]

[Executioner]
  type = Transient
  solve_type = NEWTON
  petsc_options_iname = '-pc_type'
  petsc_options_value = 'lu'
  automatic_scaling = true
  dt = 1e-3
  dtmin = 1e-3
  num_steps = 5
  residual_and_jacobian_together = true
[]

[Outputs]
  exodus = true
[]

(modules/xfem/test/tests/moving_interface/cut_mesh_2d.i)

[GlobalParams]
  order = FIRST
  family = LAGRANGE
  displacements = 'disp_x disp_y'
[]

[XFEM]
  geometric_cut_userobjects = 'cut_mesh'
  qrule = volfrac
  output_cut_plane = true
[]

[Mesh]
  [gen]
    type = GeneratedMeshGenerator
    dim = 2
    nx = 11
    ny = 11
    xmin = 0.0
    xmax = 1.0
    ymin = 0.0
    ymax = 1.0
    elem_type = QUAD4
  []
  [block1]
    type = SubdomainBoundingBoxGenerator
    block_id = 1
    bottom_left = '0 0 0'
    top_right = '0.5 1 0'
    input = gen
  []
  [block2]
    type = SubdomainBoundingBoxGenerator
    block_id = 2
    bottom_left = '0.5 0 0'
    top_right = '1 1 0'
    input = block1
  []
[]

[AuxVariables]
  [u]
  []
[]

[UserObjects]
  [cut_mesh]
    type = InterfaceMeshCut2DUserObject
    mesh_file = circle_surface.e
    interface_velocity_function = vel_func
    heal_always = true
    block = 2
  []
[]

[Functions]
  [vel_func]
    type = ConstantFunction
    value = 0.011
  []
[]

[Physics/SolidMechanics/QuasiStatic]
  displacements = 'disp_x disp_y'
  [all]
    strain = SMALL
    add_variables = true
    incremental = false
    generate_output = 'stress_xx stress_yy stress_zz vonmises_stress'
    displacements = 'disp_x disp_y'
  []
[]

[Materials]
  [elasticity_tensor]
    type = ComputeIsotropicElasticityTensor
    youngs_modulus = 207000
    poissons_ratio = 0.3
  []
  [stress]
    type = ComputeLinearElasticStress
  []
[]

[AuxVariables]
  [ls]
  []
[]

[AuxKernels]
  [ls]
    type = MeshCutLevelSetAux
    mesh_cut_user_object = cut_mesh
    variable = ls
  []
[]

[BCs]
  [box1_x]
    type = DirichletBC
    variable = disp_x
    value = 0
    boundary = left
  []
  [box1_y]
    type = DirichletBC
    variable = disp_y
    value = 0
    boundary = left
  []
  [box2_x]
    type = FunctionDirichletBC
    variable = disp_x
    function = '0.01*t'
    boundary = right
  []
[]

[Executioner]
  type = Transient

  solve_type = 'PJFNK'
  petsc_options_iname = '-pc_type'
  petsc_options_value = 'lu'

  l_max_its = 20
  l_tol = 1e-3
  nl_max_its = 15
  nl_abs_tol = 1e-10
  nl_rel_tol = 1e-12

  start_time = 0.0
  dt = 2
  end_time = 2

  max_xfem_update = 1
[]

[Outputs]
  exodus = true
[]

(test/tests/postprocessors/element_time_derivative/element_time_derivative_test.i)

[Mesh]
  type = GeneratedMesh
  dim = 2
  xmin = -1
  xmax = 1
  ymin = -1
  ymax = 1
  nx = 10
  ny = 10
  elem_type = QUAD4
[]

[Variables]
  [./u]
    order = FIRST
    family = LAGRANGE
    [./InitialCondition]
      type = ConstantIC
      value = 0
    [../]
  [../]
[]

[Functions]
  [./forcing_fn]
    # dudt = 3*t^2*(x^2 + y^2)
    type = ParsedFunction
    expression = 3*t*t*((x*x)+(y*y))-(4*t*t*t)
  [../]
  [./forcing_fn2]
    # dudt = 3*t^2*(x^2 + y^2)
    type = ParsedFunction
    expression = t*x*y
  [../]
  [./exact_fn]
    type = ParsedFunction
    expression = t*t*t*((x*x)+(y*y))
  [../]
[]

[Kernels]
  [./ie]
    type = TimeDerivative
    variable = u
  [../]
  [./diff]
    type = Diffusion
    variable = u
  [../]
  [./ffn]
    type = BodyForce
    variable = u
    function = forcing_fn2
  [../]
[]

[BCs]
  active = 'all'
  [./all]
    type = FunctionDirichletBC
    variable = u
    boundary = '0 1 2 3'
    function = exact_fn
  [../]
  [./left]
    type = DirichletBC
    variable = u
    boundary = 3
    value = 0
  [../]
  [./right]
    type = DirichletBC
    variable = u
    boundary = 1
    value = 1
  [../]
[]

[Postprocessors]
  [./elementAvgTimeDerivative]
    type = ElementAverageTimeDerivative
    variable = u
  [../]
  [./elementAvgValue]
    type = ElementAverageValue
    variable = u
  [../]
[]

[Executioner]
  type = Transient
  scheme = implicit-euler

  solve_type = 'PJFNK'

  start_time = 0.0
  num_steps = 5
  dt = 0.1
[]

[Outputs]
  execute_on = 'timestep_end'
  file_base = out_elm_time_deriv
  csv = true
[]

(modules/solid_mechanics/test/tests/notched_plastic_block/cmc_planar.i)

# Uses an unsmoothed version of capped-Mohr-Coulomb (via ComputeMultiPlasticityStress with SolidMechanicsPlasticTensileMulti and SolidMechanicsPlasticMohrCoulombMulti) to simulate the following problem.
# A cubical block is notched around its equator.
# All of its outer surfaces have roller BCs, but the notched region is free to move as needed
# The block is initialised with a high hydrostatic tensile stress
# Without the notch, the BCs do not allow contraction of the block, and this stress configuration is admissible
# With the notch, however, the interior parts of the block are free to move in order to relieve stress, and this causes plastic failure
# The top surface is then pulled upwards (the bottom is fixed because of the roller BCs)
# This causes more failure
[Mesh]
  [generated_mesh]
    type = GeneratedMeshGenerator
    dim = 3
    nx = 9
    ny = 9
    nz = 9
    xmin = 0
    xmax = 0.1
    ymin = 0
    ymax = 0.1
    zmin = 0
    zmax = 0.1
  []
  [block_to_remove_xmin]
    type = SubdomainBoundingBoxGenerator
    bottom_left = '-0.01 -0.01 0.045'
    top_right = '0.01 0.11 0.055'
    location = INSIDE
    block_id = 1
    input = generated_mesh
  []
  [block_to_remove_xmax]
    type = SubdomainBoundingBoxGenerator
    bottom_left = '0.09 -0.01 0.045'
    top_right = '0.11 0.11 0.055'
    location = INSIDE
    block_id = 1
    input = block_to_remove_xmin
  []
  [block_to_remove_ymin]
    type = SubdomainBoundingBoxGenerator
    bottom_left = '-0.01 -0.01 0.045'
    top_right = '0.11 0.01 0.055'
    location = INSIDE
    block_id = 1
    input = block_to_remove_xmax
  []
  [block_to_remove_ymax]
    type = SubdomainBoundingBoxGenerator
    bottom_left = '-0.01 0.09 0.045'
    top_right = '0.11 0.11 0.055'
    location = INSIDE
    block_id = 1
    input = block_to_remove_ymin
  []
  [remove_block]
    type = BlockDeletionGenerator
    block = 1
    input = block_to_remove_ymax
  []
[]

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]

[Physics/SolidMechanics/QuasiStatic]
  [./all]
    add_variables = true
    incremental = true
    generate_output = 'max_principal_stress mid_principal_stress min_principal_stress stress_zz'
    eigenstrain_names = ini_stress
  [../]
[]

[Postprocessors]
  [./uz]
    type = PointValue
    point = '0 0 0.1'
    use_displaced_mesh = false
    variable = disp_z
  [../]
  [./s_zz]
    type = ElementAverageValue
    use_displaced_mesh = false
    variable = stress_zz
  [../]
  [./num_res]
    type = NumResidualEvaluations
  [../]
  [./nr_its]
    type = ElementAverageValue
    variable = num_iters
  [../]
  [./max_nr_its]
    type = ElementExtremeValue
    variable = num_iters
  [../]
  [./runtime]
    type = PerfGraphData
    data_type = TOTAL
    section_name = 'Root'
  [../]
[]

[BCs]
  # back=zmin, front=zmax, bottom=ymin, top=ymax, left=xmin, right=xmax
  [./xmin_xzero]
    type = DirichletBC
    variable = disp_x
    boundary = left
    value = 0.0
  [../]
  [./xmax_xzero]
    type = DirichletBC
    variable = disp_x
    boundary = right
    value = 0.0
  [../]
  [./ymin_yzero]
    type = DirichletBC
    variable = disp_y
    boundary = bottom
    value = 0.0
  [../]
  [./ymax_yzero]
    type = DirichletBC
    variable = disp_y
    boundary = top
    value = 0.0
  [../]
  [./zmin_zzero]
    type = DirichletBC
    variable = disp_z
    boundary = back
    value = '0'
  [../]
  [./zmax_disp]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = front
    function = '1E-6*max(t,0)'
  [../]
[]

[AuxVariables]
  [./mc_int]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./plastic_strain]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./num_iters]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./yield_fcn]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]

[AuxKernels]
  [./mc_int_auxk]
    type = MaterialStdVectorAux
    index = 0
    property = plastic_internal_parameter
    variable = mc_int
  [../]
  [./plastic_strain_aux]
    type = MaterialRankTwoTensorAux
    i = 2
    j = 2
    property = plastic_strain
    variable = plastic_strain
  [../]
  [./num_iters_auxk] # cannot use plastic_NR_iterations directly as this is zero, since no NR iterations are actually used, since we use a custom algorithm to do the return
    type = ParsedAux
    coupled_variables = plastic_strain
    expression = 'if(plastic_strain>0,1,0)'
    variable = num_iters
  [../]
  [./yield_fcn_auxk]
    type = MaterialStdVectorAux
    index = 0
    property = plastic_yield_function
    variable = yield_fcn
  [../]
[]

[UserObjects]
  [./ts]
    type = SolidMechanicsHardeningConstant
    value = 3E6
  [../]
  [./tensile]
    type = SolidMechanicsPlasticTensileMulti
    tensile_strength = ts
    yield_function_tolerance = 1
    internal_constraint_tolerance = 1.0E-6
    #shift = 1
    use_custom_returnMap = false
    use_custom_cto = false
  [../]

  [./mc_coh]
    type = SolidMechanicsHardeningConstant
    value = 5E6
  [../]
  [./mc_phi]
    type = SolidMechanicsHardeningConstant
    value = 35
    convert_to_radians = true
  [../]
  [./mc_psi]
    type = SolidMechanicsHardeningConstant
    value = 10
    convert_to_radians = true
  [../]
  [./mc]
    type = SolidMechanicsPlasticMohrCoulombMulti
    cohesion = mc_coh
    friction_angle = mc_phi
    dilation_angle = mc_psi
    yield_function_tolerance = 1E-5
    internal_constraint_tolerance = 1E-11
    use_custom_returnMap = false
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeIsotropicElasticityTensor
    youngs_modulus = 16E9
    poissons_ratio = 0.25
  [../]
  [./mc]
    type = ComputeMultiPlasticityStress
    ep_plastic_tolerance = 1E-6
    plastic_models = 'tensile mc'
    max_NR_iterations = 50
    specialIC = rock
    deactivation_scheme = safe_to_dumb
    debug_fspb = crash
  [../]
  [./strain_from_initial_stress]
    type = ComputeEigenstrainFromInitialStress
    initial_stress = '2.5E6 0 0  0 2.5E6 0  0 0 2.5E6'
    eigenstrain_name = ini_stress
  [../]
[]

[Preconditioning]
  [./andy]
    type = SMP
    full = true
  [../]
[]

[Executioner]
  start_time = -1
  end_time = 10
  dt = 1
  solve_type = NEWTON
  type = Transient

  l_tol = 1E-2
  nl_abs_tol = 1E-5
  nl_rel_tol = 1E-7
  l_max_its = 200
  nl_max_its = 400

  petsc_options_iname = '-pc_type -pc_asm_overlap -sub_pc_type -ksp_type -ksp_gmres_restart'
  petsc_options_value = ' asm      2              lu            gmres     200'
[]


[Outputs]
  file_base = cmc_planar
  perf_graph = true
  exodus = false
  csv = true
[]

(modules/solid_mechanics/test/tests/crystal_plasticity/stress_update_material_based/linesearch.i)

[GlobalParams]
  displacements = 'ux uy uz'
[]

[Mesh]
  type = GeneratedMesh
  dim = 3
  elem_type = HEX8
[]

[AuxVariables]
  [fp_zz]
    order = CONSTANT
    family = MONOMIAL
  []
  [e_zz]
    order = CONSTANT
    family = MONOMIAL
  []
  [gss]
    order = CONSTANT
    family = MONOMIAL
  []
[]

[Functions]
  [tdisp]
    type = ParsedFunction
    expression = 0.01*t
  []
[]

[Physics/SolidMechanics/QuasiStatic/all]
  strain = FINITE
  add_variables = true
  generate_output = stress_zz
[]

[AuxKernels]
  [fp_zz]
    type = RankTwoAux
    variable = fp_zz
    rank_two_tensor = plastic_deformation_gradient
    index_j = 2
    index_i = 2
    execute_on = timestep_end
  []
  [e_zz]
    type = RankTwoAux
    variable = e_zz
    rank_two_tensor = total_lagrangian_strain
    index_j = 2
    index_i = 2
    execute_on = timestep_end
  []
  [gss1]
    type = MaterialStdVectorAux
    variable = gss
    property = slip_resistance
    index = 0
    execute_on = timestep_end
  []
[]

[BCs]
  [symmy]
    type = DirichletBC
    variable = uy
    boundary = bottom
    value = 0
  []
  [symmx]
    type = DirichletBC
    variable = ux
    boundary = left
    value = 0
  []
  [symmz]
    type = DirichletBC
    variable = uz
    boundary = back
    value = 0
  []
  [tdisp]
    type = FunctionDirichletBC
    variable = uz
    boundary = front
    function = tdisp
  []
[]

[Materials]
  [elasticity_tensor]
    type = ComputeElasticityTensorCP
    C_ijkl = '1.684e5 1.214e5 1.214e5 1.684e5 1.214e5 1.684e5 0.754e5 0.754e5 0.754e5'
    fill_method = symmetric9
  []
  [stress]
    type = ComputeMultipleCrystalPlasticityStress
    crystal_plasticity_models = 'trial_xtalpl'
    tan_mod_type = exact
    maximum_substep_iteration = 200
    use_line_search = true
    min_line_search_step_size = 0.01
  []
  [trial_xtalpl]
    type = CrystalPlasticityKalidindiUpdate
    number_slip_systems = 12
    slip_sys_file_name = input_slip_sys.txt
    resistance_tol = 0.01
  []
[]

[Postprocessors]
  [stress_zz]
    type = ElementAverageValue
    variable = stress_zz
  []
  [fp_zz]
    type = ElementAverageValue
    variable = fp_zz
  []
  [e_zz]
    type = ElementAverageValue
    variable = e_zz
  []
  [gss]
    type = ElementAverageValue
    variable = gss
  []
[]

[Preconditioning]
  [smp]
    type = SMP
    full = true
  []
[]

[Executioner]
  type = Transient
  dt = 0.05
  solve_type = 'PJFNK'

  petsc_options_iname = -pc_hypre_type
  petsc_options_value = boomerang
  nl_abs_tol = 1e-10
  nl_rel_step_tol = 1e-10
  dtmax = 10.0
  nl_rel_tol = 1e-10
  end_time = 1
  dtmin = 0.02
  num_steps = 10
  nl_abs_step_tol = 1e-10
[]

[Outputs]
  exodus = true
[]

(test/tests/variables/fe_monomial_const/monomial-const-2d.i)

[Mesh]
  type = GeneratedMesh
  dim = 2
  xmin = -1
  xmax = 1
  ymin = -1
  ymax = 1
  nx = 100
  ny = 100
  elem_type = QUAD4
[]

[Functions]
  [./bc_fn]
    type=ParsedFunction
    expression=0
  [../]
  [./bc_fnt]
    type = ParsedFunction
    expression = 0
  [../]
  [./bc_fnb]
    type = ParsedFunction
    expression = 0
  [../]
  [./bc_fnl]
    type = ParsedFunction
    expression = 0
  [../]
  [./bc_fnr]
    type = ParsedFunction
    expression = 0
  [../]

  [./forcing_fn]
#    type = ParsedFunction
#    expression = 0
    type = MTPiecewiseConst2D
  [../]

  [./solution]
    type = MTPiecewiseConst2D
  [../]
[]

[Variables]
  [./u]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]

[Kernels]
  active = 'diff forcing reaction'
  [./diff]
    type = Diffusion
    variable = u
  [../]

  [./reaction]
    type = Reaction
    variable = u
  [../]

  [./forcing]
    type = BodyForce
    variable = u
    function = forcing_fn
  [../]
[]

[BCs]
  # Note: MOOSE's DirichletBCs do not work properly with shape functions that do not
  #       have DOFs at the element edges.  This test works because the solution
  #       has been designed to be zero at the boundary which is satisfied by the IC
  #       Ticket #1352
  active = ''
  [./bc_all]
    type=FunctionDirichletBC
    variable = u
    boundary = 'top bottom left right'
    function = bc_fn
  [../]
  [./bc_top]
    type = FunctionNeumannBC
    variable = u
    boundary = 'top'
    function = bc_fnt
  [../]
  [./bc_bottom]
    type = FunctionNeumannBC
    variable = u
    boundary = 'bottom'
    function = bc_fnb
  [../]
  [./bc_left]
    type = FunctionNeumannBC
    variable = u
    boundary = 'left'
    function = bc_fnl
  [../]
  [./bc_right]
    type = FunctionNeumannBC
    variable = u
    boundary = 'right'
    function = bc_fnr
  [../]
[]

[Postprocessors]
  [./dofs]
    type = NumDOFs
  [../]

  [./h]
    type = AverageElementSize
  [../]

  [./L2error]
    type = ElementL2Error
    variable = u
    function = solution
  [../]
  [./H1error]
    type = ElementH1Error
    variable = u
    function = solution
  [../]
  [./H1Semierror]
    type = ElementH1SemiError
    variable = u
    function = solution
  [../]
[]

[Executioner]
  type = Steady

  solve_type = 'PJFNK'
  nl_rel_tol = 1.e-10
  [./Adaptivity]

  [../]
[]

[Outputs]
  execute_on = 'timestep_end'
  [./out]
    type = Exodus
    elemental_as_nodal = true
  [../]
[]

(test/tests/postprocessors/nodal_var_value/nodal_var_value.i)

[Mesh]
  file = square-2x2-nodeids.e
  # NodalVariableValue is not safe on renumbered meshes
  allow_renumbering = false
[]

[Variables]
  active = 'u v'

  [./u]
    order = SECOND
    family = LAGRANGE
  [../]

  [./v]
    order = SECOND
    family = LAGRANGE
  [../]
[]

[Functions]
  active = 'force_fn exact_fn left_bc'

  [./force_fn]
    type = ParsedFunction
    expression = '1-x*x+2*t'
  [../]

  [./exact_fn]
    type = ParsedFunction
    expression = '(1-x*x)*t'
  [../]

  [./left_bc]
    type = ParsedFunction
    expression = t
  [../]
[]

[Kernels]
  active = '
    time_u diff_u ffn_u
    time_v diff_v'

  [./time_u]
    type = TimeDerivative
    variable = u
  [../]

  [./diff_u]
    type = Diffusion
    variable = u
  [../]

  [./ffn_u]
    type = BodyForce
    variable = u
    function = force_fn
  [../]

  [./time_v]
    type = TimeDerivative
    variable = v
  [../]

  [./diff_v]
    type = Diffusion
    variable = v
  [../]
[]

[BCs]
  active = 'all_u left_v right_v'

  [./all_u]
    type = FunctionDirichletBC
    variable = u
    boundary = '1'
    function = exact_fn
  [../]

  [./left_v]
    type = FunctionDirichletBC
    variable = v
    boundary = '3'
    function = left_bc
  [../]

  [./right_v]
    type = DirichletBC
    variable = v
    boundary = '2'
    value = 0
  [../]
[]

[Postprocessors]
  active = 'l2 scalednode1 node1 node4'

  [./l2]
    type = ElementL2Error
    variable = u
    function = exact_fn
  [../]

  [./node1]
    type = NodalVariableValue
    variable = u
    nodeid = 15
  [../]

  [./scalednode1]
    type = NodalVariableValue
    variable = u
    nodeid = 15
    scale_factor = 2
  [../]

  [./node4]
    type = NodalVariableValue
    variable = v
    nodeid = 10
  [../]
[]

[Executioner]
  type = Transient

  solve_type = 'PJFNK'

  dt = 0.1
  start_time = 0
  end_time = 1
[]

[Outputs]
  execute_on = 'timestep_end'
  file_base = out_nodal_var_value
  exodus = true
[]

(test/tests/postprocessors/pps_interval/pps_bad_interval2.i)

[Mesh]
  file = square-2x2-nodeids.e
  # This test can only be run with renumering disabled, so the
  # NodalVariableValue postprocessor's node id is well-defined.
  allow_renumbering = false
[]

[Variables]
  active = 'u v'

  [./u]
    order = SECOND
    family = LAGRANGE
  [../]

  [./v]
    order = SECOND
    family = LAGRANGE
  [../]
[]

[Functions]
  active = 'force_fn exact_fn left_bc'

  [./force_fn]
    type = ParsedFunction
    expression = '1-x*x+2*t'
  [../]

  [./exact_fn]
    type = ParsedFunction
    expression = '(1-x*x)*t'
  [../]

  [./left_bc]
    type = ParsedFunction
    expression = t
  [../]
[]

[Kernels]
  active = '
    time_u diff_u ffn_u
    time_v diff_v'

  [./time_u]
    type = TimeDerivative
    variable = u
  [../]

  [./diff_u]
    type = Diffusion
    variable = u
  [../]

  [./ffn_u]
    type = BodyForce
    variable = u
    function = force_fn
  [../]

  [./time_v]
    type = TimeDerivative
    variable = v
  [../]

  [./diff_v]
    type = Diffusion
    variable = v
  [../]
[]

[BCs]
  active = 'all_u left_v right_v'

  [./all_u]
    type = FunctionDirichletBC
    variable = u
    boundary = '1'
    function = exact_fn
  [../]

  [./left_v]
    type = FunctionDirichletBC
    variable = v
    boundary = '3'
    function = left_bc
  [../]

  [./right_v]
    type = DirichletBC
    variable = v
    boundary = '2'
    value = 0
  [../]
[]

[Postprocessors]
  active = 'l2 node1 node4'

  [./l2]
    type = ElementL2Error
    variable = u
    function = exact_fn
  [../]

  [./node1]
    type = NodalVariableValue
    variable = u
    nodeid = 15
  [../]

  [./node4]
    type = NodalVariableValue
    variable = v
    nodeid = 10
  [../]
[]

[Executioner]
  type = Transient

  solve_type = 'PJFNK'

  dt = 0.1
  start_time = 0
  end_time = 1
[]

[Outputs]
  file_base = ignore_bad
  exodus = true
  [./console]
    type = Console
    time_step_interval = 2
  [../]
[]

(modules/solid_mechanics/test/tests/stickyBC/push_up.i)

# Testing StickyBC
#
# Push the bottom of an element upward until the top hits an (invisible) obstruction.
# 10 timesteps are used.  In each timestep disp_y is increased by 0.1.  The
# StickyBC has a max_value of 0.49, so at timestep 5 this bound will be violated
# and the top boundary will be fixed forever after.
#
# This test also illustrates that StickyBC is only ever meant to be used in
# special situations:
# - if, after the simulation ends, the bottom is moved downward again, the StickyBC
#   will keep the top fixed.  Ie, the StickyBC is truly "sticky".
# - setting max_value = 0.5 in this test illustrates the "approximate" nature
#   of StickyBC, in that some nodes will be fixed at disp_y=0.5, while others
#   will be fixed at disp_y=0.6, due to the timestepping and roundoff errors
#   in MOOSE's solution.
[Mesh]
  type = GeneratedMesh
  dim = 3
[]

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]

[Physics/SolidMechanics/QuasiStatic]
  [./all]
    add_variables = true
  [../]
[]

[BCs]
  [./obstruction]
    type = StickyBC
    variable = disp_y
    boundary = top
    max_value = 0.49
  [../]
  [./bottom]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = bottom
    function = t
  [../]
  [./left]
    type = DirichletBC
    variable = disp_x
    boundary = left
    value = 0
  [../]
  [./front]
    type = DirichletBC
    variable = disp_z
    boundary = front
    value = 0
  [../]
[]

[Materials]
  [./stress]
    type = ComputeLinearElasticStress
  [../]
  [./elasticity_tensor]
    type = ComputeIsotropicElasticityTensor
    youngs_modulus = 1.0
    poissons_ratio = 0.2
  [../]
[]

[Preconditioning]
  [./SMP]
    type = SMP
    full = true
  [../]
[]

[Executioner]
  type = Transient
  solve_type = Linear
  dt = 0.1
  end_time = 1.0
[]

[Outputs]
  exodus = true
[]

(modules/contact/test/tests/bouncing-block-contact/frictionless-penalty-weighted-gap-action.i)

starting_point = 2e-1
offset = 1e-2

[GlobalParams]
  displacements = 'disp_x disp_y'
  diffusivity = 1e0
  scaling = 1e0
  preset = false
[]

[Mesh]
  [mesh_file]
    type = FileMeshGenerator
    file = long-bottom-block-1elem-blocks.e
  []
  [remove_blocks]
    type = BlockDeletionGenerator
    input = mesh_file
    block = '3 4'
  []
[]

[Variables]
  [disp_x]
    block = '1 2'
  []
  [disp_y]
    block = '1 2'
  []
[]

[ICs]
  [disp_y]
    block = 2
    variable = disp_y
    value = '${fparse starting_point + offset}'
    type = ConstantIC
  []
[]

[Kernels]
  [disp_x]
    type = MatDiffusion
    variable = disp_x
  []
  [disp_y]
    type = MatDiffusion
    variable = disp_y
  []
[]

[Contact]
  [weighted_gap]
    formulation = mortar_penalty
    model = frictionless
    secondary = 10
    primary = 20
    penalty = 1e0
    use_dual = false
  []
[]

[BCs]
  [botx]
    type = DirichletBC
    variable = disp_x
    boundary = 40
    value = 0.0
  []
  [boty]
    type = DirichletBC
    variable = disp_y
    boundary = 40
    value = 0.0
  []
  [topy]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 30
    function = '${starting_point} * cos(2 * pi / 40 * t) + ${offset}'
  []
  [leftx]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 50
    function = '1e-2 * t'
  []
[]

[Executioner]
  type = Transient
  end_time = 200
  dt = 5
  dtmin = .1
  solve_type = 'PJFNK'
  petsc_options = '-snes_converged_reason -ksp_converged_reason -pc_svd_monitor '
                  '-snes_linesearch_monitor'
  petsc_options_iname = '-pc_type -pc_factor_shift_type -pc_factor_shift_amount -mat_mffd_err'
  petsc_options_value = 'lu       NONZERO               1e-15                   1e-5'
  l_max_its = 30
  nl_max_its = 20
  line_search = 'none'
  snesmf_reuse_base = true
  abort_on_solve_fail = true
  nl_rel_tol = 1e-13
[]

[Debug]
  show_var_residual_norms = true
[]

[Outputs]
  exodus = true
[]

[Preconditioning]
  [smp]
    type = SMP
    full = true
  []
[]

[Postprocessors]
  active = 'num_nl cumulative'
  [num_nl]
    type = NumNonlinearIterations
  []
  [cumulative]
    type = CumulativeValuePostprocessor
    postprocessor = num_nl
  []
[]

(modules/solid_mechanics/test/tests/capped_mohr_coulomb/small_deform17.i)

# Using CappedMohrCoulomb with compressive failure only
# A single element is incrementally compressed
# This causes the return direction to be along the hypersurface sigma_II = sigma_III
# and the resulting stresses are checked to lie on the expected yield surface

[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]

[Physics/SolidMechanics/QuasiStatic]
  [./all]
    add_variables = true
    incremental = true
    generate_output = 'max_principal_stress mid_principal_stress min_principal_stress stress_xx stress_xy stress_xz stress_yy stress_yz stress_zz'
  [../]
[]

[BCs]
  [./x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'front back'
    function = '-2*x*t'
  [../]
  [./y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'front back'
    function = '-2*y*t'
  [../]
  [./z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'front back'
    function = '-0.4*z*(t+2*t*t)'
  [../]
[]

[AuxVariables]
  [./yield_fcn]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]

[AuxKernels]
  [./yield_fcn_auxk]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 3
    variable = yield_fcn
  [../]
[]

[Postprocessors]
  [./s_I]
    type = PointValue
    point = '0 0 0'
    variable = max_principal_stress
  [../]
  [./s_II]
    type = PointValue
    point = '0 0 0'
    variable = mid_principal_stress
  [../]
  [./s_III]
    type = PointValue
    point = '0 0 0'
    variable = min_principal_stress
  [../]
  [./f]
    type = PointValue
    point = '0 0 0'
    variable = yield_fcn
  [../]
[]

[UserObjects]
  [./ts]
    type = SolidMechanicsHardeningConstant
    value = 1E6
  [../]
  [./cs]
    type = SolidMechanicsHardeningConstant
    value = 1
  [../]
  [./coh]
    type = SolidMechanicsHardeningConstant
    value = 1E6
  [../]
  [./ang]
    type = SolidMechanicsHardeningConstant
    value = 0.5
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    fill_method = symmetric_isotropic
    C_ijkl = '0 2.0'
  [../]
  [./tensile]
    type = CappedMohrCoulombStressUpdate
    tensile_strength = ts
    compressive_strength = cs
    cohesion = coh
    friction_angle = ang
    dilation_angle = ang
    smoothing_tol = 0.5
    yield_function_tol = 1.0E-12
  [../]
  [./stress]
    type = ComputeMultipleInelasticStress
    inelastic_models = tensile
    perform_finite_strain_rotations = false
  [../]
[]


[Executioner]
  end_time = 1
  dt = 0.1
  type = Transient
[]


[Outputs]
  file_base = small_deform17
  csv = true
[]

(modules/solid_mechanics/examples/coal_mining/cosserat_wp_only.i)

# Strata deformation and fracturing around a coal mine
#
# A 2D geometry is used that simulates a transverse section of
# the coal mine.  The model is actually 3D, but the "x"
# dimension is only 10m long, meshed with 1 element, and
# there is no "x" displacement.  The mine is 300m deep
# and just the roof is studied (0<=z<=300).  The model sits
# between 0<=y<=450.  The excavation sits in 0<=y<=150.  This
# is a "half model": the boundary conditions are such that
# the model simulates an excavation sitting in -150<=y<=150
# inside a model of the region -450<=y<=450.  The
# excavation height is 3m (ie, the excavation lies within
# 0<=z<=3).  Mining is simulated by moving the excavation's
# roof down, until disp_z=-3 at t=1.
# Time is meaningless in this example
# as quasi-static solutions are sought at each timestep, but
# the number of timesteps controls the resolution of the
# process.
#
# The boundary conditions are:
#  - disp_x = 0 everywhere
#  - disp_y = 0 at y=0 and y=450
#  - disp_z = 0 for y>150
#  - disp_z = -3 at maximum, for 0<=y<=150.  See excav function.
# That is, rollers on the sides, free at top, and prescribed at bottom.
#
# The small strain formulation is used.
#
# All stresses are measured in MPa.  The initial stress is consistent with
# the weight force from density 2500 kg/m^3, ie, stress_zz = -0.025*(300-z) MPa
# where gravity = 10 m.s^-2 = 1E-5 MPa m^2/kg.  The maximum and minimum
# principal horizontal stresses are assumed to be equal to 0.8*stress_zz.
#
# Below you will see Drucker-Prager parameters and AuxVariables, etc.
# These are not actally used in this example.
#
# Material properties:
# Young's modulus = 8 GPa
# Poisson's ratio = 0.25
# Cosserat layer thickness = 1 m
# Cosserat-joint normal stiffness = large
# Cosserat-joint shear stiffness = 1 GPa
# Weak-plane cohesion = 0.1 MPa
# Weak-plane friction angle = 20 deg
# Weak-plane dilation angle = 10 deg
# Weak-plane tensile strength = 0.1 MPa
# Weak-plane compressive strength = 100 MPa, varying down to 1 MPa when tensile strain = 1
#
[Mesh]
  [generated_mesh]
    type = GeneratedMeshGenerator
    dim = 3
    nx = 1
    xmin = -5
    xmax = 5
    nz = 40
    zmin = 0
    zmax = 400
    bias_z = 1.1
    ny = 30 # make this a multiple of 3, so y=150 is at a node
    ymin = 0
    ymax = 450
  []
  [left]
    type = SideSetsAroundSubdomainGenerator
    new_boundary = 11
    normal = '0 -1 0'
    input = generated_mesh
  []
  [right]
    type = SideSetsAroundSubdomainGenerator
    new_boundary = 12
    normal = '0 1 0'
    input = left
  []
  [front]
    type = SideSetsAroundSubdomainGenerator
    new_boundary = 13
    normal = '-1 0 0'
    input = right
  []
  [back]
    type = SideSetsAroundSubdomainGenerator
    new_boundary = 14
    normal = '1 0 0'
    input = front
  []
  [top]
    type = SideSetsAroundSubdomainGenerator
    new_boundary = 15
    normal = '0 0 1'
    input = back
  []
  [bottom]
    type = SideSetsAroundSubdomainGenerator
    new_boundary = 16
    normal = '0 0 -1'
    input = top
  []
  [excav]
    type = SubdomainBoundingBoxGenerator
    block_id = 1
    bottom_left = '-5 0 0'
    top_right = '5 150 3'
    input = bottom
  []
  [roof]
    type = SideSetsBetweenSubdomainsGenerator
    new_boundary = 21
    primary_block = 0
    paired_block = 1
    input = excav
  []
  [hole]
    type = BlockDeletionGenerator
    block = 1
    input = roof
  []
[]

[GlobalParams]
  block = 0
  perform_finite_strain_rotations = false
  displacements = 'disp_x disp_y disp_z'
  Cosserat_rotations = 'wc_x wc_y wc_z'
[]

[Variables]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
  [./wc_x]
  [../]
[]

[Kernels]
  [./cy_elastic]
    type = CosseratStressDivergenceTensors
    use_displaced_mesh = false
    variable = disp_y
    component = 1
  [../]
  [./cz_elastic]
    type = CosseratStressDivergenceTensors
    use_displaced_mesh = false
    variable = disp_z
    component = 2
  [../]
  [./x_couple]
    type = StressDivergenceTensors
    use_displaced_mesh = false
    variable = wc_x
    displacements = 'wc_x wc_y wc_z'
    component = 0
    base_name = couple
  [../]
  [./x_moment]
    type = MomentBalancing
    use_displaced_mesh = false
    variable = wc_x
    component = 0
  [../]
  [./gravity]
    type = Gravity
    use_displaced_mesh = false
    variable = disp_z
    value = -10E-6
  [../]
[]


[AuxVariables]
  [./disp_x]
  [../]
  [./wc_y]
  [../]
  [./wc_z]
  [../]
  [./stress_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./dp_shear]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./dp_tensile]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./wp_shear]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./wp_tensile]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./wp_shear_f]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./wp_tensile_f]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./dp_shear_f]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./dp_tensile_f]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]

[AuxKernels]
  [./stress_xx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xx
    index_i = 0
    index_j = 0
  [../]
  [./stress_yy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yy
    index_i = 1
    index_j = 1
  [../]
  [./stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zz
    index_i = 2
    index_j = 2
  [../]
  [./dp_shear]
    type = MaterialStdVectorAux
    index = 0
    property = dp_plastic_internal_parameter
    variable = dp_shear
  [../]
  [./dp_tensile]
    type = MaterialStdVectorAux
    index = 1
    property = dp_plastic_internal_parameter
    variable = dp_tensile
  [../]
  [./wp_shear]
    type = MaterialStdVectorAux
    index = 0
    property = wp_plastic_internal_parameter
    variable = wp_shear
  [../]
  [./wp_tensile]
    type = MaterialStdVectorAux
    index = 1
    property = wp_plastic_internal_parameter
    variable = wp_tensile
  [../]
  [./dp_shear_f]
    type = MaterialStdVectorAux
    index = 0
    property = dp_plastic_yield_function
    variable = dp_shear_f
  [../]
  [./dp_tensile_f]
    type = MaterialStdVectorAux
    index = 1
    property = dp_plastic_yield_function
    variable = dp_tensile_f
  [../]
  [./wp_shear_f]
    type = MaterialStdVectorAux
    index = 0
    property = wp_plastic_yield_function
    variable = wp_shear_f
  [../]
  [./wp_tensile_f]
    type = MaterialStdVectorAux
    index = 1
    property = wp_plastic_yield_function
    variable = wp_tensile_f
  [../]
[]



[BCs]
  [./no_y]
    type = DirichletBC
    variable = disp_y
    boundary = '11 12 16 21' # note addition of 16 and 21
    value = 0.0
  [../]
  [./no_z]
    type = DirichletBC
    variable = disp_z
    boundary = '16'
    value = 0.0
  [../]
  [./no_wc_x]
    type = DirichletBC
    variable = wc_x
    boundary = '11 12'
    value = 0.0
  [../]
  [./roof]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 21
    function = excav_sideways
  [../]
[]

[Functions]
  [./ini_xx]
    type = ParsedFunction
    expression = '-0.8*2500*10E-6*(400-z)'
  [../]
  [./ini_zz]
    type = ParsedFunction
    expression = '-2500*10E-6*(400-z)'
  [../]
  [./excav_sideways]
    type = ParsedFunction
    symbol_names = 'end_t ymin ymax  e_h  closure_dist'
    symbol_values = '1.0   0    150.0 -3.0 15.0'
    expression = 'e_h*max(min((t/end_t*(ymax-ymin)+ymin-y)/closure_dist,1),0)'
  [../]
  [./excav_downwards]
    type = ParsedFunction
    symbol_names = 'end_t ymin ymax  e_h  closure_dist'
    symbol_values = '1.0   0    150.0 -3.0 15.0'
    expression = 'e_h*t/end_t*max(min(((ymax-ymin)+ymin-y)/closure_dist,1),0)'
  [../]
[]

[UserObjects]
  [./dp_coh_strong_harden]
    type = SolidMechanicsHardeningExponential
    value_0 = 2.9 # MPa
    value_residual = 3.1 # MPa
    rate = 1.0
  [../]
  [./dp_fric]
    type = SolidMechanicsHardeningConstant
    value = 0.65 # 37deg
  [../]
  [./dp_dil]
    type = SolidMechanicsHardeningConstant
    value = 0.65
  [../]

  [./dp_tensile_str_strong_harden]
    type = SolidMechanicsHardeningExponential
    value_0 = 1.0 # MPa
    value_residual = 1.4 # MPa
    rate = 1.0
  [../]
  [./dp_compressive_str]
    type = SolidMechanicsHardeningConstant
    value = 1.0E3 # Large!
  [../]

  [./drucker_prager_model]
    type = SolidMechanicsPlasticDruckerPrager
    mc_cohesion = dp_coh_strong_harden
    mc_friction_angle = dp_fric
    mc_dilation_angle = dp_dil
    internal_constraint_tolerance = 1 # irrelevant here
    yield_function_tolerance = 1      # irrelevant here
  [../]

  [./wp_coh_harden]
    type = SolidMechanicsHardeningCubic
    value_0 = 0.1
    value_residual = 0.1
    internal_limit = 10
  [../]
  [./wp_tan_fric]
    type = SolidMechanicsHardeningConstant
    value = 0.36 # 20deg
  [../]
  [./wp_tan_dil]
    type = SolidMechanicsHardeningConstant
    value = 0.18 # 10deg
  [../]

  [./wp_tensile_str_harden]
    type = SolidMechanicsHardeningCubic
    value_0 = 0.1
    value_residual = 0.1
    internal_limit = 10
  [../]
  [./wp_compressive_str_soften]
    type = SolidMechanicsHardeningCubic
    value_0 = 100
    value_residual = 1.0
    internal_limit = 1.0
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeLayeredCosseratElasticityTensor
    young = 8E3 # MPa
    poisson = 0.25
    layer_thickness = 1.0
    joint_normal_stiffness = 1E9 # huge
    joint_shear_stiffness = 1E3
  [../]

  [./strain]
    type = ComputeCosseratIncrementalSmallStrain
    eigenstrain_names = ini_stress
  [../]
  [./ini_stress]
    type = ComputeEigenstrainFromInitialStress
    initial_stress = 'ini_xx 0 0  0 ini_xx 0  0 0 ini_zz'
    eigenstrain_name = ini_stress
  [../]

  [./stress]
    type = ComputeMultipleInelasticCosseratStress
    block = 0
    inelastic_models = 'wp'
    relative_tolerance = 2.0
    absolute_tolerance = 1E6
    max_iterations = 1
    tangent_operator = nonlinear
    perform_finite_strain_rotations = false
  [../]
  [./dp]
    type = CappedDruckerPragerCosseratStressUpdate
    block = 0
    warn_about_precision_loss = false
    host_youngs_modulus = 8E3
    host_poissons_ratio = 0.25
    base_name = dp
    DP_model = drucker_prager_model
    tensile_strength = dp_tensile_str_strong_harden
    compressive_strength = dp_compressive_str
    max_NR_iterations = 100000
    tip_smoother = 0.1E1
    smoothing_tol = 0.1E1 # MPa  # Must be linked to cohesion
    yield_function_tol = 1E-11 # MPa.  this is essentially the lowest possible without lots of precision loss
    perfect_guess = true
    min_step_size = 1.0
  [../]
  [./wp]
    type = CappedWeakPlaneCosseratStressUpdate
    block = 0
    warn_about_precision_loss = false
    base_name = wp
    cohesion = wp_coh_harden
    tan_friction_angle = wp_tan_fric
    tan_dilation_angle = wp_tan_dil
    tensile_strength = wp_tensile_str_harden
    compressive_strength = wp_compressive_str_soften
    max_NR_iterations = 10000
    tip_smoother = 0.1
    smoothing_tol = 0.1 # MPa  # Note, this must be tied to cohesion, otherwise get no possible return at cone apex
    yield_function_tol = 1E-11 # MPa.  this is essentially the lowest possible without lots of precision loss
    perfect_guess = true
    min_step_size = 1.0E-3
  [../]


  [./density]
    type = GenericConstantMaterial
    prop_names = density
    prop_values = 2500
  [../]
[]

[Postprocessors]
  [./subsidence]
    type = PointValue
    point = '0 0 400'
    variable = disp_z
    use_displaced_mesh = false
  [../]
[]
[Preconditioning]
  [./SMP]
    type = SMP
    full = true
  []
[]

[Executioner]
  type = Transient

  solve_type = 'NEWTON'

  petsc_options = '-snes_converged_reason'
  petsc_options_iname = '-pc_type -pc_asm_overlap -sub_pc_type -ksp_type -ksp_gmres_restart'
  petsc_options_value = ' asm      2              lu            gmres     200'

  line_search = bt

  nl_abs_tol = 1e-3
  nl_rel_tol = 1e-5

  l_max_its = 30
  nl_max_its = 1000

  start_time = 0.0
  dt = 0.2
  end_time = 0.2

[]

[Outputs]
  file_base = cosserat_wp_only
  time_step_interval = 1
  print_linear_residuals = false
  csv = true
  exodus = true
  [./console]
    type = Console
    output_linear = false
  [../]
[]

(modules/combined/test/tests/j2_plasticity_vs_LSH/j2_hard1_mod.i)

# Test designed to compare results and active time between SH/LinearStrainHardening
# material vs TM j2 plastic user object. As number of elements increases, TM
# active time increases at a much higher rate than SM. Testing at 4x4x4
# (64 elements).
#
# plot vm_stress vs intnl to see constant hardening
#
# Original test located at:
# solid_mechanics/tests/j2_plasticity/hard1.i

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]

[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 4
  ny = 4
  nz = 4
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]

[Physics/SolidMechanics/QuasiStatic]
  [all]
    add_variables = true
    strain = FINITE
    generate_output = 'stress_zz vonmises_stress effective_plastic_strain'
  []
[]

[AuxVariables]
  [intnl]
    order = CONSTANT
    family = MONOMIAL
  []
[]

[AuxKernels]
  [intnl]
    type = MaterialStdVectorAux
    index = 0
    property = plastic_internal_parameter
    variable = intnl
  []
[]

[BCs]
  [left]
    type = DirichletBC
    variable = disp_x
    boundary = left
    value = 0.0
  []
  [bottom]
    type = DirichletBC
    variable = disp_y
    boundary = bottom
    value = 0.0
  []
  [back]
    type = DirichletBC
    variable = disp_z
    boundary = back
    value = 0.0
  []
  [z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = front
    function = 't/60'
  []
[]

[UserObjects]
  [str]
    type = TensorMechanicsHardeningConstant
    value = 2.4e2
  []
  [j2]
    type = TensorMechanicsPlasticJ2
    yield_strength = str
    yield_function_tolerance = 1E-3
    internal_constraint_tolerance = 1E-9
  []
[]

[Materials]
  [elasticity_tensor]
    type = ComputeElasticityTensor
    fill_method = symmetric_isotropic
    #with E = 2.1e5 and nu = 0.3
    #Hooke's law: E-nu to Lambda-G
    C_ijkl = '121154 80769.2'
  []
  [mc]
    type = ComputeMultiPlasticityStress
    ep_plastic_tolerance = 1E-9
    plastic_models = j2
    tangent_operator = elastic
  []
[]

[Executioner]
  type = Transient
  solve_type = 'PJFNK'

  petsc_options = '-snes_ksp_ew'
  petsc_options_iname = '-ksp_gmres_restart'
  petsc_options_value = '101'

  line_search = 'none'

  l_max_its = 100
  nl_max_its = 100
  nl_rel_tol = 1e-6
  nl_abs_tol = 1e-10
  l_tol = 1e-4
  start_time = 0.0
  end_time = 0.5
  dt = 0.01
[]

[Postprocessors]
  [stress_zz]
    type = ElementAverageValue
    variable = stress_zz
  []
  [intnl]
    type = ElementAverageValue
    variable = intnl
  []
  [eq_pl_strain]
    type = PointValue
    point = '0 0 0'
    variable = effective_plastic_strain
  []
  [vm_stress]
    type = PointValue
    point = '0 0 0'
    variable = vonmises_stress
  []
[]

[Outputs]
  csv = true
  print_linear_residuals = false
  perf_graph = true
[]

(modules/solid_mechanics/test/tests/auxkernels/ranktwoscalaraux.i)

[Mesh]
  displacements = 'disp_x disp_y disp_z'
  [generated_mesh]
    type = GeneratedMeshGenerator
    elem_type = HEX8
    dim = 3
    nx = 1
    ny = 1
    nz = 1
    xmin = 0.0
    xmax = 1.0
    ymin = 0.0
    ymax = 1.0
    zmin = 0.0
    zmax = 1.0
  []
  [node]
    type = ExtraNodesetGenerator
    coord = '0.0 0.0 0.0'
    new_boundary = 6
    input = generated_mesh
  []
  [snode]
    type = ExtraNodesetGenerator
    coord = '1.0 0.0 0.0'
    new_boundary = 7
    input = node
  []
[]

[Variables]
  [./disp_x]
    order = FIRST
    family = LAGRANGE
  [../]
 [./disp_y]
    order = FIRST
    family = LAGRANGE
  [../]
  [./disp_z]
    order = FIRST
    family = LAGRANGE
  [../]
[]

[Kernels]
  [SolidMechanics]
    displacements = 'disp_x disp_y disp_z'
  [../]
[]



[Materials]
  [./fplastic]
    type = FiniteStrainPlasticMaterial
    block = 0
    yield_stress='0. 445. 0.05 610. 0.1 680. 0.38 810. 0.95 920. 2. 950.'
  [../]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    block = 0
    C_ijkl = '2.827e5 1.21e5 1.21e5 2.827e5 1.21e5 2.827e5 0.808e5 0.808e5 0.808e5'
    fill_method = symmetric9
  [../]
  [./strain]
    type = ComputeFiniteStrain
    block = 0
    displacements = 'disp_x disp_y disp_z'
  [../]
[]

[Functions]
 [./topfunc]
   type = ParsedFunction
   expression = 't'
 [../]
[]

[BCs]
  [./bottom3]
    type = DirichletBC
    variable = disp_z
    boundary = 0
    value = 0.0
  [../]
  [./top]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 5
    function = topfunc
  [../]
  [./corner1]
    type = DirichletBC
    variable = disp_x
    boundary = 6
    value = 0.0
  [../]
  [./corner2]
    type = DirichletBC
    variable = disp_y
    boundary = 6
    value = 0.0
  [../]
  [./corner3]
    type = DirichletBC
    variable = disp_z
    boundary = 6
    value = 0.0
  [../]
  [./side1]
    type = DirichletBC
    variable = disp_y
    boundary = 7
    value = 0.0
  [../]
  [./side2]
    type = DirichletBC
    variable = disp_z
    boundary = 7
    value = 0.0
  [../]
[]

[AuxVariables]
  [./stress_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./vonmises]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./hydrostatic]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./L2norm]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]

[AuxKernels]
  [./stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zz
    index_i = 2
    index_j = 2
  [../]
  [./vonmises]
    type = RankTwoScalarAux
    rank_two_tensor = stress
    variable = vonmises
    scalar_type = VonMisesStress
  [../]
  [./hydrostatic]
    type = RankTwoScalarAux
    rank_two_tensor = stress
    variable = hydrostatic
    scalar_type = Hydrostatic
  [../]
  [./L2norm]
    type = RankTwoScalarAux
    rank_two_tensor = stress
    variable = L2norm
    scalar_type = L2norm
  [../]
[]

[Postprocessors]
  [./stress_zz]
    type = ElementAverageValue
    variable = stress_zz
  [../]
  [./vonmises]
    type = ElementAverageValue
    variable = vonmises
  [../]
  [./hydrostatic]
    type = ElementAverageValue
    variable = hydrostatic
  [../]
  [./L2norm]
    type = ElementAverageValue
    variable = L2norm
  [../]
[]

[Executioner]

  type = Transient

  dt=0.1
  dtmin=0.1
  dtmax=1
  end_time=1.0

  #Preconditioned JFNK (default)
  solve_type = 'PJFNK'

  nl_rel_tol = 1e-10
  nl_abs_tol = 1e-10
[]

[Outputs]
  exodus = true
[]

(tutorials/darcy_thermo_mech/step08_postprocessors/problems/step8.i)

[Mesh]
  [gmg]
    type = GeneratedMeshGenerator
    dim = 2
    nx = 30
    ny = 3
    xmax = 0.304 # Length of test chamber
    ymax = 0.0257 # Test chamber radius
  []
  coord_type = RZ
  rz_coord_axis = X
  uniform_refine = 2
[]

[Variables]
  [pressure]
  []
  [temperature]
    initial_condition = 300 # Start at room temperature
  []
[]

[Kernels]
  [darcy_pressure]
    type = DarcyPressure
    variable = pressure
  []
  [heat_conduction]
    type = ADHeatConduction
    variable = temperature
  []
  [heat_conduction_time_derivative]
    type = ADHeatConductionTimeDerivative
    variable = temperature
  []
  [heat_convection]
    type = DarcyAdvection
    variable = temperature
    pressure = pressure
  []
[]

[BCs]
  [inlet_temperature]
    type = FunctionDirichletBC
    variable = temperature
    boundary = left
    function = 'if(t<0,350+50*t,350)'
  []
  [outlet_temperature]
    type = HeatConductionOutflow
    variable = temperature
    boundary = right
  []
  [inlet]
    type = DirichletBC
    variable = pressure
    boundary = left
    value = 4000 # (Pa) From Figure 2 from paper.  First data point for 1mm spheres.
  []
  [outlet]
    type = DirichletBC
    variable = pressure
    boundary = right
    value = 0 # (Pa) Gives the correct pressure drop from Figure 2 for 1mm spheres
  []
[]

[Materials/column]
  type = PackedColumn
  temperature = temperature
  radius = 1
  porosity = '0.25952 + 0.7*y/0.0257'
[]

[Postprocessors]
  [average_temperature]
    type = ElementAverageValue
    variable = temperature
  []
  [outlet_heat_flux]
    type = ADSideDiffusiveFluxIntegral
    variable = temperature
    boundary = right
    diffusivity = thermal_conductivity
  []
[]

[VectorPostprocessors/temperature_sample]
  type = LineValueSampler
  num_points = 500
  start_point = '0.1 0      0'
  end_point =   '0.1 0.0257 0'
  variable = temperature
  sort_by = y
[]

[AuxVariables/velocity]
  order = CONSTANT
  family = MONOMIAL_VEC
[]

[AuxKernels/velocity]
  type = DarcyVelocity
  variable = velocity
  execute_on = timestep_end
  pressure = pressure
[]

[Problem]
  type = FEProblem
[]

[Executioner]
  type = Transient
  end_time = 100
  dt = 0.25
  start_time = -1

  solve_type = NEWTON
  petsc_options_iname = '-pc_type -pc_hypre_type'
  petsc_options_value = 'hypre boomeramg'

  automatic_scaling = true
  steady_state_tolerance = 1e-5
  steady_state_detection = true

  [TimeStepper]
    type = FunctionDT
    function = 'if(t<0,0.1,0.25)'
  []
[]

[Outputs]
  exodus = true
  csv = true
[]

(modules/solid_mechanics/test/tests/tensile/random_planar.i)

# Plasticity models:
# Planar tensile with strength = 1MPa
#
# Lame lambda = 1GPa.  Lame mu = 1.3GPa
#
# A line of elements is perturbed randomly, and return to the yield surface at each quadpoint is checked

[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1000
  ny = 1250
  nz = 1
  xmin = 0
  xmax = 1000
  ymin = 0
  ymax = 1250
  zmin = 0
  zmax = 1
[]
[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]

[Physics/SolidMechanics/QuasiStatic]
  [./all]
    add_variables = true
    incremental = true
    strain = finite
    generate_output = 'stress_xx stress_xy stress_xz stress_yy stress_yz stress_zz'
  [../]
[]

[ICs]
  [./x]
    type = RandomIC
    min = -0.1
    max = 0.1
    variable = disp_x
  [../]
  [./y]
    type = RandomIC
    min = -0.1
    max = 0.1
    variable = disp_y
  [../]
  [./z]
    type = RandomIC
    min = -0.1
    max = 0.1
    variable = disp_z
  [../]
[]

[BCs]
  [./x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'front back'
    function = '0'
  [../]
  [./y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'front back'
    function = '0'
  [../]
  [./z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'front back'
    function = '0'
  [../]
[]

[AuxVariables]
  [./f0]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f1]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f2]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./int0]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./iter]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]

[AuxKernels]
  [./f0]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 0
    variable = f0
  [../]
  [./f1]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 1
    variable = f1
  [../]
  [./f2]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 2
    variable = f2
  [../]
  [./int0]
    type = MaterialStdVectorAux
    property = plastic_internal_parameter
    factor = 1E6
    index = 0
    variable = int0
  [../]
  [./iter]
    type = MaterialRealAux
    property = plastic_NR_iterations
    variable = iter
  [../]
[]

[Postprocessors]
  [./tot_iters]
    type = ElementIntegralMaterialProperty
    mat_prop = plastic_NR_iterations
    outputs = console
  [../]
  [./raw_f0]
    type = ElementExtremeValue
    variable = f0
    outputs = console
  [../]
  [./raw_f1]
    type = ElementExtremeValue
    variable = f1
    outputs = console
  [../]
  [./raw_f2]
    type = ElementExtremeValue
    variable = f2
    outputs = console
  [../]
  [./iter]
    type = ElementExtremeValue
    variable = iter
    outputs = console
  [../]
  [./f0]
    type = FunctionValuePostprocessor
    function = should_be_zero0_fcn
  [../]
  [./f1]
    type = FunctionValuePostprocessor
    function = should_be_zero1_fcn
  [../]
  [./f2]
    type = FunctionValuePostprocessor
    function = should_be_zero2_fcn
  [../]
[]

[Functions]
  [./should_be_zero0_fcn]
    type = ParsedFunction
    expression = 'if(a<1E-1,0,a)'
    symbol_names = 'a'
    symbol_values = 'raw_f0'
  [../]
  [./should_be_zero1_fcn]
    type = ParsedFunction
    expression = 'if(a<1E-1,0,a)'
    symbol_names = 'a'
    symbol_values = 'raw_f1'
  [../]
  [./should_be_zero2_fcn]
    type = ParsedFunction
    expression = 'if(a<1E-1,0,a)'
    symbol_names = 'a'
    symbol_values = 'raw_f2'
  [../]
[]

[UserObjects]
  [./hard]
    type = SolidMechanicsHardeningCubic
    value_0 = 1E6
    value_residual = 0
    internal_limit = 1
  [../]
  [./tensile]
    type = SolidMechanicsPlasticTensileMulti
    tensile_strength = hard
    yield_function_tolerance = 1.0E-1
    shift = 1.0E-1
    internal_constraint_tolerance = 1.0E-7
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    block = 0
    fill_method = symmetric_isotropic
    C_ijkl = '1E9 1.3E9'
  [../]
  [./multi]
    type = ComputeMultiPlasticityStress
    block = 0
    deactivation_scheme = 'safe_to_dumb'
    ep_plastic_tolerance = 1E-7
    plastic_models = 'tensile'
    max_NR_iterations = 5
    min_stepsize = 1E-3
    max_stepsize_for_dumb = 1
    debug_fspb = crash
    debug_jac_at_stress = '10 0 0 0 10 0 0 0 10'
    debug_jac_at_pm = '1 1 1'
    debug_jac_at_intnl = '1 1 1'
    debug_stress_change = 1E1
    debug_pm_change = '1E-6 1E-6 1E-6'
    debug_intnl_change = '1E-6 1E-6 1E-6'
  [../]
[]


[Executioner]
  end_time = 1
  dt = 1
  type = Transient
[]


[Outputs]
  file_base = random_planar
  exodus = false
  [./csv]
    type = CSV
    [../]
[]

(modules/contact/test/tests/pdass_problems/cylinder_friction_penalty_normal_al.i)

[GlobalParams]
  volumetric_locking_correction = true
  displacements = 'disp_x disp_y'
[]

[Mesh]
  [input_file]
    type = FileMeshGenerator
    file = hertz_cyl_finer.e
  []
  [secondary]
    type = LowerDBlockFromSidesetGenerator
    new_block_id = 10001
    new_block_name = 'secondary_lower'
    sidesets = '3'
    input = input_file
  []
  [primary]
    type = LowerDBlockFromSidesetGenerator
    new_block_id = 10000
    sidesets = '2'
    new_block_name = 'primary_lower'
    input = secondary
  []
  allow_renumbering = false
[]

[Problem]
  type = AugmentedLagrangianContactFEProblem
  extra_tag_vectors = 'ref'
[]

[AuxVariables]
  [penalty_normal_pressure]
  []
  [accumulated_slip_one]
  []
  [tangential_vel_one]
  []
  [normal_gap]
  []
  [normal_lm]
  []
  [saved_x]
  []
  [saved_y]
  []
  [active]
  []
[]

[Functions]
  [disp_ramp_vert]
    type = PiecewiseLinear
    x = '0. 1. 3.5'
    y = '0. -0.020 -0.020'
  []
  [disp_ramp_horz]
    type = PiecewiseLinear
    x = '0. 1. 3.5'
    y = '0. 0.0 0.015'
  []
[]

[Physics/SolidMechanics/QuasiStatic/all]
  strain = FINITE
  add_variables = true
  save_in = 'saved_x saved_y'
  extra_vector_tags = 'ref'
  block = '1 2 3 4 5 6 7'
  generate_output = 'stress_xx stress_yy stress_xy'
[]

[AuxKernels]
  [penalty_normal_pressure]
    type = PenaltyMortarUserObjectAux
    variable = penalty_normal_pressure
    user_object = friction_uo
    contact_quantity = normal_pressure
    boundary = 3
  []
  [normal_lm]
    type = PenaltyMortarUserObjectAux
    variable = normal_lm
    user_object = friction_uo
    contact_quantity = normal_lm
    boundary = 3
  []
  [normal_gap]
    type = PenaltyMortarUserObjectAux
    variable = normal_gap
    user_object = friction_uo
    contact_quantity = normal_gap
    boundary = 3
  []
[]

[Postprocessors]
  [bot_react_x]
    type = NodalSum
    variable = saved_x
    boundary = 1
  []
  [bot_react_y]
    type = NodalSum
    variable = saved_y
    boundary = 1
  []
  [top_react_x]
    type = NodalSum
    variable = saved_x
    boundary = 4
  []
  [top_react_y]
    type = NodalSum
    variable = saved_y
    boundary = 4
  []
  [_dt]
    type = TimestepSize
  []
  [num_lin_it]
    type = NumLinearIterations
  []
  [num_nonlin_it]
    type = NumNonlinearIterations
  []
  [cumulative]
    type = CumulativeValuePostprocessor
    postprocessor = num_nonlin_it
  []
  [gap]
    type = SideExtremeValue
    value_type = min
    variable = normal_gap
    boundary = 3
  []
  [num_al]
    type = NumAugmentedLagrangeIterations
  []
  [active_set_size]
    type = NodalSum
    variable = active
  []
[]

[BCs]
  [side_x]
    type = DirichletBC
    variable = disp_y
    boundary = '1 2'
    value = 0.0
  []
  [bot_y]
    type = DirichletBC
    variable = disp_x
    boundary = '1 2'
    value = 0.0
  []
  [top_y_disp]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 4
    function = disp_ramp_vert
  []
  [top_x_disp]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 4
    function = disp_ramp_horz
  []
[]

[Materials]
  [stuff1_elas_tens]
    type = ComputeIsotropicElasticityTensor
    block = '1'
    youngs_modulus = 1e8
    poissons_ratio = 0.0
  []
  [stuff1_stress]
    type = ComputeFiniteStrainElasticStress
    block = '1'
  []
  [stuff2_elas_tens]
    type = ComputeIsotropicElasticityTensor
    block = '2 3 4 5 6 7'
    youngs_modulus = 1e6
    poissons_ratio = 0.3
  []
  [stuff2_stress]
    type = ComputeFiniteStrainElasticStress
    block = '2 3 4 5 6 7'
  []
[]

[Executioner]
  type = Transient
  solve_type = 'NEWTON'

  petsc_options = '-snes_ksp_ew'
  petsc_options_iname = -pc_type
  petsc_options_value = lu
  line_search = 'none'

  nl_abs_tol = 1e-10
  nl_rel_tol = 1e-8
  nl_max_its = 1300
  l_tol = 1e-05
  l_abs_tol = 1e-13

  start_time = 0.0
  end_time = 0.2 # 3.5

  dt = 0.1
  dtmin = 0.001
  [Predictor]
    type = SimplePredictor
    scale = 1.0
  []

  automatic_scaling = true
[]

[Preconditioning]
  [SMP]
    type = SMP
    full = true
  []
[]

[VectorPostprocessors]
  [surface]
    type = NodalValueSampler
    use_displaced_mesh = false
    variable = 'disp_x disp_y penalty_normal_pressure  normal_gap'
    boundary = '3'
    sort_by = id
  []
[]

[Outputs]
  print_linear_residuals = true
  perf_graph = true
  exodus = true
  csv = false
  [vectorpp_output]
    type = CSV
    create_final_symlink = true
    execute_on = 'INITIAL TIMESTEP_END FINAL'
  []
[]

[UserObjects]
  [friction_uo]
    type = PenaltyWeightedGapUserObject
    primary_boundary = '2'
    secondary_boundary = '3'
    primary_subdomain = '10000'
    secondary_subdomain = '10001'
    disp_x = disp_x
    disp_y = disp_y
    penalty = 1e7
    penetration_tolerance = 1e-12
    use_physical_gap = true
  []
[]

[Constraints]
  [x]
    type = NormalMortarMechanicalContact
    primary_boundary = '2'
    secondary_boundary = '3'
    primary_subdomain = '10000'
    secondary_subdomain = '10001'
    secondary_variable = disp_x
    component = x
    use_displaced_mesh = true
    compute_lm_residuals = false
    weighted_gap_uo = friction_uo
  []
  [y]
    type = NormalMortarMechanicalContact
    primary_boundary = '2'
    secondary_boundary = '3'
    primary_subdomain = '10000'
    secondary_subdomain = '10001'
    secondary_variable = disp_y
    component = y
    use_displaced_mesh = true
    compute_lm_residuals = false
    weighted_gap_uo = friction_uo
  []
[]

(modules/solid_mechanics/test/tests/smeared_cracking/cracking_rotation.i)

# This test is to ensure that the smeared cracking model correctly handles finite
# rotation of cracked elements.

# This consists of a single element that is first  subjected to tensile loading
# in the y-direction via a prescribed displacement. This loading is sufficiently
# high to crack the material in that direction, but not completely unload. The
# prescribed displacement is then reversed so that the element is returned to its
# original configuration.

# In the next phase of the analysis, this element is then rotated 90 degrees by
# prescribing the displacement of the bottom of the element. The prescribed
# displacement BC used to crack the element in the first phase is deactivated.

# Once the element is fully rotated, a new BC is activated on what was originally
# the top surface (but is now the surface on the right hand side) to pull in
# the x-direction.

# If everything is working correctly, the model should re-load on the original
# crack (which should be rotated along with the elemnent) up to the peak stress
# in the first phase of the analysis, and then continue the unloading process
# as the crack strains continue to increase. Throughout this analysis, there should
# only be a single crack, as manifested in the crack_flags variables.

[Mesh]
  file = cracking_test.e
[]

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]

[Physics/SolidMechanics/QuasiStatic]
  [./all]
    strain = FINITE
    add_variables = true
    generate_output = 'stress_xx stress_yy stress_zz stress_xy stress_yz stress_zx'
  [../]
[]

[AuxVariables]
  [./crack_flags1]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./crack_flags2]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./crack_flags3]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]

[AuxKernels]
  [./crack_flags1]
    type = MaterialRealVectorValueAux
    property = crack_flags
    variable = crack_flags1
    component = 0
  [../]
  [./crack_flags2]
    type = MaterialRealVectorValueAux
    property = crack_flags
    variable = crack_flags2
    component = 1
  [../]
  [./crack_flags3]
    type = MaterialRealVectorValueAux
    property = crack_flags
    variable = crack_flags3
    component = 2
  [../]
[]

[BCs]
  [./x_pin]
    type = DirichletBC
    variable = disp_x
    boundary = '15 16'
    value = 0.0
  [../]
  [./y_pin]
    type = DirichletBC
    variable = disp_y
    boundary = '15 16'
    value = 0.0
  [../]
  [./z_all]
    type = DirichletBC
    variable = disp_z
    boundary = '11 12 13 14 15 16 17 18'
    value = 0.0
  [../]
  [./x_lb]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = '11 12'
    function = 'if(t<10,0,if(t>=100,1,1-cos((t-10)*pi/180)))'
  [../]
  [./y_lb]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = '11 12'
    function = 'if(t<10,0,if(t>=100,1,sin((t-10)*pi/180)))'
  [../]
  [./x_lt]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = '13 14'
    function = '2+(t-100)*0.01'
  [../]
  [./x_rt]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = '17 18'
    function = '1+(t-100)*0.01'
  [../]
  [./top_pull]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = '13 14 17 18'
    function = 'if(t<5,t*0.01,0.05-(t-5)*0.01)'
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeIsotropicElasticityTensor
    youngs_modulus = 100.e9
    poissons_ratio = 0.
  [../]
  [./cracking_stress]
    type = ComputeSmearedCrackingStress
    shear_retention_factor = 0.1
    cracking_stress = 3.e9
    cracked_elasticity_type = FULL
    softening_models = exponential_softening
  [../]
  [./exponential_softening]
    type = ExponentialSoftening
  [../]
[]

[Executioner]
  type = Transient

  petsc_options_iname = '-ksp_gmres_restart -pc_type'
  petsc_options_value = '101                lu'
  line_search = 'none'

  l_max_its = 100
  l_tol = 1e-5

  nl_max_its = 100
  nl_abs_tol = 1e-5
  nl_rel_tol = 1e-12

  start_time = 0
  end_time = 110
  dt = 1
[]

[Controls]
  [./p1]
    type = TimePeriod
    start_time = 0.0
    end_time = 10.0
    disable_objects = 'BCs/x_lt BCs/x_rt'
    enable_objects = 'BCs/top_pull'
    reverse_on_false = false
    execute_on = 'initial timestep_begin'
  [../]
  [./p2]
    type = TimePeriod
    start_time = 10.0
    end_time = 101.0
    disable_objects = 'BCs/x_lt BCs/x_rt BCs/top_pull'
    reverse_on_false = false
    execute_on = 'initial timestep_begin'
  [../]
  [./p3]
    type = TimePeriod
    start_time = 101.0
    end_time = 110.0
    enable_objects = 'BCs/x_lt BCs/x_rt'
    disable_objects = 'BCs/top_pull'
    reverse_on_false = false
    execute_on = 'initial timestep_begin'
  [../]
[]

[Outputs]
  exodus = true
[]

(modules/contact/test/tests/simple_contact/two_block_compress/two_equal_blocks_compress_2d.i)

[GlobalParams]
  displacements = 'disp_x disp_y'
  volumetric_locking_correction = true
[]

[Mesh]
  [left_block]
    type = GeneratedMeshGenerator
    dim = 2
    xmin = -1.0
    xmax = 0.0
    ymin = -0.5
    ymax = 0.5
    nx = 4
    ny = 4
    elem_type = QUAD4
  []
  [left_block_sidesets]
    type = RenameBoundaryGenerator
    input = left_block
    old_boundary = '0 1 2 3'
    new_boundary = '10 11 12 13'
  []
  [left_block_id]
    type = SubdomainIDGenerator
    input = left_block_sidesets
    subdomain_id = 1
  []

  [right_block]
    type = GeneratedMeshGenerator
    dim = 2
    xmin = 0.0
    xmax = 1.0
    ymin = -0.5
    ymax = 0.5
    nx = 5
    ny = 5
    elem_type = QUAD4
  []
  [right_block_sidesets]
    type = RenameBoundaryGenerator
    input = right_block
    old_boundary = '0 1 2 3'
    new_boundary = '20 21 22 23'
  []
  [right_block_id]
    type = SubdomainIDGenerator
    input = right_block_sidesets
    subdomain_id = 2
  []

  [combined_mesh]
    type = MeshCollectionGenerator
    inputs = 'left_block_id right_block_id'
  []

  [left_lower]
    type = LowerDBlockFromSidesetGenerator
    input = combined_mesh
    sidesets = '11'
    new_block_id = '10001'
    new_block_name = 'secondary_lower'
  []
  [right_lower]
    type = LowerDBlockFromSidesetGenerator
    input = left_lower
    sidesets = '23'
    new_block_id = '10000'
    new_block_name = 'primary_lower'
  []
[]

[Variables]
  [normal_lm]
    block = 'secondary_lower'
    use_dual = true
  []
[]

[Physics/SolidMechanics/QuasiStatic]
  [all]
    strain = FINITE
    incremental = true
    add_variables = true
    block = '1 2'
  []
[]

[Functions]
  [horizontal_movement]
    type = PiecewiseLinear
    x = '0 1.0'
    y = '0 0.4'
  []
  [vertical_movement]
    type = PiecewiseLinear
    x = '0 1.0'
    y = '0 0'
  []
[]

[BCs]
  [push_left_x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 13
    function = horizontal_movement
  []
  [fix_right_x]
    type = DirichletBC
    variable = disp_x
    boundary = 21
    value = 0.0
  []
  [fix_right_y]
    type = DirichletBC
    variable = disp_y
    boundary = 21
    value = 0.0
  []
  [push_left_y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 13
    function = vertical_movement
  []
[]

[Materials]
  [elasticity_tensor_left]
    type = ComputeIsotropicElasticityTensor
    block = 1
    youngs_modulus = 1.0e6
    poissons_ratio = 0.3
  []
  [stress_left]
    type = ComputeFiniteStrainElasticStress
    block = 1
  []

  [elasticity_tensor_right]
    type = ComputeIsotropicElasticityTensor
    block = 2
    youngs_modulus = 1.0e6
    poissons_ratio = 0.3
  []
  [stress_right]
    type = ComputeFiniteStrainElasticStress
    block = 2
  []
[]

[UserObjects]
  [weighted_gap_uo]
    type = LMWeightedGapUserObject
    primary_boundary = '23'
    secondary_boundary = '11'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    correct_edge_dropping = true
    lm_variable = normal_lm
    disp_x = disp_x
    disp_y = disp_y
  []
[]

[Constraints]
  [normal_lm]
    type = ComputeWeightedGapLMMechanicalContact
    primary_boundary = '23'
    secondary_boundary = '11'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    variable = normal_lm
    disp_x = disp_x
    disp_y = disp_y
    use_displaced_mesh = true
    correct_edge_dropping = true
    weighted_gap_uo = weighted_gap_uo
  []
  [normal_x]
    type = NormalMortarMechanicalContact
    primary_boundary = '23'
    secondary_boundary = '11'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    variable = normal_lm
    secondary_variable = disp_x
    component = x
    use_displaced_mesh = true
    compute_lm_residuals = false
    correct_edge_dropping = true
    weighted_gap_uo = weighted_gap_uo
  []
  [normal_y]
    type = NormalMortarMechanicalContact
    primary_boundary = '23'
    secondary_boundary = '11'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    variable = normal_lm
    secondary_variable = disp_y
    component = y
    use_displaced_mesh = true
    compute_lm_residuals = false
    correct_edge_dropping = true
    weighted_gap_uo = weighted_gap_uo
  []
[]

[Preconditioning]
  [SMP]
    type = SMP
    full = true
  []
[]

[Executioner]
  type = Transient
  solve_type = 'PJFNK'

  petsc_options_iname = '-pc_type -pc_factor_mat_solver_type -pc_factor_shift_type '
                        '-pc_factor_shift_amount'
  petsc_options_value = 'lu    superlu_dist nonzero 1e-10'

  line_search = 'none'

  dt = 0.1
  dtmin = 0.01
  end_time = 1.0

  l_max_its = 20

  nl_max_its = 20
  nl_rel_tol = 1e-8
  nl_abs_tol = 1e-10
[]

[Outputs]
  csv = true
  execute_on = 'FINAL'
[]

[Postprocessors]
  [contact]
    type = ContactDOFSetSize
    variable = normal_lm
    subdomain = 'secondary_lower'
  []
  [normal_lm]
    type = ElementAverageValue
    variable = normal_lm
    block = 'secondary_lower'
  []
  [avg_disp_x]
    type = ElementAverageValue
    variable = disp_x
    block = '1 2'
  []
  [avg_disp_y]
    type = ElementAverageValue
    variable = disp_y
    block = '1 2'
  []
  [max_disp_x]
    type = ElementExtremeValue
    variable = disp_x
    block = '1 2'
  []
  [max_disp_y]
    type = ElementExtremeValue
    variable = disp_y
    block = '1 2'
  []
  [min_disp_x]
    type = ElementExtremeValue
    variable = disp_x
    block = '1 2'
    value_type = min
  []
  [min_disp_y]
    type = ElementExtremeValue
    variable = disp_y
    block = '1 2'
    value_type = min
  []
[]

(modules/peridynamics/test/tests/simple_tests/2D_irregularD_variableH_BPD.i)

# Test for bond-based peridynamic formulation
# for irregular grid from file mesh with varying bond constants

# Square plate with Dirichlet boundary conditions applied
# at the left, top and bottom edges

[GlobalParams]
  displacements = 'disp_x disp_y'
[]

[Mesh]
  type = PeridynamicsMesh
  horizon_number = 3

  [./fmg]
    type = FileMeshGenerator
    file = square.e
  [../]
  [./gpd]
    type = MeshGeneratorPD
    input = fmg
    retain_fe_mesh = false
  [../]
[]

[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
[]

[BCs]
  [./left_x]
    type = DirichletBC
    variable = disp_x
    boundary = 1001
    value = 0.0
  [../]
  [./top_y]
    type = DirichletBC
    variable = disp_y
    boundary = 1004
    value = 0.0
  [../]
  [./bottom_y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 1002
    function = '-0.001*t'
  [../]
[]

[Modules/Peridynamics/Mechanics/Master]
  [./all]
    formulation = BOND
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeIsotropicElasticityTensor
    youngs_modulus = 2e5
    poissons_ratio = 0.33
  [../]

  [./force_density]
    type = ComputeSmallStrainVariableHorizonMaterialBPD
  [../]
[]

[Preconditioning]
  [./SMP]
    type = SMP
    full = true
  [../]
[]

[Executioner]
  type = Transient
  solve_type = PJFNK
  line_search = none
  start_time = 0
  end_time = 1
[]

[Outputs]
  file_base = 2D_irregularD_variableH_BPD
  exodus = true
[]

(modules/solid_mechanics/test/tests/dynamics/wave_1D/wave_newmark.i)

# Wave propogation in 1D using Newmark time integration
#
# The test is for an 1D bar element of length 4m  fixed on one end
# with a sinusoidal pulse dirichlet boundary condition applied to the other end.
# beta and gamma are Newmark time integration parameters
# The equation of motion in terms of matrices is:
#
# M*accel +  K*disp = 0
#
# Here M is the mass matrix, K is the stiffness matrix
#
# This equation is equivalent to:
#
# density*accel + Div Stress= 0
#
# The first term on the left is evaluated using the Inertial force kernel
# The last term on the left is evaluated using StressDivergenceTensors
#
# The displacement at the second, third and fourth node at t = 0.1 are
# -8.021501116638234119e-02, 2.073994362053969628e-02 and  -5.045094181261772920e-03, respectively

[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 4
  nz = 1
  xmin = 0.0
  xmax = 0.1
  ymin = 0.0
  ymax = 4.0
  zmin = 0.0
  zmax = 0.1
[]


[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
[]

[AuxVariables]
  [./vel_x]
  [../]
  [./accel_x]
  [../]
  [./vel_y]
  [../]
  [./accel_y]
  [../]
  [./vel_z]
  [../]
  [./accel_z]
  [../]
  [./stress_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./strain_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]

[]

[Kernels]
  [SolidMechanics]
    displacements = 'disp_x disp_y disp_z'
  [../]
  [./inertia_x]
    type = InertialForce
    variable = disp_x
    velocity = vel_x
    acceleration = accel_x
    beta = 0.3025
    gamma = 0.6
    eta=0.0
  [../]
  [./inertia_y]
    type = InertialForce
    variable = disp_y
    velocity = vel_y
    acceleration = accel_y
    beta = 0.3025
    gamma = 0.6
    eta=0.0
  [../]
  [./inertia_z]
    type = InertialForce
    variable = disp_z
    velocity = vel_z
    acceleration = accel_z
    beta = 0.3025
    gamma = 0.6
    eta = 0.0
  [../]

[]

[AuxKernels]
  [./accel_x]
    type = NewmarkAccelAux
    variable = accel_x
    displacement = disp_x
    velocity = vel_x
    beta = 0.3025
    execute_on = timestep_end
  [../]
  [./vel_x]
    type = NewmarkVelAux
    variable = vel_x
    acceleration = accel_x
    gamma = 0.6
    execute_on = timestep_end
  [../]
  [./accel_y]
    type = NewmarkAccelAux
    variable = accel_y
    displacement = disp_y
    velocity = vel_y
    beta = 0.3025
    execute_on = timestep_end
  [../]
  [./vel_y]
    type = NewmarkVelAux
    variable = vel_y
    acceleration = accel_y
    gamma = 0.6
    execute_on = timestep_end
  [../]
  [./accel_z]
    type = NewmarkAccelAux
    variable = accel_z
    displacement = disp_z
    velocity = vel_z
    beta = 0.3025
    execute_on = timestep_end
  [../]
  [./vel_z]
    type = NewmarkVelAux
    variable = vel_z
    acceleration = accel_z
    gamma = 0.6
    execute_on = timestep_end
  [../]
  [./stress_yy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yy
    index_i = 0
    index_j = 1
  [../]
  [./strain_yy]
    type = RankTwoAux
    rank_two_tensor = total_strain
    variable = strain_yy
    index_i = 0
    index_j = 1
  [../]

[]


[BCs]
  [./top_y]
    type = DirichletBC
    variable = disp_y
    boundary = top
    value=0.0
  [../]
  [./top_x]
    type = DirichletBC
    variable = disp_x
    boundary = top
    value=0.0
  [../]
  [./top_z]
    type = DirichletBC
    variable = disp_z
    boundary = top
    value=0.0
  [../]
  [./right_x]
    type = DirichletBC
    variable = disp_x
    boundary = right
    value=0.0
  [../]
  [./right_z]
    type = DirichletBC
    variable = disp_z
    boundary = right
    value=0.0
  [../]
  [./left_x]
    type = DirichletBC
    variable = disp_x
    boundary = left
    value=0.0
  [../]
  [./left_z]
    type = DirichletBC
    variable = disp_z
    boundary = left
    value=0.0
  [../]
  [./front_x]
    type = DirichletBC
    variable = disp_x
    boundary = front
    value=0.0
  [../]
  [./front_z]
    type = DirichletBC
    variable = disp_z
    boundary = front
    value=0.0
  [../]
  [./back_x]
    type = DirichletBC
    variable = disp_x
    boundary = back
    value=0.0
  [../]
  [./back_z]
    type = DirichletBC
    variable = disp_z
    boundary = back
    value=0.0
  [../]
  [./bottom_x]
    type = DirichletBC
    variable = disp_x
    boundary = bottom
    value=0.0
  [../]
  [./bottom_z]
    type = DirichletBC
    variable = disp_z
    boundary = bottom
    value=0.0
  [../]
  [./bottom_y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = bottom
    function = displacement_bc
  [../]
[]

[Materials]
  [./Elasticity_tensor]
    type = ComputeElasticityTensor
    block = 0
    fill_method = symmetric_isotropic
    C_ijkl = '1 0'
  [../]

  [./strain]
    type = ComputeSmallStrain
    block = 0
    displacements = 'disp_x disp_y disp_z'
  [../]

  [./stress]
    type = ComputeLinearElasticStress
    block = 0
  [../]

  [./density]
    type = GenericConstantMaterial
    block = 0
    prop_names = 'density'
    prop_values = '1'
  [../]

[]

[Executioner]
  type = Transient
  start_time = 0
  end_time = 6.0
  l_tol = 1e-12
  nl_rel_tol = 1e-12
  dt = 0.1
[]


[Functions]
  [./displacement_bc]
    type = PiecewiseLinear
    data_file = 'sine_wave.csv'
    format = columns
  [../]

[]

[Postprocessors]
  [./_dt]
    type = TimestepSize
  [../]
  [./disp_1]
    type = NodalVariableValue
    nodeid = 1
    variable = disp_y
  [../]
  [./disp_2]
    type = NodalVariableValue
    nodeid = 3
    variable = disp_y
  [../]
  [./disp_3]
    type = NodalVariableValue
    nodeid = 10
    variable = disp_y
  [../]
  [./disp_4]
    type = NodalVariableValue
    nodeid = 14
    variable = disp_y
  [../]
[]

[Outputs]
  exodus = true
  perf_graph = true
[]

(modules/solid_mechanics/test/tests/lagrangian/cartesian/updated/convergence-auto/2D/dirichlet.i)

# Simple 2D plane strain test

[GlobalParams]
  displacements = 'disp_x disp_y'
  large_kinematics = true
  stabilize_strain = true
[]

[Variables]
  [disp_x]
  []
  [disp_y]
  []
[]

[Mesh]
  [msh]
    type = GeneratedMeshGenerator
    dim = 2
    nx = 4
    ny = 4
  []
[]

[ICs]
  [disp_x]
    type = RandomIC
    variable = disp_x
    min = -0.01
    max = 0.01
  []
  [disp_y]
    type = RandomIC
    variable = disp_y
    min = -0.01
    max = 0.01
  []
[]

[Kernels]
  [sdx]
    type = UpdatedLagrangianStressDivergence
    variable = disp_x
    component = 0
    use_displaced_mesh = true
  []
  [sdy]
    type = UpdatedLagrangianStressDivergence
    variable = disp_y
    component = 1
    use_displaced_mesh = true
  []
[]

[Functions]
  [pullx]
    type = ParsedFunction
    expression = '0.5 * t'
  []
  [pully]
    type = ParsedFunction
    expression = '-0.3 * t'
  []
[]

[BCs]
  [leftx]
    type = DirichletBC
    preset = true
    boundary = left
    variable = disp_x
    value = 0.0
  []
  [lefty]
    type = DirichletBC
    preset = true
    boundary = left
    variable = disp_y
    value = 0.0
  []
  [pull_x]
    type = FunctionDirichletBC
    boundary = right
    variable = disp_x
    function = pullx
    preset = true
  []
  [pull_y]
    type = FunctionDirichletBC
    boundary = top
    variable = disp_y
    function = pully
    preset = true
  []
[]

[Materials]
  [elastic_tensor]
    type = ComputeIsotropicElasticityTensor
    youngs_modulus = 100000.0
    poissons_ratio = 0.3
  []
  [compute_stress]
    type = ComputeLagrangianLinearElasticStress
  []
  [compute_strain]
    type = ComputeLagrangianStrain
  []
[]

[Preconditioning]
  [smp]
    type = SMP
    full = true
  []
[]

[Executioner]
  type = Transient

  solve_type = 'newton'
  line_search = none

  petsc_options_iname = '-pc_type'
  petsc_options_value = 'lu'

  l_max_its = 2
  l_tol = 1e-14
  nl_max_its = 15
  nl_rel_tol = 1e-10
  nl_abs_tol = 1e-12

  start_time = 0.0
  dt = 0.2
  dtmin = 0.2
  end_time = 0.2
[]

(modules/solid_mechanics/test/tests/mean_cap_TC/small_deform3.i)

# apply nonuniform compression in x, y and z directions such that
# trial_stress(0, 0) = 2
# trial_stress(1, 1) = -8
# trial_stress(2, 2) = -10
# With compressive_strength = -1, the algorithm should return to trace(stress) = -1, or
# stress(0, 0) = 7
# stress(1, 1) = -3
# stress(2, 2) = -5

[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]


[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
[]

[Kernels]
  [SolidMechanics]
    displacements = 'disp_x disp_y disp_z'
  [../]
[]


[BCs]
  [./x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'front back'
    function = '1E-7*x'
  [../]
  [./y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'front back'
    function = '-4E-7*y'
  [../]
  [./z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'front back'
    function = '-5E-7*z'
  [../]
[]

[AuxVariables]
  [./stress_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]

[AuxKernels]
  [./stress_xx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xx
    index_i = 0
    index_j = 0
  [../]
  [./stress_xy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xy
    index_i = 0
    index_j = 1
  [../]
  [./stress_xz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xz
    index_i = 0
    index_j = 2
  [../]
  [./stress_yy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yy
    index_i = 1
    index_j = 1
  [../]
  [./stress_yz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yz
    index_i = 1
    index_j = 2
  [../]
  [./stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zz
    index_i = 2
    index_j = 2
  [../]
  [./f]
    type = MaterialStdVectorAux
    index = 0
    property = plastic_yield_function
    variable = f
  [../]
[]

[Postprocessors]
  [./s_xx]
    type = PointValue
    point = '0 0 0'
    variable = stress_xx
  [../]
  [./s_xy]
    type = PointValue
    point = '0 0 0'
    variable = stress_xy
  [../]
  [./s_xz]
    type = PointValue
    point = '0 0 0'
    variable = stress_xz
  [../]
  [./s_yy]
    type = PointValue
    point = '0 0 0'
    variable = stress_yy
  [../]
  [./s_yz]
    type = PointValue
    point = '0 0 0'
    variable = stress_yz
  [../]
  [./s_zz]
    type = PointValue
    point = '0 0 0'
    variable = stress_zz
  [../]
  [./f]
    type = PointValue
    point = '0 0 0'
    variable = f
  [../]
[]

[UserObjects]
  [./tensile_strength]
    type = SolidMechanicsHardeningConstant
    value = 2
  [../]
  [./compressive_strength]
    type = SolidMechanicsHardeningConstant
    value = -1
  [../]
  [./cap]
    type = SolidMechanicsPlasticMeanCapTC
    tensile_strength = tensile_strength
    compressive_strength = compressive_strength
    yield_function_tolerance = 1E-3
    internal_constraint_tolerance = 1E-9
    use_custom_returnMap = false
    use_custom_cto = false
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    block = 0
    fill_method = symmetric_isotropic
    C_ijkl = '0 1E7'
  [../]
  [./strain]
    type = ComputeIncrementalStrain
    block = 0
    displacements = 'disp_x disp_y disp_z'
  [../]
  [./mean_cap]
    type = ComputeMultiPlasticityStress
    block = 0
    ep_plastic_tolerance = 1E-9
    plastic_models = cap
  [../]
[]


[Executioner]
  end_time = 1
  dt = 1
  type = Transient
[]


[Outputs]
  file_base = small_deform3
  exodus = false
  [./csv]
    type = CSV
  [../]
[]

(modules/contact/test/tests/nodal_area/nodal_area_Hex20.i)

[Mesh]
  file = nodal_area_Hex20.e
[]

[GlobalParams]
  order = SECOND
  displacements = 'displ_x displ_y displ_z'
[]

[Functions]
  [./disp]
    type = PiecewiseLinear
    x = '0     1'
    y = '0  20e-6'
  [../]
[]

[Variables]
  [./displ_x]
  [../]
  [./displ_y]
  [../]
  [./displ_z]
  [../]
[]

[AuxVariables]
  [./react_x]
  [../]
  [./react_y]
  [../]
  [./react_z]
  [../]
[]

[Physics/SolidMechanics/QuasiStatic]
  [./all]
    incremental = true
    save_in = 'react_x react_y react_z'
    add_variables = true
    strain = FINITE
    generate_output = 'stress_xx'
  [../]
[]

[BCs]
  [./move_right]
    type = FunctionDirichletBC
    boundary = '1'
    variable = displ_x
    function = disp
  [../]

  [./fixed_x]
    type = DirichletBC
    boundary = '3 4'
    variable = displ_x
    value = 0
  [../]

  [./fixed_y]
    type = DirichletBC
    boundary = 10
    variable = displ_y
    value = 0
  [../]

  [./fixed_z]
    type = DirichletBC
    boundary = 11
    variable = displ_z
    value = 0
  [../]
[]

[Contact]
  [./dummy_name]
    primary = 3
    secondary = 2
    penalty = 1e7
    tangential_tolerance = 1e-5
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeIsotropicElasticityTensor
    block = '1 2'
    youngs_modulus = 1e6
    poissons_ratio = 0.0
  [../]

  [./stress]
    type = ComputeFiniteStrainElasticStress
    block = '1 2'
  [../]
[]

[Executioner]
  type = Transient
  solve_type = 'PJFNK'

  petsc_options_iname = '-ksp_gmres_restart -pc_type -pc_hypre_type -pc_hypre_boomeramg_max_iter'
  petsc_options_value = '201                hypre    boomeramg      4'

  line_search = 'none'
  nl_rel_tol = 1e-9
  l_tol = 1e-4
  l_max_its = 40

  start_time = 0.0
  dt = 1.0
  end_time = 1.0

  [./Quadrature]
    order = THIRD
  [../]
[]

[Postprocessors]
  [./react_x]
    type = NodalSum
    variable = react_x
    boundary = 1
    execute_on = 'initial timestep_end'
  [../]
  [./total_area]
    type = NodalSum
    variable = nodal_area
    boundary = 2
    execute_on = 'initial timestep_end'
  [../]
[]

[Outputs]
  exodus = true
[]

(modules/contact/test/tests/3d-mortar-contact/frictionless-mortar-3d-action.i)

starting_point = 0.25
offset = 0.00

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
  diffusivity = 1e0
  scaling = 1e0
[]

[Mesh]
  [top_block]
    type = GeneratedMeshGenerator
    dim = 3
    nx = 3
    ny = 3
    nz = 3
    xmin = -0.25
    xmax = 0.25
    ymin = -0.25
    ymax = 0.25
    zmin = -0.25
    zmax = 0.25
    elem_type = HEX8
  []
  [rotate_top_block]
    type = TransformGenerator
    input = top_block
    transform = ROTATE
    vector_value = '0 0 0'
  []
  [top_block_sidesets]
    type = RenameBoundaryGenerator
    input = rotate_top_block
    old_boundary = '0 1 2 3 4 5'
    new_boundary = 'top_bottom top_back top_right top_front top_left top_top'
  []
  [top_block_id]
    type = SubdomainIDGenerator
    input = top_block_sidesets
    subdomain_id = 1
  []
  [bottom_block]
    type = GeneratedMeshGenerator
    dim = 3
    nx = 10
    ny = 10
    nz = 2
    xmin = -.5
    xmax = .5
    ymin = -.5
    ymax = .5
    zmin = -.3
    zmax = -.25
    elem_type = HEX8
  []
  [bottom_block_id]
    type = SubdomainIDGenerator
    input = bottom_block
    subdomain_id = 2
  []
  [bottom_block_change_boundary_id]
    type = RenameBoundaryGenerator
    input = bottom_block_id
    old_boundary = '0 1 2 3 4 5'
    new_boundary = '100 101 102 103 104 105'
  []
  [combined]
    type = MeshCollectionGenerator
    inputs = 'top_block_id bottom_block_change_boundary_id'
  []
  [block_rename]
    type = RenameBlockGenerator
    input = combined
    old_block = '1 2'
    new_block = 'top_block bottom_block'
  []
  [bottom_right_sideset]
    type = SideSetsAroundSubdomainGenerator
    input = block_rename
    new_boundary = bottom_right
    block = bottom_block
    normal = '1 0 0'
  []
  [bottom_left_sideset]
    type = SideSetsAroundSubdomainGenerator
    input = bottom_right_sideset
    new_boundary = bottom_left
    block = bottom_block
    normal = '-1 0 0'
  []
  [bottom_top_sideset]
    type = SideSetsAroundSubdomainGenerator
    input = bottom_left_sideset
    new_boundary = bottom_top
    block = bottom_block
    normal = '0 0 1'
  []
  [bottom_bottom_sideset]
    type = SideSetsAroundSubdomainGenerator
    input = bottom_top_sideset
    new_boundary = bottom_bottom
    block = bottom_block
    normal = '0  0 -1'
  []
  [bottom_front_sideset]
    type = SideSetsAroundSubdomainGenerator
    input = bottom_bottom_sideset
    new_boundary = bottom_front
    block = bottom_block
    normal = '0 1 0'
  []
  [bottom_back_sideset]
    type = SideSetsAroundSubdomainGenerator
    input = bottom_front_sideset
    new_boundary = bottom_back
    block = bottom_block
    normal = '0 -1 0'
  []
[]

[Variables]
  [disp_x]
    block = '1 2'
  []
  [disp_y]
    block = '1 2'
  []
  [disp_z]
    block = '1 2'
  []
[]

[ICs]
  [disp_z]
    block = 1
    variable = disp_z
    value = '${fparse offset}'
    type = ConstantIC
  []
  [disp_x]
    block = 1
    variable = disp_x
    value = 0
    type = ConstantIC
  []
  [disp_y]
    block = 1
    variable = disp_y
    value = 0
    type = ConstantIC
  []
[]

[Kernels]
  [disp_x]
    type = MatDiffusion
    variable = disp_x
  []
  [disp_y]
    type = MatDiffusion
    variable = disp_y
  []
  [disp_z]
    type = MatDiffusion
    variable = disp_z
  []
[]

[Contact]
  [mortar]
    primary = 'bottom_top'
    secondary = 'top_bottom'
    formulation = mortar
    model = frictionless
  []
[]

[BCs]
  [botx]
    type = DirichletBC
    variable = disp_x
    boundary = 'bottom_left bottom_right bottom_front bottom_back'
    value = 0.0
  []
  [boty]
    type = DirichletBC
    variable = disp_y
    boundary = 'bottom_left bottom_right bottom_front bottom_back'
    value = 0.0
  []
  [botz]
    type = DirichletBC
    variable = disp_z
    boundary = 'bottom_left bottom_right bottom_front bottom_back'
    value = 0.0
  []
  [topx]
    type = DirichletBC
    variable = disp_x
    boundary = 'top_top'
    value = 0.0
  []
  [topy]
    type = DirichletBC
    variable = disp_y
    boundary = 'top_top'
    value = 0.0
  []
  [topz]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'top_top'
    function = '-${starting_point} * sin(2 * pi / 40 * t) + ${offset}'
  []
[]

[Executioner]
  type = Transient
  end_time = 1
  dt = .5
  dtmin = .01
  solve_type = 'PJFNK'
  petsc_options = '-snes_converged_reason -ksp_converged_reason -pc_svd_monitor '
                  '-snes_linesearch_monitor'
  petsc_options_iname = '-pc_type -pc_factor_mat_solver_type -pc_factor_shift_type -pc_factor_shift_amount -mat_mffd_err'
  petsc_options_value = 'lu       superlu_dist                  NONZERO               1e-15                   1e-5'
  l_max_its = 100
  nl_max_its = 30
  nl_abs_tol = 1e-12
  nl_rel_tol = 1e-9
  line_search = 'none'
  snesmf_reuse_base = false
[]

[Debug]
  show_var_residual_norms = true
[]

[Outputs]
  exodus = true
  csv = true
[]

[Preconditioning]
  [smp]
    type = SMP
    full = true
  []
[]

[Postprocessors]
  active = 'num_nl cumulative contact'
  [num_nl]
    type = NumNonlinearIterations
  []
  [cumulative]
    type = CumulativeValuePostprocessor
    postprocessor = num_nl
  []
  [contact]
    type = ContactDOFSetSize
    variable = mortar_normal_lm
    subdomain = 'mortar_secondary_subdomain'
    execute_on = 'nonlinear timestep_end'
  []
  [lambda]
    type = ElementAverageValue
    variable = mortar_normal_lm
    block = 'mortar_secondary_subdomain'
  []
[]

[VectorPostprocessors]
  [contact-pressure]
    type = NodalValueSampler
    block = mortar_secondary_subdomain
    variable = mortar_normal_lm
    sort_by = 'id'
    execute_on = NONLINEAR

  []
[]

(test/tests/geomsearch/2d_moving_penetration/pl_test3q.i)

[GlobalParams]
  order = SECOND
  family = LAGRANGE
[]

[Mesh]
  file = pl_test3q.e
  displacements = 'disp_x disp_y'
[]

[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
[]

[AuxVariables]
  [./distance]
  [../]
  [./tangential_distance]
  [../]
  [./normal_x]
  [../]
  [./normal_y]
  [../]
  [./closest_point_x]
  [../]
  [./closest_point_y]
  [../]
  [./element_id]
  [../]
  [./side]
  [../]
[]

[Kernels]
  [./diff_x]
    type = Diffusion
    variable = disp_x
  [../]
  [./diff_y]
    type = Diffusion
    variable = disp_y
  [../]
[]

[AuxKernels]
  [./penetrate]
    type = PenetrationAux
    variable = distance
    boundary = 11            #secondary
    paired_boundary = 12     #primary
  [../]

  [./penetrate2]
    type = PenetrationAux
    variable = distance
    boundary = 12            #secondary
    paired_boundary = 11     #primary
  [../]

  [./penetrate3]
    type = PenetrationAux
    variable = tangential_distance
    boundary = 11
    paired_boundary = 12
    quantity = tangential_distance
  [../]

  [./penetrate4]
    type = PenetrationAux
    variable = tangential_distance
    boundary = 12
    paired_boundary = 11
    quantity = tangential_distance
  [../]

  [./penetrate5]
    type = PenetrationAux
    variable = normal_x
    boundary = 11
    paired_boundary = 12
    quantity = normal_x
  [../]

  [./penetrate6]
    type = PenetrationAux
    variable = normal_x
    boundary = 12
    paired_boundary = 11
    quantity = normal_x
  [../]

  [./penetrate7]
    type = PenetrationAux
    variable = normal_y
    boundary = 11
    paired_boundary = 12
    quantity = normal_y
  [../]

  [./penetrate8]
    type = PenetrationAux
    variable = normal_y
    boundary = 12
    paired_boundary = 11
    quantity = normal_y
  [../]

  [./penetrate9]
    type = PenetrationAux
    variable = closest_point_x
    boundary = 11
    paired_boundary = 12
    quantity = closest_point_x
  [../]

  [./penetrate10]
    type = PenetrationAux
    variable = closest_point_x
    boundary = 12
    paired_boundary = 11
    quantity = closest_point_x
  [../]

  [./penetrate11]
    type = PenetrationAux
    variable = closest_point_y
    boundary = 11
    paired_boundary = 12
    quantity = closest_point_y
  [../]

  [./penetrate12]
    type = PenetrationAux
    variable = closest_point_y
    boundary = 12
    paired_boundary = 11
    quantity = closest_point_y
  [../]

  [./penetrate13]
    type = PenetrationAux
    variable = element_id
    boundary = 11
    paired_boundary = 12
    quantity = element_id
  [../]

  [./penetrate14]
    type = PenetrationAux
    variable = element_id
    boundary = 12
    paired_boundary = 11
    quantity = element_id
  [../]

  [./penetrate15]
    type = PenetrationAux
    variable = side
    boundary = 11
    paired_boundary = 12
    quantity = side
  [../]

  [./penetrate16]
    type = PenetrationAux
    variable = side
    boundary = 12
    paired_boundary = 11
    quantity = side
  [../]
[]

[BCs]
  [./b1x]
    type = DirichletBC
    variable = disp_x
    boundary = 1
    value = 0
  [../]

  [./b1y]
    type = DirichletBC
    variable = disp_y
    boundary = 1
    value = 0
  [../]

  [./b2x]
    type = DirichletBC
    variable = disp_x
    boundary = 2
    value = 0
  [../]

  [./b2y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 2
    function = disp_y
  [../]
[]

[Functions]
  [./disp_y]
    type = PiecewiseLinear
    x = '0.0 0.25 0.75 1.0'
    y = '0.0 2.0 -2.0  0.0'
  [../]
[]

[Executioner]
  type = Transient

  solve_type = 'PJFNK'
  petsc_options = '-snes_ksp_ew'

  nl_rel_tol = 1.e-10
  l_max_its = 10

  start_time = 0.0
  dt = 0.02
  end_time = 1.0
  [./Quadrature]
    order = THIRD
  [../]
[]

[Outputs]
  file_base = pl_test3q_out
  exodus = true
[]

(modules/contact/test/tests/sliding_block/sliding/frictional_04_penalty.i)

#  This is a benchmark test that checks constraint based frictional
#  contact using the penalty method.  In this test a constant
#  displacement is applied in the horizontal direction to simulate
#  a small block come sliding down a larger block.
#
#  A friction coefficient of 0.4 is used.  The gold file is run on one processor
#  and the benchmark case is run on a minimum of 4 processors to ensure no
#  parallel variability in the contact pressure and penetration results.
#

[Mesh]
  file = sliding_elastic_blocks_2d.e
  patch_size = 80
[]

[GlobalParams]
  volumetric_locking_correction = false
  displacements = 'disp_x disp_y'
[]

[AuxVariables]
  [penetration]
  []
  [inc_slip_x]
  []
  [inc_slip_y]
  []
  [accum_slip_x]
  []
  [accum_slip_y]
  []
[]

[Functions]
  [vertical_movement]
    type = ParsedFunction
    expression = -t
  []
[]

[Physics/SolidMechanics/QuasiStatic]
  [all]
    add_variables = true
    strain = FINITE
  []
[]

[AuxKernels]
  [zeroslip_x]
    type = ConstantAux
    variable = inc_slip_x
    boundary = 3
    execute_on = timestep_begin
    value = 0.0
  []
  [zeroslip_y]
    type = ConstantAux
    variable = inc_slip_y
    boundary = 3
    execute_on = timestep_begin
    value = 0.0
  []
  [accum_slip_x]
    type = AccumulateAux
    variable = accum_slip_x
    accumulate_from_variable = inc_slip_x
    execute_on = timestep_end
  []
  [accum_slip_y]
    type = AccumulateAux
    variable = accum_slip_y
    accumulate_from_variable = inc_slip_y
    execute_on = timestep_end
  []
  [penetration]
    type = PenetrationAux
    variable = penetration
    boundary = 3
    paired_boundary = 2
  []
[]

[Postprocessors]
  [nonlinear_its]
    type = NumNonlinearIterations
    execute_on = timestep_end
  []
  [penetration]
    type = NodalVariableValue
    variable = penetration
    nodeid = 222
  []
  [contact_pressure]
    type = NodalVariableValue
    variable = contact_pressure
    nodeid = 222
  []
[]

[BCs]
  [left_x]
    type = DirichletBC
    variable = disp_x
    boundary = 1
    value = 0.0
  []
  [left_y]
    type = DirichletBC
    variable = disp_y
    boundary = 1
    value = 0.0
  []
  [right_x]
    type = DirichletBC
    variable = disp_x
    boundary = 4
    value = -0.02
  []
  [right_y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 4
    function = vertical_movement
  []
[]

[Materials]
  [left]
    type = ComputeIsotropicElasticityTensor
    block = '1 2'
    youngs_modulus = 1e6
    poissons_ratio = 0.3
  []
  [stress]
    type = ComputeFiniteStrainElasticStress
    block = '1 2'
  []
[]

[Executioner]
  type = Transient
  solve_type = 'PJFNK'

  petsc_options = '-snes_ksp_ew'
  petsc_options_iname = '-pc_type -pc_factor_mat_solver_type'
  petsc_options_value = 'lu     superlu_dist'

  line_search = 'none'

  l_max_its = 100
  nl_max_its = 1000
  dt = 0.1
  end_time = 14.99999
  num_steps = 1000
  l_tol = 1e-6
  nl_rel_tol = 1e-10
  nl_abs_tol = 1e-6
  dtmin = 0.01

  [Predictor]
    type = SimplePredictor
    scale = 1.0
  []
[]

[Outputs]
  time_step_interval = 10
  [out]
    type = Exodus
    elemental_as_nodal = true
  []
  [console]
    type = Console
    max_rows = 5
  []
[]

[Contact]
  [leftright]
    secondary = 3
    primary = 2
    model = coulomb
    penalty = 1e+6
    friction_coefficient = 0.4
    formulation = penalty
    normal_smoothing_distance = 0.1
  []
[]

(modules/navier_stokes/test/tests/auxkernels/reynolds-number-functor-aux/fe.i)

rho=1
mu=1

[GlobalParams]
  gravity = '0 0 0'
  pspg = true
[]

[Mesh]
  [gen]
    type = GeneratedMeshGenerator
    dim = 2
    nx = 10
    ny = 10
  []
  [corner_node]
    type = ExtraNodesetGenerator
    new_boundary = 'pinned_node'
    nodes = '0'
    input = gen
  []
[]

[AuxVariables]
  [Reynolds]
    family = MONOMIAL
    order = CONSTANT
  []
[]

[AuxKernels]
  [Reynolds]
    type = ReynoldsNumberFunctorAux
    variable = Reynolds
    speed = speed
    rho = ${rho}
    mu = ${mu}
  []
[]

[Variables]
  [vel_x]
  []
  [vel_y]
  []
  [p]
  []
[]

[Kernels]
  # mass
  [mass]
    type = INSMass
    variable = p
    u = vel_x
    v = vel_y
    pressure = p
  []
  # x-momentum, space
  [x_momentum_space]
    type = INSMomentumLaplaceForm
    variable = vel_x
    u = vel_x
    v = vel_y
    pressure = p
    component = 0
  []
  # y-momentum, space
  [y_momentum_space]
    type = INSMomentumLaplaceForm
    variable = vel_y
    u = vel_x
    v = vel_y
    pressure = p
    component = 1
  []
[]

[BCs]
  [x_no_slip]
    type = DirichletBC
    variable = vel_x
    boundary = 'bottom right left'
    value = 0.0
  []
  [lid]
    type = FunctionDirichletBC
    variable = vel_x
    boundary = 'top'
    function = 'lid_function'
  []
  [y_no_slip]
    type = DirichletBC
    variable = vel_y
    boundary = 'bottom right top left'
    value = 0.0
  []
  [pressure_pin]
    type = DirichletBC
    variable = p
    boundary = 'pinned_node'
    value = 0
  []
[]

[Materials]
  [const]
    type = GenericConstantMaterial
    block = 0
    prop_names = 'rho mu'
    prop_values = '${rho}  ${mu}'
  []
  [speed]
    type = ADVectorMagnitudeFunctorMaterial
    x_functor = vel_x
    y_functor = vel_y
    vector_magnitude_name = speed
  []
[]

[Functions]
  [lid_function]
    # We pick a function that is exactly represented in the velocity
    # space so that the Dirichlet conditions are the same regardless
    # of the mesh spacing.
    type = ParsedFunction
    expression = '4*x*(1-x)'
  []
[]

[Preconditioning]
  [SMP]
    type = SMP
    full = true
    solve_type = 'NEWTON'
  []
[]

[Executioner]
  type = Steady
  petsc_options_iname = '-pc_type -pc_asm_overlap -sub_pc_type'
  petsc_options_value = 'asm      2               lu'
  line_search = 'none'
  nl_rel_tol = 1e-12
[]

[Outputs]
  exodus = true
[]

(test/tests/time_steppers/timesequence_stepper/timesequence_failed_solve.i)

[Mesh]
  type = GeneratedMesh
  dim = 2
  xmin = -1
  xmax =  1
  ymin = -1
  ymax =  1
  nx = 2
  ny = 2
  elem_type = QUAD9
[]

[Functions]
  [./exact_fn]
    type = ParsedFunction
    expression = t*t*(x*x+y*y)
  [../]

  [./forcing_fn]
    type = ParsedFunction
    expression = 2*t*(x*x+y*y)-4*t*t
  [../]
[]

[Variables]
  [./u]
    family = LAGRANGE
    order = SECOND
  [../]
[]

[ICs]
  [./u_var]
    type = FunctionIC
    variable = u
    function = exact_fn
  [../]
[]

[Kernels]
  [./td]
    type = TimeDerivative
    variable = u
  [../]

  [./diff]
    type = Diffusion
    variable = u
  [../]

  [./ffn]
    type = BodyForce
    variable = u
    function = forcing_fn
  [../]
[]

[BCs]
  [./all]
    type = FunctionDirichletBC
    variable = u
    boundary = 'left right top bottom'
    function = exact_fn
  [../]
[]

[Executioner]
  type = Transient
  # This timestepper does not use dt to set the timestep, it uses the time_sequence.
  # dt = 250
  dtmin=250
  end_time = 3000.0
  [./TimeStepper]
    type = TimeSequenceStepperFailTest
    time_sequence  = '0  1000.0 2000.0'
  [../]
  nl_rel_tol=1.e-10
[]

[Outputs]
  file_base = timesequence_failed_solve
  exodus = true
[]

(modules/solid_mechanics/test/tests/drucker_prager/random_hyperbolic.i)

# drucker-prager hyperbolic.
# apply many random large deformations, checking that the algorithm returns correctly to
# the yield surface each time.


[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 100
  ny = 125
  nz = 1
  xmin = 0
  xmax = 100
  ymin = 0
  ymax = 125
  zmin = 0
  zmax = 1
[]


[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
[]

[Kernels]
  [SolidMechanics]
    displacements = 'disp_x disp_y disp_z'
  [../]
[]


[ICs]
  [./x]
    type = RandomIC
    min = -0.1
    max = 0.1
    variable = disp_x
  [../]
  [./y]
    type = RandomIC
    min = -0.1
    max = 0.1
    variable = disp_y
  [../]
  [./z]
    type = RandomIC
    min = -0.1
    max = 0.1
    variable = disp_z
  [../]
[]

[BCs]
  [./x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'front back'
    function = '0'
  [../]
  [./y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'front back'
    function = '0'
  [../]
  [./z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'front back'
    function = '0'
  [../]
[]

[AuxVariables]
  [./yield_fcn]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./iter]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]

[AuxKernels]
  [./yield_fcn_auxk]
    type = MaterialStdVectorAux
    index = 0
    property = plastic_yield_function
    variable = yield_fcn
  [../]
  [./iter]
    type = MaterialRealAux
    property = plastic_NR_iterations
    variable = iter
  [../]
[]

[Postprocessors]
  [./yield_fcn_at_zero]
    type = PointValue
    point = '0 0 0'
    variable = yield_fcn
    outputs = 'console'
  [../]
  [./should_be_zero]
    type = FunctionValuePostprocessor
    function = should_be_zero_fcn
  [../]
  [./av_iter]
    type = ElementAverageValue
    variable = iter
    outputs = 'console'
  [../]
[]

[Functions]
  [./should_be_zero_fcn]
    type = ParsedFunction
    expression = 'if(a<1E-3,0,a)'
    symbol_names = 'a'
    symbol_values = 'yield_fcn_at_zero'
  [../]
[]

[UserObjects]
  [./mc_coh]
    type = SolidMechanicsHardeningConstant
    value = 1E3
  [../]
  [./mc_phi]
    type = SolidMechanicsHardeningConstant
    value = 30
    convert_to_radians = true
  [../]
  [./mc_psi]
    type = SolidMechanicsHardeningConstant
    value = 5
    convert_to_radians = true
  [../]
  [./dp]
    type = SolidMechanicsPlasticDruckerPragerHyperbolic
    mc_cohesion = mc_coh
    mc_friction_angle = mc_phi
    mc_dilation_angle = mc_psi
    smoother = 0.1E3
    yield_function_tolerance = 1E-3
    internal_constraint_tolerance = 1E-6
    use_custom_returnMap = true
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    block = 0
    fill_method = symmetric_isotropic
    C_ijkl = '0.7E7 1E7'
  [../]
  [./strain]
    type = ComputeFiniteStrain
    block = 0
    displacements = 'disp_x disp_y disp_z'
  [../]
  [./dp]
    type = ComputeMultiPlasticityStress
    block = 0
    max_NR_iterations = 1000
    ep_plastic_tolerance = 1E-6
    min_stepsize = 1E-3
    plastic_models = dp
    debug_fspb = crash
    deactivation_scheme = safe
  [../]
[]


[Executioner]
  end_time = 1
  dt = 1
  type = Transient
[]


[Outputs]
  file_base = random_hyperbolic
  exodus = false
  [./csv]
    type = CSV
    [../]
[]

(test/tests/scaling/up-to-date-scale-factors/up-to-date-scale-factors.i)

[Mesh]
  type = GeneratedMesh
  dim = 1
  nx = 3
[]

[Variables]
  [u][]
[]

[Kernels]
  [diff]
    type = Diffusion
    variable = u
  []
[]

[BCs]
  [left]
    type = FunctionDirichletBC
    variable = u
    function = '2 * t'
    boundary = left
  []
  [right]
    type = DirichletBC
    variable = u
    value = 0
    boundary = right
  []
[]

[Executioner]
  type = Transient
  num_steps = 2
  automatic_scaling = true
  compute_scaling_once = false
  solve_type = NEWTON
  resid_vs_jac_scaling_param = 1 # Pure residual scaling
  verbose = true
[]

[Outputs]
  exodus = true
[]

(test/tests/userobjects/coupling_to_kernel/user_object_test.i)

[Mesh]
  type = GeneratedMesh
  dim = 2
  xmin = 0
  xmax = 1
  ymin = 0
  ymax = 1
  nx = 5
  ny = 5
  elem_type = QUAD4
[]

[UserObjects]
  [./ud]
    type = MTUserObject
    scalar = 2
    vector = '9 7 5'
  [../]
[]

[Functions]
  [./forcing_fn]
    type = ParsedFunction
    expression = -2
  [../]

  [./exact_fn]
    type = ParsedFunction
    expression = x*x
  [../]
[]

[Variables]
  [./u]
    family = LAGRANGE
    order = FIRST
  [../]
[]

[Kernels]
  [./diff]
    type = Diffusion
    variable = u
  [../]

  # this kernel will user user data object from above
  [./ffn]
    type = UserObjectKernel
    variable = u
    user_object = ud
  []
[]

[BCs]
  active = 'all'

  [./all]
    type = FunctionDirichletBC
    variable = u
    function = exact_fn
    boundary = '0 1 2 3'
  [../]
[]

[Executioner]
  type = Steady

  solve_type = 'PJFNK'
[]

[Outputs]
  execute_on = 'timestep_end'
  file_base = out
  exodus = true
[]

(modules/solid_mechanics/test/tests/1D_axisymmetric/axisymm_plane_strain_incremental.i)

#
# This test checks elastic stress calculations with mechanical and thermal
# strain using incremental small strain formulation. Young's modulus is 3600, and Poisson's ratio is 0.2.
# The axisymmetric, plane strain 1D mesh is pulled with 1e-6 strain.  Thus,
# the strain is [1e-6, 0, 1e-6] (xx, yy, zz).  This gives stress of
# [5e-3, 2e-3, 5e-3].  After a temperature increase of 100 with alpha of
# 1e-8, the stress becomes [-1e-3, -4e-3, -1e-3].
#

[GlobalParams]
  displacements = disp_x
[]

[Problem]
  coord_type = RZ
[]

[Mesh]
  file = line.e
[]

[Variables]
  [./disp_x]
  [../]
[]

[AuxVariables]
  [./temp]
    initial_condition = 580.0
  [../]
[]

[Functions]
  [./temp]
    type = PiecewiseLinear
    x = '0   1   2'
    y = '580 580 680'
  [../]
  [./disp_x]
    type = PiecewiseLinear
    x = '0 1'
    y = '0 2e-6'
  [../]
[]

[Physics]
  [SolidMechanics]
    [QuasiStatic]
      [./ps]
        planar_formulation = PLANE_STRAIN
        strain = SMALL
        incremental = true
        generate_output = 'strain_xx strain_zz stress_xx stress_yy stress_zz'
        eigenstrain_names = eigenstrain
      [../]
    [../]
  [../]
[]

[AuxKernels]
  [./temp]
    type = FunctionAux
    variable = temp
    function = temp
    execute_on = 'timestep_begin'
  [../]
[]

[BCs]
  [./no_x]
    type = DirichletBC
    boundary = 1
    value = 0
    variable = disp_x
  [../]
  [./disp_x]
    type = FunctionDirichletBC
    boundary = 2
    function = disp_x
    variable = disp_x
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeIsotropicElasticityTensor
    youngs_modulus = 3600
    poissons_ratio = 0.2
  [../]

  [./thermal_strain]
    type = ComputeThermalExpansionEigenstrain
    thermal_expansion_coeff = 1e-8
    temperature = temp
    stress_free_temperature = 580
    eigenstrain_name = eigenstrain
  [../]

  [./stress]
    type = ComputeStrainIncrementBasedStress
  [../]
[]

[Executioner]
  type = Transient
  solve_type = 'PJFNK'
  line_search = 'none'

  l_max_its = 50
  l_tol = 1e-6
  nl_max_its = 15
  nl_rel_tol = 1e-8
  nl_abs_tol = 1e-10
  start_time = 0
  end_time = 2
  num_steps = 2
[]

[Outputs]
  exodus = true
  console = true
[]

(modules/contact/test/tests/verification/patch_tests/automatic_patch_update/sliding_update.i)

[Mesh]
  file = sliding_update.e
  displacements = 'disp_x disp_y'
  patch_size = 5
[]

[Variables]
  [disp_x]
  []
  [disp_y]
  []
[]

[GlobalParams]
  displacements = 'disp_x disp_y'
[]

[Kernels]
  [TensorMechanics]
  []
[]

[Materials]
  [elasticity_tensor]
    type = ComputeIsotropicElasticityTensor
    youngs_modulus = 2e5
    poissons_ratio = 0.3
  []
  [strain]
    type = ComputeIncrementalStrain
  []
  [stress]
    type = ComputeFiniteStrainElasticStress
  []
[]

[Contact]
  [leftright]
    secondary = 3
    primary = 2
    normalize_penalty = true
    tangential_tolerance = 1e-3
    penalty = 1e+4
    model = frictionless
    formulation = penalty
  []
[]

[Executioner]
  type = Transient
  solve_type = 'PJFNK'
  start_time = 0
  end_time = 10.0
  l_tol = 1e-8
  nl_rel_tol = 1e-6
  nl_abs_tol = 1e-4
  dt = 2.0
  line_search = 'none'
  petsc_options_iname = '-pc_type -pc_factor_mat_solver_type'
  petsc_options_value = 'lu superlu_dist'
  timestep_tolerance = 1e-1
[]

[BCs]
  [fixed_1_2x]
    type = DirichletBC
    boundary = '1'
    value = 0.0
    variable = disp_x
  []
  [fixed_1_2y]
    type = DirichletBC
    boundary = '1'
    value = 0.0
    variable = disp_y
  []
  [sliding_1]
    type = FunctionDirichletBC
    function = sliding_fn
    variable = disp_x
    boundary = '4'
  []
  [normal_y]
    type = DirichletBC
    variable = disp_y
    boundary = '4'
    value = -0.01
  []
  #  [./Pressure]
  #    [./normal_pressure]
  #      disp_x = disp_x
  #      disp_y = disp_y
  #      factor = 100.0
  #      boundary = 4
  #    [../]
  #  [../]
[]

[Functions]
  [sliding_fn]
    type = ParsedFunction
    expression = 't'
  []
[]

[Outputs]
  exodus = true
  perf_graph = true
[]

(modules/solid_mechanics/test/tests/capped_mohr_coulomb/small_deform8.i)

# Using CappedMohrCoulomb with tensile failure only
# A single unit element is stretched by 1E-6m in z direction.
# with Lame lambda = 0.6E6 and Lame mu (shear) = 1E6
# stress_zz = 2.6 Pa
# stress_xx = 0.6 Pa
# stress_yy = 0.6 Pa
# tensile_strength is set to 0.5Pa
#
# stress_zz = 0.5
# plastic multiplier = 2.1/2.6 E-6
# stress_xx = 0.6 - (2.1/2.6*0.6) = 0.115
[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]

[Physics/SolidMechanics/QuasiStatic]
  [./all]
    add_variables = true
    incremental = true
    generate_output = 'max_principal_stress mid_principal_stress min_principal_stress stress_xx stress_xy stress_xz stress_yy stress_yz stress_zz'
  [../]
[]

[BCs]
  [./x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'front back'
    function = '0E-6*x'
  [../]
  [./y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'front back'
    function = '0E-6*y'
  [../]
  [./z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'front back'
    function = '1.0E-6*z'
  [../]
[]

[AuxVariables]
  [./f0]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f1]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f2]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./iter]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./intnl]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]

[AuxKernels]
  [./f0_auxk]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 0
    variable = f0
  [../]
  [./f1_auxk]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 1
    variable = f1
  [../]
  [./f2_auxk]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 2
    variable = f2
  [../]
  [./iter]
    type = MaterialRealAux
    property = plastic_NR_iterations
    variable = iter
  [../]
  [./intnl_auxk]
    type = MaterialStdVectorAux
    property = plastic_internal_parameter
    index = 0
    variable = intnl
  [../]
[]

[Postprocessors]
  [./s_I]
    type = PointValue
    point = '0 0 0'
    variable = max_principal_stress
  [../]
  [./s_II]
    type = PointValue
    point = '0 0 0'
    variable = mid_principal_stress
  [../]
  [./s_III]
    type = PointValue
    point = '0 0 0'
    variable = min_principal_stress
  [../]
  [./s_xx]
    type = PointValue
    point = '0 0 0'
    variable = stress_xx
  [../]
  [./s_xy]
    type = PointValue
    point = '0 0 0'
    variable = stress_xy
  [../]
  [./s_xz]
    type = PointValue
    point = '0 0 0'
    variable = stress_xz
  [../]
  [./s_yy]
    type = PointValue
    point = '0 0 0'
    variable = stress_yy
  [../]
  [./s_yz]
    type = PointValue
    point = '0 0 0'
    variable = stress_yz
  [../]
  [./s_zz]
    type = PointValue
    point = '0 0 0'
    variable = stress_zz
  [../]
  [./f0]
    type = PointValue
    point = '0 0 0'
    variable = f0
  [../]
  [./f1]
    type = PointValue
    point = '0 0 0'
    variable = f1
  [../]
  [./f2]
    type = PointValue
    point = '0 0 0'
    variable = f2
  [../]
  [./iter]
    type = PointValue
    point = '0 0 0'
    variable = iter
  [../]
  [./intnl]
    type = PointValue
    point = '0 0 0'
    variable = intnl
  [../]
[]

[UserObjects]
  [./ts]
    type = SolidMechanicsHardeningConstant
    value = 0.5
  [../]
  [./cs]
    type = SolidMechanicsHardeningConstant
    value = 1E6
  [../]
  [./coh]
    type = SolidMechanicsHardeningConstant
    value = 1E6
  [../]
  [./ang]
    type = SolidMechanicsHardeningConstant
    value = 0.5
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    fill_method = symmetric_isotropic
    C_ijkl = '0.6E6 1E6'
  [../]
  [./tensile]
    type = CappedMohrCoulombStressUpdate
    tensile_strength = ts
    compressive_strength = cs
    cohesion = coh
    friction_angle = ang
    dilation_angle = ang
    smoothing_tol = 0.0
    yield_function_tol = 1.0E-12
  [../]
  [./stress]
    type = ComputeMultipleInelasticStress
    inelastic_models = tensile
    perform_finite_strain_rotations = false
  [../]
[]


[Executioner]
  end_time = 1
  dt = 1
  type = Transient
[]


[Outputs]
  file_base = small_deform8
  csv = true
[]

(modules/solid_mechanics/test/tests/multi/three_surface15.i)

# Plasticit models:
# SimpleTester0 with a = 0 and b = 1 and strength = 1
# SimpleTester1 with a = 1 and b = 0 and strength = 1
# SimpleTester2 with a = 1 and b = 1 and strength = 3
#
# Lame lambda = 0 (Poisson=0).  Lame mu = 0.5E6
#
# A single element is stretched by 3.0E-6m in y direction and 3E-6 in z direction.
# trial stress_yy = 3.0 and stress_zz = 3
#
# A complicated return will follow, with various contraints being
# deactivated, kuhn-tucker failing, line-searching, etc, but
# the result should be
# stress_yy=1=stress_zz, and internal0=2 internal1=2

[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]


[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
[]

[Kernels]
  [SolidMechanics]
    displacements = 'disp_x disp_y disp_z'
  [../]
[]


[BCs]
  [./x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'front back'
    function = '0E-6*x'
  [../]
  [./y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'front back'
    function = '3.0E-6*y'
  [../]
  [./z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'front back'
    function = '3.0E-6*z'
  [../]
[]

[AuxVariables]
  [./stress_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f0]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f1]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f2]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./int0]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./int1]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./int2]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]

[AuxKernels]
  [./stress_xx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xx
    index_i = 0
    index_j = 0
  [../]
  [./stress_xy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xy
    index_i = 0
    index_j = 1
  [../]
  [./stress_xz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xz
    index_i = 0
    index_j = 2
  [../]
  [./stress_yy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yy
    index_i = 1
    index_j = 1
  [../]
  [./stress_yz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yz
    index_i = 1
    index_j = 2
  [../]
  [./stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zz
    index_i = 2
    index_j = 2
  [../]
  [./f0]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 0
    variable = f0
  [../]
  [./f1]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 1
    variable = f1
  [../]
  [./f2]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 2
    variable = f2
  [../]
  [./int0]
    type = MaterialStdVectorAux
    property = plastic_internal_parameter
    factor = 1E6
    index = 0
    variable = int0
  [../]
  [./int1]
    type = MaterialStdVectorAux
    property = plastic_internal_parameter
    factor = 1E6
    index = 1
    variable = int1
  [../]
  [./int2]
    type = MaterialStdVectorAux
    property = plastic_internal_parameter
    factor = 1E6
    index = 2
    variable = int2
  [../]
[]

[Postprocessors]
  [./s_xx]
    type = PointValue
    point = '0 0 0'
    variable = stress_xx
  [../]
  [./s_xy]
    type = PointValue
    point = '0 0 0'
    variable = stress_xy
  [../]
  [./s_xz]
    type = PointValue
    point = '0 0 0'
    variable = stress_xz
  [../]
  [./s_yy]
    type = PointValue
    point = '0 0 0'
    variable = stress_yy
  [../]
  [./s_yz]
    type = PointValue
    point = '0 0 0'
    variable = stress_yz
  [../]
  [./s_zz]
    type = PointValue
    point = '0 0 0'
    variable = stress_zz
  [../]
  [./f0]
    type = PointValue
    point = '0 0 0'
    variable = f0
  [../]
  [./f1]
    type = PointValue
    point = '0 0 0'
    variable = f1
  [../]
  [./f2]
    type = PointValue
    point = '0 0 0'
    variable = f2
  [../]
  [./int0]
    type = PointValue
    point = '0 0 0'
    variable = int0
  [../]
  [./int1]
    type = PointValue
    point = '0 0 0'
    variable = int1
  [../]
  [./int2]
    type = PointValue
    point = '0 0 0'
    variable = int2
  [../]
[]

[UserObjects]
  [./simple0]
    type = SolidMechanicsPlasticSimpleTester
    a = 0
    b = 1
    strength = 1
    yield_function_tolerance = 1.0E-6
    internal_constraint_tolerance = 1.0E-6
  [../]
  [./simple1]
    type = SolidMechanicsPlasticSimpleTester
    a = 1
    b = 0
    strength = 1
    yield_function_tolerance = 1.0E-6
    internal_constraint_tolerance = 1.0E-6
  [../]
  [./simple2]
    type = SolidMechanicsPlasticSimpleTester
    a = 1
    b = 1
    strength = 3
    yield_function_tolerance = 1.0E-6
    internal_constraint_tolerance = 1.0E-6
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    block = 0
    fill_method = symmetric_isotropic
    C_ijkl = '0 0.5E6'
  [../]
  [./strain]
    type = ComputeFiniteStrain
    block = 0
    displacements = 'disp_x disp_y disp_z'
  [../]
  [./multi]
    type = ComputeMultiPlasticityStress
    block = 0
    ep_plastic_tolerance = 1E-9
    plastic_models = 'simple0 simple1 simple2'
    max_NR_iterations = 4
    min_stepsize = 1
    debug_fspb = crash
    debug_jac_at_stress = '10 0 0 0 10 0 0 0 10'
    debug_jac_at_pm = '1 1 1'
    debug_jac_at_intnl = '1 1 1'
    debug_stress_change = 1E-5
    debug_pm_change = '1E-6 1E-6 1E-6'
    debug_intnl_change = '1E-6 1E-6 1E-6'
  [../]
[]


[Executioner]
  end_time = 1
  dt = 1
  type = Transient
[]


[Outputs]
  file_base = three_surface15
  exodus = false
  [./csv]
    type = CSV
    [../]
[]

(modules/contact/test/tests/mortar_tm/2drz/frictionless_first/small.i)

E_block = 1e7
E_plank = 1e7
elem = QUAD4
order = FIRST
name = 'small'

[Problem]
  coord_type = RZ
[]

[Mesh]
  patch_size = 80
  patch_update_strategy = auto
  [plank]
    type = GeneratedMeshGenerator
    dim = 2
    xmin = 0
    xmax = 0.6
    ymin = -10
    ymax = 10
    nx = 2
    ny = 67
    elem_type = ${elem}
    boundary_name_prefix = plank
  []
  [plank_id]
    type = SubdomainIDGenerator
    input = plank
    subdomain_id = 1
  []

  [block]
    type = GeneratedMeshGenerator
    dim = 2
    xmin = 0.61
    xmax = 1.21
    ymin = 9.2
    ymax = 10.0
    nx = 3
    ny = 4
    elem_type = ${elem}
    boundary_name_prefix = block
    boundary_id_offset = 10
  []
  [block_id]
    type = SubdomainIDGenerator
    input = block
    subdomain_id = 2
  []

  [combined]
    type = MeshCollectionGenerator
    inputs = 'plank_id block_id'
  []
  [block_rename]
    type = RenameBlockGenerator
    input = combined
    old_block = '1 2'
    new_block = 'plank block'
  []
[]

[GlobalParams]
  displacements = 'disp_x disp_y'
[]

[Variables]
  [disp_x]
    order = ${order}
    block = 'plank block'
    scaling = '${fparse 2.0 / (E_plank + E_block)}'
  []
  [disp_y]
    order = ${order}
    block = 'plank block'
    scaling = '${fparse 2.0 / (E_plank + E_block)}'
  []
[]

[Physics/SolidMechanics/QuasiStatic]
  [block]
    generate_output = 'stress_xx stress_yy stress_zz vonmises_stress hydrostatic_stress strain_xx '
                      'strain_yy strain_zz'
    block = 'block'
  []
  [plank]
    generate_output = 'stress_xx stress_yy stress_zz vonmises_stress hydrostatic_stress strain_xx '
                      'strain_yy strain_zz'
    block = 'plank'
    eigenstrain_names = 'swell'
  []
[]

[Contact]
  [frictionless]
    primary = plank_right
    secondary = block_left
    formulation = mortar
    c_normal = 1.0e0
  []
[]

[BCs]
  [left_x]
    type = DirichletBC
    variable = disp_x
    boundary = plank_left
    value = 0.0
  []
  [left_y]
    type = DirichletBC
    variable = disp_y
    boundary = plank_bottom
    value = 0.0
  []
  [right_x]
    type = DirichletBC
    variable = disp_x
    boundary = block_right
    value = 0
  []
  [right_y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = block_right
    function = '-t'
  []
[]

[Materials]
  [plank]
    type = ComputeIsotropicElasticityTensor
    block = 'plank'
    poissons_ratio = 0.3
    youngs_modulus = ${E_plank}
  []
  [block]
    type = ComputeIsotropicElasticityTensor
    block = 'block'
    poissons_ratio = 0.3
    youngs_modulus = ${E_block}
  []
  [stress]
    type = ComputeLinearElasticStress
    block = 'plank block'
  []
  [swell]
    type = ComputeEigenstrain
    block = 'plank'
    eigenstrain_name = swell
    eigen_base = '1 0 0 0 0 0 0 0 0'
    prefactor = swell_mat
  []
  [swell_mat]
    type = GenericFunctionMaterial
    prop_names = 'swell_mat'
    prop_values = '7e-2*(1-cos(4*t))'
    block = 'plank'
  []
[]

[Preconditioning]
  [smp]
    type = SMP
    full = true
  []
[]

[Executioner]
  type = Transient
  solve_type = 'PJFNK'
  petsc_options = '-snes_converged_reason -ksp_converged_reason'
  petsc_options_iname = '-pc_type -mat_mffd_err -pc_factor_shift_type -pc_factor_shift_amount'
  petsc_options_value = 'lu       1e-5          NONZERO               1e-15'
  end_time = 10
  dt = 0.1
  dtmin = 0.1
  timestep_tolerance = 1e-6
  line_search = 'contact'
[]

[Postprocessors]
  [nl_its]
    type = NumNonlinearIterations
  []
  [total_nl_its]
    type = CumulativeValuePostprocessor
    postprocessor = nl_its
  []
  [l_its]
    type = NumLinearIterations
  []
  [total_l_its]
    type = CumulativeValuePostprocessor
    postprocessor = l_its
  []
  [contact]
    type = ContactDOFSetSize
    variable = frictionless_normal_lm
    subdomain = frictionless_secondary_subdomain
  []
  [avg_hydro]
    type = ElementAverageValue
    variable = hydrostatic_stress
    block = 'block'
  []
  [max_hydro]
    type = ElementExtremeValue
    variable = hydrostatic_stress
    block = 'block'
  []
  [min_hydro]
    type = ElementExtremeValue
    variable = hydrostatic_stress
    block = 'block'
    value_type = min
  []
  [avg_vonmises]
    type = ElementAverageValue
    variable = vonmises_stress
    block = 'block'
  []
  [max_vonmises]
    type = ElementExtremeValue
    variable = vonmises_stress
    block = 'block'
  []
  [min_vonmises]
    type = ElementExtremeValue
    variable = vonmises_stress
    block = 'block'
    value_type = min
  []
[]

[Outputs]
  file_base = ${name}
  [comp]
    type = CSV
    show = 'contact'
  []
  [out]
    type = CSV
    file_base = '${name}_out'
  []
[]

[Debug]
  show_var_residual_norms = true
[]

(modules/contact/test/tests/bouncing-block-contact/variational-frictional.i)

starting_point = 2e-1

# We offset slightly so we avoid the case where the bottom of the secondary block and the top of the
# primary block are perfectly vertically aligned which can cause the backtracking line search some
# issues for a coarse mesh (basic line search handles that fine)
offset = 1e-2

[GlobalParams]
  displacements = 'disp_x disp_y'
  diffusivity = 1e0
  correct_edge_dropping = true
[]

[Mesh]
  [file_mesh]
    type = FileMeshGenerator
    file = long-bottom-block-1elem-blocks-coarse.e
  []
[]

[Variables]
  [disp_x]
    block = '1 2'
    scaling = 1e1
  []
  [disp_y]
    block = '1 2'
    scaling = 1e1
  []
  [contact_action_normal_lm]
    block = 4
    scaling = 1e3
  []
  [contact_action_tangential_lm]
    block = 4
    scaling = 1e2
  []
[]

[ICs]
  [disp_y]
    block = 2
    variable = disp_y
    value = '${fparse starting_point + offset}'
    type = ConstantIC
  []
[]

[Kernels]
  [disp_x]
    type = MatDiffusion
    variable = disp_x
  []
  [disp_y]
    type = MatDiffusion
    variable = disp_y
  []
[]

[AuxVariables]
  [procid]
    family = MONOMIAL
    order = CONSTANT
  []
[]

[AuxKernels]
  [procid]
    type = ProcessorIDAux
    variable = procid
  []
[]

[UserObjects]
  [weighted_velocities_uo]
    type = LMWeightedVelocitiesUserObject
    primary_boundary = 10
    secondary_boundary = 20
    primary_subdomain = 3
    secondary_subdomain = 4
    lm_variable_normal = contact_action_normal_lm
    lm_variable_tangential_one = contact_action_tangential_lm
    secondary_variable = disp_x
    disp_x = disp_x
    disp_y = disp_y
    correct_edge_dropping = true
  []
[]

[Constraints]
  [frictional_normal_lm]
    type = ComputeFrictionalForceLMMechanicalContact
    primary_boundary = 10
    secondary_boundary = 20
    primary_subdomain = 3
    secondary_subdomain = 4
    variable = contact_action_normal_lm
    friction_lm = contact_action_tangential_lm
    disp_x = disp_x
    disp_y = disp_y
    mu = 0.1
    normalize_c = true
    c = 1.0e-2
    c_t = 1.0e-1
    correct_edge_dropping = true
    weighted_velocities_uo = weighted_velocities_uo
    weighted_gap_uo = weighted_velocities_uo
  []
  [normal_x]
    type = NormalMortarMechanicalContact
    primary_boundary = 10
    secondary_boundary = 20
    primary_subdomain = 3
    secondary_subdomain = 4
    variable = contact_action_normal_lm
    secondary_variable = disp_x
    component = x
    use_displaced_mesh = true
    compute_lm_residuals = false
    weighted_gap_uo = weighted_velocities_uo
  []
  [normal_y]
    type = NormalMortarMechanicalContact
    primary_boundary = 10
    secondary_boundary = 20
    primary_subdomain = 3
    secondary_subdomain = 4
    variable = contact_action_normal_lm
    secondary_variable = disp_y
    component = y
    use_displaced_mesh = true
    compute_lm_residuals = false
    weighted_gap_uo = weighted_velocities_uo
  []
  [tangential_x]
    type = TangentialMortarMechanicalContact
    primary_boundary = 10
    secondary_boundary = 20
    primary_subdomain = 3
    secondary_subdomain = 4
    variable = contact_action_tangential_lm
    secondary_variable = disp_x
    component = x
    use_displaced_mesh = true
    compute_lm_residuals = false
    weighted_velocities_uo = weighted_velocities_uo
  []
  [tangential_y]
    type = TangentialMortarMechanicalContact
    primary_boundary = 10
    secondary_boundary = 20
    primary_subdomain = 3
    secondary_subdomain = 4
    variable = contact_action_tangential_lm
    secondary_variable = disp_y
    component = y
    use_displaced_mesh = true
    compute_lm_residuals = false
    weighted_velocities_uo = weighted_velocities_uo
  []
[]

[BCs]
  [botx]
    type = DirichletBC
    variable = disp_x
    boundary = 40
    value = 0.0
  []
  [boty]
    type = DirichletBC
    variable = disp_y
    boundary = 40
    value = 0.0
  []
  [topy]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 30
    function = '${starting_point} * cos(2 * pi / 40 * t) + ${offset}'
  []
  [leftx]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 50
    function = '1e-2 * t'
  []
[]

[Executioner]
  type = Transient
  end_time = 200
  dt = 5
  dtmin = .1
  solve_type = 'PJFNK'
  petsc_options = '-snes_converged_reason -ksp_converged_reason'
  petsc_options_iname = '-pc_type -pc_factor_shift_type -pc_factor_shift_amount'
  petsc_options_value = 'lu       NONZERO               1e-15'
  l_max_its = 30
  nl_max_its = 25
  line_search = 'none'
  nl_rel_tol = 1e-12
[]

[Debug]
  show_var_residual_norms = true
[]

[Outputs]
  exodus = true
  hide = procid
[]

[Preconditioning]
  [smp]
    type = SMP
    full = true
  []
[]

(test/tests/time_steppers/function_dt/function_dt_no_interpolation.i)

[Mesh]
  type = GeneratedMesh
  dim = 2
  xmin = -1
  xmax =  1
  ymin = -1
  ymax =  1
  nx = 2
  ny = 2
  elem_type = QUAD9
[]

[Functions]
  [./exact_fn]
    type = ParsedFunction
    expression = t*t*(x*x+y*y)
  [../]

  [./forcing_fn]
    type = ParsedFunction
    expression = 2*t*(x*x+y*y)-4*t*t
  [../]

  [./dts]
    type = PiecewiseConstant
    x = '0  4  8 12  20'
    y = '0  1  2  4  8'
    direction = right
  [../]
[]

[Variables]
  [./u]
    family = LAGRANGE
    order = SECOND
  [../]
[]

[ICs]
  [./u_var]
    type = FunctionIC
    variable = u
    function = exact_fn
  [../]
[]

[Kernels]
  [./td]
    type = TimeDerivative
    variable = u
  [../]

  [./diff]
    type = Diffusion
    variable = u
  [../]

  [./ffn]
    type = BodyForce
    variable = u
    function = forcing_fn
  [../]
[]

[BCs]
  [./all]
    type = FunctionDirichletBC
    variable = u
    boundary = 'left right top bottom'
    function = exact_fn
  [../]
[]

[Executioner]
  type = Transient

  start_time = 0
  end_time = 20
  [./TimeStepper]
    type = FunctionDT
    function = dts
  [../]
[]

[Outputs]
  exodus = true
[]

(modules/solid_mechanics/test/tests/lagrangian/cartesian/total/special/objective_shear.i)

[Mesh]
  [msh]
    type = GeneratedMeshGenerator
    dim = 3
    nx = 1
    ny = 1
    nz = 1
  []
[]

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
  large_kinematics = true
[]

[Variables]
  [disp_x]
  []
  [disp_y]
  []
  [disp_z]
  []
[]

[Kernels]
  [sdx]
    type = TotalLagrangianStressDivergence
    variable = disp_x
    component = 0
  []
  [sdy]
    type = TotalLagrangianStressDivergence
    variable = disp_y
    component = 1
  []
  [sdz]
    type = TotalLagrangianStressDivergence
    variable = disp_z
    component = 2
  []
[]

[AuxVariables]
  [strain_xx]
    order = CONSTANT
    family = MONOMIAL
  []
  [strain_yy]
    order = CONSTANT
    family = MONOMIAL
  []
  [strain_zz]
    order = CONSTANT
    family = MONOMIAL
  []
  [strain_xy]
    order = CONSTANT
    family = MONOMIAL
  []
  [strain_xz]
    order = CONSTANT
    family = MONOMIAL
  []
  [strain_yz]
    order = CONSTANT
    family = MONOMIAL
  []
  [stress_xx]
    order = CONSTANT
    family = MONOMIAL
  []
  [stress_yy]
    order = CONSTANT
    family = MONOMIAL
  []
  [stress_zz]
    order = CONSTANT
    family = MONOMIAL
  []
  [stress_xy]
    order = CONSTANT
    family = MONOMIAL
  []
  [stress_yz]
    order = CONSTANT
    family = MONOMIAL
  []
  [stress_xz]
    order = CONSTANT
    family = MONOMIAL
  []
[]

[AuxKernels]
  [stress_xx]
    type = RankTwoAux
    rank_two_tensor = cauchy_stress
    variable = stress_xx
    index_i = 0
    index_j = 0
    execute_on = timestep_end
  []
  [stress_yy]
    type = RankTwoAux
    rank_two_tensor = cauchy_stress
    variable = stress_yy
    index_i = 1
    index_j = 1
    execute_on = timestep_end
  []
  [stress_zz]
    type = RankTwoAux
    rank_two_tensor = cauchy_stress
    variable = stress_zz
    index_i = 2
    index_j = 2
    execute_on = timestep_end
  []
  [stress_xy]
    type = RankTwoAux
    rank_two_tensor = cauchy_stress
    variable = stress_xy
    index_i = 0
    index_j = 1
    execute_on = timestep_end
  []
  [stress_xz]
    type = RankTwoAux
    rank_two_tensor = cauchy_stress
    variable = stress_xz
    index_i = 0
    index_j = 2
    execute_on = timestep_end
  []
  [stress_yz]
    type = RankTwoAux
    rank_two_tensor = cauchy_stress
    variable = stress_yz
    index_i = 1
    index_j = 2
    execute_on = timestep_end
  []

  [strain_xx]
    type = RankTwoAux
    rank_two_tensor = mechanical_strain
    variable = strain_xx
    index_i = 0
    index_j = 0
    execute_on = timestep_end
  []
  [strain_yy]
    type = RankTwoAux
    rank_two_tensor = mechanical_strain
    variable = strain_yy
    index_i = 1
    index_j = 1
    execute_on = timestep_end
  []
  [strain_zz]
    type = RankTwoAux
    rank_two_tensor = mechanical_strain
    variable = strain_zz
    index_i = 2
    index_j = 2
    execute_on = timestep_end
  []
  [strain_xy]
    type = RankTwoAux
    rank_two_tensor = mechanical_strain
    variable = strain_xy
    index_i = 0
    index_j = 1
    execute_on = timestep_end
  []
  [strain_xz]
    type = RankTwoAux
    rank_two_tensor = mechanical_strain
    variable = strain_xz
    index_i = 0
    index_j = 2
    execute_on = timestep_end
  []
  [strain_yz]
    type = RankTwoAux
    rank_two_tensor = mechanical_strain
    variable = strain_yz
    index_i = 1
    index_j = 2
    execute_on = timestep_end
  []
[]

[Functions]
  [shearme]
    type = PiecewiseLinear
    x = '0 1'
    y = '0 2'
  []
[]

[BCs]
  [back]
    type = DirichletBC
    preset = true
    variable = disp_z
    boundary = back
    value = 0.0
  []
  [bottom_y]
    type = DirichletBC
    preset = true
    variable = disp_y
    boundary = bottom
    value = 0.0
  []
  [bottom_x]
    type = DirichletBC
    preset = true
    variable = disp_x
    boundary = bottom
    value = 0.0
  []
  [shear]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = top
    function = shearme
    preset = true
  []
  [hmm]
    type = DirichletBC
    preset = true
    variable = disp_y
    boundary = top
    value = 0.0
  []
[]

[Materials]
  [elastic_tensor]
    type = ComputeIsotropicElasticityTensor
    youngs_modulus = 1000.0
    poissons_ratio = 0.25
  []
  [compute_stress]
    type = ComputeLagrangianLinearElasticStress
  []
  [compute_strain]
    type = ComputeLagrangianStrain
  []
[]

[Preconditioning]
  [smp]
    type = SMP
    full = true
  []
[]

[Executioner]
  type = Transient
  dt = 0.01

  solve_type = 'newton'

  petsc_options_iname = -pc_type
  petsc_options_value = lu

  nl_abs_tol = 1e-10
  nl_rel_tol = 1e-10

  end_time = 1
[]

[Outputs]
  exodus = true
[]

(modules/solid_mechanics/test/tests/weak_plane_shear/small_deform_harden2.i)

# apply a pure tension, then some shear with compression
# the BCs are designed to map out the yield function, showing
# the affect of the hardening
[GlobalParams]
  displacements = 'x_disp y_disp z_disp'
[]

[Mesh]
  type = GeneratedMesh
  dim = 3
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]

[Physics/SolidMechanics/QuasiStatic/all]
  strain = FINITE
  add_variables = true
  generate_output = 'stress_xz stress_zx stress_yz stress_zz'
[]

[BCs]
  [bottomx]
    type = DirichletBC
    variable = x_disp
    boundary = back
    value = 0.0
  []
  [bottomy]
    type = DirichletBC
    variable = y_disp
    boundary = back
    value = 0.0
  []
  [bottomz]
    type = DirichletBC
    variable = z_disp
    boundary = back
    value = 0.0
  []

  [topx]
    type = FunctionDirichletBC
    variable = x_disp
    boundary = front
    function = 'if(t<1E-6,0,3*t)'
  []
  [topy]
    type = FunctionDirichletBC
    variable = y_disp
    boundary = front
    function = 'if(t<1E-6,0,5*(t-0.01E-6))'
  []
  [topz]
    type = FunctionDirichletBC
    variable = z_disp
    boundary = front
    function = 'if(t<1E-6,t,2E-6-t)'
  []
[]

[AuxVariables]
  [wps_internal]
    order = CONSTANT
    family = MONOMIAL
  []
  [yield_fcn]
    order = CONSTANT
    family = MONOMIAL
  []
[]

[AuxKernels]
  [wps_internal_auxk]
    type = MaterialStdVectorAux
    property = plastic_internal_parameter
    index = 0
    variable = wps_internal
  []
  [yield_fcn_auxk]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 0
    variable = yield_fcn
  []
[]

[Postprocessors]
  [s_xz]
    type = PointValue
    point = '0 0 0'
    variable = stress_xz
  []
  [s_yz]
    type = PointValue
    point = '0 0 0'
    variable = stress_yz
  []
  [s_zz]
    type = PointValue
    point = '0 0 0'
    variable = stress_zz
  []
  [f]
    type = PointValue
    point = '0 0 0'
    variable = yield_fcn
  []
  [int]
    type = PointValue
    point = '0 0 0'
    variable = wps_internal
  []
[]

[UserObjects]
  [coh]
    type = SolidMechanicsHardeningGaussian
    value_0 = 1E3
    value_residual = 700
    rate = 2E16
  []
  [tanphi]
    type = SolidMechanicsHardeningGaussian
    value_0 = 1
    value_residual = 0.577350269
    rate = 2E16
  []
  [tanpsi]
    type = SolidMechanicsHardeningGaussian
    value_0 = 0.0874886635
    value_residual = 0.01745506
    rate = 2E16
  []
  [wps]
    type = SolidMechanicsPlasticWeakPlaneShear
    cohesion = coh
    tan_friction_angle = tanphi
    tan_dilation_angle = tanpsi
    smoother = 500
    yield_function_tolerance = 1E-3
    internal_constraint_tolerance = 1E-3
  []
[]

[Materials]
  [elasticity_tensor]
    type = ComputeElasticityTensor
    fill_method = symmetric_isotropic
    C_ijkl = '1E9 0.5E9'
  []
  [mc]
    type = ComputeMultiPlasticityStress
    plastic_models = wps
    transverse_direction = '0 0 1'
    ep_plastic_tolerance = 1E-3
    max_NR_iterations = 100
    min_stepsize = 1
    debug_fspb = crash
  []
[]

[Executioner]
  end_time = 2E-6
  dt = 1E-7
  type = Transient
[]

[Outputs]
  csv = true
[]

(test/tests/executioners/executioner/steady_state_check_test.i)

#
# Run transient simulation into steady state
#

[Mesh]
  type = GeneratedMesh
  dim = 2
  xmin = -1
  xmax = 1
  ymin = -1
  ymax = 1
  nx = 10
  ny = 10
  elem_type = QUAD9
[]

[Variables]
  active = 'u'

  [./u]
    order = SECOND
    family = LAGRANGE

    [./InitialCondition]
      type = ConstantIC
      value = 0
    [../]
  [../]
[]

[Functions]
  [./forcing_fn]
    type = ParsedFunction
    # dudt = 3*t^2*(x^2 + y^2)
#    expression = 3*t*t*((x*x)+(y*y))-(4*t*t*t)
    expression = -4
  [../]

  [./exact_fn]
    type = ParsedFunction
#    expression = t*t*t*((x*x)+(y*y))
    expression = ((x*x)+(y*y))
  [../]
[]

[Kernels]
  active = 'diff ie ffn'

  [./ie]
    type = TimeDerivative
    variable = u
  [../]

  [./diff]
    type = Diffusion
    variable = u
  [../]

  [./ffn]
    type = BodyForce
    variable = u
    function = forcing_fn
  [../]
[]

[BCs]
  [./all]
    type = FunctionDirichletBC
    variable = u
    boundary = '0 1 2 3'
    function = exact_fn
  [../]
[]

[Postprocessors]
  [./l2_err]
    type = ElementL2Error
    variable = u
    function = exact_fn
  [../]
[]

[Executioner]
  type = Transient
  scheme = 'implicit-euler'

  solve_type = 'PJFNK'

  nl_abs_tol = 1e-14

  start_time = 0.0
  num_steps = 12
  dt = 1

  steady_state_detection = true
[]

[Outputs]
  execute_on = 'timestep_end'
  file_base = out_ss_check
  exodus = true
[]

(modules/thermal_hydraulics/test/tests/components/hs_boundary_external_app_temperature/phy.parent.i)

# This tests a transfer of temperature values computed by master app and used by a child app
# as a heat structure boundary condition

[Mesh]
  type = GeneratedMesh
  dim = 1
  xmax = 1
  nx = 10
[]

[Functions]
  [T_bc_fn]
    type = ParsedFunction
    expression = '300+t*x*10'
  []
  [T_ffn]
    type = ParsedFunction
    expression = 'x*10'
  []
[]

[Variables]
  [T]
  []
[]

[ICs]
  [T_ic]
    type = ConstantIC
    variable = T
    value = 300
  []
[]

[Kernels]
  [td]
    type = ADTimeDerivative
    variable = T
  []

  [diff]
    type = ADDiffusion
    variable = T
  []

  [ffn]
    type = BodyForce
    variable = T
    function = T_ffn
  []
[]

[BCs]
  [left]
    type = FunctionDirichletBC
    variable = T
    boundary = 'left right'
    function = T_bc_fn
  []
[]

[Executioner]
  type = Transient
  dt = 0.1
  num_steps = 2
  nl_abs_tol = 1e-10
  abort_on_solve_fail = true
  solve_type = NEWTON
[]

[MultiApps]
  [thm]
    type = TransientMultiApp
    app_type = ThermalHydraulicsApp
    input_files = phy.child.i
    execute_on = 'initial timestep_end'
  []
[]

[Transfers]
  [T_to_thm]
    type = MultiAppGeneralFieldNearestLocationTransfer
    to_multi_app = thm
    source_variable = T
    variable = T_ext
    to_boundaries = 'hs:outer'
  []
[]

[Outputs]
  exodus = true
  show = 'T'
[]

(test/tests/time_integrators/actually_explicit_euler_verification/ee-1d-linear.i)

[Mesh]
  type = GeneratedMesh
  dim = 1
  xmin = -1
  xmax = 1
  nx = 200
  elem_type = EDGE2
[]

[Functions]
  [./ic]
    type = ParsedFunction
    expression = 0
  [../]

  [./forcing_fn]
    type = ParsedFunction
    expression = x
  [../]

  [./exact_fn]
    type = ParsedFunction
    expression = t*x
  [../]
[]

[Variables]
  [./u]
    order = FIRST
    family = LAGRANGE

    [./InitialCondition]
      type = FunctionIC
      function = ic
    [../]
  [../]
[]

[Kernels]
  [./ie]
    type = TimeDerivative
    variable = u
    lumping = true
  [../]

  [./diff]
    type = Diffusion
    variable = u
  [../]

  [./ffn]
    type = BodyForce
    variable = u
    function = forcing_fn
  [../]
[]

[BCs]
  [./all]
    type = FunctionDirichletBC
    variable = u
    preset = false
    boundary = '0 1'
    function = exact_fn
  [../]
[]

[Postprocessors]
  [./l2_err]
    type = ElementL2Error
    variable = u
    function = exact_fn
  [../]
[]

[Executioner]
  type = Transient

  start_time = 0.0
  num_steps = 20
  dt = 0.00005

  [./TimeIntegrator]
    type = ActuallyExplicitEuler
  [../]
[]

[Outputs]
  exodus = true
  [./console]
    type = Console
    max_rows = 10
  [../]
[]

(modules/solid_mechanics/test/tests/capped_weak_plane/small_deform7.i)

# Plastic deformation, tensile with hardening
# With Lame lambda=0 and Lame mu=1, applying the following
# deformation to the zmax surface of a unit cube:
# disp_z = t
# should yield trial stress:
# stress_zz = 2*t
# The tensile strength varies as a cubic between 1 (at intnl=0)
# and 2 (at intnl=1).  The equation to solve is
# 2 - Ezzzz * ga = -2 * (ga - 1/2)^3 + (3/2) (ga - 1/2) + 3/2
# where the left-hand side comes from p = p_trial - ga * Ezzzz
# and the right-hand side is the cubic tensile strength
# The solution is ga = 0.355416 ( = intnl[1]), and the cubic
# is 1.289168 ( = p) at that point
[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]


[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]

[Physics/SolidMechanics/QuasiStatic]
  [./all]
    add_variables = true
    incremental = true
    generate_output = 'stress_xx stress_xy stress_xz stress_yy stress_yz stress_zz plastic_strain_xx plastic_strain_xy plastic_strain_xz plastic_strain_yy plastic_strain_yz plastic_strain_zz strain_xx strain_xy strain_xz strain_yy strain_yz strain_zz'
  [../]
[]

[BCs]
  [./bottomx]
    type = DirichletBC
    variable = disp_x
    boundary = back
    value = 0.0
  [../]
  [./bottomy]
    type = DirichletBC
    variable = disp_y
    boundary = back
    value = 0.0
  [../]
  [./bottomz]
    type = DirichletBC
    variable = disp_z
    boundary = back
    value = 0.0
  [../]

  [./topx]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = front
    function = 0
  [../]
  [./topy]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = front
    function = 0
  [../]
  [./topz]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = front
    function = t
  [../]
[]

[AuxVariables]
  [./f_shear]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f_tensile]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f_compressive]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./intnl_shear]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./intnl_tensile]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./iter]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./ls]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]

[AuxKernels]
  [./f_shear]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 0
    variable = f_shear
  [../]
  [./f_tensile]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 1
    variable = f_tensile
  [../]
  [./f_compressive]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 2
    variable = f_compressive
  [../]
  [./intnl_shear]
    type = MaterialStdVectorAux
    property = plastic_internal_parameter
    index = 0
    variable = intnl_shear
  [../]
  [./intnl_tensile]
    type = MaterialStdVectorAux
    property = plastic_internal_parameter
    index = 1
    variable = intnl_tensile
  [../]
  [./iter]
    type = MaterialRealAux
    property = plastic_NR_iterations
    variable = iter
  [../]
  [./ls]
    type = MaterialRealAux
    property = plastic_linesearch_needed
    variable = ls
  [../]
[]

[Postprocessors]
  [./stress_xx]
    type = PointValue
    point = '0 0 0'
    variable = stress_xx
  [../]
  [./stress_xy]
    type = PointValue
    point = '0 0 0'
    variable = stress_xy
  [../]
  [./stress_xz]
    type = PointValue
    point = '0 0 0'
    variable = stress_xz
  [../]
  [./stress_yy]
    type = PointValue
    point = '0 0 0'
    variable = stress_yy
  [../]
  [./stress_yz]
    type = PointValue
    point = '0 0 0'
    variable = stress_yz
  [../]
  [./stress_zz]
    type = PointValue
    point = '0 0 0'
    variable = stress_zz
  [../]
  [./strainp_xx]
    type = PointValue
    point = '0 0 0'
    variable = plastic_strain_xx
  [../]
  [./strainp_xy]
    type = PointValue
    point = '0 0 0'
    variable = plastic_strain_xy
  [../]
  [./strainp_xz]
    type = PointValue
    point = '0 0 0'
    variable = plastic_strain_xz
  [../]
  [./strainp_yy]
    type = PointValue
    point = '0 0 0'
    variable = plastic_strain_yy
  [../]
  [./strainp_yz]
    type = PointValue
    point = '0 0 0'
    variable = plastic_strain_yz
  [../]
  [./strainp_zz]
    type = PointValue
    point = '0 0 0'
    variable = plastic_strain_zz
  [../]
  [./straint_xx]
    type = PointValue
    point = '0 0 0'
    variable = strain_xx
  [../]
  [./straint_xy]
    type = PointValue
    point = '0 0 0'
    variable = strain_xy
  [../]
  [./straint_xz]
    type = PointValue
    point = '0 0 0'
    variable = strain_xz
  [../]
  [./straint_yy]
    type = PointValue
    point = '0 0 0'
    variable = strain_yy
  [../]
  [./straint_yz]
    type = PointValue
    point = '0 0 0'
    variable = strain_yz
  [../]
  [./straint_zz]
    type = PointValue
    point = '0 0 0'
    variable = strain_zz
  [../]
  [./f_shear]
    type = PointValue
    point = '0 0 0'
    variable = f_shear
  [../]
  [./f_tensile]
    type = PointValue
    point = '0 0 0'
    variable = f_tensile
  [../]
  [./f_compressive]
    type = PointValue
    point = '0 0 0'
    variable = f_compressive
  [../]
  [./intnl_shear]
    type = PointValue
    point = '0 0 0'
    variable = intnl_shear
  [../]
  [./intnl_tensile]
    type = PointValue
    point = '0 0 0'
    variable = intnl_tensile
  [../]
  [./iter]
    type = PointValue
    point = '0 0 0'
    variable = iter
  [../]
  [./ls]
    type = PointValue
    point = '0 0 0'
    variable = ls
  [../]
[]


[UserObjects]
  [./coh]
    type = SolidMechanicsHardeningConstant
    value = 20
  [../]
  [./tanphi]
    type = SolidMechanicsHardeningConstant
    value = 0.5
  [../]
  [./tanpsi]
    type = SolidMechanicsHardeningConstant
    value = 0.1
  [../]
  [./t_strength]
    type = SolidMechanicsHardeningCubic
    value_0 = 1
    value_residual = 2
    internal_limit = 1
  [../]
  [./c_strength]
    type = SolidMechanicsHardeningConstant
    value = 100
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    fill_method = symmetric_isotropic
    C_ijkl = '0 1'
  [../]
  [./admissible]
    type = ComputeMultipleInelasticStress
    inelastic_models = stress
    perform_finite_strain_rotations = false
  [../]
  [./stress]
    type = CappedWeakPlaneStressUpdate
    cohesion = coh
    tan_friction_angle = tanphi
    tan_dilation_angle = tanpsi
    tensile_strength = t_strength
    compressive_strength = c_strength
    max_NR_iterations = 20
    tip_smoother = 5
    smoothing_tol = 5
    yield_function_tol = 1E-10
  [../]
[]

[Executioner]
  end_time = 1
  dt = 1
  type = Transient
[]

[Outputs]
  file_base = small_deform7
  csv = true
[]

(modules/combined/test/tests/inelastic_strain/creep/creep_nl1.i)

#
# Test for effective strain calculation.
# Boundary conditions from NAFEMS test NL1
#
# This is not a verification test. This is the creep analog of the same test
# in the elas_plas directory. Instead of using the IsotropicPlasticity
# material model this test uses the PowerLawCreep material model.
#
[GlobalParams]
  temperature = temp
  order = FIRST
  family = LAGRANGE
  volumetric_locking_correction = true
  displacements = 'disp_x disp_y'
[]

[Mesh]
  file = one_elem2.e
[]

[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./temp]
    initial_condition = 600.0
  [../]
[]

[AuxVariables]
  [./stress_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./vonmises]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./pressure]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./elastic_strain_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./elastic_strain_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./elastic_strain_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./creep_strain_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./creep_strain_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./creep_strain_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./tot_strain_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./tot_strain_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./tot_strain_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./eff_creep_strain]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]

[Kernels]
  [./TensorMechanics]
    use_displaced_mesh = true
    decomposition_method = EigenSolution
  [../]
  [./heat]
    type = HeatConduction
    variable = temp
  [../]
  [./heat_ie]
    type = HeatConductionTimeDerivative
    variable = temp
  [../]
[]

[AuxKernels]
  [./stress_xx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xx
    index_i = 0
    index_j = 0
    execute_on = timestep_end
  [../]
  [./stress_yy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yy
    index_i = 1
    index_j = 1
    execute_on = timestep_end
  [../]
  [./stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zz
    index_i = 2
    index_j = 2
    execute_on = timestep_end
  [../]
  [./stress_xy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xy
    index_i = 0
    index_j = 1
    execute_on = timestep_end
  [../]
  [./vonmises]
    type = RankTwoScalarAux
    rank_two_tensor = stress
    variable = vonmises
    scalar_type = VonMisesStress
    execute_on = timestep_end
  [../]
  [./pressure]
    type = RankTwoScalarAux
    rank_two_tensor = stress
    variable = pressure
    scalar_type = Hydrostatic
    execute_on = timestep_end
  [../]
  [./elastic_strain_xx]
    type = RankTwoAux
    rank_two_tensor = elastic_strain
    variable = elastic_strain_xx
    index_i = 0
    index_j = 0
    execute_on = timestep_end
  [../]
  [./elastic_strain_yy]
    type = RankTwoAux
    rank_two_tensor = elastic_strain
    variable = elastic_strain_yy
    index_i = 1
    index_j = 1
    execute_on = timestep_end
  [../]
  [./elastic_strain_zz]
    type = RankTwoAux
    rank_two_tensor = elastic_strain
    variable = elastic_strain_zz
    index_i = 2
    index_j = 2
    execute_on = timestep_end
  [../]
  [./creep_strain_xx]
    type = RankTwoAux
    rank_two_tensor = creep_strain
    variable = creep_strain_xx
    index_i = 0
    index_j = 0
    execute_on = timestep_end
  [../]
  [./creep_strain_yy]
    type = RankTwoAux
    rank_two_tensor = creep_strain
    variable = creep_strain_yy
    index_i = 1
    index_j = 1
    execute_on = timestep_end
  [../]
  [./creep_strain_zz]
    type = RankTwoAux
    rank_two_tensor = creep_strain
    variable = creep_strain_zz
    index_i = 2
    index_j = 2
    execute_on = timestep_end
  [../]
  [./tot_strain_xx]
    type = RankTwoAux
    rank_two_tensor = total_strain
    variable = tot_strain_xx
    index_i = 0
    index_j = 0
  [../]
  [./tot_strain_yy]
    type = RankTwoAux
    rank_two_tensor = total_strain
    variable = tot_strain_yy
    index_i = 1
    index_j = 1
  [../]
  [./tot_strain_zz]
    type = RankTwoAux
    rank_two_tensor = total_strain
    variable = tot_strain_zz
    index_i = 2
    index_j = 2
  [../]
  [./eff_creep_strain]
    type = MaterialRealAux
    property = effective_creep_strain
    variable = eff_creep_strain
  [../]
[]

[Functions]
  [./appl_dispy]
    type = PiecewiseLinear
    x = '0     1.0     2.0'
    y = '0.0 0.25e-4 0.50e-4'
  [../]
[]

[BCs]
  [./side_x]
    type = DirichletBC
    variable = disp_x
    boundary = 101
    value = 0.0
  [../]
  [./origin_x]
    type = DirichletBC
    variable = disp_x
    boundary = 103
    value = 0.0
  [../]
  [./bot_y]
    type = DirichletBC
    variable = disp_y
    boundary = 102
    value = 0.0
  [../]
  [./origin_y]
    type = DirichletBC
    variable = disp_y
    boundary = 103
    value = 0.0
  [../]
  [./top_y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 1
    function = appl_dispy
  [../]
  [./temp_fix]
    type = DirichletBC
    variable = temp
    boundary = '1 2'
    value = 600.0
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeIsotropicElasticityTensor
    block = 1
    youngs_modulus = 250e9
    poissons_ratio = 0.25
  [../]
  [./strain]
    type = ComputePlaneFiniteStrain
    block = 1
  [../]
  [./radial_return_stress]
    type = ComputeMultipleInelasticStress
    block = 1
    inelastic_models = 'powerlawcrp'
  [../]
  [./powerlawcrp]
    type = PowerLawCreepStressUpdate
    block = 1
    coefficient = 3.125e-14
    n_exponent = 5.0
    m_exponent = 0.0
    activation_energy = 0.0
  [../]
  [./thermal]
    type = HeatConductionMaterial
    block = 1
    specific_heat = 1.0
    thermal_conductivity = 100.
  [../]
  [./density]
    type = Density
    block = 1
    density = 1.0
  [../]
[]

[Executioner]
  type = Transient
  solve_type = 'PJFNK'

  nl_rel_tol = 1e-10
  nl_abs_tol = 1e-12
  l_tol = 1e-6
  l_max_its = 100
  nl_max_its = 20

  dt = 1.0
  start_time = 0.0
  num_steps = 100
  end_time = 2.0
[]

[Postprocessors]
  [./stress_xx]
    type = ElementAverageValue
    variable = stress_xx
  [../]
  [./stress_yy]
    type = ElementAverageValue
    variable = stress_yy
  [../]
  [./stress_zz]
    type = ElementAverageValue
    variable = stress_zz
  [../]
  [./stress_xy]
    type = ElementAverageValue
    variable = stress_xy
  [../]
  [./vonmises]
    type = ElementAverageValue
    variable = vonmises
  [../]
  [./pressure]
    type = ElementAverageValue
    variable = pressure
  [../]
  [./el_strain_xx]
    type = ElementAverageValue
    variable = elastic_strain_xx
  [../]
  [./el_strain_yy]
    type = ElementAverageValue
    variable = elastic_strain_yy
  [../]
  [./el_strain_zz]
    type = ElementAverageValue
    variable = elastic_strain_zz
  [../]
  [./crp_strain_xx]
    type = ElementAverageValue
    variable = creep_strain_xx
  [../]
  [./crp_strain_yy]
    type = ElementAverageValue
    variable = creep_strain_yy
  [../]
  [./crp_strain_zz]
    type = ElementAverageValue
    variable = creep_strain_zz
  [../]
  [./eff_creep_strain]
    type = ElementAverageValue
    variable = eff_creep_strain
  [../]
  [./tot_strain_xx]
    type = ElementAverageValue
    variable = tot_strain_xx
  [../]
  [./tot_strain_yy]
    type = ElementAverageValue
    variable = tot_strain_yy
  [../]
  [./tot_strain_zz]
    type = ElementAverageValue
    variable = tot_strain_zz
  [../]
  [./disp_x1]
    type = NodalVariableValue
    nodeid = 0
    variable = disp_x
  [../]
  [./disp_x4]
    type = NodalVariableValue
    nodeid = 3
    variable = disp_x
  [../]
  [./disp_y1]
    type = NodalVariableValue
    nodeid = 0
    variable = disp_y
  [../]
  [./disp_y4]
    type = NodalVariableValue
    nodeid = 3
    variable = disp_y
  [../]
  [./_dt]
    type = TimestepSize
  [../]
[]

[Outputs]
  exodus = true
  [./console]
    type = Console
    output_linear = true
  [../]
[]

(modules/combined/test/tests/reference_residual/reference_residual_perfgraph.i)

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]

[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 4
  ny = 4
  nz = 4
[]

[Problem]
  type = ReferenceResidualProblem
  extra_tag_vectors = 'ref'
  reference_vector = 'ref'
[]

[Variables]
  [./disp_x]
    order = FIRST
    family = LAGRANGE
  [../]

  [./disp_y]
    order = FIRST
    family = LAGRANGE
  [../]

  [./disp_z]
    order = FIRST
    family = LAGRANGE
  [../]

  [./temp]
    order = FIRST
    family = LAGRANGE
  [../]
[]

[AuxVariables]
  [./saved_x]
  [../]
  [./saved_y]
  [../]
  [./saved_z]
  [../]
  [./saved_t]
  [../]
[]

[Physics/SolidMechanics/QuasiStatic]
  [./all]
    volumetric_locking_correction = true
    incremental = true
    save_in = 'saved_x saved_y saved_z'
    eigenstrain_names = thermal_expansion
    strain = FINITE
    decomposition_method = EigenSolution
    extra_vector_tags = 'ref'
    temperature = temp
  [../]
[]

[Kernels]
  [./heat]
    type = HeatConduction
    variable = temp
    save_in = saved_t
    extra_vector_tags = 'ref'
  [../]
[]

[Functions]
  [./pull]
    type = PiecewiseLinear
    x = '0 1 2'
    y = '0 1 1'
    scale_factor = 0.1
  [../]
[]

[BCs]
  [./bottom_x]
    type = DirichletBC
    variable = disp_x
    boundary = bottom
    value = 0.0
  [../]

  [./bottom_y]
    type = DirichletBC
    variable = disp_y
    boundary = bottom
    value = 0.0
  [../]

  [./bottom_z]
    type = DirichletBC
    variable = disp_z
    boundary = bottom
    value = 0.0
  [../]

  [./top_x]
    type = DirichletBC
    variable = disp_x
    boundary = top
    value = 0.0
  [../]

  [./top_y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = top
    function = pull
  [../]

  [./top_z]
    type = DirichletBC
    variable = disp_z
    boundary = top
    value = 0.0
  [../]

  [./bottom_temp]
    type = DirichletBC
    variable = temp
    boundary = bottom
    value = 10.0
  [../]

  [./top_temp]
    type = DirichletBC
    variable = temp
    boundary = top
    value = 20.0
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeIsotropicElasticityTensor
    block = 0
    youngs_modulus = 1.0
    poissons_ratio = 0.3
  [../]
  [./stress]
    type = ComputeFiniteStrainElasticStress
    block = 0
  [../]

  [./thermal_expansion]
    type = ComputeThermalExpansionEigenstrain
    block = 0
    eigenstrain_name = thermal_expansion
    temperature = temp
    thermal_expansion_coeff = 1e-5
    stress_free_temperature = 0.0
  [../]

  [./heat1]
    type = HeatConductionMaterial
    block = 0
    specific_heat = 1.0
    thermal_conductivity = 1e-3 #Tuned to give temperature reference resid close to that of solidmech
  [../]

  [./density]
    type = Density
    block = 0
    density = 1.0
  [../]
[]

[Executioner]
  type = Transient
  solve_type = 'PJFNK'

  nl_rel_tol = 1e-10
  l_tol = 1e-3
  l_max_its = 100
  dt = 1.0
  end_time = 2.0
[]

[Postprocessors]
  [./res_calls]
    type = PerfGraphData
    section_name = "ReferenceResidualProblem::computeResidualInternal"
    data_type = calls
  [../]
  [./elapsed]
    type = PerfGraphData
    section_name = "Root"
    data_type = total
  [../]
[]

[Outputs]
  csv = true
[]

(modules/solid_mechanics/test/tests/lagrangian/cartesian/updated/action/no_action_1D.i)

# Simple 1D plane strain test

[GlobalParams]
  displacements = 'disp_x'
  large_kinematics = true
[]

[Variables]
  [disp_x]
  []
[]

[Mesh]
  [msh]
    type = GeneratedMeshGenerator
    dim = 1
    nx = 10
  []
[]

[Kernels]
  [sdx]
    type = UpdatedLagrangianStressDivergence
    variable = disp_x
    component = 0
    use_displaced_mesh = true
  []
[]

[Functions]
  [pull]
    type = ParsedFunction
    expression = '0.06 * t'
  []
[]

[BCs]
  [leftx]
    type = DirichletBC
    preset = true
    boundary = right
    variable = disp_x
    value = 0.0
  []
  [pull]
    type = FunctionDirichletBC
    boundary = left
    variable = disp_x
    function = pull
    preset = true
  []
[]

[Materials]
  [elastic_tensor]
    type = ComputeIsotropicElasticityTensor
    youngs_modulus = 100000.0
    poissons_ratio = 0.3
  []
  [stress_base]
    type = ComputeLagrangianLinearElasticStress
  []
  [compute_strain]
    type = ComputeLagrangianStrain
  []
[]

[Preconditioning]
  [smp]
    type = SMP
    full = true
  []
[]

[Executioner]
  type = Transient

  solve_type = 'newton'
  line_search = none

  petsc_options_iname = '-pc_type'
  petsc_options_value = 'lu'

  l_max_its = 2
  l_tol = 1e-14
  nl_max_its = 15
  nl_rel_tol = 1e-8
  nl_abs_tol = 1e-10

  start_time = 0.0
  dt = 1.0
  dtmin = 1.0
  end_time = 5.0
[]

[Outputs]
  exodus = true
[]

(modules/solid_mechanics/test/tests/creep_tangent_operator/creep.i)

[Mesh]
  type = GeneratedMesh
  dim = 2
  nx = 2
  ny = 2
  second_order = true
[]

[GlobalParams]
  displacements = 'disp_x disp_y'
  volumetric_locking_correction = false
[]

[Functions]
  [./pull]
    type = PiecewiseLinear
    x = '0 10'
    y = '0 1e-3'
  [../]
[]

[Physics/SolidMechanics/QuasiStatic]
  [./all]
    strain = FINITE
    add_variables = true
    use_finite_deform_jacobian = true
    generate_output = 'hydrostatic_stress'
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeIsotropicElasticityTensor
    youngs_modulus = 1e10
    poissons_ratio = 0.3
  [../]

  [./elastic_strain]
    type = ComputeMultipleInelasticStress
    # inelastic_models = ''
    tangent_operator = nonlinear
  [../]

  [./creep_ten]
    type = PowerLawCreepStressUpdate
    coefficient = 10e-24
    n_exponent = 4
    activation_energy = 0
    base_name = creep_ten
  [../]
  [./creep_ten2]
    type = PowerLawCreepStressUpdate
    coefficient = 10e-24
    n_exponent = 4
    activation_energy = 0
    base_name = creep_ten2
  [../]
  [./creep_one]
    type = PowerLawCreepStressUpdate
    coefficient = 1e-24
    n_exponent = 4
    activation_energy = 0
    base_name = creep_one
  [../]
  [./creep_nine]
    type = PowerLawCreepStressUpdate
    coefficient = 9e-24
    n_exponent = 4
    activation_energy = 0
    base_name = creep_nine
  [../]
  [./creep_zero]
    type = PowerLawCreepStressUpdate
    coefficient = 0e-24
    n_exponent = 4
    activation_energy = 0
    base_name = creep_zero
  [../]
[]

[BCs]
  [./no_disp_x]
    type = DirichletBC
    variable = disp_x
    boundary = left
    value = 0.0
  [../]

  [./no_disp_y]
    type = DirichletBC
    variable = disp_y
    boundary = bottom
    value = 0.0
  [../]

  [./pull_disp_y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = top
    function = pull
  [../]
[]

[Preconditioning]
  [./smp]
    type = SMP
    full = true
  [../]
[]

[Executioner]
  type = Transient

  petsc_options_iname = '-pc_type'
  petsc_options_value = 'lu'
  line_search = 'none'
  nl_rel_tol = 1e-5

  num_steps = 5
  dt = 1e-1
[]

[Postprocessors]
  [./max_disp_x]
    type = ElementExtremeValue
    variable = disp_x
  [../]
  [./max_disp_y]
    type = ElementExtremeValue
    variable = disp_y
  [../]
  [./max_hydro]
    type = ElementAverageValue
    variable = hydrostatic_stress
  [../]
  [./dt]
    type = TimestepSize
  [../]
  [./num_lin]
    type = NumLinearIterations
    outputs = console
  [../]
  [./num_nonlin]
    type = NumNonlinearIterations
    outputs = console
  [../]
[]

[Outputs]
  csv = true
  perf_graph = true
[]

[Debug]
  show_var_residual_norms = true
[]

(modules/contact/test/tests/mortar_tm/2d/frictionless_second/finite_rr.i)

E_block = 1e7
E_plank = 1e7
elem = QUAD9
order = SECOND
name = 'finite_rr'

[Mesh]
  patch_size = 80
  patch_update_strategy = auto
  [plank]
    type = GeneratedMeshGenerator
    dim = 2
    xmin = -0.3
    xmax = 0.3
    ymin = -10
    ymax = 10
    nx = 2
    ny = 67
    elem_type = ${elem}
    boundary_name_prefix = plank
  []
  [plank_id]
    type = SubdomainIDGenerator
    input = plank
    subdomain_id = 1
  []

  [block]
    type = GeneratedMeshGenerator
    dim = 2
    xmin = 0.31
    xmax = 0.91
    ymin = 7.7
    ymax = 8.5
    nx = 3
    ny = 4
    elem_type = ${elem}
    boundary_name_prefix = block
    boundary_id_offset = 10
  []
  [block_id]
    type = SubdomainIDGenerator
    input = block
    subdomain_id = 2
  []

  [combined]
    type = MeshCollectionGenerator
    inputs = 'plank_id block_id'
  []
  [block_rename]
    type = RenameBlockGenerator
    input = combined
    old_block = '1 2'
    new_block = 'plank block'
  []
[]

[GlobalParams]
  displacements = 'disp_x disp_y'
[]

[Problem]
  type = ReferenceResidualProblem
  extra_tag_vectors = 'ref'
  reference_vector = 'ref'
[]

[Variables]
  [disp_x]
    order = ${order}
    block = 'plank block'
    scaling = '${fparse 2.0 / (E_plank + E_block)}'
  []
  [disp_y]
    order = ${order}
    block = 'plank block'
    scaling = '${fparse 2.0 / (E_plank + E_block)}'
  []
[]

[Physics/SolidMechanics/QuasiStatic]
  [action]
    strain = FINITE
    generate_output = 'stress_xx stress_yy stress_zz vonmises_stress hydrostatic_stress strain_xx '
                      'strain_yy strain_zz'
    block = 'plank block'
    extra_vector_tags = 'ref'
  []
[]

[Contact]
  [frictionless]
    primary = plank_right
    secondary = block_left
    formulation = mortar
    c_normal = 1e0
  []
[]

[BCs]
  [left_x]
    type = DirichletBC
    variable = disp_x
    preset = false
    boundary = plank_left
    value = 0.0
  []
  [left_y]
    type = DirichletBC
    variable = disp_y
    preset = false
    boundary = plank_bottom
    value = 0.0
  []
  [right_x]
    type = FunctionDirichletBC
    variable = disp_x
    preset = false
    boundary = block_right
    function = '-0.04*sin(4*(t+1.5))+0.02'
  []
  [right_y]
    type = FunctionDirichletBC
    variable = disp_y
    preset = false
    boundary = block_right
    function = '-t'
  []
[]

[Materials]
  [plank]
    type = ComputeIsotropicElasticityTensor
    block = 'plank'
    poissons_ratio = 0.3
    youngs_modulus = ${E_plank}
  []
  [block]
    type = ComputeIsotropicElasticityTensor
    block = 'block'
    poissons_ratio = 0.3
    youngs_modulus = ${E_block}
  []
  [stress]
    type = ComputeFiniteStrainElasticStress
    block = 'plank block'
  []
[]

[Preconditioning]
  [smp]
    type = SMP
    full = true
  []
[]

[Executioner]
  type = Transient
  solve_type = 'PJFNK'
  petsc_options = '-snes_converged_reason -ksp_converged_reason'
  petsc_options_iname = '-pc_type -mat_mffd_err -pc_factor_shift_type -pc_factor_shift_amount'
  petsc_options_value = 'lu       1e-5          NONZERO               1e-15'
  end_time = 5.0
  dt = 0.1
  dtmin = 0.1
  timestep_tolerance = 1e-6
  line_search = 'contact'
  nl_abs_tol = 1e-7
[]

[Postprocessors]
  [nl_its]
    type = NumNonlinearIterations
  []
  [total_nl_its]
    type = CumulativeValuePostprocessor
    postprocessor = nl_its
  []
  [l_its]
    type = NumLinearIterations
  []
  [total_l_its]
    type = CumulativeValuePostprocessor
    postprocessor = l_its
  []
  [contact]
    type = ContactDOFSetSize
    variable = frictionless_normal_lm
    subdomain = frictionless_secondary_subdomain
  []
  [avg_hydro]
    type = ElementAverageValue
    variable = hydrostatic_stress
    block = 'block'
  []
  [max_hydro]
    type = ElementExtremeValue
    variable = hydrostatic_stress
    block = 'block'
  []
  [min_hydro]
    type = ElementExtremeValue
    variable = hydrostatic_stress
    block = 'block'
    value_type = min
  []
  [avg_vonmises]
    type = ElementAverageValue
    variable = vonmises_stress
    block = 'block'
  []
  [max_vonmises]
    type = ElementExtremeValue
    variable = vonmises_stress
    block = 'block'
  []
  [min_vonmises]
    type = ElementExtremeValue
    variable = vonmises_stress
    block = 'block'
    value_type = min
  []
[]

[Outputs]
  file_base = ${name}
  [comp]
    type = CSV
    show = 'contact'
  []
  [out]
    type = CSV
    file_base = '${name}_out'
  []
[]

[Debug]
  show_var_residual_norms = true
[]

(modules/peridynamics/test/tests/simple_tests/2D_irregularD_variableH_OSPD.i)

# Test for ordinary state-based peridynamic formulation
# for irregular grid from file mesh with varying bond constants
# partial Jacobian
# Jacobian from bond-based formulation is used for preconditioning

# Square plate with Dirichlet boundary conditions applied
# at the left, top and bottom edges

[GlobalParams]
  displacements = 'disp_x disp_y'
[]

[Mesh]
  type = PeridynamicsMesh
  horizon_number = 3

  [./fmg]
    type = FileMeshGenerator
    file = square.e
  [../]
  [./gpd]
    type = MeshGeneratorPD
    input = fmg
    retain_fe_mesh = false
  [../]
[]

[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
[]

[BCs]
  [./left_x]
    type = DirichletBC
    variable = disp_x
    boundary = 1001
    value = 0.0
  [../]
  [./top_y]
    type = DirichletBC
    variable = disp_y
    boundary = 1004
    value = 0.0
  [../]
  [./bottom_y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 1002
    function = '-0.001 * t'
  [../]
[]

[Modules/Peridynamics/Mechanics/Master]
  [./all]
    formulation = ORDINARY_STATE
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeIsotropicElasticityTensor
    youngs_modulus = 2e5
    poissons_ratio = 0.0
  [../]

  [./force_density]
    type = ComputeSmallStrainVariableHorizonMaterialOSPD
  [../]
[]

[Preconditioning]
  [./SMP]
    type = SMP
    full = true
  [../]
[]

[Executioner]
  type = Transient
  solve_type = PJFNK
  line_search = none
  start_time = 0
  end_time = 1
[]

[Outputs]
  file_base = 2D_irregularD_variableH_OSPD
  exodus = true
[]

(modules/combined/test/tests/inelastic_strain/elas_plas/elas_plas_nl1.i)

#
# Test for effective strain calculation.
# Boundary conditions from NAFEMS test NL1
#
# This is not a verification test. The boundary conditions are applied such
# that the first step generates only elastic stresses. The second and third
# steps generate plastic deformation and the effective strain should be
# increasing throughout the run.
#
[GlobalParams]
  order = FIRST
  family = LAGRANGE
  volumetric_locking_correction = true
  displacements = 'disp_x disp_y'
[]

[Mesh]
  file = one_elem2.e
[]

[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
[]

[AuxVariables]
  [./stress_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./vonmises]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./pressure]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./elastic_strain_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./elastic_strain_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./elastic_strain_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./plastic_strain_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./plastic_strain_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./plastic_strain_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./tot_strain_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./tot_strain_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./tot_strain_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./eff_plastic_strain]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]

[Kernels]
  [./TensorMechanics]
    use_displaced_mesh = true
  [../]
[]

[AuxKernels]
  [./stress_xx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xx
    index_i = 0
    index_j = 0
    execute_on = timestep_end
  [../]
  [./stress_yy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yy
    index_i = 1
    index_j = 1
    execute_on = timestep_end
  [../]
  [./stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zz
    index_i = 2
    index_j = 2
    execute_on = timestep_end
  [../]
  [./stress_xy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xy
    index_i = 0
    index_j = 1
    execute_on = timestep_end
  [../]
  [./vonmises]
    type = RankTwoScalarAux
    rank_two_tensor = stress
    variable = vonmises
    scalar_type = VonMisesStress
    execute_on = timestep_end
  [../]
  [./pressure]
    type = RankTwoScalarAux
    rank_two_tensor = stress
    variable = pressure
    scalar_type = Hydrostatic
    execute_on = timestep_end
  [../]
  [./elastic_strain_xx]
    type = RankTwoAux
    rank_two_tensor = elastic_strain
    variable = elastic_strain_xx
    index_i = 0
    index_j = 0
    execute_on = timestep_end
  [../]
  [./elastic_strain_yy]
    type = RankTwoAux
    rank_two_tensor = elastic_strain
    variable = elastic_strain_yy
    index_i = 1
    index_j = 1
    execute_on = timestep_end
  [../]
  [./elastic_strain_zz]
    type = RankTwoAux
    rank_two_tensor = elastic_strain
    variable = elastic_strain_zz
    index_i = 2
    index_j = 2
    execute_on = timestep_end
  [../]
  [./plastic_strain_xx]
    type = RankTwoAux
    rank_two_tensor = plastic_strain
    variable = plastic_strain_xx
    index_i = 0
    index_j = 0
    execute_on = timestep_end
  [../]
  [./plastic_strain_yy]
    type = RankTwoAux
    rank_two_tensor = plastic_strain
    variable = plastic_strain_yy
    index_i = 1
    index_j = 1
    execute_on = timestep_end
  [../]
  [./plastic_strain_zz]
    type = RankTwoAux
    rank_two_tensor = plastic_strain
    variable = plastic_strain_zz
    index_i = 2
    index_j = 2
    execute_on = timestep_end
  [../]
  [./tot_strain_xx]
    type = RankTwoAux
    rank_two_tensor = total_strain
    variable = tot_strain_xx
    index_i = 0
    index_j = 0
    execute_on = timestep_end
  [../]
  [./tot_strain_yy]
    type = RankTwoAux
    rank_two_tensor = total_strain
    variable = tot_strain_yy
    index_i = 1
    index_j = 1
    execute_on = timestep_end
  [../]
  [./tot_strain_zz]
    type = RankTwoAux
    rank_two_tensor = total_strain
    variable = tot_strain_zz
    index_i = 2
    index_j = 2
    execute_on = timestep_end
  [../]
  [./eff_plastic_strain]
    type = MaterialRealAux
    property = effective_plastic_strain
    variable = eff_plastic_strain
  [../]
[]

[Functions]
  [./appl_dispy]
    type = PiecewiseLinear
    x = '0     1.0     2.0     3.0'
    y = '0.0 0.208e-4 0.50e-4 1.00e-4'
  [../]
[]

[BCs]
  [./side_x]
    type = DirichletBC
    variable = disp_x
    boundary = 101
    value = 0.0
  [../]
  [./origin_x]
    type = DirichletBC
    variable = disp_x
    boundary = 103
    value = 0.0
  [../]
  [./bot_y]
    type = DirichletBC
    variable = disp_y
    boundary = 102
    value = 0.0
  [../]
  [./origin_y]
    type = DirichletBC
    variable = disp_y
    boundary = 103
    value = 0.0
  [../]
  [./top_y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 1
    function = appl_dispy
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeIsotropicElasticityTensor
    block = 1
    youngs_modulus = 250e9
    poissons_ratio = 0.25
  [../]
  [./strain]
    type = ComputePlaneFiniteStrain
    block = 1
  [../]
  [./stress]
    type = ComputeMultipleInelasticStress
    inelastic_models = 'isoplas'
    block = 1
  [../]
  [./isoplas]
    type = IsotropicPlasticityStressUpdate
    yield_stress = 5e6
    hardening_constant = 0.0
  [../]
[]

[Executioner]
  type = Transient
  solve_type = 'PJFNK'

  nl_rel_tol = 1e-10
  nl_abs_tol = 1e-12
  l_tol = 1e-4
  l_max_its = 100
  nl_max_its = 20

  dt = 1.0
  start_time = 0.0
  num_steps = 100
  end_time = 3.0
[] # Executioner

[Postprocessors]
  [./stress_xx]
    type = ElementAverageValue
    variable = stress_xx
  [../]
  [./stress_yy]
    type = ElementAverageValue
    variable = stress_yy
  [../]
  [./stress_zz]
    type = ElementAverageValue
    variable = stress_zz
  [../]
  [./stress_xy]
    type = ElementAverageValue
    variable = stress_xy
  [../]
  [./vonmises]
    type = ElementAverageValue
    variable = vonmises
  [../]
  [./pressure]
    type = ElementAverageValue
    variable = pressure
  [../]
  [./el_strain_xx]
    type = ElementAverageValue
    variable = elastic_strain_xx
  [../]
  [./el_strain_yy]
    type = ElementAverageValue
    variable = elastic_strain_yy
  [../]
  [./el_strain_zz]
    type = ElementAverageValue
    variable = elastic_strain_zz
  [../]
  [./pl_strain_xx]
    type = ElementAverageValue
    variable = plastic_strain_xx
  [../]
  [./pl_strain_yy]
    type = ElementAverageValue
    variable = plastic_strain_yy
  [../]
  [./pl_strain_zz]
    type = ElementAverageValue
    variable = plastic_strain_zz
  [../]
  [./eff_plastic_strain]
    type = ElementAverageValue
    variable = eff_plastic_strain
  [../]
  [./tot_strain_xx]
    type = ElementAverageValue
    variable = tot_strain_xx
  [../]
  [./tot_strain_yy]
    type = ElementAverageValue
    variable = tot_strain_yy
  [../]
  [./tot_strain_zz]
    type = ElementAverageValue
    variable = tot_strain_zz
  [../]
  [./disp_x1]
    type = NodalVariableValue
    nodeid = 0
    variable = disp_x
  [../]
  [./disp_x4]
    type = NodalVariableValue
    nodeid = 3
    variable = disp_x
  [../]
  [./disp_y1]
    type = NodalVariableValue
    nodeid = 0
    variable = disp_y
  [../]
  [./disp_y4]
    type = NodalVariableValue
    nodeid = 3
    variable = disp_y
  [../]
  [./_dt]
    type = TimestepSize
  [../]
[]

[Outputs]
  exodus = true
  [./console]
    type = Console
    output_linear = true
  [../]
[] # Outputs

(modules/heat_transfer/test/tests/heat_conduction_patch/heat_conduction_patch_rz.i)

#
# This problem is taken from the Abaqus verification manual:
#   "1.5.8 Patch test for heat transfer elements"
#
# The temperature on the exterior nodes is -2e5+200x+100y.
#
# This gives a constant flux at all Gauss points.
#
# In addition, the temperature at all nodes follows the same formula.
#
# Node x         y          Temperature
#    1 1e3       0          0
#    2 1.00024e3 0          48
#    3 1.00018e3 3e-2       39
#    4 1.00004e3 2e-2       10
#    5 1.00008e3 8e-2       24
#    6 1e3       1.2e-1     12
#    7 1.00016e3 8e-2       40
#    8 1.00024e3 1.2e-1     60

[Problem]
  coord_type = RZ
[]

[Mesh]#Comment
  file = heat_conduction_patch_rz.e
[] # Mesh

[Functions]
  [./temps]
    type = ParsedFunction
    expression ='-2e5+200*x+100*y'
  [../]
[] # Functions

[Variables]

  [./temp]
    order = FIRST
    family = LAGRANGE
  [../]

[] # Variables

[Kernels]

  [./heat_r]
    type = HeatConduction
    variable = temp
  [../]

[] # Kernels

[BCs]

  [./temps]
    type = FunctionDirichletBC
    variable = temp
    boundary = 10
    function = temps
  [../]

[] # BCs

[Materials]

  [./heat]
    type = HeatConductionMaterial
    block = 1

    specific_heat = 0.116
    thermal_conductivity = 4.85e-4
  [../]

[] # Materials

[Executioner]

  type = Steady

  #Preconditioned JFNK (default)
  solve_type = 'PJFNK'



  petsc_options_iname = '-pc_type -ksp_gmres_restart'
  petsc_options_value = 'lu       101'


  line_search = 'none'


  nl_abs_tol = 1e-11
  nl_rel_tol = 1e-10


  l_max_its = 20

[] # Executioner

[Outputs]
  exodus = true
[] # Outputs

(test/tests/kernels/ad_mat_diffusion/2d_steady_state.i)

# This test solves a 2D steady state heat equation
# The error is found by comparing to the analytical solution

# Note that the thermal conductivity, specific heat, and density in this problem
# Are set to 1, and need to be changed to the constants of the material being
# Analyzed

[Mesh]
  type = GeneratedMesh
  dim = 2
  nx = 30
  ny = 30
  xmax = 2
  ymax = 2
[]

[Variables]
  [./T]
  [../]
[]

[Kernels]
  [./diff]
    type = MatDiffusion
    variable = T
    diffusivity = 1
  [../]
[]

[BCs]
  [./zero]
    type = DirichletBC
    variable = T
    boundary = 'left right bottom'
    value = 0
  [../]
  [./top]
    type = FunctionDirichletBC
    variable = T
    boundary = top
    function = '10*sin(pi*x*0.5)'
  [../]
[]

[Postprocessors]
  [./nodal_error]
    type = NodalL2Error
    function = '10/(sinh(pi))*sin(pi*x*0.5)*sinh(pi*y*0.5)'
    variable = T
    outputs = console
  [../]
  [./elemental_error]
    type = ElementL2Error
    function = '10/(sinh(pi))*sin(pi*x*0.5)*sinh(pi*y*0.5)'
    variable = T
    outputs = console
  [../]
[]

[Executioner]
  type = Steady
[]

[Outputs]
  exodus = true
[]

(modules/solid_mechanics/test/tests/strain_energy_density/rate_incr_model_elas_plas.i)

# Single element test to check the strain energy density calculation

[GlobalParams]
  displacements = 'disp_x disp_y'
  volumetric_locking_correction = true
[]

[Mesh]
  type = GeneratedMesh
  dim = 2
  nx = 1
  ny = 1
  xmin = 0
  xmax = 1
  ymin = 0
  ymax = 2
[]

[AuxVariables]
  [./SED]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]

[Functions]
  [./rampConstantUp]
    type = PiecewiseLinear
    x = '0. 1.'
    y = '0. 1.'
    scale_factor = -100
  [../]
  [./ramp_disp_y]
    type = PiecewiseLinear
    x = '0. 1. 2.'
    y = '0. 6.8e-6 1.36e-5'
  [../]
[]

[Physics/SolidMechanics/QuasiStatic]
  [./master]
    strain = SMALL
    add_variables = true
    incremental = true
    generate_output = 'stress_xx stress_yy stress_zz vonmises_stress elastic_strain_xx elastic_strain_yy elastic_strain_zz plastic_strain_xx plastic_strain_yy plastic_strain_zz strain_xx strain_yy strain_zz'
    planar_formulation = PLANE_STRAIN
  [../]
[]

[AuxKernels]
  [./SED]
    type = MaterialRealAux
    variable = SED
    property = strain_energy_density
    execute_on = timestep_end
  [../]
[]

[BCs]
  [./no_x]
    type = DirichletBC
    variable = disp_x
    preset = false
    boundary = 'left'
    value = 0.0
  [../]
  [./no_y]
    type = DirichletBC
    variable = disp_y
    preset = false
    boundary = 'bottom'
    value = 0.0
  [../]
  [./top_disp]
    type = FunctionDirichletBC
    variable = disp_y
    preset = false
    boundary = 'top'
    function = ramp_disp_y
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeIsotropicElasticityTensor
    youngs_modulus = 30e+6
    poissons_ratio = 0.3
  [../]
  [./elastic_stress]
    type = ComputeMultipleInelasticStress
    inelastic_models = 'isoplas'
  [../]
  [./isoplas]
    type = IsotropicPlasticityStressUpdate
    yield_stress = 1e2
    hardening_constant = 0.0
  [../]
  [./strain_energy_density]
    type = StrainEnergyDensity
    incremental = true
  [../]
[]

[Executioner]
   type = Transient

  petsc_options_iname = '-ksp_gmres_restart -pc_type -pc_hypre_type -pc_hypre_boomeramg_max_iter'
  petsc_options_value = '201                hypre    boomeramg      4'

  line_search = 'none'

   l_max_its = 50
   nl_max_its = 20
   nl_abs_tol = 3e-7
   nl_rel_tol = 1e-12
   l_tol = 1e-2

   start_time = 0.0
   dt = 1

   end_time = 2
   num_steps = 2
[]

[Postprocessors]
  [./epxx]
    type = ElementalVariableValue
    variable = elastic_strain_xx
    elementid = 0
  [../]
  [./epyy]
    type = ElementalVariableValue
    variable = elastic_strain_yy
    elementid = 0
  [../]
  [./epzz]
    type = ElementalVariableValue
    variable = elastic_strain_zz
    elementid = 0
  [../]
  [./eplxx]
    type = ElementalVariableValue
    variable = plastic_strain_xx
    elementid = 0
  [../]
  [./eplyy]
    type = ElementalVariableValue
    variable = plastic_strain_yy
    elementid = 0
  [../]
  [./eplzz]
    type = ElementalVariableValue
    variable = plastic_strain_zz
    elementid = 0
  [../]
  [./etxx]
    type = ElementalVariableValue
    variable = strain_xx
    elementid = 0
  [../]
  [./etyy]
    type = ElementalVariableValue
    variable = strain_yy
    elementid = 0
  [../]
  [./etzz]
    type = ElementalVariableValue
    variable = strain_zz
    elementid = 0
  [../]
  [./sigxx]
    type = ElementAverageValue
    variable = stress_xx
  [../]
  [./sigyy]
    type = ElementAverageValue
    variable = stress_yy
  [../]
  [./sigzz]
    type = ElementAverageValue
    variable = stress_zz
  [../]
  [./SED]
    type = ElementAverageValue
    variable = SED
  [../]
[]

[Outputs]
  csv = true
[]

(test/tests/time_integrators/multi_stage_time_integrator/unconverged_1st_stage.i)

# This test is designed to check that a time step solve should stop if *any*
# time integrator solve stage fails, not just the *last* stage. If a time
# integrator does not check convergence per stage, then a time step proceeds
# past intermediate stages without checking nonlinear convergence. This test
# is designed to check that the 2nd stage is never even entered by making it
# impossible for the first stage to converge.

[Mesh]
  type = GeneratedMesh
  dim = 1
  xmin = -1
  xmax = 1
  nx = 5
[]

[Functions]
  [./ic]
    type = ParsedFunction
    expression = 0
  [../]

  [./forcing_fn]
    type = ParsedFunction
    expression = x
  [../]

  [./exact_fn]
    type = ParsedFunction
    expression = t*x
  [../]
[]

[Variables]
  [./u]
  [../]
[]

[Kernels]
  [./time]
    type = TimeDerivative
    variable = u
  [../]

  [./diff]
    type = Diffusion
    variable = u
  [../]

  [./body]
    type = BodyForce
    variable = u
    function = forcing_fn
  [../]
[]

[ICs]
  [./u_ic]
    type = FunctionIC
    variable = u
    function = ic
  [../]
[]

[BCs]
  [./bcs]
    type = FunctionDirichletBC
    variable = u
    boundary = '0 1'
    function = exact_fn
  [../]
[]

[Executioner]
  type = Transient

  [./TimeIntegrator]
    type = LStableDirk2
  [../]
  num_steps = 1
  abort_on_solve_fail = true

  solve_type = NEWTON
  nl_max_its = 0
[]

(modules/solid_mechanics/test/tests/crystal_plasticity/user_object_based/fileread.i)

[Mesh]
  type = GeneratedMesh
  dim = 3
  elem_type = HEX8
  displacements = 'ux uy uz'
[]

[Variables]
  [./ux]
  [../]
  [./uy]
  [../]
  [./uz]
  [../]
[]

[AuxVariables]
  [./stress_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./fp_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./rotout]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./e_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./gss]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]

[Functions]
  [./tdisp]
    type = ParsedFunction
    expression = 0.01*t
  [../]
[]

[Kernels]
  [SolidMechanics]
    displacements = 'ux uy uz'
    use_displaced_mesh = true
  [../]
[]

[AuxKernels]
  [./stress_zz]
    type = RankTwoAux
    variable = stress_zz
    rank_two_tensor = stress
    index_j = 2
    index_i = 2
    execute_on = timestep_end
  [../]
  [./fp_zz]
    type = RankTwoAux
    variable = fp_zz
    rank_two_tensor = fp
    index_j = 2
    index_i = 2
    execute_on = timestep_end
  [../]
  [./e_zz]
    type = RankTwoAux
    variable = e_zz
    rank_two_tensor = lage
    index_j = 2
    index_i = 2
    execute_on = timestep_end
  [../]
  [./gss]
    type = MaterialStdVectorAux
    variable = gss
    property = state_var_gss
    index = 0
    execute_on = timestep_end
  [../]
[]

[BCs]
  [./symmy]
    type = DirichletBC
    variable = uy
    boundary = bottom
    value = 0
  [../]
  [./symmx]
    type = DirichletBC
    variable = ux
    boundary = left
    value = 0
  [../]
  [./symmz]
    type = DirichletBC
    variable = uz
    boundary = back
    value = 0
  [../]
  [./tdisp]
    type = FunctionDirichletBC
    variable = uz
    boundary = front
    function = tdisp
  [../]
[]

[UserObjects]
  [./slip_rate_gss]
    type = CrystalPlasticitySlipRateGSS
    variable_size = 12
    slip_sys_file_name = input_slip_sys.txt
    num_slip_sys_flowrate_props = 2
    flowprops = '1 4 0.001 0.1 5 8 0.001 0.1 9 12 0.001 0.1'
    uo_state_var_name = state_var_gss
  [../]
  [./slip_resistance_gss]
    type = CrystalPlasticitySlipResistanceGSS
    variable_size = 12
    uo_state_var_name = state_var_gss
  [../]
  [./state_var_gss]
    type = CrystalPlasticityStateVariable
    variable_size = 12
    intvar_read_type = file_input
    state_variable_file_name = input_state_variable.txt
    uo_state_var_evol_rate_comp_name = state_var_evol_rate_comp_gss
    scale_factor = 1.0
  [../]
  [./state_var_evol_rate_comp_gss]
    type = CrystalPlasticityStateVarRateComponentGSS
    variable_size = 12
    hprops = '1.0 541.5 109.8 2.5'
    uo_slip_rate_name = slip_rate_gss
    uo_state_var_name = state_var_gss
  [../]
[]

[Materials]
  [./crysp]
    type = FiniteStrainUObasedCP
    stol = 1e-2
    tan_mod_type = exact
    uo_slip_rates = 'slip_rate_gss'
    uo_slip_resistances = 'slip_resistance_gss'
    uo_state_vars = 'state_var_gss'
    uo_state_var_evol_rate_comps = 'state_var_evol_rate_comp_gss'
  [../]
  [./strain]
    type = ComputeFiniteStrain
    displacements = 'ux uy uz'
  [../]
  [./elasticity_tensor]
    type = ComputeElasticityTensorCP
    C_ijkl = '1.684e5 1.214e5 1.214e5 1.684e5 1.214e5 1.684e5 0.754e5 0.754e5 0.754e5'
    fill_method = symmetric9
  [../]
[]

[Postprocessors]
  [./stress_zz]
    type = ElementAverageValue
    variable = stress_zz
  [../]
  [./fp_zz]
    type = ElementAverageValue
    variable = fp_zz
  [../]
  [./e_zz]
    type = ElementAverageValue
    variable = e_zz
  [../]
  [./gss]
    type = ElementAverageValue
    variable = gss
  [../]
[]

[Preconditioning]
  [./smp]
    type = SMP
    full = true
  [../]
[]

[Executioner]
  type = Transient
  dt = 0.05
  solve_type = 'PJFNK'

  petsc_options_iname = -pc_hypre_type
  petsc_options_value = boomerang
  nl_abs_tol = 1e-10
  nl_rel_step_tol = 1e-10
  dtmax = 10.0
  nl_rel_tol = 1e-10
  end_time = 1
  dtmin = 0.05
  num_steps = 10
  nl_abs_step_tol = 1e-10
[]

[Outputs]
  exodus = true
[]

(modules/solid_mechanics/test/tests/truss/truss_3d_action.i)

[Mesh]
  type = FileMesh
  file = truss_3d.e
  displacements = 'disp_x disp_y disp_z'
[]

[AuxVariables]
 [./axial_stress]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./e_over_l]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./area]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./react_x]
    order = FIRST
    family = LAGRANGE
  [../]
  [./react_y]
    order = FIRST
    family = LAGRANGE
  [../]
  [./react_z]
    order = FIRST
    family = LAGRANGE
  [../]
[]

[Functions]
  [./x2]
    type = PiecewiseLinear
    x = '0  1 2 3'
    y = '0 .5 1 1'
  [../]
  [./y2]
    type = PiecewiseLinear
    x = '0 1  2 3'
    y = '0 0 .5 1'
  [../]
[]

[BCs]
  [./fixx1]
    type = DirichletBC
    variable = disp_x
    preset = false
    boundary = 1
    value = 0.0
  [../]
  [./fixx2]
    type = FunctionDirichletBC
    variable = disp_x
    preset = false
    boundary = 2
    function = x2
  [../]
  [./fixx3]
    type = DirichletBC
    variable = disp_x
    preset = false
    boundary = 3
    value = 0.0
  [../]
  [./fixy1]
    type = DirichletBC
    variable = disp_y
    preset = false
    boundary = 1
    value = 0
  [../]
  [./fixy2]
    type = FunctionDirichletBC
    variable = disp_y
    preset = false
    boundary = 2
    function = y2
  [../]
  [./fixy3]
    type = DirichletBC
    variable = disp_y
    preset = false
    boundary = 3
    value = 0
  [../]
  [./fixz1]
    type = DirichletBC
    variable = disp_z
    preset = false
    boundary = 1
    value = 0
  [../]
  [./fixz2]
    type = DirichletBC
    variable = disp_z
    preset = false
    boundary = 2
    value = 0
  [../]
  [./fixz3]
    type = DirichletBC
    variable = disp_z
    preset = false
    boundary = 3
    value = 0
  [../]
[]

[AuxKernels]
  [./axial_stress]
    type = MaterialRealAux
    block = '1 2'
    property = axial_stress
    variable = axial_stress
  [../]
  [./e_over_l]
    type = MaterialRealAux
    block = '1 2'
    property = e_over_l
    variable = e_over_l
  [../]
  [./area]
    type = ConstantAux
    block = '1 2'
    variable = area
    value = 1.0
    execute_on = 'initial timestep_begin'
  [../]
[]

[Executioner]
  type = Transient
  solve_type = PJFNK
  petsc_options_iname = '-pc_type -ksp_gmres_restart'
  petsc_options_value = 'jacobi   101'
  line_search = 'none'

  nl_max_its = 15
  nl_rel_tol = 1e-6
  nl_abs_tol = 1e-10

  dt = 1
  num_steps = 3
  end_time = 3
[]

[Physics/SolidMechanics/LineElement/QuasiStatic]
  [./block]
    truss = true
    add_variables = true
    displacements = 'disp_x disp_y disp_z'

    area = area

    block = '1 2'

    save_in = 'react_x react_y react_z'
  [../]
[]

[Materials]
  [./linelast]
    type = LinearElasticTruss
    block = '1 2'
    youngs_modulus = 1e6
    displacements = 'disp_x disp_y disp_z'
  [../]
[]

[Outputs]
  file_base = 'truss_3d_out'
  exodus = true
[]

(framework/contrib/hit/test/rules.i)

[ReplacementRules]

  [./function_dirichlet_to_preset]
    [./Match]
      [./BCs]
        [./<name>]
          type = FunctionDirichletBC
          variable = <var>
          function = <func>
          boundary = <boundary>
        [../]
      [../]
    [../]
    [./Replace]
      [./BCs]
        [./<name>]
          type = FunctionPresetBC
          variable = <var>
          function = <func>
          boundary = <boundary>
        [../]
      [../]
    [../]
  [../]

[]

(modules/solid_mechanics/test/tests/capped_mohr_coulomb/small_deform3.i)

# Using CappedMohrCoulomb with tensile failure only
# checking for small deformation
# A single element is stretched by "ep" in the z and x directions
# This causes the return direction to be along the hypersurface sigma_I = sigma_II
# where sigma_I = (E_2222 + E_2200) * ep
# tensile_strength is set to 1Pa, smoothing_tol = 0.1Pa
# The smoothed yield function is
# yf = sigma_I + ismoother(0) - tensile_strength
#    = sigma_I + (0.5 * smoothing_tol - smoothing_tol / Pi) - tensile_strength
#    = sigma_I - 0.98183
#
# With zero Poisson's ratio, the return stress will be
# stress_00 = stress_22 = 0.98183
# with all other stress components being zero

[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]

[Physics/SolidMechanics/QuasiStatic]
  [./all]
    add_variables = true
    incremental = true
    generate_output = 'max_principal_stress mid_principal_stress min_principal_stress stress_xx stress_xy stress_xz stress_yy stress_yz stress_zz'
  [../]
[]

[BCs]
  [./x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'front back'
    function = '0.25E-6*x'
  [../]
  [./y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'front back'
    function = '0'
  [../]
  [./z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'front back'
    function = '0.25E-6*z'
  [../]
[]

[AuxVariables]
  [./yield_fcn]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]

[AuxKernels]
  [./yield_fcn_auxk]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 0
    variable = yield_fcn
  [../]
[]

[Postprocessors]
  [./s_xx]
    type = PointValue
    point = '0 0 0'
    variable = stress_xx
  [../]
  [./s_xy]
    type = PointValue
    point = '0 0 0'
    variable = stress_xy
  [../]
  [./s_xz]
    type = PointValue
    point = '0 0 0'
    variable = stress_xz
  [../]
  [./s_yy]
    type = PointValue
    point = '0 0 0'
    variable = stress_yy
  [../]
  [./s_yz]
    type = PointValue
    point = '0 0 0'
    variable = stress_yz
  [../]
  [./s_zz]
    type = PointValue
    point = '0 0 0'
    variable = stress_zz
  [../]
  [./f]
    type = PointValue
    point = '0 0 0'
    variable = yield_fcn
  [../]
[]

[UserObjects]
  [./ts]
    type = SolidMechanicsHardeningConstant
    value = 1
  [../]
  [./coh]
    type = SolidMechanicsHardeningConstant
    value = 1E6
  [../]
  [./ang]
    type = SolidMechanicsHardeningConstant
    value = 0.5
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    block = 0
    fill_method = symmetric_isotropic
    C_ijkl = '0 2.0E6'
  [../]
  [./tensile]
    type = CappedMohrCoulombStressUpdate
    tensile_strength = ts
    compressive_strength = ts
    cohesion = coh
    friction_angle = ang
    dilation_angle = ang
    smoothing_tol = 0.1
    yield_function_tol = 1.0E-12
  [../]
  [./stress]
    type = ComputeMultipleInelasticStress
    inelastic_models = tensile
    perform_finite_strain_rotations = false
  [../]
[]


[Executioner]
  end_time = 1
  dt = 1
  type = Transient
[]


[Outputs]
  file_base = small_deform3
  csv = true
[]

(modules/peridynamics/test/tests/simple_tests/2D_regularD_variableH_BPD.i)

# Test for bond-based peridynamic formulation
# for regular grid from generated mesh with varying bond constants

# Square plate with Dirichlet boundary conditions applied
# at the left, top and bottom edges

[GlobalParams]
  displacements = 'disp_x disp_y'
[]

[Mesh]
  type = PeridynamicsMesh
  horizon_number = 3

  [./gmg]
    type = GeneratedMeshGenerator
    dim = 2
    nx = 4
    ny = 4
  [../]
  [./gpd]
    type = MeshGeneratorPD
    input = gmg
    retain_fe_mesh = false
  [../]
[]

[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
[]

[BCs]
  [./left_x]
    type = DirichletBC
    variable = disp_x
    boundary = 1003
    value = 0.0
  [../]
  [./top_y]
    type = DirichletBC
    variable = disp_y
    boundary = 1002
    value = 0.0
  [../]
  [./bottom_y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 1000
    function = '-0.001*t'
  [../]
[]

[Modules/Peridynamics/Mechanics/Master]
  [./all]
    formulation = BOND
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeIsotropicElasticityTensor
    youngs_modulus = 2e5
    poissons_ratio = 0.33
  [../]

  [./force_density]
    type = ComputeSmallStrainVariableHorizonMaterialBPD
  [../]
[]

[Preconditioning]
  [./SMP]
    type = SMP
    full = true
  [../]
[]

[Executioner]
  type = Transient
  solve_type = PJFNK
  line_search = none
  start_time = 0
  end_time = 1
[]

[Outputs]
  file_base = 2D_regularD_variableH_BPD
  exodus = true
[]

(modules/porous_flow/examples/tidal/atm_tides.i)

# A 10m x 10m "column" of height 100m is subjected to cyclic pressure at its top
# Assumptions:
# the boundaries are impermeable, except the top boundary
# only vertical displacement is allowed
# the atmospheric pressure sets the total stress at the top of the model
[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 10
  xmin = 0
  xmax = 10
  ymin = 0
  ymax = 10
  zmin = -100
  zmax = 0
[]

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
  PorousFlowDictator = dictator
  block = 0
  biot_coefficient = 0.6
  multiply_by_density = false
[]

[Variables]
  [disp_x]
  []
  [disp_y]
  []
  [disp_z]
  []
  [porepressure]
    scaling = 1E11
  []
[]

[ICs]
  [porepressure]
    type = FunctionIC
    variable = porepressure
    function = '-10000*z'  # approximately correct
  []
[]

[Functions]
  [ini_stress_zz]
    type = ParsedFunction
    expression = '(25000 - 0.6*10000)*z' # remember this is effective stress
  []
  [cyclic_porepressure]
    type = ParsedFunction
    expression = 'if(t>0,5000 * sin(2 * pi * t / 3600.0 / 24.0),0)'
  []
  [neg_cyclic_porepressure]
    type = ParsedFunction
    expression = '-if(t>0,5000 * sin(2 * pi * t / 3600.0 / 24.0),0)'
  []
[]

[BCs]
  # zmin is called 'back'
  # zmax is called 'front'
  # ymin is called 'bottom'
  # ymax is called 'top'
  # xmin is called 'left'
  # xmax is called 'right'
  [no_x_disp]
    type = DirichletBC
    variable = disp_x
    value = 0
    boundary = 'bottom top' # because of 1-element meshing, this fixes u_x=0 everywhere
  []
  [no_y_disp]
    type = DirichletBC
    variable = disp_y
    value = 0
    boundary = 'bottom top' # because of 1-element meshing, this fixes u_y=0 everywhere
  []
  [no_z_disp_at_bottom]
    type = DirichletBC
    variable = disp_z
    value = 0
    boundary = back
  []
  [pp]
    type = FunctionDirichletBC
    variable = porepressure
    function = cyclic_porepressure
    boundary = front
  []
  [total_stress_at_top]
    type = FunctionNeumannBC
    variable = disp_z
    function = neg_cyclic_porepressure
    boundary = front
  []
[]

[FluidProperties]
  [the_simple_fluid]
    type = SimpleFluidProperties
    thermal_expansion = 0.0
    bulk_modulus = 2E9
    viscosity = 1E-3
    density0 = 1000.0
  []
[]

[PorousFlowBasicTHM]
  coupling_type = HydroMechanical
  displacements = 'disp_x disp_y disp_z'
  porepressure = porepressure
  gravity = '0 0 -10'
  fp = the_simple_fluid
[]

[Materials]
  [elasticity_tensor]
    type = ComputeIsotropicElasticityTensor
    bulk_modulus = 10.0E9 # drained bulk modulus
    poissons_ratio = 0.25
  []
  [strain]
    type = ComputeSmallStrain
    eigenstrain_names = ini_stress
  []
  [stress]
    type = ComputeLinearElasticStress
  []
  [ini_stress]
    type = ComputeEigenstrainFromInitialStress
    initial_stress = '0 0 0  0 0 0  0 0 ini_stress_zz'
    eigenstrain_name = ini_stress
  []
  [porosity]
    type = PorousFlowPorosityConst # only the initial value of this is ever used
    porosity = 0.1
  []
  [biot_modulus]
    type = PorousFlowConstantBiotModulus
    solid_bulk_compliance = 1E-10
    fluid_bulk_modulus = 2E9
  []
  [permeability]
    type = PorousFlowPermeabilityConst
    permeability = '1E-12 0 0   0 1E-12 0   0 0 1E-14'
  []
  [density]
    type = GenericConstantMaterial
    prop_names = density
    prop_values = 2500.0
  []
[]

[Postprocessors]
  [p0]
    type = PointValue
    outputs = csv
    point = '0 0 0'
    variable = porepressure
  []
  [uz0]
    type = PointValue
    outputs = csv
    point = '0 0 0'
    variable = disp_z
  []
  [p100]
    type = PointValue
    outputs = csv
    point = '0 0 -100'
    variable = porepressure
  []
[]


[Preconditioning]
  [andy]
    type = SMP
    full = true
  []
[]

[Executioner]
  type = Transient
  solve_type = Newton
  start_time = -3600 # so postprocessors get recorded correctly at t=0
  dt = 3600
  end_time = 360000
  nl_abs_tol = 5E-7
  nl_rel_tol = 1E-10
[]

[Outputs]
  csv = true
[]

(modules/contact/test/tests/verification/hertz_cyl/half_symm_q8/hertz_cyl_half_1deg_template3.i)

[GlobalParams]
  order = SECOND
  volumetric_locking_correction = false
  displacements = 'disp_x disp_y'
[]

[Mesh]
  file = hertz_cyl_half_1deg.e
[]

[Problem]
  type = ReferenceResidualProblem
  extra_tag_vectors = 'ref'
  reference_vector = 'ref'
[]

[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
[]

[AuxVariables]
  [./stress_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./saved_x]
  [../]
  [./saved_y]
  [../]
  [./diag_saved_x]
  [../]
  [./diag_saved_y]
  [../]
  [./inc_slip_x]
  [../]
  [./inc_slip_y]
  [../]
  [./accum_slip_x]
  [../]
  [./accum_slip_y]
  [../]
  [./tang_force_x]
  [../]
  [./tang_force_y]
  [../]
[]

[Functions]
  [./disp_ramp_vert]
    type = PiecewiseLinear
    x = '0. 1. 11.'
    y = '0. -0.0020 -0.0020'
  [../]
  [./disp_ramp_horz]
    type = PiecewiseLinear
    x = '0. 1. 11.'
    y = '0. 0.0 0.0014'
  [../]
[]

[Kernels]
  [./TensorMechanics]
    use_displaced_mesh = true
    save_in = 'saved_x saved_y'
    extra_vector_tags = 'ref'
  [../]
[]

[AuxKernels]
  [./stress_xx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xx
    index_i = 0
    index_j = 0
    execute_on = timestep_end
  [../]
  [./stress_yy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yy
    index_i = 1
    index_j = 1
    execute_on = timestep_end
  [../]
  [./stress_xy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xy
    index_i = 0
    index_j = 1
    execute_on = timestep_end
  [../]
  [./inc_slip_x]
    type = PenetrationAux
    variable = inc_slip_x
    execute_on = timestep_end
    boundary = 3
    paired_boundary = 2
  [../]
  [./inc_slip_y]
    type = PenetrationAux
    variable = inc_slip_y
    execute_on = timestep_end
    boundary = 3
    paired_boundary = 2
  [../]
  [./accum_slip_x]
    type = PenetrationAux
    variable = accum_slip_x
    execute_on = timestep_end
    boundary = 3
    paired_boundary = 2
  [../]
  [./accum_slip_y]
    type = PenetrationAux
    variable = accum_slip_y
    execute_on = timestep_end
    boundary = 3
    paired_boundary = 2
  [../]
  [./tang_force_x]
    type = PenetrationAux
    variable = tang_force_x
    quantity = tangential_force_x
    boundary = 3
    paired_boundary = 2
  [../]
  [./tang_force_y]
    type = PenetrationAux
    variable = tang_force_y
    quantity = tangential_force_y
    boundary = 3
    paired_boundary = 2
  [../]
  [./penetration]
    type = PenetrationAux
    variable = penetration
    boundary = 3
    paired_boundary = 2
  [../]
[]

[Postprocessors]
  [./bot_react_x]
    type = NodalSum
    variable = saved_x
    boundary = 1
  [../]
  [./bot_react_y]
    type = NodalSum
    variable = saved_y
    boundary = 1
  [../]
  [./top_react_x]
    type = NodalSum
    variable = saved_x
    boundary = 4
  [../]
  [./top_react_y]
    type = NodalSum
    variable = saved_y
    boundary = 4
  [../]
  [./disp_x639]
    type = NodalVariableValue
    nodeid = 638
    variable = disp_x
  [../]
  [./disp_y639]
    type = NodalVariableValue
    nodeid = 638
    variable = disp_y
  [../]
  [./_dt]
    type = TimestepSize
  [../]
  [./num_lin_it]
    type = NumLinearIterations
  [../]
  [./num_nonlin_it]
    type = NumNonlinearIterations
  [../]
[]

[BCs]
  [./side_x]
    type = DirichletBC
    variable = disp_y
    boundary = '1 2'
    value = 0.0
  [../]
  [./bot_y]
    type = DirichletBC
    variable = disp_x
    boundary = '1 2'
    value = 0.0
  [../]
  [./top_y_disp]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 4
    function = disp_ramp_vert
  [../]
  [./top_x_disp]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 4
    function = disp_ramp_horz
  [../]
[]

[Materials]
  [./stuff1_elas_tens]
    type = ComputeIsotropicElasticityTensor
    block = '1'
    youngs_modulus = 1e10
    poissons_ratio = 0.0
  [../]
  [./stuff1_strain]
    type = ComputeFiniteStrain
    block = '1'
  [../]
  [./stuff1_stress]
    type = ComputeFiniteStrainElasticStress
    block = '1'
  [../]
  [./stuff2_elas_tens]
    type = ComputeIsotropicElasticityTensor
    block = '2'
    youngs_modulus = 1e6
    poissons_ratio = 0.3
  [../]
  [./stuff2_strain]
    type = ComputeFiniteStrain
    block = '2'
  [../]
  [./stuff2_stress]
    type = ComputeFiniteStrainElasticStress
    block = '2'
  [../]
  [./stuff3_elas_tens]
    type = ComputeIsotropicElasticityTensor
    block = '3'
    youngs_modulus = 1e6
    poissons_ratio = 0.3
  [../]
  [./stuff3_strain]
    type = ComputeFiniteStrain
    block = '3'
  [../]
  [./stuff3_stress]
    type = ComputeFiniteStrainElasticStress
    block = '3'
  [../]
  [./stuff4_elas_tens]
    type = ComputeIsotropicElasticityTensor
    block = '4'
    youngs_modulus = 1e6
    poissons_ratio = 0.3
  [../]
  [./stuff4_strain]
    type = ComputeFiniteStrain
    block = '4'
  [../]
  [./stuff4_stress]
    type = ComputeFiniteStrainElasticStress
    block = '4'
  [../]
  [./stuff5_elas_tens]
    type = ComputeIsotropicElasticityTensor
    block = '5'
    youngs_modulus = 1e6
    poissons_ratio = 0.3
  [../]
  [./stuff5_strain]
    type = ComputeFiniteStrain
    block = '5'
  [../]
  [./stuff5_stress]
    type = ComputeFiniteStrainElasticStress
    block = '5'
  [../]
  [./stuff6_elas_tens]
    type = ComputeIsotropicElasticityTensor
    block = '6'
    youngs_modulus = 1e6
    poissons_ratio = 0.3
  [../]
  [./stuff6_strain]
    type = ComputeFiniteStrain
    block = '6'
  [../]
  [./stuff6_stress]
    type = ComputeFiniteStrainElasticStress
    block = '6'
  [../]
  [./stuff7_elas_tens]
    type = ComputeIsotropicElasticityTensor
    block = '7'
    youngs_modulus = 1e6
    poissons_ratio = 0.3
  [../]
  [./stuff7_strain]
    type = ComputeFiniteStrain
    block = '7'
  [../]
  [./stuff7_stress]
    type = ComputeFiniteStrainElasticStress
    block = '7'
  [../]
[]

[Executioner]
  type = Transient
  solve_type = 'PJFNK'

  petsc_options_iname = '-pc_type -pc_factor_mat_solver_type'
  petsc_options_value = 'lu     superlu_dist'

  line_search = 'none'

  nl_abs_tol = 1e-7
  nl_rel_tol = 1e-6
  l_max_its = 100
  nl_max_its = 200

  start_time = 0.0
  end_time = 2.0
  l_tol = 5e-4
  dt = 0.1
  dtmin = 0.1
[]

[Preconditioning]
  [./SMP]
    type = SMP
    full = true
  [../]
[]

[VectorPostprocessors]
  [./x_disp]
    type = NodalValueSampler
    variable = disp_x
    boundary = '3 4'
    sort_by = id
  [../]
  [./y_disp]
    type = NodalValueSampler
    variable = disp_y
    boundary = '3 4'
    sort_by = id
  [../]
  [./cont_press]
    type = NodalValueSampler
    variable = contact_pressure
    boundary = '3'
    sort_by = id
  [../]
[]

[Outputs]
  print_linear_residuals = true
  perf_graph = true
  [./exodus]
    type = Exodus
    elemental_as_nodal = true
  [../]
  [./console]
    type = Console
    max_rows = 5
  [../]
  [./chkfile]
    type = CSV
    show = 'x_disp y_disp cont_press'
    start_time = 0.9
    execute_vector_postprocessors_on = timestep_end
  [../]
  [./chkfile2]
    type = CSV
    show = 'bot_react_x bot_react_y disp_x639 disp_y639 top_react_x top_react_y'
    start_time = 0.9
    execute_vector_postprocessors_on = timestep_end
  [../]
  [./outfile]
    type = CSV
    delimiter = ' '
    execute_vector_postprocessors_on = none
  [../]
[]

[Contact]
  [./interface]
    primary = 2
    secondary = 3
    model = coulomb
    friction_coefficient = 0.0
    formulation = penalty
    normalize_penalty = true
    tangential_tolerance = 1e-3
    penalty = 1e+9
  [../]
[]

[Dampers]
  [./contact_slip]
    type = ContactSlipDamper
    primary = '2'
    secondary = '3'
  [../]
[]

(modules/contact/test/tests/tension_release/4ElemTensionRelease.i)

[Mesh]
  file = 4ElemTensionRelease.e
[]

[GlobalParams]
  displacements = 'disp_x disp_y'
  volumetric_locking_correction = false
[]

[Functions]
  [./up]
    type = PiecewiseLinear
    x = '0 1      2 3'
    y = '0 0.0001 0 -.0001'
  [../]
[]

[Physics/SolidMechanics/QuasiStatic]
  [./all]
    add_variables = true
    strain = FINITE
  []
[]

[Contact]
  [./dummy_name]
    primary = 2
    secondary = 3
    penalty = 1e6
    model = frictionless
    tangential_tolerance = 0.01
  [../]
[]

[BCs]
  [./lateral]
    type = DirichletBC
    variable = disp_x
    boundary = '1 4'
    value = 0
  [../]

  [./bottom_up]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 1
    function = up
  [../]

  [./top]
    type = DirichletBC
    variable = disp_y
    boundary = 4
    value = 0.0
  [../]
[]

[Materials]
  [./stiffStuff1]
    type = ComputeIsotropicElasticityTensor
    block = '1 2'
    youngs_modulus = 1.0e6
    poissons_ratio = 0.3
  [../]
  [./stiffStuff1_stress]
    type = ComputeFiniteStrainElasticStress
    block = '1 2'
  [../]
[]

[Executioner]
  type = Transient
  solve_type = 'PJFNK'
  petsc_options_iname = '-pc_type -pc_hypre_type -ksp_gmres_restart'
  petsc_options_value = 'hypre    boomeramg      101'

  line_search = 'none'
  nl_rel_tol = 1e-8
  nl_abs_tol = 1e-8
  l_tol = 1e-4

  l_max_its = 100
  nl_max_its = 10
  dt = 0.2
  dtmin = 0.2
  end_time = 3

  [./Predictor]
    type = SimplePredictor
    scale = 1.0
  [../]
[]

[Outputs]
  exodus = true
[]

(test/tests/ics/from_exodus_solution/nodal_part2.i)

# Use the exodus file for restarting the problem:
# - restart one variable
# - and have one extra variable with IC
#

[Mesh]
  file = out_nodal_part1.e
[]

[Functions]
  [exact_fn]
    type = ParsedFunction
    expression = ((x*x)+(y*y))
  []

  [forcing_fn]
    type = ParsedFunction
    expression = -4
  []
[]

[Variables]
  active = 'u v'

  [u]
    order = FIRST
    family = LAGRANGE
    initial_from_file_var = u
    initial_from_file_timestep = 6
  []

  [v]
    order = FIRST
    family = LAGRANGE
    [InitialCondition]
      type = BoundingBoxIC
      x1 = 0.0
      x2 = 1.0
      y1 = 0.0
      y2 = 1.0
      inside = 3.0
      outside = 1.0
    []
  []
[]

[Problem]
  allow_initial_conditions_with_restart = true
[]

[Kernels]
  [diff]
    type = Diffusion
    variable = u
  []

  [ffn]
    type = BodyForce
    variable = u
    function = forcing_fn
  []

  [diff_v]
    type = Diffusion
    variable = v
  []
[]

[BCs]
  [all]
    type = FunctionDirichletBC
    variable = u
    boundary = '0 1 2 3'
    function = exact_fn
  []

  [left_v]
    type = DirichletBC
    variable = v
    boundary = '3'
    value = 0
  []

  [right_v]
    type = DirichletBC
    variable = v
    boundary = '1'
    value = 1
  []
[]

[Executioner]
  type = Steady

  solve_type = 'PJFNK'
[]

[Outputs]
  file_base = out_nodal_var_restart
  exodus = true
[]

(test/tests/geomsearch/3d_moving_penetration/pl_test1qtt.i)

[GlobalParams]
  order = SECOND
  family = LAGRANGE
[]

[Mesh]
  file = pl_test1qtt.e
  displacements = 'disp_x disp_y disp_z'
[]

[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
[]

[AuxVariables]
  [./distance]
  [../]
  [./tangential_distance]
  [../]
  [./normal_x]
  [../]
  [./normal_y]
  [../]
  [./normal_z]
  [../]
  [./closest_point_x]
  [../]
  [./closest_point_y]
  [../]
  [./closest_point_z]
  [../]
  [./element_id]
  [../]
  [./side]
  [../]
[]

[Kernels]
  [./diff_x]
    type = Diffusion
    variable = disp_x
  [../]
  [./diff_y]
    type = Diffusion
    variable = disp_y
  [../]
  [./diff_z]
    type = Diffusion
    variable = disp_z
  [../]
[]

[AuxKernels]
  [./penetrate]
    type = PenetrationAux
    variable = distance
    boundary = 11            #secondary
    paired_boundary = 12     #primary
    tangential_tolerance = 0.1
  [../]

  [./penetrate2]
    type = PenetrationAux
    variable = distance
    boundary = 12            #secondary
    paired_boundary = 11     #primary
    tangential_tolerance = 0.1
  [../]

  [./penetrate3]
    type = PenetrationAux
    variable = tangential_distance
    boundary = 11
    paired_boundary = 12
    quantity = tangential_distance
  [../]

  [./penetrate4]
    type = PenetrationAux
    variable = tangential_distance
    boundary = 12
    paired_boundary = 11
    quantity = tangential_distance
  [../]

  [./penetrate5]
    type = PenetrationAux
    variable = normal_x
    boundary = 11
    paired_boundary = 12
    quantity = normal_x
  [../]

  [./penetrate6]
    type = PenetrationAux
    variable = normal_x
    boundary = 12
    paired_boundary = 11
    quantity = normal_x
  [../]

  [./penetrate7]
    type = PenetrationAux
    variable = normal_y
    boundary = 11
    paired_boundary = 12
    quantity = normal_y
  [../]

  [./penetrate8]
    type = PenetrationAux
    variable = normal_y
    boundary = 12
    paired_boundary = 11
    quantity = normal_y
  [../]

  [./penetrate9]
    type = PenetrationAux
    variable = normal_z
    boundary = 11
    paired_boundary = 12
    quantity = normal_z
  [../]

  [./penetrate10]
    type = PenetrationAux
    variable = normal_z
    boundary = 12
    paired_boundary = 11
    quantity = normal_z
  [../]

  [./penetrate11]
    type = PenetrationAux
    variable = closest_point_x
    boundary = 11
    paired_boundary = 12
    quantity = closest_point_x
  [../]

  [./penetrate12]
    type = PenetrationAux
    variable = closest_point_x
    boundary = 12
    paired_boundary = 11
    quantity = closest_point_x
  [../]

  [./penetrate13]
    type = PenetrationAux
    variable = closest_point_y
    boundary = 11
    paired_boundary = 12
    quantity = closest_point_y
  [../]

  [./penetrate14]
    type = PenetrationAux
    variable = closest_point_y
    boundary = 12
    paired_boundary = 11
    quantity = closest_point_y
  [../]

  [./penetrate15]
    type = PenetrationAux
    variable = closest_point_z
    boundary = 11
    paired_boundary = 12
    quantity = closest_point_z
  [../]

  [./penetrate16]
    type = PenetrationAux
    variable = closest_point_z
    boundary = 12
    paired_boundary = 11
    quantity = closest_point_z
  [../]

  [./penetrate17]
    type = PenetrationAux
    variable = element_id
    boundary = 11
    paired_boundary = 12
    quantity = element_id
  [../]

  [./penetrate18]
    type = PenetrationAux
    variable = element_id
    boundary = 12
    paired_boundary = 11
    quantity = element_id
  [../]

  [./penetrate19]
    type = PenetrationAux
    variable = side
    boundary = 11
    paired_boundary = 12
    quantity = side
  [../]

  [./penetrate20]
    type = PenetrationAux
    variable = side
    boundary = 12
    paired_boundary = 11
    quantity = side
  [../]
[]

[BCs]
  [./b1x]
    type = DirichletBC
    variable = disp_x
    boundary = 1
    value = 0
  [../]

  [./b1y]
    type = DirichletBC
    variable = disp_y
    boundary = 1
    value = 0
  [../]

  [./b1z]
    type = DirichletBC
    variable = disp_z
    boundary = 1
    value = 0
  [../]

  [./b2x]
    type = DirichletBC
    variable = disp_x
    boundary = 2
    value = 0
  [../]

  [./b2y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 2
    function = disp_y
  [../]

  [./b2z]
    type = DirichletBC
    variable = disp_z
    boundary = 2
    value = 0
  [../]
[]

[Functions]
  [./disp_y]
    type = PiecewiseLinear
    x = '0.0 0.25 0.75 1.0'
    y = '0.0 0.7 -0.7  0.0'
  [../]
[]

[Executioner]
  type = Transient

  solve_type = 'PJFNK'
  petsc_options = '-snes_ksp_ew'

  nl_rel_tol = 1e-9
  l_max_its = 10

  start_time = 0.0
  dt = 0.06
  end_time = 1.0
  [./Quadrature]
    order = THIRD
  [../]
[]

[Outputs]
  file_base = pl_test1qtt_out
  exodus = true
[]

(tutorials/darcy_thermo_mech/step07_adaptivity/problems/step7c_adapt.i)

[Mesh]
  [gmg]
    type = GeneratedMeshGenerator
    dim = 2
    nx = 30
    ny = 3
    xmax = 0.304 # Length of test chamber
    ymax = 0.0257 # Test chamber radius
  []
  coord_type = RZ
  rz_coord_axis = X
  uniform_refine = 3
[]

[Variables]
  [pressure]
  []
  [temperature]
    initial_condition = 300 # Start at room temperature
  []
[]

[Kernels]
  [darcy_pressure]
    type = DarcyPressure
    variable = pressure
  []
  [heat_conduction]
    type = ADHeatConduction
    variable = temperature
  []
  [heat_conduction_time_derivative]
    type = ADHeatConductionTimeDerivative
    variable = temperature
  []
  [heat_convection]
    type = DarcyAdvection
    variable = temperature
    pressure = pressure
  []
[]

[BCs]
  [inlet_temperature]
    type = FunctionDirichletBC
    variable = temperature
    boundary = left
    function = 'if(t<0,350+50*t,350)'
  []
  [outlet_temperature]
    type = HeatConductionOutflow
    variable = temperature
    boundary = right
  []
  [inlet]
    type = DirichletBC
    variable = pressure
    boundary = left
    value = 4000 # (Pa) From Figure 2 from paper.  First data point for 1mm spheres.
  []
  [outlet]
    type = DirichletBC
    variable = pressure
    boundary = right
    value = 0 # (Pa) Gives the correct pressure drop from Figure 2 for 1mm spheres
  []
[]

[Materials/column]
  type = PackedColumn
  temperature = temperature
  radius = 1
[]

[AuxVariables/velocity]
  order = CONSTANT
  family = MONOMIAL_VEC
[]

[AuxKernels/velocity]
  type = DarcyVelocity
  variable = velocity
  execute_on = timestep_end
  pressure = pressure
[]

[Problem]
  type = FEProblem
[]

[Executioner]
  type = Transient
  end_time = 100
  dt = 0.25
  start_time = -1

  solve_type = NEWTON
  petsc_options_iname = '-pc_type -pc_hypre_type'
  petsc_options_value = 'hypre boomeramg'

  automatic_scaling = true
  steady_state_tolerance = 1e-5
  steady_state_detection = true

  [TimeStepper]
    type = FunctionDT
    function = 'if(t<0,0.1,0.25)'
  []
[]

[Outputs]
  exodus = true
[]

[Adaptivity]
  marker = error_frac
  max_h_level = 3
  [Indicators/temperature_jump]
    type = GradientJumpIndicator
    variable = temperature
    scale_by_flux_faces = true
  []
  [Markers/error_frac]
    type = ErrorFractionMarker
    coarsen = 0.15
    indicator = temperature_jump
    refine = 0.7
  []
[]

(modules/solid_mechanics/test/tests/postprocessors/sideset_reaction/sideset_reaction.i)

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]

[Problem]
  extra_tag_vectors = 'ref'
[]

[Mesh]
  [gmg]
    type = GeneratedMeshGenerator
    dim = 3
    nx = 1
    ny = 1
    nz = 1
  []
[]

[Postprocessors]
  [./react_x]
    type = SidesetReaction
    direction = '1 0 0'
    stress_tensor = stress
    boundary = right
  [../]
[]

[Physics/SolidMechanics/QuasiStatic]
  [plane_strain]
    strain = FINITE
    extra_vector_tags = 'ref'
    add_variables = true
  []
[]

[BCs]
  [leftx]
    type = DirichletBC
    boundary = left
    variable = disp_x
    value = 0.0
  []
  [bottomy]
    type = DirichletBC
    boundary = bottom
    variable = disp_y
    value = 0.0
  []
  [backz]
    type = DirichletBC
    boundary = back
    variable = disp_z
    value = 0.0
  []
  [rightx]
    type = FunctionDirichletBC
    boundary = right
    variable = disp_x
    function = 't'
  []
[]

[Materials]
  [elasticity_tensor]
    type = ComputeIsotropicElasticityTensor
    poissons_ratio = 0.3
    youngs_modulus = 1e6
  []
  [stress]
    type = ComputeFiniteStrainElasticStress
  []
[]

[Executioner]
  type = Transient
  line_search = none

  nl_rel_tol = 1e-12
  nl_abs_tol = 1e-10

  # time control
  start_time = 0.0
  dt = 0.01
  dtmin = 0.01
  end_time = 0.2
[]

[Outputs]
  csv = true
[]

(modules/contact/test/tests/mortar_aux_kernels/pressure-aux-frictionless-3d.i)

starting_point = 0.25
offset = 0.00

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
  diffusivity = 1e0
  scaling = 1e0
[]

[Problem]
  # error_on_jacobian_nonzero_reallocation = true
[]

[Mesh]
  second_order = false
  [top_block]
    type = GeneratedMeshGenerator
    dim = 3
    nx = 3
    ny = 3
    nz = 3
    xmin = -0.25
    xmax = 0.25
    ymin = -0.25
    ymax = 0.25
    zmin = -0.25
    zmax = 0.25
    elem_type = HEX8
  []
  [rotate_top_block]
    type = TransformGenerator
    input = top_block
    transform = ROTATE
    vector_value = '0 0 0'
  []
  [top_block_sidesets]
    type = RenameBoundaryGenerator
    input = rotate_top_block
    old_boundary = '0 1 2 3 4 5'
    new_boundary = 'top_bottom top_back top_right top_front top_left top_top'
  []
  [top_block_id]
    type = SubdomainIDGenerator
    input = top_block_sidesets
    subdomain_id = 1
  []
  [bottom_block]
    type = GeneratedMeshGenerator
    dim = 3
    nx = 10
    ny = 10
    nz = 2
    xmin = -.5
    xmax = .5
    ymin = -.5
    ymax = .5
    zmin = -.3
    zmax = -.25
    elem_type = HEX8
  []
  [bottom_block_id]
    type = SubdomainIDGenerator
    input = bottom_block
    subdomain_id = 2
  []
  [bottom_block_change_boundary_id]
    type = RenameBoundaryGenerator
    input = bottom_block_id
    old_boundary = '0 1 2 3 4 5'
    new_boundary = '100 101 102 103 104 105'
  []
  [combined]
    type = MeshCollectionGenerator
    inputs = 'top_block_id bottom_block_change_boundary_id'
  []
  [block_rename]
    type = RenameBlockGenerator
    input = combined
    old_block = '1 2'
    new_block = 'top_block bottom_block'
  []
  [bottom_right_sideset]
    type = SideSetsAroundSubdomainGenerator
    input = block_rename
    new_boundary = bottom_right
    block = bottom_block
    normal = '1 0 0'
  []
  [bottom_left_sideset]
    type = SideSetsAroundSubdomainGenerator
    input = bottom_right_sideset
    new_boundary = bottom_left
    block = bottom_block
    normal = '-1 0 0'
  []
  [bottom_top_sideset]
    type = SideSetsAroundSubdomainGenerator
    input = bottom_left_sideset
    new_boundary = bottom_top
    block = bottom_block
    normal = '0 0 1'
  []
  [bottom_bottom_sideset]
    type = SideSetsAroundSubdomainGenerator
    input = bottom_top_sideset
    new_boundary = bottom_bottom
    block = bottom_block
    normal = '0  0 -1'
  []
  [bottom_front_sideset]
    type = SideSetsAroundSubdomainGenerator
    input = bottom_bottom_sideset
    new_boundary = bottom_front
    block = bottom_block
    normal = '0 1 0'
  []
  [bottom_back_sideset]
    type = SideSetsAroundSubdomainGenerator
    input = bottom_front_sideset
    new_boundary = bottom_back
    block = bottom_block
    normal = '0 -1 0'
  []
  [secondary]
    input = bottom_back_sideset
    type = LowerDBlockFromSidesetGenerator
    sidesets = 'top_bottom' # top_back top_left'
    new_block_id = '10001'
    new_block_name = 'secondary_lower'
  []
  [primary]
    input = secondary
    type = LowerDBlockFromSidesetGenerator
    sidesets = 'bottom_top'
    new_block_id = '10000'
    new_block_name = 'primary_lower'
  []
[]

[Variables]
  [disp_x]
    block = '1 2'
  []
  [disp_y]
    block = '1 2'
  []
  [disp_z]
    block = '1 2'
  []
  [lm_x]
    block = 'secondary_lower'
    use_dual = true
  []
  [lm_y]
    block = 'secondary_lower'
    use_dual = true
  []
  [lm_z]
    block = 'secondary_lower'
    use_dual = true
  []
[]

[AuxVariables]
  [normal_lm]
    family = LAGRANGE
    order = FIRST
  []
[]

[AuxKernels]
  [normal_lm]
    type = MortarPressureComponentAux
    variable = normal_lm
    primary_boundary = 'bottom_top'
    secondary_boundary = 'top_bottom'
    lm_var_x = lm_x
    lm_var_y = lm_y
    lm_var_z = lm_z
    component = 'NORMAL'
    boundary = 'top_bottom'
  []
[]

[ICs]
  [disp_z]
    block = 1
    variable = disp_z
    value = '${fparse offset}'
    type = ConstantIC
  []
  [disp_x]
    block = 1
    variable = disp_x
    value = 0
    type = ConstantIC
  []
  [disp_y]
    block = 1
    variable = disp_y
    value = 0
    type = ConstantIC
  []
[]

[Kernels]
  [disp_x]
    type = MatDiffusion
    variable = disp_x
  []
  [disp_y]
    type = MatDiffusion
    variable = disp_y
  []
  [disp_z]
    type = MatDiffusion
    variable = disp_z
  []
[]

[Constraints]
  [weighted_gap_lm]
    type = ComputeWeightedGapCartesianLMMechanicalContact
    primary_boundary = 'bottom_top'
    secondary_boundary = 'top_bottom'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    lm_x = lm_x
    lm_y = lm_y
    lm_z = lm_z
    variable = lm_x # This can be anything really
    disp_x = disp_x
    disp_y = disp_y
    disp_z = disp_z
    use_displaced_mesh = true
    correct_edge_dropping = true
    c = 1e+02
  []
  [normal_x]
    type = CartesianMortarMechanicalContact
    primary_boundary = 'bottom_top'
    secondary_boundary = 'top_bottom'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    variable = lm_x
    secondary_variable = disp_x
    component = x
    use_displaced_mesh = true
    compute_lm_residuals = false
    correct_edge_dropping = true
  []
  [normal_y]
    type = CartesianMortarMechanicalContact
    primary_boundary = 'bottom_top'
    secondary_boundary = 'top_bottom'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    variable = lm_y
    secondary_variable = disp_y
    component = y
    use_displaced_mesh = true
    compute_lm_residuals = false
    correct_edge_dropping = true
  []
  [normal_z]
    type = CartesianMortarMechanicalContact
    primary_boundary = 'bottom_top'
    secondary_boundary = 'top_bottom'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    variable = lm_z
    secondary_variable = disp_z
    component = z
    use_displaced_mesh = true
    compute_lm_residuals = false
    correct_edge_dropping = true
  []
[]

[BCs]
  [botx]
    type = DirichletBC
    variable = disp_x
    boundary = 'bottom_left bottom_right bottom_front bottom_back'
    value = 0.0
  []
  [boty]
    type = DirichletBC
    variable = disp_y
    boundary = 'bottom_left bottom_right bottom_front bottom_back'
    value = 0.0
  []
  [botz]
    type = DirichletBC
    variable = disp_z
    boundary = 'bottom_left bottom_right bottom_front bottom_back'
    value = 0.0
  []
  [topx]
    type = DirichletBC
    variable = disp_x
    boundary = 'top_top'
    value = 0.0
  []
  [topy]
    type = DirichletBC
    variable = disp_y
    boundary = 'top_top'
    value = 0.0
  []
  [topz]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'top_top'
    function = '-${starting_point} * sin(2 * pi / 40 * t) + ${offset}'
  []
[]

[Preconditioning]
  [smp]
    type = SMP
    full = true
  []
[]

[Executioner]
  type = Transient
  solve_type = 'NEWTON'
  petsc_options_iname = '-pc_type -pc_factor_mat_solver_package -mat_mffd_err -pc_factor_shift_type '
                        '-pc_factor_shift_amount'
  petsc_options_value = 'lu superlu_dist 1e-5          NONZERO               1e-10'
  end_time = 1
  dt = .5
  dtmin = .01
  l_max_its = 100
  nl_max_its = 30
  # nl_rel_tol = 1e-6
  nl_abs_tol = 1e-12
  line_search = 'none'
  snesmf_reuse_base = false
[]

[Debug]
  show_var_residual_norms = true
[]

[Outputs]
  exodus = false
  csv = true
  execute_on = 'FINAL'
[]

[VectorPostprocessors]
  [normal_lm]
    type = NodalValueSampler
    block = secondary_lower
    variable = normal_lm
    sort_by = 'id'
  []
[]

(modules/solid_mechanics/test/tests/shell/static/straintest.i)

# Test for the axial stress and strain output for single shell element
# for 2D planar shell with uniform mesh.
# A single shell 1 mm x 1 mm element having Young's Modulus of 5 N/mm^2
# and poissons ratio of 0 is fixed at the left end and
# an axial displacement of 0.2 mm is applied at the right.
# Theoretical value of axial stress and strain are 1 N/mm^2 and 0.2.

[Mesh]
  type = GeneratedMesh
  dim = 2
  nx = 1
  ny = 1
  xmin = 0.0
  xmax = 1.0
  ymin = 0.0
  ymax = 1.0
[]

[Variables]
  [disp_x]
    order = FIRST
    family = LAGRANGE
  []
  [disp_y]
    order = FIRST
    family = LAGRANGE
  []
  [disp_z]
    order = FIRST
    family = LAGRANGE
  []
  [rot_x]
    order = FIRST
    family = LAGRANGE
  []
  [rot_y]
    order = FIRST
    family = LAGRANGE
  []
[]

[AuxVariables]
  [stress_xx]
    order = CONSTANT
    family = MONOMIAL
  []
  [strain_xx]
    order = CONSTANT
    family = MONOMIAL
  []
[]

[AuxKernels]
  [stress_xx]
    type = RankTwoAux
    variable = stress_xx
    rank_two_tensor = global_stress_t_points_1
    index_i = 0
    index_j = 0
  []
  [strain_xx]
    type = RankTwoAux
    variable = strain_xx
    rank_two_tensor = total_global_strain_t_points_1
    index_i = 0
    index_j = 0
  []
[]

[BCs]
  [fixx]
    type = DirichletBC
    variable = disp_x
    boundary = left
    value = 0.0
  []
  [fixy]
    type = DirichletBC
    variable = disp_y
    boundary = left
    value = 0.0
  []
  [fixz]
    type = DirichletBC
    variable = disp_z
    boundary = left
    value = 0.0
  []
  [fixr1]
    type = DirichletBC
    variable = rot_x
    boundary = left
    value = 0.0
  []
  [fixr2]
    type = DirichletBC
    variable = rot_y
    boundary = left
    value = 0.0
  []
  [disp]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'right'
    function = displacement
  []
[]

[Functions]
  [displacement]
    type = PiecewiseLinear
    x = '0.0 1.0'
    y = '0.0 0.2'
  []
[]

[Preconditioning]
  [smp]
    type = SMP
    full = true
  []
[]

[Executioner]
  type = Transient
  solve_type = NEWTON
  automatic_scaling = true

  line_search = 'none'
  nl_rel_tol = 1e-12
  nl_abs_tol = 1e-14

  dt = 1
  dtmin = 1
  end_time = 1
[]

[Kernels]
  [solid_disp_x]
    type = ADStressDivergenceShell
    block = '0'
    component = 0
    variable = disp_x
    through_thickness_order = SECOND
  []
  [solid_disp_y]
    type = ADStressDivergenceShell
    block = '0'
    component = 1
    variable = disp_y
    through_thickness_order = SECOND
  []
  [solid_disp_z]
    type = ADStressDivergenceShell
    block = '0'
    component = 2
    variable = disp_z
    through_thickness_order = SECOND
  []
  [solid_rot_x]
    type = ADStressDivergenceShell
    block = '0'
    component = 3
    variable = rot_x
    through_thickness_order = SECOND
  []
  [solid_rot_y]
    type = ADStressDivergenceShell
    block = '0'
    component = 4
    variable = rot_y
    through_thickness_order = SECOND
  []
[]

[Materials]
  [elasticity]
    type = ADComputeIsotropicElasticityTensorShell
    youngs_modulus = 5.0
    poissons_ratio = 0.0
    block = 0
    through_thickness_order = SECOND
  []
  [strain]
    type = ADComputeIncrementalShellStrain
    block = '0'
    displacements = 'disp_x disp_y disp_z'
    rotations = 'rot_x rot_y'
    thickness = 0.1
    through_thickness_order = SECOND
  []
  [stress]
    type = ADComputeShellStress
    block = 0
    through_thickness_order = SECOND
  []
[]

[Postprocessors]
  [disp_x]
    type = PointValue
    point = '0.5 0.0 0.0'
    variable = disp_z
  []
  [stress_xx_el_0]
    type = ElementalVariableValue
    elementid = 0
    variable = stress_xx
  []
  [strain_xx_el_0]
    type = ElementalVariableValue
    elementid = 0
    variable = strain_xx
  []
[]

[Outputs]
  exodus = true
[]

(modules/misc/test/tests/arrhenius_material_property/exact.i)

[Mesh]
  [mesh]
    type = GeneratedMeshGenerator
    dim = 1
  []
[]

[Variables]
  [temp]
    initial_condition = 1100
  []
[]

[Kernels]
  [heat]
    type = Diffusion
    variable = temp
  []
[]

[BCs]
  [temp]
    type = FunctionDirichletBC
    variable = temp
    boundary = 'left right'
    function = '100 * t + 100'
  []
[]

[Materials]
  [D]
    type = ArrheniusMaterialProperty
    temperature = temp
    activation_energy = '0.5 0.1'
    frequency_factor = '5 3e-3'
    gas_constant = 8.617e-5
    property_name = D
    outputs = all
  []
  [D_exact]
    type = ParsedMaterial
    property_name = D_exact
    coupled_variables = temp
    constant_names = 'Q1 D01 Q2 D02 R'
    constant_expressions = '0.5 5 0.1 3e-3 8.617e-5'
    expression = 'D01 * exp(-Q1 / R / temp) + D02 * exp(-Q2 / R / temp)'
    outputs = all
  []
  [D_dT_exact]
    type = ParsedMaterial
    property_name = D_dT_exact
    coupled_variables = temp
    constant_names = 'Q1 D01 Q2 D02 R'
    constant_expressions = '0.5 5 0.1 3e-3 8.617e-5'
    expression = '(D01 * exp(-Q1 / R / temp) / temp / temp * Q1 / R) + (D02 * exp(-Q2 / R / temp) / temp / temp * Q2 / R)'
    outputs = all
  []
[]

[Executioner]
  type = Transient

  num_steps = 10
[]

[Postprocessors]
  [D]
    type = ElementAverageValue
    variable = D
  []
  [D_dT]
    type = ElementAverageValue
    variable = D_dT
  []
  [D_exact]
    type = ElementAverageValue
    variable = D_exact
  []
  [D_dT_exact]
    type = ElementAverageValue
    variable = D_dT_exact
  []
  [diff_D]
    type = DifferencePostprocessor
    value1 = 'D'
    value2 = 'D_exact'
    outputs = console
  []
  [diff_D_dT]
    type = DifferencePostprocessor
    value1 = 'D_dT'
    value2 = 'D_dT_exact'
    outputs = console
  []
[]

[Outputs]
  csv = true
[]

(test/tests/geomsearch/3d_moving_penetration_smoothing/pl_test3ns.i)

[GlobalParams]
  order = FIRST
  family = LAGRANGE
[]

[Mesh]
  file = pl_test3.e
  displacements = 'disp_x disp_y disp_z'
[]

[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
[]

[AuxVariables]
  [./distance]
  [../]
  [./tangential_distance]
  [../]
  [./normal_x]
  [../]
  [./normal_y]
  [../]
  [./normal_z]
  [../]
  [./closest_point_x]
  [../]
  [./closest_point_y]
  [../]
  [./closest_point_z]
  [../]
#  [./element_id]
#  [../]
  [./side]
  [../]
[]

[Kernels]
  [./diff_x]
    type = Diffusion
    variable = disp_x
  [../]
  [./diff_y]
    type = Diffusion
    variable = disp_y
  [../]
  [./diff_z]
    type = Diffusion
    variable = disp_z
  [../]
[]

[AuxKernels]
  [./penetrate]
    type = PenetrationAux
    variable = distance
    boundary = 11            #secondary
    paired_boundary = 12     #primary
    normal_smoothing_distance = 0.2
  [../]

  [./penetrate2]
    type = PenetrationAux
    variable = distance
    boundary = 12            #secondary
    paired_boundary = 11     #primary
    normal_smoothing_distance = 0.2
  [../]

  [./penetrate3]
    type = PenetrationAux
    variable = tangential_distance
    boundary = 11
    paired_boundary = 12
    quantity = tangential_distance
  [../]

  [./penetrate4]
    type = PenetrationAux
    variable = tangential_distance
    boundary = 12
    paired_boundary = 11
    quantity = tangential_distance
  [../]

  [./penetrate5]
    type = PenetrationAux
    variable = normal_x
    boundary = 11
    paired_boundary = 12
    quantity = normal_x
  [../]

  [./penetrate6]
    type = PenetrationAux
    variable = normal_x
    boundary = 12
    paired_boundary = 11
    quantity = normal_x
  [../]

  [./penetrate7]
    type = PenetrationAux
    variable = normal_y
    boundary = 11
    paired_boundary = 12
    quantity = normal_y
  [../]

  [./penetrate8]
    type = PenetrationAux
    variable = normal_y
    boundary = 12
    paired_boundary = 11
    quantity = normal_y
  [../]

  [./penetrate9]
    type = PenetrationAux
    variable = normal_z
    boundary = 11
    paired_boundary = 12
    quantity = normal_z
  [../]

  [./penetrate10]
    type = PenetrationAux
    variable = normal_z
    boundary = 12
    paired_boundary = 11
    quantity = normal_z
  [../]

  [./penetrate11]
    type = PenetrationAux
    variable = closest_point_x
    boundary = 11
    paired_boundary = 12
    quantity = closest_point_x
  [../]

  [./penetrate12]
    type = PenetrationAux
    variable = closest_point_x
    boundary = 12
    paired_boundary = 11
    quantity = closest_point_x
  [../]

  [./penetrate13]
    type = PenetrationAux
    variable = closest_point_y
    boundary = 11
    paired_boundary = 12
    quantity = closest_point_y
  [../]

  [./penetrate14]
    type = PenetrationAux
    variable = closest_point_y
    boundary = 12
    paired_boundary = 11
    quantity = closest_point_y
  [../]

  [./penetrate15]
    type = PenetrationAux
    variable = closest_point_z
    boundary = 11
    paired_boundary = 12
    quantity = closest_point_z
  [../]

  [./penetrate16]
    type = PenetrationAux
    variable = closest_point_z
    boundary = 12
    paired_boundary = 11
    quantity = closest_point_z
  [../]

#  [./penetrate17]
#    type = PenetrationAux
#    variable = element_id
#    boundary = 11
#    paired_boundary = 12
#    quantity = element_id
#  [../]
#
#  [./penetrate18]
#    type = PenetrationAux
#    variable = element_id
#    boundary = 12
#    paired_boundary = 11
#    quantity = element_id
#  [../]

  [./penetrate19]
    type = PenetrationAux
    variable = side
    boundary = 11
    paired_boundary = 12
    quantity = side
  [../]

  [./penetrate20]
    type = PenetrationAux
    variable = side
    boundary = 12
    paired_boundary = 11
    quantity = side
  [../]
[]

[BCs]
  [./b1x]
    type = DirichletBC
    variable = disp_x
    preset = false
    boundary = 1
    value = 0
  [../]

  [./b1y]
    type = DirichletBC
    variable = disp_y
    preset = false
    boundary = 1
    value = 0
  [../]

  [./b1z]
    type = DirichletBC
    variable = disp_z
    preset = false
    boundary = 1
    value = 0
  [../]

  [./b2x]
    type = DirichletBC
    variable = disp_x
    preset = false
    boundary = 2
    value = 0
  [../]

  [./b2y]
    type = FunctionDirichletBC
    variable = disp_y
    preset = false
    boundary = 2
    function = disp_y
  [../]

  [./b2z]
    type = DirichletBC
    variable = disp_z
    preset = false
    boundary = 2
    value = 0
  [../]
[]

[Functions]
  [./disp_y]
    type = PiecewiseLinear
    x = '0.0 0.25 0.75 1.0'
    y = '0.0 2.0 -2.0  0.0'
  [../]
[]

[Executioner]
  type = Transient

  solve_type = 'PJFNK'
  petsc_options = '-snes_ksp_ew'

  nl_rel_tol = 1e-9
  l_max_its = 10

  start_time = 0.0
  dt = 0.02
  end_time = 1.0
[]

[Outputs]
  file_base = pl_test3ns_out
  exodus = true
[]

(test/tests/geomsearch/3d_moving_penetration_smoothing/pl_test3qnstt.i)

[GlobalParams]
  order = SECOND
  family = LAGRANGE
[]

[Mesh]
  file = pl_test3qtt.e
  displacements = 'disp_x disp_y disp_z'
[]

[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
[]

[AuxVariables]
  [./distance]
  [../]
  [./tangential_distance]
  [../]
  [./normal_x]
  [../]
  [./normal_y]
  [../]
  [./normal_z]
  [../]
  [./closest_point_x]
  [../]
  [./closest_point_y]
  [../]
  [./closest_point_z]
  [../]
#  [./element_id]
#  [../]
  [./side]
  [../]
[]

[Kernels]
  [./diff_x]
    type = Diffusion
    variable = disp_x
  [../]
  [./diff_y]
    type = Diffusion
    variable = disp_y
  [../]
  [./diff_z]
    type = Diffusion
    variable = disp_z
  [../]
[]

[AuxKernels]
  [./penetrate]
    type = PenetrationAux
    variable = distance
    boundary = 11            #secondary
    paired_boundary = 12     #primary
    tangential_tolerance = 0.09
    normal_smoothing_distance = 0.2
  [../]

  [./penetrate2]
    type = PenetrationAux
    variable = distance
    boundary = 12            #secondary
    paired_boundary = 11     #primary
    tangential_tolerance = 0.09
    normal_smoothing_distance = 0.2
  [../]

  [./penetrate3]
    type = PenetrationAux
    variable = tangential_distance
    boundary = 11
    paired_boundary = 12
    quantity = tangential_distance
  [../]

  [./penetrate4]
    type = PenetrationAux
    variable = tangential_distance
    boundary = 12
    paired_boundary = 11
    quantity = tangential_distance
  [../]

  [./penetrate5]
    type = PenetrationAux
    variable = normal_x
    boundary = 11
    paired_boundary = 12
    quantity = normal_x
  [../]

  [./penetrate6]
    type = PenetrationAux
    variable = normal_x
    boundary = 12
    paired_boundary = 11
    quantity = normal_x
  [../]

  [./penetrate7]
    type = PenetrationAux
    variable = normal_y
    boundary = 11
    paired_boundary = 12
    quantity = normal_y
  [../]

  [./penetrate8]
    type = PenetrationAux
    variable = normal_y
    boundary = 12
    paired_boundary = 11
    quantity = normal_y
  [../]

  [./penetrate9]
    type = PenetrationAux
    variable = normal_z
    boundary = 11
    paired_boundary = 12
    quantity = normal_z
  [../]

  [./penetrate10]
    type = PenetrationAux
    variable = normal_z
    boundary = 12
    paired_boundary = 11
    quantity = normal_z
  [../]

  [./penetrate11]
    type = PenetrationAux
    variable = closest_point_x
    boundary = 11
    paired_boundary = 12
    quantity = closest_point_x
  [../]

  [./penetrate12]
    type = PenetrationAux
    variable = closest_point_x
    boundary = 12
    paired_boundary = 11
    quantity = closest_point_x
  [../]

  [./penetrate13]
    type = PenetrationAux
    variable = closest_point_y
    boundary = 11
    paired_boundary = 12
    quantity = closest_point_y
  [../]

  [./penetrate14]
    type = PenetrationAux
    variable = closest_point_y
    boundary = 12
    paired_boundary = 11
    quantity = closest_point_y
  [../]

  [./penetrate15]
    type = PenetrationAux
    variable = closest_point_z
    boundary = 11
    paired_boundary = 12
    quantity = closest_point_z
  [../]

  [./penetrate16]
    type = PenetrationAux
    variable = closest_point_z
    boundary = 12
    paired_boundary = 11
    quantity = closest_point_z
  [../]

#  [./penetrate17]
#    type = PenetrationAux
#    variable = element_id
#    boundary = 11
#    paired_boundary = 12
#    quantity = element_id
#  [../]
#
#  [./penetrate18]
#    type = PenetrationAux
#    variable = element_id
#    boundary = 12
#    paired_boundary = 11
#    quantity = element_id
#  [../]

  [./penetrate19]
    type = PenetrationAux
    variable = side
    boundary = 11
    paired_boundary = 12
    quantity = side
  [../]

  [./penetrate20]
    type = PenetrationAux
    variable = side
    boundary = 12
    paired_boundary = 11
    quantity = side
  [../]
[]

[BCs]
  [./b1x]
    type = DirichletBC
    variable = disp_x
    preset = false
    boundary = 1
    value = 0
  [../]

  [./b1y]
    type = DirichletBC
    variable = disp_y
    preset = false
    boundary = 1
    value = 0
  [../]

  [./b1z]
    type = DirichletBC
    variable = disp_z
    preset = false
    boundary = 1
    value = 0
  [../]

  [./b2x]
    type = DirichletBC
    variable = disp_x
    preset = false
    boundary = 2
    value = 0
  [../]

  [./b2y]
    type = FunctionDirichletBC
    variable = disp_y
    preset = false
    boundary = 2
    function = disp_y
  [../]

  [./b2z]
    type = DirichletBC
    variable = disp_z
    preset = false
    boundary = 2
    value = 0
  [../]
[]

[Functions]
  [./disp_y]
    type = PiecewiseLinear
    x = '0.0 0.25 0.75 1.0'
    y = '0.0 2.0 -2.0  0.0'
  [../]
[]

[Executioner]
  type = Transient

  solve_type = 'PJFNK'
  petsc_options = '-snes_ksp_ew'

  nl_abs_tol = 1e-7
  l_max_its = 10

  start_time = 0.0
  dt = 0.02
  end_time = 1.0
  [./Quadrature]
    order = THIRD
  [../]
[]

[Outputs]
  file_base = pl_test3qnstt_out
  exodus = true
[]

(modules/contact/test/tests/mortar_cartesian_lms/two_block_1st_order_constraint_lm_xy_friction.i)

[GlobalParams]
  displacements = 'disp_x disp_y'
  volumetric_locking_correction = true
[]

theta = 0
velocity = 0.1
refine = 3

[Mesh]
  [left_block]
    type = GeneratedMeshGenerator
    dim = 2
    xmin = -0.35
    xmax = -0.05
    ymin = -1
    ymax = 0
    nx = 1
    ny = 3
    elem_type = QUAD4
  []
  [left_block_sidesets]
    type = RenameBoundaryGenerator
    input = left_block
    old_boundary = '0 1 2 3'
    new_boundary = '10 11 12 13'
  []
  [left_block_sideset_names]
    type = RenameBoundaryGenerator
    input = left_block_sidesets
    old_boundary = '10 11 12 13'
    new_boundary = 'l_bottom l_right l_top l_left'
  []
  [left_block_id]
    type = SubdomainIDGenerator
    input = left_block_sideset_names
    subdomain_id = 1
  []
  [right_block]
    type = GeneratedMeshGenerator
    dim = 2
    xmin = 0
    xmax = 0.3
    ymin = -1
    ymax = 0
    nx = 1
    ny = 2
    elem_type = QUAD4
  []
  [right_block_sidesets]
    type = RenameBoundaryGenerator
    input = right_block
    old_boundary = '0 1 2 3'
    new_boundary = '20 21 22 23'
  []
  [right_block_sideset_names]
    type = RenameBoundaryGenerator
    input = right_block_sidesets
    old_boundary = '20 21 22 23'
    new_boundary = 'r_bottom r_right r_top r_left'
  []
  [right_block_id]
    type = SubdomainIDGenerator
    input = right_block_sideset_names
    subdomain_id = 2
  []

  [combined_mesh]
    type = MeshCollectionGenerator
    inputs = 'left_block_id right_block_id'
  []

  [left_lower]
    type = LowerDBlockFromSidesetGenerator
    input = combined_mesh
    sidesets = '11'
    new_block_id = '10001'
    new_block_name = 'secondary_lower'
  []
  [right_lower]
    type = LowerDBlockFromSidesetGenerator
    input = left_lower
    sidesets = '23'
    new_block_id = '10000'
    new_block_name = 'primary_lower'
  []

  [rotate_mesh]
    type = TransformGenerator
    input = right_lower
    transform = ROTATE
    vector_value = '0 0 ${theta}'
  []

  uniform_refine = ${refine}
[]

[Variables]
  [lm_x]
    block = 'secondary_lower'
    use_dual = true
  []
  [lm_y]
    block = 'secondary_lower'
    use_dual = true
  []
[]

[AuxVariables]
  [normal_lm]
    family = LAGRANGE
    order = FIRST
  []
  [tangent_lm]
    family = LAGRANGE
    order = FIRST
  []
[]

[AuxKernels]
  [normal_lm]
    type = MortarPressureComponentAux
    variable = normal_lm
    primary_boundary = '23'
    secondary_boundary = '11'
    lm_var_x = lm_x
    lm_var_y = lm_y
    component = 'NORMAL'
    boundary = '11'
  []
  [tangent_lm]
    type = MortarPressureComponentAux
    variable = tangent_lm
    primary_boundary = '23'
    secondary_boundary = '11'
    lm_var_x = lm_x
    lm_var_y = lm_y
    component = 'tangent1'
    boundary = '11'
  []
[]

[Physics/SolidMechanics/QuasiStatic]
  [all]
    strain = FINITE
    incremental = true
    add_variables = true
    block = '1 2'
  []
[]

[Functions]
  [horizontal_movement]
    type = ParsedFunction
    expression = '${velocity} * t * cos(${theta}/180*pi)'
  []
  [vertical_movement]
    type = ParsedFunction
    expression = '${velocity} * t * sin(${theta}/180*pi)'
  []
[]

[BCs]
  [push_left_x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 13
    function = horizontal_movement
  []
  [fix_right_x]
    type = DirichletBC
    variable = disp_x
    boundary = 21
    value = 0.0
  []
  [fix_right_y]
    type = DirichletBC
    variable = disp_y
    boundary = 21
    value = 0.0
  []
  [push_left_y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 13
    function = vertical_movement
  []
[]

[Materials]
  [elasticity_tensor_left]
    type = ComputeIsotropicElasticityTensor
    block = 1
    youngs_modulus = 1.0e4
    poissons_ratio = 0.3
  []
  [stress_left]
    type = ComputeFiniteStrainElasticStress
    block = 1
  []

  [elasticity_tensor_right]
    type = ComputeIsotropicElasticityTensor
    block = 2
    youngs_modulus = 1.0e8
    poissons_ratio = 0.3
  []
  [stress_right]
    type = ComputeFiniteStrainElasticStress
    block = 2
  []
[]

[Constraints]
  [weighted_gap_lm]
    type = ComputeFrictionalForceCartesianLMMechanicalContact # ComputeCartesianLMFrictionMechanicalContact
    # type = ComputeWeightedGapLMMechanicalContact
    primary_boundary = '23'
    secondary_boundary = '11'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    lm_x = lm_x
    lm_y = lm_y
    variable = lm_x # This can be anything really
    disp_x = disp_x
    disp_y = disp_y
    use_displaced_mesh = true
    correct_edge_dropping = true
    mu = 1.0
    c_t = 1.0e5
  []
  [normal_x]
    type = CartesianMortarMechanicalContact
    primary_boundary = '23'
    secondary_boundary = '11'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    variable = lm_x
    secondary_variable = disp_x
    component = x
    use_displaced_mesh = true
    compute_lm_residuals = false
    correct_edge_dropping = true
  []
  [normal_y]
    type = CartesianMortarMechanicalContact
    primary_boundary = '23'
    secondary_boundary = '11'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    variable = lm_y
    secondary_variable = disp_y
    component = y
    use_displaced_mesh = true
    compute_lm_residuals = false
    correct_edge_dropping = true
  []
[]

[Preconditioning]
  [smp]
    type = SMP
    full = true
  []
[]

[Executioner]
  type = Transient
  solve_type = 'NEWTON'

  petsc_options_iname = '-pc_type -pc_factor_mat_solver_package -pc_factor_shift_type -pc_factor_shift_amount'
  petsc_options_value = 'lu        superlu_dist                  NONZERO               1e-15'

  line_search = none

  dt = 0.1
  dtmin = 0.1
  end_time = 1.0
  l_max_its = 100

  nl_max_its = 20
  nl_rel_tol = 1e-8
  snesmf_reuse_base = false
[]

[Outputs]
  exodus = true
  csv = true
[]

[Postprocessors]
  [avg_disp_x]
    type = ElementAverageValue
    variable = disp_x
    block = '1 2'
  []
  [avg_disp_y]
    type = ElementAverageValue
    variable = disp_y
    block = '1 2'
  []
  [max_disp_x]
    type = ElementExtremeValue
    variable = disp_x
    block = '1 2'
  []
  [max_disp_y]
    type = ElementExtremeValue
    variable = disp_y
    block = '1 2'
  []
  [min_disp_x]
    type = ElementExtremeValue
    variable = disp_x
    block = '1 2'
    value_type = min
  []
  [min_disp_y]
    type = ElementExtremeValue
    variable = disp_y
    block = '1 2'
    value_type = min
  []
  [num_lin_it]
    type = NumLinearIterations
  []
  [num_nonlin_it]
    type = NumNonlinearIterations
  []
  [tot_lin_it]
    type = CumulativeValuePostprocessor
    postprocessor = num_lin_it
  []
  [tot_nonlin_it]
    type = CumulativeValuePostprocessor
    postprocessor = num_nonlin_it
  []
  [max_norma_lm]
    type = ElementExtremeValue
    variable = normal_lm
  []
  [min_norma_lm]
    type = ElementExtremeValue
    variable = normal_lm
    value_type = min
  []
[]

[VectorPostprocessors]
  [normal_lm]
    type = NodalValueSampler
    block = 'secondary_lower'
    variable = normal_lm
    sort_by = 'y'
  []
  [tangent_lm]
    type = NodalValueSampler
    block = 'secondary_lower'
    variable = tangent_lm
    sort_by = 'y'
  []
[]

(modules/navier_stokes/test/tests/finite_element/ins/RZ_cone/rz_cone_by_parts_steady_nobcbc.i)

# This input file tests several different things:
# .) The axisymmetric (RZ) form of the governing equations.
# .) An open boundary.
# .) Not integrating the pressure by parts, thereby requiring a pressure pin.
# .) Natural boundary condition at the outlet.
[GlobalParams]
  integrate_p_by_parts = true
  laplace = true
  gravity = '0 0 0'
[]

[Mesh]
  file = '2d_cone.msh'
[]

[Problem]
  coord_type = RZ
[]

[Preconditioning]
  [./SMP_PJFNK]
    type = SMP
    full = true
    solve_type = Newton
  [../]
[]

[Executioner]
  type = Steady

petsc_options_iname = '-pc_type -sub_pc_type -sub_pc_factor_levels'
  petsc_options_value = 'bjacobi  ilu          4'

  nl_rel_tol = 1e-12
  nl_max_its = 6
[]

[Outputs]
  console = true
  [./out]
    type = Exodus
  [../]
[]

[Variables]
  [./vel_x]
    # Velocity in radial (r) direction
    family = LAGRANGE
    order = SECOND
  [../]
  [./vel_y]
    # Velocity in axial (z) direction
    family = LAGRANGE
    order = SECOND
  [../]
  [./p]
    family = LAGRANGE
    order = FIRST
  [../]
[]

[BCs]
  [./u_in]
    type = DirichletBC
    boundary = bottom
    variable = vel_x
    value = 0
  [../]
  [./v_in]
    type = FunctionDirichletBC
    boundary = bottom
    variable = vel_y
    function = 'inlet_func'
  [../]
  [./u_axis_and_walls]
    type = DirichletBC
    boundary = 'left right'
    variable = vel_x
    value = 0
  [../]
  [./v_no_slip]
    type = DirichletBC
    boundary = 'right'
    variable = vel_y
    value = 0
  [../]
  [./u_out]
    type = INSMomentumNoBCBCLaplaceForm
    boundary = top
    variable = vel_x
    u = vel_x
    v = vel_y
    pressure = p
    component = 0
  [../]
  [./v_out]
    type = INSMomentumNoBCBCLaplaceForm
    boundary = top
    variable = vel_y
    u = vel_x
    v = vel_y
    pressure = p
    component = 1
  [../]
  # When the NoBCBC is applied on the outlet boundary then there is nothing
  # constraining the pressure. Thus we must pin the pressure somewhere to ensure
  # that the problem is not singular. If the below BC is not applied then
  # -pc_type svd -pc_svd_monitor reveals a singular value
  [p_corner]
    type = DirichletBC
    boundary = top_right
    value = 0
    variable = p
  []
[]


[Kernels]
  [./mass]
    type = INSMassRZ
    variable = p
    u = vel_x
    v = vel_y
    pressure = p
  [../]
  [./x_momentum_space]
    type = INSMomentumLaplaceFormRZ
    variable = vel_x
    u = vel_x
    v = vel_y
    pressure = p
    component = 0
  [../]
  [./y_momentum_space]
    type = INSMomentumLaplaceFormRZ
    variable = vel_y
    u = vel_x
    v = vel_y
    pressure = p
    component = 1
  [../]
[]

[Materials]
  [./const]
    type = GenericConstantMaterial
    block = 'volume'
    prop_names = 'rho mu'
    prop_values = '1  1'
  [../]
[]

[Functions]
  [./inlet_func]
    type = ParsedFunction
    expression = '-4 * x^2 + 1'
  [../]
[]

[Postprocessors]
  [./flow_in]
    type = VolumetricFlowRate
    vel_x = vel_x
    vel_y = vel_y
    boundary = 'bottom'
    execute_on = 'timestep_end'
  [../]
  [./flow_out]
    type = VolumetricFlowRate
    vel_x = vel_x
    vel_y = vel_y
    boundary = 'top'
    execute_on = 'timestep_end'
  [../]
[]

(modules/solid_mechanics/test/tests/capped_weak_plane/pull_and_shear_1step.i)

# Part of the bottom (minimum z) is pulled down by a Preset displacement
# This causes tensile failure in the elements immediately above.
# Because only the bottom row of elements ever fail, and because these
# fail in the first nonlinear step, Moose correctly converges in
# 1 nonlinear step, despite this problem being inelastic.
# (If the problem had lower cohesion, then the top row would also
# fail, but in the second nonlinear step, and so the simulation
# would require at least two nonlinear steps.)
[Mesh]
  [generated_mesh]
    type = GeneratedMeshGenerator
    dim = 3
    nx = 2
    ny = 1
    nz = 2
    xmin = -10
    xmax = 10
    ymin = -10
    ymax = 10
    zmin = -100
    zmax = 0
  []
  [bottomz_middle]
    type = BoundingBoxNodeSetGenerator
    new_boundary = bottomz_middle
    bottom_left = '-1 -15 -105'
    top_right = '1 15 -95'
    input = generated_mesh
  []
[]

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]

[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
[]

[Kernels]
  [SolidMechanics]
  [../]
[]

[BCs]
  [./no_x2]
    type = DirichletBC
    variable = disp_x
    boundary = right
    value = 0.0
  [../]
  [./no_x1]
    type = DirichletBC
    variable = disp_x
    boundary = left
    value = 0.0
  [../]
  [./no_y1]
    type = DirichletBC
    variable = disp_y
    boundary = bottom
    value = 0.0
  [../]
  [./no_y2]
    type = DirichletBC
    variable = disp_y
    boundary = top
    value = 0.0
  [../]

  [./z_fixed_sides_xmin]
    type = DirichletBC
    variable = disp_z
    boundary = left
    value = 0
  [../]
  [./z_fixed_sides_xmax]
    type = DirichletBC
    variable = disp_z
    boundary = right
    value = 0
  [../]

  [./bottomz]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = bottomz_middle
    function = -1
  [../]
[]

[AuxVariables]
  [./stress_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./strainp_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./strainp_xy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./strainp_xz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./strainp_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./strainp_yz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./strainp_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./straint_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./straint_xy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./straint_xz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./straint_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./straint_yz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./straint_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f_shear]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f_tensile]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f_compressive]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./intnl_shear]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./intnl_tensile]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./iter]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./ls]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]

[AuxKernels]
  [./stress_xx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xx
    index_i = 0
    index_j = 0
  [../]
  [./stress_xy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xy
    index_i = 0
    index_j = 1
  [../]
  [./stress_xz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xz
    index_i = 0
    index_j = 2
  [../]
  [./stress_yy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yy
    index_i = 1
    index_j = 1
  [../]
  [./stress_yz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yz
    index_i = 1
    index_j = 2
  [../]
  [./stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zz
    index_i = 2
    index_j = 2
  [../]
  [./strainp_xx]
    type = RankTwoAux
    rank_two_tensor = plastic_strain
    variable = strainp_xx
    index_i = 0
    index_j = 0
  [../]
  [./strainp_xy]
    type = RankTwoAux
    rank_two_tensor = plastic_strain
    variable = strainp_xy
    index_i = 0
    index_j = 1
  [../]
  [./strainp_xz]
    type = RankTwoAux
    rank_two_tensor = plastic_strain
    variable = strainp_xz
    index_i = 0
    index_j = 2
  [../]
  [./strainp_yy]
    type = RankTwoAux
    rank_two_tensor = plastic_strain
    variable = strainp_yy
    index_i = 1
    index_j = 1
  [../]
  [./strainp_yz]
    type = RankTwoAux
    rank_two_tensor = plastic_strain
    variable = strainp_yz
    index_i = 1
    index_j = 2
  [../]
  [./strainp_zz]
    type = RankTwoAux
    rank_two_tensor = plastic_strain
    variable = strainp_zz
    index_i = 2
    index_j = 2
  [../]
  [./straint_xx]
    type = RankTwoAux
    rank_two_tensor = total_strain
    variable = straint_xx
    index_i = 0
    index_j = 0
  [../]
  [./straint_xy]
    type = RankTwoAux
    rank_two_tensor = total_strain
    variable = straint_xy
    index_i = 0
    index_j = 1
  [../]
  [./straint_xz]
    type = RankTwoAux
    rank_two_tensor = total_strain
    variable = straint_xz
    index_i = 0
    index_j = 2
  [../]
  [./straint_yy]
    type = RankTwoAux
    rank_two_tensor = total_strain
    variable = straint_yy
    index_i = 1
    index_j = 1
  [../]
  [./straint_yz]
    type = RankTwoAux
    rank_two_tensor = total_strain
    variable = straint_yz
    index_i = 1
    index_j = 2
  [../]
  [./straint_zz]
    type = RankTwoAux
    rank_two_tensor = total_strain
    variable = straint_zz
    index_i = 2
    index_j = 2
  [../]
  [./f_shear]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 0
    variable = f_shear
  [../]
  [./f_tensile]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 1
    variable = f_tensile
  [../]
  [./f_compressive]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 2
    variable = f_compressive
  [../]
  [./intnl_shear]
    type = MaterialStdVectorAux
    property = plastic_internal_parameter
    index = 0
    variable = intnl_shear
  [../]
  [./intnl_tensile]
    type = MaterialStdVectorAux
    property = plastic_internal_parameter
    index = 1
    variable = intnl_tensile
  [../]
  [./iter]
    type = MaterialRealAux
    property = plastic_NR_iterations
    variable = iter
  [../]
  [./ls]
    type = MaterialRealAux
    property = plastic_linesearch_needed
    variable = ls
  [../]
[]

[UserObjects]
  [./coh_irrelevant]
    type = SolidMechanicsHardeningCubic
    value_0 = 1E60
    value_residual = 1E60
    internal_limit = 0.01E8
  [../]
  [./tanphi]
    type = SolidMechanicsHardeningCubic
    value_0 = 0.5
    value_residual = 0.2
    internal_limit = 0.01E8
  [../]
  [./tanpsi]
    type = SolidMechanicsHardeningConstant
    value = 0.166666666667
  [../]
  [./t_strength]
    type = SolidMechanicsHardeningConstant
    value = 0
  [../]
  [./c_strength]
    type = SolidMechanicsHardeningCubic
    value_0 = 1E80
    value_residual = 1E80
    internal_limit = 0.01
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    fill_method = symmetric_isotropic
    C_ijkl = '6.4E9 6.4E9'  # young 16MPa, Poisson 0.25
  [../]
  [./strain]
    type = ComputeIncrementalStrain
  [../]
  [./admissible]
    type = ComputeMultipleInelasticStress
    inelastic_models = stress
    tangent_operator = nonlinear
    perform_finite_strain_rotations = false
  [../]
  [./stress]
    type = CappedWeakPlaneStressUpdate
    cohesion = coh_irrelevant
    tan_friction_angle = tanphi
    tan_dilation_angle = tanpsi
    tensile_strength = t_strength
    compressive_strength = c_strength
    max_NR_iterations = 1
    tip_smoother = 0
    smoothing_tol = 0
    yield_function_tol = 1E-2
    perfect_guess = true
    min_step_size = 1
  [../]
[]

[Preconditioning]
  [./andy]
    type = SMP
    full = true
    petsc_options = '-snes_converged_reason -snes_linesearch_monitor'
    petsc_options_iname = '-pc_type -pc_asm_overlap -sub_pc_type -ksp_type -ksp_gmres_restart'
    petsc_options_value = ' asm      2              lu            gmres     200'
  [../]
[]

[Executioner]
  solve_type = 'NEWTON'
  petsc_options = '-snes_converged_reason'
  line_search = bt
  nl_abs_tol = 1E1
  nl_rel_tol = 1e-5
  l_tol = 1E-10

  l_max_its = 100
  nl_max_its = 100

  end_time = 1.0
  dt = 1.0
  type = Transient
[]

[Outputs]
  file_base = pull_and_shear_1step
  exodus = true
[]

(modules/thermal_hydraulics/test/tests/components/heat_transfer_from_external_app_1phase/phy.T_wall_transfer_3eqn.parent.i)

# This tests a temperature transfer using the MultiApp system.  Simple heat
# conduction problem is solved, then the temperature is picked up by the child
# side of the solve, child side solves and transfers its variables back to the
# master

[Mesh]
  type = GeneratedMesh
  dim = 1
  xmax = 1
  nx = 10
[]

[Functions]
  [left_bc_fn]
    type = PiecewiseLinear
    x = '0   1'
    y = '300 310'
  []
[]

[Variables]
  [T]
  []
[]

[ICs]
  [T_ic]
    type = ConstantIC
    variable = T
    value = 300
  []
[]

[Kernels]
  [td]
    type = TimeDerivative
    variable = T
  []

  [diff]
    type = Diffusion
    variable = T
  []
[]

[BCs]
  [left]
    type = FunctionDirichletBC
    variable = T
    boundary = left
    function = left_bc_fn
  []
[]

[Executioner]
  type = Transient
  dt = 0.5
  end_time = 5
  nl_abs_tol = 1e-10
  abort_on_solve_fail = true
[]

[MultiApps]
  [thm]
    type = TransientMultiApp
    app_type = ThermalHydraulicsApp
    input_files = phy.T_wall_transfer_3eqn.child.i
    execute_on = TIMESTEP_END
  []
[]

[Transfers]
  [T_to_child]
    type = MultiAppGeneralFieldNearestLocationTransfer
    to_multi_app = thm
    source_variable = T
    variable = T_wall
  []
[]

[Outputs]
  exodus = true
[]

(test/tests/time_integrators/implicit-euler/ie_adapt.i)

[Mesh]
  type = GeneratedMesh
  dim = 2
  xmin = -1
  xmax = 1
  ymin = -1
  ymax = 1
  nx = 4
  ny = 4
  elem_type = QUAD4
[]

[Variables]
  active = 'u'

  [./u]
    order = FIRST
    family = LAGRANGE

    [./InitialCondition]
      type = ConstantIC
      value = 0
    [../]
  [../]
[]

[Functions]
  [./forcing_fn]
    type = ParsedFunction
    # dudt = 3*t^2*(x^2 + y^2)
    expression = 3*t*t*((x*x)+(y*y))-(4*t*t*t)
  [../]

  [./exact_fn]
    type = ParsedFunction
    expression = t*t*t*((x*x)+(y*y))
  [../]
[]

[Kernels]
  active = 'diff ie ffn'

  [./ie]
    type = TimeDerivative
    variable = u
  [../]

  [./diff]
    type = Diffusion
    variable = u
  [../]

  [./ffn]
    type = BodyForce
    variable = u
    function = forcing_fn
  [../]
[]

[BCs]
  active = 'all'

  [./all]
    type = FunctionDirichletBC
    variable = u
    boundary = '0 1 2 3'
    function = exact_fn
  [../]

  [./left]
    type = DirichletBC
    variable = u
    boundary = 3
    value = 0
  [../]

  [./right]
    type = DirichletBC
    variable = u
    boundary = 1
    value = 1
  [../]
[]

[Postprocessors]
  [./l2_err]
    type = ElementL2Error
    variable = u
    function = exact_fn
  [../]
[]

[Executioner]
  type = Transient
  scheme = 'implicit-euler'

  solve_type = 'PJFNK'

  start_time = 0.0
  num_steps = 5
  dt = 0.25

  [./Adaptivity]
    refine_fraction = 0.2
    coarsen_fraction = 0.3
    max_h_level = 4
  [../]
[]

[Outputs]
  execute_on = 'timestep_end'
  exodus = true
[]

(modules/heat_transfer/test/tests/heat_conduction_patch/heat_conduction_patch_rz_quad8.i)

#
# This problem is taken from the Abaqus verification manual:
#   "1.5.8 Patch test for heat transfer elements"
#
# The temperature on the exterior nodes is -2e5+200x+100y.
#
# This gives a constant flux at all Gauss points.
#
# In addition, the temperature at all nodes follows the same formula.
#
# Node x         y          Temperature
#    1 1e3       0          0
#    2 1.00024e3 0          48
#    3 1.00018e3 3e-2       39
#    4 1.00004e3 2e-2       10
#    9 1.00008e3 8e-2       24
#   10 1e3       1.2e-1     12
#   14 1.00016e3 8e-2       40
#   17 1.00024e3 1.2e-1     60

[Problem]
  coord_type = RZ
[]

[Mesh]#Comment
  file = heat_conduction_patch_rz_quad8.e
[] # Mesh

[Functions]
  [./temps]
    type = ParsedFunction
    expression ='-2e5+200*x+100*y'
  [../]
[] # Functions

[Variables]

  [./temp]
    order = SECOND
    family = LAGRANGE
  [../]

[] # Variables

[Kernels]

  [./heat_r]
    type = HeatConduction
    variable = temp
  [../]

[] # Kernels

[BCs]

  [./temps]
    type = FunctionDirichletBC
    variable = temp
    boundary = 10
    function = temps
  [../]

[] # BCs

[Materials]

  [./heat]
    type = HeatConductionMaterial
    block = 1

    specific_heat = 0.116
    thermal_conductivity = 4.85e-4
  [../]

[] # Materials

[Executioner]

  type = Steady

  #Preconditioned JFNK (default)
  solve_type = 'PJFNK'

  petsc_options_iname = '-pc_type -ksp_gmres_restart'
  petsc_options_value = 'lu       101'

  line_search = 'none'

  nl_abs_tol = 1e-11
  nl_rel_tol = 1e-10

  l_max_its = 20

  [./Quadrature]
    order = THIRD
  [../]

[] # Executioner

[Outputs]
  exodus = true
[] # Outputs

(test/tests/auxkernels/flux_average/flux_average.i)

[Mesh]
  type = GeneratedMesh
  dim = 2
  nx = 10
  ny = 10
[]

[Variables]
  [./u]
  [../]
[]

[AuxVariables]
  [./flux]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]

[Functions]
  [./bc_func]
    type = ParsedFunction
    expression = y+1
  [../]
[]

[Kernels]
  [./diff]
    type = CoefDiffusion
    variable = u
    coef = 0.1
  [../]
  [./time]
    type = TimeDerivative
    variable = u
  [../]
[]

[AuxKernels]
  [./flux_average]
    type = FluxAverageAux
    variable = flux
    coupled = u
    diffusivity = 0.1
    boundary = right
  [../]
[]

[BCs]
  [./left]
    type = DirichletBC
    variable = u
    boundary = left
    value = 0
  [../]
  [./right]
    type = FunctionDirichletBC
    variable = u
    boundary = right
    function = bc_func
  [../]
[]

[Executioner]
  type = Transient
  num_steps = 5
  dt = 0.1
  solve_type = PJFNK
  petsc_options_iname = '-pc_type -pc_hypre_type'
  petsc_options_value = 'hypre boomeramg'
[]

[Outputs]
  exodus = true
[]

(modules/solid_mechanics/test/tests/capped_weak_plane/small_deform_cosserat3.i)

# Plastic deformation.  Layered Cosserat with parameters:
# Young = 10.0
# Poisson = 0.25
# layer_thickness = 10
# joint_normal_stiffness = 2.5
# joint_shear_stiffness = 2.0
# These give the following nonzero components of the elasticity tensor:
# E_0000 = E_1111 = 1.156756756757E+01
# E_0011 = E_1100 = 3.855855855856E+00
# E_2222 = E_pp = 8.108108108108E+00
# E_0022 = E_1122 = E_2200 = E_2211 = 2.702702702703E+00
# G = E_0101 = E_0110 = E_1001 = E_1010 = 4
# Gt = E_qq = E_0202 = E_0220 = E_2002 = E_1212 = E_1221 = E_2112 = 3.333333333333E+00
# E_2020 = E_2121 = 3.666666666667E+00
# They give the following nonzero components of the bending rigidity tensor:
# D = 8.888888888889E+02
# B_0101 = B_1010 = 8.080808080808E+00
# B_0110 = B_1001 = -2.020202020202E+00
#
# Applying the following deformation to the zmax surface of a unit cube:
# disp_x = 32*t/Gt
# disp_y = 24*t/Gt
# disp_z = 10*t/E_2222
# omega_x = omega_y = omega_z = 0
# yields the following strains:
# strain_xz = 32*t/Gt = 9.6*t
# strain_yz = 24*t/Gt = 7.2*t
# strain_zz = 10*t/E_2222 = 1.23333333*t
# and all other components, and the curvature, are zero.
# The nonzero components of stress are therefore:
# stress_xx = stress_yy = 3.33333*t
# stress_xz = stress_zx = 32*t
# stress_yz = stress_zy = 24*t
# stress_zz = 10*t
# The moment stress is zero.
# So q = 40*t and p = 10*t
#
# Use tan(friction_angle) = 0.5 and tan(dilation_angle) = E_qq/Epp/2, and cohesion=20,
# the system should return to p=0, q=20, ie stress_zz=0, stress_xz=16,
# stress_yz=12 on the first time step (t=1)
# and
# stress_xx = stress_yy = 0
# and
# stress_zx = 32, and stress_zy = 24.
# Although this has resulted in a non-symmetric stress tensor, the
# moments generated are cancelled by the boundary conditions on
# omega_x and omega_y.  (Removing these boundary conditions results
# in a symmetric stress tensor, and some omega!=0 being generated.)
# No moment stresses are generated because omega=0=curvature.
#
# The total strains are given above (strain_xz = 9.6,
# strain_yz = 7.2 and strain_zz = 1.23333).
# Since q returned from 40 to 20, plastic_strain_xz = strain_xz/2 = 4.8
# and plastic_strain_yz = strain_yz/2 = 3.6.
# Since p returned to zero, all of the total strain_zz is
# plastic, ie plastic_strain_zz = 1.23333
[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
  Cosserat_rotations = 'wc_x wc_y wc_z'
[]

[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
  [./wc_x]
  [../]
  [./wc_y]
  [../]
[]

[Kernels]
  [./cx_elastic]
    type = CosseratStressDivergenceTensors
    variable = disp_x
    component = 0
  [../]
  [./cy_elastic]
    type = CosseratStressDivergenceTensors
    variable = disp_y
    component = 1
  [../]
  [./cz_elastic]
    type = CosseratStressDivergenceTensors
    variable = disp_z
    component = 2
  [../]
  [./x_couple]
    type = StressDivergenceTensors
    variable = wc_x
    displacements = 'wc_x wc_y wc_z'
    component = 0
    base_name = couple
  [../]
  [./y_couple]
    type = StressDivergenceTensors
    variable = wc_y
    displacements = 'wc_x wc_y wc_z'
    component = 1
    base_name = couple
  [../]
  [./x_moment]
    type = MomentBalancing
    variable = wc_x
    component = 0
  [../]
  [./y_moment]
    type = MomentBalancing
    variable = wc_y
    component = 1
  [../]
[]

[BCs]
  [./bottomx]
    type = DirichletBC
    variable = disp_x
    boundary = back
    value = 0.0
  [../]
  [./bottomy]
    type = DirichletBC
    variable = disp_y
    boundary = back
    value = 0.0
  [../]
  [./bottomz]
    type = DirichletBC
    variable = disp_z
    boundary = back
    value = 0.0
  [../]
  [./bottom_wc_x]
    type = DirichletBC
    variable = wc_x
    boundary = back
    value = 0.0
  [../]
  [./bottom_wc_y]
    type = DirichletBC
    variable = wc_y
    boundary = back
    value = 0.0
  [../]


  [./topx]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = front
    function = 32*t/3.333333333333E+00
  [../]
  [./topy]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = front
    function = 24*t/3.333333333333E+00
  [../]
  [./topz]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = front
    function = 10*t/8.108108108108E+00
  [../]
  [./top_wc_x]
    type = DirichletBC
    variable = wc_x
    boundary = front
    value = 0.0
  [../]
  [./top_wc_y]
    type = DirichletBC
    variable = wc_y
    boundary = front
    value = 0.0
  [../]
[]

[AuxVariables]
  [./wc_z]
  [../]
  [./stress_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_zx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_zy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./couple_stress_xx]
    family = MONOMIAL
    order = CONSTANT
  [../]
  [./couple_stress_xy]
    family = MONOMIAL
    order = CONSTANT
  [../]
  [./couple_stress_xz]
    family = MONOMIAL
    order = CONSTANT
  [../]
  [./couple_stress_yx]
    family = MONOMIAL
    order = CONSTANT
  [../]
  [./couple_stress_yy]
    family = MONOMIAL
    order = CONSTANT
  [../]
  [./couple_stress_yz]
    family = MONOMIAL
    order = CONSTANT
  [../]
  [./couple_stress_zx]
    family = MONOMIAL
    order = CONSTANT
  [../]
  [./couple_stress_zy]
    family = MONOMIAL
    order = CONSTANT
  [../]
  [./couple_stress_zz]
    family = MONOMIAL
    order = CONSTANT
  [../]
  [./strainp_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./strainp_xy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./strainp_xz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./strainp_yx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./strainp_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./strainp_yz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./strainp_zx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./strainp_zy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./strainp_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./straint_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./straint_xy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./straint_xz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./straint_yx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./straint_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./straint_yz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./straint_zx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./straint_zy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./straint_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f_shear]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f_tensile]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f_compressive]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./intnl_shear]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./intnl_tensile]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./iter]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./ls]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]

[AuxKernels]
  [./stress_xx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xx
    index_i = 0
    index_j = 0
  [../]
  [./stress_xy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xy
    index_i = 0
    index_j = 1
  [../]
  [./stress_xz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xz
    index_i = 0
    index_j = 2
  [../]
  [./stress_yx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yx
    index_i = 1
    index_j = 0
  [../]
  [./stress_yy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yy
    index_i = 1
    index_j = 1
  [../]
  [./stress_yz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yz
    index_i = 1
    index_j = 2
  [../]
  [./stress_zx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zx
    index_i = 2
    index_j = 0
  [../]
  [./stress_zy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zy
    index_i = 2
    index_j = 1
  [../]
  [./stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zz
    index_i = 2
    index_j = 2
  [../]
  [./couple_stress_xx]
    type = RankTwoAux
    rank_two_tensor = couple_stress
    variable = couple_stress_xx
    index_i = 0
    index_j = 0
  [../]
  [./couple_stress_xy]
    type = RankTwoAux
    rank_two_tensor = couple_stress
    variable = couple_stress_xy
    index_i = 0
    index_j = 1
  [../]
  [./couple_stress_xz]
    type = RankTwoAux
    rank_two_tensor = couple_stress
    variable = couple_stress_xz
    index_i = 0
    index_j = 2
  [../]
  [./couple_stress_yx]
    type = RankTwoAux
    rank_two_tensor = couple_stress
    variable = couple_stress_yx
    index_i = 1
    index_j = 0
  [../]
  [./couple_stress_yy]
    type = RankTwoAux
    rank_two_tensor = couple_stress
    variable = couple_stress_yy
    index_i = 1
    index_j = 1
  [../]
  [./couple_stress_yz]
    type = RankTwoAux
    rank_two_tensor = couple_stress
    variable = couple_stress_yz
    index_i = 1
    index_j = 2
  [../]
  [./couple_stress_zx]
    type = RankTwoAux
    rank_two_tensor = couple_stress
    variable = couple_stress_zx
    index_i = 2
    index_j = 0
  [../]
  [./couple_stress_zy]
    type = RankTwoAux
    rank_two_tensor = couple_stress
    variable = couple_stress_zy
    index_i = 2
    index_j = 1
  [../]
  [./couple_stress_zz]
    type = RankTwoAux
    rank_two_tensor = couple_stress
    variable = couple_stress_zz
    index_i = 2
    index_j = 2
  [../]
  [./strainp_xx]
    type = RankTwoAux
    rank_two_tensor = plastic_strain
    variable = strainp_xx
    index_i = 0
    index_j = 0
  [../]
  [./strainp_xy]
    type = RankTwoAux
    rank_two_tensor = plastic_strain
    variable = strainp_xy
    index_i = 0
    index_j = 1
  [../]
  [./strainp_xz]
    type = RankTwoAux
    rank_two_tensor = plastic_strain
    variable = strainp_xz
    index_i = 0
    index_j = 2
  [../]
  [./strainp_yx]
    type = RankTwoAux
    rank_two_tensor = plastic_strain
    variable = strainp_yx
    index_i = 1
    index_j = 0
  [../]
  [./strainp_yy]
    type = RankTwoAux
    rank_two_tensor = plastic_strain
    variable = strainp_yy
    index_i = 1
    index_j = 1
  [../]
  [./strainp_yz]
    type = RankTwoAux
    rank_two_tensor = plastic_strain
    variable = strainp_yz
    index_i = 1
    index_j = 2
  [../]
  [./strainp_zx]
    type = RankTwoAux
    rank_two_tensor = plastic_strain
    variable = strainp_zx
    index_i = 2
    index_j = 0
  [../]
  [./strainp_zy]
    type = RankTwoAux
    rank_two_tensor = plastic_strain
    variable = strainp_zy
    index_i = 2
    index_j = 1
  [../]
  [./strainp_zz]
    type = RankTwoAux
    rank_two_tensor = plastic_strain
    variable = strainp_zz
    index_i = 2
    index_j = 2
  [../]
  [./straint_xx]
    type = RankTwoAux
    rank_two_tensor = total_strain
    variable = straint_xx
    index_i = 0
    index_j = 0
  [../]
  [./straint_xy]
    type = RankTwoAux
    rank_two_tensor = total_strain
    variable = straint_xy
    index_i = 0
    index_j = 1
  [../]
  [./straint_xz]
    type = RankTwoAux
    rank_two_tensor = total_strain
    variable = straint_xz
    index_i = 0
    index_j = 2
  [../]
  [./straint_yx]
    type = RankTwoAux
    rank_two_tensor = total_strain
    variable = straint_yx
    index_i = 1
    index_j = 0
  [../]
  [./straint_yy]
    type = RankTwoAux
    rank_two_tensor = total_strain
    variable = straint_yy
    index_i = 1
    index_j = 1
  [../]
  [./straint_yz]
    type = RankTwoAux
    rank_two_tensor = total_strain
    variable = straint_yz
    index_i = 1
    index_j = 2
  [../]
  [./straint_zx]
    type = RankTwoAux
    rank_two_tensor = total_strain
    variable = straint_zx
    index_i = 2
    index_j = 0
  [../]
  [./straint_zy]
    type = RankTwoAux
    rank_two_tensor = total_strain
    variable = straint_zy
    index_i = 2
    index_j = 1
  [../]
  [./straint_zz]
    type = RankTwoAux
    rank_two_tensor = total_strain
    variable = straint_zz
    index_i = 2
    index_j = 2
  [../]
  [./f_shear]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 0
    variable = f_shear
  [../]
  [./f_tensile]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 1
    variable = f_tensile
  [../]
  [./f_compressive]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 2
    variable = f_compressive
  [../]
  [./intnl_shear]
    type = MaterialStdVectorAux
    property = plastic_internal_parameter
    index = 0
    variable = intnl_shear
  [../]
  [./intnl_tensile]
    type = MaterialStdVectorAux
    property = plastic_internal_parameter
    index = 1
    variable = intnl_tensile
  [../]
  [./iter]
    type = MaterialRealAux
    property = plastic_NR_iterations
    variable = iter
  [../]
  [./ls]
    type = MaterialRealAux
    property = plastic_linesearch_needed
    variable = ls
  [../]
[]

[Postprocessors]
  [./s_xx]
    type = PointValue
    point = '0 0 0'
    variable = stress_xx
  [../]
  [./s_xy]
    type = PointValue
    point = '0 0 0'
    variable = stress_xy
  [../]
  [./s_xz]
    type = PointValue
    point = '0 0 0'
    variable = stress_xz
  [../]
  [./s_yx]
    type = PointValue
    point = '0 0 0'
    variable = stress_yx
  [../]
  [./s_yy]
    type = PointValue
    point = '0 0 0'
    variable = stress_yy
  [../]
  [./s_yz]
    type = PointValue
    point = '0 0 0'
    variable = stress_yz
  [../]
  [./s_zx]
    type = PointValue
    point = '0 0 0'
    variable = stress_zx
  [../]
  [./s_zy]
    type = PointValue
    point = '0 0 0'
    variable = stress_zy
  [../]
  [./s_zz]
    type = PointValue
    point = '0 0 0'
    variable = stress_zz
  [../]
  [./c_s_xx]
    type = PointValue
    point = '0 0 0'
    variable = couple_stress_xx
  [../]
  [./c_s_xy]
    type = PointValue
    point = '0 0 0'
    variable = couple_stress_xy
  [../]
  [./c_s_xz]
    type = PointValue
    point = '0 0 0'
    variable = couple_stress_xz
  [../]
  [./c_s_yx]
    type = PointValue
    point = '0 0 0'
    variable = couple_stress_yx
  [../]
  [./c_s_yy]
    type = PointValue
    point = '0 0 0'
    variable = couple_stress_yy
  [../]
  [./c_s_yz]
    type = PointValue
    point = '0 0 0'
    variable = couple_stress_yz
  [../]
  [./c_s_zx]
    type = PointValue
    point = '0 0 0'
    variable = couple_stress_zx
  [../]
  [./c_s_zy]
    type = PointValue
    point = '0 0 0'
    variable = couple_stress_zy
  [../]
  [./c_s_zz]
    type = PointValue
    point = '0 0 0'
    variable = couple_stress_zz
  [../]
  [./strainp_xx]
    type = PointValue
    point = '0 0 0'
    variable = strainp_xx
  [../]
  [./strainp_xy]
    type = PointValue
    point = '0 0 0'
    variable = strainp_xy
  [../]
  [./strainp_xz]
    type = PointValue
    point = '0 0 0'
    variable = strainp_xz
  [../]
  [./strainp_yx]
    type = PointValue
    point = '0 0 0'
    variable = strainp_yx
  [../]
  [./strainp_yy]
    type = PointValue
    point = '0 0 0'
    variable = strainp_yy
  [../]
  [./strainp_yz]
    type = PointValue
    point = '0 0 0'
    variable = strainp_yz
  [../]
  [./strainp_zx]
    type = PointValue
    point = '0 0 0'
    variable = strainp_zx
  [../]
  [./strainp_zy]
    type = PointValue
    point = '0 0 0'
    variable = strainp_zy
  [../]
  [./strainp_zz]
    type = PointValue
    point = '0 0 0'
    variable = strainp_zz
  [../]
  [./straint_xx]
    type = PointValue
    point = '0 0 0'
    variable = straint_xx
  [../]
  [./straint_xy]
    type = PointValue
    point = '0 0 0'
    variable = straint_xy
  [../]
  [./straint_xz]
    type = PointValue
    point = '0 0 0'
    variable = straint_xz
  [../]
  [./straint_yx]
    type = PointValue
    point = '0 0 0'
    variable = straint_yx
  [../]
  [./straint_yy]
    type = PointValue
    point = '0 0 0'
    variable = straint_yy
  [../]
  [./straint_yz]
    type = PointValue
    point = '0 0 0'
    variable = straint_yz
  [../]
  [./straint_zx]
    type = PointValue
    point = '0 0 0'
    variable = straint_zx
  [../]
  [./straint_zy]
    type = PointValue
    point = '0 0 0'
    variable = straint_zy
  [../]
  [./straint_zz]
    type = PointValue
    point = '0 0 0'
    variable = straint_zz
  [../]
  [./f_shear]
    type = PointValue
    point = '0 0 0'
    variable = f_shear
  [../]
  [./f_tensile]
    type = PointValue
    point = '0 0 0'
    variable = f_tensile
  [../]
  [./f_compressive]
    type = PointValue
    point = '0 0 0'
    variable = f_compressive
  [../]
  [./intnl_shear]
    type = PointValue
    point = '0 0 0'
    variable = intnl_shear
  [../]
  [./intnl_tensile]
    type = PointValue
    point = '0 0 0'
    variable = intnl_tensile
  [../]
  [./iter]
    type = PointValue
    point = '0 0 0'
    variable = iter
  [../]
  [./ls]
    type = PointValue
    point = '0 0 0'
    variable = ls
  [../]
[]


[UserObjects]
  [./coh]
    type = SolidMechanicsHardeningConstant
    value = 20
  [../]
  [./tanphi]
    type = SolidMechanicsHardeningConstant
    value = 0.5
  [../]
  [./tanpsi]
    type = SolidMechanicsHardeningConstant
    value = 2.055555555556E-01
  [../]
  [./t_strength]
    type = SolidMechanicsHardeningConstant
    value = 100
  [../]
  [./c_strength]
    type = SolidMechanicsHardeningConstant
    value = 100
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeLayeredCosseratElasticityTensor
    young = 10.0
    poisson = 0.25
    layer_thickness = 10.0
    joint_normal_stiffness = 2.5
    joint_shear_stiffness = 2.0
  [../]
  [./strain]
    type = ComputeCosseratIncrementalSmallStrain
  [../]
  [./admissible]
    type = ComputeMultipleInelasticCosseratStress
    inelastic_models = stress
    perform_finite_strain_rotations = false
  [../]
  [./stress]
    type = CappedWeakPlaneCosseratStressUpdate
    cohesion = coh
    tan_friction_angle = tanphi
    tan_dilation_angle = tanpsi
    tensile_strength = t_strength
    compressive_strength = c_strength
    tip_smoother = 0
    smoothing_tol = 0
    yield_function_tol = 1E-5
  [../]
[]

[Executioner]
  end_time = 1
  dt = 1
  type = Transient
[]

[Outputs]
  file_base = small_deform_cosserat3
  csv = true
[]

(modules/solid_mechanics/test/tests/neml2/elasticity/elasticity.i)

N = 2

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]

[Mesh]
  [gmg]
    type = GeneratedMeshGenerator
    dim = 3
    nx = ${N}
    ny = ${N}
    nz = ${N}
  []
[]

[Physics]
  [SolidMechanics]
    [QuasiStatic]
      [all]
        strain = SMALL
        new_system = true
        add_variables = true
        formulation = TOTAL
        volumetric_locking_correction = true
      []
    []
  []
[]

[NEML2]
  input = 'elasticity_neml2.i'
  [all]
    model = 'model'
    verbose = true
    device = 'cpu'

    moose_input_types = 'MATERIAL'
    moose_inputs = 'neml2_strain'
    neml2_inputs = 'forces/E'

    moose_output_types = 'MATERIAL'
    moose_outputs = 'neml2_stress'
    neml2_outputs = 'state/S'

    moose_derivative_types = 'MATERIAL'
    moose_derivatives = 'neml2_jacobian'
    neml2_derivatives = 'state/S forces/E'
  []
[]

[Materials]
  [convert_strain]
    type = RankTwoTensorToSymmetricRankTwoTensor
    from = 'mechanical_strain'
    to = 'neml2_strain'
  []
  [stress]
    type = ComputeLagrangianObjectiveCustomSymmetricStress
    custom_small_stress = 'neml2_stress'
    custom_small_jacobian = 'neml2_jacobian'
  []
[]

[BCs]
  [xfix]
    type = DirichletBC
    variable = disp_x
    boundary = left
    value = 0
  []
  [yfix]
    type = DirichletBC
    variable = disp_y
    boundary = bottom
    value = 0
  []
  [zfix]
    type = DirichletBC
    variable = disp_z
    boundary = back
    value = 0
  []
  [xdisp]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = right
    function = t
    preset = false
  []
[]

[Executioner]
  type = Transient
  solve_type = NEWTON
  petsc_options_iname = '-pc_type'
  petsc_options_value = 'lu'
  automatic_scaling = true
  dt = 1e-3
  dtmin = 1e-3
  num_steps = 5
  residual_and_jacobian_together = true
[]

[Outputs]
  exodus = true
[]

(test/tests/misc/check_error/coupled_grad_without_declare.i)

[Mesh]
  type = GeneratedMesh
  dim = 2
  xmin = -1
  xmax = 1
  ymin = -1
  ymax = 1
  nx = 10
  ny = 10
  elem_type = QUAD9
[]

[Functions]
  [forcing_fnu]
    type = ParsedFunction
    expression = -5.8*(x+y)+x*x*x-x+y*y*y-y
  []
  [forcing_fnv]
    type = ParsedFunction
    expression = -4
  []

  [slnu]
    type = ParsedGradFunction
    expression = x*x*x-x+y*y*y-y
    grad_x = 3*x*x-1
    grad_y = 3*y*y-1
  []
  [slnv]
    type = ParsedGradFunction
    expression = x*x+y*y
    grad_x = 2*x
    grad_y = 2*y
  []

  #NeumannBC functions
  [bc_fnut]
    type = ParsedFunction
    expression = 3*y*y-1
  []
  [bc_fnub]
    type = ParsedFunction
    expression = -3*y*y+1
  []
  [bc_fnul]
    type = ParsedFunction
    expression = -3*x*x+1
  []
  [bc_fnur]
    type = ParsedFunction
    expression = 3*x*x-1
  []
[]

[Variables]
  [u]
    order = THIRD
    family = HIERARCHIC
  []
  [v]
    order = SECOND
    family = LAGRANGE
  []
[]

[Kernels]
  active = 'diff1 diff2 test1 forceu forcev react'
  [diff1]
    type = Diffusion
    variable = u
  []
  [test1]
    type = CoupledConvection
    variable = u
    velocity_vector = v

    # Trigger the error in this class
    test_coupling_declaration_error = true
  []
  [diff2]
    type = Diffusion
    variable = v
  []
  [react]
    type = Reaction
    variable = u
  []

  [forceu]
    type = BodyForce
    variable = u
    function = forcing_fnu
  []
  [forcev]
    type = BodyForce
    variable = v
    function = forcing_fnv
  []
[]

[BCs]
  active = 'bc_u_tb bc_v bc_ul bc_ur bc_ut bc_ub'
  [bc_u]
    type = FunctionPenaltyDirichletBC
    variable = u
    function = slnu
    boundary = 'left right top bottom'
    penalty = 1e6
  []
  [bc_v]
    type = FunctionDirichletBC
    variable = v
    function = slnv
    boundary = 'left right top bottom'
  []

  [bc_u_lr]
    type = FunctionPenaltyDirichletBC
    variable = u
    function = slnu
    boundary = 'left right top bottom'
    penalty = 1e6
  []
  [bc_u_tb]
    type = CoupledKernelGradBC
    variable = u
    var2 = v
    vel = '0.1 0.1'
    boundary = 'top bottom left right'
  []

  [bc_ul]
    type = FunctionNeumannBC
    variable = u
    function = bc_fnul
    boundary = 'left'
  []
  [bc_ur]
    type = FunctionNeumannBC
    variable = u
    function = bc_fnur
    boundary = 'right'
  []
  [bc_ut]
    type = FunctionNeumannBC
    variable = u
    function = bc_fnut
    boundary = 'top'
  []
  [bc_ub]
    type = FunctionNeumannBC
    variable = u
    function = bc_fnub
    boundary = 'bottom'
  []
[]

[Preconditioning]
  active = ' '
  [prec]
    type = SMP
    full = true
  []
[]

[Postprocessors]
  active = 'L2u L2v'
  [dofs]
    type = NumDOFs
  []

  [h]
    type = AverageElementSize
  []

  [L2u]
    type = ElementL2Error
    variable = u
    function = slnu
  []
  [L2v]
    type = ElementL2Error
    variable = v
    function = slnv
  []
  [H1error]
    type = ElementH1Error
    variable = u
    function = solution
  []
  [H1Semierror]
    type = ElementH1SemiError
    variable = u
    function = solution
  []
[]

[Executioner]
  type = Steady

  solve_type = 'PJFNK'
  nl_rel_tol = 1e-15
  nl_abs_tol = 1e-13
[]

[Outputs]
  execute_on = 'timestep_end'
[]

[Debug]
  show_var_residual_norms = true
[]

(test/tests/restart/restart_subapp_not_parent/two_step_solve_sub.i)

[Mesh]
  type = GeneratedMesh
  dim = 2
  xmin = -1
  xmax =  1
  ymin = -1
  ymax =  1
  nx = 2
  ny = 2
  elem_type = QUAD9
[]

[Functions]
  [./exact_fn]
    type = ParsedFunction
    expression = t*t*(x*x+y*y)
  [../]

  [./forcing_fn]
    type = ParsedFunction
    expression = 2*t*(x*x+y*y)-4*t*t
  [../]
[]

[Variables]
  [./u]
    family = LAGRANGE
    order = SECOND
  [../]
[]

[ICs]
  [./u_var]
    type = FunctionIC
    variable = u
    function = exact_fn
  [../]
[]

[Kernels]
  [./td]
    type = TimeDerivative
    variable = u
  [../]

  [./diff]
    type = Diffusion
    variable = u
  [../]

  [./ffn]
    type = BodyForce
    variable = u
    function = forcing_fn
  [../]
[]

[BCs]
  [./all]
    type = FunctionDirichletBC
    variable = u
    boundary = 'left right top bottom'
    function = exact_fn
  [../]
[]

[Postprocessors]
  [./average]
    type = ElementAverageValue
    variable = u
  [../]
[]

[Executioner]
  type = Transient
  start_time = 0.0
  end_time = 2.0
  dt = 1.0
[]

[Outputs]
  [./checkpoint]
    type = Checkpoint
    num_files = 3
  [../]
[]

(test/tests/time_steppers/function_dt/function_dt_min.i)

[Mesh]
  type = GeneratedMesh
  dim = 2
  xmin = -1
  xmax =  1
  ymin = -1
  ymax =  1
  nx = 2
  ny = 2
  elem_type = QUAD9
[]

[Functions]
  [./exact_fn]
    type = ParsedFunction
    expression = t*t*(x*x+y*y)
  [../]

  [./forcing_fn]
    type = ParsedFunction
    expression = 2*t*(x*x+y*y)-4*t*t
  [../]

  [./dts]
    type = PiecewiseLinear
    x = '0   0.85 2'
    y = '0.2 0.2  0.2'
  [../]
[]

[Variables]
  [./u]
    family = LAGRANGE
    order = SECOND
  [../]
[]

[ICs]
  [./u_var]
    type = FunctionIC
    variable = u
    function = exact_fn
  [../]
[]

[Kernels]
  [./td]
    type = TimeDerivative
    variable = u
  [../]

  [./diff]
    type = Diffusion
    variable = u
  [../]

  [./ffn]
    type = BodyForce
    variable = u
    function = forcing_fn
  [../]
[]

[BCs]
  [./all]
    type = FunctionDirichletBC
    variable = u
    boundary = 'left right top bottom'
    function = exact_fn
  [../]
[]

[Executioner]
  type = Transient

  start_time = 0
  num_steps = 10
  [./TimeStepper]
    type = FunctionDT
    function = dts
    min_dt = 0.1
  [../]
[]

[Outputs]
  exodus = true
[]

(modules/navier_stokes/test/tests/finite_element/ins/scalar_adr/supg/2d_advection_error_testing.i)

ax=1
ay=1

[GlobalParams]
  u = ${ax}
  v = ${ay}
  pressure = 0
  tau_type = mod
  transient_term = true
[]

[Mesh]
  type = GeneratedMesh
  dim = 2
  nx = 2
  ny = 2
  xmax = 1
  ymax = 1
  elem_type = QUAD9
[]

[Variables]
  [./c]
    family = LAGRANGE
    order = SECOND
  [../]
[]

[Kernels]
  [./adv]
    type = AdvectionSUPG
    variable = c
    forcing_func = 'ffn'
  [../]
[]

[BCs]
  [./all]
    type = FunctionDirichletBC
    variable = c
    boundary = 'left right top bottom'
    function = 'c_func'
  [../]
[]

[Materials]
  [./mat]
    type = GenericConstantMaterial
    prop_names = 'mu rho'
    prop_values = '0 1'
  [../]
[]

[Functions]
  [./ffn]
    type = ParsedFunction
    expression = '${ax}*(0.14*pi*y*cos(0.2*pi*x*y) + 0.2*pi*cos(0.5*pi*x)) + ${ay}*(0.14*pi*x*cos(0.2*pi*x*y) + 0.4*pi*cos(pi*y))'
  [../]
  [./c_func]
    type = ParsedFunction
    expression = '0.4*sin(0.5*pi*x) + 0.4*sin(pi*y) + 0.7*sin(0.2*pi*x*y) + 0.5'
  [../]
  [./cx_func]
    type = ParsedFunction
    expression = '0.14*pi*y*cos(0.2*pi*x*y) + 0.2*pi*cos(0.5*pi*x)'
  [../]
[]

# [Executioner]
#   type = Steady
#   petsc_options_iname = '-pc_type -pc_factor_shift_type'
#   petsc_options_value = 'lu NONZERO'
# []

[Executioner]
  type = Transient
  num_steps = 10
  petsc_options = '-snes_converged_reason -ksp_converged_reason -snes_view'
  petsc_options_iname = '-pc_type -pc_factor_shift_type -pc_factor_mat_solver_package'
  petsc_options_value = 'lu NONZERO superlu_dist'
  line_search = 'none'
  nl_rel_tol = 1e-8
  nl_abs_tol = 1e-12
  nl_max_its = 10
  l_tol = 1e-6
  l_max_its = 10
  [./TimeStepper]
    dt = .05
    type = IterationAdaptiveDT
    cutback_factor = 0.4
    growth_factor = 1.2
    optimal_iterations = 20
  [../]
[]

[Outputs]
  [./exodus]
    type = Exodus
  [../]
  [./csv]
    type = CSV
  [../]
[]

[Postprocessors]
  [./L2c]
    type = ElementL2Error
    variable = c
    function = c_func
    outputs = 'console'    execute_on = 'timestep_end'
  [../]
  [./L2cx]
    type = ElementL2Error
    variable = cx
    function = cx_func
    outputs = 'console'    execute_on = 'timestep_end'
  [../]
[]

[AuxVariables]
  [./cx]
    family = MONOMIAL
    order = FIRST
  [../]
[]

[AuxKernels]
  [./cx_aux]
    type = VariableGradientComponent
    component = x
    variable = cx
    gradient_variable = c
  [../]
[]

(modules/contact/test/tests/mortar_cartesian_lms/cylinder_friction_cartesian.i)

[GlobalParams]
  volumetric_locking_correction = true
  displacements = 'disp_x disp_y'
[]

[Mesh]
  [input_file]
    type = FileMeshGenerator
    file = hertz_cyl_coarser.e
  []
  [secondary]
    type = LowerDBlockFromSidesetGenerator
    new_block_id = 10001
    new_block_name = 'secondary_lower'
    sidesets = '3'
    input = input_file
  []
  [primary]
    type = LowerDBlockFromSidesetGenerator
    new_block_id = 10000
    sidesets = '2'
    new_block_name = 'primary_lower'
    input = secondary
  []
[]

[Problem]
  type = ReferenceResidualProblem
  extra_tag_vectors = 'ref'
  reference_vector = 'ref'
  converge_on = 'disp_x disp_y'
[]

[Variables]
  [disp_x]
  []
  [disp_y]
  []
  [lm_x]
    block = 'secondary_lower'
    use_dual = true
    scaling = 1.0e-5
  []
  [lm_y]
    block = 'secondary_lower'
    use_dual = true
    scaling = 1.0e-5
  []
[]

[AuxVariables]
  [stress_xx]
    order = CONSTANT
    family = MONOMIAL
  []
  [stress_yy]
    order = CONSTANT
    family = MONOMIAL
  []
  [stress_xy]
    order = CONSTANT
    family = MONOMIAL
  []
  [saved_x]
  []
  [saved_y]
  []
  [diag_saved_x]
  []
  [diag_saved_y]
  []
[]

[Functions]
  [disp_ramp_vert]
    type = PiecewiseLinear
    x = '0. 1. 3.5'
    y = '0. -0.020 -0.020'
  []
  [disp_ramp_horz]
    type = PiecewiseLinear
    x = '0. 1. 3.5'
    y = '0. 0.0 0.015'
  []
[]

[Physics/SolidMechanics/QuasiStatic]
  [all]
    incremental = false
    save_in = 'saved_x saved_y'
    extra_vector_tags = 'ref'
    block = '1 2 3 4 5 6 7'
    strain = SMALL
    add_variables = false
  []
[]

[AuxKernels]
  [stress_xx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xx
    index_i = 0
    index_j = 0
    execute_on = timestep_end
    block = '1 2 3 4 5 6 7'
  []
  [stress_yy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yy
    index_i = 1
    index_j = 1
    execute_on = timestep_end
    block = '1 2 3 4 5 6 7'
  []
  [stress_xy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xy
    index_i = 0
    index_j = 1
    execute_on = timestep_end
    block = '1 2 3 4 5 6 7'
  []
[]

[Postprocessors]
  [bot_react_x]
    type = NodalSum
    variable = saved_x
    boundary = 1
  []
  [bot_react_y]
    type = NodalSum
    variable = saved_y
    boundary = 1
  []
  [top_react_x]
    type = NodalSum
    variable = saved_x
    boundary = 4
  []
  [top_react_y]
    type = NodalSum
    variable = saved_y
    boundary = 4
  []
  [_dt]
    type = TimestepSize
  []
[]

[BCs]
  [side_x]
    type = DirichletBC
    variable = disp_y
    boundary = '1 2'
    value = 0.0
  []
  [bot_y]
    type = DirichletBC
    variable = disp_x
    boundary = '1 2'
    value = 0.0
  []
  [top_y_disp]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 4
    function = disp_ramp_vert
  []
  [top_x_disp]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 4
    function = disp_ramp_horz
  []
[]

[Materials]
  [stuff1_elas_tens]
    type = ComputeIsotropicElasticityTensor
    block = '1'
    youngs_modulus = 1e10
    poissons_ratio = 0.0
  []
  [stuff2_elas_tens]
    type = ComputeIsotropicElasticityTensor
    block = '2 3 4 5 6 7'
    youngs_modulus = 1e6
    poissons_ratio = 0.3
  []
  [stuff1_stress]
    type = ComputeLinearElasticStress
    block = '1'
  []
  [stuff2_stress]
    type = ComputeLinearElasticStress
    block = '2 3 4 5 6 7'
  []
[]

[Executioner]
  type = Transient
  solve_type = 'NEWTON'

  petsc_options = '-snes_converged_reason -ksp_converged_reason -pc_svd_monitor '
                  '-snes_linesearch_monitor'
  petsc_options_iname = '-pc_type   -pc_factor_shift_type -pc_factor_shift_amount'
  petsc_options_value = 'lu          NONZERO               1e-12'
  line_search = 'none'
  nl_abs_tol = 1e-7
  l_max_its = 5
  nl_rel_tol = 1e-09
  start_time = -0.1
  end_time = 0.3 # 3.5
  l_tol = 1e-8
  dt = 0.1
  dtmin = 0.001
[]

[Preconditioning]
  [SMP]
    type = SMP
    full = true
  []
[]

[VectorPostprocessors]
  [x_disp]
    type = NodalValueSampler
    variable = disp_x
    boundary = '3 4'
    sort_by = id
  []
  [y_disp]
    type = NodalValueSampler
    variable = disp_y
    boundary = '3 4'
    sort_by = id
  []
  [lm_x]
    type = NodalValueSampler
    variable = lm_x
    boundary = '3'
    sort_by = id
  []
  [lm_y]
    type = NodalValueSampler
    variable = lm_y
    boundary = '3'
    sort_by = id
  []
[]

[Outputs]
  print_linear_residuals = true
  perf_graph = true
  exodus = true
  csv = false
  [console]
    type = Console
    max_rows = 5
  []
  [chkfile]
    type = CSV
    show = 'x_disp y_disp lm_x lm_y'
    file_base = cylinder_friction_check
    create_final_symlink = true
    execute_on = 'FINAL'
  []
[]

[Constraints]
  [weighted_gap_lm]
    type = ComputeFrictionalForceCartesianLMMechanicalContact
    primary_boundary = 2
    secondary_boundary = 3
    primary_subdomain = 10000
    secondary_subdomain = 10001
    lm_x = lm_x
    lm_y = lm_y
    variable = lm_x
    disp_x = disp_x
    disp_y = disp_y
    use_displaced_mesh = true
    correct_edge_dropping = false
    mu = 0.4
    c_t = 1.0e6
    c = 1.0e6
  []
  [x]
    type = CartesianMortarMechanicalContact
    primary_boundary = '2'
    secondary_boundary = '3'
    primary_subdomain = '10000'
    secondary_subdomain = '10001'
    variable = lm_x
    secondary_variable = disp_x
    component = x
    use_displaced_mesh = true
    compute_lm_residuals = false
    correct_edge_dropping = false
  []
  [y]
    type = CartesianMortarMechanicalContact
    primary_boundary = '2'
    secondary_boundary = '3'
    primary_subdomain = '10000'
    secondary_subdomain = '10001'
    variable = lm_y
    secondary_variable = disp_y
    component = y
    use_displaced_mesh = true
    compute_lm_residuals = false
    correct_edge_dropping = false
  []

[]

(modules/contact/test/tests/bouncing-block-contact/frictionless-weighted-gap.i)

starting_point = 2e-1
offset = 1e-2

[GlobalParams]
  displacements = 'disp_x disp_y'
  diffusivity = 1e0
  scaling = 1e0
[]

[Mesh]
  file = long-bottom-block-1elem-blocks.e
[]

[Variables]
  [disp_x]
    block = '1 2'
  []
  [disp_y]
    block = '1 2'
  []
  [normal_lm]
    block = 3
  []
[]

[ICs]
  [disp_y]
    block = 2
    variable = disp_y
    value = '${fparse starting_point + offset}'
    type = ConstantIC
  []
[]

[Kernels]
  [disp_x]
    type = MatDiffusion
    variable = disp_x
  []
  [disp_y]
    type = MatDiffusion
    variable = disp_y
  []
[]

[UserObjects]
  [weighted_gap_uo]
    type = LMWeightedGapUserObject
    primary_boundary = 20
    secondary_boundary = 10
    primary_subdomain = 4
    secondary_subdomain = 3
    lm_variable = normal_lm
    disp_x = disp_x
    disp_y = disp_y
  []
[]

[Constraints]
  [weighted_gap_lm]
    type = ComputeWeightedGapLMMechanicalContact
    primary_boundary = 20
    secondary_boundary = 10
    primary_subdomain = 4
    secondary_subdomain = 3
    variable = normal_lm
    disp_x = disp_x
    disp_y = disp_y
    use_displaced_mesh = true
    c = 1
    weighted_gap_uo = weighted_gap_uo
  []
  [normal_x]
    type = NormalMortarMechanicalContact
    primary_boundary = 20
    secondary_boundary = 10
    primary_subdomain = 4
    secondary_subdomain = 3
    variable = normal_lm
    secondary_variable = disp_x
    component = x
    use_displaced_mesh = true
    compute_lm_residuals = false
    weighted_gap_uo = weighted_gap_uo
  []
  [normal_y]
    type = NormalMortarMechanicalContact
    primary_boundary = 20
    secondary_boundary = 10
    primary_subdomain = 4
    secondary_subdomain = 3
    variable = normal_lm
    secondary_variable = disp_y
    component = y
    use_displaced_mesh = true
    compute_lm_residuals = false
    weighted_gap_uo = weighted_gap_uo
  []
[]

[BCs]
  [botx]
    type = DirichletBC
    variable = disp_x
    boundary = 40
    value = 0.0
  []
  [boty]
    type = DirichletBC
    variable = disp_y
    boundary = 40
    value = 0.0
  []
  [topy]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 30
    function = '${starting_point} * cos(2 * pi / 40 * t) + ${offset}'
    preset = false
  []
  [leftx]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 50
    function = '1e-2 * t'
    preset = false
  []
[]

[Executioner]
  type = Transient
  end_time = 200
  dt = 5
  dtmin = .1
  solve_type = 'PJFNK'
  petsc_options = '-snes_converged_reason -ksp_converged_reason -pc_svd_monitor -snes_linesearch_monitor'
  petsc_options_iname = '-pc_type -pc_factor_shift_type -pc_factor_shift_amount -mat_mffd_err'
  petsc_options_value = 'lu       NONZERO               1e-15                   1e-5'
  l_max_its = 30
  nl_max_its = 20
  line_search = 'none'
  snesmf_reuse_base = true
  nl_rel_tol = 1e-12
[]

[Debug]
  show_var_residual_norms = true
[]

[Outputs]
  exodus = true
[]

[Preconditioning]
  [smp]
    type = SMP
    full = true
  []
[]

[Postprocessors]
  active = 'num_nl cumulative contact'
  [num_nl]
    type = NumNonlinearIterations
  []
  [cumulative]
    type = CumulativeValuePostprocessor
    postprocessor = num_nl
  []
  [contact]
    type = ContactDOFSetSize
    variable = normal_lm
    subdomain = '3'
    execute_on = 'nonlinear timestep_end'
  []
[]

(modules/contact/examples/2d_indenter/indenter_rz_nodeface_friction.i)


[GlobalParams]
  volumetric_locking_correction = true
  displacements = 'disp_x disp_y'
[]

[Problem]
  coord_type = RZ
  type = ReferenceResidualProblem
  reference_vector = 'ref'
  extra_tag_vectors = 'ref'
[]

[Mesh]#Comment
  file = indenter_rz_fine.e
  displacements = 'disp_x disp_y'

  # For NodalVariableValue to work with distributed mesh
  allow_renumbering = false
[] # Mesh

[Functions]
  [./disp_y]
    type = PiecewiseLinear
    x = '0.  1.0     1.8    2.   3.0'
    y = '0.  -4.5   -5.4   -5.4  -4.0'
  [../]
[] # Functions

[Variables]
  [./disp_x]
    order = FIRST
    family = LAGRANGE
  [../]

  [./disp_y]
    order = FIRST
    family = LAGRANGE
  [../]

[] # Variables

[AuxVariables]
  [saved_x]
  []
  [saved_y]
  []
[]
[Physics/SolidMechanics/QuasiStatic]
  [./all]
    add_variables = true
    strain = FINITE
    block = '1 2'
    use_automatic_differentiation = false
    generate_output = 'stress_xx stress_xy stress_xz stress_yy stress_zz'
    save_in = 'saved_x saved_y'
  [../]
[]

[AuxKernels]
[] # AuxKernels

[BCs]

# Symmetries of the Problem
[./symm_x_indenter]
  type = DirichletBC
  variable = disp_x
  boundary = 5
  value = 0.0
[../]

[./symm_x_material]
  type = DirichletBC
  variable = disp_x
  boundary = 9
  value = 0.0
[../]

# Material should not fly away
[./material_base_y]
  type = DirichletBC
  variable = disp_y
  boundary = 8
  value = 0.0
[../]

# Drive indenter motion
[./disp_y]
  type = FunctionDirichletBC
  variable = disp_y
  boundary = 1
  function = disp_y
[../]

[] # BCs


[Contact]
  [./dummy_name]
    primary = 6
    secondary = 4
    model = coulomb
    formulation = penalty
    normalize_penalty = true
    friction_coefficient = 0.5
    penalty = 8e6
    tangential_tolerance = 0.005
  [../]
[]


[Dampers]
  [./contact_slip]
    type = ContactSlipDamper
    secondary = 4
    primary = 6
  [../]
[]

[Materials]
  [./tensor]
    type = ComputeIsotropicElasticityTensor
    block = '1'
    youngs_modulus = 1.0e7
    poissons_ratio = 0.25
  [../]
  [./stress]
    type = ComputeFiniteStrainElasticStress
    block = '1'
  [../]

  [./tensor_2]
    type = ComputeIsotropicElasticityTensor
    block = '2'
    youngs_modulus = 1e6
    poissons_ratio = 0.0
  [../]

  [./power_law_hardening]
    type = IsotropicPowerLawHardeningStressUpdate
    strength_coefficient = 1e5 #K
    strain_hardening_exponent = 0.5 #n
    block = '2'
  [../]
  [./radial_return_stress]
    type = ComputeMultipleInelasticStress
    inelastic_models = 'power_law_hardening'
    tangent_operator = elastic
    block = '2'
  [../]

[]

[Preconditioning]
  [./SMP]
    type = SMP
    full = true
  []
[]

[Executioner]
  type = Transient
  solve_type = 'PJFNK'
  petsc_options = '-snes_ksp_ew'

  petsc_options_iname = '-pc_type -snes_linesearch_type -pc_factor_shift_type -pc_factor_shift_amount'
  petsc_options_value = 'lu       basic                 NONZERO               1e-15'
  line_search = 'none'
  automatic_scaling = true
  nl_abs_tol = 1.5e-07
  nl_rel_tol = 1.5e-07
  l_max_its = 40
  start_time = 0.0
  dt = 0.025
  end_time = 3.0
[]

[Postprocessors]
  [./maxdisp]
    type = NodalVariableValue
    nodeid = 39 # 40-1 where 40 is the exodus node number
    variable = disp_y
  [../]
  [resid_y]
    type = NodalSum
    variable = saved_y
    boundary = 1
  []
[]

[Outputs]
  [./out]
    type = Exodus
    elemental_as_nodal = true
  [../]
  perf_graph = true
  csv = true
[]

(modules/solid_mechanics/test/tests/lagrangian/centrosymmetric_spherical/total/action/action.i)

[GlobalParams]
  displacements = 'disp_r'
[]

[Mesh]
  [gmg]
    type = GeneratedMeshGenerator
    dim = 1
    nx = 2
  []
[]

[Problem]
  coord_type = RSPHERICAL
[]

[Physics]
  [SolidMechanics]
    [QuasiStatic]
      [all]
        formulation = TOTAL
        strain = FINITE
        add_variables = true
        new_system = true
        volumetric_locking_correction = true
      []
    []
  []
[]

[BCs]
  [bottom]
    type = DirichletBC
    preset = false
    variable = disp_r
    boundary = left
    value = 0.0
  []
  [top]
    type = FunctionDirichletBC
    preset = false
    variable = disp_r
    boundary = right
    function = 't'
  []
[]

[Materials]
  [elastic_tensor]
    type = ComputeIsotropicElasticityTensor
    youngs_modulus = 1000.0
    poissons_ratio = 0.25
  []
  [compute_stress]
    type = ComputeLagrangianLinearElasticStress
    large_kinematics = true
  []
[]

[Executioner]
  type = Transient

  solve_type = NEWTON

  petsc_options_iname = '-pc_type'
  petsc_options_value = 'lu'
  automatic_scaling = true

  nl_abs_tol = 1e-10
  nl_rel_tol = 1e-10

  dt = 0.1
  num_steps = 1
[]

[Outputs]
  exodus = true
[]

(modules/combined/test/tests/axisymmetric_2d3d_solution_function/3dy.i)

[GlobalParams]
  order = FIRST
  family = LAGRANGE
  displacements = 'disp_x disp_y disp_z'
[]

[Mesh]
  file = 3dy.e
[]

[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
[]

[AuxVariables]
  [./temp]
  [../]
  [./hoop_stress]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]

[UserObjects]
  [./soln]
    type = SolutionUserObject
    mesh = 2d_out.e
    system_variables = 'disp_x disp_y temp'
  [../]
[]

[Functions]
  [./soln_func_temp]
    type = Axisymmetric2D3DSolutionFunction
    solution = soln
    from_variables = 'temp'
  [../]
  [./soln_func_disp_x]
    type = Axisymmetric2D3DSolutionFunction
    solution = soln
    from_variables = 'disp_x disp_y'
    component = 0
  [../]
  [./soln_func_disp_y]
    type = Axisymmetric2D3DSolutionFunction
    solution = soln
    from_variables = 'disp_x disp_y'
    component = 1
  [../]
  [./soln_func_disp_z]
    type = Axisymmetric2D3DSolutionFunction
    solution = soln
    from_variables = 'disp_x disp_y'
    component = 2
  [../]
[]

[Physics/SolidMechanics/QuasiStatic]
  [./all]
    volumetric_locking_correction = true
    add_variables  = true
    incremental = true
    strain = FINITE
    eigenstrain_names = thermal_expansion
    generate_output = 'stress_xx stress_yy stress_zz vonmises_stress hydrostatic_stress'
  [../]
[]

[AuxKernels]
  [./t_soln_aux]
    type = FunctionAux
    variable = temp
    block = '1 2'
    function = soln_func_temp
  [../]
  [./hoop_stress]
    type = RankTwoScalarAux
    rank_two_tensor = stress
    variable = hoop_stress
    scalar_type = HoopStress
    execute_on = timestep_end
  [../]
[]

[BCs]
  [./x_soln_bc]
    type = FunctionDirichletBC
    variable = disp_x
    preset = false
    boundary = '1 2'
    function = soln_func_disp_x
  [../]
  [./y_soln_bc]
    type = FunctionDirichletBC
    variable = disp_y
    preset = false
    boundary = '1 2'
    function = soln_func_disp_y
  [../]
  [./z_soln_bc]
    type = FunctionDirichletBC
    variable = disp_z
    preset = false
    boundary = '1 2'
    function = soln_func_disp_z
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeIsotropicElasticityTensor
    block = '1 2'
    youngs_modulus = 193.05e9
    poissons_ratio = 0.3
  [../]

  [./stress]
    type = ComputeFiniteStrainElasticStress
    block = '1 2'
  [../]

  [./thermal_expansion]
    type = ComputeThermalExpansionEigenstrain
    block = '1 2'
    thermal_expansion_coeff = 13e-6
    stress_free_temperature = 295.00
    temperature = temp
    eigenstrain_name = thermal_expansion
  [../]

  [./density]
    type = Density
    block = '1'
    density = 8000.0
  [../]
[]

[Executioner]
  type = Transient
  solve_type = 'PJFNK'

  petsc_options = '-ksp_snes_ew'
  petsc_options_iname = '-ksp_gmres_restart -pc_type -pc_hypre_type -pc_hypre_boomeramg_max_iter'
  petsc_options_value = ' 201                hypre    boomeramg      4'
  line_search = 'none'
  l_max_its = 25
  nl_max_its = 20
  nl_rel_tol = 1e-10
  l_tol = 1e-2

  start_time = 0.0
  dt = 1
  end_time = 1
  dtmin = 1
[]

[Outputs]
  file_base = 3dy_out
  exodus = true
  [./console]
    type = Console
    max_rows = 25
  [../]
[]

(modules/solid_mechanics/test/tests/capped_drucker_prager/small_deform2_native.i)

# apply repeated stretches in x, y and z directions, so that mean_stress = 0
# This maps out the yield surface in the octahedral plane for zero mean stress

[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]

[Physics/SolidMechanics/QuasiStatic]
  [./all]
    add_variables = true
    incremental = true
    generate_output = 'stress_xx stress_xy stress_xz stress_yy stress_yz stress_zz'
  [../]
[]

[BCs]
  [./x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'front back'
    function = '-1.5E-6*x+2E-6*x*sin(t)'
  [../]
  [./y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'front back'
    function = '2E-6*y*sin(2*t)'
  [../]
  [./z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'front back'
    function = '-2E-6*z*(sin(t)+sin(2*t))'
  [../]
[]

[AuxVariables]
  [./yield_fcn]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]

[AuxKernels]
  [./yield_fcn_auxk]
    type = MaterialStdVectorAux
    index = 0
    property = plastic_yield_function
    variable = yield_fcn
  [../]
[]

[Postprocessors]
  [./s_xx]
    type = PointValue
    point = '0 0 0'
    variable = stress_xx
  [../]
  [./s_xy]
    type = PointValue
    point = '0 0 0'
    variable = stress_xy
  [../]
  [./s_xz]
    type = PointValue
    point = '0 0 0'
    variable = stress_xz
  [../]
  [./s_yy]
    type = PointValue
    point = '0 0 0'
    variable = stress_yy
  [../]
  [./s_yz]
    type = PointValue
    point = '0 0 0'
    variable = stress_yz
  [../]
  [./s_zz]
    type = PointValue
    point = '0 0 0'
    variable = stress_zz
  [../]
  [./f]
    type = PointValue
    point = '0 0 0'
    variable = yield_fcn
  [../]
  [./f0]
    type = PointValue
    point = '0 0 0'
    variable = yield_fcn
  [../]
  [./f1]
    type = PointValue
    point = '0 0 0'
    variable = yield_fcn
  [../]
[]

[UserObjects]
  [./ts]
    type = SolidMechanicsHardeningConstant
    value = 1000
  [../]
  [./cs]
    type = SolidMechanicsHardeningConstant
    value = 1000
  [../]
  [./mc_coh]
    type = SolidMechanicsHardeningConstant
    value = 10
  [../]
  [./mc_phi]
    type = SolidMechanicsHardeningConstant
    value = 20
    convert_to_radians = true
  [../]
  [./mc_psi]
    type = SolidMechanicsHardeningConstant
    value = 0
  [../]
  [./dp]
    type = SolidMechanicsPlasticDruckerPrager
    mc_cohesion = mc_coh
    mc_friction_angle = mc_phi
    mc_dilation_angle = mc_psi
    mc_interpolation_scheme = native
    internal_constraint_tolerance = 1 # irrelevant here
    yield_function_tolerance = 1      # irrelevant here
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    block = 0
    fill_method = symmetric_isotropic
    C_ijkl = '0 1E7'
  [../]
  [./admissible]
    type = ComputeMultipleInelasticStress
    inelastic_models = cdp
    perform_finite_strain_rotations = false
  [../]
  [./cdp]
    type = CappedDruckerPragerStressUpdate
    DP_model = dp
    tensile_strength = ts
    compressive_strength = cs
    yield_function_tol = 1E-8
    tip_smoother = 4
    smoothing_tol = 1E-5
  [../]
[]


[Executioner]
  end_time = 100
  dt = 1
  type = Transient
[]


[Outputs]
  file_base = small_deform2_native
  exodus = false
  [./csv]
    type = CSV
  [../]
[]

(modules/solid_mechanics/test/tests/jacobian_damper/cube_load.i)

[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  displacements = 'disp_x disp_y disp_z'
  # This test uses ElementalVariableValue postprocessors on specific
  # elements, so element numbering needs to stay unchanged
  allow_renumbering = false
[]

[Variables]
  [./disp_x]
    order = FIRST
    family = LAGRANGE
  [../]

  [./disp_y]
    order = FIRST
    family = LAGRANGE
  [../]

  [./disp_z]
    order = FIRST
    family = LAGRANGE
  [../]
[]

[AuxVariables]
  [./stress_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]

  [./total_strain_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]

[Functions]
  [./top_pull]
    type = PiecewiseLinear
    x = '0 1     2'
    y = '0 0.025 0.05'
  [../]
[]

[Kernels]
  [SolidMechanics]
    displacements = 'disp_x disp_y disp_z'
    use_displaced_mesh = true
  [../]
[]

[AuxKernels]
  [./stress_yy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yy
    index_i = 1
    index_j = 1
  [../]

  [./total_strain_yy]
    type = RankTwoAux
    rank_two_tensor = total_strain
    variable = total_strain_yy
    index_i = 1
    index_j = 1
  [../]
[]


[BCs]
  [./y_pull_function]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 3
    function = top_pull
  [../]

  [./x_bot]
    type = DirichletBC
    variable = disp_x
    boundary = 4
    value = 0.0
  [../]

  [./y_bot]
    type = DirichletBC
    variable = disp_y
    boundary = 1
    value = 0.0
  [../]

  [./z_bot]
    type = DirichletBC
    variable = disp_z
    boundary = 0
    value = 0.0
  [../]
[]

[Postprocessors]
  [./stress_yy_el]
    type = ElementalVariableValue
    variable = stress_yy
    elementid = 0
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeIsotropicElasticityTensor
    poissons_ratio = 0.3
    youngs_modulus = 2e5
  [../]
  [./strain]
    type = ComputeFiniteStrain
    displacements = 'disp_x disp_y disp_z'
  [../]
  [./stress]
    type = ComputeFiniteStrainElasticStress
  [../]
[]

[Dampers]
  [./disp_x_damp]
    type = ElementJacobianDamper
    max_increment = 0.002
    displacements = 'disp_x disp_y disp_z'
  [../]
[]

[Executioner]
  type = Transient

  #Preconditioned JFNK (default)
  solve_type = 'PJFNK'

  petsc_options = '-snes_ksp_ew'
  petsc_options_iname = '-ksp_gmres_restart -pc_type -pc_hypre_type -pc_hypre_boomeramg_max_iter'
  petsc_options_value = '201                hypre    boomeramg      4'

  line_search = 'none'

  l_max_its = 100
  nl_max_its = 100
  nl_rel_tol = 1e-12
  nl_abs_tol = 1e-10
  l_tol = 1e-9

  start_time = 0.0
  end_time = 2
  dt = 1
[]

[Outputs]
  exodus = true
[]

(test/tests/geomsearch/2d_moving_penetration/pl_test4nns.i)

[GlobalParams]
  order = FIRST
  family = LAGRANGE
[]

[Mesh]
  file = pl_test4.e
  displacements = 'disp_x disp_y'
[]

[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
[]

[AuxVariables]
  [./distance]
  [../]
  [./tangential_distance]
  [../]
  [./normal_x]
  [../]
  [./normal_y]
  [../]
  [./closest_point_x]
  [../]
  [./closest_point_y]
  [../]
  [./element_id]
  [../]
  [./side]
  [../]
[]

[Kernels]
  [./diff_x]
    type = Diffusion
    variable = disp_x
  [../]
  [./diff_y]
    type = Diffusion
    variable = disp_y
  [../]
[]

[AuxKernels]
  [./penetrate]
    type = PenetrationAux
    variable = distance
    boundary = 11            #secondary
    paired_boundary = 12     #primary
  [../]

  [./penetrate2]
    type = PenetrationAux
    variable = distance
    boundary = 12            #secondary
    paired_boundary = 11     #primary
    normal_smoothing_method = nodal_normal_based
  [../]

  [./penetrate3]
    type = PenetrationAux
    variable = tangential_distance
    boundary = 11
    paired_boundary = 12
    quantity = tangential_distance
  [../]

  [./penetrate4]
    type = PenetrationAux
    variable = tangential_distance
    boundary = 12
    paired_boundary = 11
    quantity = tangential_distance
  [../]

  [./penetrate5]
    type = PenetrationAux
    variable = normal_x
    boundary = 11
    paired_boundary = 12
    quantity = normal_x
  [../]

  [./penetrate6]
    type = PenetrationAux
    variable = normal_x
    boundary = 12
    paired_boundary = 11
    quantity = normal_x
  [../]

  [./penetrate7]
    type = PenetrationAux
    variable = normal_y
    boundary = 11
    paired_boundary = 12
    quantity = normal_y
  [../]

  [./penetrate8]
    type = PenetrationAux
    variable = normal_y
    boundary = 12
    paired_boundary = 11
    quantity = normal_y
  [../]

  [./penetrate9]
    type = PenetrationAux
    variable = closest_point_x
    boundary = 11
    paired_boundary = 12
    quantity = closest_point_x
  [../]

  [./penetrate10]
    type = PenetrationAux
    variable = closest_point_x
    boundary = 12
    paired_boundary = 11
    quantity = closest_point_x
  [../]

  [./penetrate11]
    type = PenetrationAux
    variable = closest_point_y
    boundary = 11
    paired_boundary = 12
    quantity = closest_point_y
  [../]

  [./penetrate12]
    type = PenetrationAux
    variable = closest_point_y
    boundary = 12
    paired_boundary = 11
    quantity = closest_point_y
  [../]

  [./penetrate13]
    type = PenetrationAux
    variable = element_id
    boundary = 11
    paired_boundary = 12
    quantity = element_id
  [../]

  [./penetrate14]
    type = PenetrationAux
    variable = element_id
    boundary = 12
    paired_boundary = 11
    quantity = element_id
  [../]

  [./penetrate15]
    type = PenetrationAux
    variable = side
    boundary = 11
    paired_boundary = 12
    quantity = side
  [../]

  [./penetrate16]
    type = PenetrationAux
    variable = side
    boundary = 12
    paired_boundary = 11
    quantity = side
  [../]
[]

[BCs]
  [./b1x]
    type = DirichletBC
    variable = disp_x
    boundary = 1
    value = 0
  [../]

  [./b1y]
    type = DirichletBC
    variable = disp_y
    boundary = 1
    value = 0
  [../]

  [./b2x]
    type = DirichletBC
    variable = disp_x
    boundary = 2
    value = 0
  [../]

  [./b2y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 2
    function = disp_y
  [../]
[]

[Functions]
  [./disp_y]
    type = PiecewiseLinear
    x = '0.0 0.25 0.75 1.0'
    y = '0.0 2.0 -2.0  0.0'
  [../]
[]

[Executioner]
  type = Transient

  solve_type = 'PJFNK'
  petsc_options = '-snes_ksp_ew'

  nl_rel_tol = 1e-10
  l_max_its = 10

  start_time = 0.0
  dt = 0.0125
  end_time = 1.0
[]

[Outputs]
  file_base = pl_test4nns_out
  exodus = true
[]

[NodalNormals]
  boundary = 11
  corner_boundary = 20
[]

(modules/combined/test/tests/generalized_plane_strain_tm_contact/generalized_plane_strain_tm_contact.i)

[GlobalParams]
  order = FIRST
  family = LAGRANGE
  displacements = 'disp_x disp_y'
  scalar_out_of_plane_strain = scalar_strain_zz
  temperature = temp
[]

[Mesh]
  file = 2squares.e
[]

[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./temp]
  [../]
  [./scalar_strain_zz]
    order = FIRST
    family = SCALAR
  [../]
[]

[AuxVariables]
  [./stress_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]

  [./strain_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./strain_xy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./strain_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./strain_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]

[Postprocessors]
  [./react_z]
    type = MaterialTensorIntegral
    rank_two_tensor = stress
    index_i = 2
    index_j = 2
  [../]
[]

[Kernels]
  [./TensorMechanics]
    use_displaced_mesh = true
  [../]
  [./heat]
    type = HeatConduction
    variable = temp
  [../]
[]

[Physics]
  [./SolidMechanics]
    [./GeneralizedPlaneStrain]
      [./gps]
        use_displaced_mesh = true
      [../]
    [../]
  [../]
[]

[AuxKernels]
  [./stress_xx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xx
    index_i = 0
    index_j = 0
  [../]
  [./stress_xy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xy
    index_i = 0
    index_j = 1
  [../]
  [./stress_yy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yy
    index_i = 1
    index_j = 1
  [../]
  [./stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zz
    index_i = 2
    index_j = 2
  [../]

  [./strain_xx]
    type = RankTwoAux
    rank_two_tensor = total_strain
    variable = strain_xx
    index_i = 0
    index_j = 0
  [../]
  [./strain_xy]
    type = RankTwoAux
    rank_two_tensor = total_strain
    variable = strain_xy
    index_i = 0
    index_j = 1
  [../]
  [./strain_yy]
    type = RankTwoAux
    rank_two_tensor = total_strain
    variable = strain_yy
    index_i = 1
    index_j = 1
  [../]
  [./strain_zz]
    type = RankTwoAux
    rank_two_tensor = total_strain
    variable = strain_zz
    index_i = 2
    index_j = 2
  [../]
[]

[Functions]
  [./tempramp]
    type = ParsedFunction
    expression = 't'
  [../]
[]

[BCs]
  [./x]
    type = DirichletBC
    boundary = '4 6'
    variable = disp_x
    value = 0.0
  [../]
  [./y]
    type = DirichletBC
    boundary = '4 6'
    variable = disp_y
    value = 0.0
  [../]
  [./t]
    type = DirichletBC
    boundary = '4'
    variable = temp
    value = 0.0
  [../]
  [./tramp]
    type = FunctionDirichletBC
    variable = temp
    boundary = '6'
    function = tempramp
  [../]
[]

[Preconditioning]
  [./SMP]
    type = SMP
    off_diag_row =    'disp_x disp_y'
    off_diag_column = 'disp_y disp_x'
  [../]
[]

[Contact]
  [./mech]
    primary = 8
    secondary = 2
    penalty = 1e+10
    normalize_penalty = true
    tangential_tolerance = .1
    normal_smoothing_distance = .1
    model = frictionless
    formulation = kinematic
  [../]
[]

[ThermalContact]
  [./thermal]
    type = GapHeatTransfer
    primary = 8
    secondary = 2
    emissivity_primary = 0
    emissivity_secondary = 0
    variable = temp
    tangential_tolerance = .1
    normal_smoothing_distance = .1
    gap_conductivity = 0.01
    min_gap = 0.001
    quadrature = true
  [../]
[]

[Materials]
  [./elastic_tensor]
    type = ComputeIsotropicElasticityTensor
    poissons_ratio = 0.3
    youngs_modulus = 1e6
    block = '1 2'
  [../]
  [./strain]
    type = ComputePlaneSmallStrain
    eigenstrain_names = eigenstrain
    block = '1 2'
  [../]
  [./thermal_strain]
    type = ComputeThermalExpansionEigenstrain
    temperature = temp
    thermal_expansion_coeff = 0.02
    stress_free_temperature = 0.0
    eigenstrain_name = eigenstrain
    block = '1 2'
  [../]
  [./stress]
    type = ComputeLinearElasticStress
    block = '1 2'
  [../]

  [./heatcond]
    type = HeatConductionMaterial
    thermal_conductivity = 3.0
    specific_heat = 300.0
    block = '1 2'
  [../]

  [./density]
    type = GenericConstantMaterial
    prop_names = 'density'
    prop_values = '1'
  [../]
[]

[Executioner]
  type = Transient

  solve_type = PJFNK
  line_search = none

  petsc_options_iname = '-pc_type -ps_sub_type -pc_factor_mat_solver_package'
  petsc_options_value = 'asm      lu           superlu_dist'

# controls for linear iterations
  l_max_its = 100
  l_tol = 1e-4

# controls for nonlinear iterations
  nl_max_its = 20
  nl_rel_tol = 1e-9
  nl_abs_tol = 1e-10

# time control
  start_time = 0.0
  dt = 0.2
  dtmin = 0.2
  end_time = 2.0
[]

[Outputs]
  exodus = true
[]

(modules/navier_stokes/test/tests/auxkernels/peclet-number-functor-aux/fe-thermal.i)

rho = 1
mu = 1
k = 1
cp = 1

[GlobalParams]
  gravity = '0 0 0'
  pspg = true
[]

[Mesh]
  [gen]
    type = GeneratedMeshGenerator
    dim = 2
    nx = 10
    ny = 10
  []
  [corner_node]
    type = ExtraNodesetGenerator
    new_boundary = 'pinned_node'
    nodes = '0'
    input = gen
  []
[]

[AuxVariables]
  [Pe]
    family = MONOMIAL
    order = FIRST
  []
[]

[AuxKernels]
  [Pe]
    type = PecletNumberFunctorAux
    variable = Pe
    speed = speed
    thermal_diffusivity = 'thermal_diffusivity'
  []
[]

[Variables]
  [vel_x][]
  [vel_y][]
  [p][]
  [T][]
[]

[Kernels]
  # mass
  [mass]
    type = INSMass
    variable = p
    u = vel_x
    v = vel_y
    pressure = p
  []
  # x-momentum, space
  [x_momentum_space]
    type = INSMomentumLaplaceForm
    variable = vel_x
    u = vel_x
    v = vel_y
    pressure = p
    component = 0
  []
  # y-momentum, space
  [y_momentum_space]
    type = INSMomentumLaplaceForm
    variable = vel_y
    u = vel_x
    v = vel_y
    pressure = p
    component = 1
  []
  [temperature_space]
    type = INSTemperature
    variable = T
    u = vel_x
    v = vel_y
  []
[]

[BCs]
  [x_no_slip]
    type = DirichletBC
    variable = vel_x
    boundary = 'bottom right left'
    value = 0.0
  []
  [lid]
    type = FunctionDirichletBC
    variable = vel_x
    boundary = 'top'
    function = 'lid_function'
  []
  [y_no_slip]
    type = DirichletBC
    variable = vel_y
    boundary = 'bottom right top left'
    value = 0.0
  []
  [pressure_pin]
    type = DirichletBC
    variable = p
    boundary = 'pinned_node'
    value = 0
  []
  [T_hot]
    type = DirichletBC
    variable = T
    boundary = 'bottom'
    value = 1
  []
  [T_cold]
    type = DirichletBC
    variable = T
    boundary = 'top'
    value = 0
  []
[]

[Materials]
  [const]
    type = GenericConstantMaterial
    block = 0
    prop_names = 'rho mu k cp'
    prop_values = '${rho} ${mu} ${k} ${cp}'
  []
  [speed]
    type = ADVectorMagnitudeFunctorMaterial
    x_functor = vel_x
    y_functor = vel_y
    vector_magnitude_name = speed
  []
  [thermal_diffusivity]
    type = ThermalDiffusivityFunctorMaterial
    k = ${k}
    rho = ${rho}
    cp = ${cp}
  []
[]

[Functions]
  [lid_function]
    # We pick a function that is exactly represented in the velocity
    # space so that the Dirichlet conditions are the same regardless
    # of the mesh spacing.
    type = ParsedFunction
    expression = '4*x*(1-x)'
  []
[]

[Preconditioning]
  [SMP]
    type = SMP
    full = true
    solve_type = 'NEWTON'
  []
[]

[Executioner]
  type = Steady
  petsc_options_iname = '-pc_type -pc_asm_overlap -sub_pc_type'
  petsc_options_value = 'asm      2               lu'
  line_search = 'none'
  nl_rel_tol = 1e-12
[]

[Outputs]
  exodus = true
[]

(modules/xfem/test/tests/bimaterials/inclusion_bimaterials_2d.i)

# This test is for a matrix-inclusion composite materials
# The global stress is determined by switching the stress based on level set values
# The inclusion geometry is marked by a level set function
# The matrix and inclusion are glued together

[GlobalParams]
  order = FIRST
  family = LAGRANGE
  displacements = 'disp_x disp_y'
[]

[XFEM]
  qrule = volfrac
  output_cut_plane = true
[]

[UserObjects]
  [./level_set_cut_uo]
    type = LevelSetCutUserObject
    level_set_var = ls
  [../]
[]

[Mesh]
  type = GeneratedMesh
  dim = 2
  nx = 11
  ny = 11
  xmin = 0.0
  xmax = 5.
  ymin = 0.0
  ymax = 5.
  elem_type = QUAD4
  displacements = 'disp_x disp_y'
[]

[AuxVariables]
  [./ls]
    order = FIRST
    family = LAGRANGE
  [../]
[]

[AuxKernels]
  [./ls_function]
    type = FunctionAux
    variable = ls
    function = ls_func
  [../]
[]

[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
[]

[Functions]
  [./ls_func]
    type = ParsedFunction
    expression = 'sqrt((y-2.5)*(y-2.5) + (x-2.5)*(x-2.5)) - 1.5'
  [../]
[]

[AuxVariables]
  [./stress_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./a_strain_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./a_strain_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./a_strain_xy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./b_strain_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./b_strain_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./b_strain_xy]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]

[Kernels]
  [./TensorMechanics]
  [../]
[]

[AuxKernels]
  [./stress_xx]
    type = RankTwoAux
    rank_two_tensor = stress
    index_i = 0
    index_j = 0
    variable = stress_xx
  [../]
  [./stress_yy]
    type = RankTwoAux
    rank_two_tensor = stress
    index_i = 1
    index_j = 1
    variable = stress_yy
  [../]
  [./stress_xy]
    type = RankTwoAux
    rank_two_tensor = stress
    index_i = 0
    index_j = 1
    variable = stress_xy
  [../]
  [./a_strain_xx]
    type = RankTwoAux
    rank_two_tensor = A_total_strain
    index_i = 0
    index_j = 0
    variable = a_strain_xx
  [../]
  [./a_strain_yy]
    type = RankTwoAux
    rank_two_tensor = A_total_strain
    index_i = 1
    index_j = 1
    variable = a_strain_yy
  [../]
  [./a_strain_xy]
    type = RankTwoAux
    rank_two_tensor = A_total_strain
    index_i = 0
    index_j = 1
    variable = a_strain_xy
  [../]
  [./b_strain_xx]
    type = RankTwoAux
    rank_two_tensor = B_total_strain
    index_i = 0
    index_j = 0
    variable = b_strain_xx
  [../]
  [./b_strain_yy]
    type = RankTwoAux
    rank_two_tensor = B_total_strain
    index_i = 1
    index_j = 1
    variable = b_strain_yy
  [../]
  [./b_strain_xy]
    type = RankTwoAux
    rank_two_tensor = B_total_strain
    index_i = 0
    index_j = 1
    variable = b_strain_xy
  [../]
[]

[Constraints]
  [./dispx_constraint]
    type = XFEMSingleVariableConstraint
    use_displaced_mesh = false
    variable = disp_x
    alpha = 1e8
    geometric_cut_userobject = 'level_set_cut_uo'
  [../]
  [./dispy_constraint]
    type = XFEMSingleVariableConstraint
    use_displaced_mesh = false
    variable = disp_y
    alpha = 1e8
    geometric_cut_userobject = 'level_set_cut_uo'
  [../]
[]

[BCs]
  [./bottomx]
    type = DirichletBC
    boundary = bottom
    variable = disp_x
    value = 0.0
  [../]
  [./bottomy]
    type = DirichletBC
    boundary = bottom
    variable = disp_y
    value = 0.0
  [../]
  [./topx]
    type = FunctionDirichletBC
    boundary = top
    variable = disp_x
    function = '0.03*t'
  [../]
  [./topy]
    type = FunctionDirichletBC
    boundary = top
    variable = disp_y
    function = '0.03*t'
  [../]
[]

[Materials]
  [./elasticity_tensor_A]
    type = ComputeIsotropicElasticityTensor
    base_name = A
    youngs_modulus = 1e9
    poissons_ratio = 0.3
  [../]
  [./strain_A]
    type = ComputeSmallStrain
    base_name = A
  [../]
  [./stress_A]
    type = ComputeLinearElasticStress
    base_name = A
  [../]
  [./elasticity_tensor_B]
    type = ComputeIsotropicElasticityTensor
    base_name = B
    youngs_modulus = 1e5
    poissons_ratio = 0.3
  [../]
  [./strain_B]
    type = ComputeSmallStrain
    base_name = B
  [../]
  [./stress_B]
    type = ComputeLinearElasticStress
    base_name = B
  [../]
  [./combined_stress]
    type = LevelSetBiMaterialRankTwo
    levelset_positive_base = 'A'
    levelset_negative_base = 'B'
    level_set_var = ls
    prop_name = stress
  [../]
  [./combined_dstressdstrain]
    type = LevelSetBiMaterialRankFour
    levelset_positive_base = 'A'
    levelset_negative_base = 'B'
    level_set_var = ls
    prop_name = Jacobian_mult
  [../]
[]

[Executioner]
  type = Transient

  solve_type = 'PJFNK'
  petsc_options_iname = '-ksp_gmres_restart -pc_type -pc_hypre_type -pc_hypre_boomeramg_max_iter'
  petsc_options_value = '201                hypre    boomeramg      8'

# controls for linear iterations
  l_max_its = 20
  l_tol = 1e-3

# controls for nonlinear iterations
  nl_max_its = 15
  nl_rel_tol = 1e-14
  nl_abs_tol = 1e-7

# time control
  start_time = 0.0
  dt = 0.5
  end_time = 1.0
  num_steps = 2

  max_xfem_update = 1
[]

[Outputs]
  exodus = true
  execute_on = timestep_end
  [./console]
    type = Console
    output_linear = true
  [../]
[]

(modules/solid_mechanics/test/tests/cohesive_zone_model/czm_patch_test_base.i)

# Patch test for cohesive zone modeling to check the jacobian of cohesive kernels and materials.
# One test of this kind should be included when adding a new traction separation law.
# To preperly check the cohesive zone Jacobian, the cohesive stiffness should be low compared to the bulk stiffness.
# Quadratic convergence is always expected.

[Mesh]
  [./msh]
  type = FileMeshGenerator
  file = patch_mesh.e
  []
  [./split]
    type = BreakMeshByBlockGenerator
    input = msh
  []
  [./add_surfaces]
    type = SideSetsFromNormalsGenerator
    input = split
    normals = '0  0  1
               0  1  0
               1  0  0
               0  0 -1
               0 -1  0
              -1  0  0'
    fixed_normal = true
    new_boundary = 'z1 y1 x1 z0 y0 x0'
  []
[]

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]

[Physics]
  [SolidMechanics]
    [QuasiStatic]
      [./all]
        strain = FINITE
        add_variables = true
        use_finite_deform_jacobian = true
        use_automatic_differentiation = true
      [../]
    [../]
  [../]
[]


[Functions]
  [./stretch]
    type = PiecewiseLinear
    x = '0 0.05'
    y = '0 0.1'
  [../]
[]

[Constraints]
  [x1]
    type = EqualValueBoundaryConstraint
    variable = disp_x
    secondary = 'x1'    # boundary
    penalty = 1e6
  []
  [y1]
    type = EqualValueBoundaryConstraint
    variable = disp_y
    secondary = 'y1'    # boundary
    penalty = 1e6
  []
[]

[BCs]
  [./fix_x]
    type = DirichletBC
    preset = true
    value = 0.0
    boundary = 'x0'
    variable = disp_x
  [../]
  [./fix_y]
    type = DirichletBC
    preset = true
    value = 0.0
    boundary = 'y0'
    variable = disp_y
  [../]
  [./fix_z]
    type = DirichletBC
    preset = true
    value = 0.0
    boundary = 'z0'
    variable = disp_z
  [../]
  [./back_z]
    type = FunctionDirichletBC
    boundary = 'z1'
    variable = disp_z
    use_displaced_mesh = true
    function = stretch
  [../]

  [./rotate_x]
    type = DisplacementAboutAxis
    boundary = 'x0 y0 z0 x1 y1 z1'
    function = '90.'
    angle_units = degrees
    axis_origin = '0. 0. 0.'
    axis_direction = '0. 1. 0.'
    component = 0
    variable = disp_x
    angular_velocity = true
  [../]
  [./rotate_y]
    type = DisplacementAboutAxis
    boundary = 'x0 y0 z0 x1 y1 z1'
    function = '90.'
    angle_units = degrees
    axis_origin = '0. 0. 0.'
    axis_direction = '0. 1. 0.'
    component = 1
    variable = disp_y
    angular_velocity = true
  [../]
  [./rotate_z]
    type = DisplacementAboutAxis
    boundary = 'x0 y0 z0 x1 y1 z1'
    function = '90.'
    angle_units = degrees
    axis_origin = '0. 0. 0.'
    axis_direction = '0. 1. 0.'
    component = 2
    variable = disp_z
    angular_velocity = true
  [../]
[]

[Controls]
  [./c1]
    type = TimePeriod
    enable_objects = 'BCs::fix_x BCs::fix_y BCs::fix_z BCs::back_z Constraints::x1 Constraints::y1'
    disable_objects = 'BCs::rotate_x BCs::rotate_y BCs::rotate_z'
    start_time = '0'
    end_time = '0.05'
  [../]
[]

[Physics/SolidMechanics/CohesiveZone]
  [./czm_ik]
    boundary = 'interface'
  [../]
[]

[Materials]
  [./stress]
    type = ADComputeFiniteStrainElasticStress
  [../]
  [./elasticity_tensor]
    type = ADComputeElasticityTensor
    fill_method = symmetric9
    C_ijkl = '1.684e5 0.176e5 0.176e5 1.684e5 0.176e5 1.684e5 0.754e5 0.754e5 0.754e5'
  [../]
  [./czm_mat]
    boundary = 'interface'
  [../]
[]



[Preconditioning]
  [./smp]
    type = SMP
    full = true
  [../]
[]

[Executioner]
  type = Transient

  solve_type = 'newton'
  line_search = none

  petsc_options_iname = '-pc_type'
  petsc_options_value = 'lu'
  l_max_its = 2
  l_tol = 1e-14
  nl_max_its = 15
  nl_rel_tol = 1e-10
  nl_abs_tol = 1e-10
  start_time = 0.0
  dt = 0.025
  end_time = 0.075
[]

[Postprocessors]
  [./nonlin]
    type = NumNonlinearIterations
  [../]
[]


[Outputs]
  csv = true
  exodus = true
[]

(test/tests/actions/meta_action_multiple_tasks/circle_quads.i)

[Mesh]
  file = circle-quads.e
[]

[Functions]
  [./all_bc_fn]
    type = ParsedFunction
    expression = x*x+y*y
  [../]

  [./f_fn]
    type = ParsedFunction
    expression = -4
  [../]

  [./analytical_normal_x]
    type = ParsedFunction
    expression = x
  [../]
  [./analytical_normal_y]
    type = ParsedFunction
    expression = y
  [../]
[]

# An Action that adds an Action that satisfies multiple tasks!
[MetaNodalNormals]
[]

[Variables]
  [./u]
  [../]
[]

[Kernels]
  [./diff]
    type = Diffusion
    variable = u
  [../]
  [./ffn]
    type = BodyForce
    variable = u
    function = f_fn
  [../]
[]

[BCs]
  [./all]
    type = FunctionDirichletBC
    variable = u
    boundary = '1'
    function = 'all_bc_fn'
  [../]
[]

[Postprocessors]
  [./nx_pps]
    type = NodalL2Error
    variable = nodal_normal_x
    boundary = '1'
    function = analytical_normal_x
  [../]
  [./ny_pps]
    type = NodalL2Error
    variable = nodal_normal_y
    boundary = '1'
    function = analytical_normal_y
  [../]
[]

[Executioner]
  type = Steady

  solve_type = 'PJFNK'
  nl_rel_tol = 1e-13
[]

[Outputs]
  execute_on = 'timestep_end'
  exodus = true
[]

(modules/solid_mechanics/test/tests/tensile/small_deform6.i)

# checking for small deformation
# A single element is incrementally stretched in the in the z direction
# This causes the return direction to be along the hypersurface sigma_II = sigma_III,
# and the resulting stresses are checked to lie on the expected yield surface
#
# tensile_strength is set to 1Pa, tip_smoother = 0.5
# Lode angle = -30degrees


[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]

[Physics/SolidMechanics/QuasiStatic]
  [./all]
    add_variables = true
    incremental = true
    strain = finite
    generate_output = 'stress_xx stress_xy stress_xz stress_yy stress_yz stress_zz'
  [../]
[]

[BCs]
  [./x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'front back'
    function = '0'
  [../]
  [./y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'front back'
    function = '0'
  [../]
  [./z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'front back'
    function = '0.25E-6*z*t*t'
  [../]
[]

[AuxVariables]
  [./yield_fcn]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]

[AuxKernels]
  [./yield_fcn_auxk]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 0
    variable = yield_fcn
  [../]
[]

[Postprocessors]
  [./s_xx]
    type = PointValue
    point = '0 0 0'
    variable = stress_xx
  [../]
  [./s_xy]
    type = PointValue
    point = '0 0 0'
    variable = stress_xy
  [../]
  [./s_xz]
    type = PointValue
    point = '0 0 0'
    variable = stress_xz
  [../]
  [./s_yy]
    type = PointValue
    point = '0 0 0'
    variable = stress_yy
  [../]
  [./s_yz]
    type = PointValue
    point = '0 0 0'
    variable = stress_yz
  [../]
  [./s_zz]
    type = PointValue
    point = '0 0 0'
    variable = stress_zz
  [../]
  [./f]
    type = PointValue
    point = '0 0 0'
    variable = yield_fcn
  [../]
[]

[UserObjects]
  [./ts]
    type = SolidMechanicsHardeningConstant
    value = 1
  [../]
  [./mc]
    type = SolidMechanicsPlasticTensile
    tensile_strength = ts
    yield_function_tolerance = 1E-6
    tensile_tip_smoother = 0.5
    internal_constraint_tolerance = 1E-5
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    block = 0
    fill_method = symmetric_isotropic
    C_ijkl = '0 2.0E6'
  [../]
  [./mc]
    type = ComputeMultiPlasticityStress
    block = 0
    ep_plastic_tolerance = 1E-5
    plastic_models = mc
    debug_fspb = crash
  [../]
[]


[Executioner]
  end_time = 10
  dt = 1
  type = Transient
[]


[Outputs]
  file_base = small_deform6
  exodus = false
  [./csv]
    type = CSV
    [../]
[]

(test/tests/variables/mixed_order_variables/mixed_order_variables_test.i)

# FIRST order nodal variables on SECOND order grid
#

[Mesh]
  type = GeneratedMesh
  dim = 2
  xmin = -1
  xmax = 1
  ymin = -1
  ymax = 1
  nx = 10
  ny = 10
  elem_type = QUAD9
[]

[Functions]
  [./force_fn]
    type = ParsedFunction
    expression = -4
  [../]

  [./exact_fn]
    type = ParsedFunction
    expression = (x*x)+(y*y)
  [../]

  [./aux_fn]
    type = ParsedFunction
    expression = (1-x*x)*(1-y*y)
  [../]
[]

[Variables]
  [./u]
    order = FIRST
    family = LAGRANGE
  [../]
[]

[Kernels]
  [./diff]
    type = Diffusion
    variable = u
  [../]
  [./ffn]
    type = BodyForce
    variable = u
    function = force_fn
  [../]
[]

[BCs]
  [./all]
    type = FunctionDirichletBC
    variable = u
    preset = false
    boundary = '0 1 2 3'
    function = exact_fn
  [../]
[]


[AuxVariables]
  [./aux1]
    order = FIRST
    family = LAGRANGE
  [../]
[]

[AuxKernels]
  [./ak1]
    type = FunctionAux
    variable = aux1
    function = aux_fn
  [../]
[]

[Executioner]
  type = Steady

  solve_type = 'PJFNK'
[]

[Outputs]
  file_base = out
  exodus = true
[]

(test/tests/mesh/mesh_generation/annulus_sector_deprecated.i)

# Generates a sector of an Annular Mesh between angle=Pi/4 and angle=3Pi/4
# Radius of inside circle=1
# Radius of outside circle=5
# Solves the diffusion equation with
# u=0 on inside
# u=log(5) on outside
# u=log(r) at angle=Pi/4 and angle=3Pi/4

[Mesh]
  type = AnnularMesh
  nr = 10
  nt = 12
  rmin = 1
  rmax = 5
  tmin = 0.785398163
  tmax = 2.356194490
  growth_r = 1.3
[]

[Variables]
  [./u]
  [../]
[]

[Kernels]
  [./diff]
    type = Diffusion
    variable = u
  [../]
[]

[BCs]
  [./inner]
    type = DirichletBC
    variable = u
    value = 0.0
    boundary = rmin
  [../]
  [./outer]
    type = FunctionDirichletBC
    variable = u
    function = log(5)
    boundary = rmax
  [../]
  [./min_angle]
    type = FunctionDirichletBC
    variable = u
    function = 'log(sqrt(x*x + y*y))'
    boundary = 'tmin tmax'
  [../]
[]

[Executioner]
  type = Steady
  solve_type = PJFNK
[]

[Outputs]
  exodus = true
[]

(modules/solid_mechanics/test/tests/capped_drucker_prager/small_deform3_lode_zero.i)

# apply repeated stretches in x z directions, and smaller stretches along the y direction,
# so that sigma_I = sigma_II,
# which means that lode angle = 30deg.
# The allows yield surface in meridional plane to be mapped out

[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]

[Physics/SolidMechanics/QuasiStatic]
  [./all]
    add_variables = true
    incremental = true
    generate_output = 'stress_xx stress_xy stress_xz stress_yy stress_yz stress_zz'
  [../]
[]

[BCs]
  [./x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'front back'
    function = '1E-6*x*t'
  [../]
  [./y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'front back'
    function = '-1.7E-6*y*t'
  [../]
  [./z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'front back'
    function = '1E-6*z*t'
  [../]
[]

[AuxVariables]
  [./mc_int]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./yield_fcn]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]

[AuxKernels]
  [./mc_int_auxk]
    type = MaterialStdVectorAux
    index = 0
    property = plastic_internal_parameter
    variable = mc_int
  [../]
  [./yield_fcn_auxk]
    type = MaterialStdVectorAux
    index = 0
    property = plastic_yield_function
    variable = yield_fcn
  [../]
[]

[Postprocessors]
  [./s_xx]
    type = PointValue
    point = '0 0 0'
    variable = stress_xx
  [../]
  [./s_xy]
    type = PointValue
    point = '0 0 0'
    variable = stress_xy
  [../]
  [./s_xz]
    type = PointValue
    point = '0 0 0'
    variable = stress_xz
  [../]
  [./s_yy]
    type = PointValue
    point = '0 0 0'
    variable = stress_yy
  [../]
  [./s_yz]
    type = PointValue
    point = '0 0 0'
    variable = stress_yz
  [../]
  [./s_zz]
    type = PointValue
    point = '0 0 0'
    variable = stress_zz
  [../]
  [./internal]
    type = PointValue
    point = '0 0 0'
    variable = mc_int
  [../]
  [./f]
    type = PointValue
    point = '0 0 0'
    variable = yield_fcn
  [../]
[]

[UserObjects]
  [./ts]
    type = SolidMechanicsHardeningConstant
    value = 1E5
  [../]
  [./cs]
    type = SolidMechanicsHardeningConstant
    value = 1E5
  [../]
  [./mc_coh]
    type = SolidMechanicsHardeningConstant
    value = 10
  [../]
  [./mc_phi]
    type = SolidMechanicsHardeningConstant
    value = 35
    convert_to_radians = true
  [../]
  [./mc_psi]
    type = SolidMechanicsHardeningConstant
    value = 5
    convert_to_radians = true
  [../]
  [./dp]
    type = SolidMechanicsPlasticDruckerPrager
    mc_cohesion = mc_coh
    mc_friction_angle = mc_phi
    mc_dilation_angle = mc_psi
    mc_interpolation_scheme = lode_zero
    yield_function_tolerance = 1      # irrelevant here
    internal_constraint_tolerance = 1 # irrelevant here
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    block = 0
    fill_method = symmetric_isotropic
    C_ijkl = '0 1E7'
  [../]
  [./admissible]
    type = ComputeMultipleInelasticStress
    inelastic_models = mc
    perform_finite_strain_rotations = false
  [../]
  [./mc]
    type = CappedDruckerPragerStressUpdate
    DP_model = dp
    tensile_strength = ts
    compressive_strength = cs
    yield_function_tol = 1E-8
    tip_smoother = 8
    smoothing_tol = 1E-7
  [../]
[]


[Executioner]
  end_time = 10
  dt = 1
  type = Transient
[]


[Outputs]
  file_base = small_deform3_lode_zero
  exodus = false
  [./csv]
    type = CSV
  [../]
[]

(modules/combined/test/tests/elastic_thermal_patch/elastic_thermal_patch.i)

# Patch Test

# This test is designed to compute constant xx, yy, zz, xy, yz, and zx
#  stress on a set of irregular hexes.  The mesh is composed of one
#  block with seven elements.  The elements form a unit cube with one
#  internal element.  There is a nodeset for each exterior node.

# The cube is displaced by 1e-6 units in x, 2e-6 in y, and 3e-6 in z.
#  The faces are sheared as well (1e-6, 2e-6, and 3e-6 for xy, yz, and
#  zx).  This gives a uniform strain/stress state for all six unique
#  tensor components.

# With Young's modulus at 1e6 and Poisson's ratio at 0, the shear
#  modulus is 5e5 (G=E/2/(1+nu)).  Therefore, for the mechanical strain,
#
#  stress xx = 1e6 * 1e-6 = 1
#  stress yy = 1e6 * 2e-6 = 2
#  stress zz = 1e6 * 3e-6 = 3
#  stress xy = 2 * 5e5 * 1e-6 / 2 = 0.5
#             (2 * G   * gamma_xy / 2 = 2 * G * epsilon_xy)
#  stress yz = 2 * 5e5 * 2e-6 / 2 = 1
#  stress zx = 2 * 5e5 * 3e-6 / 2 = 1.5

# However, we must also consider the thermal strain.
# The temperature moves 100 degrees, and the coefficient of thermal
#  expansion is 1e-8.  Therefore, the thermal strain (and the displacement
#  since this is a unit cube) is 1e-6.

# Therefore, the overall effect is (at time 1, with a 50 degree delta):
#
#  stress xx = 1e6 * (1e-6-0.5e-6) = 0.5
#  stress yy = 1e6 * (2e-6-0.5e-6) = 1.5
#  stress zz = 1e6 * (3e-6-0.5e-6) = 2.5
#  stress xy = 2 * 5e5 * 1e-6 / 2 = 0.5
#             (2 * G   * gamma_xy / 2 = 2 * G * epsilon_xy)
#  stress yz = 2 * 5e5 * 2e-6 / 2 = 1
#  stress zx = 2 * 5e5 * 3e-6 / 2 = 1.5
#
# At time 2:
#
#  stress xx = 1e6 * (1e-6-1e-6) = 0
#  stress yy = 1e6 * (2e-6-1e-6) = 1
#  stress zz = 1e6 * (3e-6-1e-6) = 2
#  stress xy = 2 * 5e5 * 1e-6 / 2 = 0.5
#             (2 * G   * gamma_xy / 2 = 2 * G * epsilon_xy)
#  stress yz = 2 * 5e5 * 2e-6 / 2 = 1
#  stress zx = 2 * 5e5 * 3e-6 / 2 = 1.5

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
  temperature = temp
[]

[Mesh]
  file = elastic_thermal_patch_test.e
[]

[Functions]
  [./rampConstant1]
    type = PiecewiseLinear
    x = '0. 1. 2.'
    y = '0. 1. 1.'
    scale_factor = 1e-6
  [../]
  [./rampConstant2]
    type = PiecewiseLinear
    x = '0. 1. 2.'
    y = '0. 1. 1.'
    scale_factor = 2e-6
  [../]
  [./rampConstant3]
    type = PiecewiseLinear
    x = '0. 1. 2.'
    y = '0. 1. 1.'
    scale_factor = 3e-6
  [../]
  [./rampConstant4]
    type = PiecewiseLinear
    x = '0. 1. 2.'
    y = '0. 1. 1.'
    scale_factor = 4e-6
  [../]
  [./rampConstant6]
    type = PiecewiseLinear
    x = '0. 1. 2.'
    y = '0. 1. 1.'
    scale_factor = 6e-6
  [../]
  [./tempFunc]
    type = PiecewiseLinear
    x = '0. 2.'
    y = '117.56 217.56'
  [../]
[]

[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]

  [./temp]
    initial_condition = 117.56
  [../]
[]

[Physics/SolidMechanics/QuasiStatic/All]
  add_variables = true
  strain = FINITE
  eigenstrain_names = eigenstrain
  generate_output = 'stress_xx stress_yy stress_zz stress_xy stress_yz stress_zx'
[]

[Kernels]
  [./heat]
    type = HeatConduction
    variable = temp
  [../]
[]

[BCs]
  [./node1_x]
    type = DirichletBC
    variable = disp_x
    boundary = 1
    value = 0.0
  [../]
  [./node1_y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 1
    function = rampConstant2
  [../]
  [./node1_z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 1
    function = rampConstant3
  [../]

  [./node2_x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 2
    function = rampConstant1
  [../]
  [./node2_y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 2
    function = rampConstant2
  [../]
  [./node2_z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 2
    function = rampConstant6
  [../]

  [./node3_x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 3
    function = rampConstant1
  [../]
  [./node3_y]
    type = DirichletBC
    variable = disp_y
    boundary = 3
    value = 0.0
  [../]
  [./node3_z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 3
    function = rampConstant3
  [../]

  [./node4_x]
    type = DirichletBC
    variable = disp_x
    boundary = 4
    value = 0.0
  [../]
  [./node4_y]
    type = DirichletBC
    variable = disp_y
    boundary = 4
    value = 0.0
  [../]
  [./node4_z]
    type = DirichletBC
    variable = disp_z
    boundary = 4
    value = 0.0
  [../]

  [./node5_x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 5
    function = rampConstant1
  [../]
  [./node5_y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 5
    function = rampConstant4
  [../]
  [./node5_z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 5
    function = rampConstant3
  [../]

  [./node6_x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 6
    function = rampConstant2
  [../]
  [./node6_y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 6
    function = rampConstant4
  [../]
  [./node6_z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 6
    function = rampConstant6
  [../]

  [./node7_x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 7
    function = rampConstant2
  [../]
  [./node7_y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 7
    function = rampConstant2
  [../]
  [./node7_z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 7
    function = rampConstant3
  [../]

  [./node8_x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 8
    function = rampConstant1
  [../]
  [./node8_y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 8
    function = rampConstant2
  [../]
  [./node8_z]
    type = DirichletBC
    variable = disp_z
    boundary = 8
    value = 0.0
  [../]

  [./temp]
    type = FunctionDirichletBC
    variable = temp
    boundary = '10 12'
    function = tempFunc
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeIsotropicElasticityTensor
    bulk_modulus = 0.333333333333333e6
    shear_modulus = 0.5e6
  [../]
  [./thermal_strain]
    type = ComputeThermalExpansionEigenstrain
    stress_free_temperature = 117.56
    thermal_expansion_coeff = 1e-8
    eigenstrain_name = eigenstrain
  [../]
  [./stress]
    type = ComputeFiniteStrainElasticStress
  [../]

  [./heat]
    type = HeatConductionMaterial
    specific_heat = 1.0
    thermal_conductivity = 1.0
  [../]

  [./density]
    type = Density
    density = 1.0
  [../]
[]

[Executioner]
  type = Transient
  solve_type = 'PJFNK'

  nl_rel_tol = 1e-12

  l_max_its = 20

  start_time = 0.0
  dt = 1.0
  num_steps = 2
  end_time = 2.0
[]

[Outputs]
  exodus = true
[]

(modules/navier_stokes/test/tests/finite_element/ins/RZ_cone/rz_cone_by_parts_steady_stabilized.i)

# This input file tests several different things:
# .) The axisymmetric (RZ) form of the governing equations.
# .) An open boundary.
# .) Not integrating the pressure by parts, thereby requiring a pressure pin.
# .) Natural boundary condition at the outlet.
[GlobalParams]
  integrate_p_by_parts = true
  laplace = true
  gravity = '0 0 0'
  supg = true
  pspg = true
  order = FIRST
[]

[Mesh]
  file = '2d_cone.msh'
[]

[Problem]
  coord_type = RZ
[]

[Preconditioning]
  [./SMP_PJFNK]
    type = SMP
    full = true
    solve_type = Newton
  [../]
[]

[Executioner]
  type = Steady

  petsc_options_iname = '-pc_type -sub_pc_type -sub_pc_factor_levels'
  petsc_options_value = 'bjacobi  ilu          4'

  nl_rel_tol = 1e-12
  nl_max_its = 6
[]

[Outputs]
  console = true
  [./out]
    type = Exodus
  [../]
[]

[Variables]
  [./vel_x]
    # Velocity in radial (r) direction
  [../]
  [./vel_y]
    # Velocity in axial (z) direction
  [../]
  [./p]
  [../]
[]

[BCs]
  [./u_in]
    type = DirichletBC
    boundary = bottom
    variable = vel_x
    value = 0
  [../]
  [./v_in]
    type = FunctionDirichletBC
    boundary = bottom
    variable = vel_y
    function = 'inlet_func'
  [../]
  [./u_axis_and_walls]
    type = DirichletBC
    boundary = 'left right'
    variable = vel_x
    value = 0
  [../]
  [./v_no_slip]
    type = DirichletBC
    boundary = 'right'
    variable = vel_y
    value = 0
  [../]
[]


[Kernels]
  [./mass]
    type = INSMassRZ
    variable = p
    u = vel_x
    v = vel_y
    pressure = p
  [../]
  [./x_momentum_space]
    type = INSMomentumLaplaceFormRZ
    variable = vel_x
    u = vel_x
    v = vel_y
    pressure = p
    component = 0
  [../]
  [./y_momentum_space]
    type = INSMomentumLaplaceFormRZ
    variable = vel_y
    u = vel_x
    v = vel_y
    pressure = p
    component = 1
  [../]
[]

[Materials]
  [./const]
    type = GenericConstantMaterial
    block = 'volume'
    prop_names = 'rho mu'
    prop_values = '1  1'
  [../]
[]

[Functions]
  [./inlet_func]
    type = ParsedFunction
    expression = '-4 * x^2 + 1'
  [../]
[]

[Postprocessors]
  [./flow_in]
    type = VolumetricFlowRate
    vel_x = vel_x
    vel_y = vel_y
    boundary = 'bottom'
    execute_on = 'timestep_end'
  [../]
  [./flow_out]
    type = VolumetricFlowRate
    vel_x = vel_x
    vel_y = vel_y
    boundary = 'top'
    execute_on = 'timestep_end'
  [../]
[]

(modules/solid_mechanics/test/tests/shell/static/tapered.i)

# Test for the stress and strain output for tapered shell elements.
# A tapered beam is represented with shell elements in XY plane
# having Young's Modulus of 210000 and poissons ratio of 0.3.
# The displacement in X direction is constrained in the left end and the
# displacement of center node of the left end is constrained in Y direction.
# A uniform displacement is applied at the right end.
# The problem is symmetric about Y-axis and the results are symmetric.

[Mesh]
  [input]
    type = FileMeshGenerator
    file = taperedmesh.e
  []
[]

[Variables]
  [disp_x]
  []
  [disp_y]
  []
  [disp_z]
  []
  [rot_x]
  []
  [rot_y]
  []
[]

[AuxVariables]
  [stress_00]
    order = CONSTANT
    family = MONOMIAL
  []
  [stress_11]
    order = CONSTANT
    family = MONOMIAL
  []
  [stress_22]
    order = CONSTANT
    family = MONOMIAL
  []
  [stress_01]
    order = CONSTANT
    family = MONOMIAL
  []
  [stress_10]
    order = CONSTANT
    family = MONOMIAL
  []
  [stress_02]
    order = CONSTANT
    family = MONOMIAL
  []
  [stress_20]
    order = CONSTANT
    family = MONOMIAL
  []
  [stress_12]
    order = CONSTANT
    family = MONOMIAL
  []
  [stress_21]
    order = CONSTANT
    family = MONOMIAL
  []
  [strain_00]
    order = CONSTANT
    family = MONOMIAL
  []
  [strain_11]
    order = CONSTANT
    family = MONOMIAL
  []
  [strain_22]
    order = CONSTANT
    family = MONOMIAL
  []
  [strain_01]
    order = CONSTANT
    family = MONOMIAL
  []
  [strain_10]
    order = CONSTANT
    family = MONOMIAL
  []
  [strain_02]
    order = CONSTANT
    family = MONOMIAL
  []
  [strain_20]
    order = CONSTANT
    family = MONOMIAL
  []
  [strain_12]
    order = CONSTANT
    family = MONOMIAL
  []
  [strain_21]
    order = CONSTANT
    family = MONOMIAL
  []
[]

[Kernels]
  [solid_disp_x]
    type = ADStressDivergenceShell
    block = 1
    component = 0
    variable = disp_x
    through_thickness_order = SECOND
  []
  [solid_disp_y]
    type = ADStressDivergenceShell
    block = 1
    component = 1
    variable = disp_y
    through_thickness_order = SECOND
  []
  [solid_disp_z]
    type = ADStressDivergenceShell
    block = 1
    component = 2
    variable = disp_z
    through_thickness_order = SECOND
  []
  [solid_rot_x]
    type = ADStressDivergenceShell
    block = 1
    component = 3
    variable = rot_x
    through_thickness_order = SECOND
  []
  [solid_rot_y]
    type = ADStressDivergenceShell
    block = 1
    component = 4
    variable = rot_y
    through_thickness_order = SECOND
  []
[]

[AuxKernels]
  [stress_00]
    type = RankTwoAux
    variable = stress_00
    rank_two_tensor = global_stress_t_points_0
    index_i = 0
    index_j = 0
    execute_on = TIMESTEP_END
  []
  [strain_00]
    type = RankTwoAux
    variable = strain_00
    rank_two_tensor = total_global_strain_t_points_0
    index_i = 0
    index_j = 0
    execute_on = TIMESTEP_END
  []
  [stress_11]
    type = RankTwoAux
    variable = stress_11
    rank_two_tensor = global_stress_t_points_0
    index_i = 1
    index_j = 1
    execute_on = TIMESTEP_END
  []
  [strain_11]
    type = RankTwoAux
    variable = strain_11
    rank_two_tensor = total_global_strain_t_points_0
    index_i = 1
    index_j = 1
    execute_on = TIMESTEP_END
  []
  [stress_22]
    type = RankTwoAux
    variable = stress_22
    rank_two_tensor = global_stress_t_points_0
    index_i = 2
    index_j = 2
    execute_on = TIMESTEP_END
  []
  [strain_22]
    type = RankTwoAux
    variable = strain_22
    rank_two_tensor = total_global_strain_t_points_0
    index_i = 2
    index_j = 2
    execute_on = TIMESTEP_END
  []
  [stress_01]
    type = RankTwoAux
    variable = stress_01
    rank_two_tensor = global_stress_t_points_0
    index_i = 0
    index_j = 1
    execute_on = TIMESTEP_END
  []
  [strain_01]
    type = RankTwoAux
    variable = strain_01
    rank_two_tensor = total_global_strain_t_points_0
    index_i = 0
    index_j = 1
    execute_on = TIMESTEP_END
  []
  [stress_10]
    type = RankTwoAux
    variable = stress_10
    rank_two_tensor = global_stress_t_points_0
    index_i = 1
    index_j = 0
    execute_on = TIMESTEP_END
  []
  [strain_10]
    type = RankTwoAux
    variable = strain_10
    rank_two_tensor = total_global_strain_t_points_0
    index_i = 1
    index_j = 0
    execute_on = TIMESTEP_END
  []
  [stress_02]
    type = RankTwoAux
    variable = stress_02
    rank_two_tensor = global_stress_t_points_0
    index_i = 0
    index_j = 2
    execute_on = TIMESTEP_END
  []
  [strain_02]
    type = RankTwoAux
    variable = strain_02
    rank_two_tensor = total_global_strain_t_points_0
    index_i = 0
    index_j = 2
    execute_on = TIMESTEP_END
  []
  [stress_20]
    type = RankTwoAux
    variable = stress_20
    rank_two_tensor = global_stress_t_points_0
    index_i = 2
    index_j = 0
    execute_on = TIMESTEP_END
  []
  [strain_20]
    type = RankTwoAux
    variable = strain_20
    rank_two_tensor = total_global_strain_t_points_0
    index_i = 2
    index_j = 0
    execute_on = TIMESTEP_END
  []
  [stress_12]
    type = RankTwoAux
    variable = stress_12
    rank_two_tensor = global_stress_t_points_0
    index_i = 1
    index_j = 2
    execute_on = TIMESTEP_END
  []
  [strain_12]
    type = RankTwoAux
    variable = strain_12
    rank_two_tensor = total_global_strain_t_points_0
    index_i = 1
    index_j = 2
    execute_on = TIMESTEP_END
  []
  [stress_21]
    type = RankTwoAux
    variable = stress_21
    rank_two_tensor = global_stress_t_points_0
    index_i = 2
    index_j = 1
    execute_on = TIMESTEP_END
  []
  [strain_21]
    type = RankTwoAux
    variable = strain_21
    rank_two_tensor = total_global_strain_t_points_0
    index_i = 2
    index_j = 1
    execute_on = TIMESTEP_END
  []
[]

[BCs]
  [BC_0]
    type = ADDirichletBC
    variable = disp_x
    value = 0.0
    boundary = '2' #left
  []
  [BC_1]
    type = ADDirichletBC
    variable = disp_y
    value = 0.0
    boundary = 10 #left_side_mid
  []
  [BC_2]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = '3'
    function = displacement
  []
[]

[Functions]
  [displacement]
    type = PiecewiseLinear
    x = '0.0 1.0'
    y = '0.0 0.2'
  []
[]

[Materials]
  [stress]
    type = ADComputeShellStress
    block = 1
    through_thickness_order = SECOND
  []
  [elasticity]
    type = ADComputeIsotropicElasticityTensorShell
    youngs_modulus = 210000
    poissons_ratio = 0.3
    block = 1
    through_thickness_order = SECOND
  []
  [strain]
    type = ADComputeIncrementalShellStrain
    block = 1
    displacements = 'disp_x disp_y disp_z'
    rotations = 'rot_x rot_y'
    thickness = 0.1
    through_thickness_order = SECOND
  []
[]

[Executioner]
  type = Transient
  solve_type = NEWTON
  automatic_scaling = true

  line_search = 'none'
  nl_rel_tol = 1e-16
  nl_abs_tol = 1e-16

  dt = 1
  dtmin = 1
  end_time = 1
[]

[Outputs]
    exodus = true
[]

(modules/solid_mechanics/test/tests/crystal_plasticity/stress_update_material_based/use_substep_dt.i)

[GlobalParams]
  displacements = 'ux uy uz'
[]

[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 4
  ny = 4
  nz = 4
  elem_type = HEX8
  displacements = 'ux uy uz'
[]

[AuxVariables]
  [pk2]
    order = CONSTANT
    family = MONOMIAL
  []
  [fp_zz]
    order = CONSTANT
    family = MONOMIAL
  []
  [rotout]
    order = CONSTANT
    family = MONOMIAL
  []
  [e_zz]
    order = CONSTANT
    family = MONOMIAL
  []
  [gss]
    order = CONSTANT
    family = MONOMIAL
  []
  [slip_increment]
    order = CONSTANT
    family = MONOMIAL
  []
[]

[Physics/SolidMechanics/QuasiStatic/all]
  strain = FINITE
  add_variables = true
  generate_output = stress_zz
[]

[AuxKernels]
  [stress_zz]
    type = RankTwoAux
    variable = stress_zz
    rank_two_tensor = stress
    index_j = 2
    index_i = 2
    execute_on = timestep_end
  []
  [pk2]
    type = RankTwoAux
    variable = pk2
    rank_two_tensor = second_piola_kirchhoff_stress
    index_j = 2
    index_i = 2
    execute_on = timestep_end
  []
  [fp_zz]
    type = RankTwoAux
    variable = fp_zz
    rank_two_tensor = plastic_deformation_gradient
    index_j = 2
    index_i = 2
    execute_on = timestep_end
  []
  [e_zz]
    type = RankTwoAux
    variable = e_zz
    rank_two_tensor = total_lagrangian_strain
    index_j = 2
    index_i = 2
    execute_on = timestep_end
  []
  [gss]
    type = MaterialStdVectorAux
    variable = gss
    property = slip_resistance
    index = 0
    execute_on = timestep_end
  []
  [slip_inc]
    type = MaterialStdVectorAux
    variable = slip_increment
    property = slip_increment
    index = 0
    execute_on = timestep_end
  []
[]

[BCs]
  [symmy]
    type = DirichletBC
    variable = uy
    boundary = bottom
    value = 0
  []
  [symmx]
    type = DirichletBC
    variable = ux
    boundary = left
    value = 0
  []
  [symmz]
    type = DirichletBC
    variable = uz
    boundary = back
    value = 0
  []
  [pushy]
    type = FunctionDirichletBC
    variable = uy
    boundary = top
    function = '-0.1*t'
  []
  [pullz]
    type = FunctionDirichletBC
    variable = uz
    boundary = front
    function = '0.1*t'
  []
[]

[Materials]
  [elasticity_tensor]
    type = ComputeElasticityTensorCP
    C_ijkl = '1.684e5 1.214e5 1.214e5 1.684e5 1.214e5 1.684e5 0.754e5 0.754e5 0.754e5'
    fill_method = symmetric9
  []
  [stress]
    type = ComputeMultipleCrystalPlasticityStress
    crystal_plasticity_models = 'trial_xtalpl'
    tan_mod_type = exact
    maximum_substep_iteration = 1
  []
  [trial_xtalpl]
    type = CrystalPlasticityKalidindiUpdate
    number_slip_systems = 12
    slip_sys_file_name = input_slip_sys.txt
  []
[]

[Postprocessors]
  [stress_zz]
    type = ElementAverageValue
    variable = stress_zz
  []
  [pk2]
    type = ElementAverageValue
    variable = pk2
  []
  [fp_zz]
    type = ElementAverageValue
    variable = fp_zz
  []
  [e_zz]
    type = ElementAverageValue
    variable = e_zz
  []
  [gss]
    type = ElementAverageValue
    variable = gss
  []
  [slip_increment]
    type = ElementAverageValue
    variable = slip_increment
  []
  [uy_avg_top]
    type = SideAverageValue
    variable = uy
    boundary = top
  []
  [uz_avg_front]
    type = SideAverageValue
    variable = uz
    boundary = front
  []
[]

[Preconditioning]
  [smp]
    type = SMP
    full = true
  []
[]

[Executioner]
  type = Transient
  dt = 0.05
  solve_type = 'NEWTON'

  petsc_options = '-snes_ksp_ew'
  petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
  petsc_options_value = ' lu       superlu_dist'

  line_search = 'none'
  nl_abs_tol = 1e-10
  nl_rel_step_tol = 1e-10
  dtmax = 10.0
  nl_rel_tol = 1e-10
  end_time = 1.0
  num_steps = 5
  dtmin = 0.001
  nl_abs_step_tol = 1e-10
[]

[Outputs]
  csv = true
[]

(modules/navier_stokes/test/tests/finite_element/ins/RZ_cone/rz_cone_by_parts_steady.i)

# This input file tests several different things:
# .) The axisymmetric (RZ) form of the governing equations.
# .) An open boundary.
# .) Not integrating the pressure by parts, thereby requiring a pressure pin.
# .) Natural boundary condition at the outlet.
[GlobalParams]
  integrate_p_by_parts = true
  laplace = true
  gravity = '0 0 0'
[]

[Mesh]
  file = '2d_cone.msh'
[]

[Problem]
  coord_type = RZ
[]

[Preconditioning]
  [./SMP_PJFNK]
    type = SMP
    full = true
    solve_type = Newton
  [../]
[]

[Executioner]
  type = Steady

petsc_options_iname = '-pc_type -sub_pc_type -sub_pc_factor_levels'
  petsc_options_value = 'bjacobi  ilu          4'

  nl_rel_tol = 1e-12
  nl_max_its = 6
[]

[Outputs]
  console = true
  [./out]
    type = Exodus
  [../]
[]

[Variables]
  [./vel_x]
    # Velocity in radial (r) direction
    family = LAGRANGE
    order = SECOND
  [../]
  [./vel_y]
    # Velocity in axial (z) direction
    family = LAGRANGE
    order = SECOND
  [../]
  [./p]
    family = LAGRANGE
    order = FIRST
  [../]
[]

[BCs]
  [./u_in]
    type = DirichletBC
    boundary = bottom
    variable = vel_x
    value = 0
  [../]
  [./v_in]
    type = FunctionDirichletBC
    boundary = bottom
    variable = vel_y
    function = 'inlet_func'
  [../]
  [./u_axis_and_walls]
    type = DirichletBC
    boundary = 'left right'
    variable = vel_x
    value = 0
  [../]
  [./v_no_slip]
    type = DirichletBC
    boundary = 'right'
    variable = vel_y
    value = 0
  [../]
[]


[Kernels]
  [./mass]
    type = INSMassRZ
    variable = p
    u = vel_x
    v = vel_y
    pressure = p
  [../]
  [./x_momentum_space]
    type = INSMomentumLaplaceFormRZ
    variable = vel_x
    u = vel_x
    v = vel_y
    pressure = p
    component = 0
  [../]
  [./y_momentum_space]
    type = INSMomentumLaplaceFormRZ
    variable = vel_y
    u = vel_x
    v = vel_y
    pressure = p
    component = 1
  [../]
[]

[Materials]
  [./const]
    type = GenericConstantMaterial
    block = 'volume'
    prop_names = 'rho mu'
    prop_values = '1  1'
  [../]
[]

[Functions]
  [./inlet_func]
    type = ParsedFunction
    expression = '-4 * x^2 + 1'
  [../]
[]

[Postprocessors]
  [./flow_in]
    type = VolumetricFlowRate
    vel_x = vel_x
    vel_y = vel_y
    boundary = 'bottom'
    execute_on = 'timestep_end'
  [../]
  [./flow_out]
    type = VolumetricFlowRate
    vel_x = vel_x
    vel_y = vel_y
    boundary = 'top'
    execute_on = 'timestep_end'
  [../]
[]

(modules/contact/test/tests/mortar_aux_kernels/pressure-aux-frictionless.i)

[GlobalParams]
  displacements = 'disp_x disp_y'
  volumetric_locking_correction = true
[]

[Mesh]
  [left_block]
    type = GeneratedMeshGenerator
    dim = 2
    xmin = -0.35
    xmax = -0.05
    ymin = -1
    ymax = 0
    nx = 1
    ny = 3
    elem_type = QUAD4
  []
  [left_block_sidesets]
    type = RenameBoundaryGenerator
    input = left_block
    old_boundary = '0 1 2 3'
    new_boundary = '10 11 12 13'
  []
  [left_block_sideset_names]
    type = RenameBoundaryGenerator
    input = left_block_sidesets
    old_boundary = '10 11 12 13'
    new_boundary = 'l_bottom l_right l_top l_left'
  []
  [left_block_id]
    type = SubdomainIDGenerator
    input = left_block_sideset_names
    subdomain_id = 1
  []
  [right_block]
    type = GeneratedMeshGenerator
    dim = 2
    xmin = 0
    xmax = 0.3
    ymin = -1
    ymax = 0
    nx = 1
    ny = 2
    elem_type = QUAD4
  []
  [right_block_sidesets]
    type = RenameBoundaryGenerator
    input = right_block
    old_boundary = '0 1 2 3'
    new_boundary = '20 21 22 23'
  []
  [right_block_sideset_names]
    type = RenameBoundaryGenerator
    input = right_block_sidesets
    old_boundary = '20 21 22 23'
    new_boundary = 'r_bottom r_right r_top r_left'
  []
  [right_block_id]
    type = SubdomainIDGenerator
    input = right_block_sideset_names
    subdomain_id = 2
  []

  [combined_mesh]
    type = MeshCollectionGenerator
    inputs = 'left_block_id right_block_id'
  []

  [left_lower]
    type = LowerDBlockFromSidesetGenerator
    input = combined_mesh
    sidesets = '11'
    new_block_id = '10001'
    new_block_name = 'secondary_lower'
  []
  [right_lower]
    type = LowerDBlockFromSidesetGenerator
    input = left_lower
    sidesets = '23'
    new_block_id = '10000'
    new_block_name = 'primary_lower'
  []

  uniform_refine = 1
[]

[Variables]
  [lm_x]
    block = 'secondary_lower'
    use_dual = true
  []
  [lm_y]
    block = 'secondary_lower'
    use_dual = true
  []
[]

[AuxVariables]
  [normal_lm]
    family = LAGRANGE
    order = FIRST
  []
[]

[AuxKernels]
  [normal_lm]
    type = MortarPressureComponentAux
    variable = normal_lm
    primary_boundary = '23'
    secondary_boundary = '11'
    lm_var_x = lm_x
    lm_var_y = lm_y
    component = 'NORMAL'
    boundary = '11'
  []
[]

[Physics/SolidMechanics/QuasiStatic]
  [all]
    strain = FINITE
    incremental = true
    add_variables = true
    block = '1 2'
  []
[]

[Functions]
  [horizontal_movement]
    type = ParsedFunction
    expression = '0.1 * t'
  []
  [vertical_movement]
    type = ConstantFunction
    value = '0.0'
  []
[]

[BCs]
  [push_left_x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 13
    function = horizontal_movement
  []
  [fix_right_x]
    type = DirichletBC
    variable = disp_x
    boundary = 21
    value = 0.0
  []
  [fix_right_y]
    type = DirichletBC
    variable = disp_y
    boundary = 21
    value = 0.0
  []
  [push_left_y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 13
    function = vertical_movement
  []
[]

[Materials]
  [elasticity_tensor_left]
    type = ComputeIsotropicElasticityTensor
    block = 1
    youngs_modulus = 1.0e6
    poissons_ratio = 0.3
  []
  [stress_left]
    type = ComputeFiniteStrainElasticStress
    block = 1
  []

  [elasticity_tensor_right]
    type = ComputeIsotropicElasticityTensor
    block = 2
    youngs_modulus = 1.0e6
    poissons_ratio = 0.3
  []
  [stress_right]
    type = ComputeFiniteStrainElasticStress
    block = 2
  []
[]

[Constraints]
  [weighted_gap_lm]
    type = ComputeWeightedGapCartesianLMMechanicalContact
    primary_boundary = '23'
    secondary_boundary = '11'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    lm_x = lm_x
    lm_y = lm_y
    variable = lm_x # This can be anything really
    disp_x = disp_x
    disp_y = disp_y
    use_displaced_mesh = true
    correct_edge_dropping = true
    interpolate_normals = false
  []
  [normal_x]
    type = CartesianMortarMechanicalContact
    primary_boundary = '23'
    secondary_boundary = '11'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    variable = lm_x
    secondary_variable = disp_x
    component = x
    use_displaced_mesh = true
    compute_lm_residuals = false
    correct_edge_dropping = true
  []
  [normal_y]
    type = CartesianMortarMechanicalContact
    primary_boundary = '23'
    secondary_boundary = '11'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    variable = lm_y
    secondary_variable = disp_y
    component = y
    use_displaced_mesh = true
    compute_lm_residuals = false
    correct_edge_dropping = true
  []
[]

[Preconditioning]
  [smp]
    type = SMP
    full = true
  []
[]

[Executioner]
  type = Transient
  solve_type = 'NEWTON'

  petsc_options_iname = '-pc_type -pc_factor_mat_solver_package -mat_mffd_err -pc_factor_shift_type '
                        '-pc_factor_shift_amount'
  petsc_options_value = 'lu superlu_dist 1e-5          NONZERO               1e-10'

  line_search = none

  dt = 0.1
  dtmin = 0.1
  end_time = 1.0

  l_max_its = 100

  nl_max_its = 20
  nl_rel_tol = 1e-6
  snesmf_reuse_base = false
[]

[Outputs]
  exodus = false
  csv = true
  execute_on = 'FINAL'
[]

[VectorPostprocessors]
  [normal_lm]
    type = NodalValueSampler
    block = 'secondary_lower'
    variable = normal_lm
    sort_by = 'id'
  []
[]

(modules/porous_flow/test/tests/dirackernels/injection_with_plasticity.i)

# Example: Injection into a uniform aquifer 10 x 10 x 5 km
# Drucker-Prager deformation
# Darcy flow
gravity = -9.81
solid_density = 2350
fluid_density = 1000
porosity0 = 0.1
[Mesh]
  type = GeneratedMesh
  dim = 3
  xmin = 0
  xmax = 1e4
  ymin = 0
  ymax = 1e4
  zmax = 0
  zmin = -5e3
  nx = 2
  ny = 2
  nz = 2
[]

[GlobalParams]
  PorousFlowDictator = dictator
  gravity = '0 0 ${gravity}'
  displacements = 'disp_x disp_y disp_z'
  strain_at_nearest_qp = true
[]

[FluidProperties]
  [simple_fluid]
    type = SimpleFluidProperties
    thermal_expansion = 0 # Not doing a thermal simulation
    bulk_modulus = 2E9
    density0 = ${fluid_density}
    viscosity = 5E-4
  []
[]

[PorousFlowFullySaturated]
  coupling_type = HydroMechanical
  porepressure = pp
  dictator_name = dictator
  fp = simple_fluid
  add_darcy_aux = false
  add_stress_aux = false
  stabilization = none
[]

[Variables]
  [disp_x]
  []
  [disp_y]
  []
  [disp_z]
  []
  [pp]
    scaling = 1E6
    [InitialCondition]
      type = FunctionIC
      function = ini_pp
    []
  []
[]

[Functions]
  [ini_stress]
    type = ParsedFunction
    expression = '-${gravity} * z * (${solid_density} - ${fluid_density}) * (1.0 - ${porosity0})'  # initial effective stress that should result from weight force
  []

  [ini_pp]
    type = ParsedFunction
    expression = '${gravity} * z * ${fluid_density} + 1E5'
  []
[]

[BCs]
  [p_top]
    type = FunctionDirichletBC
    variable = pp
    boundary = front
    function = ini_pp
  []

  [x_roller]
    type = DirichletBC
    variable = disp_x
    boundary = 'left right'
    value = 0
  []
  [y_roller]
    type = DirichletBC
    variable = disp_y
    boundary = 'top bottom'
    value = 0
  []
  [z_confined]
    type = DirichletBC
    variable = disp_z
    boundary = 'back front'
    value = 0
  []
[]

[UserObjects]
  [pls_total_outflow_mass]
    type = PorousFlowSumQuantity
  []

  # Cohesion
  [mc_coh]
    type = TensorMechanicsHardeningConstant
    value = 6.0E6
  []

  # Friction angle
  [mc_phi]
    type = TensorMechanicsHardeningConstant
    value = 35.0
    convert_to_radians = true
  []

  # Dilation angle
  [mc_psi]
    type = TensorMechanicsHardeningConstant
    value = 2
    convert_to_radians = true
  []

  # Drucker-Prager objects
  [dp]
    type = TensorMechanicsPlasticDruckerPragerHyperbolic
    mc_cohesion = mc_coh
    mc_friction_angle = mc_phi
    mc_dilation_angle = mc_psi
    yield_function_tolerance = 1E-3
    internal_constraint_tolerance = 1E-6
  []

  # Tensile strength
  [tens]
    type = TensorMechanicsHardeningConstant
    value = 3.0E6
  []

  # Compressive strength (cap on yield envelope)
  [compr_all]
    type = TensorMechanicsHardeningConstant
    value = 1E10
  []
[]

[Materials]
  [strain]
    type = ComputeIncrementalStrain
    eigenstrain_names = eigenstrain_all
  []

  [eigenstrain_all]
    type = ComputeEigenstrainFromInitialStress
    initial_stress = 'ini_stress 0 0  0 ini_stress 0  0 0 ini_stress'
    eigenstrain_name = eigenstrain_all
  []

  [elasticity_tensor]
    type = ComputeIsotropicElasticityTensor
    bulk_modulus = 3.3333E9
    shear_modulus = 2.5E9
  []

  [dp_mat]
    type = CappedDruckerPragerStressUpdate
    DP_model = dp
    tensile_strength = tens
    compressive_strength = compr_all
    smoothing_tol = 1E5
    yield_function_tol = 1E-3
    tip_smoother = 0
  []

  [stress]
    type = ComputeMultipleInelasticStress
    inelastic_models = dp_mat
  []

  # Permeability
  [permeability]
    type = PorousFlowPermeabilityConst
    permeability = '1E-13 0 0  0 1E-13 0  0 0 1E-13'
  []

  # Porosity
  [porosity]
    type = PorousFlowPorosity
    porosity_zero = ${porosity0}
    biot_coefficient = 1.0
    solid_bulk = 1.0 # Required but irrelevant when biot_coefficient is unity
    mechanical = true
    fluid = true
  []

  # Density of saturated rock
  [density]
    type = PorousFlowTotalGravitationalDensityFullySaturatedFromPorosity
    rho_s = ${solid_density}
  []
[]

[DiracKernels]
  [pls]
    type = PorousFlowPolyLineSink
    variable = pp
    SumQuantityUO = pls_total_outflow_mass
    point_file = two_nodes.bh
    function_of = pressure
    fluid_phase = 0
    p_or_t_vals = '0 1E7'
    fluxes = '-1.59 -1.59'
  []
[]

[Preconditioning]
  [usual]
    type = SMP
    full = true
  []
[]

[Executioner]
  solve_type = Newton
  type = Transient
  dt = 1E6
  end_time = 1E6
  nl_rel_tol = 1E-7
[]

[Outputs]
  exodus = true
[]

(modules/solid_mechanics/test/tests/umat/temperature/elastic_dtemperature.i)

# Testing the UMAT Interface - linear elastic model using the large strain formulation.

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]

[Mesh]
  [gen]
    type = GeneratedMeshGenerator
    dim = 3
    xmin = -0.5
    xmax = 0.5
    ymin = -0.5
    ymax = 0.5
    zmin = -0.5
    zmax = 0.5
  []
[]

[Functions]
  [top_pull]
    type = ParsedFunction
    expression = t/100
  []
  # Forced evolution of temperature
  [temperature_load]
    type = ParsedFunction
    expression = '273 + 10*t'
  []
  # Factor to multiply the elasticity tensor in MOOSE
  [elasticity_prefactor]
    type = ParsedFunction
    expression = '273/(273 + 10*t + 10)'
  []
[]

[AuxVariables]
  [temperature]
  []
[]

[AuxKernels]
  [temperature_function]
    type = FunctionAux
    variable = temperature
    function = temperature_load
  []
[]

[Physics/SolidMechanics/QuasiStatic]
  [all]
    add_variables = true
    strain = FINITE
    generate_output = 'stress_yy'
  []
[]

[ICs]
  [ic_temperature]
    type = ConstantIC
    value = 273
    variable = temperature
  []
[]

[BCs]
  [y_pull_function]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = top
    function = top_pull
  []
  [x_bot]
    type = DirichletBC
    variable = disp_x
    boundary = left
    value = 0.0
  []
  [y_bot]
    type = DirichletBC
    variable = disp_y
    boundary = bottom
    value = 0.0
  []
  [z_bot]
    type = DirichletBC
    variable = disp_z
    boundary = front
    value = 0.0
  []
[]

[Materials]
  # This input file is used to compare the MOOSE and UMAT models, activating
  # specific ones with cli variable_names.

  # 1. Active for umat calculation
  [umat]
    type = AbaqusUMATStress
    constant_properties = '1000 0.3'
    plugin = '../../../plugins/elastic_dtemperature'
    num_state_vars = 0
    temperature = temperature
    use_one_based_indexing = true
  []

  #  2. Active for reference MOOSE computations
  [elastic]
    type = ComputeIsotropicElasticityTensor
    youngs_modulus = 1000
    poissons_ratio = 0.3
    elasticity_tensor_prefactor = 'elasticity_prefactor'
  []
  [stress]
    type = ComputeFiniteStrainElasticStress
  []
[]

[Executioner]
  type = Transient
  solve_type = 'PJFNK'

  petsc_options = '-snes_ksp_ew'
  petsc_options_iname = '-ksp_gmres_restart'
  petsc_options_value = '101'

  line_search = 'none'

  l_max_its = 100
  nl_max_its = 100
  nl_rel_tol = 1e-12
  nl_abs_tol = 1e-10
  l_tol = 1e-9
  start_time = 0.0
  num_steps = 30
  dt = 1.0
[]

[Preconditioning]
  [smp]
    type = SMP
    full = true
  []
[]

[Outputs]
  exodus = true
[]

(modules/solid_mechanics/test/tests/lagrangian/cartesian/total/planar/weak_plane_stress/pull_2D.i)

[GlobalParams]
  displacements = 'disp_x disp_y'
  large_kinematics = true
  stabilize_strain = true
[]

[Mesh]
  [gmg]
    type = GeneratedMeshGenerator
    dim = 2
    nx = 1
    ny = 1
  []
  use_displaced_mesh = false
[]

[Variables]
  [disp_x]
  []
  [disp_y]
  []
  [strain_zz]
  []
[]

[Kernels]
  [sdx]
    type = TotalLagrangianStressDivergence
    variable = disp_x
    out_of_plane_strain = strain_zz
    component = 0
  []
  [sdy]
    type = TotalLagrangianStressDivergence
    variable = disp_y
    out_of_plane_strain = strain_zz
    component = 1
    save_in = 'ry'
  []
  [wps]
    type = TotalLagrangianWeakPlaneStress
    variable = strain_zz
  []
[]

[AuxVariables]
  [ry]
  []
[]

[BCs]
  [left_x]
    type = DirichletBC
    variable = disp_x
    boundary = left
    value = 0
  []
  [bottom_y]
    type = DirichletBC
    variable = disp_y
    boundary = bottom
    value = 0
  []
  [disp_y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = top
    function = 't'
  []
[]

[Materials]
  [elastic_tensor]
    type = ComputeIsotropicElasticityTensor
    youngs_modulus = 1000.0
    poissons_ratio = 0.25
  []
  [strain]
    type = ComputeLagrangianWPSStrain
    out_of_plane_strain = strain_zz
  []
  [stress]
    type = ComputeLagrangianLinearElasticStress
  []
[]

[Executioner]
  type = Transient
  dt = 0.01
  end_time = 0.1

  solve_type = 'newton'
  petsc_options_iname = '-pc_type'
  petsc_options_value = 'lu'

  nl_abs_tol = 1e-10
  nl_rel_tol = 1e-10
[]

[Postprocessors]
  [Ry]
    type = NodalSum
    variable = ry
    boundary = top
    execute_on = 'INITIAL TIMESTEP_END'
  []
[]

[Outputs]
  csv = true
[]

(modules/solid_mechanics/test/tests/orthotropic_plasticity/powerRuleHardening.i)

# UserObject Orthotropic test, with power rule hardening with rate 1e1.
# Linear strain is applied in the x direction.

[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin =  -.5
  xmax = .5
  ymin = -.5
  ymax = .5
  zmin = -.5
  zmax = .5
[]

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]

[Physics/SolidMechanics/QuasiStatic]
  [./all]
    strain = FINITE
    add_variables = true
    generate_output = 'stress_xx stress_yy stress_zz stress_xy stress_yz'
  [../]
[]

[BCs]
  [./xdisp]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'right'
    function = '0.005*t'
  [../]
  [./yfix]
    type = DirichletBC
    variable = disp_y
    #boundary = 'bottom top'
    boundary = 'bottom'
    value = 0
  [../]
  [./xfix]
    type = DirichletBC
    variable = disp_x
    boundary = 'left'
    value = 0
  [../]
  [./zfix]
    type = DirichletBC
    variable = disp_z
    #boundary = 'front back'
    boundary = 'back'
    value = 0
  [../]
[]

[AuxVariables]
  [./stress_xz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./plastic_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./plastic_xy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./plastic_xz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./plastic_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./plastic_yz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./plastic_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./iter]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./intnl]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./sdev]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./sdet]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]

[AuxKernels]
  [./stress_xz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xz
    index_i = 0
    index_j = 2
  [../]
  [./plastic_xx]
    type = RankTwoAux
    rank_two_tensor = plastic_strain
    variable = plastic_xx
    index_i = 0
    index_j = 0
  [../]
  [./plastic_xy]
    type = RankTwoAux
    rank_two_tensor = plastic_strain
    variable = plastic_xy
    index_i = 0
    index_j = 1
  [../]
  [./plastic_xz]
    type = RankTwoAux
    rank_two_tensor = plastic_strain
    variable = plastic_xz
    index_i = 0
    index_j = 2
  [../]
  [./plastic_yy]
    type = RankTwoAux
    rank_two_tensor = plastic_strain
    variable = plastic_yy
    index_i = 1
    index_j = 1
  [../]
  [./plastic_yz]
    type = RankTwoAux
    rank_two_tensor = plastic_strain
    variable = plastic_yz
    index_i = 1
    index_j = 2
  [../]
  [./plastic_zz]
    type = RankTwoAux
    rank_two_tensor = plastic_strain
    variable = plastic_zz
    index_i = 2
    index_j = 2
  [../]
  [./f]
    type = MaterialStdVectorAux
    index = 0
    property = plastic_yield_function
    variable = f
  [../]
  [./iter]
    type = MaterialRealAux
    property = plastic_NR_iterations
    variable = iter
  [../]
  [./intnl]
    type = MaterialStdVectorAux
    index = 0
    property = plastic_internal_parameter
    variable = intnl
  [../]
  [./sdev]
    type = RankTwoScalarAux
    variable = sdev
    rank_two_tensor = stress
    scalar_type = VonMisesStress
  [../]
[]

[Postprocessors]
  [./sdev]
    type = PointValue
    point = '0 0 0'
    variable = sdev
  [../]
  [./s_xx]
    type = PointValue
    point = '0 0 0'
    variable = stress_xx
  [../]
  [./p_xx]
    type = PointValue
    point = '0 0 0'
    variable = plastic_xx
  [../]
  [./s_xy]
    type = PointValue
    point = '0 0 0'
    variable = stress_xy
  [../]
  [./p_xy]
    type = PointValue
    point = '0 0 0'
    variable = plastic_xy
  [../]
  [./p_xz]
    type = PointValue
    point = '0 0 0'
    variable = plastic_xz
  [../]
  [./p_yz]
    type = PointValue
    point = '0 0 0'
    variable = plastic_yz
  [../]
  [./s_xz]
    type = PointValue
    point = '0 0 0'
    variable = stress_xz
  [../]
  [./s_yy]
    type = PointValue
    point = '0 0 0'
    variable = stress_yy
  [../]
  [./p_yy]
    type = PointValue
    point = '0 0 0'
    variable = plastic_yy
  [../]
  [./s_yz]
    type = PointValue
    point = '0 0 0'
    variable = stress_yz
  [../]
  [./s_zz]
    type = PointValue
    point = '0 0 0'
    variable = stress_zz
  [../]
  [./p_zz]
    type = PointValue
    point = '0 0 0'
    variable = plastic_zz
  [../]
  [./intnl]
    type = PointValue
    point = '0 0 0'
    variable = intnl
  [../]
[]

[UserObjects]
  [./str]
    type = SolidMechanicsHardeningPowerRule
    value_0 = 300
    epsilon0 = 1
    exponent = 1e1

  [../]
  [./Orthotropic]
    type = SolidMechanicsPlasticOrthotropic
    b = -0.1
    c1 = '1 1 1 1 1 1'
    c2 = '1 1 1 1 1 1'
    associative = true
    yield_strength = str
    yield_function_tolerance = 1e-5
    internal_constraint_tolerance = 1e-9
    use_custom_returnMap = false
    use_custom_cto = false
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    block = 0
    fill_method = symmetric_isotropic
    C_ijkl = '121e3 80e3'
  [../]
  [./mc]
    type = ComputeMultiPlasticityStress
    block = 0
    ep_plastic_tolerance = 1e-9
    plastic_models = Orthotropic
    debug_fspb = crash
    tangent_operator = elastic
  [../]
[]


[Executioner]
  type = Transient

  num_steps = 3
  dt = .25

  nl_rel_tol = 1e-6
  nl_max_its = 10
  l_tol = 1e-4
  l_max_its = 50

  solve_type = PJFNK
  petsc_options_iname = '-pc_type'
  petsc_options_value = 'lu'
[]

[Preconditioning]
  [./smp]
    type = SMP
    full = true
  [../]
[]

[Outputs]
  perf_graph = false
  csv = true
[]

(test/tests/postprocessors/side_extreme_value/nonlinear_variable_proxy.i)

[Mesh]
  type = GeneratedMesh
  dim = 2
  nx = 10
  ny = 10
  second_order = true
[]

[Variables]
  [u]
    order = SECOND
  []
  [v]
    order = SECOND
  []
[]

[Kernels]
  [diff]
    type = Diffusion
    variable = u
  []
  [diff_v]
    type = Diffusion
    variable = v
  []
[]

[BCs]
  [top]
    type = FunctionDirichletBC
    variable = u
    function = 'sin(x*2*pi)'
    boundary = top
  []
  [top_inverse]
    type = FunctionDirichletBC
    variable = v
    function = '-sin(x*2*pi)'
    boundary = top
  []
[]

[Postprocessors]
  [max]
    type = SideExtremeValue
    variable = u
    proxy_variable = v
    boundary = top
  []
  [min]
    type = SideExtremeValue
    variable = u
    proxy_variable = v
    boundary = top
    value_type = min
  []
[]

[Executioner]
  type = Steady
  petsc_options_iname = '-pc_type'
  petsc_options_value = 'lu'
[]

[Outputs]
  csv = true
[]

(modules/navier_stokes/test/tests/finite_element/ins/RZ_cone/rz_cone_no_parts_steady_stabilized_second_order.i)

# This input file tests several different things:
# .) The axisymmetric (RZ) form of the governing equations.
# .) An open boundary.
# .) Not integrating the pressure by parts, thereby requiring a pressure pin.
# .) Natural boundary condition at the outlet.
[GlobalParams]
  integrate_p_by_parts = false
  laplace = true
  gravity = '0 0 0'
  supg = true
  pspg = true
  order = SECOND
[]

[Mesh]
  file = '2d_cone.msh'
[]

[Problem]
  coord_type = RZ
[]

[Preconditioning]
  [./SMP_PJFNK]
    type = SMP
    full = true
    solve_type = Newton
  [../]
[]

[Executioner]
  type = Steady

  petsc_options_iname = '-pc_type -sub_pc_type -sub_pc_factor_levels'
  petsc_options_value = 'bjacobi  ilu          4'

  nl_rel_tol = 1e-12
  nl_max_its = 6
[]

[Outputs]
  console = true
  [./out]
    type = Exodus
  [../]
[]

[Variables]
  [./vel_x]
    # Velocity in radial (r) direction
  [../]
  [./vel_y]
    # Velocity in axial (z) direction
  [../]
  [./p]
    order = FIRST
  [../]
[]

[BCs]
  [./p_corner]
    # This is required, because pressure term is *not* integrated by parts.
    type = DirichletBC
    boundary = top_right
    value = 0
    variable = p
  [../]
  [./u_in]
    type = DirichletBC
    boundary = bottom
    variable = vel_x
    value = 0
  [../]
  [./v_in]
    type = FunctionDirichletBC
    boundary = bottom
    variable = vel_y
    function = 'inlet_func'
  [../]
  [./u_axis_and_walls]
    type = DirichletBC
    boundary = 'left right'
    variable = vel_x
    value = 0
  [../]
  [./v_no_slip]
    type = DirichletBC
    boundary = 'right'
    variable = vel_y
    value = 0
  [../]
[]


[Kernels]
  [./mass]
    type = INSMassRZ
    variable = p
    u = vel_x
    v = vel_y
    pressure = p
  [../]
  [./x_momentum_space]
    type = INSMomentumLaplaceFormRZ
    variable = vel_x
    u = vel_x
    v = vel_y
    pressure = p
    component = 0
  [../]
  [./y_momentum_space]
    type = INSMomentumLaplaceFormRZ
    variable = vel_y
    u = vel_x
    v = vel_y
    pressure = p
    component = 1
  [../]
[]

[Materials]
  [./const]
    type = GenericConstantMaterial
    block = 'volume'
    prop_names = 'rho mu'
    prop_values = '1  1'
  [../]
[]

[Functions]
  [./inlet_func]
    type = ParsedFunction
    expression = '-4 * x^2 + 1'
  [../]
[]

[Postprocessors]
  [./flow_in]
    type = VolumetricFlowRate
    vel_x = vel_x
    vel_y = vel_y
    boundary = 'bottom'
    execute_on = 'timestep_end'
  [../]
  [./flow_out]
    type = VolumetricFlowRate
    vel_x = vel_x
    vel_y = vel_y
    boundary = 'top'
    execute_on = 'timestep_end'
  [../]
[]

(modules/contact/test/tests/mortar_tm/2drz/frictionless_first/finite_rr.i)

E_block = 1e7
E_plank = 1e7
elem = QUAD4
order = FIRST
name = 'finite_rr'

[Problem]
  coord_type = RZ
[]

[Mesh]
  patch_size = 80
  patch_update_strategy = auto
  [plank]
    type = GeneratedMeshGenerator
    dim = 2
    xmin = 0
    xmax = 0.6
    ymin = -10
    ymax = 10
    nx = 2
    ny = 67
    elem_type = ${elem}
    boundary_name_prefix = plank
  []
  [plank_id]
    type = SubdomainIDGenerator
    input = plank
    subdomain_id = 1
  []

  [block]
    type = GeneratedMeshGenerator
    dim = 2
    xmin = 0.61
    xmax = 1.21
    ymin = 9.2
    ymax = 10.0
    nx = 3
    ny = 4
    elem_type = ${elem}
    boundary_name_prefix = block
    boundary_id_offset = 10
  []
  [block_id]
    type = SubdomainIDGenerator
    input = block
    subdomain_id = 2
  []

  [combined]
    type = MeshCollectionGenerator
    inputs = 'plank_id block_id'
  []
  [block_rename]
    type = RenameBlockGenerator
    input = combined
    old_block = '1 2'
    new_block = 'plank block'
  []
[]

[GlobalParams]
  displacements = 'disp_x disp_y'
[]

[Problem]
  type = ReferenceResidualProblem
  extra_tag_vectors = 'ref'
  reference_vector = 'ref'
[]

[Variables]
  [disp_x]
    order = ${order}
    block = 'plank block'
    scaling = '${fparse 2.0 / (E_plank + E_block)}'
  []
  [disp_y]
    order = ${order}
    block = 'plank block'
    scaling = '${fparse 2.0 / (E_plank + E_block)}'
  []
[]

[Physics/SolidMechanics/QuasiStatic]
  [block]
    strain = FINITE
    generate_output = 'stress_xx stress_yy stress_zz vonmises_stress hydrostatic_stress strain_xx '
                      'strain_yy strain_zz'
    block = 'block'
    extra_vector_tags = 'ref'
  []
  [plank]
    strain = FINITE
    generate_output = 'stress_xx stress_yy stress_zz vonmises_stress hydrostatic_stress strain_xx '
                      'strain_yy strain_zz'
    block = 'plank'
    eigenstrain_names = 'swell'
    extra_vector_tags = 'ref'
  []
[]

[Contact]
  [frictionless]
    primary = plank_right
    secondary = block_left
    formulation = mortar
    c_normal = 1e0
  []
[]

[BCs]
  [left_x]
    type = DirichletBC
    variable = disp_x
    boundary = plank_left
    value = 0.0
  []
  [left_y]
    type = DirichletBC
    variable = disp_y
    boundary = plank_bottom
    value = 0.0
  []
  [right_x]
    type = DirichletBC
    variable = disp_x
    boundary = block_right
    value = 0
  []
  [right_y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = block_right
    function = '-t'
  []
[]

[Materials]
  [plank]
    type = ComputeIsotropicElasticityTensor
    block = 'plank'
    poissons_ratio = 0.3
    youngs_modulus = ${E_plank}
  []
  [block]
    type = ComputeIsotropicElasticityTensor
    block = 'block'
    poissons_ratio = 0.3
    youngs_modulus = ${E_block}
  []
  [stress]
    type = ComputeFiniteStrainElasticStress
    block = 'plank block'
  []
  [swell]
    type = ComputeEigenstrain
    block = 'plank'
    eigenstrain_name = swell
    eigen_base = '1 0 0 0 0 0 0 0 0'
    prefactor = swell_mat
  []
  [swell_mat]
    type = GenericFunctionMaterial
    prop_names = 'swell_mat'
    prop_values = '7e-2*(1-cos(4*t))'
    block = 'plank'
  []
[]

[Preconditioning]
  [smp]
    type = SMP
    full = true
  []
[]

[Executioner]
  type = Transient
  solve_type = 'PJFNK'
  petsc_options = '-snes_converged_reason -ksp_converged_reason'
  petsc_options_iname = '-pc_type -mat_mffd_err -pc_factor_shift_type -pc_factor_shift_amount'
  petsc_options_value = 'lu       1e-5          NONZERO               1e-15'
  end_time = 5
  dt = 0.1
  dtmin = 0.1
  timestep_tolerance = 1e-6
  line_search = 'contact'
  nl_abs_tol = 1e-12
[]

[Postprocessors]
  [nl_its]
    type = NumNonlinearIterations
  []
  [total_nl_its]
    type = CumulativeValuePostprocessor
    postprocessor = nl_its
  []
  [l_its]
    type = NumLinearIterations
  []
  [total_l_its]
    type = CumulativeValuePostprocessor
    postprocessor = l_its
  []
  [contact]
    type = ContactDOFSetSize
    variable = frictionless_normal_lm
    subdomain = frictionless_secondary_subdomain
  []
  [avg_hydro]
    type = ElementAverageValue
    variable = hydrostatic_stress
    block = 'block'
  []
  [max_hydro]
    type = ElementExtremeValue
    variable = hydrostatic_stress
    block = 'block'
  []
  [min_hydro]
    type = ElementExtremeValue
    variable = hydrostatic_stress
    block = 'block'
    value_type = min
  []
  [avg_vonmises]
    type = ElementAverageValue
    variable = vonmises_stress
    block = 'block'
  []
  [max_vonmises]
    type = ElementExtremeValue
    variable = vonmises_stress
    block = 'block'
  []
  [min_vonmises]
    type = ElementExtremeValue
    variable = vonmises_stress
    block = 'block'
    value_type = min
  []
[]

[Outputs]
  file_base = ${name}
  [comp]
    type = CSV
    show = 'contact'
  []
  [out]
    type = CSV
    file_base = '${name}_out'
  []
[]

[Debug]
  show_var_residual_norms = true
[]

(modules/contact/test/tests/explicit_dynamics/first_test.i)

# One element test to test the central difference time integrator in 3D.
[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]

[Mesh]
  [block_one]
    type = GeneratedMeshGenerator
    dim = 3
    nx = 2
    ny = 2
    nz = 2
    xmin = 4.5
    xmax = 5.5
    ymin = 4.5
    ymax = 5.5
    zmin = 0.0001
    zmax = 1.0001
    boundary_name_prefix = 'ball'
  []
  [block_two]
    type = GeneratedMeshGenerator
    dim = 3
    nx = 2
    ny = 2
    nz = 2
    xmin = 0.0
    xmax = 10
    ymin = 0.0
    ymax = 10
    zmin = -2
    zmax = 0
    boundary_name_prefix = 'base'
    boundary_id_offset = 10
  []
  [block_one_id]
    type = SubdomainIDGenerator
    input = block_one
    subdomain_id = 1
  []
  [block_two_id]
    type = SubdomainIDGenerator
    input = block_two
    subdomain_id = 2
  []
  [combine]
    type = MeshCollectionGenerator
    inputs = ' block_one_id block_two_id'
  []
  allow_renumbering = false
[]

[Variables]
  [disp_x]
  []
  [disp_y]
  []
  [disp_z]
  []
[]

[AuxVariables]
  [vel_x]
  []
  [accel_x]
  []
  [vel_y]
  []
  [accel_y]
  []
  [vel_z]
  []
  [accel_z]
  []
[]

[AuxKernels]
  [accel_x]
    type = TestNewmarkTI
    variable = accel_x
    displacement = disp_x
    first = false
  []
  [vel_x]
    type = TestNewmarkTI
    variable = vel_x
    displacement = disp_x
  []
  [accel_y]
    type = TestNewmarkTI
    variable = accel_y
    displacement = disp_y
    first = false
  []
  [vel_y]
    type = TestNewmarkTI
    variable = vel_y
    displacement = disp_x
  []
  [accel_z]
    type = TestNewmarkTI
    variable = accel_z
    displacement = disp_z
    first = false
  []
  [vel_z]
    type = TestNewmarkTI
    variable = vel_z
    displacement = disp_z
  []
[]

[Kernels]
  [DynamicTensorMechanics]
    displacements = 'disp_x disp_y disp_z'
    volumetric_locking_correction = true
    stiffness_damping_coefficient = 0.04
    #generate_output = 'stress_zz strain_zz'
  []
  [inertia_x]
    type = InertialForce
    variable = disp_x
  []
  [inertia_y]
    type = InertialForce
    variable = disp_y
  []
  [inertia_z]
    type = InertialForce
    variable = disp_z
  []
[]

[Functions]
  [dispz]
    type = ParsedFunction
    expression = if(t<1.0e3,-0.01*t,0)
  []
  [push]
    type = ParsedFunction
    expression = if(t<10.0,0.01*t,0.1)
  []
[]

[BCs]
  [z_front]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'ball_front'
    function = dispz
    preset = false
  []
  [x_front]
    type = DirichletBC
    variable = disp_x
    boundary = 'ball_front'
    preset = false
    value = 0.0
  []
  [y_front]
    type = DirichletBC
    variable = disp_y
    boundary = 'ball_front'
    preset = false
    value = 0.0
  []
  [x_fixed]
    type = DirichletBC
    variable = disp_x
    boundary = 'base_back'
    preset = false
    value = 0.0
  []
  [y_fixed]
    type = DirichletBC
    variable = disp_y
    boundary = 'base_back'
    preset = false
    value = 0.0
  []
  [z_fixed]
    type = DirichletBC
    variable = disp_z
    boundary = 'base_back'
    preset = false
    value = 0.0
  []
[]

[ExplicitDynamicsContact]
  [my_contact]
    model = frictionless
    primary = base_front
    secondary = ball_back
    penalty = 1.0e3
    verbose = true
  []
[]

[Materials]
  [elasticity_tensor_block_one]
    type = ComputeIsotropicElasticityTensor
    youngs_modulus = 1e3
    poissons_ratio = 0.0
    block = 1
  []
  [elasticity_tensor_block_two]
    type = ComputeIsotropicElasticityTensor
    youngs_modulus = 1e6
    poissons_ratio = 0.0
    block = 2
  []
  [strain_block]
    type = ComputeIncrementalStrain
    displacements = 'disp_x disp_y disp_z'
    implicit = false
  []
  [stress_block]
    type = ComputeFiniteStrainElasticStress
  []
  [density]
    type = GenericConstantMaterial
    prop_names = density
    prop_values = 1e4
  []
  [wave_speed]
    type = WaveSpeed
  []
[]

[Executioner]
  type = Transient
  start_time = -0.01
  end_time = 0.25
  dt = 0.005
  timestep_tolerance = 1e-6

  [TimeIntegrator]
    type = CentralDifference
  []
[]

[Postprocessors]
  [disp_58z]
    type = NodalVariableValue
    nodeid = 1
    variable = disp_z
  []
  [critical_time_step]
    type = CriticalTimeStep
  []
  [contact_pressure_max]
    type = NodalExtremeValue
    variable = contact_pressure
    block = '1 2'
    value_type = max
  []
[]

[Outputs]
  exodus = true
  csv = true
[]

(modules/solid_mechanics/test/tests/multi/two_surface01.i)

# Plasticit models:
# SimpleTester with a = 0 and b = 1 and strength = 1
# SimpleTester with a = 1 and b = 1 and strength = 2
#
# Lame lambda = 0 (Poisson=0).  Lame mu = 0.5E6
#
# A single element is stretched by 1.5E-6m in the z directions.
# stress_zz = 1.5
#
# Then only the first SimpleTester should activate, and the final stress
# should have have only nonzero component stress_zz = 1

[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]


[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
[]

[Kernels]
  [SolidMechanics]
    displacements = 'disp_x disp_y disp_z'
  [../]
[]


[BCs]
  [./x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'front back'
    function = '0E-6*x'
  [../]
  [./y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'front back'
    function = '0E-6*y'
  [../]
  [./z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'front back'
    function = '1.5E-6*z'
  [../]
[]

[AuxVariables]
  [./stress_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f0]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f1]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./int0]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./int1]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]

[AuxKernels]
  [./stress_xx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xx
    index_i = 0
    index_j = 0
  [../]
  [./stress_xy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xy
    index_i = 0
    index_j = 1
  [../]
  [./stress_xz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xz
    index_i = 0
    index_j = 2
  [../]
  [./stress_yy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yy
    index_i = 1
    index_j = 1
  [../]
  [./stress_yz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yz
    index_i = 1
    index_j = 2
  [../]
  [./stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zz
    index_i = 2
    index_j = 2
  [../]
  [./f0]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 0
    variable = f0
  [../]
  [./f1]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 1
    variable = f1
  [../]
  [./int0]
    type = MaterialStdVectorAux
    property = plastic_internal_parameter
    factor = 1E6
    index = 0
    variable = int0
  [../]
  [./int1]
    type = MaterialStdVectorAux
    property = plastic_internal_parameter
    factor = 1E6
    index = 1
    variable = int1
  [../]
[]

[Postprocessors]
  [./s_xx]
    type = PointValue
    point = '0 0 0'
    variable = stress_xx
  [../]
  [./s_xy]
    type = PointValue
    point = '0 0 0'
    variable = stress_xy
  [../]
  [./s_xz]
    type = PointValue
    point = '0 0 0'
    variable = stress_xz
  [../]
  [./s_yy]
    type = PointValue
    point = '0 0 0'
    variable = stress_yy
  [../]
  [./s_yz]
    type = PointValue
    point = '0 0 0'
    variable = stress_yz
  [../]
  [./s_zz]
    type = PointValue
    point = '0 0 0'
    variable = stress_zz
  [../]
  [./f0]
    type = PointValue
    point = '0 0 0'
    variable = f0
  [../]
  [./f1]
    type = PointValue
    point = '0 0 0'
    variable = f1
  [../]
  [./int0]
    type = PointValue
    point = '0 0 0'
    variable = int0
  [../]
  [./int1]
    type = PointValue
    point = '0 0 0'
    variable = int1
  [../]
[]

[UserObjects]
  [./simple1]
    type = SolidMechanicsPlasticSimpleTester
    a = 0
    b = 1
    strength = 1
    yield_function_tolerance = 1.0E-9
    internal_constraint_tolerance = 1.0E-9
  [../]
  [./simple2]
    type = SolidMechanicsPlasticSimpleTester
    a = 1
    b = 1
    strength = 2
    yield_function_tolerance = 1.0E-9
    internal_constraint_tolerance = 1.0E-9
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    block = 0
    fill_method = symmetric_isotropic
    C_ijkl = '0 0.5E6'
  [../]
  [./strain]
    type = ComputeFiniteStrain
    block = 0
    displacements = 'disp_x disp_y disp_z'
  [../]
  [./multi]
    type = ComputeMultiPlasticityStress
    block = 0
    ep_plastic_tolerance = 1E-9
    plastic_models = 'simple1 simple2'
    max_NR_iterations = 2
    min_stepsize = 1
    debug_fspb = crash
    debug_jac_at_stress = '10 0 0 0 10 0 0 0 10'
    debug_jac_at_pm = '1 1'
    debug_jac_at_intnl = '1 1'
    debug_stress_change = 1E-5
    debug_pm_change = '1E-6 1E-6'
    debug_intnl_change = '1E-6 1E-6'
  [../]
[]


[Executioner]
  end_time = 1
  dt = 1
  type = Transient
[]


[Outputs]
  file_base = two_surface01
  exodus = false
  [./csv]
    type = CSV
    [../]
[]

(modules/heat_transfer/tutorials/introduction/therm_step02.i)

#
# Single block thermal input with boundary conditions
# https://mooseframework.inl.gov/modules/heat_transfer/tutorials/introduction/therm_step02.html
#

[Mesh]
  [generated]
    type = GeneratedMeshGenerator
    dim = 2
    nx = 10
    ny = 10
    xmax = 2
    ymax = 1
  []
[]

[Variables]
  [T]
  []
[]

[Kernels]
  [heat_conduction]
    type = HeatConduction
    variable = T
  []
[]

[Materials]
  [thermal]
    type = HeatConductionMaterial
    thermal_conductivity = 45.0
  []
[]

[BCs]
  [t_left]
    type = DirichletBC
    variable = T
    value = 300
    boundary = 'left'
  []
  [t_right]
    type = FunctionDirichletBC
    variable = T
    function = '300+5*t'
    boundary = 'right'
  []
[]

[Executioner]
  type = Transient
  end_time = 5
  dt = 1
[]

[Outputs]
  exodus = true
[]

(test/tests/geomsearch/3d_moving_penetration/pl_test3tt.i)

[GlobalParams]
  order = FIRST
  family = LAGRANGE
[]

[Mesh]
  file = pl_test3tt.e
  displacements = 'disp_x disp_y disp_z'
[]

[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
[]

[AuxVariables]
  [./distance]
  [../]
  [./tangential_distance]
  [../]
  [./normal_x]
  [../]
  [./normal_y]
  [../]
  [./normal_z]
  [../]
  [./closest_point_x]
  [../]
  [./closest_point_y]
  [../]
  [./closest_point_z]
  [../]
  [./element_id]
  [../]
  [./side]
  [../]
[]

[Kernels]
  [./diff_x]
    type = Diffusion
    variable = disp_x
  [../]
  [./diff_y]
    type = Diffusion
    variable = disp_y
  [../]
  [./diff_z]
    type = Diffusion
    variable = disp_z
  [../]
[]

[AuxKernels]
  [./penetrate]
    type = PenetrationAux
    variable = distance
    boundary = 11            #secondary
    paired_boundary = 12     #primary
    tangential_tolerance = 0.09
  [../]

  [./penetrate2]
    type = PenetrationAux
    variable = distance
    boundary = 12            #secondary
    paired_boundary = 11     #primary
    tangential_tolerance = 0.09
  [../]

  [./penetrate3]
    type = PenetrationAux
    variable = tangential_distance
    boundary = 11
    paired_boundary = 12
    quantity = tangential_distance
  [../]

  [./penetrate4]
    type = PenetrationAux
    variable = tangential_distance
    boundary = 12
    paired_boundary = 11
    quantity = tangential_distance
  [../]

  [./penetrate5]
    type = PenetrationAux
    variable = normal_x
    boundary = 11
    paired_boundary = 12
    quantity = normal_x
  [../]

  [./penetrate6]
    type = PenetrationAux
    variable = normal_x
    boundary = 12
    paired_boundary = 11
    quantity = normal_x
  [../]

  [./penetrate7]
    type = PenetrationAux
    variable = normal_y
    boundary = 11
    paired_boundary = 12
    quantity = normal_y
  [../]

  [./penetrate8]
    type = PenetrationAux
    variable = normal_y
    boundary = 12
    paired_boundary = 11
    quantity = normal_y
  [../]

  [./penetrate9]
    type = PenetrationAux
    variable = normal_z
    boundary = 11
    paired_boundary = 12
    quantity = normal_z
  [../]

  [./penetrate10]
    type = PenetrationAux
    variable = normal_z
    boundary = 12
    paired_boundary = 11
    quantity = normal_z
  [../]

  [./penetrate11]
    type = PenetrationAux
    variable = closest_point_x
    boundary = 11
    paired_boundary = 12
    quantity = closest_point_x
  [../]

  [./penetrate12]
    type = PenetrationAux
    variable = closest_point_x
    boundary = 12
    paired_boundary = 11
    quantity = closest_point_x
  [../]

  [./penetrate13]
    type = PenetrationAux
    variable = closest_point_y
    boundary = 11
    paired_boundary = 12
    quantity = closest_point_y
  [../]

  [./penetrate14]
    type = PenetrationAux
    variable = closest_point_y
    boundary = 12
    paired_boundary = 11
    quantity = closest_point_y
  [../]

  [./penetrate15]
    type = PenetrationAux
    variable = closest_point_z
    boundary = 11
    paired_boundary = 12
    quantity = closest_point_z
  [../]

  [./penetrate16]
    type = PenetrationAux
    variable = closest_point_z
    boundary = 12
    paired_boundary = 11
    quantity = closest_point_z
  [../]

  [./penetrate17]
    type = PenetrationAux
    variable = element_id
    boundary = 11
    paired_boundary = 12
    quantity = element_id
  [../]

  [./penetrate18]
    type = PenetrationAux
    variable = element_id
    boundary = 12
    paired_boundary = 11
    quantity = element_id
  [../]

  [./penetrate19]
    type = PenetrationAux
    variable = side
    boundary = 11
    paired_boundary = 12
    quantity = side
  [../]

  [./penetrate20]
    type = PenetrationAux
    variable = side
    boundary = 12
    paired_boundary = 11
    quantity = side
  [../]
[]

[BCs]
  [./b1x]
    type = DirichletBC
    variable = disp_x
    preset = false
    boundary = 1
    value = 0
  [../]

  [./b1y]
    type = DirichletBC
    variable = disp_y
    preset = false
    boundary = 1
    value = 0
  [../]

  [./b1z]
    type = DirichletBC
    variable = disp_z
    preset = false
    boundary = 1
    value = 0
  [../]

  [./b2x]
    type = DirichletBC
    variable = disp_x
    preset = false
    boundary = 2
    value = 0
  [../]

  [./b2y]
    type = FunctionDirichletBC
    variable = disp_y
    preset = false
    boundary = 2
    function = disp_y
  [../]

  [./b2z]
    type = DirichletBC
    variable = disp_z
    preset = false
    boundary = 2
    value = 0
  [../]
[]

[Functions]
  [./disp_y]
    type = PiecewiseLinear
    x = '0.0 0.25 0.75 1.0'
    y = '0.0 2.0 -2.0  0.0'
  [../]
[]

[Executioner]
  type = Transient

  solve_type = 'PJFNK'
  petsc_options = '-snes_ksp_ew'

  nl_rel_tol = 1e-9
  l_max_its = 10

  start_time = 0.0
  dt = 0.02
  end_time = 1.0
[]

[Outputs]
  file_base = pl_test3tt_out
  exodus = true
[]

(modules/solid_mechanics/test/tests/umat/elastic_hardening/elastic.i)

# Testing the UMAT Interface - linear elastic model using the large strain formulation.

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]

[Mesh]
  [gen]
    type = GeneratedMeshGenerator
    dim = 3
    xmin = -0.5
    xmax = 0.5
    ymin = -0.5
    ymax = 0.5
    zmin = -0.5
    zmax = 0.5
  []
[]

[Functions]
  [top_pull]
    type = ParsedFunction
    expression = t/100
  []
[]

[Physics/SolidMechanics/QuasiStatic]
  [all]
    add_variables = true
    strain = FINITE
  []
[]

[BCs]
  [y_pull_function]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = top
    function = top_pull
  []
  [x_bot]
    type = DirichletBC
    variable = disp_x
    boundary = left
    value = 0.0
  []
  [y_bot]
    type = DirichletBC
    variable = disp_y
    boundary = bottom
    value = 0.0
  []
  [z_bot]
    type = DirichletBC
    variable = disp_z
    boundary = front
    value = 0.0
  []
[]

[Materials]
  # this input file is used to compare the MOOSE and UMAT models, activating
  # specific ones with cli variable_names.

  # 1. active for umat calculation
  [umat]
    type = AbaqusUMATStress
    constant_properties = '1000 0.3'
    plugin = '../../../plugins/elastic'
    num_state_vars = 0
    use_one_based_indexing = true
  []

  # 2. active for moose built-in finite strain elasticity reference
  [elastic]
    type = ComputeIsotropicElasticityTensor
    youngs_modulus = 1000
    poissons_ratio = 0.3
  []
  [stress]
    type = ComputeFiniteStrainElasticStress
  []
[]

[Executioner]
  type = Transient
  solve_type = 'PJFNK'

  petsc_options = '-snes_ksp_ew'
  petsc_options_iname = '-ksp_gmres_restart'
  petsc_options_value = '101'

  line_search = 'none'

  l_max_its = 100
  nl_max_its = 100
  nl_rel_tol = 1e-12
  nl_abs_tol = 1e-10
  l_tol = 1e-9
  start_time = 0.0
  num_steps = 30
  dt = 1.0
[]

[Preconditioning]
  [smp]
    type = SMP
    full = true
  []
[]

[Outputs]
  exodus = true
[]

(modules/solid_mechanics/test/tests/recompute_radial_return/affine_plasticity.i)

# Affine Plasticity Test for Transient Stress Eigenvalues with Stationary Eigenvectors

# This test is taken from K. Jamojjala, R. Brannon, A. Sadeghirad, J. Guilkey,
#  "Verification tests in solid mechanics," Engineering with Computers, Vol 31.,
#  p. 193-213.

# The test involves applying particular strains and expecting particular stresses.

# The material properties are:
#  Yield in shear     165 MPa
#  Shear modulus       79 GPa
#  Poisson's ratio    1/3

# The strains are:
#  Time        e11        e22        e33
#  0             0          0          0
#  1        -0.003     -0.003      0.006
#  2    -0.0103923          0  0.0103923

# The expected stresses are:
#  sigma11:
#   -474*t                             0 < t <= 0.201
#   -95.26                             0.201 < t <= 1
#   (189.4+0.1704*sqrt(a)-0.003242*a)
#   ---------------------------------  1 < t <= 2
#            1+0.00001712*a
#   -189.4                             t > 2 (paper erroneously gives a positive value)
#
#  sigma22:
#   -474*t                             0 < t <= 0.201
#   -95.26                             0.201 < t <= 1
#   -(76.87+1.443*sqrt(a)-0.001316*a)
#   ---------------------------------  1 < t <= 2 (paper gives opposite sign)
#             1+0.00001712*a
#   76.87                              t > 2
#
#  sigma33:
#   948*t                              0 < t <= 0.201
#   190.5                              0.201 < t <= 1
#   -(112.5-1.272*sqrt(a)-0.001926*a)
#   ---------------------------------  1 < t <= 2 (paper has two sign errors here)
#            1+0.00001712*a
#   112.5                              t > 2
#
#  where a = exp(12.33*t).
#
# Note: If planning to run this case with strain type ComputeFiniteStrain, the
#   displacement function must be adjusted.  Instead of
#     strain = (l - l0)/l0 = (u+l0 - l0)/l0 = u/l0
#   with l0=1.0, we would have
#     strain = log(l/l0) = log((u+l0)/l0)
#   with l0=1.0.  So, for strain = -0.003,
#     -0.003 = log((u+l0)/l0) ->
#     u = exp(-0.003)*l0 - l0 = -0.0029955044966269995.
#


[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
  block = '0'
[]

[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  # This test uses ElementalVariableValue postprocessors on specific
  # elements, so element numbering needs to stay unchanged
  allow_renumbering = false
[]

[Functions]
  [./disp_x]
    type = PiecewiseLinear
    x = '0.  1.     2.'
    y = '0. -0.003 -0.0103923'
  [../]
  [./disp_y]
    type = PiecewiseLinear
    x = '0.  1.    2.'
    y = '0. -0.003 0.'
  [../]
  [./disp_z]
    type = PiecewiseLinear
    x = '0. 1.    2.'
    y = '0. 0.006 0.0103923'
  [../]
  [./stress_xx]
    type = ParsedFunction
    # The paper gives 0.201 as the time at initial yield, but 0.20097635952803425 is the exact value.
    # The paper gives -95.26 MPa as the stress at yield, but -95.26279441628823 is the exact value.
    # The paper gives 12.33 as the factor in the exponential, but 12.332921390339125 is the exact value.
    # 189.409039923814000, 0.170423791206825, -0.003242011311945, 1.711645501845780E-05 - exact values
    symbol_names = 'timeAtYield stressAtYield expFac a b c d'
    symbol_values = '0.20097635952803425 -95.26279441628823 12.332921390339125 189.409039923814000 0.170423791206825 -0.003242011311945 1.711645501845780E-05'
    value = '1e6*
             if(t<=timeAtYield, -474*t,
             if(t<=1, stressAtYield,
             (a+b*sqrt(exp(expFac*t))+c*exp(expFac*t))/(1.0+d*exp(expFac*t))))' # tends to -a
  [../]
  [./stress_yy]
    type = ParsedFunction
    # The paper gives 0.201 as the time at initial yield, but 0.20097635952803425 is the exact value.
    # the paper gives -95.26 MPa as the stress at yield, but -95.26279441628823 is the exact value.
    # The paper gives 12.33 as the factor in the exponential, but 12.332921390339125 is the exact value.
    # -76.867432297315000, -1.442488120272900, 0.001315697947301, 1.711645501845780E-05 - exact values
    symbol_names = 'timeAtYield stressAtYield expFac a b c d'
    symbol_values = '0.20097635952803425 -95.26279441628823 12.332921390339125 -76.867432297315000 -1.442488120272900 0.001315697947301 1.711645501845780E-05'
    value = '1e6*
             if(t<=timeAtYield, -474*t,
             if(t<=1, stressAtYield,
             (a+b*sqrt(exp(expFac*t))+c*exp(expFac*t))/(1.0+d*exp(expFac*t))))' # tends to -a
  [../]
  [./stress_zz]
    type = ParsedFunction
    # The paper gives 0.201 as the time at initial yield, but 0.20097635952803425 is the exact value.
    # the paper gives 190.5 MPa as the stress at yield, but 190.52558883257645 is the exact value.
    # The paper gives 12.33 as the factor in the exponential, but 12.332921390339125 is the exact value.
    # -112.541607626499000, 1.272064329066080, 0.001926313364644, 1.711645501845780E-05 - exact values
    symbol_names = 'timeAtYield stressAtYield expFac a b c d'
    symbol_values = '0.20097635952803425 190.52558883257645 12.332921390339125 -112.541607626499000 1.272064329066080 0.001926313364644 1.711645501845780E-05'
    value = '1e6*
             if(t<=timeAtYield, 948*t,
             if(t<=1, stressAtYield,
             (a+b*sqrt(exp(expFac*t))+c*exp(expFac*t))/(1.0+d*exp(expFac*t))))' # tends to -a
  [../]
[]

[Variables]
  [./disp_x]
    order = FIRST
    family = LAGRANGE
  [../]
  [./disp_y]
    order = FIRST
    family = LAGRANGE
  [../]
  [./disp_z]
    order = FIRST
    family = LAGRANGE
  [../]
[]

[AuxVariables]
  [./stress_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./vonmises]
    order = CONSTANT
    family = MONOMIAL
  [../]

  [./plastic_strain_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./plastic_strain_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./plastic_strain_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]

[]

[Kernels]
  [SolidMechanics]
  [../]
[]

[AuxKernels]
  [./stress_xx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xx
    index_i = 0
    index_j = 0
    execute_on = 'timestep_end'
  [../]
  [./stress_yy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yy
    index_i = 1
    index_j = 1
    execute_on = 'timestep_end'
  [../]
  [./stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zz
    index_i = 2
    index_j = 2
    execute_on = 'timestep_end'
  [../]
  [./vonmises]
    type = RankTwoScalarAux
    rank_two_tensor = stress
    variable = vonmises
    scalar_type = vonmisesStress
    execute_on = 'timestep_end'
  [../]

  [./plastic_strain_xx]
    type = RankTwoAux
    rank_two_tensor = plastic_strain
    variable = plastic_strain_xx
    index_i = 0
    index_j = 0
    execute_on = 'timestep_end'
  [../]
  [./plastic_strain_yy]
    type = RankTwoAux
    rank_two_tensor = plastic_strain
    variable = plastic_strain_yy
    index_i = 1
    index_j = 1
    execute_on = 'timestep_end'
  [../]
  [./plastic_strain_zz]
    type = RankTwoAux
    rank_two_tensor = plastic_strain
    variable = plastic_strain_zz
    index_i = 2
    index_j = 2
    execute_on = 'timestep_end'
  [../]
[]

[BCs]
  [./fixed_x]
    type = DirichletBC
    variable = disp_x
    boundary = left
    value = 0.0
  [../]
  [./fixed_y]
    type = DirichletBC
    variable = disp_y
    boundary = bottom
    value = 0.0
  [../]
  [./fixed_z]
    type = DirichletBC
    variable = disp_z
    boundary = back
    value = 0.0
  [../]

  [./disp_x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = right
    function = disp_x
  [../]
  [./disp_y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = top
    function = disp_y
  [../]
  [./disp_z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = front
    function = disp_z
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeIsotropicElasticityTensor
    youngs_modulus = 210666666666.666667
    poissons_ratio = 0.3333333333333333
  [../]

  [./strain]
    type = ComputeIncrementalStrain
  [../]

  [./isotropic_plasticity]
    type = IsotropicPlasticityStressUpdate
    yield_stress = 285788383.2488647 # = sqrt(3)*165e6 = sqrt(3) * yield in shear
    hardening_constant = 0.0
  [../]
  [./radial_return_stress]
    type = ComputeMultipleInelasticStress
    tangent_operator = elastic
    inelastic_models = 'isotropic_plasticity'
  [../]
[]

[Executioner]

  type = Transient

  solve_type = 'PJFNK'
  petsc_options = '-snes_ksp_ew'
  petsc_options_iname = '-pc_type'
  petsc_options_value = 'lu'

  nl_abs_tol = 1e-10

  l_max_its = 20

  start_time = 0.0
  dt = 0.01 # use 0.0001 for a nearly exact match
  end_time = 2.0
[]

[Postprocessors]
  [./analytic_xx]
    type = FunctionValuePostprocessor
    function = stress_xx
  [../]
  [./analytic_yy]
    type = FunctionValuePostprocessor
    function = stress_yy
  [../]
  [./analytic_zz]
    type = FunctionValuePostprocessor
    function = stress_zz
  [../]

  [./stress_xx]
    type = ElementalVariableValue
    variable = stress_xx
    elementid = 0
  [../]
  [./stress_yy]
    type = ElementalVariableValue
    variable = stress_yy
    elementid = 0
  [../]
  [./stress_zz]
    type = ElementalVariableValue
    variable = stress_zz
    elementid = 0
  [../]

  [./stress_xx_l2_error]
    type = ElementL2Error
    variable = stress_xx
    function = stress_xx
  [../]
  [./stress_yy_l2_error]
    type = ElementL2Error
    variable = stress_yy
    function = stress_yy
  [../]
  [./stress_zz_l2_error]
    type = ElementL2Error
    variable = stress_zz
    function = stress_zz
  [../]
[]

[Outputs]
  exodus = true
[]

(modules/combined/test/tests/phase_field_fracture/crack2d_iso_with_pressure.i)

#This input uses PhaseField-Nonconserved Action to add phase field fracture bulk rate kernels
[Mesh]
  [gen]
    type = GeneratedMeshGenerator
    dim = 2
    nx = 20
    ny = 10
    ymax = 0.5
  []
  [./noncrack]
    type = BoundingBoxNodeSetGenerator
    new_boundary = noncrack
    bottom_left = '0.5 0 0'
    top_right = '1 0 0'
    input = gen
  [../]
[]

[GlobalParams]
  displacements = 'disp_x disp_y'
[]

[Modules]
  [./PhaseField]
    [./Nonconserved]
      [./c]
        free_energy = F
        kappa = kappa_op
        mobility = L
      [../]
    [../]
  [../]
[]
[Physics]
  [./SolidMechanics]
    [./QuasiStatic]
      [./mech]
        add_variables = true
        strain = SMALL
        additional_generate_output = 'stress_yy'
        save_in = 'resid_x resid_y'
      [../]
    [../]
  [../]
[]

[AuxVariables]
  [./resid_x]
  [../]
  [./resid_y]
  [../]
[]

[Kernels]
  [./solid_x]
    type = PhaseFieldFractureMechanicsOffDiag
    variable = disp_x
    component = 0
    c = c
  [../]
  [./solid_y]
    type = PhaseFieldFractureMechanicsOffDiag
    variable = disp_y
    component = 1
    c = c
  [../]
[]

[BCs]
  [./ydisp]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = top
    function = 't'
  [../]
  [./yfix]
    type = DirichletBC
    variable = disp_y
    boundary = noncrack
    value = 0
  [../]
  [./xfix]
    type = DirichletBC
    variable = disp_x
    boundary = top
    value = 0
  [../]
[]

[Materials]
  [./pfbulkmat]
    type = GenericConstantMaterial
    prop_names = 'gc_prop l visco fracture_pressure'
    prop_values = '1e-3 0.04 1e-4 1e-3'
  [../]
  [./define_mobility]
    type = ParsedMaterial
    material_property_names = 'gc_prop visco'
    property_name = L
    expression = '1.0/(gc_prop * visco)'
  [../]
  [./define_kappa]
    type = ParsedMaterial
    material_property_names = 'gc_prop l'
    property_name = kappa_op
    expression = 'gc_prop * l'
  [../]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    C_ijkl = '120.0 80.0'
    fill_method = symmetric_isotropic
  [../]
  [./damage_stress]
    type = ComputeLinearElasticPFFractureStress
    c = c
    E_name = 'elastic_energy'
    D_name = 'degradation'
    I_name = 'indicator_function'
    F_name = 'local_fracture_energy'
    decomposition_type = strain_spectral
  [../]
  [./degradation]
    type = DerivativeParsedMaterial
    property_name = degradation
    coupled_variables = 'c'
    expression = '(1.0-c)^2*(1.0 - eta) + eta'
    constant_names       = 'eta'
    constant_expressions = '0.0'
    derivative_order = 2
  [../]
  [./indicator_function]
    type = DerivativeParsedMaterial
    property_name = indicator_function
    coupled_variables = 'c'
    expression = 'c'
    derivative_order = 2
  [../]
  [./local_fracture_energy]
    type = DerivativeParsedMaterial
    property_name = local_fracture_energy
    coupled_variables = 'c'
    material_property_names = 'gc_prop l'
    expression = 'c^2 * gc_prop / 2 / l'
    derivative_order = 2
  [../]
  [./fracture_driving_energy]
    type = DerivativeSumMaterial
    coupled_variables = c
    sum_materials = 'elastic_energy local_fracture_energy'
    derivative_order = 2
    property_name = F
  [../]
[]

[Postprocessors]
  [./resid_x]
    type = NodalSum
    variable = resid_x
    boundary = 2
  [../]
  [./resid_y]
    type = NodalSum
    variable = resid_y
    boundary = 2
  [../]
[]

[Preconditioning]
  [./smp]
    type = SMP
    full = true
  [../]
[]

[Executioner]
  type = Transient

  solve_type = PJFNK
  petsc_options_iname = '-pc_type -ksp_gmres_restart -sub_ksp_type -sub_pc_type -pc_asm_overlap'
  petsc_options_value = 'asm      31                  preonly       lu           1'

  nl_rel_tol = 1e-8
  l_max_its = 10
  nl_max_its = 10

  dt = 1e-4
  dtmin = 1e-4
  num_steps = 2
[]

[Outputs]
  exodus = true
[]

(test/tests/utils/2d_linear_interpolation/2d_linear_interpolation_test.i)

# Test description - view this file in emacs and adjust the window size to view the file as it was created.
#
# This problem tests the MOOSE function PiecewiseBilinear and the MOOSE utility BilinearInterpolation, which are
# used to solve 2D linear interpolation problems.
#
# The problem is one element with node coordinate locations in x,y,z space as indicated in the ASCII art:
#
#
#                    ^
#                    |
#                    z
#                    |
#
#                    (1,1,2)        (1,2,2)
#                    *--------------*
#                  / |            / |
#                /   |  (2,2,2) /   |
#       (2,1,2) *--------------*    |
#               |    |         |    |
#               |    *---------|----* (1,2,1)  --y-->
#               |  / (1,1,1)   |  /
#               |/             |/
#               *--------------*
#              / (2,1,1)       (2,2,1)
#            /
#          x
#        /
#      |_
#
#  problem time ...0...1...2
#
#
# There are four variables and four functions of the same name, u,v,w, and A.  The diffusion equation is solved
# for each of these variables with a boundary condition of type FunctionDirchletBC applied to a boundary
# (i.e. node set) that includes every node in the element.  Each boundary condition uses a function of type
# PiecewiseBilinear that gets its value from a file named fred.csv.
#
# fred is a matrix of data whose first row and first column are vectors that can refer to either spacial positions
# corresponding to an axis or values of time.  The remaining data are values of fred for a given row and column pair.
#
#
# Visualize fred like this:
#
#                          0 1 3  where fred is a csv file that actually looks like this    0,1,3
#                        0 0 0 0                                                            0,0,0,0
#                        1 0 1 3                                                            1,0,1,3
#                        3 0 5 7                                                            3,0,5,7
#
#  Another way to think of fred is:
#
#                                   |0 1 3| - These values can be spacial positions corresponding to
#                                             axis= 0,1, or 2, or time
#
#
#                           |0|     |0 0 0|
#     These values can be - |1|     |0 1 3| - values of fred corresponding to row-column pairs
#     time or spacial       |3|     |0 5 7|
#     positions corresponding
#     to axis= 0,1, or 2
#
#
# The parameters and possible values for the function PiecewiseBilinear are:
#
# data_file = fred.csv
# axis = 0, 1, or 2
# xaxis = 0, 1, or 2
# yaxis = 0, 1, or 2
# radial = true or false (false is default)
#
# where 0, 1, or 2 refer to the x, y, or z axis.
#
# If the parameter axis is defined, then the first row of fred are spacial position and the first column
# of fred are the values of time.
#
# If the parameter xaxis is defined, then the first row of fred are spacial positions and the first column
# of fred are the values of time ... just like defining the parameter axis.
#
# If the parameter yaxis is defined, then the first row of fred are time values and the first column of fred
# are spacial positions.
#
# If parameters axis AND EITHER xaxis or yaxis are defined together you'll get a moose error.
# i.e.
# axis = 0
# xaxis = 1
# results in an error.  So, if you use the parameter axis, don't use xaxis or yaxis.
#
# If parameters xaxis and yaxis are defined (and radial is false), then the first row of fred are spacial positions corresponding to xaxis value,
# and the first column are spacial positions corresponding to the yaxis value.
#
# If xaxis and yaxis are defined and radial is true, the first row of fred contains values
# corresponding to the radius calculated from the coordinates of each point.  Note that
# the definition of xaxis and yaxis define the "plane" of the radius.  For example,
# xaxis = 0 and yaxis = 1 means that x and y components of the point are use to
# calculate the radius.  xaxis = 1 and yaxis = 2 means that x and z components are used.
# The first column is for time in this case.  xaxis and yaxis have to be specified and
# radial = true for this to work, otherwise a MOOSE error will result.
# This was developed so that an axisymmetric function could be defined for a 3D mesh.
#
[Mesh]
  file = cube.e
  # This problem only has 1 element, so using DistributedMesh in parallel
  # isn't really an option, and we don't care that much about DistributedMesh
  # in serial.
  parallel_type = replicated
[]

[Variables]

  [./u]
    order = FIRST
    family = LAGRANGE
  [../]
  [./v]
    order = FIRST
    family = LAGRANGE
  [../]
  [./w]
    order = FIRST
    family = LAGRANGE
  [../]
  [./A]
    order = FIRST
    family = LAGRANGE
  [../]
  [./scaled_u]
    order = FIRST
    family = LAGRANGE
  [../]
  [./R]
    order = FIRST
    family = LAGRANGE
  [../]
[]

[Functions]


  [./u]
    type = PiecewiseBilinear
    data_file = fred.csv
    axis = 0
  [../]
#
# Example 1 - variable u
#
# In this example, the first variable is u and the parameter axis is given the value 0.  For such a case, the first
# row of fred refers to nodal x-coordinate values and the first column of fred (after the first row) refers to the
# times 0, 1, and 3.
#
# So, at time = 0, the value of u at each node is 0, because that's the value of fred for all x-coordinate values at time=0.
#
# At time = 1, the value of u at nodes with x-coordinate = 1 is 1.
#            , the value of u at nodes with x-coordinate = 2 is 2.
#
# You can check this value with your own 2D linear interpolation calculation.  Go ahead and check all the examples!
#
# At time = 2, the value of u at nodes with x-coordinate = 1 is 3.
#            , the value of u at nodes with x-coordinate = 2 is 4.
#
  [./v]
    type = PiecewiseBilinear
    data_file = fred.csv
    xaxis = 1
  [../]
#
# Example 2 - variable v
#
# In this example, the variable is v and the parameter xaxis is given the value 1.  For such a case, the first
# row of fred refers to nodal y-coordinate values and the first column of fred (after the first row) refers to the
# times 0, 1, and 3.
#
# At time = 0, the value of v at each node is 0, because that's the value of fred for all y-coordinate values at time=0.
#
# At time = 1, the value of v at nodes with y-coordinate = 1 is 1.
#            , the value of v at nodes with y-coordinate = 2 is 2.
#
# At time = 2, the value of v at nodes with y-coordinate = 1 is 3.
#            , the value of v at nodes with y-coordinate = 2 is 4.
#
  [./w]
    type = PiecewiseBilinear
    data_file = fred.csv
    yaxis = 2
  [../]
#
# Example 3 - variable w
#
# In this example, the variable is w and the parameter yaxis is given the value 2.  For such a case, the first
# row of fred refers to times 0, 1, and 3.  The first column of fred (after the first row) refers to the nodal
# z-coordinate values.
#
# At time = 0, the value of w at each node is 0, because that's the value of fred for all z-coordinate values at time=0.
#
# At time = 1, the value of w at nodes with z-coordinate = 1 is 1.
#            , the value of w at nodes with z-coordinate = 2 is 3.
#
# At time = 2, the value of w at nodes with z-coordinate = 1 is 2.
#            , the value of w at nodes with z-coordinate = 2 is 4.
#
  [./A]
    type = PiecewiseBilinear
    data_file = fred.csv
    xaxis = 0
    yaxis = 1
  [../]
#
# Example 4 - variable A
#
# In this example, the variable is A and the parameters xaxis AND yaxis BOTH defined and given the values 0 and 1 respectivley.
# For such a case, the first row of fred refers to nodal x-coordinate values.
# The first column refers to nodal y-coordinate values.
#
# In this example the values are the same for every time (except time=0 where the values are undefined)
#
# For nodal coordinates with x=1, y=1 A = 1
#                            x=2, y=1 A = 2
#                            x=1, y=2 A = 3
#                            x=2, y=2 A = 4
#
# You can use this 2D linear interpolation function for anything (BC, Kernel, AuxKernel, Material) that has
# a function as one of its parameters.  For example, this can be used to describe the fission peaking factors
# that vary in time and along the length of a fuel rod, or a fission rate distribution in metal fuel that varies
# as a function of x and y postion, but is constant in time.
#
#
  [./scaled_u]
    type = PiecewiseBilinear
    data_file = fred.csv
    axis = 0
    scale_factor = 2
  [../]
#
# Example 5 - variable scaled_u.  This is just a scaled version of Example 1 to see if the scale_factor works
#
#
#
  [./R]
    type = PiecewiseBilinear
    data_file = fred.csv
    xaxis = 0
    yaxis = 1
    radial = true
  [../]
#
# Example 6 - variable R
#
# In this example, the variable is R and the parameters xaxis and yaxis are defined and
# given the values 0 and 1 respectivley.  The parameter radial is also defined and given
# the value true.  In this case, the x and y components of each point are used to
# calculate a radius.  This radius is used in the call to BilinearInterpolation.
# In fred.csv, the first row are the radius values.  The first column is time.
#
# At time = 1, the value of R at nodes with coordinates (x = 1, y = 1, or r = 1.414) is 1.414.
#            , the value of R at nodes with coordinates (x = 1, y = 2, or r = 2.236) is 2.236.
#            , the value of R at nodes with coordinates (x = 2, y = 2, or r = 2.828) is 2.828.
#
# At time = 2, the value of R at nodes with coordinates (x = 1, y = 1, or r = 1.414) is 3.414.
#            , the value of R at nodes with coordinates (x = 1, y = 2, or r = 2.236) is 4.236.
#            , the value of R at nodes with coordinates (x = 2, y = 2, or r = 2.828) is 4.828.
#
# Note that the case of x = 2, y = 1 gives the same result as x = 1, y=2.
#
#
[] # End Functions

[Kernels]

  [./diffu]
    type = Diffusion
    variable = u
  [../]
  [./diffv]
    type = Diffusion
    variable = v
  [../]
  [./diffw]
    type = Diffusion
    variable = w
  [../]
  [./diffA]
    type = Diffusion
    variable = A
  [../]
  [./diff_scaled_u]
    type = Diffusion
    variable = scaled_u
  [../]
  [./diffR]
    type = Diffusion
    variable = R
  [../]
[]

[BCs]

  [./u]
    type = FunctionDirichletBC
    variable = u
    boundary = '1'
    function = u
  [../]
  [./v]
    type = FunctionDirichletBC
    variable = v
    boundary = '1'
    function = v
  [../]
  [./w]
    type = FunctionDirichletBC
    variable = w
    boundary = '1'
    function = w
  [../]
  [./A]
    type = FunctionDirichletBC
    variable = A
    boundary = '1'
    function = A
  [../]
  [./scaled_u]
    type = FunctionDirichletBC
    variable = scaled_u
    boundary = '1'
    function = scaled_u
  [../]
  [./R]
    type = FunctionDirichletBC
    variable = R
    boundary = '1'
    function = R
  [../]
[]

[Executioner]
  type = Transient
  dt = 1
  end_time = 2
  nl_rel_tol = 1e-12
[]

[Outputs]
  file_base = out
  exodus = true
[]

(test/tests/outputs/displacement/displacement_transient_test.i)

[Mesh]
  type = GeneratedMesh
  dim = 2
  xmin = -1
  xmax = 1
  ymin = -1
  ymax = 1
  nx = 5
  ny = 5
  elem_type = QUAD4

  displacements = 'u v'
[]

[Functions]
  [./right_u]
    type = ParsedFunction
    expression = 0.1*t
  [../]

  [./fn_v]
    type = ParsedFunction
    expression = (x+1)*y*0.1*t
  [../]
[]

[Variables]
  [./u]
    order = FIRST
    family = LAGRANGE
  [../]
  [./v]
    order = FIRST
    family = LAGRANGE
  [../]
[]

[Kernels]
  [./td_u]
    type = TimeDerivative
    variable = u
  [../]
  [./diff_u]
    type = Diffusion
    variable = u
  [../]

  [./td_v]
    type = TimeDerivative
    variable = v
  [../]
  [./diff_v]
    type = Diffusion
    variable = v
  [../]
[]

[BCs]
  [./left_u]
    type = DirichletBC
    variable = u
    boundary = 3
    value = 0
  [../]
  [./right_u]
    type = FunctionDirichletBC
    variable = u
    boundary = 1
    function = right_u
  [../]

  [./left_v]
    type = FunctionDirichletBC
    variable = v
    boundary = '0 2'
    function = fn_v
  [../]
[]

[Executioner]
  type = Transient

  dt = 0.1
  start_time = 0
  num_steps = 10


  solve_type = 'PJFNK'
[]

[Outputs]
  [./out_displaced]
    type = Exodus
    use_displaced = true
  [../]
[]

(modules/solid_mechanics/test/tests/tensile/planar5.i)

# A single unit element is stretched by 1E-6m in z direction.
# with Lame lambda = 0.6E6 and Lame mu (shear) = 1E6
# stress_zz = 2.6 Pa
# stress_xx = 0.6 Pa
# stress_yy = 0.6 Pa
# tensile_strength is set to 0.5Pa with cubic hardening to 1Pa at intnl=1E-6
#
# The return should be to a plane (but the algorithm
# will try tip-return first), with, according to mathematica
# plastic_multiplier = 6.655327991E-7
# stress_zz = 0.869613817289
# stress_xx = 0.20068032054

[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]
[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]

[Physics/SolidMechanics/QuasiStatic]
  [./all]
    add_variables = true
    incremental = true
    strain = finite
    generate_output = 'stress_xx stress_xy stress_xz stress_yy stress_yz stress_zz'
  [../]
[]

[BCs]
  [./x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'front back'
    function = '0E-6*x'
  [../]
  [./y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'front back'
    function = '0E-6*y'
  [../]
  [./z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'front back'
    function = '1.0E-6*z'
  [../]
[]

[AuxVariables]
  [./f0]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f1]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f2]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./iter]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./intnl]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]

[AuxKernels]
  [./f0_auxk]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 0
    variable = f0
  [../]
  [./f1_auxk]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 1
    variable = f1
  [../]
  [./f2_auxk]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 2
    variable = f2
  [../]
  [./iter]
    type = MaterialRealAux
    property = plastic_NR_iterations
    variable = iter
  [../]
  [./intnl_auxk]
    type = MaterialStdVectorAux
    property = plastic_internal_parameter
    index = 0
    variable = intnl
  [../]
[]

[Postprocessors]
  [./s_xx]
    type = PointValue
    point = '0 0 0'
    variable = stress_xx
  [../]
  [./s_xy]
    type = PointValue
    point = '0 0 0'
    variable = stress_xy
  [../]
  [./s_xz]
    type = PointValue
    point = '0 0 0'
    variable = stress_xz
  [../]
  [./s_yy]
    type = PointValue
    point = '0 0 0'
    variable = stress_yy
  [../]
  [./s_yz]
    type = PointValue
    point = '0 0 0'
    variable = stress_yz
  [../]
  [./s_zz]
    type = PointValue
    point = '0 0 0'
    variable = stress_zz
  [../]
  [./f0]
    type = PointValue
    point = '0 0 0'
    variable = f0
  [../]
  [./f1]
    type = PointValue
    point = '0 0 0'
    variable = f1
  [../]
  [./f2]
    type = PointValue
    point = '0 0 0'
    variable = f2
  [../]
  [./iter]
    type = PointValue
    point = '0 0 0'
    variable = iter
  [../]
  [./intnl]
    type = PointValue
    point = '0 0 0'
    variable = intnl
  [../]
[]

[UserObjects]
  [./hard]
    type = SolidMechanicsHardeningCubic
    value_0 = 0.5
    value_residual = 1
    internal_limit = 1E-6
  [../]
  [./tens]
    type = SolidMechanicsPlasticTensileMulti
    tensile_strength = hard
    shift = 1E-6
    yield_function_tolerance = 1E-6
    internal_constraint_tolerance = 1E-5
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    block = 0
    fill_method = symmetric_isotropic
    C_ijkl = '0.6E6 1E6'
  [../]
  [./mc]
    type = ComputeMultiPlasticityStress
    block = 0
    ep_plastic_tolerance = 1E-12
    plastic_models = tens
    debug_fspb = none
    debug_jac_at_stress = '1 2 3 2 -4 -5 3 -5 10'
    debug_jac_at_pm = '0.1 0.2 0.3'
    debug_jac_at_intnl = 1E-6
    debug_stress_change = 1E-6
    debug_pm_change = '1E-6 1E-6 1E-6'
    debug_intnl_change = 1E-6
  [../]
[]


[Executioner]
  end_time = 1
  dt = 1
  type = Transient
[]


[Outputs]
  file_base = planar5
  exodus = false
  [./csv]
    type = CSV
    [../]
[]

(modules/navier_stokes/test/tests/finite_element/ins/velocity_channel/velocity_inletBC_no_parts.i)

# This input file tests outflow boundary conditions for the incompressible NS equations.

[GlobalParams]
  gravity = '0 0 0'
  integrate_p_by_parts = false
[]

[Mesh]
  [gen]
    type = GeneratedMeshGenerator
    dim = 2
    xmin = 0
    xmax = 3.0
    ymin = 0
    ymax = 1.0
    nx = 30
    ny = 10
    elem_type = QUAD9
  []
  [./corner_node]
    type = ExtraNodesetGenerator
    new_boundary = top_right
    coord = '3 1'
    input = gen
  [../]
[]


[Variables]
  [./vel_x]
    order = SECOND
    family = LAGRANGE
  [../]
  [./vel_y]
    order = SECOND
    family = LAGRANGE
  [../]
  [./p]
    order = FIRST
    family = LAGRANGE
  [../]
[]

[Kernels]
  [./mass]
    type = INSMass
    variable = p
    u = vel_x
    v = vel_y
    pressure = p
  [../]
  [./x_momentum_space]
    type = INSMomentumLaplaceForm
    variable = vel_x
    u = vel_x
    v = vel_y
    pressure = p
    component = 0
  [../]
  [./y_momentum_space]
    type = INSMomentumLaplaceForm
    variable = vel_y
    u = vel_x
    v = vel_y
    pressure = p
    component = 1
  [../]
[]

[BCs]
  [./x_no_slip]
    type = DirichletBC
    variable = vel_x
    boundary = 'top bottom'
    value = 0.0
  [../]
  [./y_no_slip]
    type = DirichletBC
    variable = vel_y
    boundary = 'left top bottom'
    value = 0.0
  [../]
  [./x_inlet]
    type = FunctionDirichletBC
    variable = vel_x
    boundary = 'left'
    function = 'inlet_func'
  [../]
  [./p_corner]
    # Since the pressure is not integrated by parts in this example,
    # it is only specified up to a constant by the natural outflow BC.
    # Therefore, we need to pin its value at a single location.
    type = DirichletBC
    boundary = top_right
    value = 0
    variable = p
  [../]
[]

[Materials]
  [./const]
    type = GenericConstantMaterial
    block = 0
    prop_names = 'rho mu'
    prop_values = '1  1'
  [../]
[]

[Preconditioning]
  [./SMP_PJFNK]
    type = SMP
    full = true
    solve_type = NEWTON
  [../]
[]

[Executioner]
  type = Steady
  petsc_options_iname = '-ksp_gmres_restart -pc_type -sub_pc_type -sub_pc_factor_levels'
  petsc_options_value = '300                bjacobi  ilu          4'
  line_search = none
  nl_rel_tol = 1e-12
  nl_max_its = 6
  l_tol = 1e-6
  l_max_its = 300
[]

[Outputs]
  [./out]
    type = Exodus
  [../]
[]

[Functions]
  [./inlet_func]
    type = ParsedFunction
    expression = '-4 * (y - 0.5)^2 + 1'
  [../]
[]

(modules/solid_mechanics/test/tests/weak_plane_tensile/small_deform_hard3.i)

# Checking evolution tensile strength
# A single element is stretched by 1E-6*t in z direction, and
# the yield-surface evolution is mapped out
[GlobalParams]
  displacements = 'x_disp y_disp z_disp'
[]

[Mesh]
  type = GeneratedMesh
  dim = 3
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]

[Physics/SolidMechanics/QuasiStatic/all]
  strain = FINITE
  add_variables = true
  generate_output = 'stress_zz'
[]

[BCs]
  [bottomx]
    type = DirichletBC
    variable = x_disp
    boundary = back
    value = 0.0
  []
  [bottomy]
    type = DirichletBC
    variable = y_disp
    boundary = back
    value = 0.0
  []
  [bottomz]
    type = DirichletBC
    variable = z_disp
    boundary = back
    value = 0.0
  []

  [topx]
    type = DirichletBC
    variable = x_disp
    boundary = front
    value = 0
  []
  [topy]
    type = DirichletBC
    variable = y_disp
    boundary = front
    value = 0
  []
  [topz]
    type = FunctionDirichletBC
    variable = z_disp
    boundary = front
    function = 1E-6*t
  []
[]

[AuxVariables]
  [wpt_internal]
    order = CONSTANT
    family = MONOMIAL
  []
  [yield_fcn]
    order = CONSTANT
    family = MONOMIAL
  []
[]

[AuxKernels]
  [wpt_internal]
    type = MaterialStdVectorAux
    property = plastic_internal_parameter
    index = 0
    variable = wpt_internal
  []
  [yield_fcn_auxk]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 0
    variable = yield_fcn
  []
[]

[Postprocessors]
  [wpt_internal]
    type = PointValue
    point = '0 0 0'
    variable = wpt_internal
  []
  [s_zz]
    type = PointValue
    point = '0 0 0'
    variable = stress_zz
  []
  [f]
    type = PointValue
    point = '0 0 0'
    variable = yield_fcn
  []
[]

[UserObjects]
  [str]
    type = SolidMechanicsHardeningExponential
    value_0 = 10
    value_residual = 4
    rate = 1E6
  []
  [wpt]
    type = SolidMechanicsPlasticWeakPlaneTensile
    tensile_strength = str
    yield_function_tolerance = 1E-6
    internal_constraint_tolerance = 1E-11
  []
[]

[Materials]
  [elasticity_tensor]
    type = ComputeElasticityTensor
    fill_method = symmetric_isotropic
    C_ijkl = '0 1E7'
  []
  [mc]
    type = ComputeMultiPlasticityStress
    plastic_models = wpt
    transverse_direction = '0 0 1'
    ep_plastic_tolerance = 1E-11
  []
[]


[Executioner]
  end_time = 4
  dt = 0.5
  type = Transient
[]

[Outputs]
  csv = true
[]

(modules/xfem/test/tests/moment_fitting/diffusion_moment_fitting_six_points.i)

# Test for a diffusion problem which uses six points moment_fitting approach.
# To use six points rule, add Quadrature block with order = FOURTH and type = MONOMIAL.
# See this paper (https://doi.org/10.1007/s00466-018-1544-2) for more details about moment_fitting approach.

[GlobalParams]
  order = FIRST
  family = LAGRANGE
[]

[Mesh]
  type = GeneratedMesh
  dim = 2
  nx = 5
  ny = 6
  xmin = 0.0
  xmax = 1.0
  ymin = 0.0
  ymax = 1.0
  elem_type = QUAD4
[]

[XFEM]
  geometric_cut_userobjects = 'line_seg_cut_uo'
  qrule = moment_fitting
  output_cut_plane = true
[]

[UserObjects]
  [./line_seg_cut_uo]
    type = LineSegmentCutUserObject
    cut_data = '0.5 1.0 0.5 0.5'
    time_start_cut = 0.0
    time_end_cut = 0.0
  [../]
[]

[Variables]
  [./u]
  [../]
[]

[Functions]
  [./u_left]
    type = PiecewiseLinear
    x = '0   2'
    y = '0  0.1'
  [../]
[]

[Kernels]
  [./diff]
    type = Diffusion
    variable = u
  [../]
[]

[BCs]
# Define boundary conditions
  [./left_u]
    type = FunctionDirichletBC
    variable = u
    boundary = 3
    function = u_left
  [../]

  [./right_u]
    type = DirichletBC
    variable = u
    boundary = 1
    value = 0
  [../]
[]

[Executioner]
  type = Transient
  solve_type = 'PJFNK'
  petsc_options_iname = '-pc_type -pc_hypre_type'
  petsc_options_value = 'hypre boomeramg'
  line_search = 'none'

  [./Quadrature]
    order = FOURTH
    type = MONOMIAL
  [../]

  l_tol = 1e-3
  nl_max_its = 15
  nl_rel_tol = 1e-10
  nl_abs_tol = 1e-10

  start_time = 0.0
  dt = 1.0
  end_time = 2.0
[]

[Outputs]
  time_step_interval = 1
  execute_on = timestep_end
  exodus = true
  [./console]
    type = Console
    output_linear = true
  [../]
[]

(modules/combined/test/tests/fdp_geometric_coupling/fdp_geometric_coupling.i)

[Mesh]
  file = twoBlocksContactDiceSecondary2OffsetGap.e
[]

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
  volumetric_locking_correction = true
[]

[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
  [./temp]
    initial_condition = 100.0
  [../]
[]

[Functions]
  [./pressure]
    type = PiecewiseLinear
    x = '0 1 2'
    y = '0 1 1'
    scale_factor = 10.0
  [../]

  [./tempFunc]
    type = PiecewiseLinear
    x = '0. 3.'
    y = '100.0 440.0'
  [../]
[]

[Physics/SolidMechanics/QuasiStatic]
  [./block1]
    block = 1
    volumetric_locking_correction = true
    incremental = true
    strain = FINITE
    eigenstrain_names = 'thermal_expansion1'
    decomposition_method = EigenSolution
    temperature = temp
  [../]
  [./block2]
    block = 2
    volumetric_locking_correction = true
    incremental = true
    strain = FINITE
    eigenstrain_names = 'thermal_expansion2'
    decomposition_method = EigenSolution
    temperature = temp
  [../]
[]

[Kernels]
  [./heat]
    type = HeatConduction
    variable = temp
  [../]
[]

[BCs]
  [./left_right_x]
    type = DirichletBC
    variable = disp_x
    boundary = '1 4'
    value = 0.0
  [../]

  [./left_right_y]
    type = DirichletBC
    variable = disp_y
    boundary = '1 4'
    value = 0.0
  [../]

  [./left_right_z]
    type = DirichletBC
    variable = disp_z
    boundary = '1 4'
    value = 0.0
  [../]

  [./temp]
    type = FunctionDirichletBC
    variable = temp
    boundary = '2 3'
    function = tempFunc
  [../]
[]

[Contact]
  [./dummy_name]
    primary = 2
    secondary = 3
    penalty = 1e8
  [../]
[]

[Materials]

  [./elasticity_tensor]
    type = ComputeIsotropicElasticityTensor
    block = '1 2'
    youngs_modulus = 1e6
    poissons_ratio = 0.0
  [../]

  [./stress1]
    type = ComputeFiniteStrainElasticStress
    block = '1 2'
  [../]

  [./thermal_expansion1]
    type = ComputeThermalExpansionEigenstrain
    block = 1
    thermal_expansion_coeff = 1e-4
    stress_free_temperature = 100.0
    temperature = temp
    eigenstrain_name = thermal_expansion1
  [../]

  [./thermal_expansion2]
    type = ComputeThermalExpansionEigenstrain
    block = 2
    thermal_expansion_coeff = 1e-5
    stress_free_temperature = 100.0
    temperature = temp
    eigenstrain_name = thermal_expansion2
  [../]

  [./heat]
    type = HeatConductionMaterial
    block = '1 2'
    specific_heat = 1.0
    thermal_conductivity = 1.0
  [../]

  [./density]
    type = Density
    block = '1 2'
    density = 1.0
  [../]
[]

[Preconditioning]
  [./FDP]
    type = FDP
    full = true
    implicit_geometric_coupling = true
  [../]
[]

[Executioner]
  type = Transient
  solve_type = 'PJFNK'

  petsc_options_iname = '-pc_type -mat_fd_coloring_err -mat_fd_type'
  petsc_options_value = 'lu       1e-8                 ds'

  nl_rel_tol = 1e-10

  l_max_its = 5
  nl_max_its = 3
  dt = 5.0e-1
  num_steps = 2
[]

[Outputs]
  file_base = fdp_geometric_coupling_out
  exodus = true
[]

(modules/solid_mechanics/test/tests/lagrangian/cartesian/total/convergence/1D/dirichlet.i)

# Simple 1D plane strain test

[GlobalParams]
  displacements = 'disp_x'
  large_kinematics = true
[]

[Variables]
  [disp_x]
  []
[]

[Mesh]
  [msh]
    type = GeneratedMeshGenerator
    dim = 1
    nx = 10
  []
[]

[Kernels]
  [sdx]
    type = TotalLagrangianStressDivergence
    variable = disp_x
    component = 0
  []
[]

[Functions]
  [pull]
    type = ParsedFunction
    expression = '0.06 * t'
  []
[]

[BCs]
  [leftx]
    type = DirichletBC
    preset = true
    boundary = right
    variable = disp_x
    value = 0.0
  []
  [pull]
    type = FunctionDirichletBC
    boundary = left
    variable = disp_x
    function = pull
    preset = true
  []
[]

[Materials]
  [elastic_tensor]
    type = ComputeIsotropicElasticityTensor
    youngs_modulus = 100000.0
    poissons_ratio = 0.3
  []
  [compute_stress]
    type = ComputeLagrangianLinearElasticStress
  []
  [compute_strain]
    type = ComputeLagrangianStrain
  []
[]

[Preconditioning]
  [smp]
    type = SMP
    full = true
  []
[]

[Executioner]
  type = Transient

  solve_type = 'newton'
  line_search = none

  petsc_options_iname = '-pc_type'
  petsc_options_value = 'lu'

  l_max_its = 2
  l_tol = 1e-14
  nl_max_its = 15
  nl_rel_tol = 1e-8
  nl_abs_tol = 1e-10

  start_time = 0.0
  dt = 1.0
  dtmin = 1.0
  end_time = 5.0
[]

[Postprocessors]
  [nonlin]
    type = NumNonlinearIterations
  []
[]

[Outputs]
  exodus = false
  csv = true
[]

(modules/solid_mechanics/examples/coal_mining/cosserat_mc_wp.i)

# Strata deformation and fracturing around a coal mine
#
# A 2D geometry is used that simulates a transverse section of
# the coal mine.  The model is actually 3D, but the "x"
# dimension is only 10m long, meshed with 1 element, and
# there is no "x" displacement.  The mine is 300m deep
# and just the roof is studied (0<=z<=300).  The model sits
# between 0<=y<=450.  The excavation sits in 0<=y<=150.  This
# is a "half model": the boundary conditions are such that
# the model simulates an excavation sitting in -150<=y<=150
# inside a model of the region -450<=y<=450.  The
# excavation height is 3m (ie, the excavation lies within
# 0<=z<=3).  Mining is simulated by moving the excavation's
# roof down, until disp_z=-3 at t=1.
# Time is meaningless in this example
# as quasi-static solutions are sought at each timestep, but
# the number of timesteps controls the resolution of the
# process.
#
# The boundary conditions are:
#  - disp_x = 0 everywhere
#  - disp_y = 0 at y=0 and y=450
#  - disp_z = 0 for y>150
#  - disp_z = -3 at maximum, for 0<=y<=150.  See excav function.
# That is, rollers on the sides, free at top, and prescribed at bottom.
#
# The small strain formulation is used.
#
# All stresses are measured in MPa.  The initial stress is consistent with
# the weight force from density 2500 kg/m^3, ie, stress_zz = -0.025*(300-z) MPa
# where gravity = 10 m.s^-2 = 1E-5 MPa m^2/kg.  The maximum and minimum
# principal horizontal stresses are assumed to be equal to 0.8*stress_zz.
#
# Material properties:
# Young's modulus = 8 GPa
# Poisson's ratio = 0.25
# Cosserat layer thickness = 1 m
# Cosserat-joint normal stiffness = large
# Cosserat-joint shear stiffness = 1 GPa
# MC cohesion = 3 MPa
# MC friction angle = 37 deg
# MC dilation angle = 8 deg
# MC tensile strength = 1 MPa
# MC compressive strength = 100 MPa, varying down to 1 MPa when tensile strain = 1
# WeakPlane cohesion = 0.1 MPa
# WeakPlane friction angle = 30 deg
# WeakPlane dilation angle = 10 deg
# WeakPlane tensile strength = 0.1 MPa
# WeakPlane compressive strength = 100 MPa softening to 1 MPa at strain = 1
#
[Mesh]
  [generated_mesh]
    type = GeneratedMeshGenerator
    dim = 3
    nx = 1
    xmin = -5
    xmax = 5
    nz = 40
    zmin = 0
    zmax = 400.0
    bias_z = 1.1
    ny = 30 # make this a multiple of 3, so y=150 is at a node
    ymin = 0
    ymax = 450
  []
  [left]
    type = SideSetsAroundSubdomainGenerator
    new_boundary = 11
    normal = '0 -1 0'
    input = generated_mesh
  []
  [right]
    type = SideSetsAroundSubdomainGenerator
    new_boundary = 12
    normal = '0 1 0'
    input = left
  []
  [front]
    type = SideSetsAroundSubdomainGenerator
    new_boundary = 13
    normal = '-1 0 0'
    input = right
  []
  [back]
    type = SideSetsAroundSubdomainGenerator
    new_boundary = 14
    normal = '1 0 0'
    input = front
  []
  [top]
    type = SideSetsAroundSubdomainGenerator
    new_boundary = 15
    normal = '0 0 1'
    input = back
  []
  [bottom]
    type = SideSetsAroundSubdomainGenerator
    new_boundary = 16
    normal = '0 0 -1'
    input = top
  []
  [excav]
    type = SubdomainBoundingBoxGenerator
    block_id = 1
    bottom_left = '-5 0 0'
    top_right = '5 150 3'
    input = bottom
  []
  [roof]
    type = SideSetsBetweenSubdomainsGenerator
    new_boundary = 21
    primary_block = 0
    paired_block = 1
    input = excav
  []
  [hole]
    type = BlockDeletionGenerator
    block = 1
    input = roof
  []
[]

[GlobalParams]
  block = 0
  perform_finite_strain_rotations = false
  displacements = 'disp_x disp_y disp_z'
  Cosserat_rotations = 'wc_x wc_y wc_z'
[]

[Variables]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
  [./wc_x]
  [../]
[]

[Kernels]
  [./cy_elastic]
    type = CosseratStressDivergenceTensors
    use_displaced_mesh = false
    variable = disp_y
    component = 1
  [../]
  [./cz_elastic]
    type = CosseratStressDivergenceTensors
    use_displaced_mesh = false
    variable = disp_z
    component = 2
  [../]
  [./x_couple]
    type = StressDivergenceTensors
    use_displaced_mesh = false
    variable = wc_x
    displacements = 'wc_x wc_y wc_z'
    component = 0
    base_name = couple
  [../]
  [./x_moment]
    type = MomentBalancing
    use_displaced_mesh = false
    variable = wc_x
    component = 0
  [../]
  [./gravity]
    type = Gravity
    use_displaced_mesh = false
    variable = disp_z
    value = -10E-6
  [../]
[]


[AuxVariables]
  [./disp_x]
  [../]
  [./wc_y]
  [../]
  [./wc_z]
  [../]
  [./stress_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./mc_shear]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./mc_tensile]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./wp_shear]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./wp_tensile]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./wp_shear_f]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./wp_tensile_f]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./mc_shear_f]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./mc_tensile_f]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]

[AuxKernels]
  [./stress_xx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xx
    index_i = 0
    index_j = 0
  [../]
  [./stress_yy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yy
    index_i = 1
    index_j = 1
  [../]
  [./stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zz
    index_i = 2
    index_j = 2
  [../]
  [./mc_shear]
    type = MaterialStdVectorAux
    index = 0
    property = mc_plastic_internal_parameter
    variable = mc_shear
  [../]
  [./mc_tensile]
    type = MaterialStdVectorAux
    index = 1
    property = mc_plastic_internal_parameter
    variable = mc_tensile
  [../]
  [./wp_shear]
    type = MaterialStdVectorAux
    index = 0
    property = wp_plastic_internal_parameter
    variable = wp_shear
  [../]
  [./wp_tensile]
    type = MaterialStdVectorAux
    index = 1
    property = wp_plastic_internal_parameter
    variable = wp_tensile
  [../]
  [./mc_shear_f]
    type = MaterialStdVectorAux
    index = 6
    property = mc_plastic_yield_function
    variable = mc_shear_f
  [../]
  [./mc_tensile_f]
    type = MaterialStdVectorAux
    index = 0
    property = mc_plastic_yield_function
    variable = mc_tensile_f
  [../]
  [./wp_shear_f]
    type = MaterialStdVectorAux
    index = 0
    property = wp_plastic_yield_function
    variable = wp_shear_f
  [../]
  [./wp_tensile_f]
    type = MaterialStdVectorAux
    index = 1
    property = wp_plastic_yield_function
    variable = wp_tensile_f
  [../]
[]



[BCs]
  [./no_y]
    type = DirichletBC
    variable = disp_y
    boundary = '11 12 16 21' # note addition of 16 and 21
    value = 0.0
  [../]
  [./no_z]
    type = DirichletBC
    variable = disp_z
    boundary = '16'
    value = 0.0
  [../]
  [./no_wc_x]
    type = DirichletBC
    variable = wc_x
    boundary = '11 12'
    value = 0.0
  [../]
  [./roof]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 21
    function = excav_sideways
  [../]
[]

[Functions]
  [./ini_xx]
    type = ParsedFunction
    expression = '-0.8*2500*10E-6*(400-z)'
  [../]
  [./ini_zz]
    type = ParsedFunction
    expression = '-2500*10E-6*(400-z)'
  [../]
  [./excav_sideways]
    type = ParsedFunction
    symbol_names = 'end_t ymin ymax  e_h  closure_dist'
    symbol_values = '1.0   0    150.0 -3.0 15.0'
    expression = 'e_h*max(min((min(t/end_t,1)*(ymax-ymin)+ymin-y)/closure_dist,1),0)'
  [../]
  [./excav_downwards]
    type = ParsedFunction
    symbol_names = 'end_t ymin ymax  e_h  closure_dist'
    symbol_values = '1.0   0    150.0 -3.0 15.0'
    expression = 'e_h*min(t/end_t,1)*max(min(((ymax-ymin)+ymin-y)/closure_dist,1),0)'
  [../]
[]

[UserObjects]
  [./mc_coh_strong_harden]
    type = SolidMechanicsHardeningExponential
    value_0 = 2.99 # MPa
    value_residual = 3.01 # MPa
    rate = 1.0
  [../]
  [./mc_fric]
    type = SolidMechanicsHardeningConstant
    value = 0.65 # 37deg
  [../]
  [./mc_dil]
    type = SolidMechanicsHardeningConstant
    value = 0.15 # 8deg
  [../]

  [./mc_tensile_str_strong_harden]
    type = SolidMechanicsHardeningExponential
    value_0 = 1.0 # MPa
    value_residual = 1.0 # MPa
    rate = 1.0
  [../]
  [./mc_compressive_str]
    type = SolidMechanicsHardeningCubic
    value_0 = 100 # Large!
    value_residual = 100
    internal_limit = 0.1
  [../]

  [./wp_coh_harden]
    type = SolidMechanicsHardeningCubic
    value_0 = 0.1
    value_residual = 0.1
    internal_limit = 10
  [../]
  [./wp_tan_fric]
    type = SolidMechanicsHardeningConstant
    value = 0.36 # 20deg
  [../]
  [./wp_tan_dil]
    type = SolidMechanicsHardeningConstant
    value = 0.18 # 10deg
  [../]

  [./wp_tensile_str_harden]
    type = SolidMechanicsHardeningCubic
    value_0 = 0.1
    value_residual = 0.1
    internal_limit = 10
  [../]
  [./wp_compressive_str_soften]
    type = SolidMechanicsHardeningCubic
    value_0 = 100
    value_residual = 1
    internal_limit = 1.0
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeLayeredCosseratElasticityTensor
    young = 8E3 # MPa
    poisson = 0.25
    layer_thickness = 1.0
    joint_normal_stiffness = 1E9 # huge
    joint_shear_stiffness = 1E3
  [../]

  [./strain]
    type = ComputeCosseratIncrementalSmallStrain
    eigenstrain_names = ini_stress
  [../]
  [./ini_stress]
    type = ComputeEigenstrainFromInitialStress
    initial_stress = 'ini_xx 0 0  0 ini_xx 0  0 0 ini_zz'
    eigenstrain_name = ini_stress
  [../]

  [./stress]
    type = ComputeMultipleInelasticCosseratStress
    block = 0
    inelastic_models = 'mc wp'
    cycle_models = true
    relative_tolerance = 2.0
    absolute_tolerance = 1E6
    max_iterations = 1
    tangent_operator = nonlinear
    perform_finite_strain_rotations = false
  [../]
  [./mc]
    type = CappedMohrCoulombCosseratStressUpdate
    block = 0
    warn_about_precision_loss = false
    host_youngs_modulus = 8E3
    host_poissons_ratio = 0.25
    base_name = mc
    tensile_strength = mc_tensile_str_strong_harden
    compressive_strength = mc_compressive_str
    cohesion = mc_coh_strong_harden
    friction_angle = mc_fric
    dilation_angle = mc_dil
    max_NR_iterations = 10000
    smoothing_tol = 0.1 # MPa  # Must be linked to cohesion
    yield_function_tol = 1E-9 # MPa.  this is essentially the lowest possible without lots of precision loss
    perfect_guess = true
    min_step_size = 1.0
  [../]
  [./wp]
    type = CappedWeakPlaneCosseratStressUpdate
    block = 0
    warn_about_precision_loss = false
    base_name = wp
    cohesion = wp_coh_harden
    tan_friction_angle = wp_tan_fric
    tan_dilation_angle = wp_tan_dil
    tensile_strength = wp_tensile_str_harden
    compressive_strength = wp_compressive_str_soften
    max_NR_iterations = 10000
    tip_smoother = 0.1
    smoothing_tol = 0.1 # MPa  # Note, this must be tied to cohesion, otherwise get no possible return at cone apex
    yield_function_tol = 1E-11 # MPa.  this is essentially the lowest possible without lots of precision loss
    perfect_guess = true
    min_step_size = 1.0
  [../]


  [./density]
    type = GenericConstantMaterial
    prop_names = density
    prop_values = 2500
  [../]
[]

[Postprocessors]
  [./subsidence]
    type = PointValue
    point = '0 0 400'
    variable = disp_z
    use_displaced_mesh = false
  [../]
[]
[Preconditioning]
  [./SMP]
    type = SMP
    full = true
  []
[]

[Executioner]
  type = Transient

  solve_type = 'NEWTON'

  petsc_options = '-snes_converged_reason'
  petsc_options_iname = '-pc_type -pc_asm_overlap -sub_pc_type -ksp_type -ksp_gmres_restart'
  petsc_options_value = ' asm      2              lu            gmres     200'

  line_search = bt

  nl_abs_tol = 1e-3
  nl_rel_tol = 1e-5

  l_max_its = 30
  nl_max_its = 1000

  start_time = 0.0
  dt = 0.2
  end_time = 0.2

[]

[Outputs]
  file_base = cosserat_mc_wp
  time_step_interval = 1
  print_linear_residuals = false
  csv = true
  exodus = true
  [./console]
    type = Console
    output_linear = false
  [../]
[]

(modules/solid_mechanics/test/tests/1D_axisymmetric/axisymmetric_gps_finite.i)

#
# This test checks the generalized plane strain using finite strain formulation.
# since we constrain all the nodes against movement and the applied thermal strain
# is very small, the results are the same as small and incremental small strain formulations
#

[GlobalParams]
  displacements = disp_x
  scalar_out_of_plane_strain = scalar_strain_yy
[]

[Problem]
  coord_type = RZ
[]

[Mesh]
  file = lines.e
[]

[Variables]
  [disp_x]
  []
  [temp]
    initial_condition = 580.0
  []
  [scalar_strain_yy]
    order = FIRST
    family = SCALAR
  []
[]

[Functions]
  [temp100]
    type = PiecewiseLinear
    x = '0   1'
    y = '580 680'
  []
  [temp300]
    type = PiecewiseLinear
    x = '0   1'
    y = '580 880'
  []
[]

[Kernels]
  [heat]
    type = Diffusion
    variable = temp
  []
[]

[Physics/SolidMechanics/QuasiStatic]
  [gps]
    planar_formulation = GENERALIZED_PLANE_STRAIN
    scalar_out_of_plane_strain = scalar_strain_yy
    strain = FINITE
    generate_output = 'strain_xx strain_yy strain_zz stress_xx stress_yy stress_zz'
    eigenstrain_names = eigenstrain
    temperature = temp
  []
[]

[BCs]
  [no_x]
    type = DirichletBC
    boundary = 1000
    value = 0
    variable = disp_x
  []
  [temp100]
    type = FunctionDirichletBC
    variable = temp
    function = temp100
    boundary = 2
  []
  [temp300]
    type = FunctionDirichletBC
    variable = temp
    function = temp300
    boundary = 3
  []
[]

[Materials]
  [elasticity_tensor]
    type = ComputeIsotropicElasticityTensor
    youngs_modulus = 3600
    poissons_ratio = 0.2
  []

  [thermal_strain]
    type = ComputeThermalExpansionEigenstrain
    thermal_expansion_coeff = 1e-8
    temperature = temp
    stress_free_temperature = 580
    eigenstrain_name = eigenstrain
  []

  [stress]
    type = ComputeFiniteStrainElasticStress
  []
[]

[Executioner]
  type = Transient
  solve_type = 'PJFNK'
  line_search = 'none'

  l_max_its = 50
  l_tol = 1e-08
  nl_max_its = 15
  nl_abs_tol = 1e-10
  start_time = 0
  end_time = 1
  num_steps = 1
[]

[Outputs]
  exodus = true
  console = true
[]

(modules/contact/test/tests/mortar_aux_kernels/block-dynamics-aux-fretting-wear-test-projection_angle.i)

starting_point = 0.5e-1
offset = -0.045

[GlobalParams]
  displacements = 'disp_x disp_y'
[]

[Mesh]
  file = long-bottom-block-1elem-blocks-multiple-projections-lowerd.e
[]

[Variables]
  [disp_x]
    block = '1 2'
  []
  [disp_y]
    block = '1 2'
  []
  [normal_lm]
    block = 3
    use_dual = true
  #  scaling = 1.0e-5
  []
  [frictional_lm]
    block = 3
    use_dual = true
  #  scaling = 1.0e-5
  []
[]

[ICs]
  [disp_y]
    block = 2
    variable = disp_y
    value = '${fparse starting_point + offset}'
    type = ConstantIC
  []
[]

[Kernels]
  [DynamicTensorMechanics]
    displacements = 'disp_x disp_y'
    generate_output = 'stress_xx stress_yy'
    strain = FINITE
    block = '1 2'
    stiffness_damping_coefficient = 1.0
    hht_alpha = 0.0
  []
  [inertia_x]
    type = InertialForce
    variable = disp_x
    velocity = vel_x
    acceleration = accel_x
    beta = 0.25
    gamma = 0.5
    alpha = 0
    eta = 0.0
    block = '1 2'
  []
  [inertia_y]
    type = InertialForce
    variable = disp_y
    velocity = vel_y
    acceleration = accel_y
    beta = 0.25
    gamma = 0.5
    alpha = 0
    eta = 0.0
    block = '1 2'
  []
[]

[Materials]
  [elasticity_2]
    type = ComputeIsotropicElasticityTensor
    block = '2'
    youngs_modulus = 1e6
    poissons_ratio = 0.3
  []
  [elasticity_1]
    type = ComputeIsotropicElasticityTensor
    block = '1'
    youngs_modulus = 1e8
    poissons_ratio = 0.3
  []
  [stress]
    type = ComputeFiniteStrainElasticStress
    block = '1 2'
  []
  [strain]
    type = ComputeFiniteStrain
    block = '1 2'
  []
  [density]
    type = GenericConstantMaterial
    block = '1 2'
    prop_names = 'density'
    prop_values = '7750'
  []
[]

[AuxVariables]
  [worn_depth]
    block = '3'
  []
  [gap_vel]
    block = '3'
  []
  [vel_x]
    block = '1 2'
  []
  [accel_x]
    block = '1 2'
  []
  [vel_y]
    block = '1 2'
  []
  [accel_y]
    block = '1 2'
  []
  [vel_z]
    block = '1 2'
  []
  [accel_z]
    block = '1 2'
  []
[]

[AuxKernels]
  [gap_vel]
    type = WeightedGapVelAux
    variable = gap_vel
    primary_boundary = 20
    secondary_boundary = 10
    primary_subdomain = 4
    secondary_subdomain = 3
    disp_x = disp_x
    disp_y = disp_y
    debug_mesh = true
    minimum_projection_angle = 0.0
  []
  [worn_depth]
    type = MortarArchardsLawAux
    variable = worn_depth
    primary_boundary = 20
    secondary_boundary = 10
    primary_subdomain = 4
    secondary_subdomain = 3
    displacements = 'disp_x disp_y'
    friction_coefficient = 0.5
    energy_wear_coefficient = 1.0e-6
    normal_pressure = normal_lm
    execute_on = 'TIMESTEP_END'
    debug_mesh = true
    minimum_projection_angle = 0.0
  []
  [accel_x]
    type = NewmarkAccelAux
    variable = accel_x
    displacement = disp_x
    velocity = vel_x
    beta = 0.25
    execute_on = 'linear timestep_end'
  []
  [vel_x]
    type = NewmarkVelAux
    variable = vel_x
    acceleration = accel_x
    gamma = 0.5
    execute_on = 'linear timestep_end'
  []
  [accel_y]
    type = NewmarkAccelAux
    variable = accel_y
    displacement = disp_y
    velocity = vel_y
    beta = 0.25
    execute_on = 'linear timestep_end'
  []
  [vel_y]
    type = NewmarkVelAux
    variable = vel_y
    acceleration = accel_y
    gamma = 0.5
    execute_on = 'linear timestep_end'
  []
[]

[UserObjects]
  [weighted_vel_uo]
    type = LMWeightedVelocitiesUserObject
    primary_boundary = 20
    secondary_boundary = 10
    primary_subdomain = 4
    secondary_subdomain = 3
    secondary_variable = disp_x
    lm_variable_normal = normal_lm
    lm_variable_tangential_one = frictional_lm
    disp_x = disp_x
    disp_y = disp_y
    debug_mesh = true
  []
[]

[Constraints]
  [weighted_gap_lm]
    type = ComputeDynamicFrictionalForceLMMechanicalContact
    primary_boundary = 20
    secondary_boundary = 10
    primary_subdomain = 4
    secondary_subdomain = 3
    variable = normal_lm
    disp_x = disp_x
    disp_y = disp_y
    use_displaced_mesh = true
    wear_depth = worn_depth
    c = 1e6
    c_t = 1e6
    normalize_c = true
    mu = 0.5
    friction_lm = frictional_lm
    capture_tolerance = 1.0e-5
    newmark_beta = 0.25
    newmark_gamma = 0.5
    debug_mesh = true
    minimum_projection_angle = 0.0
  []
  [normal_x]
    type = NormalMortarMechanicalContact
    primary_boundary = 20
    secondary_boundary = 10
    primary_subdomain = 4
    secondary_subdomain = 3
    variable = normal_lm
    secondary_variable = disp_x
    component = x
    use_displaced_mesh = true
    compute_lm_residuals = false
    debug_mesh = true
    minimum_projection_angle = 0.0
    weighted_gap_uo = weighted_vel_uo
  []
  [normal_y]
    type = NormalMortarMechanicalContact
    primary_boundary = 20
    secondary_boundary = 10
    primary_subdomain = 4
    secondary_subdomain = 3
    variable = normal_lm
    secondary_variable = disp_y
    component = y
    use_displaced_mesh = true
    compute_lm_residuals = false
    debug_mesh = true
    minimum_projection_angle = 0.0
    weighted_gap_uo = weighted_vel_uo
  []
  [tangential_x]
    type = TangentialMortarMechanicalContact
    primary_boundary = 20
    secondary_boundary = 10
    primary_subdomain = 4
    secondary_subdomain = 3
    variable = frictional_lm
    secondary_variable = disp_x
    component = x
    use_displaced_mesh = true
    compute_lm_residuals = false
    debug_mesh = true
    minimum_projection_angle = 0.0
    weighted_velocities_uo = weighted_vel_uo
  []
  [tangential_y]
    type = TangentialMortarMechanicalContact
    primary_boundary = 20
    secondary_boundary = 10
    primary_subdomain = 4
    secondary_subdomain = 3
    variable = frictional_lm
    secondary_variable = disp_y
    component = y
    use_displaced_mesh = true
    compute_lm_residuals = false
    debug_mesh = true
    minimum_projection_angle = 0.0
    weighted_velocities_uo = weighted_vel_uo
  []
[]

[BCs]
  [botx]
    type = DirichletBC
    variable = disp_x
    boundary = 40
    value = 0.0
  []
  [boty]
    type = DirichletBC
    variable = disp_y
    boundary = 40
    value = 0.0
  []
  [topy]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 30
    function = '${starting_point} * cos(4.0 * pi / 4 * t) + ${offset}'
  []
  [leftx]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 50
    function = '1e-2 * (cos(32.0 * pi / 4 * t) - 1.0)'
  []
[]

[Executioner]
  type = Transient
  end_time = 0.0
  dt = 0.05
  dtmin = .002
  solve_type = 'NEWTON'
  petsc_options = '-snes_converged_reason -ksp_converged_reason -pc_svd_monitor '
                  '-snes_linesearch_monitor -snes_ksp_ew'
  petsc_options_iname = '-pc_type -pc_factor_mat_solver_type -pc_factor_shift_type -pc_factor_shift_amount'
  petsc_options_value = 'lu       superlu_dist                  NONZERO               1e-15'
  nl_max_its = 40
  l_max_its = 15
  line_search = 'l2'
  snesmf_reuse_base = true

  [TimeIntegrator]
    type = NewmarkBeta
    beta = 0.25
    gamma = 0.5
  []
[]

[Debug]
  show_var_residual_norms = true
[]

[Outputs]
  exodus = true
  checkpoint = true
[]

[Preconditioning]
  [smp]
    type = SMP
    full = true
  []
[]

[Postprocessors]
  active = 'num_nl cumulative contact'
  [num_nl]
    type = NumNonlinearIterations
  []
  [cumulative]
    type = CumulativeValuePostprocessor
    postprocessor = num_nl
  []
  [contact]
    type = ContactDOFSetSize
    variable = normal_lm
    subdomain = '3'
    execute_on = 'nonlinear timestep_end'
  []
[]

(modules/heat_transfer/test/tests/gap_perfect_transfer/perfect_transfer_gap.i)

#
# 1-D Gap Perfect Heat Transfer
#
# The mesh consists of two element blocks containing one element each.  Each
#   element is a unit line.  They sit next to one another with a unit between
#   them.
#
# The temperature of the far left boundary is ramped from 100 to 200 over one
#   second and then held fixed.  The temperature of the far right boundary
#   follows due to the perfect heat transfer.
#

[Mesh]
  [left]
    type = GeneratedMeshGenerator
    dim = 1
    boundary_name_prefix = left
  []
  [right]
    type = GeneratedMeshGenerator
    dim = 1
    xmin = 2
    xmax = 3
    boundary_name_prefix = right
    boundary_id_offset = 2
  []
  [right_block]
    type = SubdomainIDGenerator
    input = right
    subdomain_id = 1
  []
  [collect]
    type = CombinerGenerator
    inputs = 'left right_block'
  []
[]

[Functions]
  [temperature]
    type = PiecewiseLinear
    x = '0   1   2'
    y = '100 200 200'
  []
[]

[Variables]
  [temperature]
    order = FIRST
    family = LAGRANGE
    initial_condition = 100
  []
[]

[Kernels]
  [heat]
    type = HeatConduction
    variable = temperature
  []
[]

[BCs]
  [temp_far_left]
    type = FunctionDirichletBC
    boundary = 0
    variable = temperature
    function = temperature
  []
[]

[ThermalContact]
  [thermal_contact_1]
    type = GapPerfectConductance
    penalty = 1e3
    variable = temperature
    primary = 1
    secondary = 2
  []
[]

[Materials]
  [heat1]
    type = HeatConductionMaterial
    block = 0
    specific_heat = 1.0
    thermal_conductivity = 1.0
  []
  [heat2]
    type = HeatConductionMaterial
    block = 1
    specific_heat = 1.0
    thermal_conductivity = 10.0
  []
[]

[Executioner]
  type = Transient

  solve_type = 'PJFNK'

  petsc_options_iname = '-pc_type -pc_factor_mat_solver_type'
  petsc_options_value = 'lu superlu_dist'

  line_search = 'none'

  nl_abs_tol = 1e-8
  nl_rel_tol = 1e-14

  l_tol = 1e-3
  l_max_its = 100

  start_time = 0.0
  dt = 1e-1
  end_time = 2.0
  num_steps = 50
[]

[Postprocessors]
  [aveTempLeft]
    type = SideAverageValue
    boundary = 0
    variable = temperature
    execute_on = 'initial timestep_end'
  []
  [aveTempRight]
    type = SideAverageValue
    boundary = 3
    variable = temperature
    execute_on = 'initial timestep_end'
  []
[]

[Outputs]
  csv = true
[]

(modules/combined/test/tests/inelastic_strain/elas_plas/elas_plas_nl1_cycle.i)

#
# Test for effective strain calculation.
# Boundary conditions from NAFEMS test NL1
#
#
# This is not a verification test. The boundary conditions are applied such
# that the first step generates only elastic stresses. The rest of the load
# steps generate cycles of tension and compression in the axial (i.e., y-axis)
# direction. The axial stresses and strains also cycle, however the effective
# plastic strain increases in value throughout the analysis.
#
[GlobalParams]
  order = FIRST
  family = LAGRANGE
  volumetric_locking_correction = true
  displacements = 'disp_x disp_y'
[]

[Mesh]
  file = one_elem2.e
[]

[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
[]

[AuxVariables]
  [./stress_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./vonmises]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./pressure]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./elastic_strain_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./elastic_strain_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./elastic_strain_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./plastic_strain_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./plastic_strain_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./plastic_strain_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./tot_strain_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./tot_strain_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./tot_strain_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./eff_plastic_strain]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]

[Kernels]
  [./TensorMechanics]
    use_displaced_mesh = true
  [../]
[]

[AuxKernels]
  [./stress_xx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xx
    index_i = 0
    index_j = 0
    execute_on = timestep_end
  [../]
  [./stress_yy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yy
    index_i = 1
    index_j = 1
    execute_on = timestep_end
  [../]
  [./stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zz
    index_i = 2
    index_j = 2
    execute_on = timestep_end
  [../]
  [./stress_xy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xy
    index_i = 0
    index_j = 1
    execute_on = timestep_end
  [../]
  [./vonmises]
    type = RankTwoScalarAux
    rank_two_tensor = stress
    variable = vonmises
    scalar_type = VonMisesStress
    execute_on = timestep_end
  [../]
  [./pressure]
    type = RankTwoScalarAux
    rank_two_tensor = stress
    variable = pressure
    scalar_type = Hydrostatic
    execute_on = timestep_end
  [../]
  [./elastic_strain_xx]
    type = RankTwoAux
    rank_two_tensor = elastic_strain
    variable = elastic_strain_xx
    index_i = 0
    index_j = 0
    execute_on = timestep_end
  [../]
  [./elastic_strain_yy]
    type = RankTwoAux
    rank_two_tensor = elastic_strain
    variable = elastic_strain_yy
    index_i = 1
    index_j = 1
    execute_on = timestep_end
  [../]
  [./elastic_strain_zz]
    type = RankTwoAux
    rank_two_tensor = elastic_strain
    variable = elastic_strain_zz
    index_i = 2
    index_j = 2
    execute_on = timestep_end
  [../]
  [./plastic_strain_xx]
    type = RankTwoAux
    rank_two_tensor = plastic_strain
    variable = plastic_strain_xx
    index_i = 0
    index_j = 0
    execute_on = timestep_end
  [../]
  [./plastic_strain_yy]
    type = RankTwoAux
    rank_two_tensor = plastic_strain
    variable = plastic_strain_yy
    index_i = 1
    index_j = 1
    execute_on = timestep_end
  [../]
  [./plastic_strain_zz]
    type = RankTwoAux
    rank_two_tensor = plastic_strain
    variable = plastic_strain_zz
    index_i = 2
    index_j = 2
    execute_on = timestep_end
  [../]
  [./tot_strain_xx]
    type = RankTwoAux
    rank_two_tensor = total_strain
    variable = tot_strain_xx
    index_i = 0
    index_j = 0
    execute_on = timestep_end
  [../]
  [./tot_strain_yy]
    type = RankTwoAux
    rank_two_tensor = total_strain
    variable = tot_strain_yy
    index_i = 1
    index_j = 1
    execute_on = timestep_end
  [../]
  [./tot_strain_zz]
    type = RankTwoAux
    rank_two_tensor = total_strain
    variable = tot_strain_zz
    index_i = 2
    index_j = 2
    execute_on = timestep_end
  [../]
  [./eff_plastic_strain]
    type = MaterialRealAux
    property = effective_plastic_strain
    variable = eff_plastic_strain
  [../]
[]

[Functions]
  [./appl_dispy]
    type = PiecewiseLinear
    x = '0     1.0     2.0     3.0     4.0     5.0      6.0    7.0     8.0    9.0     10.0      11.0     12.0'
    y = '0.0 0.208e-4 0.50e-4 1.00e-4 0.784e-4 0.50e-4  0.0  0.216e-4 0.5e-4 1.0e-4 0.785e-4  0.50e-4  0.0'
  [../]
[]

[BCs]
  [./side_x]
    type = DirichletBC
    variable = disp_x
    boundary = 101
    value = 0.0
  [../]
  [./origin_x]
    type = DirichletBC
    variable = disp_x
    boundary = 103
    value = 0.0
  [../]
  [./bot_y]
    type = DirichletBC
    variable = disp_y
    boundary = 102
    value = 0.0
  [../]
  [./origin_y]
    type = DirichletBC
    variable = disp_y
    boundary = 103
    value = 0.0
  [../]
  [./top_y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 1
    function = appl_dispy
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeIsotropicElasticityTensor
    block = 1
    youngs_modulus = 250e9
    poissons_ratio = 0.25
  [../]
  [./strain]
    type = ComputePlaneFiniteStrain
    block = 1
  [../]
  [./stress]
    type = ComputeMultipleInelasticStress
    inelastic_models = 'isoplas'
    block = 1
  [../]
  [./isoplas]
    type = IsotropicPlasticityStressUpdate
    yield_stress = 5e6
    hardening_constant = 0.0
    relative_tolerance = 1e-20
    absolute_tolerance = 1e-8
  [../]
[]

[Executioner]
  type = Transient
  solve_type = 'PJFNK'

  nl_rel_tol = 1e-10
  nl_abs_tol = 1e-12
  l_tol = 1e-4
  l_max_its = 100
  nl_max_its = 20

  dt = 1.0
  start_time = 0.0
  num_steps = 100
  end_time = 12.0
[]

[Postprocessors]
  [./stress_xx]
    type = ElementAverageValue
    variable = stress_xx
  [../]
  [./stress_yy]
    type = ElementAverageValue
    variable = stress_yy
  [../]
  [./stress_zz]
    type = ElementAverageValue
    variable = stress_zz
  [../]
  [./stress_xy]
    type = ElementAverageValue
    variable = stress_xy
  [../]
  [./vonmises]
    type = ElementAverageValue
    variable = vonmises
  [../]
  [./pressure]
    type = ElementAverageValue
    variable = pressure
  [../]
  [./el_strain_xx]
    type = ElementAverageValue
    variable = elastic_strain_xx
  [../]
  [./el_strain_yy]
    type = ElementAverageValue
    variable = elastic_strain_yy
  [../]
  [./el_strain_zz]
    type = ElementAverageValue
    variable = elastic_strain_zz
  [../]
  [./pl_strain_xx]
    type = ElementAverageValue
    variable = plastic_strain_xx
  [../]
  [./pl_strain_yy]
    type = ElementAverageValue
    variable = plastic_strain_yy
  [../]
  [./pl_strain_zz]
    type = ElementAverageValue
    variable = plastic_strain_zz
  [../]
  [./eff_plastic_strain]
    type = ElementAverageValue
    variable = eff_plastic_strain
  [../]
  [./tot_strain_xx]
    type = ElementAverageValue
    variable = tot_strain_xx
  [../]
  [./tot_strain_yy]
    type = ElementAverageValue
    variable = tot_strain_yy
  [../]
  [./tot_strain_zz]
    type = ElementAverageValue
    variable = tot_strain_zz
  [../]
  [./disp_x1]
    type = NodalVariableValue
    nodeid = 0
    variable = disp_x
  [../]
  [./disp_x4]
    type = NodalVariableValue
    nodeid = 3
    variable = disp_x
  [../]
  [./disp_y1]
    type = NodalVariableValue
    nodeid = 0
    variable = disp_y
  [../]
  [./disp_y4]
    type = NodalVariableValue
    nodeid = 3
    variable = disp_y
  [../]
  [./_dt]
    type = TimestepSize
  [../]
[]

[Outputs]
  exodus = true
  [./console]
    type = Console
    output_linear = true
  [../]
[]

(modules/solid_mechanics/test/tests/stickyBC/push_down.i)

# Testing StickyBC
#
# Push the top of an element downward until the bottom hits an (invisible) obstruction.
# 10 timesteps are used.  In each timestep disp_y is decreased by 0.1.  The
# StickyBC has a min_value of -0.49, so at timestep 5 this bound will be violated
# and the bottom boundary will be fixed forever after.
#
# This test also illustrates that StickyBC is only ever meant to be used in
# special situations:
# - if, after the simulation ends, the top is moved upward again, the StickyBC
#   will keep the bottom fixed.  Ie, the StickyBC is truly "sticky".
# - setting min_value = -0.5 in this test illustrates the "approximate" nature
#   of StickyBC, in that some nodes will be fixed at disp_y=-0.5, while others
#   will be fixed at disp_y=-0.6, due to the timestepping and roundoff errors
#   in MOOSE's solution.
[Mesh]
  type = GeneratedMesh
  dim = 3
[]

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]

[Physics/SolidMechanics/QuasiStatic]
  [./all]
    add_variables = true
  [../]
[]

[BCs]
  [./obstruction]
    type = StickyBC
    variable = disp_y
    boundary = bottom
    min_value = -0.49
  [../]
  [./top]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = top
    function = -t
  [../]
  [./left]
    type = DirichletBC
    variable = disp_x
    boundary = left
    value = 0
  [../]
  [./front]
    type = DirichletBC
    variable = disp_z
    boundary = front
    value = 0
  [../]
[]

[Materials]
  [./stress]
    type = ComputeLinearElasticStress
  [../]
  [./elasticity_tensor]
    type = ComputeIsotropicElasticityTensor
    youngs_modulus = 1.0
    poissons_ratio = 0.2
  [../]
[]

[Preconditioning]
  [./SMP]
    type = SMP
    full = true
  [../]
[]

[Executioner]
  type = Transient
  solve_type = Linear
  dt = 0.1
  end_time = 1.0
[]

[Outputs]
  exodus = true
[]

(modules/solid_mechanics/test/tests/nodal_patch_recovery/patch_recovery.i)

[GlobalParams]
  displacements = 'ux uy'
[]

[Mesh]
  type = GeneratedMesh
  dim = 2
  nx = 4
  ny = 4
[]

[UserObjects]
  [stress_xx_patch]
    type = NodalPatchRecoveryMaterialProperty
    patch_polynomial_order = FIRST
    property = 'stress'
    component = '0 0'
    execute_on = 'TIMESTEP_END'
  []
  [stress_yy_patch]
    type = NodalPatchRecoveryMaterialProperty
    patch_polynomial_order = FIRST
    property = 'stress'
    component = '1 1'
    execute_on = 'TIMESTEP_END'
  []
[]

[AuxVariables]
  [stress_xx_recovered]
    order = FIRST
    family = LAGRANGE
  []
  [stress_yy_recovered]
    order = FIRST
    family = LAGRANGE
  []
[]

[Functions]
  [tdisp]
    type = ParsedFunction
    expression = 0.01*t
  []
[]

[Physics/SolidMechanics/QuasiStatic/all]
  strain = FINITE
  add_variables = true
[]

[AuxKernels]
  [stress_xx_recovered]
    type = NodalPatchRecoveryAux
    variable = stress_xx_recovered
    nodal_patch_recovery_uo = stress_xx_patch
    execute_on = 'TIMESTEP_END'
  []
  [stress_yy_recovered]
    type = NodalPatchRecoveryAux
    variable = stress_yy_recovered
    nodal_patch_recovery_uo = stress_yy_patch
    execute_on = 'TIMESTEP_END'
  []
[]

[BCs]
  [fix_y]
    type = DirichletBC
    variable = uy
    boundary = 'bottom'
    value = 0
  []
  [fix_x]
    type = DirichletBC
    variable = ux
    boundary = 'top bottom'
    value = 0
  []
  [disp_y]
    type = FunctionDirichletBC
    variable = uy
    boundary = 'top'
    function = tdisp
    preset = false
  []
[]

[Materials]
  [elasticity_tensor]
    type = ComputeElasticityTensorCP
    C_ijkl = '1.684e5 1.214e5 1.214e5 1.684e5 1.214e5 1.684e5 0.754e5 0.754e5 0.754e5'
    fill_method = symmetric9
  []
  [stress]
    type = ComputeMultipleCrystalPlasticityStress
    crystal_plasticity_models = 'trial_xtalpl'
    tan_mod_type = exact
  []
  [trial_xtalpl]
    type = CrystalPlasticityKalidindiUpdate
    number_slip_systems = 12
    slip_sys_file_name = input_slip_sys.txt
  []
[]

[Preconditioning]
  [smp]
    type = SMP
    full = true
  []
[]

[Executioner]
  type = Transient
  solve_type = 'PJFNK'

  petsc_options_iname = '-pc_type'
  petsc_options_value = 'lu'

  automatic_scaling = true

  dt = 0.05
  num_steps = 2

  nl_abs_tol = 1e-10
  nl_rel_tol = 1e-10
[]

[Outputs]
  exodus = true
  print_linear_residuals = false
[]

(modules/peridynamics/test/tests/failure_tests/2D_stress_failure_H1NOSPD.i)


[GlobalParams]
  displacements = 'disp_x disp_y'
[]

[Mesh]
  type = PeridynamicsMesh
  horizon_number = 3
  cracks_start = '0.25 0.5 0'
  cracks_end = '0.75 0.5 0'

  [./gmg]
    type = GeneratedMeshGenerator
    dim = 2
    nx = 8
    ny = 8
  [../]
  [./gpd]
    type = MeshGeneratorPD
    input = gmg
    retain_fe_mesh = false
  [../]
[]

[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
[]

[AuxVariables]
  [./damage]
  [../]
  [./intact_bonds_num]
  [../]
  [./critical_stress]
    family = MONOMIAL
    order = CONSTANT
  [../]
[]

[AuxKernels]
  [./bond_status]
    type = RankTwoBasedFailureCriteriaNOSPD
    variable = bond_status
    rank_two_tensor = stress
    critical_variable = critical_stress
    failure_criterion = VonMisesStress
  [../]
[]

[UserObjects]
  [./damage]
    type = NodalDamageIndexPD
    variable = damage
  [../]
  [./intact_bonds]
    type = NodalNumIntactBondsPD
    variable = intact_bonds_num
  [../]
[]

[ICs]
  [./critical_stretch]
    type = ConstantIC
    variable = critical_stress
    value = 150
  [../]
[]

[BCs]
  [./left_x]
    type = DirichletBC
    variable = disp_x
    boundary = 1003
    value = 0.0
  [../]
  [./top_y]
    type = DirichletBC
    variable = disp_y
    boundary = 1002
    value = 0.0
  [../]
  [./bottom_y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 1000
    function = '-0.001*t'
  [../]

  [./rbm_x]
    type = RBMPresetOldValuePD
    variable = disp_x
    boundary = 999
  [../]
  [./rbm_y]
    type = RBMPresetOldValuePD
    variable = disp_y
    boundary = 999
  [../]
[]

[Modules/Peridynamics/Mechanics/Master]
  [./all]
    formulation = NONORDINARY_STATE
    stabilization = BOND_HORIZON_I
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeIsotropicElasticityTensor
    youngs_modulus = 2e5
    poissons_ratio = 0.33
  [../]
  [./strain]
    type = ComputePlaneSmallStrainNOSPD
    stabilization = BOND_HORIZON_I
  [../]
  [./stress]
    type = ComputeLinearElasticStress
  [../]
[]

[Preconditioning]
  [./SMP]
    type = SMP
    full = true
  [../]
[]

[Executioner]
  type = Transient
  solve_type = PJFNK
  line_search = none
  start_time = 0
  dt = 0.5
  end_time = 1

  [./Quadrature]
    type = GAUSS_LOBATTO
    order = FIRST
  [../]
[]

[Outputs]
  file_base = 2D_stress_failure_H1NOSPD
  exodus = true
[]

(modules/solid_mechanics/test/tests/j2_plasticity/small_deform3.i)

# UserObject J2 test
# apply uniform compression in x direction to give
# trial stress_xx = -7, so sqrt(3*J2) = 7
# with zero Poisson's ratio, this should return to
# stress_xx = -3, stress_yy = -2 = stress_zz
# (note that stress_xx - stress_yy = stress_xx - stress_zz = -1, so sqrt(3*j2) = 1,
#  and that the mean stress remains = -7/3)

[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]


[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
[]

[Kernels]
  [SolidMechanics]
    displacements = 'disp_x disp_y disp_z'
  [../]
[]


[BCs]
  [./x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'front back'
    function = '-3.5E-6*x'
  [../]
  [./y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'front back'
    function = '0E-6*y'
  [../]
  [./z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'front back'
    function = '0E-6*z'
  [../]
[]

[AuxVariables]
  [./stress_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./iter]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]

[AuxKernels]
  [./stress_xx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xx
    index_i = 0
    index_j = 0
  [../]
  [./stress_xy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xy
    index_i = 0
    index_j = 1
  [../]
  [./stress_xz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xz
    index_i = 0
    index_j = 2
  [../]
  [./stress_yy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yy
    index_i = 1
    index_j = 1
  [../]
  [./stress_yz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yz
    index_i = 1
    index_j = 2
  [../]
  [./stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zz
    index_i = 2
    index_j = 2
  [../]
  [./f]
    type = MaterialStdVectorAux
    index = 0
    property = plastic_yield_function
    variable = f
  [../]
  [./iter]
    type = MaterialRealAux
    property = plastic_NR_iterations
    variable = iter
  [../]
[]

[Postprocessors]
  [./s_xx]
    type = PointValue
    point = '0 0 0'
    variable = stress_xx
  [../]
  [./s_xy]
    type = PointValue
    point = '0 0 0'
    variable = stress_xy
  [../]
  [./s_xz]
    type = PointValue
    point = '0 0 0'
    variable = stress_xz
  [../]
  [./s_yy]
    type = PointValue
    point = '0 0 0'
    variable = stress_yy
  [../]
  [./s_yz]
    type = PointValue
    point = '0 0 0'
    variable = stress_yz
  [../]
  [./s_zz]
    type = PointValue
    point = '0 0 0'
    variable = stress_zz
  [../]
  [./f]
    type = PointValue
    point = '0 0 0'
    variable = f
  [../]
  [./iter]
    type = PointValue
    point = '0 0 0'
    variable = iter
  [../]
[]

[UserObjects]
  [./str]
    type = SolidMechanicsHardeningConstant
    value = 1
  [../]
  [./j2]
    type = SolidMechanicsPlasticJ2
    yield_strength = str
    yield_function_tolerance = 1E-3
    internal_constraint_tolerance = 1E-9
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    block = 0
    fill_method = symmetric_isotropic
    C_ijkl = '0 1E6'
  [../]
  [./strain]
    type = ComputeFiniteStrain
    block = 0
    displacements = 'disp_x disp_y disp_z'
  [../]
  [./mc]
    type = ComputeMultiPlasticityStress
    block = 0
    ep_plastic_tolerance = 1E-9
    plastic_models = j2
    debug_fspb = crash
  [../]
[]


[Executioner]
  end_time = 1
  dt = 1
  type = Transient
[]


[Outputs]
  file_base = small_deform3
  exodus = false
  [./csv]
    type = CSV
    [../]
[]

(modules/solid_mechanics/test/tests/neml2/plasticity/isokinharden.i)

N = 2

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]

[Mesh]
  [gmg]
    type = GeneratedMeshGenerator
    dim = 3
    nx = ${N}
    ny = ${N}
    nz = ${N}
  []
[]

[Physics]
  [SolidMechanics]
    [QuasiStatic]
      [all]
        strain = SMALL
        new_system = true
        add_variables = true
        formulation = TOTAL
        volumetric_locking_correction = true
      []
    []
  []
[]

[NEML2]
  input = 'isokinharden_neml2.i'
  [all]
    model = 'model'
    verbose = true
    device = 'cpu'

    moose_input_types = 'MATERIAL     POSTPROCESSOR POSTPROCESSOR MATERIAL              MATERIAL                  MATERIAL'
    moose_inputs = '     neml2_strain time          time          plastic_strain        equivalent_plastic_strain kinematic_plastic_strain'
    neml2_inputs = '     forces/E     forces/t      old_forces/t  old_state/internal/Ep old_state/internal/ep     old_state/internal/Kp'

    moose_output_types = 'MATERIAL     MATERIAL          MATERIAL                  MATERIAL'
    moose_outputs = '     neml2_stress plastic_strain    equivalent_plastic_strain kinematic_plastic_strain'
    neml2_outputs = '     state/S      state/internal/Ep state/internal/ep         state/internal/Kp'

    moose_derivative_types = 'MATERIAL'
    moose_derivatives = 'neml2_jacobian'
    neml2_derivatives = 'state/S forces/E'
  []
[]

[Postprocessors]
  [time]
    type = TimePostprocessor
    execute_on = 'INITIAL TIMESTEP_BEGIN'
  []
[]

[Materials]
  [convert_strain]
    type = RankTwoTensorToSymmetricRankTwoTensor
    from = 'mechanical_strain'
    to = 'neml2_strain'
  []
  [stress]
    type = ComputeLagrangianObjectiveCustomSymmetricStress
    custom_small_stress = 'neml2_stress'
    custom_small_jacobian = 'neml2_jacobian'
  []
[]

[BCs]
  [xfix]
    type = DirichletBC
    variable = disp_x
    boundary = left
    value = 0
  []
  [yfix]
    type = DirichletBC
    variable = disp_y
    boundary = bottom
    value = 0
  []
  [zfix]
    type = DirichletBC
    variable = disp_z
    boundary = back
    value = 0
  []
  [xdisp]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = right
    function = t
    preset = false
  []
[]

[Executioner]
  type = Transient
  solve_type = NEWTON
  petsc_options_iname = '-pc_type'
  petsc_options_value = 'lu'
  automatic_scaling = true
  dt = 1e-3
  dtmin = 1e-3
  num_steps = 5
  residual_and_jacobian_together = true
[]

[Outputs]
  exodus = true
[]

(modules/contact/test/tests/bouncing-block-contact/ping-ponging/mortar-no-ping-pong_weighted.i)

starting_point = 2e-1
offset = 1e-2

[GlobalParams]
  displacements = 'disp_x disp_y'
[]

[Mesh]
  [file]
    type = FileMeshGenerator
    file = long-bottom-block-no-lower-d.e
  []
[]

[Variables]
  [disp_x]
  []
  [disp_y]
  []
[]

[ICs]
  [disp_y]
    block = 2
    variable = disp_y
    value = '${fparse starting_point + offset}'
    type = ConstantIC
  []
[]

[Physics/SolidMechanics/QuasiStatic]
  [all]
    add_variables = false
    use_automatic_differentiation = true
    strain = SMALL
  []
[]

[Materials]
  [elasticity]
    type = ADComputeIsotropicElasticityTensor
    youngs_modulus = 1e0
    poissons_ratio = 0.3
  []
  [stress]
    type = ADComputeLinearElasticStress
  []
[]

[Contact]
  [leftright]
    secondary = 10
    primary = 20
    model = frictionless
    formulation = mortar
    c_normal = 1e-1
  []
[]

[BCs]
  [botx]
    type = DirichletBC
    variable = disp_x
    boundary = 40
    value = 0.0
  []
  [boty]
    type = DirichletBC
    variable = disp_y
    boundary = 40
    value = 0.0
  []
  [topy]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 30
    function = '${starting_point} * cos(2 * pi / 40 * t) + ${offset}'
  []
  [leftx]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 50
    function = '1e-2 * t'
  []
[]

[Executioner]
  type = Transient
  num_steps = 40
  end_time = 200
  dt = 5
  dtmin = 5
  solve_type = 'PJFNK'
  petsc_options = '-snes_converged_reason -ksp_converged_reason -snes_ksp_ew'
  petsc_options_iname = '-pc_type -mat_mffd_err -pc_factor_shift_type'
  petsc_options_value = 'lu       1e-5          NONZERO'
  l_max_its = 30
  nl_max_its = 20
  nl_abs_tol = 1e-10
  nl_rel_tol = 1e-10
  line_search = 'none'
  snesmf_reuse_base = true
[]

[Debug]
  show_var_residual_norms = true
[]

[Outputs]
  [exo]
    type = Exodus
  []
[]

[Preconditioning]
  [smp]
    type = SMP
    full = true
  []
[]

(test/tests/geomsearch/2d_moving_penetration/pl_test2tt.i)

[GlobalParams]
  order = FIRST
  family = LAGRANGE
[]

[Mesh]
  file = pl_test2.e
  displacements = 'disp_x disp_y'
[]

[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
[]

[AuxVariables]
  [./distance]
  [../]
  [./tangential_distance]
  [../]
  [./normal_x]
  [../]
  [./normal_y]
  [../]
  [./closest_point_x]
  [../]
  [./closest_point_y]
  [../]
  [./element_id]
  [../]
  [./side]
  [../]
[]

[Kernels]
  [./diff_x]
    type = Diffusion
    variable = disp_x
  [../]
  [./diff_y]
    type = Diffusion
    variable = disp_y
  [../]
[]

[AuxKernels]
  [./penetrate]
    type = PenetrationAux
    variable = distance
    boundary = 11            #secondary
    paired_boundary = 12     #primary
    tangential_tolerance = 0.1
  [../]

  [./penetrate2]
    type = PenetrationAux
    variable = distance
    boundary = 12            #secondary
    paired_boundary = 11     #primary
    tangential_tolerance = 0.1
  [../]

  [./penetrate3]
    type = PenetrationAux
    variable = tangential_distance
    boundary = 11
    paired_boundary = 12
    quantity = tangential_distance
  [../]

  [./penetrate4]
    type = PenetrationAux
    variable = tangential_distance
    boundary = 12
    paired_boundary = 11
    quantity = tangential_distance
  [../]

  [./penetrate5]
    type = PenetrationAux
    variable = normal_x
    boundary = 11
    paired_boundary = 12
    quantity = normal_x
  [../]

  [./penetrate6]
    type = PenetrationAux
    variable = normal_x
    boundary = 12
    paired_boundary = 11
    quantity = normal_x
  [../]

  [./penetrate7]
    type = PenetrationAux
    variable = normal_y
    boundary = 11
    paired_boundary = 12
    quantity = normal_y
  [../]

  [./penetrate8]
    type = PenetrationAux
    variable = normal_y
    boundary = 12
    paired_boundary = 11
    quantity = normal_y
  [../]

  [./penetrate9]
    type = PenetrationAux
    variable = closest_point_x
    boundary = 11
    paired_boundary = 12
    quantity = closest_point_x
  [../]

  [./penetrate10]
    type = PenetrationAux
    variable = closest_point_x
    boundary = 12
    paired_boundary = 11
    quantity = closest_point_x
  [../]

  [./penetrate11]
    type = PenetrationAux
    variable = closest_point_y
    boundary = 11
    paired_boundary = 12
    quantity = closest_point_y
  [../]

  [./penetrate12]
    type = PenetrationAux
    variable = closest_point_y
    boundary = 12
    paired_boundary = 11
    quantity = closest_point_y
  [../]

  [./penetrate13]
    type = PenetrationAux
    variable = element_id
    boundary = 11
    paired_boundary = 12
    quantity = element_id
  [../]

  [./penetrate14]
    type = PenetrationAux
    variable = element_id
    boundary = 12
    paired_boundary = 11
    quantity = element_id
  [../]

  [./penetrate15]
    type = PenetrationAux
    variable = side
    boundary = 11
    paired_boundary = 12
    quantity = side
  [../]

  [./penetrate16]
    type = PenetrationAux
    variable = side
    boundary = 12
    paired_boundary = 11
    quantity = side
  [../]
[]

[BCs]
  [./b1x]
    type = DirichletBC
    variable = disp_x
    boundary = 1
    value = 0
  [../]

  [./b1y]
    type = DirichletBC
    variable = disp_y
    boundary = 1
    value = 0
  [../]

  [./b2x]
    type = DirichletBC
    variable = disp_x
    boundary = 2
    value = 0
  [../]

  [./b2y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 2
    function = disp_y
  [../]
[]

[Functions]
  [./disp_y]
    type = PiecewiseLinear
    x = '0.0 0.25 0.75 1.0'
    y = '0.0 0.7 -0.7  0.0'
  [../]
[]

[Executioner]
  type = Transient

  solve_type = 'PJFNK'
  petsc_options = '-snes_ksp_ew'

  nl_rel_tol = 1e-9
  l_max_its = 10

  start_time = 0.0
  dt = 0.05
  end_time = 1.0
[]

[Outputs]
  file_base = pl_test2tt_out
  exodus = true
[]

(test/tests/multiapps/restart/parent.i)

[Mesh]
  type = GeneratedMesh
  dim = 2
  xmin = 0
  ymin = 0
  xmax = 1
  ymax = 1
  nx = 10
  ny = 10
[]

[Functions]
  [v_fn]
    type = ParsedFunction
    expression = t*x
  []
  [ffn]
    type = ParsedFunction
    expression = x
  []
[]

[AuxVariables]
  [v]
  []
[]

[Variables]
  [u]
  []
[]

[Kernels]
  [diff]
    type = Diffusion
    variable = u
  []
  [td]
    type = TimeDerivative
    variable = u
  []
  [ufn]
    type = BodyForce
    variable = u
    function = ffn
  []
[]

[BCs]
  [all]
    type = FunctionDirichletBC
    variable = u
    boundary = 'left right top bottom'
    function = v_fn
  []
[]

[Executioner]
  type = Transient
  num_steps = 5
  dt = 0.1
  solve_type = 'PJFNK'
[]

[Outputs]
  exodus = true
  checkpoint = true
[]

[MultiApps]
  [sub_app]
    app_type = MooseTestApp
    type = TransientMultiApp
    input_files = 'sub.i'
    execute_on = timestep_end
    positions = '0 -1 0'
  []
[]

[Transfers]
  [from_sub]
    type = MultiAppGeneralFieldNearestLocationTransfer
    from_multi_app = sub_app
    source_variable = u
    variable = v
  []
[]

(modules/solid_mechanics/test/tests/smeared_cracking/cracking_function.i)

#
# Simple pull test for cracking. This tests the option to prescribe the
# cracking strength using an AuxVariable. In this case, an elemental
# AuxVariable is used, and a function is used to prescribe its value.
# One of the elements is weaker than the others, so the crack localizes
# in that element.
#
[Mesh]
   file = plate.e
[]

[GlobalParams]
  displacements = 'disp_x disp_y'
[]

[AuxVariables]
  [./cracking_stress_fn]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./crack_flags2]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]

[Functions]
  [./displ]
    type = PiecewiseLinear
    x = '0 0.1 0.2 0.3 0.4'
    y = '0 0.001 0 -0.001 0'
  [../]
  [./fstress]
    type = ParsedFunction
    expression = 'if(x > 0.667, 1.1e6, 1.2e6)'
  [../]
[]

[Physics/SolidMechanics/QuasiStatic]
  [./all]
    strain = FINITE
    add_variables = true
    generate_output = 'stress_xx stress_yy stress_zz stress_xy stress_yz stress_zx strain_xx strain_yy strain_xy strain_yz'
  [../]
[]

[AuxKernels]
  [./cracking_stress_fn]
    type = FunctionAux
    variable = cracking_stress_fn
    function = fstress
    execute_on = initial
  [../]
  [./crack_flags2]
    type = MaterialRealVectorValueAux
    property = crack_flags
    variable = crack_flags2
   component = 2
  [../]
[]

[BCs]
  [./pull]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = '3 4'
    function = displ
  [../]

  [./pin_x]
    type = DirichletBC
    variable = disp_x
    boundary =  '1 2'
    value = 0
  [../]
  [./pin_y]
    type = DirichletBC
    variable = disp_y
    boundary = '1 4'
    value = 0.0
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeIsotropicElasticityTensor
    youngs_modulus = 200.0e7
    poissons_ratio = 0.0
  [../]
  [./elastic_stress]
    type = ComputeSmearedCrackingStress
    cracking_stress = cracking_stress_fn
    cracked_elasticity_type = FULL
    softening_models = abrupt_softening
  [../]
  [./abrupt_softening]
    type = AbruptSoftening
    residual_stress = 0.0
  [../]
[]

[Postprocessors]
  [./elem_stress_xx]
    type = ElementalVariableValue
    variable = stress_xx
    elementid = 2
  [../]
  [./elem_strain_xx]
    type = ElementalVariableValue
    variable = strain_xx
    elementid = 2
  [../]
  [./elem_crack_flags_x]
    type = ElementalVariableValue
    variable = crack_flags2
    elementid = 2
  [../]
[]

[Executioner]
  type = Transient

  solve_type = PJFNK

  petsc_options_iname = '-ksp_gmres_restart'
  petsc_options_value = '101               '

  line_search = 'none'

  l_max_its = 100
  nl_max_its = 100
  nl_rel_tol = 1e-8
  nl_abs_tol = 1e-6
  l_tol = 1e-5
  start_time = 0.0
  end_time = 0.2
  dt = 0.0025
[]

[Outputs]
  exodus = true
[]

(test/tests/auxkernels/element_var/element_var_test.i)

[Mesh]
  type = GeneratedMesh
  dim = 2
  xmin = 0
  xmax = 1
  ymin = 0
  ymax = 1
  nx = 10
  ny = 10
  elem_type = QUAD4
  # This test uses ElementalVariableValue postprocessors on specific
  # elements, so element numbering needs to stay unchanged
  allow_renumbering = false
[]

[Functions]
  [./ffn]
    type = ParsedFunction
    expression = -4
  [../]

  [./exactfn]
    type = ParsedFunction
    expression = x*x+y*y
  [../]

  [./aux_exact_fn]
    type = ParsedFunction
    expression = t*(x*x+y*y)
  [../]
[]

[Variables]
  [./u]
    order = FIRST
    family = LAGRANGE
  [../]
[]

[Kernels]
  [./td]
    type = TimeDerivative
    variable = u
  [../]

  [./diff]
    type = Diffusion
    variable = u
  [../]

  #Coupling of nonlinear to Aux
  [./force]
    type = BodyForce
    variable = u
    function = ffn
  [../]
[]

[AuxVariables]
  [./aux_u]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]

[AuxKernels]
  [./a]
    type = FunctionAux
    variable = aux_u
    function = aux_exact_fn
  [../]
[]

[BCs]
  [./left]
    type = FunctionDirichletBC
    variable = u
    boundary = '0 1 2 3'
    function = exactfn
  [../]
[]

[Postprocessors]
  [./elem_56]
    type = ElementalVariableValue
    variable = u
    elementid = 56
  [../]

  [./aux_elem_99]
    type = ElementalVariableValue
    variable = aux_u
    elementid = 99
  [../]
[]

[Executioner]
  type = Transient

  solve_type = 'PJFNK'

  dt = 0.01
  start_time = 0
  num_steps = 10
[]

[Outputs]
  exodus = true
  file_base = out
[]

(modules/xfem/test/tests/bimaterials/glued_bimaterials_2d.i)

# This test is for two layer materials with different youngs modulus
# The global stress is determined by switching the stress based on level set values
# The material interface is marked by a level set function
# The two layer materials are glued together

[GlobalParams]
  order = FIRST
  family = LAGRANGE
  displacements = 'disp_x disp_y'
[]

[XFEM]
  qrule = volfrac
  output_cut_plane = true
[]

[UserObjects]
  [./level_set_cut_uo]
    type = LevelSetCutUserObject
    level_set_var = ls
  [../]
[]

[Mesh]
  displacements = 'disp_x disp_y'
  [gen]
    type = GeneratedMeshGenerator
    dim = 2
    nx = 5
    ny = 5
    xmin = 0.0
    xmax = 5.
    ymin = 0.0
    ymax = 5.
    elem_type = QUAD4
  []
  [./left_bottom]
    type = ExtraNodesetGenerator
    new_boundary = 'left_bottom'
    coord = '0.0 0.0'
    input = gen
  [../]
  [./left_top]
    type = ExtraNodesetGenerator
    new_boundary = 'left_top'
    coord = '0.0 5.'
    input = left_bottom
  [../]
[]

[AuxVariables]
  [./ls]
    order = FIRST
    family = LAGRANGE
  [../]
[]

[AuxKernels]
  [./ls_function]
    type = FunctionAux
    variable = ls
    function = ls_func
  [../]
[]

[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
[]

[Functions]
  [./ls_func]
    type = ParsedFunction
    expression = 'y-2.5'
  [../]
[]

[AuxVariables]
  [./stress_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./a_strain_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./a_strain_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./a_strain_xy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./b_strain_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./b_strain_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./b_strain_xy]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]

[Kernels]
  [./TensorMechanics]
  [../]
[]

[AuxKernels]
  [./stress_xx]
    type = RankTwoAux
    rank_two_tensor = stress
    index_i = 0
    index_j = 0
    variable = stress_xx
  [../]
  [./stress_yy]
    type = RankTwoAux
    rank_two_tensor = stress
    index_i = 1
    index_j = 1
    variable = stress_yy
  [../]
  [./stress_xy]
    type = RankTwoAux
    rank_two_tensor = stress
    index_i = 0
    index_j = 1
    variable = stress_xy
  [../]
  [./a_strain_xx]
    type = RankTwoAux
    rank_two_tensor = A_total_strain
    index_i = 0
    index_j = 0
    variable = a_strain_xx
  [../]
  [./a_strain_yy]
    type = RankTwoAux
    rank_two_tensor = A_total_strain
    index_i = 1
    index_j = 1
    variable = a_strain_yy
  [../]
  [./a_strain_xy]
    type = RankTwoAux
    rank_two_tensor = A_total_strain
    index_i = 0
    index_j = 1
    variable = a_strain_xy
  [../]
  [./b_strain_xx]
    type = RankTwoAux
    rank_two_tensor = B_total_strain
    index_i = 0
    index_j = 0
    variable = b_strain_xx
  [../]
  [./b_strain_yy]
    type = RankTwoAux
    rank_two_tensor = B_total_strain
    index_i = 1
    index_j = 1
    variable = b_strain_yy
  [../]
  [./b_strain_xy]
    type = RankTwoAux
    rank_two_tensor = B_total_strain
    index_i = 0
    index_j = 1
    variable = b_strain_xy
  [../]
[]

[Constraints]
  [./dispx_constraint]
    type = XFEMSingleVariableConstraint
    use_displaced_mesh = false
    variable = disp_x
    alpha = 1e8
    geometric_cut_userobject = 'level_set_cut_uo'
  [../]
  [./dispy_constraint]
    type = XFEMSingleVariableConstraint
    use_displaced_mesh = false
    variable = disp_y
    alpha = 1e8
    geometric_cut_userobject = 'level_set_cut_uo'
  [../]
[]

[BCs]
  [./bottomx]
    type = DirichletBC
    boundary = bottom
    variable = disp_x
    value = 0.0
  [../]
  [./bottomy]
    type = DirichletBC
    boundary = bottom
    variable = disp_y
    value = 0.0
  [../]
  [./topx]
    type = FunctionDirichletBC
    boundary = top
    variable = disp_x
    function = 0.03*t
  [../]
  [./topy]
    type = FunctionDirichletBC
    boundary = top
    variable = disp_y
    function = '0.03*t'
  [../]
[]

[Materials]
  [./elasticity_tensor_A]
    type = ComputeIsotropicElasticityTensor
    base_name = A
    youngs_modulus = 1e9
    poissons_ratio = 0.3
  [../]
  [./strain_A]
    type = ComputeSmallStrain
    base_name = A
  [../]
  [./stress_A]
    type = ComputeLinearElasticStress
    base_name = A
  [../]
  [./elasticity_tensor_B]
    type = ComputeIsotropicElasticityTensor
    base_name = B
    youngs_modulus = 1e5
    poissons_ratio = 0.3
  [../]
  [./strain_B]
    type = ComputeSmallStrain
    base_name = B
  [../]
  [./stress_B]
    type = ComputeLinearElasticStress
    base_name = B
  [../]
  [./combined_stress]
    type = LevelSetBiMaterialRankTwo
    levelset_positive_base = 'A'
    levelset_negative_base = 'B'
    level_set_var = ls
    prop_name = stress
  [../]
  [./combined_dstressdstrain]
    type = LevelSetBiMaterialRankFour
    levelset_positive_base = 'A'
    levelset_negative_base = 'B'
    level_set_var = ls
    prop_name = Jacobian_mult
  [../]
[]

[Executioner]
  type = Transient

  solve_type = 'PJFNK'
  petsc_options_iname = '-ksp_gmres_restart -pc_type -pc_hypre_type -pc_hypre_boomeramg_max_iter'
  petsc_options_value = '201                hypre    boomeramg      8'

  line_search = 'bt'

# controls for linear iterations
  l_max_its = 20
  l_tol = 1e-3

# controls for nonlinear iterations
  nl_max_its = 15
  nl_rel_tol = 1e-14
  nl_abs_tol = 1e-7

# time control
  start_time = 0.0
  dt = 0.1
  num_steps = 2

  max_xfem_update = 1
[]

[Outputs]
  exodus = true
  execute_on = timestep_end
  [./console]
    type = Console
    output_linear = true
  [../]
[]

(modules/solid_mechanics/test/tests/neml2/viscoplasticity/perfect.i)

N = 2

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]

[Mesh]
  [gmg]
    type = GeneratedMeshGenerator
    dim = 3
    nx = ${N}
    ny = ${N}
    nz = ${N}
  []
[]

[Physics]
  [SolidMechanics]
    [QuasiStatic]
      [all]
        strain = SMALL
        new_system = true
        add_variables = true
        formulation = TOTAL
        volumetric_locking_correction = true
      []
    []
  []
[]

[NEML2]
  input = 'perfect_neml2.i'
  [all]
    model = 'model'
    verbose = true
    device = 'cpu'

    moose_input_types = 'MATERIAL     MATERIAL     POSTPROCESSOR POSTPROCESSOR MATERIAL'
    moose_inputs = '     neml2_strain neml2_strain time          time          neml2_stress'
    neml2_inputs = '     forces/E     old_forces/E forces/t      old_forces/t  old_state/S'

    moose_output_types = 'MATERIAL'
    moose_outputs = '     neml2_stress'
    neml2_outputs = '     state/S'

    moose_derivative_types = 'MATERIAL'
    moose_derivatives = 'neml2_jacobian'
    neml2_derivatives = 'state/S forces/E'
  []
[]

[Postprocessors]
  [time]
    type = TimePostprocessor
    execute_on = 'INITIAL TIMESTEP_BEGIN'
  []
[]

[Materials]
  [convert_strain]
    type = RankTwoTensorToSymmetricRankTwoTensor
    from = 'mechanical_strain'
    to = 'neml2_strain'
  []
  [stress]
    type = ComputeLagrangianObjectiveCustomSymmetricStress
    custom_small_stress = 'neml2_stress'
    custom_small_jacobian = 'neml2_jacobian'
  []
[]

[BCs]
  [xfix]
    type = DirichletBC
    variable = disp_x
    boundary = left
    value = 0
  []
  [yfix]
    type = DirichletBC
    variable = disp_y
    boundary = bottom
    value = 0
  []
  [zfix]
    type = DirichletBC
    variable = disp_z
    boundary = back
    value = 0
  []
  [xdisp]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = right
    function = t
    preset = false
  []
[]

[Executioner]
  type = Transient
  solve_type = NEWTON
  petsc_options_iname = '-pc_type'
  petsc_options_value = 'lu'
  automatic_scaling = true
  dt = 1e-3
  dtmin = 1e-3
  num_steps = 5
  residual_and_jacobian_together = true
[]

[Outputs]
  exodus = true
[]

(modules/solid_mechanics/test/tests/crystal_plasticity/twinning/upper_twin_fraction_limit.i)

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]

[Mesh]
  [cube]
    type = GeneratedMeshGenerator
    dim = 3
    elem_type = HEX8
  []
[]

[AuxVariables]
  [fp_zz]
    order = CONSTANT
    family = MONOMIAL
  []
  [total_twin_volume_fraction]
    order = CONSTANT
    family = MONOMIAL
  []
  [slip_increment_4]
    order = CONSTANT
    family = MONOMIAL
  []
  [slip_increment_10]
    order = CONSTANT
    family = MONOMIAL
  []
  [twin_volume_fraction_4]
   order = CONSTANT
   family = MONOMIAL
  []
  [twin_volume_fraction_10]
   order = CONSTANT
   family = MONOMIAL
  []
[]

[Physics/SolidMechanics/QuasiStatic/all]
  strain = FINITE
  add_variables = true
[]

[AuxKernels]
  [fp_zz]
    type = RankTwoAux
    variable = fp_zz
    rank_two_tensor = plastic_deformation_gradient
    index_j = 2
    index_i = 2
    execute_on = timestep_end
  []
  [total_twin_volume_fraction]
    type = MaterialRealAux
    variable = total_twin_volume_fraction
    property = total_volume_fraction_twins
    execute_on = timestep_end
  []
  [slip_increment_4]
   type = MaterialStdVectorAux
   variable = slip_increment_4
   property = slip_increment
   index = 4
   execute_on = timestep_end
  []
  [slip_increment_10]
   type = MaterialStdVectorAux
   variable = slip_increment_10
   property = slip_increment
   index = 10
   execute_on = timestep_end
  []
  [twin_volume_fraction_4]
   type = MaterialStdVectorAux
   variable = twin_volume_fraction_4
   property = twin_system_volume_fraction
   index = 4
   execute_on = timestep_end
  []
  [twin_volume_fraction_10]
   type = MaterialStdVectorAux
   variable = twin_volume_fraction_10
   property = twin_system_volume_fraction
   index = 10
   execute_on = timestep_end
  []
[]

[BCs]
  [fix_y]
    type = DirichletBC
    variable = disp_y
    preset = true
    boundary = 'bottom'
    value = 0
  []
  [fix_x]
    type = DirichletBC
    variable = disp_x
    boundary = 'left'
    value = 0
  []
  [fix_z]
    type = DirichletBC
    variable = disp_z
    boundary = 'back'
    value = 0
  []
  [tdisp]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = front
    function = '5.0e-4*t'
  []
[]

[Materials]
  [elasticity_tensor]
    type = ComputeElasticityTensorCP
    C_ijkl = '1.08e5 6.034e4 6.034e4 1.08e5 6.03e4 1.08e5 2.86e4 2.86e4 2.86e4' #Tallon and Wolfenden. J. Phys. Chem. Solids (1979)
    fill_method = symmetric9
    euler_angle_1 = 54.74
    euler_angle_2 = 45.0
    euler_angle_3 = 270.0
  []
  [stress]
    type = ComputeMultipleCrystalPlasticityStress
    crystal_plasticity_models = 'twin_only_xtalpl'
    tan_mod_type = exact
  []
  [twin_only_xtalpl]
    type = CrystalPlasticityTwinningKalidindiUpdate
    number_slip_systems = 12
    slip_sys_file_name = 'fcc_input_twinning_systems.txt'
    initial_twin_lattice_friction = 1.5
    upper_limit_twin_volume_fraction = 1e-7
    stol = 0.01
    print_state_variable_convergence_error_messages = true
  []
[]

[Postprocessors]
  [fp_zz]
    type = ElementAverageValue
    variable = fp_zz
  []
  [total_twin_volume_fraction]
    type = ElementAverageValue
    variable = total_twin_volume_fraction
  []
  [slip_increment_4]
    type = ElementAverageValue
    variable = slip_increment_4
  []
  [slip_increment_10]
    type = ElementAverageValue
    variable = slip_increment_10
  []
  [twin_volume_fraction_4]
    type = ElementAverageValue
    variable = twin_volume_fraction_4
  []
  [twin_volume_fraction_10]
    type = ElementAverageValue
    variable = twin_volume_fraction_10
  []
[]

[Preconditioning]
  [smp]
    type = SMP
    full = true
  []
[]

[Executioner]
  type = Transient
  solve_type = 'PJFNK'

  petsc_options_iname = '-pc_type -pc_asm_overlap -sub_pc_type -ksp_type -ksp_gmres_restart'
  petsc_options_value = ' asm      2              lu            gmres     200'
  nl_abs_tol = 1e-10
  nl_rel_tol = 1e-10
  nl_abs_step_tol = 1e-10

  dt = 0.05
  dtmin = 1e-5
  end_time = 0.18
[]

[Outputs]
  csv = true
  perf_graph = true
[]

(modules/combined/test/tests/phase_field_fracture/crack2d_computeCrackedStress_finitestrain_elastic.i)

#This input uses PhaseField-Nonconserved Action to add phase field fracture bulk rate kernels
[Mesh]
  [gen]
    type = GeneratedMeshGenerator
    dim = 2
    nx = 40
    ny = 20
    ymax = 0.5
  []
  [./noncrack]
    type = BoundingBoxNodeSetGenerator
    new_boundary = noncrack
    bottom_left = '0.5 0 0'
    top_right = '1 0 0'
    input = gen
  [../]
[]

[GlobalParams]
  displacements = 'disp_x disp_y'
[]

[AuxVariables]
  [./strain_yy]
    family = MONOMIAL
    order = CONSTANT
  [../]
[]

[Physics]
  [./SolidMechanics]
    [./QuasiStatic]
      [./All]
        add_variables = true
        strain = FINITE
        planar_formulation = PLANE_STRAIN
        additional_generate_output = 'stress_yy'
        strain_base_name = uncracked
      [../]
    [../]
  [../]
[]
[Modules]
  [./PhaseField]
    [./Nonconserved]
      [./c]
        free_energy = E_el
        kappa = kappa_op
        mobility = L
      [../]
    [../]
  [../]
[]

[Kernels]
  [./solid_x]
    type = PhaseFieldFractureMechanicsOffDiag
    variable = disp_x
    component = 0
    c = c
  [../]
  [./solid_y]
    type = PhaseFieldFractureMechanicsOffDiag
    variable = disp_y
    component = 1
    c = c
  [../]
  [./off_disp]
    type = AllenCahnElasticEnergyOffDiag
    variable = c
    displacements = 'disp_x disp_y'
    mob_name = L
  [../]
[]

[AuxKernels]
  [./strain_yy]
    type = RankTwoAux
    variable = strain_yy
    rank_two_tensor = uncracked_mechanical_strain
    index_i = 1
    index_j = 1
    execute_on = TIMESTEP_END
  [../]
[]

[BCs]
  [./ydisp]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = top
    function = 't'
  [../]
  [./yfix]
    type = DirichletBC
    variable = disp_y
    boundary = noncrack
    value = 0
  [../]
  [./xfix]
    type = DirichletBC
    variable = disp_x
    boundary = right
    value = 0
  [../]
[]

[Materials]
  [./pfbulkmat]
    type = GenericConstantMaterial
    prop_names = 'gc_prop l visco'
    prop_values = '1e-3 0.05 1e-4'
  [../]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    C_ijkl = '120.0 80.0'
    fill_method = symmetric_isotropic
    base_name = uncracked
  [../]
  [./elastic]
    type = ComputeFiniteStrainElasticStress
    base_name = uncracked
  [../]
  [./cracked_stress]
    type = ComputeCrackedStress
    c = c
    kdamage = 1e-5
    F_name = E_el
    use_current_history_variable = true
    uncracked_base_name = uncracked
    finite_strain_model = true
  [../]
[]

[Postprocessors]
  [./av_stress_yy]
    type = ElementAverageValue
    variable = stress_yy
  [../]
  [./av_strain_yy]
    type = SideAverageValue
    variable = disp_y
    boundary = top
  [../]
[]

[Preconditioning]
  [./smp]
    type = SMP
    full = true
  [../]
[]

[Executioner]
  type = Transient

  solve_type = PJFNK
  petsc_options_iname = '-pc_type -pc_factor_mat_solving_package'
  petsc_options_value = 'lu superlu_dist'

  nl_rel_tol = 1e-8
  l_tol = 1e-4
  l_max_its = 100
  nl_max_its = 10

  dt = 3e-5
  num_steps = 2
[]

[Outputs]
  exodus = true
[]

(test/tests/executioners/executioner/steady-adapt.i)

[Mesh]
  type = GeneratedMesh
  dim = 2
  xmin = -1
  xmax = 1
  ymin = -1
  ymax = 1
  nx = 3
  ny = 3
  elem_type = QUAD4
[]

[Variables]
  active = 'u'

  [./u]
    order = FIRST
    family = LAGRANGE
  [../]
[]

[Functions]
  [./forcing_fn]
    type = ParsedFunction
    expression = -4
  [../]

  [./exact_fn]
    type = ParsedFunction
    expression = ((x*x)+(y*y))
  [../]
[]

[Kernels]
  active = 'diff ffn'

  [./diff]
    type = Diffusion
    variable = u
  [../]

  [./ffn]
    type = BodyForce
    variable = u
    function = forcing_fn
  [../]
[]

[BCs]
  active = 'all'

  [./all]
    type = FunctionDirichletBC
    variable = u
    boundary = '0 1 2 3'
    function = exact_fn
  [../]
[]

[Postprocessors]
  [./l2_err]
    type = ElementL2Error
    variable = u
    function = exact_fn
  [../]
[]

[Executioner]
  type = Steady

  solve_type = 'PJFNK'

  [./Adaptivity]
    steps = 3
    coarsen_fraction = 0.1
    refine_fraction = 0.2
    max_h_level = 5
  [../]
[]

[Outputs]
  execute_on = 'timestep_end'
  file_base = out_steady_adapt
  exodus = true
  print_mesh_changed_info = true
[]

(modules/heat_transfer/test/tests/gap_heat_transfer_htonly/cyl2D_yz.i)

#
# 2D Cylindrical Gap Heat Transfer Test.
#
# This test exercises 2D gap heat transfer for a constant conductivity gap.
#
# The mesh consists of an inner solid cylinder of radius = 1 unit, and outer
# hollow cylinder with an inner radius of 2 in the y-z plane. In other words,
# the gap between them is 1 radial unit in length.
#
# The calculated results are the same as for the cyl2D.i case in the x-y plane.

[GlobalParams]
  order = SECOND
  family = LAGRANGE
[]

[Mesh]
  [file]
    type = FileMeshGenerator
    file = cyl2D.e
  []
  [./rotate]
    type = TransformGenerator
    transform = ROTATE
    vector_value = '0 90 90'
    input = file
  [../]
[]

[Functions]
  [./temp]
    type = PiecewiseLinear
    x = '0   1'
    y = '100 200'
  [../]
[]

[Variables]
  [./temp]
   initial_condition = 100
  [../]
[]

[AuxVariables]
  [./gap_conductance]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]

[Kernels]
  [./heat_conduction]
    type = HeatConduction
    variable = temp
  [../]
[]

[AuxKernels]
  [./gap_cond]
    type = MaterialRealAux
    property = gap_conductance
    variable = gap_conductance
    boundary = 2
  [../]
[]

[Materials]
  [./heat1]
    type = HeatConductionMaterial
    block = '1 2'
    specific_heat = 1.0
    thermal_conductivity = 1000000.0
  [../]
[]

[ThermalContact]
  [./thermal_contact]
    type = GapHeatTransfer
    variable = temp
    primary = 3
    secondary = 2
    emissivity_primary = 0
    emissivity_secondary = 0
    gap_conductivity = 1
    quadrature = true
    gap_geometry_type = CYLINDER
    cylinder_axis_point_1 = '0 0 0'
    cylinder_axis_point_2 = '1 0 0'
  [../]
[]

[BCs]
  [./mid]
    type = FunctionDirichletBC
    boundary = 1
    variable = temp
    function = temp
  [../]
  [./temp_far_right]
    type = DirichletBC
    boundary = 4
    variable = temp
    value = 100
  [../]
[]

[Executioner]
  type = Transient
  solve_type = 'PJFNK'

  petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
  petsc_options_value = 'lu       superlu_dist'

  dt = 1
  dtmin = 0.01
  end_time = 1

  nl_rel_tol = 1e-12
  nl_abs_tol = 1e-7

  [./Quadrature]
     order = fifth
     side_order = seventh
  [../]
[]

[Outputs]
  exodus = true
[]

[Postprocessors]
  [./temp_left]
    type = SideAverageValue
    boundary = 2
    variable = temp
  [../]

  [./temp_right]
    type = SideAverageValue
    boundary = 3
    variable = temp
  [../]

  [./flux_left]
    type = SideDiffusiveFluxIntegral
    variable = temp
    boundary = 2
    diffusivity = thermal_conductivity
  [../]

  [./flux_right]
    type = SideDiffusiveFluxIntegral
    variable = temp
    boundary = 3
    diffusivity = thermal_conductivity
  [../]
[]

(test/tests/geomsearch/2d_moving_penetration/pl_test4.i)

[GlobalParams]
  order = FIRST
  family = LAGRANGE
[]

[Mesh]
  file = pl_test4.e
  displacements = 'disp_x disp_y'
[]

[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
[]

[AuxVariables]
  [./distance]
  [../]
  [./tangential_distance]
  [../]
  [./normal_x]
  [../]
  [./normal_y]
  [../]
  [./closest_point_x]
  [../]
  [./closest_point_y]
  [../]
  [./element_id]
  [../]
  [./side]
  [../]
[]

[Kernels]
  [./diff_x]
    type = Diffusion
    variable = disp_x
  [../]
  [./diff_y]
    type = Diffusion
    variable = disp_y
  [../]
[]

[AuxKernels]
  [./penetrate]
    type = PenetrationAux
    variable = distance
    boundary = 11            #secondary
    paired_boundary = 12     #primary
  [../]

  [./penetrate2]
    type = PenetrationAux
    variable = distance
    boundary = 12            #secondary
    paired_boundary = 11     #primary
  [../]

  [./penetrate3]
    type = PenetrationAux
    variable = tangential_distance
    boundary = 11
    paired_boundary = 12
    quantity = tangential_distance
  [../]

  [./penetrate4]
    type = PenetrationAux
    variable = tangential_distance
    boundary = 12
    paired_boundary = 11
    quantity = tangential_distance
  [../]

  [./penetrate5]
    type = PenetrationAux
    variable = normal_x
    boundary = 11
    paired_boundary = 12
    quantity = normal_x
  [../]

  [./penetrate6]
    type = PenetrationAux
    variable = normal_x
    boundary = 12
    paired_boundary = 11
    quantity = normal_x
  [../]

  [./penetrate7]
    type = PenetrationAux
    variable = normal_y
    boundary = 11
    paired_boundary = 12
    quantity = normal_y
  [../]

  [./penetrate8]
    type = PenetrationAux
    variable = normal_y
    boundary = 12
    paired_boundary = 11
    quantity = normal_y
  [../]

  [./penetrate9]
    type = PenetrationAux
    variable = closest_point_x
    boundary = 11
    paired_boundary = 12
    quantity = closest_point_x
  [../]

  [./penetrate10]
    type = PenetrationAux
    variable = closest_point_x
    boundary = 12
    paired_boundary = 11
    quantity = closest_point_x
  [../]

  [./penetrate11]
    type = PenetrationAux
    variable = closest_point_y
    boundary = 11
    paired_boundary = 12
    quantity = closest_point_y
  [../]

  [./penetrate12]
    type = PenetrationAux
    variable = closest_point_y
    boundary = 12
    paired_boundary = 11
    quantity = closest_point_y
  [../]

  [./penetrate13]
    type = PenetrationAux
    variable = element_id
    boundary = 11
    paired_boundary = 12
    quantity = element_id
  [../]

  [./penetrate14]
    type = PenetrationAux
    variable = element_id
    boundary = 12
    paired_boundary = 11
    quantity = element_id
  [../]

  [./penetrate15]
    type = PenetrationAux
    variable = side
    boundary = 11
    paired_boundary = 12
    quantity = side
  [../]

  [./penetrate16]
    type = PenetrationAux
    variable = side
    boundary = 12
    paired_boundary = 11
    quantity = side
  [../]
[]

[BCs]
  [./b1x]
    type = DirichletBC
    variable = disp_x
    boundary = 1
    value = 0
  [../]

  [./b1y]
    type = DirichletBC
    variable = disp_y
    boundary = 1
    value = 0
  [../]

  [./b2x]
    type = DirichletBC
    variable = disp_x
    boundary = 2
    value = 0
  [../]

  [./b2y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 2
    function = disp_y
  [../]
[]

[Functions]
  [./disp_y]
    type = PiecewiseLinear
    x = '0.0 0.25 0.75 1.0'
    y = '0.0 2.0 -2.0  0.0'
  [../]
[]

[Executioner]
  type = Transient

  solve_type = 'PJFNK'
  petsc_options = '-snes_ksp_ew'

  nl_rel_tol = 1e-10
  l_max_its = 10

  start_time = 0.0
  dt = 0.0125
  end_time = 1.0
[]

[Outputs]
  file_base = pl_test4_out
  exodus = true
[]

(modules/solid_mechanics/test/tests/capped_weak_plane/throw_test.i)

# Illustrates throwing an Exception from a Material.  In this case we
# don't actually recover from the segfault (so it is a RunException
# test) but in practice one could do so.  The purpose of this test is
# to ensure that exceptions can be thrown from Materials with stateful
# material properties without reading/writing to/from uninitialized
# memory.
[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]


[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]

[Physics/SolidMechanics/QuasiStatic]
  [./all]
    add_variables = true
    incremental = true
  [../]
[]

[BCs]
  [./bottomx]
    type = DirichletBC
    variable = disp_x
    boundary = back
    value = 0.0
  [../]
  [./bottomy]
    type = DirichletBC
    variable = disp_y
    boundary = back
    value = 0.0
  [../]
  [./bottomz]
    type = DirichletBC
    variable = disp_z
    boundary = back
    value = 0.0
  [../]

  [./topx]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = front
    function = 0
  [../]
  [./topy]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = front
    function = 0
  [../]
  [./topz]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = front
    function = t
  [../]
[]


[UserObjects]
  [./coh]
    type = SolidMechanicsHardeningConstant
    value = 20
  [../]
  [./tanphi]
    type = SolidMechanicsHardeningConstant
    value = 0.5
  [../]
  [./tanpsi]
    type = SolidMechanicsHardeningConstant
    value = 0.1
  [../]
  [./t_strength]
    type = SolidMechanicsHardeningCubic
    value_0 = 1
    value_residual = 2
    internal_limit = 1
  [../]
  [./c_strength]
    type = SolidMechanicsHardeningConstant
    value = 100
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    fill_method = symmetric_isotropic
    C_ijkl = '0 1'
  [../]
  [./admissible]
    type = ComputeMultipleInelasticStress
    inelastic_models = stress
    perform_finite_strain_rotations = false
  [../]
  [./stress]
    type = CappedWeakPlaneStressUpdate
    cohesion = coh
    tan_friction_angle = tanphi
    tan_dilation_angle = tanpsi
    tensile_strength = t_strength
    compressive_strength = c_strength
    max_NR_iterations = 1
    tip_smoother = 5
    smoothing_tol = 5
    yield_function_tol = 1E-10
  [../]
[]

[Executioner]
  end_time = 1
  dt = 1
  dtmin = 1
  type = Transient
[]

[Outputs]
  file_base = SEGFAULT
  csv = true
[]

(test/tests/multiapps/picard_catch_up/sub.i)

[Mesh]
  type = GeneratedMesh
  dim = 2
  nx = 2
  ny = 2
[]

[Variables]
  [./v]
  [../]
[]

[AuxVariables]
  [./u]
  [../]
[]

[Kernels]
  [./diff_v]
    type = Diffusion
    variable = v
  [../]
  [./force_v]
    type = CoupledForce
    variable = v
    v = u
  [../]
  [./nan]
    type = NanAtCountKernel
    variable = v
    count = 32
  [../]
[]

[BCs]
  [./left_v]
    type = DirichletBC
    variable = v
    preset = false
    boundary = left
    value = 1
  [../]
  [./right_v]
    type = FunctionDirichletBC
    variable = v
    preset = false
    boundary = right
    function = 't + 1'
  [../]
[]

[Executioner]
  type = Transient
  num_steps = 2
  dt = 0.1
  solve_type = PJFNK
  petsc_options_iname = '-pc_type -pc_factor_mat_solver_type'
  petsc_options_value = 'lu mumps'
  nl_abs_tol = 1e-10
  snesmf_reuse_base = false
[]

[Outputs]
  exodus = true
[]

(modules/combined/test/tests/j2_plasticity_vs_LSH/j2_hard1_mod_small_strain.i)

# Test designed to compare results and active time between SH/LinearStrainHardening
# material vs TM j2 plastic user object. As number of elements increases, TM
# active time increases at a much higher rate than SM. Testing at 4x4x4
# (64 elements).
#
# plot vm_stress vs intnl to see constant hardening
#
# Original test located at:
# solid_mechanics/tests/j2_plasticity/hard1.i

[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 4
  ny = 4
  nz = 4
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
  displacements = 'disp_x disp_y disp_z'
[]

[Variables]
  [disp_x]
    order = FIRST
    family = LAGRANGE
  []
  [disp_y]
    order = FIRST
    family = LAGRANGE
  []
  [disp_z]
    order = FIRST
    family = LAGRANGE
  []
[]

[Kernels]
  [TensorMechanics]
    displacements = 'disp_x disp_y disp_z'
  []
[]

[AuxVariables]
  [stress_zz]
    order = CONSTANT
    family = MONOMIAL
  []
  [intnl]
    order = CONSTANT
    family = MONOMIAL
  []
  [vm_stress]
    order = CONSTANT
    family = MONOMIAL
  []
  [eq_pl_strain]
    order = CONSTANT
    family = MONOMIAL
  []
[]

[AuxKernels]
  [stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zz
    index_i = 2
    index_j = 2
  []
  [intnl]
    type = MaterialStdVectorAux
    index = 0
    property = plastic_internal_parameter
    variable = intnl
  []
  [eq_pl_strain]
    type = RankTwoScalarAux
    rank_two_tensor = plastic_strain
    scalar_type = EffectiveStrain
    variable = eq_pl_strain
  []
  [vm_stress]
    type = RankTwoScalarAux
    rank_two_tensor = stress
    scalar_type = VonMisesStress
    variable = vm_stress
  []
[]

[BCs]
  [left]
    type = DirichletBC
    variable = disp_x
    boundary = left
    value = 0.0
  []
  [bottom]
    type = DirichletBC
    variable = disp_y
    boundary = bottom
    value = 0.0
  []
  [back]
    type = DirichletBC
    variable = disp_z
    boundary = back
    value = 0.0
  []
  [z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = front
    function = 't/60'
  []
[]

[UserObjects]
  [str]
    type = TensorMechanicsHardeningConstant
    value = 2.4e2
  []
  [j2]
    type = TensorMechanicsPlasticJ2
    yield_strength = str
    yield_function_tolerance = 1E-3
    internal_constraint_tolerance = 1E-9
  []
[]

[Materials]
  [elasticity_tensor]
    type = ComputeElasticityTensor
    block = 0
    fill_method = symmetric_isotropic
    #with E = 2.1e5 and nu = 0.3
    #Hooke's law: E-nu to Lambda-G
    C_ijkl = '121154 80769.2'
  []
  [strain]
    type = ComputeIncrementalStrain
    block = 0
    displacements = 'disp_x disp_y disp_z'
  []
  [mc]
    type = ComputeMultiPlasticityStress
    block = 0
    ep_plastic_tolerance = 1E-9
    plastic_models = j2
    tangent_operator = elastic
    perform_finite_strain_rotations = false
  []
[]

[Executioner]
  type = Transient

  #Preconditioned JFNK (default)
  solve_type = 'PJFNK'

  petsc_options = '-snes_ksp_ew'
  petsc_options_iname = '-ksp_gmres_restart'
  petsc_options_value = '101'

  line_search = 'none'

  l_max_its = 100
  nl_max_its = 100
  nl_rel_tol = 1e-6
  nl_abs_tol = 1e-10
  l_tol = 1e-4
  start_time = 0.0
  end_time = 0.5
  dt = 0.01
[]

[Postprocessors]
  [stress_zz]
    type = ElementAverageValue
    variable = stress_zz
  []
  [intnl]
    type = ElementAverageValue
    variable = intnl
  []
  [eq_pl_strain]
    type = PointValue
    point = '0 0 0'
    variable = eq_pl_strain
  []
  [vm_stress]
    type = PointValue
    point = '0 0 0'
    variable = vm_stress
  []
[]

[Outputs]
  csv = true
  print_linear_residuals = false
  perf_graph = true
[]

(test/tests/predictors/simple/predictor_reference_residual_test.i)

# The purpose of this test is to ensure the SimplePredictor resets the std::precision

[Mesh]
  type = GeneratedMesh
  dim = 2
  nx = 3
  ny = 3
[]

[Problem]
  type = ReferenceResidualProblem
  extra_tag_vectors = 'ref'
  reference_vector = 'ref'
[]

[Variables]
  [./u]
  [../]
[]

[Kernels]
  [./diff_u]
    type = Diffusion
    variable = u
    extra_vector_tags = 'ref'
  [../]
[]

[BCs]
  [./bot]
    type = DirichletBC
    variable = u
    boundary = bottom
    value = 0.0
  [../]
  [./top]
    type = FunctionDirichletBC
    variable = u
    boundary = top
    function = 't'
  [../]
[]

[Executioner]
  type = Transient

  start_time = 0.0
  dt = 0.5
  end_time = 1.0

  [./Predictor]
    type = SimplePredictor
    scale = 1.0e-10
  [../]
[]

(modules/solid_mechanics/test/tests/tensile/random_update.i)

# Plasticity models:
# Planar tensile with strength = 1MPa
#
# Lame lambda = 1GPa.  Lame mu = 1.3GPa
#
# A line of elements is perturbed randomly, and return to the yield surface at each quadpoint is checked

[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1000
  ny = 1234
  nz = 1
  xmin = 0
  xmax = 1000
  ymin = 0
  ymax = 1234
  zmin = 0
  zmax = 1
[]

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]

[Physics/SolidMechanics/QuasiStatic]
  [./all]
    add_variables = true
    incremental = true
    strain = finite
    generate_output = 'stress_xx stress_xy stress_xz stress_yy stress_yz stress_zz'
  [../]
[]

[ICs]
  [./x]
    type = RandomIC
    min = -0.1
    max = 0.1
    variable = disp_x
  [../]
  [./y]
    type = RandomIC
    min = -0.1
    max = 0.1
    variable = disp_y
  [../]
  [./z]
    type = RandomIC
    min = -0.1
    max = 0.1
    variable = disp_z
  [../]
[]

[BCs]
  [./x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'front back'
    function = '0'
  [../]
  [./y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'front back'
    function = '0'
  [../]
  [./z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'front back'
    function = '0'
  [../]
[]

[AuxVariables]
  [./f0]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f1]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f2]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./int0]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./iter]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]

[AuxKernels]
  [./f0]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 0
    variable = f0
  [../]
  [./f1]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 1
    variable = f1
  [../]
  [./f2]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 2
    variable = f2
  [../]
  [./int0]
    type = MaterialStdVectorAux
    property = plastic_internal_parameter
    factor = 1E6
    index = 0
    variable = int0
  [../]
  [./iter]
    type = MaterialRealAux
    property = plastic_NR_iterations
    variable = iter
  [../]
[]

[Postprocessors]
  [./tot_iters]
    type = ElementIntegralMaterialProperty
    mat_prop = plastic_NR_iterations
    outputs = console
  [../]
  [./raw_f0]
    type = ElementExtremeValue
    variable = f0
    outputs = console
  [../]
  [./raw_f1]
    type = ElementExtremeValue
    variable = f1
    outputs = console
  [../]
  [./raw_f2]
    type = ElementExtremeValue
    variable = f2
    outputs = console
  [../]
  [./iter]
    type = ElementExtremeValue
    variable = iter
    outputs = console
  [../]
  [./f0]
    type = FunctionValuePostprocessor
    function = should_be_zero0_fcn
  [../]
  [./f1]
    type = FunctionValuePostprocessor
    function = should_be_zero1_fcn
  [../]
  [./f2]
    type = FunctionValuePostprocessor
    function = should_be_zero2_fcn
  [../]
[]

[Functions]
  [./should_be_zero0_fcn]
    type = ParsedFunction
    expression = 'if(a<1E-1,0,a)'
    symbol_names = 'a'
    symbol_values = 'raw_f0'
  [../]
  [./should_be_zero1_fcn]
    type = ParsedFunction
    expression = 'if(a<1E-1,0,a)'
    symbol_names = 'a'
    symbol_values = 'raw_f1'
  [../]
  [./should_be_zero2_fcn]
    type = ParsedFunction
    expression = 'if(a<1E-1,0,a)'
    symbol_names = 'a'
    symbol_values = 'raw_f2'
  [../]
[]

[UserObjects]
  [./ts]
    type = SolidMechanicsHardeningCubic
    value_0 = 1E6
    value_residual = 0
    internal_limit = 1
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    fill_method = symmetric_isotropic
    C_ijkl = '1E9 1.3E9'
  [../]
  [./tensile]
    type = TensileStressUpdate
    tensile_strength = ts
    smoothing_tol = 1E5
    max_NR_iterations = 100
    yield_function_tol = 1.0E-1
  [../]
  [./stress]
    type = ComputeMultipleInelasticStress
    inelastic_models = tensile
    perform_finite_strain_rotations = false
  [../]
[]


[Executioner]
  end_time = 1
  dt = 1
  type = Transient
[]


[Outputs]
  file_base = random_update
  exodus = false
  [./csv]
    type = CSV
    [../]
[]

(test/tests/geomsearch/2d_moving_penetration/pl_test3tt.i)

[GlobalParams]
  order = FIRST
  family = LAGRANGE
[]

[Mesh]
  file = pl_test3.e
  displacements = 'disp_x disp_y'
[]

[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
[]

[AuxVariables]
  [./distance]
  [../]
  [./tangential_distance]
  [../]
  [./normal_x]
  [../]
  [./normal_y]
  [../]
  [./closest_point_x]
  [../]
  [./closest_point_y]
  [../]
  [./element_id]
  [../]
  [./side]
  [../]
[]

[Kernels]
  [./diff_x]
    type = Diffusion
    variable = disp_x
  [../]
  [./diff_y]
    type = Diffusion
    variable = disp_y
  [../]
[]

[AuxKernels]
  [./penetrate]
    type = PenetrationAux
    variable = distance
    boundary = 11            #secondary
    paired_boundary = 12     #primary
    tangential_tolerance = 0.1
  [../]

  [./penetrate2]
    type = PenetrationAux
    variable = distance
    boundary = 12            #secondary
    paired_boundary = 11     #primary
    tangential_tolerance = 0.1
  [../]

  [./penetrate3]
    type = PenetrationAux
    variable = tangential_distance
    boundary = 11
    paired_boundary = 12
    quantity = tangential_distance
  [../]

  [./penetrate4]
    type = PenetrationAux
    variable = tangential_distance
    boundary = 12
    paired_boundary = 11
    quantity = tangential_distance
  [../]

  [./penetrate5]
    type = PenetrationAux
    variable = normal_x
    boundary = 11
    paired_boundary = 12
    quantity = normal_x
  [../]

  [./penetrate6]
    type = PenetrationAux
    variable = normal_x
    boundary = 12
    paired_boundary = 11
    quantity = normal_x
  [../]

  [./penetrate7]
    type = PenetrationAux
    variable = normal_y
    boundary = 11
    paired_boundary = 12
    quantity = normal_y
  [../]

  [./penetrate8]
    type = PenetrationAux
    variable = normal_y
    boundary = 12
    paired_boundary = 11
    quantity = normal_y
  [../]

  [./penetrate9]
    type = PenetrationAux
    variable = closest_point_x
    boundary = 11
    paired_boundary = 12
    quantity = closest_point_x
  [../]

  [./penetrate10]
    type = PenetrationAux
    variable = closest_point_x
    boundary = 12
    paired_boundary = 11
    quantity = closest_point_x
  [../]

  [./penetrate11]
    type = PenetrationAux
    variable = closest_point_y
    boundary = 11
    paired_boundary = 12
    quantity = closest_point_y
  [../]

  [./penetrate12]
    type = PenetrationAux
    variable = closest_point_y
    boundary = 12
    paired_boundary = 11
    quantity = closest_point_y
  [../]

  [./penetrate13]
    type = PenetrationAux
    variable = element_id
    boundary = 11
    paired_boundary = 12
    quantity = element_id
  [../]

  [./penetrate14]
    type = PenetrationAux
    variable = element_id
    boundary = 12
    paired_boundary = 11
    quantity = element_id
  [../]

  [./penetrate15]
    type = PenetrationAux
    variable = side
    boundary = 11
    paired_boundary = 12
    quantity = side
  [../]

  [./penetrate16]
    type = PenetrationAux
    variable = side
    boundary = 12
    paired_boundary = 11
    quantity = side
  [../]
[]

[BCs]
  [./b1x]
    type = DirichletBC
    variable = disp_x
    boundary = 1
    value = 0
  [../]

  [./b1y]
    type = DirichletBC
    variable = disp_y
    boundary = 1
    value = 0
  [../]

  [./b2x]
    type = DirichletBC
    variable = disp_x
    boundary = 2
    value = 0
  [../]

  [./b2y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 2
    function = disp_y
  [../]
[]

[Functions]
  [./disp_y]
    type = PiecewiseLinear
    x = '0.0 0.25 0.75 1.0'
    y = '0.0 2.0 -2.0  0.0'
  [../]
[]

[Executioner]
  type = Transient

  solve_type = 'PJFNK'
  petsc_options = '-snes_ksp_ew'

  nl_rel_tol = 1e-10
  l_max_its = 10

  start_time = 0.0
  dt = 0.0125
  end_time = 1.0
[]

[Outputs]
  file_base = pl_test3tt_out
  exodus = true
[]

(test/tests/bcs/nodal_normals/circle_quads.i)

[Mesh]
  file = circle-quads.e
[]

[Functions]
  [./all_bc_fn]
    type = ParsedFunction
    expression = x*x+y*y
  [../]

  [./f_fn]
    type = ParsedFunction
    expression = -4
  [../]

  [./analytical_normal_x]
    type = ParsedFunction
    expression = x
  [../]
  [./analytical_normal_y]
    type = ParsedFunction
    expression = y
  [../]
[]

[NodalNormals]
[]

[Variables]
  [./u]
  [../]
[]

[Kernels]
  [./diff]
    type = Diffusion
    variable = u
  [../]
  [./ffn]
    type = BodyForce
    variable = u
    function = f_fn
  [../]
[]

[BCs]
  [./all]
    type = FunctionDirichletBC
    variable = u
    boundary = '1'
    function = 'all_bc_fn'
  [../]
[]

[Postprocessors]
  [./nx_pps]
    type = NodalL2Error
    variable = nodal_normal_x
    boundary = '1'
    function = analytical_normal_x
  [../]
  [./ny_pps]
    type = NodalL2Error
    variable = nodal_normal_y
    boundary = '1'
    function = analytical_normal_y
  [../]
[]

[Executioner]
  type = Steady

  solve_type = 'PJFNK'
  nl_rel_tol = 1e-13
[]

[Outputs]
  execute_on = 'timestep_end'
  exodus = true
[]

(modules/heat_transfer/test/tests/gap_heat_transfer_htonly/planar_yz.i)

# 1-D Gap Heat Transfer Test without mechanics
#
# This test exercises 1-D gap heat transfer for a constant conductivity gap.
#
# The mesh consists of two element blocks in the y-z plane.  Each element block
# is a square. They sit next to one another with a unit between them.
#
# The conductivity of both blocks is set very large to achieve a uniform temperature
# across each block. The temperature of the far bottom boundary
# is ramped from 100 to 200 over one time unit.  The temperature of the far top
# boundary is held fixed at 100.
#
# A simple analytical solution is possible for the heat flux between the blocks:
#
# Flux = (T_left - T_right) * (gapK/gap_width)
#
# The gap conductivity is specified as 1, thus
#
# gapK(Tavg) = 1.0*Tavg
#
# The heat flux across the gap at time = 1 is then:
#
# Flux = 100 * (1.0/1.0) = 100
#
# For comparison, see results from the flux post processors.  These results
# are the same as for the unit 1-D gap heat transfer between two unit cubes.

[Mesh]
  [file]
    type = FileMeshGenerator
    file = simple_2D.e
  []
  [./rotate]
    type = TransformGenerator
    transform = ROTATE
    vector_value = '0 90 90'
    input = file
  [../]
[]

[Functions]
  [./temp]
    type = PiecewiseLinear
    x = '0   1   2'
    y = '100 200 200'
  [../]
[]

[ThermalContact]
  [./thermal_contact]
    type = GapHeatTransfer
    variable = temp
    primary = 3
    secondary = 2
    emissivity_primary = 0
    emissivity_secondary = 0
  [../]
[]

[Variables]
  [./temp]
    order = FIRST
    family = LAGRANGE
    initial_condition = 100
  [../]
[]

[AuxVariables]
  [./gap_cond]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]

[Kernels]
  [./heat]
    type = HeatConduction
    variable = temp
  [../]
[]


[BCs]
  [./temp_far_bottom]
    type = FunctionDirichletBC
    boundary = 1
    variable = temp
    function = temp
  [../]
  [./temp_far_top]
    type = DirichletBC
    boundary = 4
    variable = temp
    value = 100
  [../]
[]

[AuxKernels]
  [./conductance]
    type = MaterialRealAux
    property = gap_conductance
    variable = gap_cond
    boundary = 2
  [../]
[]

[Materials]
  [./heat1]
    type = HeatConductionMaterial
    block = '1 2'
    specific_heat = 1.0
    thermal_conductivity = 100000000.0
  [../]
  [./density]
    type = GenericConstantMaterial
    block = '1 2'
    prop_names = 'density'
    prop_values = '1.0'
  [../]
[]

[Executioner]
  type = Transient

  solve_type = 'PJFNK'
  petsc_options_iname = '-ksp_gmres_restart -pc_type -pc_hypre_type -pc_hypre_boomeramg_max_iter'
  petsc_options_value = '201                hypre    boomeramg      4'

  line_search = 'none'
  nl_rel_tol = 1e-12
  l_tol = 1e-3
  l_max_its = 100

  dt = 1e-1
  end_time = 1.0
[]

[Postprocessors]
  [./temp_bottom]
    type = SideAverageValue
    boundary = 2
    variable = temp
    execute_on = 'initial timestep_end'
  [../]

  [./temp_top]
    type = SideAverageValue
    boundary = 3
    variable = temp
    execute_on = 'initial timestep_end'
  [../]

  [./flux_bottom]
    type = SideDiffusiveFluxIntegral
    variable = temp
    boundary = 2
    diffusivity = thermal_conductivity
    execute_on = 'initial timestep_end'
  [../]

  [./flux_top]
    type = SideDiffusiveFluxIntegral
    variable = temp
    boundary = 3
    diffusivity = thermal_conductivity
    execute_on = 'initial timestep_end'
  [../]
[]

[Outputs]
  exodus = true
[]

(tutorials/darcy_thermo_mech/step06_coupled_darcy_heat_conduction/problems/step6a_coupled.i)

[Mesh]
  [gmg]
    type = GeneratedMeshGenerator
    dim = 2
    nx = 200
    ny = 10
    xmax = 0.304 # Length of test chamber
    ymax = 0.0257 # Test chamber radius
  []
  coord_type = RZ
  rz_coord_axis = X
[]

[Variables]
  [pressure]
  []
  [temperature]
    initial_condition = 300 # Start at room temperature
  []
[]

[Kernels]
  [darcy_pressure]
    type = DarcyPressure
    variable = pressure
  []
  [heat_conduction]
    type = ADHeatConduction
    variable = temperature
  []
  [heat_conduction_time_derivative]
    type = ADHeatConductionTimeDerivative
    variable = temperature
  []
  [heat_convection]
    type = DarcyAdvection
    variable = temperature
    pressure = pressure
  []
[]

[BCs]
  [inlet_temperature]
    type = FunctionDirichletBC
    variable = temperature
    boundary = left
    function = 'if(t<0,350+50*t,350)'
  []
  [outlet_temperature]
    type = HeatConductionOutflow
    variable = temperature
    boundary = right
  []
  [inlet]
    type = DirichletBC
    variable = pressure
    boundary = left
    value = 4000 # (Pa) From Figure 2 from paper.  First data point for 1mm spheres.
  []
  [outlet]
    type = DirichletBC
    variable = pressure
    boundary = right
    value = 0 # (Pa) Gives the correct pressure drop from Figure 2 for 1mm spheres
  []
[]

[Materials/column]
  type = PackedColumn
  temperature = temperature
  radius = 1
[]

[AuxVariables/velocity]
  order = CONSTANT
  family = MONOMIAL_VEC
[]

[AuxKernels/velocity]
  type = DarcyVelocity
  variable = velocity
  execute_on = timestep_end
  pressure = pressure
[]

[Problem]
  type = FEProblem
[]

[Executioner]
  type = Transient
  end_time = 100
  dt = 0.25
  start_time = -1

  solve_type = NEWTON
  petsc_options_iname = '-pc_type -pc_hypre_type'
  petsc_options_value = 'hypre boomeramg'

  automatic_scaling = true
  steady_state_tolerance = 1e-5
  steady_state_detection = true

  [TimeStepper]
    type = FunctionDT
    function = 'if(t<0,0.1,0.25)'
  []
[]

[Outputs]
  exodus = true
[]

(modules/solid_mechanics/test/tests/crystal_plasticity/monolithic_material_based/crysp_linesearch.i)

[Mesh]
  type = GeneratedMesh
  dim = 3
  elem_type = HEX8
  displacements = 'ux uy uz'
[]

[Variables]
  [./ux]
    block = 0
  [../]
  [./uy]
    block = 0
  [../]
  [./uz]
    block = 0
  [../]
[]

[AuxVariables]
  [./stress_zz]
    order = CONSTANT
    family = MONOMIAL
    block = 0
  [../]
  [./fp_zz]
    order = CONSTANT
    family = MONOMIAL
    block = 0
  [../]
  [./e_zz]
    order = CONSTANT
    family = MONOMIAL
    block = 0
  [../]
  [./gss1]
    order = CONSTANT
    family = MONOMIAL
    block = 0
  [../]
[]

[Functions]
  [./tdisp]
    type = ParsedFunction
    expression = 0.01*t
  [../]
[]

[Kernels]
  [SolidMechanics]
    displacements = 'ux uy uz'
    use_displaced_mesh = true
  [../]
[]

[AuxKernels]
  [./stress_zz]
    type = RankTwoAux
    variable = stress_zz
    rank_two_tensor = stress
    index_j = 2
    index_i = 2
    execute_on = timestep_end
    block = 0
  [../]
  [./fp_zz]
    type = RankTwoAux
    variable = fp_zz
    rank_two_tensor = fp
    index_j = 2
    index_i = 2
    execute_on = timestep_end
    block = 0
  [../]
  [./e_zz]
    type = RankTwoAux
    variable = e_zz
    rank_two_tensor = lage
    index_j = 2
    index_i = 2
    execute_on = timestep_end
    block = 0
  [../]
  [./gss1]
    type = MaterialStdVectorAux
    variable = gss1
    property = gss
    index = 0
    execute_on = timestep_end
    block = 0
  [../]
[]

[BCs]
  [./symmy]
    type = DirichletBC
    variable = uy
    boundary = bottom
    value = 0
  [../]
  [./symmx]
    type = DirichletBC
    variable = ux
    boundary = left
    value = 0
  [../]
  [./symmz]
    type = DirichletBC
    variable = uz
    boundary = back
    value = 0
  [../]
  [./tdisp]
    type = FunctionDirichletBC
    variable = uz
    boundary = front
    function = tdisp
  [../]
[]

[Materials]
  [./crysp]
    type = FiniteStrainCrystalPlasticity
    block = 0
    rtol = 1e-6
    abs_tol = 1e-8
    gtol = 1e-2
    slip_sys_file_name = input_slip_sys.txt
    nss = 12
    num_slip_sys_flowrate_props = 2 #Number of properties in a slip system
    flowprops = '1 4 0.001 0.1 5 8 0.001 0.1 9 12 0.001 0.1'
    hprops = '1.0 541.5 60.8 109.8 2.5'
    gprops = '1 4 60.8 5 8 60.8 9 12 60.8'
    tan_mod_type = exact
    use_line_search = true
    min_line_search_step_size = 0.01
  [../]
  [./elasticity_tensor]
    type = ComputeElasticityTensorCP
    block = 0
    C_ijkl = '1.684e5 1.214e5 1.214e5 1.684e5 1.214e5 1.684e5 0.754e5 0.754e5 0.754e5'
    fill_method = symmetric9
  [../]
  [./strain]
    type = ComputeFiniteStrain
    block = 0
    displacements = 'ux uy uz'
  [../]
[]

[Postprocessors]
  [./stress_zz]
    type = ElementAverageValue
    variable = stress_zz
    block = 'ANY_BLOCK_ID 0'
  [../]
  [./fp_zz]
    type = ElementAverageValue
    variable = fp_zz
    block = 'ANY_BLOCK_ID 0'
  [../]
  [./e_zz]
    type = ElementAverageValue
    variable = e_zz
    block = 'ANY_BLOCK_ID 0'
  [../]
  [./gss1]
    type = ElementAverageValue
    variable = gss1
    block = 'ANY_BLOCK_ID 0'
  [../]
[]

[Preconditioning]
  [./smp]
    type = SMP
    full = true
  [../]
[]

[Executioner]
  type = Transient

  #Preconditioned JFNK (default)
  solve_type = 'PJFNK'

  petsc_options_iname = '-pc_type'
  petsc_options_value = 'lu'

  nl_rel_tol = 1e-10
  nl_abs_tol = 1e-10

  dt = 0.025
  dtmax = 10.0
  dtmin = 0.02

  num_steps = 10
[]

[Outputs]
  file_base = crysp_lsearch_out
  exodus = true
[]

(modules/solid_mechanics/test/tests/mohr_coulomb/except3.i)

# checking for exception error messages on the edge smoothing
# here edge_smoother=5deg, which means the friction_angle must be <= 35.747
[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]


[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
[]

[Kernels]
  [SolidMechanics]
    displacements = 'disp_x disp_y disp_z'
  [../]
[]


[BCs]
  [./x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'front back'
    function = '1E-6*x'
  [../]
  [./y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'front back'
    function = '1E-6*y'
  [../]
  [./z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'front back'
    function = '1E-6*z'
  [../]
[]

[AuxVariables]
  [./stress_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]

[AuxKernels]
  [./stress_xx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xx
    index_i = 0
    index_j = 0
  [../]
  [./stress_xy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xy
    index_i = 0
    index_j = 1
  [../]
  [./stress_xz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xz
    index_i = 0
    index_j = 2
  [../]
  [./stress_yy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yy
    index_i = 1
    index_j = 1
  [../]
  [./stress_yz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yz
    index_i = 1
    index_j = 2
  [../]
  [./stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zz
    index_i = 2
    index_j = 2
  [../]
[]

[Postprocessors]
  [./s_xx]
    type = PointValue
    point = '0 0 0'
    variable = stress_xx
  [../]
  [./s_xy]
    type = PointValue
    point = '0 0 0'
    variable = stress_xy
  [../]
  [./s_xz]
    type = PointValue
    point = '0 0 0'
    variable = stress_xz
  [../]
  [./s_yy]
    type = PointValue
    point = '0 0 0'
    variable = stress_yy
  [../]
  [./s_yz]
    type = PointValue
    point = '0 0 0'
    variable = stress_yz
  [../]
  [./s_zz]
    type = PointValue
    point = '0 0 0'
    variable = stress_zz
  [../]
[]

[UserObjects]
  [./mc_coh]
    type = SolidMechanicsHardeningConstant
    value = 10
  [../]
  [./mc_phi]
    type = SolidMechanicsHardeningConstant
    value = 36
    convert_to_radians = true
  [../]
  [./mc_psi]
    type = SolidMechanicsHardeningConstant
    value = 5
    convert_to_radians = true
  [../]
  [./mc]
    type = SolidMechanicsPlasticMohrCoulomb
    cohesion = mc_coh
    friction_angle = mc_phi
    dilation_angle = mc_psi
    mc_tip_smoother = 1
    mc_edge_smoother = 5
    yield_function_tolerance = 1E-3
    internal_constraint_tolerance = 1E-9
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    block = 0
    fill_method = symmetric_isotropic
    C_ijkl = '0 1E7'
  [../]
  [./strain]
    type = ComputeFiniteStrain
    block = 0
    displacements = 'disp_x disp_y disp_z'
  [../]
  [./mc]
    type = ComputeMultiPlasticityStress
    block = 0
    ep_plastic_tolerance = 1E-9
    plastic_models = mc
    debug_fspb = crash
    debug_jac_at_stress = '10 0 0 0 10 0 0 0 10'
    debug_jac_at_pm = 1
    debug_jac_at_intnl = 1
    debug_stress_change = 1E-5
    debug_pm_change = 1E-6
    debug_intnl_change = 1E-6
  [../]
[]


[Executioner]
  end_time = 1
  dt = 1
  type = Transient
[]


[Outputs]
  file_base = except3
  exodus = false
  [./csv]
    type = CSV
    [../]
[]

(modules/combined/test/tests/gap_heat_transfer_convex/gap_heat_transfer_convex.i)

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
  temperature = temp
[]

[Mesh]
  file = gap_heat_transfer_convex.e
[]

[Functions]
  [./disp]
    type = PiecewiseLinear
    x = '0 2.0'
    y = '0 1.0'
  [../]
  [./temp]
    type = PiecewiseLinear
    x = '0     1'
    y = '200 200'
  [../]
[]

[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]

  [./temp]
    initial_condition = 100
  [../]
[]

[ThermalContact]
  [./thermal_contact]
    type = GapHeatTransfer
    variable = temp
    primary = 2
    secondary = 3
    emissivity_primary = 0
    emissivity_secondary = 0
  [../]
[]

[Physics/SolidMechanics/QuasiStatic/All]
  volumetric_locking_correction = true
  strain = FINITE
  eigenstrain_names = eigenstrain
[]

[Kernels]
  [./heat]
    type = HeatConduction
    variable = temp
  [../]
[]

[BCs]
  [./move_right]
    type = FunctionDirichletBC
    boundary = '3'
    variable = disp_x
    function = disp
  [../]

  [./fixed_x]
    type = DirichletBC
    boundary = '1'
    variable = disp_x
    value = 0
  [../]
  [./fixed_y]
    type = DirichletBC
    boundary = '1 2 3 4'
    variable = disp_y
    value = 0
  [../]
  [./fixed_z]
    type = DirichletBC
    boundary = '1 2 3 4'
    variable = disp_z
    value = 0
  [../]

  [./temp_bottom]
    type = FunctionDirichletBC
    boundary = 1
    variable = temp
    function = temp
  [../]
  [./temp_top]
    type = DirichletBC
    boundary = 4
    variable = temp
    value = 100
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeIsotropicElasticityTensor
    block = '1 2'
    youngs_modulus = 1e6
    poissons_ratio = 0.3
  [../]
  [./thermal_strain]
    type = ComputeThermalExpansionEigenstrain
    stress_free_temperature = 100
    thermal_expansion_coeff = 0
    eigenstrain_name = eigenstrain
  [../]
  [./stress]
    type = ComputeFiniteStrainElasticStress
  [../]

  [./heat1]
    type = HeatConductionMaterial
    block = 1

    specific_heat = 1.0
    thermal_conductivity = 1.0
  [../]
  [./heat2]
    type = HeatConductionMaterial
    block = 2

    specific_heat = 1.0
    thermal_conductivity = 1.0
  [../]

  [./density]
    type = Density
    block = '1 2'
    density = 1.0
  [../]
[]

[Executioner]
  type = Transient
  solve_type = 'PJFNK'

  start_time = 0.0
  dt = 0.1
  end_time = 2.0
[]

[Outputs]
  exodus = true
[]

(modules/contact/test/tests/bouncing-block-contact/ping-ponging/ranfs-ping-pong.i)

starting_point = 2e-1
offset = 1e-2

[GlobalParams]
  displacements = 'disp_x disp_y'
[]

[Mesh]
  file = long-bottom-block-no-lower-d.e
[]

[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
[]

[ICs]
  [./disp_y]
    block = 2
    variable = disp_y
    value = ${fparse starting_point + offset}
    type = ConstantIC
  [../]
[]

[Physics/SolidMechanics/QuasiStatic]
  [all]
    add_variables = false
    use_automatic_differentiation = true
    strain = SMALL
  []
[]

[Materials]
  [elasticity]
    type = ADComputeIsotropicElasticityTensor
    youngs_modulus = 1e0
    poissons_ratio = 0.3
  []
  [stress]
    type = ADComputeLinearElasticStress
  []
[]

[Constraints]
  [./disp_x]
    type = RANFSNormalMechanicalContact
    secondary = 10
    primary = 20
    variable = disp_x
    primary_variable = disp_x
    component = x
  [../]
  [./disp_y]
    type = RANFSNormalMechanicalContact
    secondary = 10
    primary = 20
    variable = disp_y
    primary_variable = disp_y
    component = y
  [../]
[]

[BCs]
  [./botx]
    type = DirichletBC
    variable = disp_x
    boundary = 40
    value = 0.0
  [../]
  [./boty]
    type = DirichletBC
    variable = disp_y
    boundary = 40
    value = 0.0
  [../]
  [./topy]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 30
    function = '${starting_point} * cos(2 * pi / 40 * t) + ${offset}'
  [../]
  [./leftx]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 50
    function = '1e-2 * t'
  [../]
[]

[Executioner]
  type = Transient
  num_steps = 19
  end_time = 200
  dt = 5
  dtmin = 5
  solve_type = 'PJFNK'
  petsc_options = '-snes_converged_reason -ksp_converged_reason'
  petsc_options_iname = '-pc_type -pc_hypre_type -mat_mffd_err'
  petsc_options_value = 'hypre    boomeramg      1e-5'
  l_max_its = 30
  nl_max_its = 20
  line_search = 'none'
  snesmf_reuse_base = false
[]

[Debug]
  show_var_residual_norms = true
[]

[Outputs]
  [exo]
    type = Exodus
  []
[]

[Preconditioning]
  [./smp]
    type = SMP
    full = true
  [../]
[]

(modules/contact/test/tests/bouncing-block-contact/frictionless-penalty-weighted-gap.i)

starting_point = 2e-1
offset = 1e-2

[GlobalParams]
  displacements = 'disp_x disp_y'
  diffusivity = 1e0
  scaling = 1e0
  preset = false
[]

[Mesh]
  file = long-bottom-block-1elem-blocks.e
[]

[Variables]
  [disp_x]
    block = '1 2'
  []
  [disp_y]
    block = '1 2'
  []
[]

[ICs]
  [disp_y]
    block = 2
    variable = disp_y
    value = '${fparse starting_point + offset}'
    type = ConstantIC
  []
[]

[Kernels]
  [disp_x]
    type = MatDiffusion
    variable = disp_x
  []
  [disp_y]
    type = MatDiffusion
    variable = disp_y
  []
[]

[UserObjects]
  [weighted_gap_uo]
    type = PenaltyWeightedGapUserObject
    primary_boundary = 20
    secondary_boundary = 10
    primary_subdomain = 4
    secondary_subdomain = 3
    disp_x = disp_x
    disp_y = disp_y
    penalty = 1e0
    use_physical_gap = true
  []
[]

[Constraints]
  [normal_x]
    type = NormalMortarMechanicalContact
    primary_boundary = 20
    secondary_boundary = 10
    primary_subdomain = 4
    secondary_subdomain = 3
    secondary_variable = disp_x
    component = x
    use_displaced_mesh = true
    compute_lm_residuals = false
    weighted_gap_uo = weighted_gap_uo
  []
  [normal_y]
    type = NormalMortarMechanicalContact
    primary_boundary = 20
    secondary_boundary = 10
    primary_subdomain = 4
    secondary_subdomain = 3
    secondary_variable = disp_y
    component = y
    use_displaced_mesh = true
    compute_lm_residuals = false
    weighted_gap_uo = weighted_gap_uo
  []
[]

[BCs]
  [botx]
    type = DirichletBC
    variable = disp_x
    boundary = 40
    value = 0.0
  []
  [boty]
    type = DirichletBC
    variable = disp_y
    boundary = 40
    value = 0.0
  []
  [topy]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 30
    function = '${starting_point} * cos(2 * pi / 40 * t) + ${offset}'
  []
  [leftx]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 50
    function = '1e-2 * t'
  []
[]

[Executioner]
  type = Transient
  end_time = 200
  dt = 5
  dtmin = .1
  solve_type = 'PJFNK'
  petsc_options = '-snes_converged_reason -ksp_converged_reason -pc_svd_monitor -snes_linesearch_monitor'
  petsc_options_iname = '-pc_type -pc_factor_shift_type -pc_factor_shift_amount -mat_mffd_err'
  petsc_options_value = 'lu       NONZERO               1e-15                   1e-5'
  l_max_its = 30
  nl_max_its = 20
  line_search = 'none'
  snesmf_reuse_base = true
  abort_on_solve_fail = true
  nl_rel_tol = 1e-13
[]

[Debug]
  show_var_residual_norms = true
[]

[Outputs]
  exodus = true
[]

[Preconditioning]
  [smp]
    type = SMP
    full = true
  []
[]

[Postprocessors]
  [num_nl]
    type = NumNonlinearIterations
  []
  [cumulative]
    type = CumulativeValuePostprocessor
    postprocessor = num_nl
  []
[]

(modules/solid_mechanics/test/tests/crystal_plasticity/user_object_based/orthotropic_rotation_Cijkl.i)

# This test is designed to test the correct application of the Euler angle
# rotations to the elasticity tensor. The test uses values for the nine C_ijkl
# entries that correspond to the engineering notation placement:
#  e.g. C11 = 11e3, c12 = 12e3, c13 = 13e3, c22 = 22e3 ..... c66 = 66e3
#
# A rotation of (0, 90, 0) is applied to the 1x1x1 cube, such that the values of
# c12 and c13 switch, c22 and c33 switch, and c55 and c66 switch. Postprocessors
# are used to verify this switch (made simple with the value convention above)
# and to verify that the unrotated components along the x-axis remain constant.

[Mesh]
  type = GeneratedMesh
  dim = 3
[]

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]

[AuxVariables]
  [./lage_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./lage_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./pk2_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./lage_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./fp_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./c11]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./c12]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./c13]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./c22]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./c23]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./c33]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./c44]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./c55]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./c66]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]

[Functions]
  [./tdisp]
    type = ParsedFunction
    expression = 0.01*t
  [../]
[]

[Physics/SolidMechanics/QuasiStatic]
  [./all]
    strain = FINITE
    add_variables = true
  [../]
[]

[AuxKernels]
  [./lage_xx]
    type = RankTwoAux
    rank_two_tensor = lage
    variable = lage_xx
    index_i = 0
    index_j = 0
    execute_on = timestep_end
  [../]
  [./lage_yy]
    type = RankTwoAux
    rank_two_tensor = lage
    variable = lage_yy
    index_i = 1
    index_j = 1
    execute_on = timestep_end
  [../]
  [./pk2_yy]
    type = RankTwoAux
    variable = pk2_yy
    rank_two_tensor = pk2
    index_j = 1
    index_i = 1
    execute_on = timestep_end
  [../]
  [./lage_zz]
    type = RankTwoAux
    rank_two_tensor = lage
    variable = lage_zz
    index_i = 2
    index_j = 2
    execute_on = timestep_end
  [../]
  [./fp_yy]
    type = RankTwoAux
    variable = fp_yy
    rank_two_tensor = fp
    index_i = 1
    index_j = 1
    execute_on = timestep_end
  [../]
  [./c11]
    type = RankFourAux
    variable = c11
    rank_four_tensor = elasticity_tensor
    index_i = 0
    index_j = 0
    index_k = 0
    index_l = 0
    execute_on = timestep_end
  [../]
  [./c12]
    type = RankFourAux
    variable = c12
    rank_four_tensor = elasticity_tensor
    index_i = 0
    index_j = 0
    index_k = 1
    index_l = 1
    execute_on = timestep_end
  [../]
  [./c13]
    type = RankFourAux
    variable = c13
    rank_four_tensor = elasticity_tensor
    index_i = 0
    index_j = 0
    index_k = 2
    index_l = 2
    execute_on = timestep_end
  [../]
  [./c22]
    type = RankFourAux
    variable = c22
    rank_four_tensor = elasticity_tensor
    index_i = 1
    index_j = 1
    index_k = 1
    index_l = 1
    execute_on = timestep_end
  [../]
  [./c23]
    type = RankFourAux
    variable = c23
    rank_four_tensor = elasticity_tensor
    index_i = 1
    index_j = 1
    index_k = 2
    index_l = 2
    execute_on = timestep_end
  [../]
  [./c33]
    type = RankFourAux
    variable = c33
    rank_four_tensor = elasticity_tensor
    index_i = 2
    index_j = 2
    index_k = 2
    index_l = 2
    execute_on = timestep_end
  [../]
  [./c44]
    type = RankFourAux
    variable = c44
    rank_four_tensor = elasticity_tensor
    index_i = 1
    index_j = 2
    index_k = 1
    index_l = 2
    execute_on = timestep_end
  [../]
  [./c55]
    type = RankFourAux
    variable = c55
    rank_four_tensor = elasticity_tensor
    index_i = 2
    index_j = 0
    index_k = 2
    index_l = 0
    execute_on = timestep_end
  [../]
  [./c66]
    type = RankFourAux
    variable = c66
    rank_four_tensor = elasticity_tensor
    index_i = 0
    index_j = 1
    index_k = 0
    index_l = 1
    execute_on = timestep_end
  [../]
[]

[BCs]
  [./bottom]
    type = DirichletBC
    variable = disp_y
    boundary = bottom
    value = 0
  [../]
  [./left]
    type = DirichletBC
    variable = disp_x
    boundary = left
    value = 0
  [../]
  [./back]
    type = DirichletBC
    variable = disp_z
    boundary = back
    value = 0
  [../]
  [./top]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = top
    function = tdisp
  [../]
[]

[Materials]
  [./crysp]
    type = FiniteStrainUObasedCP
    stol = 1e-2
    tan_mod_type = exact
    uo_slip_rates = 'slip_rate_gss'
    uo_slip_resistances = 'slip_resistance_gss'
    uo_state_vars = 'state_var_gss'
    uo_state_var_evol_rate_comps = 'state_var_evol_rate_comp_gss'
  [../]
  [./elasticity_tensor]
    type = ComputeElasticityTensorCP
    C_ijkl = '11e3 12e3 13e3 22e3 23e3 33e3 44e3 55e3 66e3'
    fill_method = symmetric9
    euler_angle_1 = 0.0
    euler_angle_2 = 45.0
    euler_angle_3 = 45.0
  [../]
[]

[UserObjects]
  [./slip_rate_gss]
    type = CrystalPlasticitySlipRateGSS
    variable_size = 12
    slip_sys_file_name = input_slip_sys.txt
    num_slip_sys_flowrate_props = 2
    flowprops = '1 4 0.001 0.1 5 8 0.001 0.1 9 12 0.001 0.1'
    uo_state_var_name = state_var_gss
  [../]
  [./slip_resistance_gss]
    type = CrystalPlasticitySlipResistanceGSS
    variable_size = 12
    uo_state_var_name = state_var_gss
  [../]
  [./state_var_gss]
    type = CrystalPlasticityStateVariable
    variable_size = 12
    groups = '0 4 8 12'
    group_values = '60.8 60.8 60.8' #strength units in MPa
    uo_state_var_evol_rate_comp_name = state_var_evol_rate_comp_gss
    scale_factor = 1.0
  [../]
  [./state_var_evol_rate_comp_gss]
    type = CrystalPlasticityStateVarRateComponentGSS
    variable_size = 12
    hprops = '1.0 541.5 109.8 2.5'
    uo_slip_rate_name = slip_rate_gss
    uo_state_var_name = state_var_gss
  [../]
[]

[Postprocessors]
  [./lage_xx]
    type = ElementAverageValue
    variable = lage_xx
  [../]
  [./pk2_yy]
    type = ElementAverageValue
    variable = pk2_yy
  [../]
  [./lage_yy]
    type = ElementAverageValue
    variable = lage_yy
  [../]
  [./lage_zz]
    type = ElementAverageValue
    variable = lage_zz
  [../]
  [./fp_yy]
    type = ElementAverageValue
    variable = fp_yy
  [../]
  [./c11]
    type = ElementAverageValue
    variable = c11
  [../]
  [./c12]
    type = ElementAverageValue
    variable = c12
  [../]
  [./c13]
    type = ElementAverageValue
    variable = c13
  [../]
  [./c22]
    type = ElementAverageValue
    variable = c22
  [../]
  [./c23]
    type = ElementAverageValue
    variable = c23
  [../]
  [./c33]
    type = ElementAverageValue
    variable = c33
  [../]
  [./c44]
    type = ElementAverageValue
    variable = c44
  [../]
  [./c55]
    type = ElementAverageValue
    variable = c55
  [../]
  [./c66]
    type = ElementAverageValue
    variable = c66
  [../]
[]

[Executioner]
  type = Transient
  solve_type = PJFNK

  l_tol = 1e-3
  petsc_options_iname = '-pc_type -pc_asm_overlap -sub_pc_type -ksp_type -ksp_gmres_restart'
  petsc_options_value = ' asm      1              lu            gmres     200'
  nl_abs_tol = 1e-10
  nl_rel_tol = 1e-10

  dtmax = 0.1
  dtmin = 1.0e-3
  dt = 0.05
  end_time = 0.5
[]

[Outputs]
  exodus = false
  csv = true
[]

(test/tests/multiapps/restart_subapp_ic/parent.i)

[Mesh]
  type = GeneratedMesh
  dim = 2
  xmin = 0
  ymin = 0
  xmax = 1
  ymax = 1
  nx = 10
  ny = 10
[]

[Functions]
  [v_fn]
    type = ParsedFunction
    expression = t*x
  []
  [ffn]
    type = ParsedFunction
    expression = x
  []
[]

[AuxVariables]
  [v]
  []
[]

[Variables]
  [u]
  []
[]

[Kernels]
  [diff]
    type = Diffusion
    variable = u
  []
  [td]
    type = TimeDerivative
    variable = u
  []
  [ufn]
    type = BodyForce
    variable = u
    function = ffn
  []
[]

[BCs]
  [all]
    type = FunctionDirichletBC
    variable = u
    boundary = 'left right top bottom'
    function = v_fn
  []
[]

[Executioner]
  type = Transient
  num_steps = 5
  dt = 0.1
  solve_type = 'PJFNK'
[]

[Outputs]
  exodus = true
  checkpoint = true
[]

[MultiApps]
  [sub_app]
    app_type = MooseTestApp
    type = TransientMultiApp
    input_files = 'sub.i'
    execute_on = timestep_end
    positions = '0 -1 0'
  []
[]

[Transfers]
  [from_sub]
    type = MultiAppGeneralFieldNearestLocationTransfer
    from_multi_app = sub_app
    source_variable = u
    variable = v
  []
[]

(modules/combined/test/tests/elastic_patch/elastic_patch_rz.i)

#
# This problem is taken from the Abaqus verification manual:
#   "1.5.4 Patch test for axisymmetric elements"
# The stress solution is given as:
#   xx = yy = zz = 2000
#   xy = 400
#
# Since the strain is 1e-3 in all three directions, the new density should be
#   new_density = original_density * V_0 / V
#   new_density = 0.283 / (1 + 1e-3 + 1e-3 + 1e-3) = 0.282153

[GlobalParams]
  displacements = 'disp_x disp_y'
  temperature = temp
[]

[Mesh]
  file = elastic_patch_rz.e
  coord_type = RZ
[]

[Variables]
  [temp]
    initial_condition = 117.56
  []
[]

[Physics/SolidMechanics/QuasiStatic/All]
  strain = SMALL
  incremental = true
  add_variables = true
  generate_output = 'stress_xx stress_yy stress_zz stress_xy stress_yz stress_zx'
[]

[Kernels]
  [body]
    type = BodyForce
    variable = disp_y
    value = 1
    function = '-400/x'
  []

  [heat]
    type = TimeDerivative
    variable = temp
  []
[]

[BCs]
  [ur]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 10
    function = '1e-3*x'
  []
  [uz]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 10
    function = '1e-3*(x+y)'
  []
[]

[Materials]
  [elasticity_tensor]
    type = ComputeIsotropicElasticityTensor
    youngs_modulus = 1e6
    poissons_ratio = 0.25
  []
  [stress]
    type = ComputeStrainIncrementBasedStress
  []

  [density]
    type = Density
    density = 0.283
    outputs = all
  []
[]

[Executioner]
  type = Transient
  solve_type = 'PJFNK'

  end_time = 1.0
[]

[Outputs]
  [out]
    type = Exodus
    elemental_as_nodal = true
  []
[]

(modules/porous_flow/test/tests/poro_elasticity/mandel_fully_saturated_volume.i)

# Mandel's problem of consolodation of a drained medium
# Using the FullySaturatedDarcyBase and FullySaturatedFullySaturatedMassTimeDerivative kernels
# with multiply_by_density = false, so that this problem becomes linear
#
# A sample is in plane strain.
# -a <= x <= a
# -b <= y <= b
# It is squashed with constant force by impermeable, frictionless plattens on its top and bottom surfaces (at y=+/-b)
# Fluid is allowed to leak out from its sides (at x=+/-a)
# The porepressure within the sample is monitored.
#
# As is common in the literature, this is simulated by
# considering the quarter-sample, 0<=x<=a and 0<=y<=b, with
# impermeable, roller BCs at x=0 and y=0 and y=b.
# Porepressure is fixed at zero on x=a.
# Porepressure and displacement are initialised to zero.
# Then the top (y=b) is moved downwards with prescribed velocity,
# so that the total force that is inducing this downwards velocity
# is fixed.  The velocity is worked out by solving Mandel's problem
# analytically, and the total force is monitored in the simulation
# to check that it indeed remains constant.
#
# Here are the problem's parameters, and their values:
# Soil width.  a = 1
# Soil height.  b = 0.1
# Soil's Lame lambda.  la = 0.5
# Soil's Lame mu, which is also the Soil's shear modulus.  mu = G = 0.75
# Soil bulk modulus.  K = la + 2*mu/3 = 1
# Drained Poisson ratio.  nu = (3K - 2G)/(6K + 2G) = 0.2
# Soil bulk compliance.  1/K = 1
# Fluid bulk modulus.  Kf = 8
# Fluid bulk compliance.  1/Kf = 0.125
# Soil initial porosity.  phi0 = 0.1
# Biot coefficient.  alpha = 0.6
# Biot modulus.  M = 1/(phi0/Kf + (alpha - phi0)(1 - alpha)/K) = 4.705882
# Undrained bulk modulus. Ku = K + alpha^2*M = 2.694118
# Undrained Poisson ratio.  nuu = (3Ku - 2G)/(6Ku + 2G) = 0.372627
# Skempton coefficient.  B = alpha*M/Ku = 1.048035
# Fluid mobility (soil permeability/fluid viscosity).  k = 1.5
# Consolidation coefficient.  c = 2*k*B^2*G*(1-nu)*(1+nuu)^2/9/(1-nuu)/(nuu-nu) = 3.821656
# Normal stress on top.  F = 1
#
# The solution for porepressure and displacements is given in
# AHD Cheng and E Detournay "A direct boundary element method for plane strain poroelasticity" International Journal of Numerical and Analytical Methods in Geomechanics 12 (1988) 551-572.
# The solution involves complicated infinite series, so I shall not write it here

[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 10
  ny = 1
  nz = 1
  xmin = 0
  xmax = 1
  ymin = 0
  ymax = 0.1
  zmin = 0
  zmax = 1
[]

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
  PorousFlowDictator = dictator
  block = 0
[]

[UserObjects]
  [dictator]
    type = PorousFlowDictator
    porous_flow_vars = 'porepressure disp_x disp_y disp_z'
    number_fluid_phases = 1
    number_fluid_components = 1
  []
[]

[Variables]
  [disp_x]
  []
  [disp_y]
  []
  [disp_z]
  []
  [porepressure]
  []
[]

[BCs]
  [roller_xmin]
    type = DirichletBC
    variable = disp_x
    value = 0
    boundary = 'left'
  []
  [roller_ymin]
    type = DirichletBC
    variable = disp_y
    value = 0
    boundary = 'bottom'
  []
  [plane_strain]
    type = DirichletBC
    variable = disp_z
    value = 0
    boundary = 'back front'
  []
  [xmax_drained]
    type = DirichletBC
    variable = porepressure
    value = 0
    boundary = right
  []
  [top_velocity]
    type = FunctionDirichletBC
    variable = disp_y
    function = top_velocity
    boundary = top
  []
[]

[Functions]
  [top_velocity]
    type = PiecewiseLinear
    x = '0 0.002 0.006   0.014   0.03    0.046   0.062   0.078   0.094   0.11    0.126   0.142   0.158   0.174   0.19 0.206 0.222 0.238 0.254 0.27 0.286 0.302 0.318 0.334 0.35 0.366 0.382 0.398 0.414 0.43 0.446 0.462 0.478 0.494 0.51 0.526 0.542 0.558 0.574 0.59 0.606 0.622 0.638 0.654 0.67 0.686 0.702'
    y = '-0.041824842    -0.042730269    -0.043412712    -0.04428867     -0.045509181    -0.04645965     -0.047268246 -0.047974749      -0.048597109     -0.0491467  -0.049632388     -0.050061697      -0.050441198     -0.050776675     -0.051073238      -0.0513354 -0.051567152      -0.051772022     -0.051953128 -0.052113227 -0.052254754 -0.052379865 -0.052490464 -0.052588233 -0.052674662 -0.052751065 -0.052818606 -0.052878312 -0.052931093 -0.052977751 -0.053018997 -0.053055459 -0.053087691 -0.053116185 -0.053141373 -0.05316364 -0.053183324 -0.053200724 -0.053216106 -0.053229704 -0.053241725 -0.053252351 -0.053261745 -0.053270049 -0.053277389 -0.053283879 -0.053289615'
  []
[]

[AuxVariables]
  [stress_yy]
    order = CONSTANT
    family = MONOMIAL
  []
  [tot_force]
    order = CONSTANT
    family = MONOMIAL
  []
[]

[AuxKernels]
  [stress_yy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yy
    index_i = 1
    index_j = 1
  []
  [tot_force]
    type = ParsedAux
    coupled_variables = 'stress_yy porepressure'
    execute_on = timestep_end
    variable = tot_force
    expression = '-stress_yy+0.6*porepressure'
  []
[]

[Kernels]
  [grad_stress_x]
    type = StressDivergenceTensors
    variable = disp_x
    component = 0
  []
  [grad_stress_y]
    type = StressDivergenceTensors
    variable = disp_y
    component = 1
  []
  [grad_stress_z]
    type = StressDivergenceTensors
    variable = disp_z
    component = 2
  []
  [poro_x]
    type = PorousFlowEffectiveStressCoupling
    biot_coefficient = 0.6
    variable = disp_x
    component = 0
  []
  [poro_y]
    type = PorousFlowEffectiveStressCoupling
    biot_coefficient = 0.6
    variable = disp_y
    component = 1
  []
  [poro_z]
    type = PorousFlowEffectiveStressCoupling
    biot_coefficient = 0.6
    component = 2
    variable = disp_z
  []
  [mass0]
    type = PorousFlowFullySaturatedMassTimeDerivative
    biot_coefficient = 0.6
    multiply_by_density = false
    coupling_type = HydroMechanical
    variable = porepressure
  []
  [flux]
    type = PorousFlowFullySaturatedDarcyBase
    multiply_by_density = false
    variable = porepressure
    gravity = '0 0 0'
  []
[]

[FluidProperties]
  [simple_fluid]
    type = SimpleFluidProperties
    bulk_modulus = 8
    density0 = 1
    thermal_expansion = 0
    viscosity = 1
  []
[]

[Materials]
  [temperature]
    type = PorousFlowTemperature
  []
  [elasticity_tensor]
    type = ComputeElasticityTensor
    C_ijkl = '0.5 0.75'
    # bulk modulus is lambda + 2*mu/3 = 0.5 + 2*0.75/3 = 1
    fill_method = symmetric_isotropic
  []
  [strain]
    type = ComputeSmallStrain
  []
  [stress]
    type = ComputeLinearElasticStress
  []
  [eff_fluid_pressure_qp]
    type = PorousFlowEffectiveFluidPressure
  []
  [vol_strain]
    type = PorousFlowVolumetricStrain
  []
  [ppss]
    type = PorousFlow1PhaseFullySaturated
    porepressure = porepressure
  []
  [massfrac]
    type = PorousFlowMassFraction
  []
  [simple_fluid_qp]
    type = PorousFlowSingleComponentFluid
    fp = simple_fluid
    phase = 0
  []
  [porosity]
    type = PorousFlowPorosityConst # only the initial value of this is ever used
    porosity = 0.1
  []
  [biot_modulus]
    type = PorousFlowConstantBiotModulus
    biot_coefficient = 0.6
    solid_bulk_compliance = 1
    fluid_bulk_modulus = 8
  []
  [permeability]
    type = PorousFlowPermeabilityConst
    permeability = '1.5 0 0   0 1.5 0   0 0 1.5'
  []
[]

[Postprocessors]
  [p0]
    type = PointValue
    outputs = csv
    point = '0.0 0 0'
    variable = porepressure
  []
  [p1]
    type = PointValue
    outputs = csv
    point = '0.1 0 0'
    variable = porepressure
  []
  [p2]
    type = PointValue
    outputs = csv
    point = '0.2 0 0'
    variable = porepressure
  []
  [p3]
    type = PointValue
    outputs = csv
    point = '0.3 0 0'
    variable = porepressure
  []
  [p4]
    type = PointValue
    outputs = csv
    point = '0.4 0 0'
    variable = porepressure
  []
  [p5]
    type = PointValue
    outputs = csv
    point = '0.5 0 0'
    variable = porepressure
  []
  [p6]
    type = PointValue
    outputs = csv
    point = '0.6 0 0'
    variable = porepressure
  []
  [p7]
    type = PointValue
    outputs = csv
    point = '0.7 0 0'
    variable = porepressure
  []
  [p8]
    type = PointValue
    outputs = csv
    point = '0.8 0 0'
    variable = porepressure
  []
  [p9]
    type = PointValue
    outputs = csv
    point = '0.9 0 0'
    variable = porepressure
  []
  [p99]
    type = PointValue
    outputs = csv
    point = '1 0 0'
    variable = porepressure
  []
  [xdisp]
    type = PointValue
    outputs = csv
    point = '1 0.1 0'
    variable = disp_x
  []
  [ydisp]
    type = PointValue
    outputs = csv
    point = '1 0.1 0'
    variable = disp_y
  []
  [total_downwards_force]
     type = ElementAverageValue
     outputs = csv
     variable = tot_force
  []
  [dt]
    type = FunctionValuePostprocessor
    outputs = console
    function = if(0.15*t<0.01,0.15*t,0.01)
  []
[]

[Preconditioning]
  [andy]
    type = SMP
    full = true
    petsc_options_iname = '-ksp_type -pc_type -sub_pc_type -snes_atol -snes_rtol -snes_max_it'
    petsc_options_value = 'gmres asm lu 1E-14 1E-10 10000'
  []
[]

[Executioner]
  type = Transient
  solve_type = Newton
  start_time = 0
  end_time = 0.7
  [TimeStepper]
    type = PostprocessorDT
    postprocessor = dt
    dt = 0.001
  []
[]

[Outputs]
  execute_on = 'timestep_end'
  file_base = mandel_fully_saturated_volume
  [csv]
    time_step_interval = 3
    type = CSV
  []
[]

(modules/porous_flow/test/tests/poro_elasticity/vol_expansion_poroperm.i)

# Apply an increasing porepressure, with zero mechanical forces,
# and observe the corresponding volumetric expansion and porosity increase.
# Check that permeability is calculated correctly from porosity.
#
# P = t
# With the Biot coefficient being 1, the effective stresses should be
# stress_xx = stress_yy = stress_zz = t
# With bulk modulus = 1 then should have
# vol_strain = strain_xx + strain_yy + strain_zz = t.
#
# With the biot coefficient being 1, the porosity (phi) # at time t is:
# phi = 1 - (1 - phi0) / exp(vol_strain)
# where phi0 is the porosity at t = 0 and P = 0.
#
# The permeability (k) is
# k = k_anisotropic * f * d^2 * phi^n / (1-phi)^m

[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = 0
  xmax = 1
  ymin = 0
  ymax = 1
  zmin = 0
  zmax = 1
[]

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
  block = 0
  PorousFlowDictator = dictator
[]

[Variables]
  [disp_x]
  []
  [disp_y]
  []
  [disp_z]
  []
  [p]
  []
[]

[BCs]
  [p]
    type = FunctionDirichletBC
    boundary = 'bottom top'
    variable = p
    function = t
  []
  [xmin]
    type = DirichletBC
    boundary = left
    variable = disp_x
    value = 0
  []
  [ymin]
    type = DirichletBC
    boundary = bottom
    variable = disp_y
    value = 0
  []
  [zmin]
    type = DirichletBC
    boundary = back
    variable = disp_z
    value = 0
  []
[]

[Kernels]
  [p_does_not_really_diffuse]
    type = Diffusion
    variable = p
  []
  [TensorMechanics]
    displacements = 'disp_x disp_y disp_z'
  []
  [poro_x]
    type = PorousFlowEffectiveStressCoupling
    biot_coefficient = 1
    variable = disp_x
    component = 0
  []
  [poro_y]
    type = PorousFlowEffectiveStressCoupling
    biot_coefficient = 1
    variable = disp_y
    component = 1
  []
  [poro_z]
    type = PorousFlowEffectiveStressCoupling
    biot_coefficient = 1
    variable = disp_z
    component = 2
  []
[]

[AuxVariables]
  [poro]
    order = CONSTANT
    family = MONOMIAL
  []
  [perm_x]
    order = CONSTANT
    family = MONOMIAL
  []
  [perm_y]
    order = CONSTANT
    family = MONOMIAL
  []
  [perm_z]
    order = CONSTANT
    family = MONOMIAL
  []
[]

[AuxKernels]
  [poro]
    type = PorousFlowPropertyAux
    property = porosity
    variable = poro
  []
  [perm_x]
    type = PorousFlowPropertyAux
    property = permeability
    variable = perm_x
    row = 0
    column = 0
  []
  [perm_y]
    type = PorousFlowPropertyAux
    property = permeability
    variable = perm_y
    row = 1
    column = 1
  []
  [perm_z]
    type = PorousFlowPropertyAux
    property = permeability
    variable = perm_z
    row = 2
    column = 2
  []
[]

[Postprocessors]
  [poro]
    type = PointValue
    variable = poro
    point = '0 0 0'
  []
  [perm_x]
    type = PointValue
    variable = perm_x
    point = '0 0 0'
  []
  [perm_y]
    type = PointValue
    variable = perm_y
    point = '0 0 0'
  []
  [perm_z]
    type = PointValue
    variable = perm_z
    point = '0 0 0'
  []
[]

[UserObjects]
  [dictator]
    type = PorousFlowDictator
    porous_flow_vars = 'p'
    number_fluid_phases = 1
    number_fluid_components = 1
  []
  [pc]
    type = PorousFlowCapillaryPressureVG
    m = 0.5
    alpha = 1
  []
[]

[Materials]
  [temperature]
    type = PorousFlowTemperature
  []
  [elasticity_tensor]
    type = ComputeIsotropicElasticityTensor
    bulk_modulus = 1
    shear_modulus = 1
  []
  [strain]
    type = ComputeSmallStrain
  []
  [stress]
    type = ComputeLinearElasticStress
  []
  [vol_strain]
    type = PorousFlowVolumetricStrain
  []
  [ppss]
    type = PorousFlow1PhaseP
    porepressure = p
    capillary_pressure = pc
  []
  [p_eff]
    type = PorousFlowEffectiveFluidPressure
  []
  [porosity]
    type = PorousFlowPorosity
    fluid = true
    mechanical = true
    porosity_zero = 0.1
    solid_bulk = 1
    biot_coefficient = 1
  []
  [permeability]
    type = PorousFlowPermeabilityKozenyCarman
    k_anisotropy = '1 0 0  0 2 0  0 0 0.1'
    poroperm_function = kozeny_carman_fd2
    f = 0.1
    d = 5
    m = 2
    n = 7
  []
[]

[Preconditioning]
  [andy]
    type = SMP
    full = true
    petsc_options_iname = '-ksp_type -pc_type -snes_atol -snes_rtol -snes_max_it -ksp_atol -ksp_rtol'
    petsc_options_value = 'gmres bjacobi 1E-10 1E-10 10 1E-15 1E-10'
  []
[]

[Executioner]
  type = Transient
  solve_type = Newton
  start_time = 0
  dt = 0.1
  end_time = 1
[]

[Outputs]
  file_base = vol_expansion_poroperm
  csv = true
  execute_on = 'timestep_end'
[]

(modules/solid_mechanics/test/tests/weak_plane_shear/large_deform_harden3.i)

# apply a number of "random" configurations and
# check that the algorithm returns to the yield surface
#
# must be careful here - we cannot put in arbitrary values of C_ijkl, otherwise the condition
# df/dsigma * C * flow_dirn < 0 for some stresses
# The important features that must be obeyed are:
# 0 = C_0222 = C_1222  (holds for transversely isotropic, for instance)
# C_0212 < C_0202 = C_1212 (holds for transversely isotropic)
[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]

[Mesh]
  type = GeneratedMesh
  dim = 3
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]

[Physics/SolidMechanics/QuasiStatic/all]
  strain = FINITE
  add_variables = true
[]

[BCs]
  [bottomx]
    type = DirichletBC
    variable = disp_x
    boundary = back
    value = 0.0
  []
  [bottomy]
    type = DirichletBC
    variable = disp_y
    boundary = back
    value = 0.0
  []
  [bottomz]
    type = DirichletBC
    variable = disp_z
    boundary = back
    value = 0.0
  []

  # the following are "random" deformations
  # each is O(1E-5) to keep deformations small
  [topx]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = front
    function = '(sin(0.1*t)+x)/1E1'
  []
  [topy]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = front
    function = '(cos(t)+x*y)/1E1'
  []
  [topz]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = front
    function = 'sin(0.4321*t)*x*y*z/1E1'
  []
[]

[AuxVariables]
  [wps_internal]
    order = CONSTANT
    family = MONOMIAL
  []
  [yield_fcn]
    order = CONSTANT
    family = MONOMIAL
  []
[]

[AuxKernels]
  [wps_internal_auxk]
    type = MaterialStdVectorAux
    property = plastic_internal_parameter
    index = 0
    variable = wps_internal
  []
  [yield_fcn_auxk]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 0
    variable = yield_fcn
  []
[]

[Postprocessors]
  [int]
    type = PointValue
    point = '0 0 0'
    variable = wps_internal
    outputs = 'console'
  []
  [yield_fcn_at_zero]
    type = PointValue
    point = '0 0 0'
    variable = yield_fcn
    outputs = 'console'
  []
  [should_be_zero]
    type = FunctionValuePostprocessor
    function = should_be_zero_fcn
  []
[]

[Functions]
  [should_be_zero_fcn]
    type = ParsedFunction
    expression = 'if(a<1E-3,0,a)'
    symbol_names = 'a'
    symbol_values = 'yield_fcn_at_zero'
  []
[]

[UserObjects]
  [coh]
    type = SolidMechanicsHardeningExponential
    value_0 = 1E3
    value_residual = 0
    rate = 0.01
  []
  [tanphi]
    type = SolidMechanicsHardeningExponential
    value_0 = 1
    value_residual = 0.577350269
    rate = 0.01
  []
  [tanpsi]
    type = SolidMechanicsHardeningExponential
    value_0 = 0.08748866
    value_residual = 0.03492077
    rate = 0.01
  []
  [wps]
    type = SolidMechanicsPlasticWeakPlaneShear
    cohesion = coh
    tan_friction_angle = tanphi
    tan_dilation_angle = tanpsi
    smoother = 100
    yield_function_tolerance = 1E-3
    internal_constraint_tolerance = 1E-3
  []
[]

[Materials]
  [elasticity_tensor]
    type = ComputeElasticityTensor
    # the following is transversely isotropic, i think.
    fill_method = symmetric9
    C_ijkl = '3E9 1E9 3E9 3E9 3E9 6E9 1E9 1E9 9E9'
  []
  [mc]
    type = ComputeMultiPlasticityStress
    plastic_models = wps
    transverse_direction = '0 0 1'
    max_NR_iterations = 1000
    ep_plastic_tolerance = 1E-3
    debug_fspb = crash
  []
[]


[Executioner]
  end_time = 1E4
  dt = 1
  type = Transient
[]

[Outputs]
  csv = true
[]

(modules/solid_mechanics/test/tests/umat/analysis_steps/elastic_temperature_steps_uo.i)

# Testing the UMAT Interface - linear elastic model using the large strain formulation.

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]

[Mesh]
  [gen]
    type = GeneratedMeshGenerator
    dim = 3
    xmin = -0.5
    xmax = 0.5
    ymin = -0.5
    ymax = 0.5
    zmin = -0.5
    zmax = 0.5
  []
[]

[Functions]
  [top_pull_step2]
    type = ParsedFunction
    expression = (t-5.0)/20
  []
  # Forced evolution of temperature
  [temperature_load]
    type = ParsedFunction
    expression = '273'
  []
[]

[AuxVariables]
  [temperature]
  []
[]

[AuxKernels]
  [temperature_function]
    type = FunctionAux
    variable = temperature
    function = temperature_load
  []
[]

[Physics/SolidMechanics/QuasiStatic]
  [all]
    add_variables = true
    strain = FINITE
    generate_output = 'stress_yy'
  []
[]

[BCs]
  [y_step1]
    type = DirichletBC
    variable = disp_y
    boundary = top
    value = 0.0
  []
  [y_pull_function_step2]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = top
    function = top_pull_step2
  []
  [x_bot]
    type = DirichletBC
    variable = disp_x
    boundary = left
    value = 0.0
  []
  [y_bot]
    type = DirichletBC
    variable = disp_y
    boundary = bottom
    value = 0.0
  []
  [z_bot]
    type = DirichletBC
    variable = disp_z
    boundary = front
    value = 0.0
  []
[]

[Controls]
  [step1]
    type = AnalysisStepPeriod
    enable_objects = 'BCs::y_step1'
    disable_objects = 'BCs::y_pull_function_step2'
    analysis_step_user_object = step_uo
    step_number = 0
  []
  [step2]
    type = AnalysisStepPeriod
    enable_objects = 'BCs::y_pull_function_step2'
    disable_objects = 'BCs::y_step1'
    analysis_step_user_object = step_uo
    step_number = 1
  []
[]

[UserObjects]
  [step_uo]
   type = AnalysisStepUserObject
   step_start_times = '0 5'
  []
[]

[Materials]
  [umat]
    type = AbaqusUMATStress
    constant_properties = '1000 0.3'
    plugin = '../../../plugins/elastic_temperature'
    num_state_vars = 0
    temperature = temperature
    use_one_based_indexing = true
  []
[]

[Executioner]
  type = Transient
  solve_type = 'PJFNK'

  petsc_options = '-snes_ksp_ew'
  petsc_options_iname = '-ksp_gmres_restart'
  petsc_options_value = '101'

  line_search = 'none'

  l_max_its = 100
  nl_max_its = 100
  nl_rel_tol = 1e-12
  nl_abs_tol = 1e-10
  l_tol = 1e-9
  start_time = 0.0
  num_steps = 10
  dt = 1.0
[]

[Preconditioning]
  [smp]
    type = SMP
    full = true
  []
[]

[Outputs]
  exodus = true
[]

(test/tests/predictors/simple/predictor_test_skip_after_failed_tstep.i)

# The purpose of this test is to test the simple predictor.
# The test is adjusted to produce a failed time step.
# The predictor option 'skip_after_failed_timestep' should suppress a prediction
# after the failed time step.

[Mesh]
  type = GeneratedMesh
  dim = 2
  xmin = 0
  xmax = 1
  ymin = 0
  ymax = 1
  nx = 3
  ny = 3
[]

[Functions]
  [ramp1]
    type = PiecewiseLinear
    x = '0      0.5     1'
    y = '0      1       4'
  []
[]

[Variables]
  [u]
    order = FIRST
    family = LAGRANGE
  []
[]

[Kernels]
  [diff_u]
    type = Diffusion
    variable = u
  []
[]

[BCs]
  [bot]
    type = DirichletBC
    variable = u
    boundary = bottom
    value = 0.0
  []
  [ss2_x]
    type = FunctionDirichletBC
    variable = u
    boundary = top
    function = ramp1
  []
[]

[Problem]
  type = FailingProblem
  fail_steps = '6'
[]

[Executioner]
  type = Transient
  solve_type = 'NEWTON'

  nl_max_its = 15
  nl_rel_tol = 1e-14
  nl_abs_tol = 1e-14
  l_tol = 1e-14

  start_time = 0.0
  end_time = 1.0

  [TimeStepper]
    type = ConstantDT
    dt = 0.1
    cutback_factor_at_failure = 0.5
  []

  [Predictor]
    type = SimplePredictor
    scale = 1.0
    skip_after_failed_timestep = true
  []
[]

[Postprocessors]
  [final_residual]
    type = Residual
    residual_type = FINAL
  []
  [initial_residual]
    type = Residual
    residual_type = INITIAL
  []
[]

[Outputs]
  csv = true
[]

(modules/heat_transfer/test/tests/gap_heat_transfer_htonly/gap_heat_transfer_htonly_syntax.i)

#
# 1-D Gap Heat Transfer Test without mechanics
#
# This test exercises 1-D gap heat transfer for a constant conductivity gap.
#
# The mesh consists of two element blocks containing one element each.  Each
#   element is a unit cube.  They sit next to one another with a unit between them.
#
# The conductivity of both blocks is set very large to achieve a uniform temperature
#  across each block. The temperature of the far left boundary
#  is ramped from 100 to 200 over one time unit.  The temperature of the far right
#  boundary is held fixed at 100.
#
# A simple analytical solution is possible for the heat flux between the blocks:
#
#  Flux = (T_left - T_right) * (gapK/gap_width)
#
# The gap conductivity is specified as 1, thus
#
#  gapK(Tavg) = 1.0*Tavg
#
#
# The heat flux across the gap at time = 1 is then:
#
#  Flux(2) = 100 * (1.0/1.0) = 100
#
# For comparison, see results from the flux post processors
#
# This test has been augmented with a second scalar field that solves nearly
#   the same problem.  The conductivity has been changed to 10.  Thus, the
#   flux for the second field is 1000.
#


[Mesh]
  file = gap_heat_transfer_htonly_test.e
[]

[Functions]

  [./temp]
    type = PiecewiseLinear
    x = '0   1   2'
    y = '100 200 200'
  [../]
[]

[Modules/HeatTransfer/ThermalContact/BC]
  [./thermal_contact]
    type = GapHeatTransfer
    variable = temp
    primary = 3
    secondary = 2
    emissivity_primary = 0
    emissivity_secondary = 0
  [../]
  [./awesomium_contact]
    type = GapHeatTransfer
    variable = awesomium
    primary = 3
    secondary = 2
    emissivity_primary = 0
    emissivity_secondary = 0
    gap_conductivity = 10
    appended_property_name = _awesomium
  [../]
[]

[Variables]
  [./temp]
    order = FIRST
    family = LAGRANGE
    initial_condition = 100
  [../]
  [./awesomium]
    order = FIRST
    family = LAGRANGE
    initial_condition = 100
  [../]
[]

[AuxVariables]
  [./gap_cond]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./gap_cond_awesomium]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]

[Kernels]
  [./heat]
    type = HeatConduction
    variable = temp
  [../]
  [./awe]
    type = HeatConduction
    variable = awesomium
  [../]
[]


[BCs]
  [./temp_far_left]
    type = FunctionDirichletBC
    boundary = 1
    variable = temp
    function = temp
  [../]
  [./temp_far_right]
    type = DirichletBC
    boundary = 4
    variable = temp
    value = 100
  [../]
  [./awesomium_far_left]
    type = FunctionDirichletBC
    boundary = 1
    variable = awesomium
    function = temp
  [../]
  [./awesomium_far_right]
    type = DirichletBC
    boundary = 4
    variable = awesomium
    value = 100
  [../]
[]

[AuxKernels]
  [./conductance]
    type = MaterialRealAux
    property = gap_conductance
    variable = gap_cond
    boundary = 2
  [../]
  [./conductance_awe]
    type = MaterialRealAux
    property = gap_conductance_awesomium
    variable = gap_cond_awesomium
    boundary = 2
  [../]
[]

[Materials]

  [./heat1]
    type = HeatConductionMaterial
    block = '1 2'
    specific_heat = 1.0
    thermal_conductivity = 100000000.0
  [../]
  [./density]
    type = GenericConstantMaterial
    block = '1 2'
    prop_names = 'density'
    prop_values = '1.0'
  [../]
[]

[Executioner]
  type = Transient

  solve_type = 'PJFNK'
  petsc_options_iname = '-ksp_gmres_restart -pc_type -pc_hypre_type -pc_hypre_boomeramg_max_iter'
  petsc_options_value = '201                hypre    boomeramg      4'

  line_search = 'none'
  nl_rel_tol = 1e-12
  l_tol = 1e-3
  l_max_its = 100

  dt = 1e-1
  end_time = 1.0
[]

[Postprocessors]

  [./temp_left]
    type = SideAverageValue
    boundary = 2
    variable = temp
    execute_on = 'initial timestep_end'
  [../]

  [./temp_right]
    type = SideAverageValue
    boundary = 3
    variable = temp
    execute_on = 'initial timestep_end'
  [../]

  [./flux_left]
    type = SideDiffusiveFluxIntegral
    variable = temp
    boundary = 2
    diffusivity = thermal_conductivity
    execute_on = 'initial timestep_end'
  [../]

  [./flux_right]
    type = SideDiffusiveFluxIntegral
    variable = temp
    boundary = 3
    diffusivity = thermal_conductivity
    execute_on = 'initial timestep_end'
  [../]

  [./awe_left]
    type = SideAverageValue
    boundary = 2
    variable = awesomium
    execute_on = 'initial timestep_end'
  [../]

  [./awe_right]
    type = SideAverageValue
    boundary = 3
    variable = awesomium
    execute_on = 'initial timestep_end'
  [../]

  [./awe_flux_left]
    type = SideDiffusiveFluxIntegral
    variable = awesomium
    boundary = 2
    diffusivity = thermal_conductivity
    execute_on = 'initial timestep_end'
  [../]

  [./awe_flux_right]
    type = SideDiffusiveFluxIntegral
    variable = awesomium
    boundary = 3
    diffusivity = thermal_conductivity
    execute_on = 'initial timestep_end'
  [../]
[]

[Outputs]
  exodus = true
[]

(modules/solid_mechanics/test/tests/line_material_rank_two_sampler/rank_two_sampler.i)

[GlobalParams]
  displacements = 'x_disp y_disp z_disp'
[]

[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 3
  ny = 3
  nz = 3
  elem_type = HEX
[]

[Functions]
  [./rampConstant]
    type = PiecewiseLinear
    x = '0. 1.'
    y = '0. 1.'
    scale_factor = 1e-6
  [../]
[]

[Variables]
  [./x_disp]
    order = FIRST
    family = LAGRANGE
  [../]
  [./y_disp]
    order = FIRST
    family = LAGRANGE
  [../]
  [./z_disp]
    order = FIRST
    family = LAGRANGE
  [../]
[]

[AuxVariables]
 [./stress_xx]
    order = CONSTANT
    family = MONOMIAL
 [../]
[]

[AuxKernels]
  [./stress_xx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xx
    index_i = 0
    index_j = 0
  [../]
[]

[VectorPostprocessors]
  [./stress_xx]
    type = LineMaterialRankTwoSampler
    start = '0.1667 0.4 0.45'
    end   = '0.8333 0.6 0.55'
    property = stress
    index_i = 0
    index_j = 0
    sort_by = id
  [../]
[]

[Kernels]
  [SolidMechanics]
    use_displaced_mesh = true
  [../]
[]

[BCs]
  [./front]
    type = FunctionDirichletBC
    variable = z_disp
    boundary = 5
    function = rampConstant
  [../]
  [./back_x]
    type = DirichletBC
    variable = x_disp
    boundary = 0
    value = 0.0
  [../]
  [./back_y]
    type = DirichletBC
    variable = y_disp
    boundary = 0
    value = 0.0
  [../]
  [./back_z]
    type = DirichletBC
    variable = z_disp
    boundary = 0
    value = 0.0
  [../]
[]

[Materials]
  [./elast_tensor]
    type = ComputeIsotropicElasticityTensor
    youngs_modulus = 1e6
    poissons_ratio = .3
  [../]
  [./strain]
    type = ComputeSmallStrain
  [../]
  [./stress]
    type = ComputeLinearElasticStress
  [../]
[]

[Executioner]
  type = Transient

  solve_type = PJFNK

  l_max_its = 100

  start_time = 0.0
  num_steps = 99999
  end_time = 1.0
  dt = 0.1
[]

[Outputs]
  file_base = rank_two_sampler_out
  csv = true
[]

(modules/contact/test/tests/mortar_dynamics/frictional-mortar-3d.i)

starting_point = 0.25
offset = 0.00

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
  volumetric_locking_correction = true
[]

[AuxVariables]
  [mortar_tangent_x]
    family = LAGRANGE
    order = FIRST
  []
  [mortar_tangent_y]
    family = LAGRANGE
    order = FIRST
  []
  [mortar_tangent_z]
    family = LAGRANGE
    order = FIRST
  []
[]

[AuxKernels]
  [friction_x_component]
   type = MortarFrictionalPressureVectorAux
   primary_boundary = 'bottom_top'
   secondary_boundary = 'top_bottom'
   tangent_one = mortar_tangential_lm
   tangent_two = mortar_tangential_3d_lm
   variable = mortar_tangent_x
   component = 0
   boundary = 'top_bottom'
  []
  [friction_y_component]
   type = MortarFrictionalPressureVectorAux
   primary_boundary = 'bottom_top'
   secondary_boundary = 'top_bottom'
   tangent_one = mortar_tangential_lm
   tangent_two = mortar_tangential_3d_lm
   variable = mortar_tangent_y
   component = 1
   boundary = 'top_bottom'
  []
  [friction_z_component]
   type = MortarFrictionalPressureVectorAux
   primary_boundary = 'bottom_top'
   secondary_boundary = 'top_bottom'
   tangent_one = mortar_tangential_lm
   tangent_two = mortar_tangential_3d_lm
   variable = mortar_tangent_z
   component = 2
   boundary = 'top_bottom'
  []
[]

[Mesh]
  [top_block]
    type = GeneratedMeshGenerator
    dim = 3
    nx = 3
    ny = 3
    nz = 3
    xmin = -0.25
    xmax = 0.25
    ymin = -0.25
    ymax = 0.25
    zmin = -0.25
    zmax = 0.25
    elem_type = HEX8
  []
  [rotate_top_block]
    type = TransformGenerator
    input = top_block
    transform = ROTATE
    vector_value = '0 0 0'
  []
  [top_block_sidesets]
    type = RenameBoundaryGenerator
    input = rotate_top_block
    old_boundary = '0 1 2 3 4 5'
    new_boundary = 'top_bottom top_back top_right top_front top_left top_top'
  []
  [top_block_id]
    type = SubdomainIDGenerator
    input = top_block_sidesets
    subdomain_id = 1
  []
  [bottom_block]
    type = GeneratedMeshGenerator
    dim = 3
    nx = 10
    ny = 10
    nz = 2
    xmin = -.5
    xmax = .5
    ymin = -.5
    ymax = .5
    zmin = -.3
    zmax = -.25
    elem_type = HEX8
  []
  [bottom_block_id]
    type = SubdomainIDGenerator
    input = bottom_block
    subdomain_id = 2
  []
  [bottom_block_change_boundary_id]
    type = RenameBoundaryGenerator
    input = bottom_block_id
    old_boundary = '0 1 2 3 4 5'
    new_boundary = '100 101 102 103 104 105'
  []
  [combined]
    type = MeshCollectionGenerator
    inputs = 'top_block_id bottom_block_change_boundary_id'
  []
  [block_rename]
    type = RenameBlockGenerator
    input = combined
    old_block = '1 2'
    new_block = 'top_block bottom_block'
  []
  [bottom_right_sideset]
    type = SideSetsAroundSubdomainGenerator
    input = block_rename
    new_boundary = bottom_right
    block = bottom_block
    normal = '1 0 0'
  []
  [bottom_left_sideset]
    type = SideSetsAroundSubdomainGenerator
    input = bottom_right_sideset
    new_boundary = bottom_left
    block = bottom_block
    normal = '-1 0 0'
  []
  [bottom_top_sideset]
    type = SideSetsAroundSubdomainGenerator
    input = bottom_left_sideset
    new_boundary = bottom_top
    block = bottom_block
    normal = '0 0 1'
  []
  [bottom_bottom_sideset]
    type = SideSetsAroundSubdomainGenerator
    input = bottom_top_sideset
    new_boundary = bottom_bottom
    block = bottom_block
    normal = '0  0 -1'
  []
  [bottom_front_sideset]
    type = SideSetsAroundSubdomainGenerator
    input = bottom_bottom_sideset
    new_boundary = bottom_front
    block = bottom_block
    normal = '0 1 0'
  []
  [bottom_back_sideset]
    type = SideSetsAroundSubdomainGenerator
    input = bottom_front_sideset
    new_boundary = bottom_back
    block = bottom_block
    normal = '0 -1 0'
  []
  [secondary]
    input = bottom_back_sideset
    type = LowerDBlockFromSidesetGenerator
    sidesets = 'top_bottom' # top_back top_left'
    new_block_id = '10001'
    new_block_name = 'secondary_lower'
  []
  [primary]
    input = secondary
    type = LowerDBlockFromSidesetGenerator
    sidesets = 'bottom_top'
    new_block_id = '10000'
    new_block_name = 'primary_lower'
  []
  uniform_refine = 0
  allow_renumbering = false
[]

[Variables]
  [mortar_normal_lm]
    block = 'secondary_lower'
    use_dual = true
  []
  [mortar_tangential_lm]
    block = 'secondary_lower'
    use_dual = true
  []
  [mortar_tangential_3d_lm]
    block = 'secondary_lower'
    use_dual = true
  []
[]

[Physics/SolidMechanics/QuasiStatic]
  [all]
    add_variables = true
    strain = FINITE
    block = '1 2'
    use_automatic_differentiation = false
    generate_output = 'stress_xx stress_xy stress_xz stress_yy stress_zz'
  []
[]

[Materials]
  [tensor]
    type = ComputeIsotropicElasticityTensor
    block = '1'
    youngs_modulus = 1.0e4
    poissons_ratio = 0.0
  []
  [stress]
    type = ComputeFiniteStrainElasticStress
    block = '1'
  []

  [tensor_1000]
    type = ComputeIsotropicElasticityTensor
    block = '2'
    youngs_modulus = 1e5
    poissons_ratio = 0.0
  []
  [stress_1000]
    type = ComputeFiniteStrainElasticStress
    block = '2'
  []
[]

[UserObjects]
  [weighted_vel_uo]
    type = LMWeightedVelocitiesUserObject
    primary_boundary = 20
    secondary_boundary = 10
    primary_subdomain = 4
    secondary_subdomain = 3
    lm_variable_normal = mortar_normal_lm
    lm_variable_tangential_one = mortar_tangential_lm
    lm_variable_tangential_two = mortar_tangential_3d_lm
    secondary_variable = disp_x
    disp_x = disp_x
    disp_y = disp_y
  []
[]

[Constraints]
  [friction]
    type = ComputeFrictionalForceLMMechanicalContact
    primary_boundary = 'bottom_top'
    secondary_boundary = 'top_bottom'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    variable = mortar_normal_lm
    disp_x = disp_x
    disp_y = disp_y
    disp_z = disp_z
    use_displaced_mesh = true
    mu = 0.4
    c = 1e4
    c_t = 1.0e4
    friction_lm = mortar_tangential_lm
    friction_lm_dir = mortar_tangential_3d_lm
    weighted_gap_uo = weighted_vel_uo
    weighted_velocities_uo = weighted_vel_uo
  []
  [normal_x]
    type = NormalMortarMechanicalContact
    primary_boundary = 'bottom_top'
    secondary_boundary = 'top_bottom'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    variable = mortar_normal_lm
    secondary_variable = disp_x
    component = x
    use_displaced_mesh = true
    compute_lm_residuals = false
    weighted_gap_uo = weighted_vel_uo
  []
  [normal_y]
    type = NormalMortarMechanicalContact
    primary_boundary = 'bottom_top'
    secondary_boundary = 'top_bottom'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    variable = mortar_normal_lm
    secondary_variable = disp_y
    component = y
    use_displaced_mesh = true
    compute_lm_residuals = false
    weighted_gap_uo = weighted_vel_uo
  []
  [normal_z]
    type = NormalMortarMechanicalContact
    primary_boundary = 'bottom_top'
    secondary_boundary = 'top_bottom'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    variable = mortar_normal_lm
    secondary_variable = disp_z
    component = z
    use_displaced_mesh = true
    compute_lm_residuals = false
    weighted_gap_uo = weighted_vel_uo
  []
  [tangential_x]
    type = TangentialMortarMechanicalContact
    primary_boundary = 'bottom_top'
    secondary_boundary = 'top_bottom'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    variable = mortar_tangential_lm
    secondary_variable = disp_x
    component = x
    use_displaced_mesh = true
    compute_lm_residuals = false
    weighted_velocities_uo = weighted_vel_uo
  []
  [tangential_y]
    type = TangentialMortarMechanicalContact
    primary_boundary = 'bottom_top'
    secondary_boundary = 'top_bottom'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    variable = mortar_tangential_lm
    secondary_variable = disp_y
    component = y
    use_displaced_mesh = true
    compute_lm_residuals = false
    weighted_velocities_uo = weighted_vel_uo
  []
  [tangential_z]
    type = TangentialMortarMechanicalContact
    primary_boundary = 'bottom_top'
    secondary_boundary = 'top_bottom'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    variable = mortar_tangential_lm
    secondary_variable = disp_z
    component = z
    use_displaced_mesh = true
    compute_lm_residuals = false
    weighted_velocities_uo = weighted_vel_uo
  []
  [tangential_dir_x]
    type = TangentialMortarMechanicalContact
    primary_boundary = 'bottom_top'
    secondary_boundary = 'top_bottom'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    variable = mortar_tangential_3d_lm
    secondary_variable = disp_x
    component = x
    direction = direction_2
    use_displaced_mesh = true
    compute_lm_residuals = false
    weighted_velocities_uo = weighted_vel_uo
  []
  [tangential_dir_y]
    type = TangentialMortarMechanicalContact
    primary_boundary = 'bottom_top'
    secondary_boundary = 'top_bottom'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    variable = mortar_tangential_3d_lm
    secondary_variable = disp_y
    component = y
    direction = direction_2
    use_displaced_mesh = true
    compute_lm_residuals = false
    weighted_velocities_uo = weighted_vel_uo
  []
  [tangential_dir_z]
    type = TangentialMortarMechanicalContact
    primary_boundary = 'bottom_top'
    secondary_boundary = 'top_bottom'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    variable = mortar_tangential_3d_lm
    secondary_variable = disp_z
    component = z
    direction = direction_2
    use_displaced_mesh = true
    compute_lm_residuals = false
    weighted_velocities_uo = weighted_vel_uo
  []
[]

[BCs]
  [botx]
    type = DirichletBC
    variable = disp_x
    boundary = 'bottom_left bottom_right bottom_front bottom_back'
    value = 0.0
  []
  [boty]
    type = DirichletBC
    variable = disp_y
    boundary = 'bottom_left bottom_right bottom_front bottom_back'
    value = 0.0
  []
  [botz]
    type = DirichletBC
    variable = disp_z
    boundary = 'bottom_left bottom_right bottom_front bottom_back'
    value = 0.0
  []
  [topx]
    type = DirichletBC
    variable = disp_x
    boundary = 'top_top'
    value = 0.0
  []
  [topy]
    type = DirichletBC
    variable = disp_y
    boundary = 'top_top'
    value = 0.0
  []
  [topz]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'top_top'
    function = '-${starting_point} * sin(2 * pi / 40 * t) + ${offset}'
  []
[]

[Executioner]
  type = Transient
  end_time = .025
  dt = .025
  dtmin = .001
  solve_type = 'PJFNK'
  petsc_options = '-snes_converged_reason -ksp_converged_reason -snes_ksp_ew'
  petsc_options_iname = '-pc_type -pc_factor_shift_type -pc_factor_shift_amount -mat_mffd_err'
  petsc_options_value = 'lu       NONZERO               1e-14                  1e-5'
  l_max_its = 15
  nl_max_its = 30
  nl_rel_tol = 1e-11
  nl_abs_tol = 1e-12
  line_search = 'basic'
[]

[Debug]
  show_var_residual_norms = true
[]

[Outputs]
  exodus = true
  csv = true
[]

[Preconditioning]
  [smp]
    type = SMP
    full = true
  []
[]

[Postprocessors]
  active = 'contact'
  [contact]
    type = ContactDOFSetSize
    variable = mortar_normal_lm
    subdomain = 'secondary_lower'
    execute_on = 'nonlinear timestep_end'
  []
[]

[VectorPostprocessors]
  [contact-pressure]
    type = NodalValueSampler
    block = secondary_lower
    variable = mortar_normal_lm
    sort_by = 'id'
    execute_on = TIMESTEP_END
  []
  [frictional-pressure]
    type = NodalValueSampler
    block = secondary_lower
    variable = mortar_tangential_lm
    sort_by = 'id'
    execute_on = TIMESTEP_END
  []
  [frictional-pressure-3d]
    type = NodalValueSampler
    block = secondary_lower
    variable = mortar_tangential_3d_lm
    sort_by = 'id'
    execute_on = TIMESTEP_END
  []
  [tangent_x]
    type = NodalValueSampler
    block = secondary_lower
    variable = mortar_tangent_x
    sort_by = 'id'
    execute_on = TIMESTEP_END
  []
  [tangent_y]
    type = NodalValueSampler
    block = secondary_lower
    variable = mortar_tangent_y
    sort_by = 'id'
    execute_on = TIMESTEP_END
  []
[]

(modules/solid_mechanics/test/tests/tensile/small_deform5_update_version.i)

# checking for small deformation
# A single element is incrementally stretched in the in the z and x directions
# This causes the return direction to be along the hypersurface sigma_I = sigma_II,
# and the resulting stresses are checked to lie on the expected yield surface

[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]

[Physics/SolidMechanics/QuasiStatic]
  [./all]
    add_variables = true
    incremental = true
    strain = finite
    generate_output = 'max_principal_stress mid_principal_stress min_principal_stress stress_xx stress_xy stress_xz stress_yy stress_yz stress_zz'
  [../]
[]

[BCs]
  [./x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'front back'
    function = '4*x*t'
  [../]
  [./y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'front back'
    function = '0'
  [../]
  [./z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'front back'
    function = 'z*(t-0.5)'
  [../]
[]

[AuxVariables]
  [./yield_fcn]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]

[AuxKernels]
  [./yield_fcn_auxk]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 0
    variable = yield_fcn
  [../]
[]

[Postprocessors]
  [./s_I]
    type = PointValue
    point = '0 0 0'
    variable = max_principal_stress
  [../]
  [./s_II]
    type = PointValue
    point = '0 0 0'
    variable = mid_principal_stress
  [../]
  [./s_III]
    type = PointValue
    point = '0 0 0'
    variable = min_principal_stress
  [../]
  [./f]
    type = PointValue
    point = '0 0 0'
    variable = yield_fcn
  [../]
[]

[UserObjects]
  [./ts]
    type = SolidMechanicsHardeningConstant
    value = 1
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    fill_method = symmetric_isotropic
    C_ijkl = '0 2.0'
  [../]
  [./tensile]
    type = TensileStressUpdate
    tensile_strength = ts
    smoothing_tol = 0.5
    yield_function_tol = 1.0E-12
  [../]
  [./stress]
    type = ComputeMultipleInelasticStress
    inelastic_models = tensile
    perform_finite_strain_rotations = false
  [../]
[]


[Executioner]
  end_time = 1
  dt = 0.1
  type = Transient
[]


[Outputs]
  file_base = small_deform5_update_version
  exodus = false
  [./csv]
    type = CSV
  [../]
[]

(modules/solid_mechanics/test/tests/rate_independent_cyclic_hardening/linear_kinharden_nonsymmetric_strain_controlled.i)

# This simulation uses the piece-wise strain hardening model
# with the Finite strain formulation.
#
# This test applies a repeated displacement loading and unloading condition on
# the top in the y direction. The material deforms elastically until the
# loading reaches the initial yield point and then plastic deformation starts.
#
# The yield surface begins to translate as stress increases, but its size
# remains the same. The backstress evolves with plastic strain to capture
# this translation. Upon unloading, the stress reverses direction, and material
# first behaves elastically. However, due to the translation of the yield surface
# the yield point in the reverse direction is lower.
#
# If the reverse load is strong enough, the material will yield in the reverse
# direction, which models the Bauschinger effect(reduction in yield stress in
# the opposite direction).
#
# This test is based on the similar response obtained for a prescribed non symmetrical
# stress path in Besson, Jacques, et al. Non-linear mechanics of materials. Vol. 167.
# Springer Science & Business Media, 2009  pg. 89 fig. 3.6(a). This SolidMechanics code
# matches the SolidMechanics solution.

[Mesh]
  file = 1x1x1cube.e
[]

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]

[Functions]
  [top_pull]
    type = PiecewiseLinear
    xy_data = '0 0
    0.025 0.0025
    0.05 0.005
    0.1 0.01
    0.15 0.005
    0.2 0
    0.25 0.005
    0.3 0.01
    0.35 0.005
    0.4 0
    0.45 0.005
    0.5 0.01
    0.55 0.005
    0.6 0
    0.65 0.005
    0.7 0.01
    0.75 0.005
    0.8 0
    0.85 0.005
    0.9 0.01
    0.95 0.005
    1 0
    1.05 0.005
    1.1 0.01
    1.15 0.005
    1.2 0
    1.25 0.005
    1.3 0.01
    1.35 0.005
    1.4 0'
  []
[]

[Physics]
  [SolidMechanics]
    [QuasiStatic]
      [all]
        strain = SMALL
        incremental = true
        add_variables = true
        generate_output = 'strain_yy stress_yy plastic_strain_xx plastic_strain_yy plastic_strain_zz'
      []
    []
  []
[]

[BCs]
  [y_pull_function]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 5
    function = top_pull
  []
  [x_bot]
    type = DirichletBC
    variable = disp_x
    boundary = 4
    value = 0.0
  []
  [y_bot]
    type = DirichletBC
    variable = disp_y
    boundary = 3
    value = 0.0
  []
  [z_bot]
    type = DirichletBC
    variable = disp_z
    boundary = 2
    value = 0.0
  []
[]

[Materials]
  [elasticity_tensor]
    type = ComputeIsotropicElasticityTensor
    youngs_modulus = 2e5
    poissons_ratio = 0.0
  []
  [kinematic_plasticity]
    type = CombinedNonlinearHardeningPlasticity
    yield_stress = 100
    isotropic_hardening_constant = 0
    q = 0
    b = 0
    kinematic_hardening_modulus = 15000
    gamma = 0
  []
  [radial_return_stress]
    type = ComputeMultipleInelasticStress
    tangent_operator = elastic
    inelastic_models = 'kinematic_plasticity'
  []
[]

[Executioner]
  type = Transient

  solve_type = 'PJFNK'

  petsc_options = '-snes_ksp_ew'
  petsc_options_iname = '-ksp_gmres_restart'
  petsc_options_value = '101'

  line_search = 'none'

  l_max_its = 50
  nl_max_its = 50
  nl_rel_tol = 1e-12
  nl_abs_tol = 1e-10
  l_tol = 1e-9

  start_time = 0.0
  end_time = 1.4
  dt = 0.00125
  dtmin = 0.0001
[]

[Postprocessors]
  [stress_yy]
    type = ElementAverageValue
    variable = stress_yy
  []
  [strain_yy]
    type = ElementAverageValue
    variable = strain_yy
  []
[]

[Outputs]
  csv = true
[]

(modules/solid_mechanics/test/tests/capped_mohr_coulomb/random1.i)

# Using CappedMohrCoulomb with tensile failure only
# Plasticity models:
# Tensile strength = 1MPa
#
# Lame lambda = 1GPa.  Lame mu = 1.3GPa
#
# A line of elements is perturbed randomly, and return to the yield surface at each quadpoint is checked

[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1000
  ny = 1234
  nz = 1
  xmin = 0
  xmax = 1000
  ymin = 0
  ymax = 1234
  zmin = 0
  zmax = 1
[]

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]

[Physics/SolidMechanics/QuasiStatic]
  [./all]
    add_variables = true
    incremental = true
    generate_output = 'stress_xx stress_xy stress_xz stress_yy stress_yz stress_zz'
  [../]
[]

[ICs]
  [./x]
    type = RandomIC
    min = -0.1
    max = 0.1
    variable = disp_x
  [../]
  [./y]
    type = RandomIC
    min = -0.1
    max = 0.1
    variable = disp_y
  [../]
  [./z]
    type = RandomIC
    min = -0.1
    max = 0.1
    variable = disp_z
  [../]
[]

[BCs]
  [./x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'front back'
    function = '0'
  [../]
  [./y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'front back'
    function = '0'
  [../]
  [./z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'front back'
    function = '0'
  [../]
[]

[AuxVariables]
  [./f0]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f1]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f2]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./int0]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./iter]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]

[AuxKernels]
  [./f0]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 0
    variable = f0
  [../]
  [./f1]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 1
    variable = f1
  [../]
  [./f2]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 2
    variable = f2
  [../]
  [./int0]
    type = MaterialStdVectorAux
    property = plastic_internal_parameter
    factor = 1E6
    index = 0
    variable = int0
  [../]
  [./iter]
    type = MaterialRealAux
    property = plastic_NR_iterations
    variable = iter
  [../]
[]

[Postprocessors]
  [./tot_iters]
    type = ElementIntegralMaterialProperty
    mat_prop = plastic_NR_iterations
    outputs = console
  [../]
  [./raw_f0]
    type = ElementExtremeValue
    variable = f0
    outputs = console
  [../]
  [./raw_f1]
    type = ElementExtremeValue
    variable = f1
    outputs = console
  [../]
  [./raw_f2]
    type = ElementExtremeValue
    variable = f2
    outputs = console
  [../]
  [./iter]
    type = ElementExtremeValue
    variable = iter
    outputs = console
  [../]
  [./f0]
    type = FunctionValuePostprocessor
    function = should_be_zero0_fcn
  [../]
  [./f1]
    type = FunctionValuePostprocessor
    function = should_be_zero1_fcn
  [../]
  [./f2]
    type = FunctionValuePostprocessor
    function = should_be_zero2_fcn
  [../]
[]

[Functions]
  [./should_be_zero0_fcn]
    type = ParsedFunction
    expression = 'if(a<1E-1,0,a)'
    symbol_names = 'a'
    symbol_values = 'raw_f0'
  [../]
  [./should_be_zero1_fcn]
    type = ParsedFunction
    expression = 'if(a<1E-1,0,a)'
    symbol_names = 'a'
    symbol_values = 'raw_f1'
  [../]
  [./should_be_zero2_fcn]
    type = ParsedFunction
    expression = 'if(a<1E-1,0,a)'
    symbol_names = 'a'
    symbol_values = 'raw_f2'
  [../]
[]

[UserObjects]
  [./ts]
    type = SolidMechanicsHardeningCubic
    value_0 = 1E6
    value_residual = 0
    internal_limit = 1
  [../]
  [./cs]
    type = SolidMechanicsHardeningConstant
    value = 1E12
  [../]
  [./coh]
    type = SolidMechanicsHardeningConstant
    value = 1E12
  [../]
  [./ang]
    type = SolidMechanicsHardeningConstant
    value = 0.5
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    fill_method = symmetric_isotropic
    C_ijkl = '1E9 1.3E9'
  [../]
  [./tensile]
    type = CappedMohrCoulombStressUpdate
    tensile_strength = ts
    compressive_strength = cs
    cohesion = coh
    friction_angle = ang
    dilation_angle = ang
    smoothing_tol = 1E5
    max_NR_iterations = 100
    yield_function_tol = 1.0E-1
  [../]
  [./stress]
    type = ComputeMultipleInelasticStress
    inelastic_models = tensile
    perform_finite_strain_rotations = false
  [../]
[]


[Executioner]
  end_time = 1
  dt = 1
  type = Transient
[]


[Outputs]
  file_base = random1
  csv = true
[]

(modules/porous_flow/examples/coal_mining/coarse_with_fluid.i)

# Strata deformation and fluid flow aaround a coal mine - 3D model
#
# A "half model" is used.  The mine is 400m deep and
# just the roof is studied (-400<=z<=0).  The mining panel
# sits between 0<=x<=150, and 0<=y<=1000, so this simulates
# a coal panel that is 300m wide and 1000m long.  The outer boundaries
# are 1km from the excavation boundaries.
#
# The excavation takes 0.5 years.
#
# The boundary conditions for this simulation are:
#  - disp_x = 0 at x=0 and x=1150
#  - disp_y = 0 at y=-1000 and y=1000
#  - disp_z = 0 at z=-400, but there is a time-dependent
#               Young modulus that simulates excavation
#  - wc_x = 0 at y=-1000 and y=1000
#  - wc_y = 0 at x=0 and x=1150
#  - no flow at x=0, z=-400 and z=0
#  - fixed porepressure at y=-1000, y=1000 and x=1150
# That is, rollers on the sides, free at top,
# and prescribed at bottom in the unexcavated portion.
#
# A single-phase unsaturated fluid is used.
#
# The small strain formulation is used.
#
# All stresses are measured in MPa, and time units are measured in years.
#
# The initial porepressure is hydrostatic with P=0 at z=0, so
# Porepressure ~ - 0.01*z MPa, where the fluid has density 1E3 kg/m^3 and
# gravity = = 10 m.s^-2 = 1E-5 MPa m^2/kg.
# To be more accurate, i use
# Porepressure = -bulk * log(1 + g*rho0*z/bulk)
# where bulk=2E3 MPa and rho0=1Ee kg/m^3.
# The initial stress is consistent with the weight force from undrained
# density 2500 kg/m^3, and fluid porepressure, and a Biot coefficient of 0.7, ie,
# stress_zz^effective = 0.025*z + 0.7 * initial_porepressure
# The maximum and minimum principal horizontal effective stresses are
# assumed to be equal to 0.8*stress_zz.
#
# Material properties:
# Young's modulus = 8 GPa
# Poisson's ratio = 0.25
# Cosserat layer thickness = 1 m
# Cosserat-joint normal stiffness = large
# Cosserat-joint shear stiffness = 1 GPa
# MC cohesion = 2 MPa
# MC friction angle = 35 deg
# MC dilation angle = 8 deg
# MC tensile strength = 1 MPa
# MC compressive strength = 100 MPa
# WeakPlane cohesion = 0.1 MPa
# WeakPlane friction angle = 30 deg
# WeakPlane dilation angle = 10 deg
# WeakPlane tensile strength = 0.1 MPa
# WeakPlane compressive strength = 100 MPa softening to 1 MPa at strain = 1
# Fluid density at zero porepressure = 1E3 kg/m^3
# Fluid bulk modulus = 2E3 MPa
# Fluid viscosity = 1.1E-3 Pa.s = 1.1E-9 MPa.s = 3.5E-17 MPa.year
#
[GlobalParams]
  perform_finite_strain_rotations = false
  displacements = 'disp_x disp_y disp_z'
  Cosserat_rotations = 'wc_x wc_y wc_z'
  PorousFlowDictator = dictator
  biot_coefficient = 0.7
[]

[Mesh]
  [file]
    type = FileMeshGenerator
    file = mesh/coarse.e
  []
  [xmin]
    type = SideSetsAroundSubdomainGenerator
     block = '2 3 4 5 6 7 8 9 10 11 12 13 14 15 16'
    new_boundary = xmin
    normal = '-1 0 0'
    input = file
  []
  [xmax]
    type = SideSetsAroundSubdomainGenerator
     block = '2 3 4 5 6 7 8 9 10 11 12 13 14 15 16'
    new_boundary = xmax
    normal = '1 0 0'
    input = xmin
  []
  [ymin]
    type = SideSetsAroundSubdomainGenerator
     block = '2 3 4 5 6 7 8 9 10 11 12 13 14 15 16'
    new_boundary = ymin
    normal = '0 -1 0'
    input = xmax
  []
  [ymax]
    type = SideSetsAroundSubdomainGenerator
     block = '2 3 4 5 6 7 8 9 10 11 12 13 14 15 16'
    new_boundary = ymax
    normal = '0 1 0'
    input = ymin
  []
  [zmax]
    type = SideSetsAroundSubdomainGenerator
    block = 16
    new_boundary = zmax
    normal = '0 0 1'
    input = ymax
  []
  [zmin]
    type = SideSetsAroundSubdomainGenerator
    block = 2
    new_boundary = zmin
    normal = '0 0 -1'
    input = zmax
  []
  [excav]
    type = SubdomainBoundingBoxGenerator
    input = zmin
    block_id = 1
    bottom_left = '0 0 -400'
    top_right = '150 1000 -397'
  []
  [roof]
    type = SideSetsBetweenSubdomainsGenerator
    primary_block = 3
    paired_block = 1
    input = excav
    new_boundary = roof
  []
[]

[Variables]
  [disp_x]
  []
  [disp_y]
  []
  [disp_z]
  []
  [wc_x]
  []
  [wc_y]
  []
  [porepressure]
    scaling = 1E-5
  []
[]

[ICs]
  [porepressure]
    type = FunctionIC
    variable = porepressure
    function = ini_pp
  []
[]

[Kernels]
  [cx_elastic]
    type = CosseratStressDivergenceTensors
    use_displaced_mesh = false
    variable = disp_x
    component = 0
  []
  [cy_elastic]
    type = CosseratStressDivergenceTensors
    use_displaced_mesh = false
    variable = disp_y
    component = 1
  []
  [cz_elastic]
    type = CosseratStressDivergenceTensors
    use_displaced_mesh = false
    variable = disp_z
    component = 2
  []
  [x_couple]
    type = StressDivergenceTensors
    use_displaced_mesh = false
    variable = wc_x
    displacements = 'wc_x wc_y wc_z'
    component = 0
    base_name = couple
  []
  [y_couple]
    type = StressDivergenceTensors
    use_displaced_mesh = false
    variable = wc_y
    displacements = 'wc_x wc_y wc_z'
    component = 1
    base_name = couple
  []
  [x_moment]
    type = MomentBalancing
    use_displaced_mesh = false
    variable = wc_x
    component = 0
  []
  [y_moment]
    type = MomentBalancing
    use_displaced_mesh = false
    variable = wc_y
    component = 1
  []
  [gravity]
    type = Gravity
    use_displaced_mesh = false
    variable = disp_z
    value = -10E-6 # remember this is in MPa
  []
  [poro_x]
    type = PorousFlowEffectiveStressCoupling
    use_displaced_mesh = false
    variable = disp_x
    component = 0
  []
  [poro_y]
    type = PorousFlowEffectiveStressCoupling
    use_displaced_mesh = false
    variable = disp_y
    component = 1
  []
  [poro_z]
    type = PorousFlowEffectiveStressCoupling
    use_displaced_mesh = false
    component = 2
    variable = disp_z
  []
  [mass0]
    type = PorousFlowMassTimeDerivative
    fluid_component = 0
    variable = porepressure
  []
  [flux]
    type = PorousFlowAdvectiveFlux
    use_displaced_mesh = false
    variable = porepressure
    gravity = '0 0 -10E-6'
    fluid_component = 0
  []
  [poro_vol_exp]
    type = PorousFlowMassVolumetricExpansion
    block = '2 3 4 5 6 7 8 9 10 11 12 13 14 15 16'
    variable = porepressure
    fluid_component = 0
  []
[]


[AuxVariables]
  [saturation]
    order = CONSTANT
    family = MONOMIAL
  []
  [darcy_x]
    order = CONSTANT
    family = MONOMIAL
  []
  [darcy_y]
    order = CONSTANT
    family = MONOMIAL
  []
  [darcy_z]
    order = CONSTANT
    family = MONOMIAL
  []
  [porosity]
    order = CONSTANT
    family = MONOMIAL
  []
  [wc_z]
  []
  [stress_xx]
    order = CONSTANT
    family = MONOMIAL
  []
  [stress_xy]
    order = CONSTANT
    family = MONOMIAL
  []
  [stress_xz]
    order = CONSTANT
    family = MONOMIAL
  []
  [stress_yx]
    order = CONSTANT
    family = MONOMIAL
  []
  [stress_yy]
    order = CONSTANT
    family = MONOMIAL
  []
  [stress_yz]
    order = CONSTANT
    family = MONOMIAL
  []
  [stress_zx]
    order = CONSTANT
    family = MONOMIAL
  []
  [stress_zy]
    order = CONSTANT
    family = MONOMIAL
  []
  [stress_zz]
    order = CONSTANT
    family = MONOMIAL
  []
  [total_strain_xx]
    order = CONSTANT
    family = MONOMIAL
  []
  [total_strain_xy]
    order = CONSTANT
    family = MONOMIAL
  []
  [total_strain_xz]
    order = CONSTANT
    family = MONOMIAL
  []
  [total_strain_yx]
    order = CONSTANT
    family = MONOMIAL
  []
  [total_strain_yy]
    order = CONSTANT
    family = MONOMIAL
  []
  [total_strain_yz]
    order = CONSTANT
    family = MONOMIAL
  []
  [total_strain_zx]
    order = CONSTANT
    family = MONOMIAL
  []
  [total_strain_zy]
    order = CONSTANT
    family = MONOMIAL
  []
  [total_strain_zz]
    order = CONSTANT
    family = MONOMIAL
  []
  [perm_xx]
    order = CONSTANT
    family = MONOMIAL
  []
  [perm_yy]
    order = CONSTANT
    family = MONOMIAL
  []
  [perm_zz]
    order = CONSTANT
    family = MONOMIAL
  []
  [mc_shear]
    order = CONSTANT
    family = MONOMIAL
  []
  [mc_tensile]
    order = CONSTANT
    family = MONOMIAL
  []
  [wp_shear]
    order = CONSTANT
    family = MONOMIAL
  []
  [wp_tensile]
    order = CONSTANT
    family = MONOMIAL
  []
  [wp_shear_f]
    order = CONSTANT
    family = MONOMIAL
  []
  [wp_tensile_f]
    order = CONSTANT
    family = MONOMIAL
  []
  [mc_shear_f]
    order = CONSTANT
    family = MONOMIAL
  []
  [mc_tensile_f]
    order = CONSTANT
    family = MONOMIAL
  []
[]

[AuxKernels]
  [saturation_water]
    type = PorousFlowPropertyAux
    variable = saturation
    property = saturation
    phase = 0
    execute_on = timestep_end
  []
  [darcy_x]
    type = PorousFlowDarcyVelocityComponent
    variable = darcy_x
    gravity = '0 0 -10E-6'
    component = x
  []
  [darcy_y]
    type = PorousFlowDarcyVelocityComponent
    variable = darcy_y
    gravity = '0 0 -10E-6'
    component = y
  []
  [darcy_z]
    type = PorousFlowDarcyVelocityComponent
    variable = darcy_z
    gravity = '0 0 -10E-6'
    component = z
  []
  [porosity]
    type = PorousFlowPropertyAux
    property = porosity
    variable = porosity
    execute_on = timestep_end
  []
  [stress_xx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xx
    index_i = 0
    index_j = 0
    execute_on = timestep_end
  []
  [stress_xy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xy
    index_i = 0
    index_j = 1
    execute_on = timestep_end
  []
  [stress_xz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xz
    index_i = 0
    index_j = 2
    execute_on = timestep_end
  []
  [stress_yx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yx
    index_i = 1
    index_j = 0
    execute_on = timestep_end
  []
  [stress_yy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yy
    index_i = 1
    index_j = 1
    execute_on = timestep_end
  []
  [stress_yz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yz
    index_i = 1
    index_j = 2
    execute_on = timestep_end
  []
  [stress_zx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zx
    index_i = 2
    index_j = 0
    execute_on = timestep_end
  []
  [stress_zy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zy
    index_i = 2
    index_j = 1
    execute_on = timestep_end
  []
  [stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zz
    index_i = 2
    index_j = 2
    execute_on = timestep_end
  []
  [total_strain_xx]
    type = RankTwoAux
    rank_two_tensor = total_strain
    variable = total_strain_xx
    index_i = 0
    index_j = 0
    execute_on = timestep_end
  []
  [total_strain_xy]
    type = RankTwoAux
    rank_two_tensor = total_strain
    variable = total_strain_xy
    index_i = 0
    index_j = 1
    execute_on = timestep_end
  []
  [total_strain_xz]
    type = RankTwoAux
    rank_two_tensor = total_strain
    variable = total_strain_xz
    index_i = 0
    index_j = 2
    execute_on = timestep_end
  []
  [total_strain_yx]
    type = RankTwoAux
    rank_two_tensor = total_strain
    variable = total_strain_yx
    index_i = 1
    index_j = 0
    execute_on = timestep_end
  []
  [total_strain_yy]
    type = RankTwoAux
    rank_two_tensor = total_strain
    variable = total_strain_yy
    index_i = 1
    index_j = 1
    execute_on = timestep_end
  []
  [total_strain_yz]
    type = RankTwoAux
    rank_two_tensor = total_strain
    variable = total_strain_yz
    index_i = 1
    index_j = 2
    execute_on = timestep_end
  []
  [total_strain_zx]
    type = RankTwoAux
    rank_two_tensor = total_strain
    variable = total_strain_zx
    index_i = 2
    index_j = 0
    execute_on = timestep_end
  []
  [total_strain_zy]
    type = RankTwoAux
    rank_two_tensor = total_strain
    variable = total_strain_zy
    index_i = 2
    index_j = 1
    execute_on = timestep_end
  []
  [total_strain_zz]
    type = RankTwoAux
    rank_two_tensor = total_strain
    variable = total_strain_zz
    index_i = 2
    index_j = 2
    execute_on = timestep_end
  []
  [perm_xx]
    type = PorousFlowPropertyAux
    property = permeability
    variable = perm_xx
    row = 0
    column = 0
    execute_on = timestep_end
  []
  [perm_yy]
    type = PorousFlowPropertyAux
    property = permeability
    variable = perm_yy
    row = 1
    column = 1
    execute_on = timestep_end
  []
  [perm_zz]
    type = PorousFlowPropertyAux
    property = permeability
    variable = perm_zz
    row = 2
    column = 2
    execute_on = timestep_end
  []
  [mc_shear]
    type = MaterialStdVectorAux
    index = 0
    property = mc_plastic_internal_parameter
    variable = mc_shear
    execute_on = timestep_end
  []
  [mc_tensile]
    type = MaterialStdVectorAux
    index = 1
    property = mc_plastic_internal_parameter
    variable = mc_tensile
    execute_on = timestep_end
  []
  [wp_shear]
    type = MaterialStdVectorAux
    index = 0
    property = wp_plastic_internal_parameter
    variable = wp_shear
    execute_on = timestep_end
  []
  [wp_tensile]
    type = MaterialStdVectorAux
    index = 1
    property = wp_plastic_internal_parameter
    variable = wp_tensile
    execute_on = timestep_end
  []
  [mc_shear_f]
    type = MaterialStdVectorAux
    index = 6
    property = mc_plastic_yield_function
    variable = mc_shear_f
    execute_on = timestep_end
  []
  [mc_tensile_f]
    type = MaterialStdVectorAux
    index = 0
    property = mc_plastic_yield_function
    variable = mc_tensile_f
    execute_on = timestep_end
  []
  [wp_shear_f]
    type = MaterialStdVectorAux
    index = 0
    property = wp_plastic_yield_function
    variable = wp_shear_f
    execute_on = timestep_end
  []
  [wp_tensile_f]
    type = MaterialStdVectorAux
    index = 1
    property = wp_plastic_yield_function
    variable = wp_tensile_f
    execute_on = timestep_end
  []
[]



[BCs]
  [no_x]
    type = DirichletBC
    variable = disp_x
    boundary = 'xmin xmax'
    value = 0.0
  []
  [no_y]
    type = DirichletBC
    variable = disp_y
    boundary = 'ymin ymax'
    value = 0.0
  []
  [no_z]
    type = DirichletBC
    variable = disp_z
    boundary = zmin
    value = 0.0
  []
  [no_wc_x]
    type = DirichletBC
    variable = wc_x
    boundary = 'ymin ymax'
    value = 0.0
  []
  [no_wc_y]
    type = DirichletBC
    variable = wc_y
    boundary = 'xmin xmax'
    value = 0.0
  []
  [fix_porepressure]
    type = FunctionDirichletBC
    variable = porepressure
    boundary = 'ymin ymax xmax'
    function = ini_pp
  []
  [roof_porepressure]
    type = PorousFlowPiecewiseLinearSink
    variable = porepressure
    pt_vals = '-1E3 1E3'
    multipliers = '-1 1'
    fluid_phase = 0
    flux_function = roof_conductance
    boundary = roof
  []
  [roof_bcs]
    type = StickyBC
    variable = disp_z
    min_value = -3.0
    boundary = roof
  []
[]

[Functions]
  [ini_pp]
    type = ParsedFunction
    symbol_names = 'bulk p0 g    rho0'
    symbol_values = '2E3 0.0 1E-5 1E3'
    expression = '-bulk*log(exp(-p0/bulk)+g*rho0*z/bulk)'
  []
  [ini_xx]
    type = ParsedFunction
    symbol_names = 'bulk p0 g    rho0 biot'
    symbol_values = '2E3 0.0 1E-5 1E3  0.7'
    expression = '0.8*(2500*10E-6*z+biot*(-bulk*log(exp(-p0/bulk)+g*rho0*z/bulk)))'
  []
  [ini_zz]
    type = ParsedFunction
    symbol_names = 'bulk p0 g    rho0 biot'
    symbol_values = '2E3 0.0 1E-5 1E3  0.7'
    expression = '2500*10E-6*z+biot*(-bulk*log(exp(-p0/bulk)+g*rho0*z/bulk))'
  []
  [excav_sideways]
    type = ParsedFunction
    symbol_names = 'end_t ymin ymax  minval maxval slope'
    symbol_values = '0.5   0    1000.0 1E-9 1 60'
    # excavation face at ymin+(ymax-ymin)*min(t/end_t,1)
    # slope is the distance over which the modulus reduces from maxval to minval
    expression = 'if(y<ymin+(ymax-ymin)*min(t/end_t,1),minval,if(y<ymin+(ymax-ymin)*min(t/end_t,1)+slope,minval+(maxval-minval)*(y-(ymin+(ymax-ymin)*min(t/end_t,1)))/slope,maxval))'
  []
  [density_sideways]
    type = ParsedFunction
    symbol_names = 'end_t ymin ymax  minval maxval'
    symbol_values = '0.5   0    1000.0 0 2500'
    expression = 'if(y<ymin+(ymax-ymin)*min(t/end_t,1),minval,maxval)'
  []
  [roof_conductance]
    type = ParsedFunction
    symbol_names = 'end_t ymin ymax   maxval minval'
    symbol_values = '0.5   0    1000.0 1E7      0'
    expression = 'if(y<ymin+(ymax-ymin)*min(t/end_t,1),maxval,minval)'
  []
[]

[UserObjects]
  [dictator]
    type = PorousFlowDictator
    porous_flow_vars = 'porepressure disp_x disp_y disp_z'
    number_fluid_phases = 1
    number_fluid_components = 1
  []
  [pc]
    type = PorousFlowCapillaryPressureVG
    m = 0.5
    alpha = 1 # MPa^-1
  []

  [mc_coh_strong_harden]
    type = TensorMechanicsHardeningExponential
    value_0 = 1.99 # MPa
    value_residual = 2.01 # MPa
    rate = 1.0
  []
  [mc_fric]
    type = TensorMechanicsHardeningConstant
    value = 0.61 # 35deg
  []
  [mc_dil]
    type = TensorMechanicsHardeningConstant
    value = 0.15 # 8deg
  []

  [mc_tensile_str_strong_harden]
    type = TensorMechanicsHardeningExponential
    value_0 = 1.0 # MPa
    value_residual = 1.0 # MPa
    rate = 1.0
  []
  [mc_compressive_str]
    type = TensorMechanicsHardeningCubic
    value_0 = 100 # Large!
    value_residual = 100
    internal_limit = 0.1
  []

  [wp_coh_harden]
    type = TensorMechanicsHardeningCubic
    value_0 = 0.05
    value_residual = 0.05
    internal_limit = 10
  []
  [wp_tan_fric]
    type = TensorMechanicsHardeningConstant
    value = 0.26 # 15deg
  []
  [wp_tan_dil]
    type = TensorMechanicsHardeningConstant
    value = 0.18 # 10deg
  []

  [wp_tensile_str_harden]
    type = TensorMechanicsHardeningCubic
    value_0 = 0.05
    value_residual = 0.05
    internal_limit = 10
  []
  [wp_compressive_str_soften]
    type = TensorMechanicsHardeningCubic
    value_0 = 100
    value_residual = 1
    internal_limit = 1.0
  []
[]

[FluidProperties]
  [simple_fluid]
    type = SimpleFluidProperties
    bulk_modulus = 2E3
    density0 = 1000
    thermal_expansion = 0
    viscosity = 3.5E-17
  []
[]

[Materials]
  [temperature]
    type = PorousFlowTemperature
  []
  [eff_fluid_pressure]
    type = PorousFlowEffectiveFluidPressure
  []
  [vol_strain]
    type = PorousFlowVolumetricStrain
  []
  [ppss]
    type = PorousFlow1PhaseP
    porepressure = porepressure
    capillary_pressure = pc
  []
  [massfrac]
    type = PorousFlowMassFraction
  []
  [simple_fluid]
    type = PorousFlowSingleComponentFluid
    fp = simple_fluid
    phase = 0
  []
  [porosity_bulk]
    type = PorousFlowPorosity
    fluid = true
    mechanical = true
    block = '2 3 4 5 6 7 8 9 10 11 12 13 14 15 16'
    ensure_positive = true
    porosity_zero = 0.02
    solid_bulk = 5.3333E3
  []
  [porosity_excav]
    type = PorousFlowPorosityConst
    block = 1
    porosity = 1.0
  []
  [permeability_bulk]
    type = PorousFlowPermeabilityKozenyCarman
    block = '2 3 4 5 6 7 8 9 10 11 12 13 14 15 16'
    poroperm_function = kozeny_carman_phi0
    k0 = 1E-15
    phi0 = 0.02
    n = 2
    m = 2
  []
  [permeability_excav]
    type = PorousFlowPermeabilityConst
    block = 1
    permeability = '0 0 0   0 0 0   0 0 0'
  []
  [relperm]
    type = PorousFlowRelativePermeabilityCorey
    n = 4
    s_res = 0.4
    sum_s_res = 0.4
    phase = 0
  []

  [elasticity_tensor_0]
    type = ComputeLayeredCosseratElasticityTensor
     block = '2 3 4 5 6 7 8 9 10 11 12 13 14 15 16'
    young = 8E3 # MPa
    poisson = 0.25
    layer_thickness = 1.0
    joint_normal_stiffness = 1E9 # huge
    joint_shear_stiffness = 1E3 # MPa
  []
  [elasticity_tensor_1]
    type = ComputeLayeredCosseratElasticityTensor
    block = 1
    young = 8E3 # MPa
    poisson = 0.25
    layer_thickness = 1.0
    joint_normal_stiffness = 1E9 # huge
    joint_shear_stiffness = 1E3 # MPa
    elasticity_tensor_prefactor = excav_sideways
  []
  [strain]
    type = ComputeCosseratIncrementalSmallStrain
    eigenstrain_names = ini_stress
  []
  [ini_stress]
    type = ComputeEigenstrainFromInitialStress
    eigenstrain_name = ini_stress
    initial_stress = 'ini_xx 0 0  0 ini_xx 0  0 0 ini_zz'
  []

  [stress_0]
    type = ComputeMultipleInelasticCosseratStress
     block = '2 3 4 5 6 7 8 9 10 11 12 13 14 15 16'
    inelastic_models = 'mc wp'
    cycle_models = true
    relative_tolerance = 2.0
    absolute_tolerance = 1E6
    max_iterations = 1
    tangent_operator = nonlinear
    perform_finite_strain_rotations = false
  []
  [stress_1]
    type = ComputeMultipleInelasticCosseratStress
    block = 1
    inelastic_models = ''
    relative_tolerance = 2.0
    absolute_tolerance = 1E6
    max_iterations = 1
    tangent_operator = nonlinear
    perform_finite_strain_rotations = false
  []
  [mc]
    type = CappedMohrCoulombCosseratStressUpdate
    warn_about_precision_loss = false
    host_youngs_modulus = 8E3
    host_poissons_ratio = 0.25
    base_name = mc
    tensile_strength = mc_tensile_str_strong_harden
    compressive_strength = mc_compressive_str
    cohesion = mc_coh_strong_harden
    friction_angle = mc_fric
    dilation_angle = mc_dil
    max_NR_iterations = 100000
    smoothing_tol = 0.1 # MPa  # Must be linked to cohesion
    yield_function_tol = 1E-9 # MPa.  this is essentially the lowest possible without lots of precision loss
    perfect_guess = true
    min_step_size = 1.0
  []
  [wp]
    type = CappedWeakPlaneCosseratStressUpdate
    warn_about_precision_loss = false
    base_name = wp
    cohesion = wp_coh_harden
    tan_friction_angle = wp_tan_fric
    tan_dilation_angle = wp_tan_dil
    tensile_strength = wp_tensile_str_harden
    compressive_strength = wp_compressive_str_soften
    max_NR_iterations = 10000
    tip_smoother = 0.05
    smoothing_tol = 0.05 # MPa  # Note, this must be tied to cohesion, otherwise get no possible return at cone apex
    yield_function_tol = 1E-11 # MPa.  this is essentially the lowest possible without lots of precision loss
    perfect_guess = true
    min_step_size = 1.0E-3
  []


  [undrained_density_0]
    type = GenericConstantMaterial
     block = '2 3 4 5 6 7 8 9 10 11 12 13 14 15 16'
    prop_names = density
    prop_values = 2500
  []
  [undrained_density_1]
    type = GenericFunctionMaterial
    block = 1
    prop_names = density
    prop_values = density_sideways
  []
[]

[Preconditioning]
  [SMP]
    type = SMP
    full = true
  []
[]

[Postprocessors]
  [min_roof_disp]
    type = NodalExtremeValue
    boundary = roof
    value_type = min
    variable = disp_z
  []
  [min_roof_pp]
    type = NodalExtremeValue
    boundary = roof
    value_type = min
    variable = porepressure
  []
  [min_surface_disp]
    type = NodalExtremeValue
    boundary = zmax
    value_type = min
    variable = disp_z
  []
  [min_surface_pp]
    type = NodalExtremeValue
    boundary = zmax
    value_type = min
    variable = porepressure
  []
  [max_perm_zz]
    type = ElementExtremeValue
     block = '2 3 4 5 6 7 8 9 10 11 12 13 14 15 16'
    variable = perm_zz
  []
[]

[Executioner]
  type = Transient

  solve_type = 'NEWTON'

  petsc_options = '-snes_converged_reason'

  # best overall
  # petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
  # petsc_options_value = ' lu       mumps'

  # best if you do not have mumps:
  petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
  petsc_options_value = ' lu       superlu_dist'

  # best if you do not have mumps or superlu_dist:
  #petsc_options_iname = '-pc_type -pc_asm_overlap -sub_pc_type -ksp_type -ksp_gmres_restart'
  #petsc_options_value = ' asm      2              lu            gmres     200'

  # very basic:
  #petsc_options_iname = '-pc_type -ksp_type -ksp_gmres_restart'
  #petsc_options_value = ' bjacobi  gmres     200'

  line_search = bt

  nl_abs_tol = 1e-3
  nl_rel_tol = 1e-5

  l_max_its = 200
  nl_max_its = 30

  start_time = 0.0
  dt = 0.014706
  end_time = 0.014706 #0.5
[]

[Outputs]
  time_step_interval = 1
  print_linear_residuals = true
  exodus = true
  csv = true
  console = true
[]

(modules/contact/test/tests/mortar_cartesian_lms/cylinder_friction_cartesian_vcp.i)

[GlobalParams]
  volumetric_locking_correction = true
  displacements = 'disp_x disp_y'
[]

[Mesh]
  [input_file]
    type = FileMeshGenerator
    file = hertz_cyl_coarser.e
  []
  [secondary]
    type = LowerDBlockFromSidesetGenerator
    new_block_id = 10001
    new_block_name = 'secondary_lower'
    sidesets = '3'
    input = input_file
  []
  [primary]
    type = LowerDBlockFromSidesetGenerator
    new_block_id = 10000
    sidesets = '2'
    new_block_name = 'primary_lower'
    input = secondary
  []
[]

[Problem]
  type = ReferenceResidualProblem
  extra_tag_vectors = 'ref'
  reference_vector = 'ref'
  converge_on = 'disp_x disp_y'
[]

[Variables]
  [disp_x]
  []
  [disp_y]
  []
  [lm_x]
    block = 'secondary_lower'
    use_dual = true
    scaling = 1.0e-5
  []
  [lm_y]
    block = 'secondary_lower'
    use_dual = true
    scaling = 1.0e-5
  []
[]

[AuxVariables]
  [stress_xx]
    order = CONSTANT
    family = MONOMIAL
  []
  [stress_yy]
    order = CONSTANT
    family = MONOMIAL
  []
  [stress_xy]
    order = CONSTANT
    family = MONOMIAL
  []
  [saved_x]
  []
  [saved_y]
  []
  [diag_saved_x]
  []
  [diag_saved_y]
  []
[]

[Functions]
  [disp_ramp_vert]
    type = PiecewiseLinear
    x = '0. 1. 3.5'
    y = '0. -0.020 -0.020'
  []
  [disp_ramp_horz]
    type = PiecewiseLinear
    x = '0. 1. 3.5'
    y = '0. 0.0 0.015'
  []
[]

[Physics/SolidMechanics/QuasiStatic]
  [all]
    incremental = false
    save_in = 'saved_x saved_y'
    extra_vector_tags = 'ref'
    block = '1 2 3 4 5 6 7'
    strain = SMALL
    add_variables = false
  []
[]

[AuxKernels]
  [stress_xx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xx
    index_i = 0
    index_j = 0
    execute_on = timestep_end
    block = '1 2 3 4 5 6 7'
  []
  [stress_yy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yy
    index_i = 1
    index_j = 1
    execute_on = timestep_end
    block = '1 2 3 4 5 6 7'
  []
  [stress_xy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xy
    index_i = 0
    index_j = 1
    execute_on = timestep_end
    block = '1 2 3 4 5 6 7'
  []
[]

[Postprocessors]
  [bot_react_x]
    type = NodalSum
    variable = saved_x
    boundary = 1
  []
  [bot_react_y]
    type = NodalSum
    variable = saved_y
    boundary = 1
  []
  [top_react_x]
    type = NodalSum
    variable = saved_x
    boundary = 4
  []
  [top_react_y]
    type = NodalSum
    variable = saved_y
    boundary = 4
  []
  [_dt]
    type = TimestepSize
  []
[]

[BCs]
  [side_x]
    type = DirichletBC
    variable = disp_y
    boundary = '1 2'
    value = 0.0
  []
  [bot_y]
    type = DirichletBC
    variable = disp_x
    boundary = '1 2'
    value = 0.0
  []
  [top_y_disp]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 4
    function = disp_ramp_vert
  []
  [top_x_disp]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 4
    function = disp_ramp_horz
  []
[]

[Materials]
  [stuff1_elas_tens]
    type = ComputeIsotropicElasticityTensor
    block = '1'
    youngs_modulus = 1e10
    poissons_ratio = 0.0
  []
  [stuff2_elas_tens]
    type = ComputeIsotropicElasticityTensor
    block = '2 3 4 5 6 7'
    youngs_modulus = 1e6
    poissons_ratio = 0.3
  []
  [stuff1_stress]
    type = ComputeLinearElasticStress
    block = '1'
  []
  [stuff2_stress]
    type = ComputeLinearElasticStress
    block = '2 3 4 5 6 7'
  []
[]

[Executioner]
  type = Transient
  solve_type = 'NEWTON'

  petsc_options = '-snes_ksp_ew'
  petsc_options_iname = '-pc_factor_shift_type -pc_factor_shift_amount'
  petsc_options_value = 'NONZERO               1e-12'

  line_search = 'none'
  nl_abs_tol = 1e-7
  l_max_its = 5
  nl_rel_tol = 1e-09
  start_time = -0.1
  end_time = 0.3 # 3.5
  l_tol = 1e-8
  dt = 0.1
  dtmin = 0.001
[]

[Preconditioning]
  [vcp]
    type = VCP
    full = true
    lm_variable = 'lm_x lm_y'
    primary_variable = 'disp_x disp_y'
    preconditioner = 'LU'
    is_lm_coupling_diagonal = false
    adaptive_condensation = true
  []
[]

[VectorPostprocessors]
  [x_disp]
    type = NodalValueSampler
    variable = disp_x
    boundary = '3 4'
    sort_by = id
  []
  [y_disp]
    type = NodalValueSampler
    variable = disp_y
    boundary = '3 4'
    sort_by = id
  []
  [lm_x]
    type = NodalValueSampler
    variable = lm_x
    boundary = '3'
    sort_by = id
  []
  [lm_y]
    type = NodalValueSampler
    variable = lm_y
    boundary = '3'
    sort_by = id
  []
[]

[Outputs]
  print_linear_residuals = true
  perf_graph = true
  exodus = true
  csv = false
  [console]
    type = Console
    max_rows = 5
  []
  [chkfile]
    type = CSV
    show = 'x_disp y_disp lm_x lm_y'
    file_base = cylinder_friction_check
    create_final_symlink = true
    execute_on = 'FINAL'
  []
[]

[Constraints]
  [weighted_gap_lm]
    type = ComputeFrictionalForceCartesianLMMechanicalContact
    primary_boundary = 2
    secondary_boundary = 3
    primary_subdomain = 10000
    secondary_subdomain = 10001
    lm_x = lm_x
    lm_y = lm_y
    variable = lm_x
    disp_x = disp_x
    disp_y = disp_y
    use_displaced_mesh = true
    correct_edge_dropping = false
    mu = 0.4
    c_t = 1.0e6
    c = 1.0e6
  []
  [x]
    type = CartesianMortarMechanicalContact
    primary_boundary = '2'
    secondary_boundary = '3'
    primary_subdomain = '10000'
    secondary_subdomain = '10001'
    variable = lm_x
    secondary_variable = disp_x
    component = x
    use_displaced_mesh = true
    compute_lm_residuals = false
    correct_edge_dropping = false
  []
  [y]
    type = CartesianMortarMechanicalContact
    primary_boundary = '2'
    secondary_boundary = '3'
    primary_subdomain = '10000'
    secondary_subdomain = '10001'
    variable = lm_y
    secondary_variable = disp_y
    component = y
    use_displaced_mesh = true
    compute_lm_residuals = false
    correct_edge_dropping = false
  []

[]

(modules/solid_mechanics/test/tests/lagrangian/cartesian/updated/special/objective_shear.i)

[Mesh]
  [msh]
    type = GeneratedMeshGenerator
    dim = 3
    nx = 1
    ny = 1
    nz = 1
  []
[]

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
  large_kinematics = true
[]

[Variables]
  [disp_x]
  []
  [disp_y]
  []
  [disp_z]
  []
[]

[Kernels]
  [sdx]
    type = UpdatedLagrangianStressDivergence
    variable = disp_x
    component = 0
    use_displaced_mesh = true
  []
  [sdy]
    type = UpdatedLagrangianStressDivergence
    variable = disp_y
    component = 1
    use_displaced_mesh = true
  []
  [sdz]
    type = UpdatedLagrangianStressDivergence
    variable = disp_z
    component = 2
    use_displaced_mesh = true
  []
[]

[AuxVariables]
  [strain_xx]
    order = CONSTANT
    family = MONOMIAL
  []
  [strain_yy]
    order = CONSTANT
    family = MONOMIAL
  []
  [strain_zz]
    order = CONSTANT
    family = MONOMIAL
  []
  [strain_xy]
    order = CONSTANT
    family = MONOMIAL
  []
  [strain_xz]
    order = CONSTANT
    family = MONOMIAL
  []
  [strain_yz]
    order = CONSTANT
    family = MONOMIAL
  []
  [stress_xx]
    order = CONSTANT
    family = MONOMIAL
  []
  [stress_yy]
    order = CONSTANT
    family = MONOMIAL
  []
  [stress_zz]
    order = CONSTANT
    family = MONOMIAL
  []
  [stress_xy]
    order = CONSTANT
    family = MONOMIAL
  []
  [stress_yz]
    order = CONSTANT
    family = MONOMIAL
  []
  [stress_xz]
    order = CONSTANT
    family = MONOMIAL
  []
[]

[AuxKernels]
  [stress_xx]
    type = RankTwoAux
    rank_two_tensor = cauchy_stress
    variable = stress_xx
    index_i = 0
    index_j = 0
    execute_on = timestep_end
  []
  [stress_yy]
    type = RankTwoAux
    rank_two_tensor = cauchy_stress
    variable = stress_yy
    index_i = 1
    index_j = 1
    execute_on = timestep_end
  []
  [stress_zz]
    type = RankTwoAux
    rank_two_tensor = cauchy_stress
    variable = stress_zz
    index_i = 2
    index_j = 2
    execute_on = timestep_end
  []
  [stress_xy]
    type = RankTwoAux
    rank_two_tensor = cauchy_stress
    variable = stress_xy
    index_i = 0
    index_j = 1
    execute_on = timestep_end
  []
  [stress_xz]
    type = RankTwoAux
    rank_two_tensor = cauchy_stress
    variable = stress_xz
    index_i = 0
    index_j = 2
    execute_on = timestep_end
  []
  [stress_yz]
    type = RankTwoAux
    rank_two_tensor = cauchy_stress
    variable = stress_yz
    index_i = 1
    index_j = 2
    execute_on = timestep_end
  []

  [strain_xx]
    type = RankTwoAux
    rank_two_tensor = mechanical_strain
    variable = strain_xx
    index_i = 0
    index_j = 0
    execute_on = timestep_end
  []
  [strain_yy]
    type = RankTwoAux
    rank_two_tensor = mechanical_strain
    variable = strain_yy
    index_i = 1
    index_j = 1
    execute_on = timestep_end
  []
  [strain_zz]
    type = RankTwoAux
    rank_two_tensor = mechanical_strain
    variable = strain_zz
    index_i = 2
    index_j = 2
    execute_on = timestep_end
  []
  [strain_xy]
    type = RankTwoAux
    rank_two_tensor = mechanical_strain
    variable = strain_xy
    index_i = 0
    index_j = 1
    execute_on = timestep_end
  []
  [strain_xz]
    type = RankTwoAux
    rank_two_tensor = mechanical_strain
    variable = strain_xz
    index_i = 0
    index_j = 2
    execute_on = timestep_end
  []
  [strain_yz]
    type = RankTwoAux
    rank_two_tensor = mechanical_strain
    variable = strain_yz
    index_i = 1
    index_j = 2
    execute_on = timestep_end
  []
[]

[Functions]
  [shearme]
    type = PiecewiseLinear
    x = '0 1'
    y = '0 2'
  []
[]

[BCs]
  [back]
    type = DirichletBC
    preset = true
    variable = disp_z
    boundary = back
    value = 0.0
  []
  [bottom_y]
    type = DirichletBC
    preset = true
    variable = disp_y
    boundary = bottom
    value = 0.0
  []
  [bottom_x]
    type = DirichletBC
    preset = true
    variable = disp_x
    boundary = bottom
    value = 0.0
  []
  [shear]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = top
    function = shearme
    preset = true
  []
  [hmm]
    type = DirichletBC
    preset = true
    variable = disp_y
    boundary = top
    value = 0.0
  []
[]

[Materials]
  [elastic_tensor]
    type = ComputeIsotropicElasticityTensor
    youngs_modulus = 1000.0
    poissons_ratio = 0.25
  []
  [compute_stress]
    type = ComputeLagrangianLinearElasticStress
  []
  [compute_strain]
    type = ComputeLagrangianStrain
  []
[]

[Preconditioning]
  [smp]
    type = SMP
    full = true
  []
[]

[Executioner]
  type = Transient
  dt = 0.01

  solve_type = 'newton'

  petsc_options_iname = -pc_type
  petsc_options_value = lu

  nl_abs_tol = 1e-10
  nl_rel_tol = 1e-10

  end_time = 1
[]

[Outputs]
  exodus = true
[]

(test/tests/multiapps/restart/parent2.i)

[Mesh]
  type = GeneratedMesh
  dim = 2
  xmin = 0
  ymin = 0
  xmax = 1
  ymax = 1
  nx = 10
  ny = 10
[]

[Functions]
  [v_fn]
    type = ParsedFunction
    expression = t*x
  []
  [ffn]
    type = ParsedFunction
    expression = x
  []
[]

[AuxVariables]
  [v]
  []
[]

[Variables]
  [u]
  []
[]

[Kernels]
  [diff]
    type = Diffusion
    variable = u
  []
  [td]
    type = TimeDerivative
    variable = u
  []
  [ufn]
    type = BodyForce
    variable = u
    function = ffn
  []
[]

[BCs]
  [all]
    type = FunctionDirichletBC
    variable = u
    boundary = 'left right top bottom'
    function = v_fn
  []
[]

[Executioner]
  type = Transient
  num_steps = 5
  dt = 0.1
  solve_type = 'PJFNK'
[]

[Outputs]
  exodus = true
[]

[MultiApps]
  [sub_app]
    app_type = MooseTestApp
    type = TransientMultiApp
    input_files = 'sub2.i'
    execute_on = timestep_end
    positions = '0 -1 0'
  []
[]

[Transfers]
  [from_sub]
    type = MultiAppGeneralFieldNearestLocationTransfer
    from_multi_app = sub_app
    source_variable = u
    variable = v
  []
[]

[Problem]
  restart_file_base = parent_out_cp/0005
[]

(modules/solid_mechanics/test/tests/cohesive_zone_model/bilinear_mixed_scale_strength.i)

[Mesh]
  [msh]
    type = GeneratedMeshGenerator
    dim = 2
    xmax = 1
    ymax = 2
    nx = 5
    ny = 10
  []
  [block1]
    type = SubdomainBoundingBoxGenerator
    input = 'msh'
    bottom_left = '0 0 0'
    top_right = '1 1 0'
    block_id = 1
    block_name = 'block1'
  []
  [block2]
    type = SubdomainBoundingBoxGenerator
    input = 'block1'
    bottom_left = '0 1 0'
    top_right = '1 2 0'
    block_id = 2
    block_name = 'block2'
  []
  [split]
    type = BreakMeshByBlockGenerator
    input = block2
  []
  [top_node]
    type = ExtraNodesetGenerator
    coord = '0 2 0'
    input = split
    new_boundary = top_node
  []
  [bottom_node]
    type = ExtraNodesetGenerator
    coord = '0 0 0'
    input = top_node
    new_boundary = bottom_node
  []
[]

[GlobalParams]
  displacements = 'disp_x disp_y'
[]

[Physics]
  [SolidMechanics]
    [QuasiStatic]
      generate_output = 'stress_yy'
      [all]
        strain = FINITE
        add_variables = true
        use_automatic_differentiation = true
        decomposition_method = TaylorExpansion
      []
    []
  []
[]

[BCs]
  [fix_x]
    type = DirichletBC
    preset = true
    value = 0.0
    boundary = bottom_node
    variable = disp_x
  []

  [fix_top]
    type = DirichletBC
    preset = true
    boundary = top
    variable = disp_x
    value = 0
  []

  [top]
    type = FunctionDirichletBC
    boundary = top
    variable = disp_y
    function = 'if(t<=0.3,t,if(t<=0.6,0.3-(t-0.3),0.6-t))'
    preset = true
  []

  [bottom]
    type = DirichletBC
    boundary = bottom
    variable = disp_y
    value = 0
    preset = true
  []
[]

[AuxVariables]
  [mode_mixity_ratio]
    order = CONSTANT
    family = MONOMIAL
  []
  [damage]
    order = CONSTANT
    family = MONOMIAL
  []
[]

[AuxKernels]
  [mode_mixity_ratio]
    type = MaterialRealAux
    variable = mode_mixity_ratio
    property = mode_mixity_ratio
    execute_on = timestep_end
    boundary = interface
  []
  [damage]
    type = MaterialRealAux
    variable = damage
    property = damage
    execute_on = timestep_end
    boundary = interface
  []
[]

[Physics/SolidMechanics/CohesiveZone]
  [czm_ik]
    boundary = 'interface'
  []
[]

[Materials]
  [stress]
    type = ADComputeFiniteStrainElasticStress
  []
  [elasticity_tensor]
    type = ADComputeElasticityTensor
    fill_method = symmetric9
    C_ijkl = '1.684e5 0.176e5 0.176e5 1.684e5 0.176e5 1.684e5 0.754e5 0.754e5 0.754e5'
  []
  [normal_strength]
    type = GenericFunctionMaterial
    prop_names = 'N'
    prop_values = 'if(x<0.5,1,100)*1e4'
  []
  [czm]
    type = BiLinearMixedModeTraction
    boundary = 'interface'
    penalty_stiffness = 1e6
    GI_c = 1e3
    GII_c = 1e2
    normal_strength = N
    shear_strength = 1e3
    displacements = 'disp_x disp_y'
    eta = 2.2
    viscosity = 1e-3
  []
[]

[Preconditioning]
  [smp]
    type = SMP
    full = true
  []
[]

[Executioner]
  type = Transient

  solve_type = 'NEWTON'
  line_search = none

  petsc_options_iname = '-pc_type'
  petsc_options_value = 'lu'

  automatic_scaling = true

  l_max_its = 2
  l_tol = 1e-14
  nl_max_its = 30
  nl_rel_tol = 1e-10
  nl_abs_tol = 1e-10
  start_time = 0.0
  dt = 0.01
  end_time = 0.05
  dtmin = 0.01
[]

[Outputs]
  exodus = true
[]

(modules/contact/test/tests/simple_contact/two_block_compress/two_equal_blocks_compress_3d_pg.i)

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
  volumetric_locking_correction = true
[]

[Mesh]
  [left_block]
    type = GeneratedMeshGenerator
    dim = 3
    nx = 1
    ny = 1
    nz = 1
    xmin = -1.0
    xmax = 0.0
    ymin = -0.5
    ymax = 0.5
    zmin = -0.5
    zmax = 0.5
    elem_type = HEX8
  []
  [left_block_sidesets]
    type = RenameBoundaryGenerator
    input = left_block
    old_boundary = '0 1 2 3 4 5'
    new_boundary = 'left_bottom left_back left_right left_front left_left left_top'
  []
  [left_block_id]
    type = SubdomainIDGenerator
    input = left_block_sidesets
    subdomain_id = 1
  []

  [right_block]
    type = GeneratedMeshGenerator
    dim = 3
    nx = 2
    ny = 2
    nz = 2
    xmin = 0.0
    xmax = 1.0
    ymin = -0.5
    ymax = 0.5
    zmin = -0.5
    zmax = 0.5
    elem_type = HEX8
  []
  [right_block_sidesets]
    type = RenameBoundaryGenerator
    input = right_block
    old_boundary = '0 1 2 3 4 5'
    # new_boundary = 'right_bottom right_back right_right right_front right_left right_top'
    new_boundary = '100 101 102 103 104 105'
  []
  [right_block_sidesets_rename]
    type = RenameBoundaryGenerator
    input = right_block_sidesets
    old_boundary = '100 101 102 103 104 105'
    new_boundary = 'right_bottom right_back right_right right_front right_left right_top'
  []
  [right_block_id]
    type = SubdomainIDGenerator
    input = right_block_sidesets_rename
    subdomain_id = 2
  []

  [combined_mesh]
    type = MeshCollectionGenerator
    inputs = 'left_block_id right_block_id'
  []

  [left_lower]
    type = LowerDBlockFromSidesetGenerator
    input = combined_mesh
    sidesets = 'left_right'
    new_block_id = '10001'
    new_block_name = 'secondary_lower'
  []
  [right_lower]
    type = LowerDBlockFromSidesetGenerator
    input = left_lower
    sidesets = 'right_left'
    new_block_id = '10000'
    new_block_name = 'primary_lower'
  []
[]

[Variables]
  [normal_lm]
    block = 'secondary_lower'
    use_dual = true
  []
[]

[AuxVariables]
  [aux_lm]
    block = 'secondary_lower'
    use_dual = false
  []
[]

[Physics/SolidMechanics/QuasiStatic]
  [all]
    strain = FINITE
    incremental = true
    add_variables = true
    block = '1 2'
  []
[]

[Functions]
  [horizontal_movement]
    type = PiecewiseLinear
    x = '0 0.5'
    y = '0 0.2'
  []
  [vertical_movement]
    type = PiecewiseLinear
    x = '0 1.0'
    y = '0 0'
  []
[]

[BCs]
  [push_left_x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'left_left'
    function = horizontal_movement
  []
  [push_left_y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'left_left'
    function = vertical_movement
  []
  [fix_left_z]
    type = DirichletBC
    variable = disp_z
    boundary = 'left_left'
    value = 0.0
  []
  [fix_right_x]
    type = DirichletBC
    variable = disp_x
    boundary = 'right_right'
    value = 0.0
  []
  [fix_right_y]
    type = DirichletBC
    variable = disp_y
    boundary = 'right_right'
    value = 0.0
  []
  [fix_right_z]
    type = DirichletBC
    variable = disp_z
    boundary = 'right_right'
    value = 0.0
  []
[]

[Materials]
  [elasticity_tensor_left]
    type = ComputeIsotropicElasticityTensor
    block = 1
    youngs_modulus = 1.0e6
    poissons_ratio = 0.3
  []
  [stress_left]
    type = ComputeFiniteStrainElasticStress
    block = 1
  []

  [elasticity_tensor_right]
    type = ComputeIsotropicElasticityTensor
    block = 2
    youngs_modulus = 1.0e6
    poissons_ratio = 0.3
  []
  [stress_right]
    type = ComputeFiniteStrainElasticStress
    block = 2
  []
[]

[UserObjects]
  [weighted_gap_uo]
    type = LMWeightedGapUserObject
    primary_boundary = '23'
    secondary_boundary = '11'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    correct_edge_dropping = true
    lm_variable = normal_lm
    disp_x = disp_x
    disp_y = disp_y
    disp_z = disp_z
    use_petrov_galerkin = true
    aux_lm = aux_lm
  []
[]

[Constraints]
  [normal_lm]
    type = ComputeWeightedGapLMMechanicalContact
    primary_boundary = 'right_left'
    secondary_boundary = 'left_right'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    variable = normal_lm
    disp_x = disp_x
    disp_y = disp_y
    disp_z = disp_z
    use_displaced_mesh = true
    correct_edge_dropping = true
    weighted_gap_uo = weighted_gap_uo
  []
  [normal_x]
    type = NormalMortarMechanicalContact
    primary_boundary = 'right_left'
    secondary_boundary = 'left_right'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    variable = normal_lm
    secondary_variable = disp_x
    component = x
    use_displaced_mesh = true
    compute_lm_residuals = false
    correct_edge_dropping = true
    weighted_gap_uo = weighted_gap_uo
  []
  [normal_y]
    type = NormalMortarMechanicalContact
    primary_boundary = 'right_left'
    secondary_boundary = 'left_right'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    variable = normal_lm
    secondary_variable = disp_y
    component = y
    use_displaced_mesh = true
    compute_lm_residuals = false
    correct_edge_dropping = true
    weighted_gap_uo = weighted_gap_uo
  []
  [normal_z]
    type = NormalMortarMechanicalContact
    primary_boundary = 'right_left'
    secondary_boundary = 'left_right'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    variable = normal_lm
    secondary_variable = disp_z
    component = z
    use_displaced_mesh = true
    compute_lm_residuals = false
    correct_edge_dropping = true
    weighted_gap_uo = weighted_gap_uo
  []
[]

[Preconditioning]
  [SMP]
    type = SMP
    full = true
  []
[]

[Executioner]
  type = Transient
  solve_type = 'PJFNK'

  petsc_options_iname = '-pc_type -pc_factor_mat_solver_type -pc_factor_shift_type '
                        '-pc_factor_shift_amount'
  petsc_options_value = 'lu    superlu_dist nonzero 1e-10'

  line_search = 'none'

  dt = 0.1
  dtmin = 0.01
  end_time = 0.4

  l_max_its = 20

  nl_max_its = 20
  nl_rel_tol = 1e-6
  nl_abs_tol = 1e-8
  snesmf_reuse_base = false
[]

[Outputs]
  csv = true
  execute_on = 'FINAL'
[]

[Postprocessors]
  [contact]
    type = ContactDOFSetSize
    variable = normal_lm
    subdomain = 'secondary_lower'
  []
  [normal_lm]
    type = ElementAverageValue
    variable = normal_lm
    block = 'secondary_lower'
  []
  [avg_disp_x]
    type = ElementAverageValue
    variable = disp_x
    block = '1 2'
  []
  [avg_disp_y]
    type = ElementAverageValue
    variable = disp_y
    block = '1 2'
  []
  [max_disp_x]
    type = ElementExtremeValue
    variable = disp_x
    block = '1 2'
  []
  [max_disp_y]
    type = ElementExtremeValue
    variable = disp_y
    block = '1 2'
  []
  [min_disp_x]
    type = ElementExtremeValue
    variable = disp_x
    block = '1 2'
    value_type = min
  []
  [min_disp_y]
    type = ElementExtremeValue
    variable = disp_y
    block = '1 2'
    value_type = min
  []
[]

(test/tests/functions/parsed/scalar.i)

[Mesh]
  type = GeneratedMesh
  dim = 2
  nx = 10
  ny = 10
[]

[Variables]
  [./u]
  [../]
[]

[AuxVariables]
  [./scalar]
    family = SCALAR
    initial_condition = 0
  [../]
[]

[Kernels]
  [./diff]
    type = CoefDiffusion
    variable = u
    coef = 0.1
  [../]
  [./time]
    type = TimeDerivative
    variable = u
  [../]
[]

[AuxScalarKernels]
  [./scalar_aux]
    type = FunctionScalarAux
    variable = scalar
    function = func
  [../]
[]

[BCs]
  [./left]
    type = FunctionDirichletBC
    variable = u
    boundary = left
    function = left_bc
  [../]
  [./right]
    type = DirichletBC
    variable = u
    boundary = right
    value = 1
  [../]
[]

[Functions]
  [./left_bc]
    type = ParsedFunction
    expression = s
    symbol_values = scalar
    symbol_names = s
  [../]
  [./func]
    type = ParsedFunction
    expression = t
  [../]
[]

[Executioner]
  type = Transient
  num_steps = 5
  solve_type = PJFNK
  petsc_options_iname = '-pc_type -pc_hypre_type'
  petsc_options_value = 'hypre boomeramg'
[]

[Outputs]
  exodus = true
[]

(modules/solid_mechanics/test/tests/drucker_prager/small_deform2_lode_zero.i)

# apply repeated stretches in x, y and z directions, so that mean_stress = 0
# This maps out the yield surface in the octahedral plane for zero mean stress

[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]


[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
[]

[Kernels]
  [SolidMechanics]
    displacements = 'disp_x disp_y disp_z'
  [../]
[]


[BCs]
  [./x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'front back'
    function = '-1.5E-6*x+2E-6*x*sin(t)'
  [../]
  [./y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'front back'
    function = '2E-6*y*sin(2*t)'
  [../]
  [./z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'front back'
    function = '-2E-6*z*(sin(t)+sin(2*t))'
  [../]
[]

[AuxVariables]
  [./stress_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./yield_fcn]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]

[AuxKernels]
  [./stress_xx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xx
    index_i = 0
    index_j = 0
  [../]
  [./stress_xy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xy
    index_i = 0
    index_j = 1
  [../]
  [./stress_xz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xz
    index_i = 0
    index_j = 2
  [../]
  [./stress_yy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yy
    index_i = 1
    index_j = 1
  [../]
  [./stress_yz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yz
    index_i = 1
    index_j = 2
  [../]
  [./stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zz
    index_i = 2
    index_j = 2
  [../]
  [./yield_fcn_auxk]
    type = MaterialStdVectorAux
    index = 0
    property = plastic_yield_function
    variable = yield_fcn
  [../]
[]

[Postprocessors]
  [./s_xx]
    type = PointValue
    point = '0 0 0'
    variable = stress_xx
  [../]
  [./s_xy]
    type = PointValue
    point = '0 0 0'
    variable = stress_xy
  [../]
  [./s_xz]
    type = PointValue
    point = '0 0 0'
    variable = stress_xz
  [../]
  [./s_yy]
    type = PointValue
    point = '0 0 0'
    variable = stress_yy
  [../]
  [./s_yz]
    type = PointValue
    point = '0 0 0'
    variable = stress_yz
  [../]
  [./s_zz]
    type = PointValue
    point = '0 0 0'
    variable = stress_zz
  [../]
  [./f]
    type = PointValue
    point = '0 0 0'
    variable = yield_fcn
  [../]
  [./f0]
    type = PointValue
    point = '0 0 0'
    variable = yield_fcn
  [../]
  [./f1]
    type = PointValue
    point = '0 0 0'
    variable = yield_fcn
  [../]
[]

[UserObjects]
  [./mc_coh]
    type = SolidMechanicsHardeningConstant
    value = 10
  [../]
  [./mc_phi]
    type = SolidMechanicsHardeningConstant
    value = 20
    convert_to_radians = true
  [../]
  [./mc_psi]
    type = SolidMechanicsHardeningConstant
    value = 0
  [../]
  [./mc]
    type = SolidMechanicsPlasticDruckerPragerHyperbolic
    mc_cohesion = mc_coh
    mc_friction_angle = mc_phi
    mc_dilation_angle = mc_psi
    smoother = 4
    mc_interpolation_scheme = lode_zero
    yield_function_tolerance = 1E-5
    internal_constraint_tolerance = 1E-11
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    block = 0
    fill_method = symmetric_isotropic
    C_ijkl = '0 1E7'
  [../]
  [./strain]
    type = ComputeIncrementalStrain
    block = 0
    displacements = 'disp_x disp_y disp_z'
  [../]
  [./mc]
    type = ComputeMultiPlasticityStress
    block = 0
    ep_plastic_tolerance = 1E-12
    plastic_models = mc
    debug_fspb = crash
  [../]
[]


[Executioner]
  end_time = 100
  dt = 1
  type = Transient
[]


[Outputs]
  file_base = small_deform2_lode_zero
  exodus = false
  [./csv]
    type = CSV
    [../]
[]

(modules/solid_mechanics/test/tests/central_difference/lumped/3D/3d_lumped_explicit.i)

# Test for the central difference time integrator in 3D.

[Mesh]
  [./generated_mesh]
    type = GeneratedMeshGenerator
    dim = 3
    nx = 1
    ny = 1
    nz = 2
    xmin = 0.0
    xmax = 1
    ymin = 0.0
    ymax = 1
    zmin = 0.0
    zmax = 2
  [../]
[]

[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
[]

[AuxVariables]
  [./vel_x]
  [../]
  [./accel_x]
  [../]
  [./vel_y]
  [../]
  [./accel_y]
  [../]
  [./vel_z]
  [../]
  [./accel_z]
  [../]
[]

[AuxKernels]
  [./accel_x]
    type = TestNewmarkTI
    variable = accel_x
    displacement = disp_x
    first = false
  [../]
  [./vel_x]
    type = TestNewmarkTI
    variable = vel_x
    displacement = disp_x
  [../]
  [./accel_y]
    type = TestNewmarkTI
    variable = accel_y
    displacement = disp_y
    first = false
  [../]
  [./vel_y]
    type = TestNewmarkTI
    variable = vel_y
    displacement = disp_x
  [../]
  [./accel_z]
    type = TestNewmarkTI
    variable = accel_z
    displacement = disp_z
    first = false
  [../]
  [./vel_z]
    type = TestNewmarkTI
    variable = vel_z
    displacement = disp_z
  [../]
[]

[Kernels]
  [./DynamicSolidMechanics]
    displacements = 'disp_x disp_y disp_z'
  [../]
  [./inertia_x]
    type = InertialForce
    variable = disp_x
  [../]
  [./inertia_y]
    type = InertialForce
    variable = disp_y
  [../]
  [./inertia_z]
    type = InertialForce
    variable = disp_z
  [../]
[]

[BCs]
  [./x_bot]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'back'
    function = dispx
    preset = false
  [../]
  [./y_bot]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'back'
    function = dispy
    preset = false
  [../]
  [./z_bot]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'back'
    function = dispz
    preset = false
  [../]
[]

[Functions]
  [./dispx]
    type = PiecewiseLinear
    x = '0.0 1.0 2.0 3.0 4.0' # time
    y = '0.0 1.0 0.0 -1.0 0.0'  # displacement
  [../]
  [./dispy]
    type = ParsedFunction
    expression = 0.1*t*t*sin(10*t)
  [../]
  [./dispz]
    type = ParsedFunction
    expression = 0.1*t*t*sin(20*t)
  [../]
[]

[Materials]
  [./elasticity_tensor_block]
    type = ComputeIsotropicElasticityTensor
    youngs_modulus = 1e6
    poissons_ratio = 0.25
    block = 0
  [../]
  [./strain_block]
    type = ComputeIncrementalStrain
    block = 0
    displacements = 'disp_x disp_y disp_z'
    implicit = false
  [../]
  [./stress_block]
    type = ComputeFiniteStrainElasticStress
    block = 0
  [../]
  [./density]
    type = GenericConstantMaterial
    block = 0
    prop_names = density
    prop_values = 1e4
  [../]
  [wave_speed]
    type = WaveSpeed
  []
[]

[Executioner]
  type = Transient
  start_time = -0.01
  end_time = 0.1
  dt = 0.005
  timestep_tolerance = 1e-6
  [./TimeIntegrator]
    type = CentralDifference
    solve_type = lumped
  [../]
[]

[Postprocessors]
  [./accel_10x]
    type = NodalVariableValue
    nodeid = 10
    variable = accel_x
  [../]
[]

[Outputs]
  exodus = false
  csv = true
[]

(modules/combined/test/tests/phase_field_fracture/crack2d_aniso_cleavage_plane.i)

[Mesh]
  [gen]
    type = GeneratedMeshGenerator
    dim = 2
    nx = 40
    ny = 20
    ymax = 0.5
  []
  [./noncrack]
    type = BoundingBoxNodeSetGenerator
    new_boundary = noncrack
    bottom_left = '0.5 0 0'
    top_right = '1 0 0'
    input = gen
  [../]
[]

[GlobalParams]
  displacements = 'disp_x disp_y'
[]

[Variables]
  [./c]
    family = LAGRANGE
    order = FIRST
  [../]
[]

[Physics]
  [./SolidMechanics]
    [./QuasiStatic]
      [./All]
        add_variables = true
        strain = SMALL
        additional_generate_output = 'strain_yy stress_yy'
        planar_formulation = PLANE_STRAIN
      [../]
    [../]
  [../]
[]

[Kernels]
  [./ACbulk]
    type = AllenCahn
    variable = c
    f_name = F
  [../]
  [./ACInterfaceCleavageFracture]
    type = ACInterfaceCleavageFracture
    variable = c
    beta_penalty = 1
    cleavage_plane_normal = '-0.707 0.707 0.0'
  [../]
  [./dcdt]
    type = TimeDerivative
    variable = c
  [../]
  [./solid_x]
    type = PhaseFieldFractureMechanicsOffDiag
    variable = disp_x
    component = 0
    c = c
  [../]
  [./solid_y]
    type = PhaseFieldFractureMechanicsOffDiag
    variable = disp_y
    component = 1
    c = c
  [../]
  [./off_disp]
    type = AllenCahnElasticEnergyOffDiag
    variable = c
    displacements = 'disp_x disp_y'
    mob_name = L
  [../]
[]

[BCs]
  [./ydisp]
    type = FunctionDirichletBC
    preset = true
    variable = disp_y
    boundary = top
    function = 't'
  [../]
  [./yfix]
    type = DirichletBC
    preset = true
    variable = disp_y
    boundary = noncrack
    value = 0
  [../]
  [./xfix]
  type = DirichletBC
  preset = true
    variable = disp_x
    boundary = right
    value = 0
  [../]
[]

[Materials]
  [./pfbulkmat]
    type = GenericConstantMaterial
    prop_names = 'gc_prop l visco'
    prop_values = '1e-3 0.05 1e-6'
  [../]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    C_ijkl = '127.0 70.8 70.8 127.0 70.8 127.0 73.55 73.55 73.55'
    fill_method = symmetric9
    euler_angle_1 = 30
    euler_angle_2 = 0
    euler_angle_3 = 0
  [../]
  [./define_mobility]
    type = ParsedMaterial
    material_property_names = 'gc_prop visco'
    property_name = L
    expression = '1.0/(gc_prop * visco)'
  [../]
  [./define_kappa]
    type = ParsedMaterial
    material_property_names = 'gc_prop l'
    property_name = kappa_op
    expression = 'gc_prop * l'
  [../]
  [./damage_stress]
    type = ComputeLinearElasticPFFractureStress
    c = c
    E_name = 'elastic_energy'
    D_name = 'degradation'
    F_name = 'local_fracture_energy'
    decomposition_type = stress_spectral
  [../]
  [./degradation]
    type = DerivativeParsedMaterial
    property_name = degradation
    coupled_variables = 'c'
    expression = '(1.0-c)^2*(1.0 - eta) + eta'
    constant_names       = 'eta'
    constant_expressions = '1.0e-6'
    derivative_order = 2
  [../]
  [./local_fracture_energy]
    type = DerivativeParsedMaterial
    property_name = local_fracture_energy
    coupled_variables = 'c'
    material_property_names = 'gc_prop l'
    expression = 'c^2 * gc_prop / 2 / l'
    derivative_order = 2
  [../]
  [./fracture_driving_energy]
    type = DerivativeSumMaterial
    coupled_variables = c
    sum_materials = 'elastic_energy local_fracture_energy'
    derivative_order = 2
    property_name = F
  [../]
[]

[Postprocessors]
  [./av_stress_yy]
    type = ElementAverageValue
    variable = stress_yy
  [../]
  [./av_strain_yy]
    type = SideAverageValue
    variable = disp_y
    boundary = top
  [../]
[]

[Preconditioning]
  [./smp]
    type = SMP
    full = true
  [../]
[]

[Executioner]
  type = Transient

  solve_type = PJFNK
  petsc_options_iname = '-pc_type -pc_factor_mat_solving_package'
  petsc_options_value = 'lu superlu_dist'

  nl_rel_tol = 1e-8
  l_tol = 1e-4
  l_max_its = 100
  nl_max_its = 10

  dt = 5e-5
  num_steps = 5
[]

[Outputs]
  exodus = true
[]

(test/tests/geomsearch/3d_moving_penetration/pl_test3.i)

[GlobalParams]
  order = FIRST
  family = LAGRANGE
[]

[Mesh]
  file = pl_test3.e
  displacements = 'disp_x disp_y disp_z'
[]

[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
[]

[AuxVariables]
  [./distance]
  [../]
  [./tangential_distance]
  [../]
  [./normal_x]
  [../]
  [./normal_y]
  [../]
  [./normal_z]
  [../]
  [./closest_point_x]
  [../]
  [./closest_point_y]
  [../]
  [./closest_point_z]
  [../]
  [./element_id]
  [../]
  [./side]
  [../]
[]

[Kernels]
  [./diff_x]
    type = Diffusion
    variable = disp_x
  [../]
  [./diff_y]
    type = Diffusion
    variable = disp_y
  [../]
  [./diff_z]
    type = Diffusion
    variable = disp_z
  [../]
[]

[AuxKernels]
  [./penetrate]
    type = PenetrationAux
    variable = distance
    boundary = 11            #secondary
    paired_boundary = 12     #primary
  [../]

  [./penetrate2]
    type = PenetrationAux
    variable = distance
    boundary = 12            #secondary
    paired_boundary = 11     #primary
  [../]

  [./penetrate3]
    type = PenetrationAux
    variable = tangential_distance
    boundary = 11
    paired_boundary = 12
    quantity = tangential_distance
  [../]

  [./penetrate4]
    type = PenetrationAux
    variable = tangential_distance
    boundary = 12
    paired_boundary = 11
    quantity = tangential_distance
  [../]

  [./penetrate5]
    type = PenetrationAux
    variable = normal_x
    boundary = 11
    paired_boundary = 12
    quantity = normal_x
  [../]

  [./penetrate6]
    type = PenetrationAux
    variable = normal_x
    boundary = 12
    paired_boundary = 11
    quantity = normal_x
  [../]

  [./penetrate7]
    type = PenetrationAux
    variable = normal_y
    boundary = 11
    paired_boundary = 12
    quantity = normal_y
  [../]

  [./penetrate8]
    type = PenetrationAux
    variable = normal_y
    boundary = 12
    paired_boundary = 11
    quantity = normal_y
  [../]

  [./penetrate9]
    type = PenetrationAux
    variable = normal_z
    boundary = 11
    paired_boundary = 12
    quantity = normal_z
  [../]

  [./penetrate10]
    type = PenetrationAux
    variable = normal_z
    boundary = 12
    paired_boundary = 11
    quantity = normal_z
  [../]

  [./penetrate11]
    type = PenetrationAux
    variable = closest_point_x
    boundary = 11
    paired_boundary = 12
    quantity = closest_point_x
  [../]

  [./penetrate12]
    type = PenetrationAux
    variable = closest_point_x
    boundary = 12
    paired_boundary = 11
    quantity = closest_point_x
  [../]

  [./penetrate13]
    type = PenetrationAux
    variable = closest_point_y
    boundary = 11
    paired_boundary = 12
    quantity = closest_point_y
  [../]

  [./penetrate14]
    type = PenetrationAux
    variable = closest_point_y
    boundary = 12
    paired_boundary = 11
    quantity = closest_point_y
  [../]

  [./penetrate15]
    type = PenetrationAux
    variable = closest_point_z
    boundary = 11
    paired_boundary = 12
    quantity = closest_point_z
  [../]

  [./penetrate16]
    type = PenetrationAux
    variable = closest_point_z
    boundary = 12
    paired_boundary = 11
    quantity = closest_point_z
  [../]

  [./penetrate17]
    type = PenetrationAux
    variable = element_id
    boundary = 11
    paired_boundary = 12
    quantity = element_id
  [../]

  [./penetrate18]
    type = PenetrationAux
    variable = element_id
    boundary = 12
    paired_boundary = 11
    quantity = element_id
  [../]

  [./penetrate19]
    type = PenetrationAux
    variable = side
    boundary = 11
    paired_boundary = 12
    quantity = side
  [../]

  [./penetrate20]
    type = PenetrationAux
    variable = side
    boundary = 12
    paired_boundary = 11
    quantity = side
  [../]
[]

[BCs]
  [./b1x]
    type = DirichletBC
    variable = disp_x
    preset = false
    boundary = 1
    value = 0
  [../]

  [./b1y]
    type = DirichletBC
    variable = disp_y
    preset = false
    boundary = 1
    value = 0
  [../]

  [./b1z]
    type = DirichletBC
    variable = disp_z
    preset = false
    boundary = 1
    value = 0
  [../]

  [./b2x]
    type = DirichletBC
    variable = disp_x
    preset = false
    boundary = 2
    value = 0
  [../]

  [./b2y]
    type = FunctionDirichletBC
    variable = disp_y
    preset = false
    boundary = 2
    function = disp_y
  [../]

  [./b2z]
    type = DirichletBC
    variable = disp_z
    preset = false
    boundary = 2
    value = 0
  [../]
[]

[Functions]
  [./disp_y]
    type = PiecewiseLinear
    x = '0.0 0.25 0.75 1.0'
    y = '0.0 2.0 -2.0  0.0'
  [../]
[]

[Executioner]
  type = Transient

  solve_type = 'PJFNK'
  petsc_options = '-snes_ksp_ew'

  nl_rel_tol = 1e-9
  l_max_its = 10

  start_time = 0.0
  dt = 0.02
  end_time = 1.0
[]

[Outputs]
  file_base = pl_test3_out
  exodus = true
[]

(modules/contact/test/tests/sliding_block/in_and_out/frictional_02_penalty.i)

#  This is a benchmark test that checks constraint based frictional
#  contact using the penalty method.  In this test a sinusoidal
#  displacement is applied in the horizontal direction to simulate
#  a small block come in and out of contact as it slides down a larger block.
#
#  The sinusoid is of the form 0.4sin(4t)+0.2 and a friction coefficient
#  of 0.2 is used.  The gold file is run on one processor and the benchmark
#  case is run on a minimum of 4 processors to ensure no parallel variability
#  in the contact pressure and penetration results.  Further documentation can
#  found in moose/modules/contact/doc/sliding_block/
#

[Mesh]
  file = sliding_elastic_blocks_2d.e
  patch_size = 80
[]

[GlobalParams]
  volumetric_locking_correction = false
  displacements = 'disp_x disp_y'
[]

[AuxVariables]
  [penetration]
  []
  [inc_slip_x]
  []
  [inc_slip_y]
  []
  [accum_slip_x]
  []
  [accum_slip_y]
  []
[]

[Functions]
  [vertical_movement]
    type = ParsedFunction
    expression = -t
  []
  [horizontal_movement]
    type = ParsedFunction
    expression = -0.04*sin(4*t)+0.02
  []
[]

[Physics/SolidMechanics/QuasiStatic]
  [all]
    add_variables = true
    strain = FINITE
  []
[]

[AuxKernels]
  [zeroslip_x]
    type = ConstantAux
    variable = inc_slip_x
    boundary = 3
    execute_on = timestep_begin
    value = 0.0
  []
  [zeroslip_y]
    type = ConstantAux
    variable = inc_slip_y
    boundary = 3
    execute_on = timestep_begin
    value = 0.0
  []
  [accum_slip_x]
    type = AccumulateAux
    variable = accum_slip_x
    accumulate_from_variable = inc_slip_x
    execute_on = timestep_end
  []
  [accum_slip_y]
    type = AccumulateAux
    variable = accum_slip_y
    accumulate_from_variable = inc_slip_y
    execute_on = timestep_end
  []
  [penetration]
    type = PenetrationAux
    variable = penetration
    boundary = 3
    paired_boundary = 2
  []
[]

[Postprocessors]
  [nonlinear_its]
    type = NumNonlinearIterations
    execute_on = timestep_end
  []
  [penetration]
    type = NodalVariableValue
    variable = penetration
    nodeid = 222
  []
  [contact_pressure]
    type = NodalVariableValue
    variable = contact_pressure
    nodeid = 222
  []
[]

[BCs]
  [left_x]
    type = DirichletBC
    variable = disp_x
    boundary = 1
    value = 0.0
  []
  [left_y]
    type = DirichletBC
    variable = disp_y
    boundary = 1
    value = 0.0
  []
  [right_x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 4
    function = horizontal_movement
  []
  [right_y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 4
    function = vertical_movement
  []
[]

[Materials]
  [left]
    type = ComputeIsotropicElasticityTensor
    block = '1 2'
    youngs_modulus = 1e6
    poissons_ratio = 0.3
    constant_on = SUBDOMAIN
  []
  [left_stress]
    type = ComputeFiniteStrainElasticStress
    block = '1 2'
  []
[]

[Executioner]
  type = Transient
  solve_type = 'PJFNK'

  petsc_options = '-snes_ksp_ew'
  petsc_options_iname = '-pc_type -sub_pc_type -pc_asm_overlap -ksp_gmres_restart'
  petsc_options_value = 'asm     lu    20    101'

  line_search = 'none'

  l_max_its = 100
  nl_max_its = 1000
  dt = 0.1
  end_time = 15
  num_steps = 1000
  l_tol = 1e-3
  nl_rel_tol = 1e-10
  nl_abs_tol = 1e-6
  dtmin = 0.01

  [Predictor]
    type = SimplePredictor
    scale = 1.0
  []
[]

[Outputs]
  time_step_interval = 10
  [out]
    type = Exodus
    elemental_as_nodal = true
  []
  [console]
    type = Console
    max_rows = 5
  []
[]

[Contact]
  [leftright]
    secondary = 3
    primary = 2
    model = coulomb
    penalty = 4e+6
    friction_coefficient = 0.2
    formulation = penalty
    normal_smoothing_distance = 0.1
  []
[]

(modules/solid_mechanics/test/tests/umat/multiple_blocks/multiple_blocks_two_materials_parallel.i)

# Testing the UMAT Interface - linear elastic model using the large strain formulation.

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]

[Mesh]
  [mesh_1]
    type = GeneratedMeshGenerator
    dim = 3
    xmin = -0.5
    xmax = 0.5
    ymin = -0.5
    ymax = 0.5
    zmin = -0.5
    zmax = 0.5
    nx = 2
    ny = 2
    nz = 2
  []
  [block_1]
    type = SubdomainIDGenerator
    input = mesh_1
    subdomain_id = 1
  []
  [mesh_2]
    type = GeneratedMeshGenerator
    dim = 3
    xmin = -2.0
    xmax = -1.0
    ymin = -2.0
    ymax = -1.0
    zmin = -2.0
    zmax = -1.0
    nx = 2
    ny = 2
    nz = 2
    boundary_name_prefix = 'second'
  []
  [block_2]
    type = SubdomainIDGenerator
    input = mesh_2
    subdomain_id = 2
  []
  [combined]
    type = CombinerGenerator
    inputs = 'block_1 block_2'
  []
[]

[Functions]
  [top_pull]
    type = ParsedFunction
    expression = t/100
  []
  # Forced evolution of temperature
  [temperature_load]
    type = ParsedFunction
    expression = '273'
  []
  # Factor to multiply the elasticity tensor in MOOSE
  [elasticity_prefactor]
    type = ParsedFunction
    expression = '1'
  []
[]

[AuxVariables]
  [temperature]
  []
[]

[AuxKernels]
  [temperature_function]
    type = FunctionAux
    variable = temperature
    function = temperature_load
  []
[]

[Physics/SolidMechanics/QuasiStatic]
  [all]
    add_variables = true
    strain = FINITE
    generate_output = 'stress_yy'
  []
[]

[BCs]
  [y_pull_function]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = top
    function = top_pull
  []
  [x_bot]
    type = DirichletBC
    variable = disp_x
    boundary = left
    value = 0.0
  []
  [y_bot]
    type = DirichletBC
    variable = disp_y
    boundary = bottom
    value = 0.0
  []
  [z_bot]
    type = DirichletBC
    variable = disp_z
    boundary = front
    value = 0.0
  []
[]

[Materials]
  [umat_1]
    type = AbaqusUMATStress
    constant_properties = '1000 0.3'
    plugin = '../../../plugins/elastic_temperature'
    num_state_vars = 0
    temperature = temperature
    use_one_based_indexing = true
    block = '1'
  []
  # Linear strain hardening
  [umat_2]
    type = AbaqusUMATStress
    #  Young's modulus,  Poisson's Ratio, Yield, Hardening
    constant_properties = '1000 0.3 100 100'
    plugin = '../../../plugins/linear_strain_hardening'
    num_state_vars = 3
    use_one_based_indexing = true
    block = '2'
  []

  [elastic]
    type = ComputeIsotropicElasticityTensor
    youngs_modulus = 1000
    poissons_ratio = 0.3
    elasticity_tensor_prefactor = 'elasticity_prefactor'
  []
[]

[Executioner]
  type = Transient
  solve_type = 'PJFNK'

  petsc_options = '-snes_ksp_ew'
  petsc_options_iname = '-ksp_gmres_restart'
  petsc_options_value = '101'

  line_search = 'none'

  l_max_its = 100
  nl_max_its = 100
  nl_rel_tol = 1e-12
  nl_abs_tol = 1e-10
  l_tol = 1e-9
  start_time = 0.0
  num_steps = 30
  dt = 1.0
[]

[Preconditioning]
  [smp]
    type = SMP
    full = true
  []
[]

[Outputs]
  exodus = true
[]

(test/tests/userobjects/layered_average/layered_average_1d_displaced.i)

# This tests that Layered user objects work with displaced meshes.  Originally,
# the mesh is aligned with x-axis.  Then we displace the mesh to be aligned with
# z-axis and sample along the z-direction.

[Mesh]
  type = GeneratedMesh
  dim = 1
  nx = 5
  elem_type = EDGE2
  displacements = 'disp_x disp_y disp_z'
[]

[Functions]
  [./left_fn]
    type = ParsedFunction
    expression = 't + 1'
  [../]

  [./disp_x_fn]
    type = ParsedFunction
    expression = '-x'
  [../]
  [./disp_z_fn]
    type = ParsedFunction
    expression = 'x'
  [../]
[]

[AuxVariables]
  [./la]
    family = MONOMIAL
    order = CONSTANT
  [../]

  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
[]

[AuxKernels]
  [./la_ak]
    type = SpatialUserObjectAux
    variable = la
    user_object = la_uo
    execute_on = TIMESTEP_END
    use_displaced_mesh = true
  [../]

  [./disp_x_ak]
    type = FunctionAux
    variable = disp_x
    function = 'disp_x_fn'
  [../]
  [./disp_y_ak]
    type = ConstantAux
    variable = disp_y
    value = 0
  [../]
  [./disp_z_ak]
    type = FunctionAux
    variable = disp_z
    function = 'disp_z_fn'
  [../]
[]

[UserObjects]
  [./la_uo]
    type = LayeredAverage
    direction = z
    variable = u
    num_layers = 5
    execute_on = TIMESTEP_END
    use_displaced_mesh = true
  [../]
[]

[Variables]
  [./u]
  [../]
[]

[Kernels]
  [./td]
    type = TimeDerivative
    variable = u
  [../]

  [./diff]
    type = Diffusion
    variable = u
  [../]
[]

[BCs]
  [./left]
    type = FunctionDirichletBC
    variable = u
    boundary = left
    function = left_fn
  [../]

  [./right]
    type = DirichletBC
    variable = u
    boundary = right
    value = 0
  [../]
[]

[Executioner]
  type = Transient
  dt = 1
  num_steps = 2
  solve_type = NEWTON
[]

[Outputs]
  exodus = true
[]

(test/tests/time_integrators/actually_explicit_euler_verification/ee-2d-quadratic.i)

[Mesh]
  type = GeneratedMesh
  dim = 2
  xmin = -1
  xmax = 1
  ymin = -1
  ymax = 1
  nx = 10
  ny = 10
  elem_type = QUAD9
[]

[Functions]
  [./ic]
    type = ParsedFunction
    expression = 0
  [../]

  [./forcing_fn]
    type = ParsedFunction
    expression = ((x*x)+(y*y))-(4*t)
  [../]

  [./exact_fn]
    type = ParsedFunction
    expression = t*((x*x)+(y*y))
  [../]
[]

[Variables]
  [./u]
    order = SECOND
    family = LAGRANGE

    [./InitialCondition]
      type = FunctionIC
      function = ic
    [../]
  [../]
[]

[Kernels]
  [./ie]
    type = TimeDerivative
    variable = u
  [../]

  [./diff]
    type = Diffusion
    variable = u
  [../]

  [./ffn]
    type = BodyForce
    variable = u
    function = forcing_fn
  [../]
[]

[BCs]
  [./all]
    type = FunctionDirichletBC
    variable = u
    preset = false
    boundary = '0 1 2 3'
    function = exact_fn
  [../]
[]

[Postprocessors]
  [./l2_err]
    type = ElementL2Error
    variable = u
    function = exact_fn
  [../]
[]

[Executioner]
  type = Transient

  l_tol = 1e-13
  start_time = 0.0
  num_steps = 20
  dt = 0.00005

  [./TimeIntegrator]
    type = ActuallyExplicitEuler
  [../]
[]

[Outputs]
  exodus = true
  [./console]
    type = Console
    max_rows = 10
  [../]
[]

(test/tests/geomsearch/2d_moving_penetration/pl_test4qtt.i)

[GlobalParams]
  order = SECOND
  family = LAGRANGE
[]

[Mesh]
  file = pl_test4q.e
  displacements = 'disp_x disp_y'
[]

[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
[]

[AuxVariables]
  [./distance]
  [../]
  [./tangential_distance]
  [../]
  [./normal_x]
  [../]
  [./normal_y]
  [../]
  [./closest_point_x]
  [../]
  [./closest_point_y]
  [../]
  [./element_id]
  [../]
  [./side]
  [../]
[]

[Kernels]
  [./diff_x]
    type = Diffusion
    variable = disp_x
  [../]
  [./diff_y]
    type = Diffusion
    variable = disp_y
  [../]
[]

[AuxKernels]
  [./penetrate]
    type = PenetrationAux
    variable = distance
    boundary = 11            #secondary
    paired_boundary = 12     #primary
    tangential_tolerance = 0.09
  [../]

  [./penetrate2]
    type = PenetrationAux
    variable = distance
    boundary = 12            #secondary
    paired_boundary = 11     #primary
    tangential_tolerance = 0.09
  [../]

  [./penetrate3]
    type = PenetrationAux
    variable = tangential_distance
    boundary = 11
    paired_boundary = 12
    quantity = tangential_distance
  [../]

  [./penetrate4]
    type = PenetrationAux
    variable = tangential_distance
    boundary = 12
    paired_boundary = 11
    quantity = tangential_distance
  [../]

  [./penetrate5]
    type = PenetrationAux
    variable = normal_x
    boundary = 11
    paired_boundary = 12
    quantity = normal_x
  [../]

  [./penetrate6]
    type = PenetrationAux
    variable = normal_x
    boundary = 12
    paired_boundary = 11
    quantity = normal_x
  [../]

  [./penetrate7]
    type = PenetrationAux
    variable = normal_y
    boundary = 11
    paired_boundary = 12
    quantity = normal_y
  [../]

  [./penetrate8]
    type = PenetrationAux
    variable = normal_y
    boundary = 12
    paired_boundary = 11
    quantity = normal_y
  [../]

  [./penetrate9]
    type = PenetrationAux
    variable = closest_point_x
    boundary = 11
    paired_boundary = 12
    quantity = closest_point_x
  [../]

  [./penetrate10]
    type = PenetrationAux
    variable = closest_point_x
    boundary = 12
    paired_boundary = 11
    quantity = closest_point_x
  [../]

  [./penetrate11]
    type = PenetrationAux
    variable = closest_point_y
    boundary = 11
    paired_boundary = 12
    quantity = closest_point_y
  [../]

  [./penetrate12]
    type = PenetrationAux
    variable = closest_point_y
    boundary = 12
    paired_boundary = 11
    quantity = closest_point_y
  [../]

  [./penetrate13]
    type = PenetrationAux
    variable = element_id
    boundary = 11
    paired_boundary = 12
    quantity = element_id
  [../]

  [./penetrate14]
    type = PenetrationAux
    variable = element_id
    boundary = 12
    paired_boundary = 11
    quantity = element_id
  [../]

  [./penetrate15]
    type = PenetrationAux
    variable = side
    boundary = 11
    paired_boundary = 12
    quantity = side
  [../]

  [./penetrate16]
    type = PenetrationAux
    variable = side
    boundary = 12
    paired_boundary = 11
    quantity = side
  [../]
[]

[BCs]
  [./b1x]
    type = DirichletBC
    variable = disp_x
    boundary = 1
    value = 0
  [../]

  [./b1y]
    type = DirichletBC
    variable = disp_y
    boundary = 1
    value = 0
  [../]

  [./b2x]
    type = DirichletBC
    variable = disp_x
    boundary = 2
    value = 0
  [../]

  [./b2y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 2
    function = disp_y
  [../]
[]

[Functions]
  [./disp_y]
    type = PiecewiseLinear
    x = '0.0 0.25 0.75 1.0'
    y = '0.0 2.0 -2.0  0.0'
  [../]
[]

[Executioner]
  type = Transient

  solve_type = 'PJFNK'
  petsc_options = '-snes_ksp_ew'

  nl_rel_tol = 1e-9
  l_max_its = 10

  start_time = 0.0
  dt = 0.02
  end_time = 1.0
  [./Quadrature]
    order = THIRD
  [../]
[]

[Outputs]
  file_base = pl_test4qtt_out
  exodus = true
[]

(modules/solid_mechanics/test/tests/crystal_plasticity/hcp_single_crystal/update_method_hcp_capyramidal_active.i)

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]

[Mesh]
  [cube]
    type = GeneratedMeshGenerator
    dim = 3
    nx = 2
    ny = 2
    nz = 2
    elem_type = HEX8
  []
  [center_node]
    type = BoundingBoxNodeSetGenerator
    input = cube
    new_boundary = 'center_point'
    top_right = '0.51 0.51 0'
    bottom_left = '0.49 0.49 0'
  []
  [back_edge_y]
    type = BoundingBoxNodeSetGenerator
    input = center_node
    new_boundary = 'back_edge_y'
    bottom_left = '0.9 0.5 0'
    top_right = '1.1 0.5 0'
  []
  [back_edge_x]
    type = BoundingBoxNodeSetGenerator
    input = back_edge_y
    new_boundary = back_edge_x
    bottom_left = '0.5 0.9 0'
    top_right =   '0.5 1.0 0'
  []
[]

[AuxVariables]
  [temperature]
    initial_condition = 300
  []
  [pk2]
    order = CONSTANT
    family = MONOMIAL
  []
  [e_zz]
    order = CONSTANT
    family = MONOMIAL
  []
  [resolved_shear_stress_0]
   order = CONSTANT
   family = MONOMIAL
  []
  [resolved_shear_stress_3]
   order = CONSTANT
   family = MONOMIAL
  []
  [resolved_shear_stress_4]
   order = CONSTANT
   family = MONOMIAL
  []
  [resolved_shear_stress_8]
   order = CONSTANT
   family = MONOMIAL
  []
  [resolved_shear_stress_9]
   order = CONSTANT
   family = MONOMIAL
  []
  [resolved_shear_stress_13]
   order = CONSTANT
   family = MONOMIAL
  []
  [resolved_shear_stress_14]
   order = CONSTANT
   family = MONOMIAL
  []
  [forest_dislocations_0]
   order = CONSTANT
   family = MONOMIAL
  []
  [forest_dislocations_3]
   order = CONSTANT
   family = MONOMIAL
  []
  [forest_dislocations_4]
   order = CONSTANT
   family = MONOMIAL
  []
  [forest_dislocations_8]
   order = CONSTANT
   family = MONOMIAL
  []
  [forest_dislocations_9]
   order = CONSTANT
   family = MONOMIAL
  []
  [forest_dislocations_13]
   order = CONSTANT
   family = MONOMIAL
  []
  [forest_dislocations_14]
   order = CONSTANT
   family = MONOMIAL
  []
  [substructure_density]
   order = CONSTANT
   family = MONOMIAL
  []
  [slip_resistance_0]
   order = CONSTANT
   family = MONOMIAL
  []
  [slip_resistance_3]
   order = CONSTANT
   family = MONOMIAL
  []
[]

[Physics/SolidMechanics/QuasiStatic/all]
  strain = FINITE
  incremental = true
  add_variables = true
[]

[AuxKernels]
  [pk2]
    type = RankTwoAux
    variable = pk2
    rank_two_tensor = second_piola_kirchhoff_stress
    index_j = 2
    index_i = 2
    execute_on = timestep_end
  []
  [e_zz]
    type = RankTwoAux
    variable = e_zz
    rank_two_tensor = total_lagrangian_strain
    index_j = 2
    index_i = 2
    execute_on = timestep_end
  []
  [tau_0]
    type = MaterialStdVectorAux
    variable = resolved_shear_stress_0
    property = applied_shear_stress
    index = 0
    execute_on = timestep_end
  []
  [tau_3]
    type = MaterialStdVectorAux
    variable = resolved_shear_stress_3
    property = applied_shear_stress
    index = 3
    execute_on = timestep_end
  []
  [tau_4]
    type = MaterialStdVectorAux
    variable = resolved_shear_stress_4
    property = applied_shear_stress
    index = 4
    execute_on = timestep_end
  []
  [tau_8]
    type = MaterialStdVectorAux
    variable = resolved_shear_stress_8
    property = applied_shear_stress
    index = 8
    execute_on = timestep_end
  []
  [tau_9]
    type = MaterialStdVectorAux
    variable = resolved_shear_stress_9
    property = applied_shear_stress
    index = 9
    execute_on = timestep_end
  []
  [tau_13]
    type = MaterialStdVectorAux
    variable = resolved_shear_stress_13
    property = applied_shear_stress
    index = 13
    execute_on = timestep_end
  []
  [tau_14]
    type = MaterialStdVectorAux
    variable = resolved_shear_stress_14
    property = applied_shear_stress
    index = 14
    execute_on = timestep_end
  []

  [forest_dislocations_0]
    type = MaterialStdVectorAux
    variable = forest_dislocations_0
    property = forest_dislocation_density
    index = 0
    execute_on = timestep_end
  []
  [forest_dislocations_3]
    type = MaterialStdVectorAux
    variable = forest_dislocations_3
    property = forest_dislocation_density
    index = 3
    execute_on = timestep_end
  []
  [forest_dislocations_4]
    type = MaterialStdVectorAux
    variable = forest_dislocations_4
    property = forest_dislocation_density
    index = 4
    execute_on = timestep_end
  []
  [forest_dislocations_8]
    type = MaterialStdVectorAux
    variable = forest_dislocations_8
    property = forest_dislocation_density
    index = 8
    execute_on = timestep_end
  []
  [forest_dislocations_9]
    type = MaterialStdVectorAux
    variable = forest_dislocations_9
    property = forest_dislocation_density
    index = 9
    execute_on = timestep_end
  []
  [forest_dislocations_13]
    type = MaterialStdVectorAux
    variable = forest_dislocations_13
    property = forest_dislocation_density
    index = 13
    execute_on = timestep_end
  []
  [forest_dislocations_14]
    type = MaterialStdVectorAux
    variable = forest_dislocations_14
    property = forest_dislocation_density
    index = 14
    execute_on = timestep_end
  []
  [substructure_density]
    type = MaterialRealAux
    variable = substructure_density
    property = total_substructure_density
    execute_on = timestep_end
  []
  [slip_resistance_0]
    type = MaterialStdVectorAux
    variable = slip_resistance_0
    property = slip_resistance
    index = 0
    execute_on = timestep_end
  []
  [slip_resistance_3]
    type = MaterialStdVectorAux
    variable = slip_resistance_3
    property = slip_resistance
    index = 3
    execute_on = timestep_end
  []
[]

[BCs]
  [fix_y]
    type = DirichletBC
    variable = disp_y
    preset = true
    boundary = 'center_point back_edge_y'
    value = 0
  []
  [fix_x]
    type = DirichletBC
    variable = disp_x
    boundary = 'center_point back_edge_x'
    value = 0
  []
  [fix_z]
    type = DirichletBC
    variable = disp_z
    boundary = 'back'
    value = 0
  []
  [tdisp]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = front
    function = '0.001*t'
  []
[]

[Materials]
  [elasticity_tensor]
    type = ComputeElasticityTensorCP
    C_ijkl = '1.622e5 9.18e4 6.88e4 1.622e5 6.88e4 1.805e5 4.67e4 4.67e4 4.67e4' #alpha Ti, Alankar et al. Acta Materialia 59 (2011) 7003-7009
    fill_method = symmetric9
    euler_angle_1 =  68
    euler_angle_2 =  14
    euler_angle_3 =  -53
  []
  [stress]
    type = ComputeMultipleCrystalPlasticityStress
    crystal_plasticity_models = 'trial_xtalpl'
    tan_mod_type = exact
  []
  [trial_xtalpl]
    type = CrystalPlasticityHCPDislocationSlipBeyerleinUpdate
    number_slip_systems = 15
    slip_sys_file_name = hcp_aprismatic_capyramidal_slip_sys.txt
    unit_cell_dimension = '2.934e-7 2.934e-7 4.657e-7' #Ti, in mm, https://materialsproject.org/materials/mp-46/
    temperature = temperature
    initial_forest_dislocation_density = 15.0e4
    initial_substructure_density = 5.0e2
    slip_system_modes = 2
    number_slip_systems_per_mode = '3 12'
    lattice_friction_per_mode = '1 1.5'
    effective_shear_modulus_per_mode = '4.7e4 4.7e4' #Ti, in MPa, https://materialsproject.org/materials/mp-46/
    burgers_vector_per_mode = '2.934e-7 6.586e-7' #Ti, in mm, https://materialsproject.org/materials/mp-46/
    slip_generation_coefficient_per_mode = '1e5 2e7'
    normalized_slip_activiation_energy_per_mode = '4e-3 3e-2'
    slip_energy_proportionality_factor_per_mode = '330 100'
    substructure_rate_coefficient_per_mode = '400 100'
    applied_strain_rate = 0.001
    gamma_o = 1.0e-3
    Hall_Petch_like_constant_per_mode = '0 0' #minimize impact
    grain_size = 20.0e-3 #20 microns
  []
[]

[Postprocessors]
  [pk2]
    type = ElementAverageValue
    variable = pk2
  []
  [e_zz]
    type = ElementAverageValue
    variable = e_zz
  []
  [tau_0]
    type = ElementAverageValue
    variable = resolved_shear_stress_0
  []
  [tau_3]
    type = ElementAverageValue
    variable = resolved_shear_stress_3
  []
  [tau_4]
    type = ElementAverageValue
    variable = resolved_shear_stress_4
  []
  [tau_8]
    type = ElementAverageValue
    variable = resolved_shear_stress_8
  []
  [tau_9]
    type = ElementAverageValue
    variable = resolved_shear_stress_9
  []
  [tau_13]
    type = ElementAverageValue
    variable = resolved_shear_stress_13
  []
  [tau_14]
    type = ElementAverageValue
    variable = resolved_shear_stress_14
  []
  [forest_dislocation_0]
    type = ElementAverageValue
    variable = forest_dislocations_0
  []
  [forest_dislocation_3]
    type = ElementAverageValue
    variable = forest_dislocations_3
  []
  [forest_dislocation_4]
    type = ElementAverageValue
    variable = forest_dislocations_4
  []
  [forest_dislocation_8]
    type = ElementAverageValue
    variable = forest_dislocations_8
  []
  [forest_dislocation_9]
    type = ElementAverageValue
    variable = forest_dislocations_9
  []
  [forest_dislocation_13]
    type = ElementAverageValue
    variable = forest_dislocations_13
  []
  [forest_dislocation_14]
    type = ElementAverageValue
    variable = forest_dislocations_14
  []
  [substructure_density]
    type = ElementAverageValue
    variable = substructure_density
  []

  [slip_resistance_0]
    type = ElementAverageValue
    variable = slip_resistance_0
  []
  [slip_resistance_3]
    type = ElementAverageValue
    variable = slip_resistance_3
  []
[]

[Preconditioning]
  [smp]
    type = SMP
    full = true
  []
[]

[Executioner]
  type = Transient
  solve_type = 'PJFNK'

  petsc_options_iname = '-pc_type -pc_asm_overlap -sub_pc_type -ksp_type -ksp_gmres_restart'
  petsc_options_value = ' asm      2              lu            gmres     200'
  nl_abs_tol = 1e-10
  nl_rel_tol = 1e-10
  nl_abs_step_tol = 1e-10

  dt = 0.015
  dtmin = 1.0e-4
  dtmax = 0.1
  end_time = 0.15
[]

[Outputs]
  csv = true
[]

(modules/contact/test/tests/3d-mortar-contact/frictional-mortar-3d-action.i)

starting_point = 0.25
offset = 0.00

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
  volumetric_locking_correction = true
[]

[Mesh]
  [top_block]
    type = GeneratedMeshGenerator
    dim = 3
    nx = 3
    ny = 3
    nz = 3
    xmin = -0.25
    xmax = 0.25
    ymin = -0.25
    ymax = 0.25
    zmin = -0.25
    zmax = 0.25
    elem_type = HEX8
  []
  [rotate_top_block]
    type = TransformGenerator
    input = top_block
    transform = ROTATE
    vector_value = '0 0 0'
  []
  [top_block_sidesets]
    type = RenameBoundaryGenerator
    input = rotate_top_block
    old_boundary = '0 1 2 3 4 5'
    new_boundary = 'top_bottom top_back top_right top_front top_left top_top'
  []
  [top_block_id]
    type = SubdomainIDGenerator
    input = top_block_sidesets
    subdomain_id = 1
  []
  [bottom_block]
    type = GeneratedMeshGenerator
    dim = 3
    nx = 10
    ny = 10
    nz = 2
    xmin = -.5
    xmax = .5
    ymin = -.5
    ymax = .5
    zmin = -.3
    zmax = -.25
    elem_type = HEX8
  []
  [bottom_block_id]
    type = SubdomainIDGenerator
    input = bottom_block
    subdomain_id = 2
  []
  [bottom_block_change_boundary_id]
    type = RenameBoundaryGenerator
    input = bottom_block_id
    old_boundary = '0 1 2 3 4 5'
    new_boundary = '100 101 102 103 104 105'
  []
  [combined]
    type = MeshCollectionGenerator
    inputs = 'top_block_id bottom_block_change_boundary_id'
  []
  [block_rename]
    type = RenameBlockGenerator
    input = combined
    old_block = '1 2'
    new_block = 'top_block bottom_block'
  []
  [bottom_right_sideset]
    type = SideSetsAroundSubdomainGenerator
    input = block_rename
    new_boundary = bottom_right
    block = bottom_block
    normal = '1 0 0'
  []
  [bottom_left_sideset]
    type = SideSetsAroundSubdomainGenerator
    input = bottom_right_sideset
    new_boundary = bottom_left
    block = bottom_block
    normal = '-1 0 0'
  []
  [bottom_top_sideset]
    type = SideSetsAroundSubdomainGenerator
    input = bottom_left_sideset
    new_boundary = bottom_top
    block = bottom_block
    normal = '0 0 1'
  []
  [bottom_bottom_sideset]
    type = SideSetsAroundSubdomainGenerator
    input = bottom_top_sideset
    new_boundary = bottom_bottom
    block = bottom_block
    normal = '0  0 -1'
  []
  [bottom_front_sideset]
    type = SideSetsAroundSubdomainGenerator
    input = bottom_bottom_sideset
    new_boundary = bottom_front
    block = bottom_block
    normal = '0 1 0'
  []
  [bottom_back_sideset]
    type = SideSetsAroundSubdomainGenerator
    input = bottom_front_sideset
    new_boundary = bottom_back
    block = bottom_block
    normal = '0 -1 0'
  []
  allow_renumbering = false
[]

[Physics/SolidMechanics/QuasiStatic]
  [all]
    add_variables = true
    strain = FINITE
    block = '1 2'
    use_automatic_differentiation = false
    generate_output = 'stress_xx stress_xy stress_xz stress_yy stress_zz'
  []
[]

[Materials]
  [tensor]
    type = ComputeIsotropicElasticityTensor
    block = '1'
    youngs_modulus = 1.0e4
    poissons_ratio = 0.0
  []
  [stress]
    type = ComputeFiniteStrainElasticStress
    block = '1'
  []

  [tensor_1000]
    type = ComputeIsotropicElasticityTensor
    block = '2'
    youngs_modulus = 1e5
    poissons_ratio = 0.0
  []
  [stress_1000]
    type = ComputeFiniteStrainElasticStress
    block = '2'
  []
[]

[Contact]
  [mortar]
    primary = 'bottom_top'
    secondary = 'top_bottom'
    formulation = mortar
    model = coulomb
    friction_coefficient = 0.4
    c_normal = 1e4
    c_tangential = 1.0e4
  []
[]

[BCs]
  [botx]
    type = DirichletBC
    variable = disp_x
    boundary = 'bottom_left bottom_right bottom_front bottom_back'
    value = 0.0
  []
  [boty]
    type = DirichletBC
    variable = disp_y
    boundary = 'bottom_left bottom_right bottom_front bottom_back'
    value = 0.0
  []
  [botz]
    type = DirichletBC
    variable = disp_z
    boundary = 'bottom_left bottom_right bottom_front bottom_back'
    value = 0.0
  []
  [topx]
    type = DirichletBC
    variable = disp_x
    boundary = 'top_top'
    value = 0.0
  []
  [topy]
    type = DirichletBC
    variable = disp_y
    boundary = 'top_top'
    value = 0.0
  []
  [topz]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'top_top'
    function = '-${starting_point} * sin(2 * pi / 40 * t) + ${offset}'
  []
[]

[Executioner]
  type = Transient
  end_time = .025
  dt = .025
  dtmin = .001
  solve_type = 'PJFNK'
  petsc_options = '-snes_converged_reason -ksp_converged_reason -snes_ksp_ew'
  petsc_options_iname = '-pc_type -pc_factor_mat_solver_type -pc_factor_shift_type -pc_factor_shift_amount -mat_mffd_err'
  petsc_options_value = 'lu       superlu_dist                  NONZERO               1e-14                  1e-5'
  l_max_its = 15
  nl_max_its = 30
  nl_rel_tol = 1e-11
  nl_abs_tol = 1e-12
  line_search = 'basic'
[]

[Debug]
  show_var_residual_norms = true
[]

[Outputs]
  exodus = true
  csv = true
[]

[Preconditioning]
  [smp]
    type = SMP
    full = true
  []
[]

[Postprocessors]
  active = 'num_nl cumulative contact'
  [num_nl]
    type = NumNonlinearIterations
  []
  [cumulative]
    type = CumulativeValuePostprocessor
    postprocessor = num_nl
  []
  [contact]
    type = ContactDOFSetSize
    variable = mortar_normal_lm
    subdomain = 'mortar_secondary_subdomain'
    execute_on = 'nonlinear timestep_end'
  []
[]

[VectorPostprocessors]
  [contact-pressure]
    type = NodalValueSampler
    block = mortar_secondary_subdomain
    variable = mortar_normal_lm
    sort_by = 'id'
    execute_on = NONLINEAR
  []
  [frictional-pressure]
    type = NodalValueSampler
    block = mortar_secondary_subdomain
    variable = mortar_tangential_lm
    sort_by = 'id'
    execute_on = NONLINEAR
  []
  [frictional-pressure-3d]
    type = NodalValueSampler
    block = mortar_secondary_subdomain
    variable = mortar_tangential_3d_lm
    sort_by = 'id'
    execute_on = NONLINEAR
  []
  [tangent_x]
    type = NodalValueSampler
    block = mortar_secondary_subdomain
    variable = mortar_tangent_x
    sort_by = 'id'
    execute_on = NONLINEAR
  []
  [tangent_y]
    type = NodalValueSampler
    block = mortar_secondary_subdomain
    variable = mortar_tangent_y
    sort_by = 'id'
    execute_on = NONLINEAR
  []
[]

(modules/solid_mechanics/test/tests/lagrangian/axisymmetric_cylindrical/total/action/action.i)

[GlobalParams]
  displacements = 'disp_r disp_z'
[]

[Mesh]
  [gmg]
    type = GeneratedMeshGenerator
    dim = 2
    nx = 2
    ny = 2
  []
[]

[Problem]
  coord_type = RZ
[]

[Physics]
  [SolidMechanics]
    [QuasiStatic]
      [all]
        formulation = TOTAL
        strain = FINITE
        add_variables = true
        new_system = true
        volumetric_locking_correction = true
      []
    []
  []
[]

[BCs]
  [bottom]
    type = DirichletBC
    preset = false
    variable = disp_z
    boundary = bottom
    value = 0.0
  []
  [top]
    type = FunctionDirichletBC
    preset = false
    variable = disp_z
    boundary = top
    function = 't'
  []
[]

[Materials]
  [elastic_tensor]
    type = ComputeIsotropicElasticityTensor
    youngs_modulus = 1000.0
    poissons_ratio = 0.25
  []
  [compute_stress]
    type = ComputeLagrangianLinearElasticStress
    large_kinematics = true
  []
[]

[Executioner]
  type = Transient

  solve_type = NEWTON

  petsc_options_iname = '-pc_type'
  petsc_options_value = 'lu'
  automatic_scaling = true

  nl_abs_tol = 1e-10
  nl_rel_tol = 1e-10

  dt = 0.1
  num_steps = 1
[]

[Outputs]
  exodus = true
[]

(test/tests/time_integrators/tvdrk2/1d-linear.i)

[Mesh]
  type = GeneratedMesh
  dim = 1
  xmin = -1
  xmax = 1
  nx = 20
  elem_type = EDGE2
[]

[Functions]
  [./ic]
    type = ParsedFunction
    expression = 0
  [../]

  [./forcing_fn]
    type = ParsedFunction
    expression = x
  [../]

  [./exact_fn]
    type = ParsedFunction
    expression = t*x
  [../]
[]

[Variables]
  [./u]
    order = FIRST
    family = LAGRANGE
  [../]
[]

[Kernels]
  [./ie]
    type = TimeDerivative
    variable = u
    implicit = true
  [../]

  [./diff]
    type = Diffusion
    variable = u
    implicit = false
  [../]

  [./ffn]
    type = BodyForce
    variable = u
    function = forcing_fn
    implicit = false
  [../]
[]

[ICs]
  [./u_ic]
    type = FunctionIC
    variable = u
    function = ic
  [../]
[]

[BCs]
  [./all]
    type = FunctionDirichletBC
    variable = u
    boundary = '0 1'
    function = exact_fn
  [../]
[]

[Postprocessors]
  [./l2_err]
    type = ElementL2Error
    variable = u
    function = exact_fn
  [../]
[]

[Executioner]
  type = Transient

  [./TimeIntegrator]
    type = ExplicitTVDRK2
  [../]
  solve_type = 'LINEAR'

  start_time = 0.0
  num_steps = 10
  dt = 0.001
  l_tol = 1e-15
[]

[Outputs]
  exodus = true
  perf_graph = true
[]

(modules/xfem/test/tests/moving_interface/moving_bimaterial_finite_strain.i)

# This test is for two layer materials with different youngs modulus with AD
# The global stress is determined by switching the stress based on level set values
# The material interface is marked by a level set function
# The two layer materials are glued together

[GlobalParams]
  displacements = 'disp_x disp_y'
[]

[XFEM]
  output_cut_plane = true
[]

[UserObjects]
  [level_set_cut_uo]
    type = LevelSetCutUserObject
    level_set_var = ls
    heal_always = true
  []
[]

[Mesh]
  use_displaced_mesh = true
  [generated_mesh]
    type = GeneratedMeshGenerator
    dim = 2
    nx = 10
    ny = 10
    xmin = 0
    xmax = 5
    ymin = 0
    ymax = 5
    elem_type = QUAD4
  []
  [left_bottom]
    type = ExtraNodesetGenerator
    new_boundary = 'left_bottom'
    coord = '0 0'
    input = generated_mesh
  []
  [left_top]
    type = ExtraNodesetGenerator
    new_boundary = 'left_top'
    coord = '0 5'
    input = left_bottom
  []
[]

[Functions]
  [ls_func]
    type = ParsedFunction
    expression = 'y-2.73+t'
  []
[]

[Variables]
  [disp_x]
  []
  [disp_y]
  []
[]

[AuxVariables]
  [ls]
  []
  [a_strain_xx]
    order = CONSTANT
    family = MONOMIAL
  []
  [a_strain_yy]
    order = CONSTANT
    family = MONOMIAL
  []
  [a_strain_xy]
    order = CONSTANT
    family = MONOMIAL
  []
  [b_strain_xx]
    order = CONSTANT
    family = MONOMIAL
  []
  [b_strain_yy]
    order = CONSTANT
    family = MONOMIAL
  []
  [b_strain_xy]
    order = CONSTANT
    family = MONOMIAL
  []
  [stress_xx]
    order = CONSTANT
    family = MONOMIAL
  []
  [stress_yy]
    order = CONSTANT
    family = MONOMIAL
  []
  [stress_xy]
    order = CONSTANT
    family = MONOMIAL
  []

[]

[AuxKernels]
  [ls_function]
    type = FunctionAux
    variable = ls
    function = ls_func
  []
  [a_strain_xx]
    type = RankTwoAux
    variable = a_strain_xx
    rank_two_tensor = A_total_strain
    index_i = 0
    index_j = 0
  []
  [a_strain_yy]
    type = RankTwoAux
    variable = a_strain_yy
    rank_two_tensor = A_total_strain
    index_i = 1
    index_j = 1
  []
  [a_strain_xy]
    type = RankTwoAux
    variable = a_strain_xy
    rank_two_tensor = A_total_strain
    index_i = 0
    index_j = 1
  []
  [b_strain_xx]
    type = RankTwoAux
    variable = b_strain_xx
    rank_two_tensor = B_total_strain
    index_i = 0
    index_j = 0
  []
  [b_strain_yy]
    type = RankTwoAux
    variable = b_strain_yy
    rank_two_tensor = B_total_strain
    index_i = 1
    index_j = 1
  []
  [b_strain_xy]
    type = RankTwoAux
    variable = b_strain_xy
    rank_two_tensor = B_total_strain
    index_i = 0
    index_j = 1
  []
  [stress_xx]
    type = RankTwoAux
    variable = stress_xx
    rank_two_tensor = stress
    index_i = 0
    index_j = 0
  []
  [stress_xy]
    type = RankTwoAux
    variable = stress_xy
    rank_two_tensor = stress
    index_i = 0
    index_j = 1
  []
  [stress_yy]
    type = RankTwoAux
    variable = stress_yy
    rank_two_tensor = stress
    index_i = 1
    index_j = 1
  []
[]

[Kernels]
  [solid_x]
    type = StressDivergenceTensors
    variable = disp_x
    component = 0
    use_displaced_mesh = true
  []
  [solid_y]
    type = StressDivergenceTensors
    variable = disp_y
    component = 1
    use_displaced_mesh = true
  []
[]

[Constraints]
  [dispx_constraint]
    type = XFEMSingleVariableConstraint
    use_displaced_mesh = false
    variable = disp_x
    alpha = 1e8
    geometric_cut_userobject = 'level_set_cut_uo'
  []
  [dispy_constraint]
    type = XFEMSingleVariableConstraint
    use_displaced_mesh = false
    variable = disp_y
    alpha = 1e8
    geometric_cut_userobject = 'level_set_cut_uo'
  []
[]

[BCs]
  [bottomx]
    type = DirichletBC
    boundary = bottom
    variable = disp_x
    value = 0.0
  []
  [bottomy]
    type = DirichletBC
    boundary = bottom
    variable = disp_y
    value = 0.0
  []
  [topx]
    type = FunctionDirichletBC
    boundary = top
    variable = disp_x
    function = 0.03*t
  []
  [topy]
    type = FunctionDirichletBC
    boundary = top
    variable = disp_y
    function = '0.03*t'
  []
[]

[Materials]
  [elasticity_tensor_A]
    type = ComputeIsotropicElasticityTensor
    base_name = A
    youngs_modulus = 1e9
    poissons_ratio = 0.3
  []
  [strain_A]
    type = ComputeFiniteStrain
    base_name = A
  []
  [stress_A]
    type = ComputeFiniteStrainElasticStress
    base_name = A
  []
  [elasticity_tensor_B]
    type = ComputeIsotropicElasticityTensor
    base_name = B
    youngs_modulus = 1e7
    poissons_ratio = 0.3
  []
  [strain_B]
    type = ComputeFiniteStrain
    base_name = B
  []
  [stress_B]
    type = ComputeFiniteStrainElasticStress
    base_name = B
  []
  [combined_stress]
    type = LevelSetBiMaterialRankTwo
    levelset_positive_base = 'A'
    levelset_negative_base = 'B'
    level_set_var = ls
    prop_name = stress
  []
  [combined_jacob_mult]
    type = LevelSetBiMaterialRankFour
    levelset_positive_base = 'A'
    levelset_negative_base = 'B'
    level_set_var = ls
    prop_name = Jacobian_mult
  []
[]

[Postprocessors]
  [disp_x_norm]
    type = ElementL2Norm
    variable = disp_x
  []
  [disp_y_norm]
    type = ElementL2Norm
    variable = disp_y
  []
[]

[Executioner]
  type = Transient

  solve_type = NEWTON
  petsc_options_iname = '-pc_type'
  petsc_options_value = 'lu'
  automatic_scaling = true

  # controls for nonlinear iterations
  nl_max_its = 15
  nl_rel_tol = 1e-13
  nl_abs_tol = 1e-50

  # time control
  start_time = 0.0
  dt = 0.1
  num_steps = 4

  max_xfem_update = 1
[]

[Outputs]
  print_linear_residuals = false
  exodus = true
[]

(modules/contact/test/tests/tension_release/8ElemTensionRelease.i)

[Mesh]
  file = 8ElemTensionRelease.e
  partitioner = centroid
  centroid_partitioner_direction = x
[]

[GlobalParams]
  volumetric_locking_correction = false
  displacements = 'disp_x disp_y'
[]

[Functions]
  [./up]
    type = PiecewiseLinear
    x = '0 1      2 3'
    y = '0 0.0001 0 -.0001'
  [../]
[]

[AuxVariables]
  [./status]
  [../]
  [./pid]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]

[Physics/SolidMechanics/QuasiStatic]
  [./all]
    add_variables = true
    strain = FINITE
  []
[]

[Contact]
  [./dummy_name]
    primary = 2
    secondary = 3
    penalty = 1e6
    model = frictionless
    tangential_tolerance = 0.01
  [../]
[]

[AuxKernels]
  [./pid]
    type = ProcessorIDAux
    variable = pid
    execute_on = 'initial timestep_end'
  [../]
  [./status]
    type = PenetrationAux
    quantity = mechanical_status
    variable = status
    boundary = 3
    paired_boundary = 2
    execute_on = timestep_end
  [../]
[]

[BCs]
  [./lateral]
    type = DirichletBC
    variable = disp_x
    boundary = '1 4'
    value = 0
  [../]

  [./bottom_up]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 1
    function = up
  [../]

  [./top]
    type = DirichletBC
    variable = disp_y
    boundary = 4
    value = 0.0
  [../]
[]

[Materials]
  [./stiffStuff1]
    type = ComputeIsotropicElasticityTensor
    block = '1 2'
    youngs_modulus = 1.0e6
    poissons_ratio = 0.3
  [../]
  [./stiffStuff1_stress]
    type = ComputeFiniteStrainElasticStress
    block = '1 2'
  [../]
[]

[Executioner]
  type = Transient
  solve_type = 'PJFNK'
  petsc_options_iname = '-pc_type -pc_hypre_type -ksp_gmres_restart'
  petsc_options_value = 'hypre    boomeramg      101'

  line_search = 'none'
  nl_rel_tol = 1e-8
  nl_abs_tol = 1e-9
  l_tol = 1e-4

  l_max_its = 100
  nl_max_its = 10
  dt = 0.1
  num_steps = 30

  [./Predictor]
    type = SimplePredictor
    scale = 1.0
  [../]
[]

[Outputs]
  exodus = true
[]

(test/tests/outputs/debug/show_var_residual_norms_debug.i)

[Mesh]
  type = GeneratedMesh
  dim = 2
  xmin = -1
  xmax = 1
  ymin = -1
  ymax = 1
  nx = 10
  ny = 10
  elem_type = QUAD9
[]

[Functions]
  [forcing_fnu]
    type = ParsedFunction
    expression = -5.8*(x+y)+x*x*x-x+y*y*y-y
  []
  [forcing_fnv]
    type = ParsedFunction
    expression = -4
  []

  [slnu]
    type = ParsedGradFunction
    expression = x*x*x-x+y*y*y-y
    grad_x = 3*x*x-1
    grad_y = 3*y*y-1
  []
  [slnv]
    type = ParsedGradFunction
    expression = x*x+y*y
    grad_x = 2*x
    grad_y = 2*y
  []

  #NeumannBC functions
  [bc_fnut]
    type = ParsedFunction
    expression = 3*y*y-1
  []
  [bc_fnub]
    type = ParsedFunction
    expression = -3*y*y+1
  []
  [bc_fnul]
    type = ParsedFunction
    expression = -3*x*x+1
  []
  [bc_fnur]
    type = ParsedFunction
    expression = 3*x*x-1
  []
[]

[Variables]
  [u]
    order = THIRD
    family = HIERARCHIC
  []
  [v]
    order = SECOND
    family = LAGRANGE
  []
[]

[Kernels]
  active = 'diff1 diff2 test1 forceu forcev react'
  [diff1]
    type = Diffusion
    variable = u
  []
  [test1]
    type = CoupledConvection
    variable = u
    velocity_vector = v
  []
  [diff2]
    type = Diffusion
    variable = v
  []
  [react]
    type = Reaction
    variable = u
  []

  [forceu]
    type = BodyForce
    variable = u
    function = forcing_fnu
  []
  [forcev]
    type = BodyForce
    variable = v
    function = forcing_fnv
  []

[]

[BCs]
  active = 'bc_u_tb bc_v bc_ul bc_ur bc_ut bc_ub'
  [bc_u]
    type = FunctionPenaltyDirichletBC
    variable = u
    function = slnu
    boundary = 'left right top bottom'
    penalty = 1e6
  []
  [bc_v]
    type = FunctionDirichletBC
    variable = v
    function = slnv
    boundary = 'left right top bottom'
  []

  [bc_u_lr]
    type = FunctionPenaltyDirichletBC
    variable = u
    function = slnu
    boundary = 'left right top bottom'
    penalty = 1e6
  []
  [bc_u_tb]
    type = CoupledKernelGradBC
    variable = u
    var2 = v
    vel = '0.1 0.1'
    boundary = 'top bottom left right'
  []

  [bc_ul]
    type = FunctionNeumannBC
    variable = u
    function = bc_fnul
    boundary = 'left'
  []
  [bc_ur]
    type = FunctionNeumannBC
    variable = u
    function = bc_fnur
    boundary = 'right'
  []
  [bc_ut]
    type = FunctionNeumannBC
    variable = u
    function = bc_fnut
    boundary = 'top'
  []
  [bc_ub]
    type = FunctionNeumannBC
    variable = u
    function = bc_fnub
    boundary = 'bottom'
  []
[]

[Preconditioning]
  active = ' '
  [prec]
    type = SMP
    full = true
  []
[]

[Postprocessors]
  active = 'L2u L2v'
  [dofs]
    type = NumDOFs
  []

  [h]
    type = AverageElementSize
  []

  [L2u]
    type = ElementL2Error
    variable = u
    function = slnu
  []
  [L2v]
    type = ElementL2Error
    variable = v
    function = slnv
  []
  [H1error]
    type = ElementH1Error
    variable = u
    function = solution
  []
  [H1Semierror]
    type = ElementH1SemiError
    variable = u
    function = solution
  []
[]

[Executioner]
  type = Steady
  solve_type = 'PJFNK'
  nl_rel_tol = 1e-15
  nl_abs_tol = 1e-13
[]

[Outputs]
  execute_on = 'timestep_end'
[]

[Debug]
  show_var_residual_norms = true
[]

(test/tests/preconditioners/pbp/pbp_adapt_test.i)

[Mesh]
  type = GeneratedMesh
  dim = 2
  xmin = -1
  xmax = 1
  ymin = -1
  ymax = 1
  nx = 2
  ny = 2
  elem_type = QUAD4
[]

[Variables]
  active = 'u v'

  [./u]
    order = FIRST
    family = LAGRANGE
  [../]

  [./v]
    order = FIRST
    family = LAGRANGE
  [../]
[]

[Functions]
  [./forcing_fn]
    type = ParsedFunction
    expression = -4
  [../]

  [./exact_fn]
    type = ParsedFunction
    expression = ((x*x)+(y*y))
  [../]
[]

[Kernels]
  [./diff]
    type = Diffusion
    variable = u
  [../]

  [./ffn]
    type = BodyForce
    variable = u
    function = forcing_fn
  [../]

  [./conv_v]
    type = CoupledForce
    variable = v
    v = u
  [../]

  [./diff_v]
    type = Diffusion
    variable = v
  [../]
[]

[BCs]
  [./all]
    type = FunctionDirichletBC
    variable = u
    boundary = '0 1 2 3'
    function = exact_fn
  [../]

  [./left_v]
    type = DirichletBC
    variable = v
    boundary = 1
    value = 0
  [../]

  [./right_v]
    type = DirichletBC
    variable = v
    boundary = 2
    value = 0
  [../]
[]

[Postprocessors]
  [./l2_err]
    type = ElementL2Error
    variable = u
    function = exact_fn
  [../]
[]

[Preconditioning]
  [./PBP]
    type = PBP
    solve_order = 'u v'
    preconditioner  = 'AMG ASM'
    off_diag_row    = 'v'
    off_diag_column = 'u'
  [../]
[]

[Executioner]
  type = Steady

  solve_type = JFNK

  [./Adaptivity]
    steps = 3
    coarsen_fraction = 0.1
    refine_fraction = 0.2
    max_h_level = 5
  [../]
[]

[Outputs]
  execute_on = 'timestep_end'
  file_base = out_pbp_adapt
  print_mesh_changed_info = true
  exodus = true
[]

(modules/solid_mechanics/test/tests/capped_weak_plane/small_deform_inclined3.i)

# Plastic deformation, tensile failure, inclined normal = (0, 1, 0)
# With Young = 10, poisson=0.25 (Lame lambda=4, mu=4)
# applying the following
# deformation to the ymax surface of a unit cube:
# disp_x = 4*t
# disp_y = t
# disp_z = 3*t
# should yield trial stress:
# stress_yy = 12*t
# stress_yx = 16*t
# stress_yz = 12*t
# Use tensile strength = 6, we should return to stress_yy = 6,
# and stress_xx = stress_zz = 2*t up to t=1 when the system is completely
# plastic, so these stress components will not change
[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]


[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]

[Physics/SolidMechanics/QuasiStatic]
  [./all]
    add_variables = true
    incremental = true
    generate_output = 'stress_xx stress_xy stress_xz stress_yy stress_yz stress_zz plastic_strain_xx plastic_strain_xy plastic_strain_xz plastic_strain_yy plastic_strain_yz plastic_strain_zz strain_xx strain_xy strain_xz strain_yy strain_yz strain_zz'
  [../]
[]

[BCs]
  [./bottomx]
    type = DirichletBC
    variable = disp_x
    boundary = bottom
    value = 0.0
  [../]
  [./bottomy]
    type = DirichletBC
    variable = disp_y
    boundary = bottom
    value = 0.0
  [../]
  [./bottomz]
    type = DirichletBC
    variable = disp_z
    boundary = bottom
    value = 0.0
  [../]

  [./topx]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = top
    function = 4*t
  [../]
  [./topy]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = top
    function = t
  [../]
  [./topz]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = top
    function = 3*t
  [../]
[]

[AuxVariables]
  [./f_shear]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f_tensile]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f_compressive]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./intnl_shear]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./intnl_tensile]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./iter]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./ls]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]

[AuxKernels]
  [./f_shear]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 0
    variable = f_shear
  [../]
  [./f_tensile]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 1
    variable = f_tensile
  [../]
  [./f_compressive]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 2
    variable = f_compressive
  [../]
  [./intnl_shear]
    type = MaterialStdVectorAux
    property = plastic_internal_parameter
    index = 0
    variable = intnl_shear
  [../]
  [./intnl_tensile]
    type = MaterialStdVectorAux
    property = plastic_internal_parameter
    index = 1
    variable = intnl_tensile
  [../]
  [./iter]
    type = MaterialRealAux
    property = plastic_NR_iterations
    variable = iter
  [../]
  [./ls]
    type = MaterialRealAux
    property = plastic_linesearch_needed
    variable = ls
  [../]
[]

[Postprocessors]
  [./stress_xx]
    type = PointValue
    point = '0 0 0'
    variable = stress_xx
  [../]
  [./stress_xy]
    type = PointValue
    point = '0 0 0'
    variable = stress_xy
  [../]
  [./stress_xz]
    type = PointValue
    point = '0 0 0'
    variable = stress_xz
  [../]
  [./stress_yy]
    type = PointValue
    point = '0 0 0'
    variable = stress_yy
  [../]
  [./stress_yz]
    type = PointValue
    point = '0 0 0'
    variable = stress_yz
  [../]
  [./stress_zz]
    type = PointValue
    point = '0 0 0'
    variable = stress_zz
  [../]
  [./strainp_xx]
    type = PointValue
    point = '0 0 0'
    variable = plastic_strain_xx
  [../]
  [./strainp_xy]
    type = PointValue
    point = '0 0 0'
    variable = plastic_strain_xy
  [../]
  [./strainp_xz]
    type = PointValue
    point = '0 0 0'
    variable = plastic_strain_xz
  [../]
  [./strainp_yy]
    type = PointValue
    point = '0 0 0'
    variable = plastic_strain_yy
  [../]
  [./strainp_yz]
    type = PointValue
    point = '0 0 0'
    variable = plastic_strain_yz
  [../]
  [./strainp_zz]
    type = PointValue
    point = '0 0 0'
    variable = plastic_strain_zz
  [../]
  [./straint_xx]
    type = PointValue
    point = '0 0 0'
    variable = strain_xx
  [../]
  [./straint_xy]
    type = PointValue
    point = '0 0 0'
    variable = strain_xy
  [../]
  [./straint_xz]
    type = PointValue
    point = '0 0 0'
    variable = strain_xz
  [../]
  [./straint_yy]
    type = PointValue
    point = '0 0 0'
    variable = strain_yy
  [../]
  [./straint_yz]
    type = PointValue
    point = '0 0 0'
    variable = strain_yz
  [../]
  [./straint_zz]
    type = PointValue
    point = '0 0 0'
    variable = strain_zz
  [../]
  [./f_shear]
    type = PointValue
    point = '0 0 0'
    variable = f_shear
  [../]
  [./f_tensile]
    type = PointValue
    point = '0 0 0'
    variable = f_tensile
  [../]
  [./f_compressive]
    type = PointValue
    point = '0 0 0'
    variable = f_compressive
  [../]
  [./intnl_shear]
    type = PointValue
    point = '0 0 0'
    variable = intnl_shear
  [../]
  [./intnl_tensile]
    type = PointValue
    point = '0 0 0'
    variable = intnl_tensile
  [../]
  [./iter]
    type = PointValue
    point = '0 0 0'
    variable = iter
  [../]
  [./ls]
    type = PointValue
    point = '0 0 0'
    variable = ls
  [../]
[]


[UserObjects]
  [./coh]
    type = SolidMechanicsHardeningConstant
    value = 80
  [../]
  [./tanphi]
    type = SolidMechanicsHardeningConstant
    value = 0.5
  [../]
  [./tanpsi]
    type = SolidMechanicsHardeningConstant
    value = 0.1111077
  [../]
  [./t_strength]
    type = SolidMechanicsHardeningConstant
    value = 6
  [../]
  [./c_strength]
    type = SolidMechanicsHardeningConstant
    value = 40
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    fill_method = symmetric_isotropic
    C_ijkl = '4 4'
  [../]
  [./admissible]
    type = ComputeMultipleInelasticStress
    inelastic_models = stress
    perform_finite_strain_rotations = false
  [../]
  [./stress]
    type = CappedWeakInclinedPlaneStressUpdate
    normal_vector = '0 1 0'
    cohesion = coh
    tan_friction_angle = tanphi
    tan_dilation_angle = tanpsi
    tensile_strength = t_strength
    compressive_strength = c_strength
    tip_smoother = 0
    smoothing_tol = 0
    yield_function_tol = 1E-5
  [../]
[]

[Executioner]
  end_time = 2
  dt = 1
  type = Transient
[]

[Outputs]
  file_base = small_deform_inclined3
  csv = true
[]

(modules/solid_mechanics/test/tests/capped_drucker_prager/small_deform2_lode_zero.i)

# apply repeated stretches in x, y and z directions, so that mean_stress = 0
# This maps out the yield surface in the octahedral plane for zero mean stress

[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]


[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]

[Physics/SolidMechanics/QuasiStatic]
  [./all]
    add_variables = true
    incremental = true
    generate_output = 'stress_xx stress_xy stress_xz stress_yy stress_yz stress_zz'
  [../]
[]

[BCs]
  [./x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'front back'
    function = '-1.5E-6*x+2E-6*x*sin(t)'
  [../]
  [./y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'front back'
    function = '2E-6*y*sin(2*t)'
  [../]
  [./z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'front back'
    function = '-2E-6*z*(sin(t)+sin(2*t))'
  [../]
[]

[AuxVariables]
  [./yield_fcn]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]

[AuxKernels]
  [./yield_fcn_auxk]
    type = MaterialStdVectorAux
    index = 0
    property = plastic_yield_function
    variable = yield_fcn
  [../]
[]

[Postprocessors]
  [./s_xx]
    type = PointValue
    point = '0 0 0'
    variable = stress_xx
  [../]
  [./s_xy]
    type = PointValue
    point = '0 0 0'
    variable = stress_xy
  [../]
  [./s_xz]
    type = PointValue
    point = '0 0 0'
    variable = stress_xz
  [../]
  [./s_yy]
    type = PointValue
    point = '0 0 0'
    variable = stress_yy
  [../]
  [./s_yz]
    type = PointValue
    point = '0 0 0'
    variable = stress_yz
  [../]
  [./s_zz]
    type = PointValue
    point = '0 0 0'
    variable = stress_zz
  [../]
  [./f]
    type = PointValue
    point = '0 0 0'
    variable = yield_fcn
  [../]
  [./f0]
    type = PointValue
    point = '0 0 0'
    variable = yield_fcn
  [../]
  [./f1]
    type = PointValue
    point = '0 0 0'
    variable = yield_fcn
  [../]
[]

[UserObjects]
  [./ts]
    type = SolidMechanicsHardeningConstant
    value = 1000
  [../]
  [./cs]
    type = SolidMechanicsHardeningConstant
    value = 1000
  [../]
  [./mc_coh]
    type = SolidMechanicsHardeningConstant
    value = 10
  [../]
  [./mc_phi]
    type = SolidMechanicsHardeningConstant
    value = 20
    convert_to_radians = true
  [../]
  [./mc_psi]
    type = SolidMechanicsHardeningConstant
    value = 0
  [../]
  [./dp]
    type = SolidMechanicsPlasticDruckerPrager
    mc_cohesion = mc_coh
    mc_friction_angle = mc_phi
    mc_dilation_angle = mc_psi
    mc_interpolation_scheme = lode_zero
    internal_constraint_tolerance = 1 # irrelevant here
    yield_function_tolerance = 1      # irrelevant here
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeIsotropicElasticityTensor
    block = 0
    lambda = 0.0
    shear_modulus = 1.0e7
  [../]
  [./admissible]
    type = ComputeMultipleInelasticStress
    inelastic_models = cdp
    perform_finite_strain_rotations = false
  [../]
  [./cdp]
    type = CappedDruckerPragerStressUpdate
    DP_model = dp
    tensile_strength = ts
    compressive_strength = cs
    yield_function_tol = 1E-8
    tip_smoother = 4
    smoothing_tol = 1E-5
  [../]
[]


[Executioner]
  end_time = 100
  dt = 1
  type = Transient
[]


[Outputs]
  file_base = small_deform2_lode_zero
  exodus = false
  [./csv]
    type = CSV
  [../]
[]

(modules/navier_stokes/test/tests/finite_element/ins/RZ_cone/unstabilized-velocity-component-objects.i)

[Mesh]
  file = '2d_cone.msh'
  coord_type = RZ
[]

[Variables]
  [vel_x]
    order = SECOND
  []
  [vel_y]
    order = SECOND
  []
  [p][]
[]

[Kernels]
  [momentum_x_time]
    type = TimeDerivative
    variable = vel_x
  []
  [momentum_x_convection]
    type = ADAdvection
    variable = vel_x
    velocity = 'velocity'
  []
  [momentum_x_diffusion]
    type = MatDiffusion
    variable = vel_x
    diffusivity = 1
  []
  [momentum_x_diffusion_rz]
    type = ADMomentumViscousRZ
    variable = vel_x
    mu_name = 1
    component = 0
  []
  [momentum_x_pressure]
    type = PressureGradient
    integrate_p_by_parts = true
    variable = vel_x
    pressure = p
    component = 0
  []
  [momentum_y_time]
    type = TimeDerivative
    variable = vel_y
  []
  [momentum_y_convection]
    type = ADAdvection
    variable = vel_y
    velocity = 'velocity'
  []
  [momentum_y_diffusion]
    type = MatDiffusion
    variable = vel_y
    diffusivity = 1
  []
  [momentum_y_diffusion_rz]
    type = ADMomentumViscousRZ
    variable = vel_y
    mu_name = 1
    component = 1
  []
  [momentum_y_pressure]
    type = PressureGradient
    integrate_p_by_parts = true
    variable = vel_y
    pressure = p
    component = 1
  []
  [mass]
    type = ADMassAdvection
    variable = p
    vel_x = vel_x
    vel_y = vel_y
  []
[]

[BCs]
  [u_in]
    type = DirichletBC
    boundary = bottom
    variable = vel_x
    value = 0
  []
  [v_in]
    type = FunctionDirichletBC
    boundary = bottom
    variable = vel_y
    function = 'inlet_func'
  []
  [u_axis_and_walls]
    type = DirichletBC
    boundary = 'left right'
    variable = vel_x
    value = 0
  []
  [v_no_slip]
    type = DirichletBC
    boundary = 'right'
    variable = vel_y
    value = 0
  []
[]

[Materials]
  [vel]
    type = ADVectorFromComponentVariablesMaterial
    vector_prop_name = 'velocity'
    u = vel_x
    v = vel_y
  []
[]

[Functions]
  [inlet_func]
    type = ParsedFunction
    expression = '-4 * x^2 + 1'
  []
[]

[Executioner]
  type = Transient
  dt = 0.005
  dtmin = 0.005
  num_steps = 5
  l_max_its = 100

  petsc_options_iname = '-pc_type -sub_pc_type -sub_pc_factor_levels'
  petsc_options_value = 'bjacobi  ilu          4'

  nl_rel_tol = 1e-12
  nl_max_its = 6
[]

[Outputs]
  exodus = true
[]

(test/tests/time_steppers/iteration_adaptive/multi_piecewise_linear.i)

[Mesh]
  type = GeneratedMesh
  dim = 2
  nx = 50
  ny = 2
  xmax = 5
[]

[Variables]
  [./u]
    order = FIRST
    family = LAGRANGE
  [../]
[]

[Functions]
  [./temp_spike1]
    type = PiecewiseLinear
    x = '1 3 5'
    y = '1 4 4'
  [../]
  [./temp_spike2]
    type = PiecewiseLinear
    x = '0 2 4'
    y = '1 1 2'
  [../]

  [temp_spike]
    type = ParsedFunction
    expression = 'temp_spike1 + temp_spike2'
    symbol_names = 'temp_spike1 temp_spike2'
    symbol_values = 'temp_spike1 temp_spike2'
  []
[]

[Kernels]
  [./diff]
    type = Diffusion
    variable = u
  [../]
  [./dt]
    type = TimeDerivative
    variable = u
  [../]
[]

[BCs]
  [./left]
    type = FunctionDirichletBC
    variable = u
    boundary = left
    function = temp_spike
  [../]
  [./right]
    type = NeumannBC
    variable = u
    boundary = right
    value = -1
  [../]
[]

[Executioner]
  type = Transient
  solve_type = NEWTON
  start_time = 0
  end_time = 5
  verbose = true
  [./TimeStepper]
    type = IterationAdaptiveDT
    dt = 10
    optimal_iterations = 10
    timestep_limiting_function = 'temp_spike1 temp_spike2'
  [../]
[]

[Postprocessors]
  [./dt]
    type = TimestepSize
  [../]
[]

[Outputs]
  csv = true
[]

(modules/solid_mechanics/test/tests/1D_axisymmetric/axisymmetric_gps_incremental.i)

#
# This test checks the generalized plane strain using incremental small strain formulation.
# The model consists of two sets of line elements. One undergoes a temperature rise of 100 with
# the other seeing a temperature rise of 300.  Young's modulus is 3600, and
# Poisson's ratio is 0.2.  The thermal expansion coefficient is 1e-8.  All
# nodes are constrained against movement.
#
# For plane strain case, i.e., without constraining the strain_yy to be uniform,
# the stress solution would be [-6e-3, -6e-3, -6e-3] and [-18e-3, -18e-3, -18e-3] (xx, yy, zz).
# The generalized plane strain kernels work to balance the force in y direction.
#
# With out of plane strain of 3e-6, the stress solution becomes
# [-3e-3, 6e-3, -3e-3] and [-15e-3, -6e-3, -15e-3] (xx, yy, zz).  This gives
# a domain integral of out-of-plane stress to be zero.
#

[GlobalParams]
  displacements = disp_x
  scalar_out_of_plane_strain = scalar_strain_yy
[]

[Problem]
  coord_type = RZ
[]

[Mesh]
  file = lines.e
[]

[Variables]
  [disp_x]
  []
  [temp]
    initial_condition = 580.0
  []
  [scalar_strain_yy]
    order = FIRST
    family = SCALAR
  []
[]

[Functions]
  [temp100]
    type = PiecewiseLinear
    x = '0   1'
    y = '580 680'
  []
  [temp300]
    type = PiecewiseLinear
    x = '0   1'
    y = '580 880'
  []
[]

[Kernels]
  [heat]
    type = Diffusion
    variable = temp
  []
[]

[Physics/SolidMechanics/QuasiStatic]
  [gps]
    planar_formulation = GENERALIZED_PLANE_STRAIN
    scalar_out_of_plane_strain = scalar_strain_yy
    strain = SMALL
    incremental = true
    generate_output = 'strain_xx strain_yy strain_zz stress_xx stress_yy stress_zz'
    eigenstrain_names = eigenstrain
    temperature = temp
  []
[]

[BCs]
  [no_x]
    type = DirichletBC
    boundary = 1000
    value = 0
    variable = disp_x
  []
  [temp100]
    type = FunctionDirichletBC
    variable = temp
    function = temp100
    boundary = 2
  []
  [temp300]
    type = FunctionDirichletBC
    variable = temp
    function = temp300
    boundary = 3
  []
[]

[Materials]
  [elasticity_tensor]
    type = ComputeIsotropicElasticityTensor
    youngs_modulus = 3600
    poissons_ratio = 0.2
  []

  [thermal_strain]
    type = ComputeThermalExpansionEigenstrain
    thermal_expansion_coeff = 1e-8
    temperature = temp
    stress_free_temperature = 580
    eigenstrain_name = eigenstrain
  []

  [stress]
    type = ComputeStrainIncrementBasedStress
  []
[]

[Executioner]
  type = Transient
  solve_type = 'PJFNK'
  line_search = 'none'

  l_max_its = 50
  l_tol = 1e-6
  nl_max_its = 15
  nl_abs_tol = 1e-10
  start_time = 0
  end_time = 1
  num_steps = 1
[]

[Outputs]
  exodus = true
  console = true
[]

(test/tests/postprocessors/volume/sphere1D.i)

# The volume of each block should be 3

[Mesh]
  file = sphere1D.e
  coord_type = RSPHERICAL
[]

[Functions]
  [fred]
    type = ParsedFunction
    expression = '200'
  []
[]

[AuxVariables]
  [constantVar]
    order = FIRST
    family = LAGRANGE
  []
[]

[Variables]
  [u]
    order = FIRST
    family = LAGRANGE
    initial_condition = 100
  []
[]

[AuxKernels]
  [fred]
    type = ConstantAux
    variable = constantVar
    block = 1
    value = 1
  []
[]

[ICs]
  [ic1]
    type = ConstantIC
    variable = constantVar
    value = 1
    block = 1
  []
[]

[Kernels]
  [heat_r]
    type = Diffusion
    variable = u
  []
[]

[BCs]
  [temps]
    type = FunctionDirichletBC
    variable = u
    boundary = 1
    function = fred
  []
[]

[Materials]
[]

[Executioner]
  type = Steady
  solve_type = 'PJFNK'
  petsc_options_iname = '-pc_type -snes_ls -ksp_gmres_restart'
  petsc_options_value = 'lu       basic                 101'
  line_search = 'none'
  nl_abs_tol = 1e-11
  nl_rel_tol = 1e-10
  l_max_its = 20
[]

[Postprocessors]
  [should_be_one]
    type = ElementAverageValue
    block = 1
    variable = constantVar
    execute_on = 'initial timestep_end'
  []
  [volume1]
    type = VolumePostprocessor
    block = 1
    execute_on = 'initial timestep_end'
  []
  [volume2]
    type = VolumePostprocessor
    block = 2
    execute_on = 'initial timestep_end'
  []
  [volume3]
    type = VolumePostprocessor
    block = 3
    execute_on = 'initial timestep_end'
  []
[]

[Outputs]
  exodus = true
[]

(modules/contact/test/tests/simple_contact/two_block_compress/two_equal_blocks_compress_3d.i)

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
  volumetric_locking_correction = true
[]

[Mesh]
  [left_block]
    type = GeneratedMeshGenerator
    dim = 3
    nx = 1
    ny = 1
    nz = 1
    xmin = -1.0
    xmax = 0.0
    ymin = -0.5
    ymax = 0.5
    zmin = -0.5
    zmax = 0.5
    elem_type = HEX8
  []
  [left_block_sidesets]
    type = RenameBoundaryGenerator
    input = left_block
    old_boundary = '0 1 2 3 4 5'
    new_boundary = 'left_bottom left_back left_right left_front left_left left_top'
  []
  [left_block_id]
    type = SubdomainIDGenerator
    input = left_block_sidesets
    subdomain_id = 1
  []

  [right_block]
    type = GeneratedMeshGenerator
    dim = 3
    nx = 2
    ny = 2
    nz = 2
    xmin = 0.0
    xmax = 1.0
    ymin = -0.5
    ymax = 0.5
    zmin = -0.5
    zmax = 0.5
    elem_type = HEX8
  []
  [right_block_sidesets]
    type = RenameBoundaryGenerator
    input = right_block
    old_boundary = '0 1 2 3 4 5'
    # new_boundary = 'right_bottom right_back right_right right_front right_left right_top'
    new_boundary = '100 101 102 103 104 105'
  []
  [right_block_sidesets_rename]
    type = RenameBoundaryGenerator
    input = right_block_sidesets
    old_boundary = '100 101 102 103 104 105'
    new_boundary = 'right_bottom right_back right_right right_front right_left right_top'
  []
  [right_block_id]
    type = SubdomainIDGenerator
    input = right_block_sidesets_rename
    subdomain_id = 2
  []

  [combined_mesh]
    type = MeshCollectionGenerator
    inputs = 'left_block_id right_block_id'
  []

  [left_lower]
    type = LowerDBlockFromSidesetGenerator
    input = combined_mesh
    sidesets = 'left_right'
    new_block_id = '10001'
    new_block_name = 'secondary_lower'
  []
  [right_lower]
    type = LowerDBlockFromSidesetGenerator
    input = left_lower
    sidesets = 'right_left'
    new_block_id = '10000'
    new_block_name = 'primary_lower'
  []
[]

[Variables]
  [normal_lm]
    block = 'secondary_lower'
    use_dual = true
  []
[]

[Physics/SolidMechanics/QuasiStatic]
  [all]
    strain = FINITE
    incremental = true
    add_variables = true
    block = '1 2'
  []
[]

[Functions]
  [horizontal_movement]
    type = PiecewiseLinear
    x = '0 0.5'
    y = '0 0.2'
  []
  [vertical_movement]
    type = PiecewiseLinear
    x = '0 1.0'
    y = '0 0'
  []
[]

[BCs]
  [push_left_x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'left_left'
    function = horizontal_movement
  []
  [push_left_y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'left_left'
    function = vertical_movement
  []
  [fix_left_z]
    type = DirichletBC
    variable = disp_z
    boundary = 'left_left'
    value = 0.0
  []
  [fix_right_x]
    type = DirichletBC
    variable = disp_x
    boundary = 'right_right'
    value = 0.0
  []
  [fix_right_y]
    type = DirichletBC
    variable = disp_y
    boundary = 'right_right'
    value = 0.0
  []
  [fix_right_z]
    type = DirichletBC
    variable = disp_z
    boundary = 'right_right'
    value = 0.0
  []
[]

[Materials]
  [elasticity_tensor_left]
    type = ComputeIsotropicElasticityTensor
    block = 1
    youngs_modulus = 1.0e6
    poissons_ratio = 0.3
  []
  [stress_left]
    type = ComputeFiniteStrainElasticStress
    block = 1
  []

  [elasticity_tensor_right]
    type = ComputeIsotropicElasticityTensor
    block = 2
    youngs_modulus = 1.0e6
    poissons_ratio = 0.3
  []
  [stress_right]
    type = ComputeFiniteStrainElasticStress
    block = 2
  []
[]

[UserObjects]
  [weighted_gap_uo]
    type = LMWeightedGapUserObject
    primary_boundary = '23'
    secondary_boundary = '11'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    correct_edge_dropping = true
    lm_variable = normal_lm
    disp_x = disp_x
    disp_y = disp_y
    disp_z = disp_z
  []
[]

[Constraints]
  [normal_lm]
    type = ComputeWeightedGapLMMechanicalContact
    primary_boundary = 'right_left'
    secondary_boundary = 'left_right'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    variable = normal_lm
    disp_x = disp_x
    disp_y = disp_y
    disp_z = disp_z
    use_displaced_mesh = true
    correct_edge_dropping = true
    weighted_gap_uo = weighted_gap_uo
  []
  [normal_x]
    type = NormalMortarMechanicalContact
    primary_boundary = 'right_left'
    secondary_boundary = 'left_right'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    variable = normal_lm
    secondary_variable = disp_x
    component = x
    use_displaced_mesh = true
    compute_lm_residuals = false
    correct_edge_dropping = true
    weighted_gap_uo = weighted_gap_uo
  []
  [normal_y]
    type = NormalMortarMechanicalContact
    primary_boundary = 'right_left'
    secondary_boundary = 'left_right'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    variable = normal_lm
    secondary_variable = disp_y
    component = y
    use_displaced_mesh = true
    compute_lm_residuals = false
    correct_edge_dropping = true
    weighted_gap_uo = weighted_gap_uo
  []
  [normal_z]
    type = NormalMortarMechanicalContact
    primary_boundary = 'right_left'
    secondary_boundary = 'left_right'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    variable = normal_lm
    secondary_variable = disp_z
    component = z
    use_displaced_mesh = true
    compute_lm_residuals = false
    correct_edge_dropping = true
    weighted_gap_uo = weighted_gap_uo
  []
[]

[Preconditioning]
  [SMP]
    type = SMP
    full = true
  []
[]

[Executioner]
  type = Transient
  solve_type = 'PJFNK'

  petsc_options_iname = '-pc_type -pc_factor_mat_solver_type -pc_factor_shift_type '
                        '-pc_factor_shift_amount'
  petsc_options_value = 'lu    superlu_dist nonzero 1e-10'

  line_search = 'none'

  dt = 0.1
  dtmin = 0.01
  end_time = 0.4

  l_max_its = 20

  nl_max_its = 20
  nl_rel_tol = 1e-6
  nl_abs_tol = 1e-8
  snesmf_reuse_base = false
[]

[Outputs]
  csv = true
  execute_on = 'FINAL'
[]

[Postprocessors]
  [contact]
    type = ContactDOFSetSize
    variable = normal_lm
    subdomain = 'secondary_lower'
  []
  [normal_lm]
    type = ElementAverageValue
    variable = normal_lm
    block = 'secondary_lower'
  []
  [avg_disp_x]
    type = ElementAverageValue
    variable = disp_x
    block = '1 2'
  []
  [avg_disp_y]
    type = ElementAverageValue
    variable = disp_y
    block = '1 2'
  []
  [max_disp_x]
    type = ElementExtremeValue
    variable = disp_x
    block = '1 2'
  []
  [max_disp_y]
    type = ElementExtremeValue
    variable = disp_y
    block = '1 2'
  []
  [min_disp_x]
    type = ElementExtremeValue
    variable = disp_x
    block = '1 2'
    value_type = min
  []
  [min_disp_y]
    type = ElementExtremeValue
    variable = disp_y
    block = '1 2'
    value_type = min
  []
[]

(modules/contact/test/tests/pdass_problems/ironing.i)

[GlobalParams]
  volumetric_locking_correction = true
  displacements = 'disp_x disp_y'
[]

[Mesh]
  [input_file]
    type = FileMeshGenerator
    file = iron.e
  []
  [secondary]
    type = LowerDBlockFromSidesetGenerator
    new_block_id = 10001
    new_block_name = 'secondary_lower'
    sidesets = '10'
    input = input_file
  []
  [primary]
    type = LowerDBlockFromSidesetGenerator
    new_block_id = 10000
    sidesets = '20'
    new_block_name = 'primary_lower'
    input = secondary
  []
  patch_update_strategy = auto
  patch_size = 20
[]

[Variables]
  [disp_x]
  []
  [disp_y]
  []
  [frictionless_normal_lm]
    order = FIRST
    family = LAGRANGE
    block = 'secondary_lower'
    use_dual = true
  []
  [tangential_lm]
    order = FIRST
    family = LAGRANGE
    block = 'secondary_lower'
    use_dual = true
  []
[]

[AuxVariables]
  [stress_xx]
    order = CONSTANT
    family = MONOMIAL
  []
  [stress_yy]
    order = CONSTANT
    family = MONOMIAL
  []
  [stress_xy]
    order = CONSTANT
    family = MONOMIAL
  []
  [saved_x]
  []
  [saved_y]
  []
  [diag_saved_x]
  []
  [diag_saved_y]
  []
  [von_mises]
    order = CONSTANT
    family = MONOMIAL
  []
[]

[Functions]
  [disp_ramp_vert]
    type = PiecewiseLinear
    x = '0. 2. 8.'
    y = '0. -1.0 -1.0'
  []
  [disp_ramp_horz]
    type = PiecewiseLinear
    x = '0. 8.' # x = '0. 2. 8.'
    y = '0. 8.' # y = '0. 0. 8'
  []
[]

[Kernels]
  [TensorMechanics]
    use_displaced_mesh = true
    save_in = 'saved_x saved_y'
    block = '1 2'
    strain = FINITE
  []
[]

[AuxKernels]
  [stress_xx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xx
    index_i = 0
    index_j = 0
    execute_on = timestep_end
    block = '1 2'
  []
  [stress_yy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yy
    index_i = 1
    index_j = 1
    execute_on = timestep_end
    block = '1 2'
  []
  [stress_xy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xy
    index_i = 0
    index_j = 1
    execute_on = timestep_end
    block = '1 2'
  []
  [von_mises_kernel]
    #Calculates the von mises stress and assigns it to von_mises
    type = RankTwoScalarAux
    variable = von_mises
    rank_two_tensor = stress
    execute_on = timestep_end
    scalar_type = VonMisesStress
    block = '1 2'
  []
[]

[Postprocessors]
  [bot_react_x]
    type = NodalSum
    variable = saved_x
    boundary = 20
  []
  [bot_react_y]
    type = NodalSum
    variable = saved_y
    boundary = 20
  []
  [top_react_x]
    type = NodalSum
    variable = saved_x
    boundary = 10
  []
  [top_react_y]
    type = NodalSum
    variable = saved_y
    boundary = 10
  []
  [_dt]
    type = TimestepSize
  []
  [contact_pressure]
    type = NodalVariableValue
    variable = frictionless_normal_lm
    nodeid = 805
  []
[]

[BCs]
  [bot_x_disp]
    type = DirichletBC
    variable = disp_x
    boundary = '40'
    value = 0.0
    preset = false
  []
  [bot_y_disp]
    type = DirichletBC
    variable = disp_y
    boundary = '40'
    value = 0.0
    preset = false
  []
  [top_y_disp]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = '30'
    function = disp_ramp_vert
    preset = false
  []
  [top_x_disp]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = '30'
    function = disp_ramp_horz
    preset = false
  []
[]

[Materials]
  [stuff1_elas_tens]
    type = ComputeIsotropicElasticityTensor
    block = '2'
    youngs_modulus = 6896
    poissons_ratio = 0.32
  []
  [stuff1_strain]
    type = ComputeFiniteStrain
    block = '2'
  []
  [stuff1_stress]
    type = ComputeFiniteStrainElasticStress
    block = '2'
  []
  [stuff2_elas_tens]
    type = ComputeIsotropicElasticityTensor
    block = '1'
    youngs_modulus = 689.6
    poissons_ratio = 0.32
  []
  [stuff2_strain]
    type = ComputeFiniteStrain
    block = '1'
  []
  [stuff2_stress]
    type = ComputeFiniteStrainElasticStress
    block = '1'
  []
[]

[Executioner]
  type = Transient
  solve_type = 'PJFNK'

  petsc_options = '-snes_ksp_ew'
  petsc_options_iname = '-pc_type -pc_factor_mat_solver_type'
  petsc_options_value = 'lu     superlu_dist'
  line_search = 'none'

  nl_abs_tol = 1e-7
  nl_rel_tol = 1e-7
  l_tol = 1e-6

  l_max_its = 50
  nl_max_its = 30

  start_time = 0.0
  end_time = 0.1 # 6.5

  dt = 0.0125
  dtmin = 1e-5
[]

[Preconditioning]
  [SMP]
    type = SMP
    full = true
  []
[]

[VectorPostprocessors]
  [cont_press]
    type = NodalValueSampler
    variable = frictionless_normal_lm
    boundary = '10'
    sort_by = id
    execute_on = FINAL
  []
  [friction]
    type = NodalValueSampler
    variable = tangential_lm
    boundary = '10'
    sort_by = id
    execute_on = FINAL
  []
[]

[Outputs]
  print_linear_residuals = true
  perf_graph = true
  exodus = false
  csv = true

  [chkfile]
    type = CSV
    show = 'cont_press friction'
    start_time = 0.0
    execute_vector_postprocessors_on = FINAL
  []

  [console]
    type = Console
    max_rows = 5
  []
[]

[Debug]
  show_var_residual_norms = true
[]

[UserObjects]
  [weighted_vel_uo]
    type = LMWeightedVelocitiesUserObject
    primary_boundary = 20
    secondary_boundary = 10
    primary_subdomain = 10000
    secondary_subdomain = 10001
    lm_variable_normal = frictionless_normal_lm
    lm_variable_tangential_one = tangential_lm
    secondary_variable = disp_x
    disp_x = disp_x
    disp_y = disp_y
  []
[]

[Constraints]
  # All constraints below for mechanical contact (Mortar)
  [weighted_gap_lm]
    type = ComputeFrictionalForceLMMechanicalContact
    primary_boundary = 20
    secondary_boundary = 10
    primary_subdomain = 10000
    secondary_subdomain = 10001
    variable = frictionless_normal_lm
    disp_x = disp_x
    disp_y = disp_y
    use_displaced_mesh = true
    friction_lm = tangential_lm
    mu = 0.5
    c_t = 1.0e1
    c = 1.0e3
    weighted_gap_uo = weighted_vel_uo
    weighted_velocities_uo = weighted_vel_uo
  []
  [x]
    type = NormalMortarMechanicalContact
    primary_boundary = 20
    secondary_boundary = 10
    primary_subdomain = '10000'
    secondary_subdomain = '10001'
    variable = frictionless_normal_lm
    secondary_variable = disp_x
    component = x
    use_displaced_mesh = true
    compute_lm_residuals = false
    weighted_gap_uo = weighted_vel_uo
  []
  [y]
    type = NormalMortarMechanicalContact
    primary_boundary = 20
    secondary_boundary = 10
    primary_subdomain = '10000'
    secondary_subdomain = '10001'
    variable = frictionless_normal_lm
    secondary_variable = disp_y
    component = y
    use_displaced_mesh = true
    compute_lm_residuals = false
    weighted_gap_uo = weighted_vel_uo
  []
  [tangential_x]
    type = TangentialMortarMechanicalContact
    primary_boundary = 20
    secondary_boundary = 10
    primary_subdomain = '10000'
    secondary_subdomain = '10001'
    variable = tangential_lm
    secondary_variable = disp_x
    component = x
    use_displaced_mesh = true
    compute_lm_residuals = false
    weighted_velocities_uo = weighted_vel_uo
  []
  [tangential_y]
    type = TangentialMortarMechanicalContact
    primary_boundary = 20
    secondary_boundary = 10
    primary_subdomain = '10000'
    secondary_subdomain = '10001'
    variable = tangential_lm
    secondary_variable = disp_y
    component = y
    use_displaced_mesh = true
    compute_lm_residuals = false
    weighted_velocities_uo = weighted_vel_uo
  []
[]

(modules/solid_mechanics/test/tests/capped_mohr_coulomb/small_deform_hard13.i)

# Using CappedMohrCoulomb with compressive failure only
# checking for small deformation, with cubic hardening
# A single element is repeatedly compressed in z direction
# compressive_strength is set to 0.9Pa, compressive_strength_residual = 0.5Pa, and limit value = 1E-5
# This allows the hardening of the compressive strength to be observed

[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]

[Physics/SolidMechanics/QuasiStatic]
  [./all]
    add_variables = true
    incremental = true
    generate_output = 'max_principal_stress mid_principal_stress min_principal_stress stress_xx stress_xy stress_xz stress_yy stress_yz stress_zz'
  [../]
[]

[BCs]
  [./x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'front back'
    function = '0'
  [../]
  [./y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'front back'
    function = '0'
  [../]
  [./z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'front back'
    function = '-0.5E-6*z*t'
  [../]
[]

[AuxVariables]
  [./yield_fcn]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./iter]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./intnl]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]

[AuxKernels]
  [./yield_fcn_auxk]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 3
    variable = yield_fcn
  [../]
  [./iter_auxk]
    type = MaterialRealAux
    property = plastic_NR_iterations
    variable = iter
  [../]
  [./intnl_auxk]
    type = MaterialStdVectorAux
    property = plastic_internal_parameter
    index = 1
    variable = intnl
  [../]
[]

[Postprocessors]
  [./s_I]
    type = PointValue
    point = '0 0 0'
    variable = max_principal_stress
  [../]
  [./s_II]
    type = PointValue
    point = '0 0 0'
    variable = mid_principal_stress
  [../]
  [./s_III]
    type = PointValue
    point = '0 0 0'
    variable = min_principal_stress
  [../]
  [./f]
    type = PointValue
    point = '0 0 0'
    variable = yield_fcn
  [../]
  [./iter]
    type = PointValue
    point = '0 0 0'
    variable = iter
  [../]
  [./intnl]
    type = PointValue
    point = '0 0 0'
    variable = intnl
  [../]
[]

[UserObjects]
  [./ts]
    type = SolidMechanicsHardeningConstant
    value = 1E6
  [../]
  [./cs]
    type = SolidMechanicsHardeningCubic
    value_0 = 0.9
    value_residual = 0.5
    internal_0 = -1E-5
    internal_limit = 0
  [../]
  [./coh]
    type = SolidMechanicsHardeningConstant
    value = 1E6
  [../]
  [./ang]
    type = SolidMechanicsHardeningConstant
    value = 0.5
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    fill_method = symmetric_isotropic
    C_ijkl = '0 2.0E6'
  [../]
  [./compressive]
    type = CappedMohrCoulombStressUpdate
    tensile_strength = ts
    compressive_strength = cs
    cohesion = coh
    friction_angle = ang
    dilation_angle = ang
    smoothing_tol = 0.0
    yield_function_tol = 1.0E-12
  [../]
  [./stress]
    type = ComputeMultipleInelasticStress
    inelastic_models = compressive
    perform_finite_strain_rotations = false
  [../]
[]


[Executioner]
  end_time = 10
  dt = 1.0
  type = Transient
[]


[Outputs]
  file_base = small_deform_hard13
  csv = true
[]

(modules/solid_mechanics/test/tests/mohr_coulomb/small_deform_hard_cubic.i)

# apply uniform stretches in x, y and z directions.
# let cohesion = 10, cohesion_residual = 2, cohesion_limit = 0.0003
# With cohesion = C, friction_angle = 60deg, tip_smoother = 4, the
# algorithm should return to
# sigma_m = (C*Cos(60) - 4)/Sin(60)
# This allows checking of the relationship for C

[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]


[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
[]

[Kernels]
  [SolidMechanics]
    displacements = 'disp_x disp_y disp_z'
  [../]
[]


[BCs]
  [./x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'front back'
    function = '1E-6*x*t'
  [../]
  [./y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'front back'
    function = '1E-6*y*t'
  [../]
  [./z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'front back'
    function = '1E-6*z*t'
  [../]
[]

[AuxVariables]
  [./stress_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./mc_int]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./yield_fcn]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]

[AuxKernels]
  [./stress_xx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xx
    index_i = 0
    index_j = 0
  [../]
  [./stress_xy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xy
    index_i = 0
    index_j = 1
  [../]
  [./stress_xz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xz
    index_i = 0
    index_j = 2
  [../]
  [./stress_yy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yy
    index_i = 1
    index_j = 1
  [../]
  [./stress_yz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yz
    index_i = 1
    index_j = 2
  [../]
  [./stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zz
    index_i = 2
    index_j = 2
  [../]
  [./mc_int_auxk]
    type = MaterialStdVectorAux
    index = 0
    property = plastic_internal_parameter
    variable = mc_int
  [../]
  [./yield_fcn_auxk]
    type = MaterialStdVectorAux
    index = 0
    property = plastic_yield_function
    variable = yield_fcn
  [../]
[]

[Postprocessors]
  [./s_xx]
    type = PointValue
    point = '0 0 0'
    variable = stress_xx
  [../]
  [./s_xy]
    type = PointValue
    point = '0 0 0'
    variable = stress_xy
  [../]
  [./s_xz]
    type = PointValue
    point = '0 0 0'
    variable = stress_xz
  [../]
  [./s_yy]
    type = PointValue
    point = '0 0 0'
    variable = stress_yy
  [../]
  [./s_yz]
    type = PointValue
    point = '0 0 0'
    variable = stress_yz
  [../]
  [./s_zz]
    type = PointValue
    point = '0 0 0'
    variable = stress_zz
  [../]
  [./internal]
    type = PointValue
    point = '0 0 0'
    variable = mc_int
  [../]
  [./f]
    type = PointValue
    point = '0 0 0'
    variable = yield_fcn
  [../]
[]

[UserObjects]
  [./mc_coh]
    type = SolidMechanicsHardeningCubic
    value_0 = 10
    value_residual = 2
    internal_limit = 0.0003
  [../]
  [./mc_phi]
    type = SolidMechanicsHardeningConstant
    value = 60
    convert_to_radians = true
  [../]
  [./mc_psi]
    type = SolidMechanicsHardeningConstant
    value = 5
    convert_to_radians = true
  [../]
  [./mc]
    type = SolidMechanicsPlasticMohrCoulomb
    cohesion = mc_coh
    friction_angle = mc_phi
    dilation_angle = mc_psi
    mc_tip_smoother = 4
    mc_edge_smoother = 25
    yield_function_tolerance = 1E-3
    internal_constraint_tolerance = 1E-9
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    block = 0
    fill_method = symmetric_isotropic
    C_ijkl = '0 1E7'
  [../]
  [./strain]
    type = ComputeFiniteStrain
    block = 0
    displacements = 'disp_x disp_y disp_z'
  [../]
  [./mc]
    type = ComputeMultiPlasticityStress
    block = 0
    ep_plastic_tolerance = 1E-9
    plastic_models = mc
    debug_fspb = crash
    debug_jac_at_stress = '10 1 2 1 10 3 2 3 10'
    debug_jac_at_pm = 1
    debug_jac_at_intnl = 1E-4
    debug_stress_change = 1E-5
    debug_pm_change = 1E-6
    debug_intnl_change = 1E-8
  [../]
[]


[Executioner]
  end_time = 10
  dt = 0.25
  type = Transient
[]


[Outputs]
  file_base = small_deform_hard_cubic
  exodus = false
  [./csv]
    type = CSV
    [../]
[]

(modules/solid_mechanics/test/tests/jacobian_damper/block_restriction.i)

[Problem]
  kernel_coverage_check = false
[]

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]

[Mesh]
  [gmg]
    type = GeneratedMeshGenerator
    dim = 3
    nx = 1
    ny = 1
    nz = 1
  []
  [lower_d]
    type = LowerDBlockFromSidesetGenerator
    input = gmg
    sidesets = left
    new_block_id = 10
  []
[]

[Functions]
  [top_pull]
    type = PiecewiseLinear
    x = '0 1     2'
    y = '0 0.025 0.05'
  []
[]

[Physics]
  [SolidMechanics]
    [QuasiStatic]
      [all]
        strain = FINITE
        add_variables = true
        new_system = true
        formulation = TOTAL
        block = 0
      []
    []
  []
[]

[BCs]
  [y_pull_function]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 3
    function = top_pull
    preset = true
  []
  [x_bot]
    type = DirichletBC
    variable = disp_x
    boundary = 4
    value = 0.0
  []
  [y_bot]
    type = DirichletBC
    variable = disp_y
    boundary = 1
    value = 0.0
  []
  [z_bot]
    type = DirichletBC
    variable = disp_z
    boundary = 0
    value = 0.0
  []
[]

[Materials]
  [elasticity_tensor]
    type = ComputeIsotropicElasticityTensor
    poissons_ratio = 0.3
    youngs_modulus = 2e5
    block = 0
  []
  [stress]
    type = ComputeLagrangianLinearElasticStress
    large_kinematics = true
    block = 0
  []
  [dummy]
    type = GenericConstantMaterial
    prop_names = dummy
    prop_values = 0
    block = 10
  []
[]

[Dampers]
  [ejd]
    type = ReferenceElementJacobianDamper
    max_increment = 0.002
    displacements = 'disp_x disp_y disp_z'
    block = 0
  []
[]

[Executioner]
  type = Transient

  solve_type = NEWTON

  petsc_options_iname = '-pc_type'
  petsc_options_value = 'lu'

  line_search = 'none'

  nl_rel_tol = 1e-12
  nl_abs_tol = 1e-10
  start_time = 0.0
  end_time = 2
  dt = 1
[]

[Outputs]
  exodus = true
  print_linear_residuals = false
[]

(modules/solid_mechanics/test/tests/smeared_cracking/cracking_multiple_softening.i)

# Test of cracking with direction-specific release models in 3
# directions. Block is first pulled in one direction, and then
# held while it is sequentially pulled in the other two
# directions. Poisson's ratio is zero so that the cracking in one
# direction doesn't affect the others.

# Softening in the three directions should follow the laws for the
# prescribed models in the three directions, which are power law (x),
# exponential (y), and abrupt (z).

[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
[]

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]

[Functions]
  [./displx]
    type = PiecewiseLinear
    x = '0 1 2 3'
    y = '0 1 1 1'
  [../]
  [./disply]
    type = PiecewiseLinear
    x = '0 1 2 3'
    y = '0 0 1 1'
  [../]
  [./displz]
    type = PiecewiseLinear
    x = '0 1 2 3'
    y = '0 0 0 1'
  [../]
[]

[Physics/SolidMechanics/QuasiStatic]
  [./all]
    strain = FINITE
    add_variables = true
    generate_output = 'stress_xx stress_yy stress_zz stress_xy stress_yz stress_zx'
  [../]
[]

[BCs]
  [./pullx]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = right
    function = displx
  [../]
  [./pully]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = top
    function = disply
  [../]
  [./pullz]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = front
    function = displz
  [../]
  [./left]
    type = DirichletBC
    variable = disp_x
    boundary = left
    value = 0.0
  [../]
  [./bottom]
    type = DirichletBC
    variable = disp_y
    boundary = bottom
    value = 0.0
  [../]
  [./back]
    type = DirichletBC
    variable = disp_z
    boundary = back
    value = 0.0
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeIsotropicElasticityTensor
    youngs_modulus = 2.8e7
    poissons_ratio = 0
  [../]
  [./elastic_stress]
    type = ComputeSmearedCrackingStress
    cracking_stress = 1.68e6
    cracked_elasticity_type = FULL
    softening_models = 'power_law_softening exponential_softening abrupt_softening'
    prescribed_crack_directions = 'x y z'
  [../]
  [./power_law_softening]
    type = PowerLawSoftening
    stiffness_reduction = 0.3333
  [../]
  [./exponential_softening]
    type = ExponentialSoftening
  [../]
  [./abrupt_softening]
    type = AbruptSoftening
  [../]
[]

[Executioner]
  type = Transient

  petsc_options_iname = '-ksp_gmres_restart -pc_type -sub_pc_type'
  petsc_options_value = '101                asm      lu'

  line_search = 'none'

  l_max_its = 100
  nl_max_its = 100
  nl_rel_tol = 1e-8
  nl_abs_tol = 1e-8
  l_tol = 1e-5
  start_time = 0.0
  end_time = 3.0
  dt = 0.01
[]

[Outputs]
  exodus = true
[]

(modules/combined/examples/xfem/xfem_mechanics_prescribed_growth.i)

# This is a demonstration of a simple mechanics simulation using XFEM
# to represent a single crack that is prescribed to propagate along
# a line over time.

[GlobalParams]
  displacements = 'disp_x disp_y'
  volumetric_locking_correction = true
[]

[Mesh]
  type = GeneratedMesh
  dim = 2
  nx = 11
  ny = 11
  xmin = 0.0
  xmax = 1.0
  ymin = 0.0
  ymax = 1.0
  elem_type = QUAD4
[]

[XFEM]
  geometric_cut_userobjects = 'line_seg_cut_uo'
  qrule = volfrac
  output_cut_plane = true
[]

[UserObjects]
  [./line_seg_cut_uo]
    type = LineSegmentCutUserObject
    cut_data = '1.0  0.5  0.1  0.5'
    time_start_cut = 0.0
    time_end_cut = 8.0
  [../]
[]

[Physics/SolidMechanics/QuasiStatic]
  [./all]
    strain = FINITE
    planar_formulation = plane_strain
    add_variables = true
  [../]
[]

[Functions]
  [./pull]
    type = PiecewiseLinear
    x='0  50'
    y='0  0.02'
  [../]
[]

[BCs]
  [./bottomx]
    type = DirichletBC
    boundary = bottom
    variable = disp_x
    value = 0.0
  [../]
  [./bottomy]
    type = DirichletBC
    boundary = bottom
    variable = disp_y
    value = 0.0
  [../]
  [./topx]
    type = DirichletBC
    boundary = top
    variable = disp_x
    value = 0.0
  [../]
  [./topy]
    type = FunctionDirichletBC
    boundary = top
    variable = disp_y
    function = pull
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeIsotropicElasticityTensor
    youngs_modulus = 1e6
    poissons_ratio = 0.3
  [../]

  [./_elastic_strain]
    type = ComputeFiniteStrainElasticStress
  [../]
[]

[Executioner]
  type = Transient

  solve_type = 'PJFNK'
  petsc_options_iname = '-ksp_gmres_restart -pc_type -pc_hypre_type -pc_hypre_boomeramg_max_iter'
  petsc_options_value = '201                hypre    boomeramg      8'

  line_search = 'none'

  [./Predictor]
    type = SimplePredictor
    scale = 1.0
  [../]

# controls for linear iterations
  l_max_its = 100
  l_tol = 1e-2

# controls for nonlinear iterations
  nl_max_its = 15
  nl_rel_tol = 1e-14
  nl_abs_tol = 1e-9

# time control
  start_time = 0.0
  dt = 1.0
  end_time = 10.0

  max_xfem_update = 5
[]

[Outputs]
  exodus = true
  execute_on = timestep_end
  [./console]
    type = Console
    output_linear = true
  [../]
[]

(modules/heat_transfer/test/tests/truss_heat_conduction/line.i)

[Mesh]
  [gmg]
    type = GeneratedMeshGenerator
    dim = 1
    nx = 10
    xmax = 0.5
    xmin = -0.5
  []
  [left_line]
    type = SubdomainBoundingBoxGenerator
    input = gmg
    bottom_left = '-0.5 0 0'
    top_right = '0 0 0'
    block_id = 1
    block_name = 'left_line'
    location = INSIDE
  []
  [right_line]
    type = SubdomainBoundingBoxGenerator
    input = left_line
    bottom_left = '0 0 0'
    top_right = '0.5 0 0'
    block_id = 2
    block_name = 'right_line'
    location = INSIDE
  []
[]

[Variables]
  [temperature]
  []
[]

[Kernels]
  [time_derivative]
    # type = HeatConductionTimeDerivative
    type = TrussHeatConductionTimeDerivative
    variable = temperature
    area = area
  []
  [heat_conduction]
    # type = HeatConduction
    type = TrussHeatConduction
    variable = temperature
    area = area
  []
[]

[AuxVariables]
  [area]
    order = CONSTANT
    family = MONOMIAL
  []
[]

[AuxKernels]
  [area]
    type = ConstantAux
    variable = area
    value = 0.1
    execute_on = 'initial timestep_begin'
  []
[]

[Materials]
  [left_line]
    type = GenericConstantMaterial
    block = 'left_line'
    prop_names =  'thermal_conductivity specific_heat density'
    prop_values = '0.1                 1.0           1.0' # W/(cm K), J/(g K), g/cm^3
  []
  [right_line]
    type = GenericConstantMaterial
    block = 'right_line'
    prop_names =  'thermal_conductivity specific_heat density'
    prop_values = '5.0e-3                  1.0           1.0' # W/(cm K), J/(g K), g/cm^3
  []
[]

[BCs]
  [right]
    type = FunctionDirichletBC
    variable = temperature
    boundary = 'right'
    function = '10*t'
  []
[]

[VectorPostprocessors]
  [center]
    type = LineValueSampler
    start_point = '-0.5 0 0'
    end_point = '0.5 0 0'
    num_points = 40
    variable = 'temperature'
    sort_by = id
  []
[]

[Executioner]
  type = Transient
  start_time = 0
  dt = 1
  end_time = 1
  solve_type = 'PJFNK'
  petsc_options_iname = '-pc_type -pc_hypre_type'
  petsc_options_value = 'hypre boomeramg'
[]

[Outputs]
  exodus = true
  [csv]
    type = CSV
    file_base = 'csv/line'
    time_data = true
  []
[]

(modules/solid_mechanics/test/tests/crystal_plasticity/twinning/combined_twinning_slip_error.i)

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]

[Mesh]
  [cube]
    type = GeneratedMeshGenerator
    dim = 3
    nx = 2
    ny = 2
    nz = 2
    elem_type = HEX8
  []
[]

[AuxVariables]
  [fp_zz]
    order = CONSTANT
    family = MONOMIAL
  []
  [total_twin_volume_fraction]
    order = CONSTANT
    family = MONOMIAL
  []
  [slip_increment_0]
    order = CONSTANT
    family = MONOMIAL
  []
  [slip_increment_1]
    order = CONSTANT
    family = MONOMIAL
  []
  [slip_increment_2]
    order = CONSTANT
    family = MONOMIAL
  []
  [slip_increment_3]
    order = CONSTANT
    family = MONOMIAL
  []
  [slip_increment_4]
    order = CONSTANT
    family = MONOMIAL
  []
  [slip_increment_5]
    order = CONSTANT
    family = MONOMIAL
  []
  [slip_increment_6]
    order = CONSTANT
    family = MONOMIAL
  []
  [slip_increment_7]
    order = CONSTANT
    family = MONOMIAL
  []
  [slip_increment_8]
    order = CONSTANT
    family = MONOMIAL
  []
  [slip_increment_9]
    order = CONSTANT
    family = MONOMIAL
  []
  [slip_increment_10]
    order = CONSTANT
    family = MONOMIAL
  []
  [slip_increment_11]
    order = CONSTANT
    family = MONOMIAL
  []
  [twin_volume_fraction_0]
   order = CONSTANT
   family = MONOMIAL
  []
  [twin_volume_fraction_1]
   order = CONSTANT
   family = MONOMIAL
  []
  [twin_volume_fraction_2]
   order = CONSTANT
   family = MONOMIAL
  []
  [twin_volume_fraction_3]
   order = CONSTANT
   family = MONOMIAL
  []
  [twin_volume_fraction_4]
   order = CONSTANT
   family = MONOMIAL
  []
  [twin_volume_fraction_5]
   order = CONSTANT
   family = MONOMIAL
  []
  [twin_volume_fraction_6]
   order = CONSTANT
   family = MONOMIAL
  []
  [twin_volume_fraction_7]
   order = CONSTANT
   family = MONOMIAL
  []
  [twin_volume_fraction_8]
   order = CONSTANT
   family = MONOMIAL
  []
  [twin_volume_fraction_9]
   order = CONSTANT
   family = MONOMIAL
  []
  [twin_volume_fraction_10]
   order = CONSTANT
   family = MONOMIAL
  []
  [twin_volume_fraction_11]
   order = CONSTANT
   family = MONOMIAL
  []
[]

[Physics/SolidMechanics/QuasiStatic/all]
  strain = FINITE
  add_variables = true
[]

[AuxKernels]
  [fp_zz]
    type = RankTwoAux
    variable = fp_zz
    rank_two_tensor = plastic_deformation_gradient
    index_j = 2
    index_i = 2
    execute_on = timestep_end
  []
  [total_twin_volume_fraction]
    type = MaterialRealAux
    variable = total_twin_volume_fraction
    property = twin_total_volume_fraction_twins
    execute_on = timestep_end
  []
  [slip_increment_0]
   type = MaterialStdVectorAux
   variable = slip_increment_0
   property = slip_increment
   index = 0
   execute_on = timestep_end
  []
  [slip_increment_1]
   type = MaterialStdVectorAux
   variable = slip_increment_1
   property = slip_increment
   index = 1
   execute_on = timestep_end
  []
  [slip_increment_2]
   type = MaterialStdVectorAux
   variable = slip_increment_2
   property = slip_increment
   index = 2
   execute_on = timestep_end
  []
  [slip_increment_3]
   type = MaterialStdVectorAux
   variable = slip_increment_3
   property = slip_increment
   index = 3
   execute_on = timestep_end
  []
  [slip_increment_4]
   type = MaterialStdVectorAux
   variable = slip_increment_4
   property = slip_increment
   index = 4
   execute_on = timestep_end
  []
  [slip_increment_5]
   type = MaterialStdVectorAux
   variable = slip_increment_5
   property = slip_increment
   index = 5
   execute_on = timestep_end
  []
  [slip_increment_6]
   type = MaterialStdVectorAux
   variable = slip_increment_6
   property = slip_increment
   index = 6
   execute_on = timestep_end
  []
  [slip_increment_7]
   type = MaterialStdVectorAux
   variable = slip_increment_7
   property = slip_increment
   index = 7
   execute_on = timestep_end
  []
  [slip_increment_8]
   type = MaterialStdVectorAux
   variable = slip_increment_8
   property = slip_increment
   index = 8
   execute_on = timestep_end
  []
  [slip_increment_9]
   type = MaterialStdVectorAux
   variable = slip_increment_9
   property = slip_increment
   index = 9
   execute_on = timestep_end
  []
  [slip_increment_10]
   type = MaterialStdVectorAux
   variable = slip_increment_10
   property = slip_increment
   index = 10
   execute_on = timestep_end
  []
  [slip_increment_11]
   type = MaterialStdVectorAux
   variable = slip_increment_11
   property = slip_increment
   index = 11
   execute_on = timestep_end
  []
  [twin_volume_fraction_0]
   type = MaterialStdVectorAux
   variable = twin_volume_fraction_0
   property = twin_twin_system_volume_fraction
   index = 0
   execute_on = timestep_end
  []
  [twin_volume_fraction_1]
   type = MaterialStdVectorAux
   variable = twin_volume_fraction_1
   property = twin_twin_system_volume_fraction
   index = 1
   execute_on = timestep_end
  []
  [twin_volume_fraction_2]
   type = MaterialStdVectorAux
   variable = twin_volume_fraction_2
   property = twin_twin_system_volume_fraction
   index = 2
   execute_on = timestep_end
  []
  [twin_volume_fraction_3]
   type = MaterialStdVectorAux
   variable = twin_volume_fraction_3
   property = twin_twin_system_volume_fraction
   index = 3
   execute_on = timestep_end
  []
  [twin_volume_fraction_4]
   type = MaterialStdVectorAux
   variable = twin_volume_fraction_4
   property = twin_twin_system_volume_fraction
   index = 4
   execute_on = timestep_end
  []
  [twin_volume_fraction_5]
   type = MaterialStdVectorAux
   variable = twin_volume_fraction_5
   property = twin_twin_system_volume_fraction
   index = 5
   execute_on = timestep_end
  []
  [twin_volume_fraction_6]
   type = MaterialStdVectorAux
   variable = twin_volume_fraction_6
   property = twin_twin_system_volume_fraction
   index = 6
   execute_on = timestep_end
  []
  [twin_volume_fraction_7]
   type = MaterialStdVectorAux
   variable = twin_volume_fraction_7
   property = twin_twin_system_volume_fraction
   index = 7
   execute_on = timestep_end
  []
  [twin_volume_fraction_8]
   type = MaterialStdVectorAux
   variable = twin_volume_fraction_8
   property = twin_twin_system_volume_fraction
   index = 8
   execute_on = timestep_end
  []
  [twin_volume_fraction_9]
   type = MaterialStdVectorAux
   variable = twin_volume_fraction_9
   property = twin_twin_system_volume_fraction
   index = 9
   execute_on = timestep_end
  []
  [twin_volume_fraction_10]
   type = MaterialStdVectorAux
   variable = twin_volume_fraction_10
   property = twin_twin_system_volume_fraction
   index = 10
   execute_on = timestep_end
  []
  [twin_volume_fraction_11]
   type = MaterialStdVectorAux
   variable = twin_volume_fraction_11
   property = twin_twin_system_volume_fraction
   index = 11
   execute_on = timestep_end
  []
[]

[BCs]
  [fix_y]
    type = DirichletBC
    variable = disp_y
    preset = true
    boundary = 'bottom'
    value = 0
  []
  [fix_x]
    type = DirichletBC
    variable = disp_x
    boundary = 'left'
    value = 0
  []
  [fix_z]
    type = DirichletBC
    variable = disp_z
    boundary = 'back'
    value = 0
  []
  [tdisp]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = front
    function = '0.02*t'
  []
[]

[Materials]
  [elasticity_tensor]
    type = ComputeElasticityTensorCP
    C_ijkl = '1.684e5 1.214e5 1.214e5 1.684e5 1.214e5 1.684e5 0.754e5 0.754e5 0.754e5' # roughly copper
    fill_method = symmetric9
    euler_angle_1 = 54.74
    euler_angle_2 = 45.0
    euler_angle_3 = 270.0
  []
  [stress]
    type = ComputeMultipleCrystalPlasticityStress
    crystal_plasticity_models = 'twin_xtalpl slip_xtalpl'
    tan_mod_type = exact
  []
  [twin_xtalpl]
    type = CrystalPlasticityTwinningKalidindiUpdate
    base_name = twin
    number_slip_systems = 12
    slip_sys_file_name = 'fcc_input_twinning_systems.txt'
    initial_twin_lattice_friction = 60.0
  []
  [slip_xtalpl]
    type = CrystalPlasticityKalidindiUpdate
    number_slip_systems = 12
    slip_sys_file_name = input_slip_sys.txt
    total_twin_volume_fraction = 'total_volume_fraction_twins'
  []
[]

[Postprocessors]
  [fp_zz]
    type = ElementAverageValue
    variable = fp_zz
  []
  [total_twin_volume_fraction]
    type = ElementAverageValue
    variable = total_twin_volume_fraction
  []
  [slip_increment_0]
    type = ElementAverageValue
    variable = slip_increment_0
  []
  [slip_increment_1]
    type = ElementAverageValue
    variable = slip_increment_1
  []
  [slip_increment_2]
    type = ElementAverageValue
    variable = slip_increment_2
  []
  [slip_increment_3]
    type = ElementAverageValue
    variable = slip_increment_3
  []
  [slip_increment_4]
    type = ElementAverageValue
    variable = slip_increment_4
  []
  [slip_increment_5]
    type = ElementAverageValue
    variable = slip_increment_5
  []
  [slip_increment_6]
    type = ElementAverageValue
    variable = slip_increment_6
  []
  [slip_increment_7]
    type = ElementAverageValue
    variable = slip_increment_7
  []
  [slip_increment_8]
    type = ElementAverageValue
    variable = slip_increment_8
  []
  [slip_increment_9]
    type = ElementAverageValue
    variable = slip_increment_9
  []
  [slip_increment_10]
    type = ElementAverageValue
    variable = slip_increment_10
  []
  [slip_increment_11]
    type = ElementAverageValue
    variable = slip_increment_11
  []
  [twin_volume_fraction_0]
    type = ElementAverageValue
    variable = twin_volume_fraction_0
  []
  [twin_volume_fraction_1]
    type = ElementAverageValue
    variable = twin_volume_fraction_1
  []
  [twin_volume_fraction_2]
    type = ElementAverageValue
    variable = twin_volume_fraction_2
  []
  [twin_volume_fraction_3]
    type = ElementAverageValue
    variable = twin_volume_fraction_3
  []
  [twin_volume_fraction_4]
    type = ElementAverageValue
    variable = twin_volume_fraction_4
  []
  [twin_volume_fraction_5]
    type = ElementAverageValue
    variable = twin_volume_fraction_5
  []
  [twin_volume_fraction_6]
    type = ElementAverageValue
    variable = twin_volume_fraction_6
  []
  [twin_volume_fraction_7]
    type = ElementAverageValue
    variable = twin_volume_fraction_7
  []
  [twin_volume_fraction_8]
    type = ElementAverageValue
    variable = twin_volume_fraction_8
  []
  [twin_volume_fraction_9]
    type = ElementAverageValue
    variable = twin_volume_fraction_9
  []
  [twin_volume_fraction_10]
    type = ElementAverageValue
    variable = twin_volume_fraction_10
  []
  [twin_volume_fraction_11]
    type = ElementAverageValue
    variable = twin_volume_fraction_11
  []
[]

[Preconditioning]
  [smp]
    type = SMP
    full = true
  []
[]

[Executioner]
  type = Transient
  solve_type = 'PJFNK'

  petsc_options_iname = '-pc_type -pc_asm_overlap -sub_pc_type -ksp_type -ksp_gmres_restart'
  petsc_options_value = ' asm      2              lu            gmres     200'
  nl_abs_tol = 1e-10
  nl_rel_tol = 1e-10
  nl_abs_step_tol = 1e-10

  dt = 0.005
  dtmin = 0.01
  num_steps = 6
[]

[Outputs]
  csv = true
  perf_graph = true
[]

(modules/heat_transfer/test/tests/heat_conduction_patch/heat_conduction_patch_hex20_aniso.i)

# This problem is taken from the Abaqus verification manual:
#   "1.5.8 Patch test for heat transfer elements"
#
# The temperature on the exterior nodes is 200x+100y+200z.
#
# This gives a constant flux at all Gauss points.
#
# In addition, the temperature at all nodes follows the same formula.
#
# Node x          y          z          Temperature
#   1  1.000E+00  0.000E+00  1.000E+00  4.0000E+02
#   2  6.770E-01  3.050E-01  6.830E-01  3.0250E+02
#   3  3.200E-01  1.860E-01  6.430E-01  2.1120E+02
#   4  0.000E+00  0.000E+00  1.000E+00  2.0000E+02
#   5  1.000E+00  1.000E+00  1.000E+00  5.0000E+02
#   6  7.880E-01  6.930E-01  6.440E-01  3.5570E+02
#   7  1.650E-01  7.450E-01  7.020E-01  2.4790E+02
#   8  0.000E+00  1.000E+00  1.000E+00  3.0000E+02
#   9  8.385E-01  1.525E-01  8.415E-01  3.5125E+02
#  10  4.985E-01  2.455E-01  6.630E-01  2.5685E+02
#  11  1.600E-01  9.300E-02  8.215E-01  2.0560E+02
#  12  5.000E-01  0.000E+00  1.000E+00  3.0000E+02
#  13  1.000E+00  5.000E-01  1.000E+00  4.5000E+02
#  14  7.325E-01  4.990E-01  6.635E-01  3.2910E+02
#  15  2.425E-01  4.655E-01  6.725E-01  2.2955E+02
#  16  0.000E+00  5.000E-01  1.000E+00  2.5000E+02
#  17  8.940E-01  8.465E-01  8.220E-01  4.2785E+02
#  18  4.765E-01  7.190E-01  6.730E-01  3.0180E+02
#  19  8.250E-02  8.725E-01  8.510E-01  2.7395E+02
#  20  5.000E-01  1.000E+00  1.000E+00  4.0000E+02
#  21  1.000E+00  0.000E+00  0.000E+00  2.0000E+02
#  22  0.000E+00  0.000E+00  0.000E+00  0.0000E+00
#  23  8.260E-01  2.880E-01  2.880E-01  2.5160E+02
#  24  2.490E-01  3.420E-01  1.920E-01  1.2240E+02
#  25  1.000E+00  0.000E+00  5.000E-01  3.0000E+02
#  26  5.000E-01  0.000E+00  0.000E+00  1.0000E+02
#  27  0.000E+00  0.000E+00  5.000E-01  1.0000E+02
#  28  9.130E-01  1.440E-01  1.440E-01  2.2580E+02
#  29  1.245E-01  1.710E-01  9.600E-02  6.1200E+01
#  30  7.515E-01  2.965E-01  4.855E-01  2.7705E+02
#  31  5.375E-01  3.150E-01  2.400E-01  1.8700E+02
#  32  2.845E-01  2.640E-01  4.175E-01  1.6680E+02
#  33  2.730E-01  7.500E-01  2.300E-01  1.7560E+02
#  34  0.000E+00  1.000E+00  0.000E+00  1.0000E+02
#  35  2.610E-01  5.460E-01  2.110E-01  1.4900E+02
#  36  0.000E+00  5.000E-01  0.000E+00  5.0000E+01
#  37  2.190E-01  7.475E-01  4.660E-01  2.1175E+02
#  38  1.365E-01  8.750E-01  1.150E-01  1.3780E+02
#  39  0.000E+00  1.000E+00  5.000E-01  2.0000E+02
#  40  8.500E-01  6.490E-01  2.630E-01  2.8750E+02
#  41  8.380E-01  4.685E-01  2.755E-01  2.6955E+02
#  42  8.190E-01  6.710E-01  4.535E-01  3.2160E+02
#  43  5.615E-01  6.995E-01  2.465E-01  2.3155E+02
#  44  1.000E+00  1.000E+00  0.000E+00  3.0000E+02
#  45  1.000E+00  5.000E-01  0.000E+00  2.5000E+02
#  46  1.000E+00  1.000E+00  5.000E-01  4.0000E+02
#  47  9.250E-01  8.245E-01  1.315E-01  2.9375E+02
#  48  5.000E-01  1.000E+00  0.000E+00  2.0000E+02


[Mesh]#Comment
  file = heat_conduction_patch_hex20.e
[] # Mesh

[Functions]
  [./temp_function]
    type = ParsedFunction
    expression ='200*x+100*y+200*z'
  [../]
[] # Functions

[Variables]

  [./temp]
    order = SECOND
    family = LAGRANGE
  [../]

[] # Variables

[Kernels]

  [./heat_r]
    type = AnisoHeatConduction
    variable = temp
  [../]

[] # Kernels

[BCs]

  [./temperatures]
    type = FunctionDirichletBC
    variable = temp
    boundary = 10
    function = temp_function
  [../]

[] # BCs

[Materials]

  [./heat]
    type = AnisoHeatConductionMaterial
    block = 1
    specific_heat = 0.116
    thermal_conductivity = '4.85e-4 0 0 0 4.85e-4 0 0 0 4.85e-4'
    temperature = temp
  [../]

[] # Materials

[Executioner]

  type = Steady

  #Preconditioned JFNK (default)
  solve_type = 'PJFNK'

  petsc_options_iname = '-pc_type -ksp_gmres_restart'
  petsc_options_value = 'lu       101'

  line_search = 'none'

  nl_abs_tol = 1e-11
  nl_rel_tol = 1e-10

  l_max_its = 20

  [./Quadrature]
    order = THIRD
  [../]

[] # Executioner

[Outputs]
  file_base = heat_conduction_patch_hex20_out
  exodus = true
[] # Output

(test/tests/geomsearch/2d_moving_penetration/pl_test4qns.i)

[GlobalParams]
  order = SECOND
  family = LAGRANGE
[]

[Mesh]
  file = pl_test4q.e
  displacements = 'disp_x disp_y'
[]

[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
[]

[AuxVariables]
  [./distance]
  [../]
  [./tangential_distance]
  [../]
  [./normal_x]
  [../]
  [./normal_y]
  [../]
  [./closest_point_x]
  [../]
  [./closest_point_y]
  [../]
  [./element_id]
  [../]
  [./side]
  [../]
[]

[Kernels]
  [./diff_x]
    type = Diffusion
    variable = disp_x
  [../]
  [./diff_y]
    type = Diffusion
    variable = disp_y
  [../]
[]

[AuxKernels]
  [./penetrate]
    type = PenetrationAux
    variable = distance
    boundary = 11            #secondary
    paired_boundary = 12     #primary
    normal_smoothing_distance = 0.2
  [../]

  [./penetrate2]
    type = PenetrationAux
    variable = distance
    boundary = 12            #secondary
    paired_boundary = 11     #primary
    normal_smoothing_distance = 0.2
  [../]

  [./penetrate3]
    type = PenetrationAux
    variable = tangential_distance
    boundary = 11
    paired_boundary = 12
    quantity = tangential_distance
  [../]

  [./penetrate4]
    type = PenetrationAux
    variable = tangential_distance
    boundary = 12
    paired_boundary = 11
    quantity = tangential_distance
  [../]

  [./penetrate5]
    type = PenetrationAux
    variable = normal_x
    boundary = 11
    paired_boundary = 12
    quantity = normal_x
  [../]

  [./penetrate6]
    type = PenetrationAux
    variable = normal_x
    boundary = 12
    paired_boundary = 11
    quantity = normal_x
  [../]

  [./penetrate7]
    type = PenetrationAux
    variable = normal_y
    boundary = 11
    paired_boundary = 12
    quantity = normal_y
  [../]

  [./penetrate8]
    type = PenetrationAux
    variable = normal_y
    boundary = 12
    paired_boundary = 11
    quantity = normal_y
  [../]

  [./penetrate9]
    type = PenetrationAux
    variable = closest_point_x
    boundary = 11
    paired_boundary = 12
    quantity = closest_point_x
  [../]

  [./penetrate10]
    type = PenetrationAux
    variable = closest_point_x
    boundary = 12
    paired_boundary = 11
    quantity = closest_point_x
  [../]

  [./penetrate11]
    type = PenetrationAux
    variable = closest_point_y
    boundary = 11
    paired_boundary = 12
    quantity = closest_point_y
  [../]

  [./penetrate12]
    type = PenetrationAux
    variable = closest_point_y
    boundary = 12
    paired_boundary = 11
    quantity = closest_point_y
  [../]

  [./penetrate13]
    type = PenetrationAux
    variable = element_id
    boundary = 11
    paired_boundary = 12
    quantity = element_id
  [../]

  [./penetrate14]
    type = PenetrationAux
    variable = element_id
    boundary = 12
    paired_boundary = 11
    quantity = element_id
  [../]

  [./penetrate15]
    type = PenetrationAux
    variable = side
    boundary = 11
    paired_boundary = 12
    quantity = side
  [../]

  [./penetrate16]
    type = PenetrationAux
    variable = side
    boundary = 12
    paired_boundary = 11
    quantity = side
  [../]
[]

[BCs]
  [./b1x]
    type = DirichletBC
    variable = disp_x
    boundary = 1
    value = 0
  [../]

  [./b1y]
    type = DirichletBC
    variable = disp_y
    boundary = 1
    value = 0
  [../]

  [./b2x]
    type = DirichletBC
    variable = disp_x
    boundary = 2
    value = 0
  [../]

  [./b2y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 2
    function = disp_y
  [../]
[]

[Functions]
  [./disp_y]
    type = PiecewiseLinear
    x = '0.0 0.25 0.75 1.0'
    y = '0.0 2.0 -2.0  0.0'
  [../]
[]

[Executioner]
  type = Transient

  solve_type = 'PJFNK'
  petsc_options = '-snes_ksp_ew'

  nl_rel_tol = 1.e-9
  l_max_its = 10

  start_time = 0.0
  dt = 0.02
  end_time = 1.0
  [./Quadrature]
    order = THIRD
  [../]
[]

[Outputs]
  file_base = pl_test4qns_out
  exodus = true
[]

(modules/contact/test/tests/nodal_area/nodal_area_Hex20_3.i)

[Mesh]
  file = nodal_area_Hex20.e
[]

[GlobalParams]
  order = SECOND
  displacements = 'displ_x displ_y displ_z'
[]

[Functions]
  [./disp]
    type = PiecewiseLinear
    x = '0     1'
    y = '0  20e-6'
  [../]
[]

[Variables]
  [./displ_x]
  [../]
  [./displ_y]
  [../]
  [./displ_z]
  [../]
[]

[AuxVariables]
  [./react_x]
  [../]
  [./react_y]
  [../]
  [./react_z]
  [../]
[]

[Physics/SolidMechanics/QuasiStatic]
  [./all]
    incremental = true
    save_in = 'react_x react_y react_z'
    add_variables = true
    strain = FINITE
    generate_output = 'stress_xx'
  [../]
[]

[BCs]
  [./move_right]
    type = FunctionDirichletBC
    boundary = '1'
    variable = displ_x
    function = disp
  [../]

  [./fixed_x]
    type = DirichletBC
    boundary = '3 4'
    variable = displ_x
    value = 0
  [../]

  [./fixed_y]
    type = DirichletBC
    boundary = 10
    variable = displ_y
    value = 0
  [../]

  [./fixed_z]
    type = DirichletBC
    boundary = 11
    variable = displ_z
    value = 0
  [../]
[]

[Contact]
  [./dummy_name]
    primary = 3
    secondary = 2
    formulation = penalty
    penalty = 1e9
    tangential_tolerance = 1e-5
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeIsotropicElasticityTensor
    block = '1 2'
    youngs_modulus = 1e6
    poissons_ratio = 0.0
  [../]

  [./stress]
    type = ComputeFiniteStrainElasticStress
    block = '1 2'
  [../]
[]

[Executioner]
  type = Transient
  solve_type = 'PJFNK'

  petsc_options_iname = '-ksp_gmres_restart -pc_type -pc_hypre_type -pc_hypre_boomeramg_max_iter'
  petsc_options_value = '201                hypre    boomeramg      4'

  line_search = 'none'
  nl_rel_tol = 1e-7
  l_tol = 1e-4
  l_max_its = 40
  nl_max_its = 10

  start_time = 0.0
  dt = 1.0
  dtmin = 1.0
  end_time = 1.0

  [./Quadrature]
    order = THIRD
  [../]
[]

[Postprocessors]
  [./react_x]
    type = NodalSum
    variable = react_x
    boundary = 1
  [../]
  [./total_area]
    type = NodalSum
    variable = nodal_area
    boundary = 2
  [../]
[]

[Outputs]
  exodus = true
[]

(modules/contact/test/tests/3d-mortar-contact/frictional-mortar-3d_pg.i)

starting_point = 0.25
offset = 0.00

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
  volumetric_locking_correction = true
[]

[AuxVariables]
  [mortar_tangent_x]
    family = LAGRANGE
    order = FIRST
  []
  [mortar_tangent_y]
    family = LAGRANGE
    order = FIRST
  []
  [mortar_tangent_z]
    family = LAGRANGE
    order = FIRST
  []
  [aux_lm]
    block = 'secondary_lower'
    use_dual = false
  []
[]

[AuxKernels]
  [friction_x_component]
   type = MortarFrictionalPressureVectorAux
   primary_boundary = 'bottom_top'
   secondary_boundary = 'top_bottom'
   tangent_one = mortar_tangential_lm
   tangent_two = mortar_tangential_3d_lm
   variable = mortar_tangent_x
   component = 0
   boundary = 'top_bottom'
  []
  [friction_y_component]
   type = MortarFrictionalPressureVectorAux
   primary_boundary = 'bottom_top'
   secondary_boundary = 'top_bottom'
   tangent_one = mortar_tangential_lm
   tangent_two = mortar_tangential_3d_lm
   variable = mortar_tangent_y
   component = 1
   boundary = 'top_bottom'
  []
  [friction_z_component]
   type = MortarFrictionalPressureVectorAux
   primary_boundary = 'bottom_top'
   secondary_boundary = 'top_bottom'
   tangent_one = mortar_tangential_lm
   tangent_two = mortar_tangential_3d_lm
   variable = mortar_tangent_z
   component = 2
   boundary = 'top_bottom'
  []
[]

[Mesh]
  [top_block]
    type = GeneratedMeshGenerator
    dim = 3
    nx = 3
    ny = 3
    nz = 3
    xmin = -0.25
    xmax = 0.25
    ymin = -0.25
    ymax = 0.25
    zmin = -0.25
    zmax = 0.25
    elem_type = HEX8
  []
  [rotate_top_block]
    type = TransformGenerator
    input = top_block
    transform = ROTATE
    vector_value = '0 0 0'
  []
  [top_block_sidesets]
    type = RenameBoundaryGenerator
    input = rotate_top_block
    old_boundary = '0 1 2 3 4 5'
    new_boundary = 'top_bottom top_back top_right top_front top_left top_top'
  []
  [top_block_id]
    type = SubdomainIDGenerator
    input = top_block_sidesets
    subdomain_id = 1
  []
  [bottom_block]
    type = GeneratedMeshGenerator
    dim = 3
    nx = 10
    ny = 10
    nz = 2
    xmin = -.5
    xmax = .5
    ymin = -.5
    ymax = .5
    zmin = -.3
    zmax = -.25
    elem_type = HEX8
  []
  [bottom_block_id]
    type = SubdomainIDGenerator
    input = bottom_block
    subdomain_id = 2
  []
  [bottom_block_change_boundary_id]
    type = RenameBoundaryGenerator
    input = bottom_block_id
    old_boundary = '0 1 2 3 4 5'
    new_boundary = '100 101 102 103 104 105'
  []
  [combined]
    type = MeshCollectionGenerator
    inputs = 'top_block_id bottom_block_change_boundary_id'
  []
  [block_rename]
    type = RenameBlockGenerator
    input = combined
    old_block = '1 2'
    new_block = 'top_block bottom_block'
  []
  [bottom_right_sideset]
    type = SideSetsAroundSubdomainGenerator
    input = block_rename
    new_boundary = bottom_right
    block = bottom_block
    normal = '1 0 0'
  []
  [bottom_left_sideset]
    type = SideSetsAroundSubdomainGenerator
    input = bottom_right_sideset
    new_boundary = bottom_left
    block = bottom_block
    normal = '-1 0 0'
  []
  [bottom_top_sideset]
    type = SideSetsAroundSubdomainGenerator
    input = bottom_left_sideset
    new_boundary = bottom_top
    block = bottom_block
    normal = '0 0 1'
  []
  [bottom_bottom_sideset]
    type = SideSetsAroundSubdomainGenerator
    input = bottom_top_sideset
    new_boundary = bottom_bottom
    block = bottom_block
    normal = '0  0 -1'
  []
  [bottom_front_sideset]
    type = SideSetsAroundSubdomainGenerator
    input = bottom_bottom_sideset
    new_boundary = bottom_front
    block = bottom_block
    normal = '0 1 0'
  []
  [bottom_back_sideset]
    type = SideSetsAroundSubdomainGenerator
    input = bottom_front_sideset
    new_boundary = bottom_back
    block = bottom_block
    normal = '0 -1 0'
  []
  [secondary]
    input = bottom_back_sideset
    type = LowerDBlockFromSidesetGenerator
    sidesets = 'top_bottom' # top_back top_left'
    new_block_id = '10001'
    new_block_name = 'secondary_lower'
  []
  [primary]
    input = secondary
    type = LowerDBlockFromSidesetGenerator
    sidesets = 'bottom_top'
    new_block_id = '10000'
    new_block_name = 'primary_lower'
  []
  uniform_refine = 0
  allow_renumbering = false
[]

[Variables]
  [mortar_normal_lm]
    block = 'secondary_lower'
    use_dual = true
  []
  [mortar_tangential_lm]
    block = 'secondary_lower'
    use_dual = true
  []
  [mortar_tangential_3d_lm]
    block = 'secondary_lower'
    use_dual = true
  []
[]

[Physics/SolidMechanics/QuasiStatic]
  [all]
    add_variables = true
    strain = FINITE
    block = '1 2'
    use_automatic_differentiation = false
    generate_output = 'stress_xx stress_xy stress_xz stress_yy stress_zz'
  []
[]

[Materials]
  [tensor]
    type = ComputeIsotropicElasticityTensor
    block = '1'
    youngs_modulus = 1.0e4
    poissons_ratio = 0.0
  []
  [stress]
    type = ComputeFiniteStrainElasticStress
    block = '1'
  []

  [tensor_1000]
    type = ComputeIsotropicElasticityTensor
    block = '2'
    youngs_modulus = 1e5
    poissons_ratio = 0.0
  []
  [stress_1000]
    type = ComputeFiniteStrainElasticStress
    block = '2'
  []
[]

[UserObjects]
  [weighted_vel_uo]
    type = LMWeightedVelocitiesUserObject
    primary_boundary = 'bottom_top'
    secondary_boundary = 'top_bottom'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    lm_variable_normal = mortar_normal_lm
    lm_variable_tangential_one = mortar_tangential_lm
    lm_variable_tangential_two = mortar_tangential_3d_lm
    secondary_variable = disp_x
    disp_x = disp_x
    disp_y = disp_y
    disp_z = disp_z
    use_petrov_galerkin = true
    aux_lm = aux_lm
  []
[]

[Constraints]
  [friction]
    type = ComputeFrictionalForceLMMechanicalContact
    primary_boundary = 'bottom_top'
    secondary_boundary = 'top_bottom'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    variable = mortar_normal_lm
    disp_x = disp_x
    disp_y = disp_y
    disp_z = disp_z
    use_displaced_mesh = true
    mu = 0.4
    c = 1e4
    c_t = 1.0e4
    friction_lm = mortar_tangential_lm
    friction_lm_dir = mortar_tangential_3d_lm
    weighted_gap_uo = weighted_vel_uo
    weighted_velocities_uo = weighted_vel_uo
  []
  [normal_x]
    type = NormalMortarMechanicalContact
    primary_boundary = 'bottom_top'
    secondary_boundary = 'top_bottom'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    variable = mortar_normal_lm
    secondary_variable = disp_x
    component = x
    use_displaced_mesh = true
    compute_lm_residuals = false
    weighted_gap_uo = weighted_vel_uo
  []
  [normal_y]
    type = NormalMortarMechanicalContact
    primary_boundary = 'bottom_top'
    secondary_boundary = 'top_bottom'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    variable = mortar_normal_lm
    secondary_variable = disp_y
    component = y
    use_displaced_mesh = true
    compute_lm_residuals = false
    weighted_gap_uo = weighted_vel_uo
  []
  [normal_z]
    type = NormalMortarMechanicalContact
    primary_boundary = 'bottom_top'
    secondary_boundary = 'top_bottom'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    variable = mortar_normal_lm
    secondary_variable = disp_z
    component = z
    use_displaced_mesh = true
    compute_lm_residuals = false
    weighted_gap_uo = weighted_vel_uo
  []
  [tangential_x]
    type = TangentialMortarMechanicalContact
    primary_boundary = 'bottom_top'
    secondary_boundary = 'top_bottom'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    variable = mortar_tangential_lm
    secondary_variable = disp_x
    component = x
    use_displaced_mesh = true
    compute_lm_residuals = false
    weighted_velocities_uo = weighted_vel_uo
  []
  [tangential_y]
    type = TangentialMortarMechanicalContact
    primary_boundary = 'bottom_top'
    secondary_boundary = 'top_bottom'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    variable = mortar_tangential_lm
    secondary_variable = disp_y
    component = y
    use_displaced_mesh = true
    compute_lm_residuals = false
    weighted_velocities_uo = weighted_vel_uo
  []
  [tangential_z]
    type = TangentialMortarMechanicalContact
    primary_boundary = 'bottom_top'
    secondary_boundary = 'top_bottom'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    variable = mortar_tangential_lm
    secondary_variable = disp_z
    component = z
    use_displaced_mesh = true
    compute_lm_residuals = false
    weighted_velocities_uo = weighted_vel_uo
  []
  [tangential_dir_x]
    type = TangentialMortarMechanicalContact
    primary_boundary = 'bottom_top'
    secondary_boundary = 'top_bottom'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    variable = mortar_tangential_3d_lm
    secondary_variable = disp_x
    component = x
    direction = direction_2
    use_displaced_mesh = true
    compute_lm_residuals = false
    weighted_velocities_uo = weighted_vel_uo
  []
  [tangential_dir_y]
    type = TangentialMortarMechanicalContact
    primary_boundary = 'bottom_top'
    secondary_boundary = 'top_bottom'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    variable = mortar_tangential_3d_lm
    secondary_variable = disp_y
    component = y
    direction = direction_2
    use_displaced_mesh = true
    compute_lm_residuals = false
    weighted_velocities_uo = weighted_vel_uo
  []
  [tangential_dir_z]
    type = TangentialMortarMechanicalContact
    primary_boundary = 'bottom_top'
    secondary_boundary = 'top_bottom'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    variable = mortar_tangential_3d_lm
    secondary_variable = disp_z
    component = z
    direction = direction_2
    use_displaced_mesh = true
    compute_lm_residuals = false
    weighted_velocities_uo = weighted_vel_uo
  []
[]

[BCs]
  [botx]
    type = DirichletBC
    variable = disp_x
    boundary = 'bottom_left bottom_right bottom_front bottom_back'
    value = 0.0
  []
  [boty]
    type = DirichletBC
    variable = disp_y
    boundary = 'bottom_left bottom_right bottom_front bottom_back'
    value = 0.0
  []
  [botz]
    type = DirichletBC
    variable = disp_z
    boundary = 'bottom_left bottom_right bottom_front bottom_back'
    value = 0.0
  []
  [topx]
    type = DirichletBC
    variable = disp_x
    boundary = 'top_top'
    value = 0.0
  []
  [topy]
    type = DirichletBC
    variable = disp_y
    boundary = 'top_top'
    value = 0.0
  []
  [topz]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'top_top'
    function = '-${starting_point} * sin(2 * pi / 40 * t) + ${offset}'
  []
[]

[Executioner]
  type = Transient
  end_time = .025
  dt = .025
  dtmin = .001
  solve_type = 'PJFNK'
  petsc_options = '-snes_converged_reason -ksp_converged_reason -snes_ksp_ew'
  petsc_options_iname = '-pc_type -pc_factor_mat_solver_type -pc_factor_shift_type -pc_factor_shift_amount -mat_mffd_err'
  petsc_options_value = 'lu       superlu_dist                  NONZERO               1e-14                  1e-5'
  l_max_its = 15
  nl_max_its = 30
  nl_rel_tol = 1e-11
  nl_abs_tol = 1e-12
  line_search = 'basic'
[]

[Debug]
  show_var_residual_norms = true
[]

[Outputs]
  exodus = true
  csv = true
[]

[Preconditioning]
  [smp]
    type = SMP
    full = true
  []
[]

[Postprocessors]
  active = 'contact'
  [contact]
    type = ContactDOFSetSize
    variable = mortar_normal_lm
    subdomain = 'secondary_lower'
    execute_on = 'nonlinear timestep_end'
  []
[]

[VectorPostprocessors]
  [contact-pressure]
    type = NodalValueSampler
    block = secondary_lower
    variable = mortar_normal_lm
    sort_by = 'id'
    execute_on = NONLINEAR
  []
  [frictional-pressure]
    type = NodalValueSampler
    block = secondary_lower
    variable = mortar_tangential_lm
    sort_by = 'id'
    execute_on = NONLINEAR
  []
  [frictional-pressure-3d]
    type = NodalValueSampler
    block = secondary_lower
    variable = mortar_tangential_3d_lm
    sort_by = 'id'
    execute_on = NONLINEAR
  []
  [tangent_x]
    type = NodalValueSampler
    block = secondary_lower
    variable = mortar_tangent_x
    sort_by = 'id'
    execute_on = NONLINEAR
  []
  [tangent_y]
    type = NodalValueSampler
    block = secondary_lower
    variable = mortar_tangent_y
    sort_by = 'id'
    execute_on = NONLINEAR
  []
[]

(modules/combined/test/tests/internal_volume/rz_displaced_quad8.i)

#
# Volume Test
#
# This test is designed to compute the volume of a space when displacements
#   are imposed.
#
# The mesh is composed of one block (1) with two elements.  The mesh is
#   such that the initial volume is 1.  One element face is displaced to
#   produce a final volume of 2.
#
#     r1
#   +----+   -
#   |    |   |
#   +----+   h    V1 = pi * h * r1^2
#   |    |   |
#   +----+   -
#
#   becomes
#
#   +----+
#   |     \
#   +------+      v2 = pi * h/2 * ( r2^2 + 1/3 * ( r2^2 + r2*r1 + r1^2 ) )
#   |      |
#   +------+
#      r2
#
#   r1 = 1
#   r2 = 1.5380168369562588
#   h  = 1/pi
#
#  Note:  Because the InternalVolume PP computes cavity volumes as positive,
#         the volumes reported are negative.
#

[GlobalParams]
  displacements = 'disp_x disp_y'
[]

[Problem]
  coord_type = RZ
[]

[Mesh]
  file = meshes/rz_displaced_quad8.e
  displacements = 'disp_x disp_y'
[]

[Functions]
  [./disp_x]
    type = PiecewiseLinear
    x = '0. 1.'
    y = '0. 0.5380168369562588'
  [../]
  [./disp_x2]
    type = PiecewiseLinear
    scale_factor = 0.5
    x = '0. 1.'
    y = '0. 0.5380168369562588'
  [../]
[]

[Variables]
  [./disp_x]
    order = SECOND
    family = LAGRANGE
  [../]

  [./disp_y]
    order = SECOND
    family = LAGRANGE
  [../]
[]

[Physics/SolidMechanics/QuasiStatic]
  [./all]
    volumetric_locking_correction = false
    decomposition_method = EigenSolution
    incremental = true
    strain = FINITE
  [../]
[]

[BCs]
  [./no_x]
    type = DirichletBC
    variable = disp_x
    boundary = 1
    value = 0.0
  [../]

  [./no_y]
    type = DirichletBC
    variable = disp_y
    boundary = 2
    value = 0.0
  [../]

  [./x]
    type = FunctionDirichletBC
    boundary = 3
    variable = disp_x
    function = disp_x
  [../]
  [./x2]
    type = FunctionDirichletBC
    boundary = 4
    variable = disp_x
    function = disp_x2
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeIsotropicElasticityTensor
    youngs_modulus = 1e6
    poissons_ratio = 0.3
  [../]

  [./stress]
    type = ComputeFiniteStrainElasticStress
  [../]
[]

[Executioner]
  type = Transient
  solve_type = PJFNK

  start_time = 0.0
  dt = 1.0
  end_time = 1.0

  [./Quadrature]
    order = THIRD
  [../]
[]

[Postprocessors]
  [./internalVolume]
    type = InternalVolume
    boundary = 2
    execute_on = 'initial timestep_end'
  [../]
[]

[Outputs]
  csv = true
[]

(modules/porous_flow/test/tests/hysteresis/hys_sat_03.i)

# 1-phase hysteresis.  Saturation calculation.  Primary drying curve with low_extension_type = exponential
# When comparing the results with a by-hand computation, remember the MOOSE results are averaged over an element
[Mesh]
  [mesh]
    type = GeneratedMeshGenerator
    dim = 1
    xmin = 0
    xmax = 10
    nx = 100
  []
[]

[GlobalParams]
  PorousFlowDictator = dictator
[]

[UserObjects]
  [dictator]
    type = PorousFlowDictator
    number_fluid_phases = 1
    number_fluid_components = 1
    porous_flow_vars = pp
  []
[]

[Variables]
  [pp]
  []
[]

[ICs]
  [pp]
    type = FunctionIC
    variable = pp
    function = '1 - 2 * x'
  []
[]

[BCs]
  [pp]
    type = FunctionDirichletBC
    variable = pp
    function = '1 - 2 * x'
    boundary = 'left right'
  []
[]

[Kernels]
  [dummy]
    type = Diffusion
    variable = pp
  []
[]

[Materials]
  [hys_order]
    type = PorousFlowHysteresisOrder
  []
  [saturation_calculator]
    type = PorousFlow1PhaseHysP
    alpha_d = 10.0
    alpha_w = 10.0
    n_d = 1.1
    n_w = 1.9
    S_l_min = 0.1
    S_lr = 0.2
    S_gr_max = 0.3
    Pc_max = 7.0
    low_extension_type = exponential
    porepressure = pp
  []
[]

[AuxVariables]
  [hys_order]
    family = MONOMIAL
    order = CONSTANT
  []
  [saturation]
    family = MONOMIAL
    order = CONSTANT
  []
[]

[AuxKernels]
  [hys_order]
    type = PorousFlowPropertyAux
    variable = hys_order
    property = hysteresis_order
  []
  [saturation]
    type = PorousFlowPropertyAux
    variable = saturation
    property = saturation
    phase = 0
  []
[]

[VectorPostprocessors]
  [sat]
    type = LineValueSampler
    warn_discontinuous_face_values = false
    start_point = '0.5 0 0'
    end_point = '9.5 0 0'
    num_points = 10
    sort_by = x
    variable = 'saturation pp'
  []
[]

[Executioner]
  type = Transient
  solve_type = Linear
  dt = 1
  end_time = 1
[]

[Outputs]
  csv = true
[]

(modules/solid_mechanics/test/tests/capped_weak_plane/small_deform4.i)

# Plastic deformation, compression failure
# With Young = 10, poisson=0.25 (Lame lambda=4, mu=4)
# applying the following
# deformation to the zmax surface of a unit cube:
# disp_x = 4*t
# disp_y = 3*t
# disp_z = -t
# should yield trial stress:
# stress_zz = 12*t
# stress_zx = 16*t
# stress_zy = -12*t
# Use compressive strength = 6, we should return to stress_zz = -6,
# and stress_xx = stress_yy = -2*t up to t=1 when the system is completely
# plastic, so these stress components will not change
[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]
[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]

[Physics/SolidMechanics/QuasiStatic]
  [./all]
    add_variables = true
    incremental = true
    generate_output = 'stress_xx stress_xy stress_xz stress_yy stress_yz stress_zz plastic_strain_xx plastic_strain_xy plastic_strain_xz plastic_strain_yy plastic_strain_yz plastic_strain_zz strain_xx strain_xy strain_xz strain_yy strain_yz strain_zz'
  [../]
[]

[BCs]
  [./bottomx]
    type = DirichletBC
    variable = disp_x
    boundary = back
    value = 0.0
  [../]
  [./bottomy]
    type = DirichletBC
    variable = disp_y
    boundary = back
    value = 0.0
  [../]
  [./bottomz]
    type = DirichletBC
    variable = disp_z
    boundary = back
    value = 0.0
  [../]

  [./topx]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = front
    function = 4*t
  [../]
  [./topy]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = front
    function = 3*t
  [../]
  [./topz]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = front
    function = -t
  [../]
[]

[AuxVariables]
  [./f_shear]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f_tensile]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f_compressive]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./intnl_shear]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./intnl_tensile]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./iter]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./ls]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]

[AuxKernels]
  [./f_shear]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 0
    variable = f_shear
  [../]
  [./f_tensile]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 1
    variable = f_tensile
  [../]
  [./f_compressive]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 2
    variable = f_compressive
  [../]
  [./intnl_shear]
    type = MaterialStdVectorAux
    property = plastic_internal_parameter
    index = 0
    variable = intnl_shear
  [../]
  [./intnl_tensile]
    type = MaterialStdVectorAux
    property = plastic_internal_parameter
    index = 1
    variable = intnl_tensile
  [../]
  [./iter]
    type = MaterialRealAux
    property = plastic_NR_iterations
    variable = iter
  [../]
  [./ls]
    type = MaterialRealAux
    property = plastic_linesearch_needed
    variable = ls
  [../]
[]

[Postprocessors]
  [./stress_xx]
    type = PointValue
    point = '0 0 0'
    variable = stress_xx
  [../]
  [./stress_xy]
    type = PointValue
    point = '0 0 0'
    variable = stress_xy
  [../]
  [./stress_xz]
    type = PointValue
    point = '0 0 0'
    variable = stress_xz
  [../]
  [./stress_yy]
    type = PointValue
    point = '0 0 0'
    variable = stress_yy
  [../]
  [./stress_yz]
    type = PointValue
    point = '0 0 0'
    variable = stress_yz
  [../]
  [./stress_zz]
    type = PointValue
    point = '0 0 0'
    variable = stress_zz
  [../]
  [./strainp_xx]
    type = PointValue
    point = '0 0 0'
    variable = plastic_strain_xx
  [../]
  [./strainp_xy]
    type = PointValue
    point = '0 0 0'
    variable = plastic_strain_xy
  [../]
  [./strainp_xz]
    type = PointValue
    point = '0 0 0'
    variable = plastic_strain_xz
  [../]
  [./strainp_yy]
    type = PointValue
    point = '0 0 0'
    variable = plastic_strain_yy
  [../]
  [./strainp_yz]
    type = PointValue
    point = '0 0 0'
    variable = plastic_strain_yz
  [../]
  [./strainp_zz]
    type = PointValue
    point = '0 0 0'
    variable = plastic_strain_zz
  [../]
  [./straint_xx]
    type = PointValue
    point = '0 0 0'
    variable = strain_xx
  [../]
  [./straint_xy]
    type = PointValue
    point = '0 0 0'
    variable = strain_xy
  [../]
  [./straint_xz]
    type = PointValue
    point = '0 0 0'
    variable = strain_xz
  [../]
  [./straint_yy]
    type = PointValue
    point = '0 0 0'
    variable = strain_yy
  [../]
  [./straint_yz]
    type = PointValue
    point = '0 0 0'
    variable = strain_yz
  [../]
  [./straint_zz]
    type = PointValue
    point = '0 0 0'
    variable = strain_zz
  [../]
  [./f_shear]
    type = PointValue
    point = '0 0 0'
    variable = f_shear
  [../]
  [./f_tensile]
    type = PointValue
    point = '0 0 0'
    variable = f_tensile
  [../]
  [./f_compressive]
    type = PointValue
    point = '0 0 0'
    variable = f_compressive
  [../]
  [./intnl_shear]
    type = PointValue
    point = '0 0 0'
    variable = intnl_shear
  [../]
  [./intnl_tensile]
    type = PointValue
    point = '0 0 0'
    variable = intnl_tensile
  [../]
  [./iter]
    type = PointValue
    point = '0 0 0'
    variable = iter
  [../]
  [./ls]
    type = PointValue
    point = '0 0 0'
    variable = ls
  [../]
[]


[UserObjects]
  [./coh]
    type = SolidMechanicsHardeningConstant
    value = 80
  [../]
  [./tanphi]
    type = SolidMechanicsHardeningConstant
    value = 0.5
  [../]
  [./tanpsi]
    type = SolidMechanicsHardeningConstant
    value = 0.1111077
  [../]
  [./t_strength]
    type = SolidMechanicsHardeningConstant
    value = 6
  [../]
  [./c_strength]
    type = SolidMechanicsHardeningConstant
    value = 6
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    fill_method = symmetric_isotropic
    C_ijkl = '4 4'
  [../]
  [./admissible]
    type = ComputeMultipleInelasticStress
    inelastic_models = stress
    perform_finite_strain_rotations = false
  [../]
  [./stress]
    type = CappedWeakPlaneStressUpdate
    cohesion = coh
    tan_friction_angle = tanphi
    tan_dilation_angle = tanpsi
    tensile_strength = t_strength
    compressive_strength = c_strength
    tip_smoother = 0
    smoothing_tol = 0
    yield_function_tol = 1E-5
  [../]
[]

[Executioner]
  end_time = 2
  dt = 1
  type = Transient
[]

[Outputs]
  file_base = small_deform4
  csv = true
[]

(test/tests/misc/check_error/uo_vector_pps_name_collision_test.i)

[Mesh]
  type = GeneratedMesh
  dim = 2
  xmin = 0
  xmax = 1
  ymin = 0
  ymax = 1
  nx = 5
  ny = 5
  elem_type = QUAD4
[]

[UserObjects]
  [./ud]
    type = MTUserObject
    scalar = 2
    vector = '9 7 5'
  [../]
[]

[Functions]
  [./forcing_fn]
    type = ParsedFunction
    expression = -2
  [../]

  [./exact_fn]
    type = ParsedFunction
    expression = x*x
  [../]
[]

[Variables]
  [./u]
    family = LAGRANGE
    order = FIRST
  [../]
[]

[Kernels]
  [./diff]
    type = Diffusion
    variable = u
  [../]
  [./ffn]
    type = UserObjectKernel
    variable = u
    user_object = ud
  []
[]

[BCs]
  [./all]
    type = FunctionDirichletBC
    variable = u
    function = exact_fn
    boundary = '0 1 2 3'
  [../]
[]

[Executioner]
  type = Steady
  solve_type = 'PJFNK'
[]

[VectorPostprocessors]
  [./ud]
    type = ConstantVectorPostprocessor
    value = 1
  []
[]

[Outputs]
  execute_on = 'timestep_end'
  file_base = out
[]

(modules/solid_mechanics/test/tests/tensile/planar8.i)

# A single unit element is stretched by (0.5, 0.4, 0.3)E-6m
# with Lame lambda = 0.6E6 and Lame mu (shear) = 1E6
# stress_xx = 1.72 Pa
# stress_yy = 1.52 Pa
# stress_zz = 1.32 Pa
# tensile_strength is set to 1.3Pa hardening to 2Pa over intnl=1E-6
#
# The return should be to the edge (the algorithm will first try the tip) with
# according to mathematica
# internal = 1.67234152669E-7
# stress_xx = stress_yy = 1.3522482794
# stress_zz = 1.2195929084

[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]

[Physics/SolidMechanics/QuasiStatic]
  [./all]
    add_variables = true
    incremental = true
    strain = finite
    generate_output = 'stress_xx stress_xy stress_xz stress_yy stress_yz stress_zz'
  [../]
[]

[BCs]
  [./x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'front back'
    function = '0.5E-6*x'
  [../]
  [./y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'front back'
    function = '0.4E-6*y'
  [../]
  [./z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'front back'
    function = '0.3E-6*z'
  [../]
[]

[AuxVariables]
  [./f0]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f1]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f2]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./iter]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./intnl]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]

[AuxKernels]
  [./f0_auxk]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 0
    variable = f0
  [../]
  [./f1_auxk]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 1
    variable = f1
  [../]
  [./f2_auxk]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 2
    variable = f2
  [../]
  [./iter]
    type = MaterialRealAux
    property = plastic_NR_iterations
    variable = iter
  [../]
  [./intnl_auxk]
    type = MaterialStdVectorAux
    property = plastic_internal_parameter
    index = 0
    variable = intnl
  [../]
[]

[Postprocessors]
  [./s_xx]
    type = PointValue
    point = '0 0 0'
    variable = stress_xx
  [../]
  [./s_xy]
    type = PointValue
    point = '0 0 0'
    variable = stress_xy
  [../]
  [./s_xz]
    type = PointValue
    point = '0 0 0'
    variable = stress_xz
  [../]
  [./s_yy]
    type = PointValue
    point = '0 0 0'
    variable = stress_yy
  [../]
  [./s_yz]
    type = PointValue
    point = '0 0 0'
    variable = stress_yz
  [../]
  [./s_zz]
    type = PointValue
    point = '0 0 0'
    variable = stress_zz
  [../]
  [./f0]
    type = PointValue
    point = '0 0 0'
    variable = f0
  [../]
  [./f1]
    type = PointValue
    point = '0 0 0'
    variable = f1
  [../]
  [./f2]
    type = PointValue
    point = '0 0 0'
    variable = f2
  [../]
  [./iter]
    type = PointValue
    point = '0 0 0'
    variable = iter
  [../]
  [./intnl]
    type = PointValue
    point = '0 0 0'
    variable = intnl
  [../]
[]

[UserObjects]
  [./hard]
    type = SolidMechanicsHardeningCubic
    value_0 = 1.3
    value_residual = 2
    internal_limit = 1E-6
  [../]
  [./tens]
    type = SolidMechanicsPlasticTensileMulti
    tensile_strength = hard
    shift = 1E-6
    yield_function_tolerance = 1E-6
    internal_constraint_tolerance = 1E-5
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    block = 0
    fill_method = symmetric_isotropic
    C_ijkl = '0.6E6 1E6'
  [../]
  [./mc]
    type = ComputeMultiPlasticityStress
    block = 0
    ep_plastic_tolerance = 1E-12
    plastic_models = tens
    debug_fspb = none
    debug_jac_at_stress = '1 2 3 2 -4 -5 3 -5 10'
    debug_jac_at_pm = '0.1 0.2 0.3'
    debug_jac_at_intnl = 1E-6
    debug_stress_change = 1E-6
    debug_pm_change = '1E-6 1E-6 1E-6'
    debug_intnl_change = 1E-6
  [../]
[]


[Executioner]
  end_time = 1
  dt = 1
  type = Transient
[]


[Outputs]
  file_base = planar8
  exodus = false
  [./csv]
    type = CSV
    [../]
[]

(test/tests/materials/stateful_internal_side_uo/internal_side_uo_stateful.i)

[Mesh]
  type = GeneratedMesh
  dim = 2
  xmin = -1
  ymin = -1
  xmax = 1
  ymax = 1
  nx = 2
  ny = 2
  elem_type = QUAD4
[]

[Functions]
  [./fn_exact]
    type = ParsedFunction
    expression = 'x*x+y*y'
  [../]

  [./ffn]
    type = ParsedFunction
    expression = -4
  [../]
[]

[UserObjects]
  [./isuo]
    type = InsideUserObject
    variable = u
    diffusivity = diffusivity
    execute_on = 'initial timestep_end'
#    use_old_prop = true # Access a stateful material on an internal side
  [../]
[]

[Variables]
  [./u]
    family = LAGRANGE
    order = FIRST
  [../]
[]

[Kernels]
  [./diff]
    type = Diffusion
    variable = u
  [../]

  [./ffn]
    type = BodyForce
    variable = u
    function = ffn
  [../]

  [./time]
    type = TimeDerivative
    variable = u
  [../]
[]

[BCs]
  [./all]
    type = FunctionDirichletBC
    variable = u
    boundary = '0 1 2 3'
    function = fn_exact
  [../]
[]

[Postprocessors]
  [./value]
    type = InsideValuePPS
    user_object = isuo
    execute_on = 'initial timestep_end'
  [../]
[]

[Executioner]
  type = Transient
  dt = 0.1
  num_steps = 5
[]

[Materials]
  [./stateful]
    type = StatefulMaterial
    block = 0
  [../]
[]

[Outputs]
  exodus = true
[]

(modules/combined/examples/xfem/xfem_thermomechanics_stress_growth.i)

# This is a demonstration of a simple thermomechanics simulation using
# XFEM in which a single crack propagates based on a principal stress
# criterion.
#
# The top and bottom of the plate are fixed in the y direction, and the
# top of the plate is cooled down over time. The thermal contraction
# causes tensile stresses, which lead to crack propagation. The crack
# propagates in a curved path because of the changinging nature of
# the thermal gradient as a result of the crack. There is no heat
# conduction across the crack as soon as it forms.

[GlobalParams]
  displacements = 'disp_x disp_y'
  volumetric_locking_correction = true
[]

[Mesh]
  type = GeneratedMesh
  dim = 2
  nx = 11
  ny = 11
  xmin = 0.0
  xmax = 1.0
  ymin = 0.0
  ymax = 1.0
  elem_type = QUAD4
[]

[Variables]
  # Solve for the temperature and the displacements
  # Displacements are not specified because the TensorMechanics/Master Action sets them up
  [./temp]
    initial_condition = 300
  [../]
[]

[XFEM]
  geometric_cut_userobjects = 'line_seg_cut_uo'
  qrule = volfrac
  output_cut_plane = true
[]

[UserObjects]
  [./line_seg_cut_uo]
    type = LineSegmentCutUserObject
    cut_data = '1.0  0.5  0.8  0.5'
    time_start_cut = 0.0
    time_end_cut = 0.0
  [../]
  [./xfem_marker_uo]
    type = XFEMRankTwoTensorMarkerUserObject
    execute_on = timestep_end
    tensor = stress
    scalar_type = MaxPrincipal
    threshold = 5e+1
    average = true
  [../]
[]

[Physics/SolidMechanics/QuasiStatic]
  [./all]
    strain = FINITE
    planar_formulation = plane_strain
    add_variables = true
    eigenstrain_names = eigenstrain
  [../]
[]

[Kernels]
  [./htcond]
    type = HeatConduction
    variable = temp
  [../]
[]

[BCs]
  [./bottomx]
    type = DirichletBC
    boundary = bottom
    variable = disp_x
    value = 0.0
  [../]
  [./bottomy]
    type = DirichletBC
    boundary = bottom
    variable = disp_y
    value = 0.0
  [../]
  [./topx]
    type = DirichletBC
    boundary = top
    variable = disp_x
    value = 0.0
  [../]
  [./topy]
    type = DirichletBC
    boundary = top
    variable = disp_y
    value = 0.0
  [../]
  [./topt]
    type = FunctionDirichletBC
    boundary = top
    variable = temp
    function = 273-t*27.3
  [../]
  [./bott]
    type = FunctionDirichletBC
    boundary = bottom
    variable = temp
    function = 273
#    value = 273.0
  [../]
[]

[Materials]
  [./thcond]
    type = GenericConstantMaterial
    prop_names = 'thermal_conductivity'
    prop_values = '5e-6'
  [../]

  [./elasticity_tensor]
    type = ComputeIsotropicElasticityTensor
    youngs_modulus = 1e6
    poissons_ratio = 0.3
  [../]

  [./_elastic_strain]
    type = ComputeFiniteStrainElasticStress
  [../]

  [./thermal_strain]
    type= ComputeThermalExpansionEigenstrain
    thermal_expansion_coeff = 10e-6
    temperature = temp
    stress_free_temperature = 273
    eigenstrain_name = eigenstrain
  [../]
[]

[Executioner]
  type = Transient

  solve_type = 'PJFNK'
  petsc_options_iname = '-ksp_gmres_restart -pc_type -pc_hypre_type -pc_hypre_boomeramg_max_iter'
  petsc_options_value = '201                hypre    boomeramg      8'

  line_search = 'none'

  [./Predictor]
    type = SimplePredictor
    scale = 1.0
  [../]

# controls for linear iterations
  l_max_its = 100
  l_tol = 1e-2

# controls for nonlinear iterations
  nl_max_its = 15
  nl_rel_tol = 1e-14
  nl_abs_tol = 1e-9

# time control
  start_time = 0.0
  dt = 1.0
  end_time = 10.0

  max_xfem_update = 5
[]

[Outputs]
  exodus = true
  execute_on = timestep_end
  [./console]
    type = Console
    output_linear = true
  [../]
[]

(modules/solid_mechanics/test/tests/multi/three_surface08.i)

# Plasticit models:
# SimpleTester0 with a = 0 and b = 1 and strength = 1
# SimpleTester1 with a = 1 and b = 0 and strength = 1
# SimpleTester2 with a = 1 and b = 1 and strength = 1.5
#
# Lame lambda = 0 (Poisson=0).  Lame mu = 0.5E6
#
# A single element is stretched by 2.0E-6m in y direction and 0.5E-6 in z direction.
# trial stress_yy = 2.0 and stress_zz = 0.5
#
# Then SimpleTester1 and SimpleTester2 should activate and the algorithm will return to
# the corner stress_yy=1.0, stress_zz=0.5
# internal1 should be 1.0, and internal2 should be 0

[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]


[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
[]

[Kernels]
  [SolidMechanics]
    displacements = 'disp_x disp_y disp_z'
  [../]
[]


[BCs]
  [./x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'front back'
    function = '0E-6*x'
  [../]
  [./y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'front back'
    function = '2.0E-6*y'
  [../]
  [./z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'front back'
    function = '0.5E-6*z'
  [../]
[]

[AuxVariables]
  [./stress_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f0]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f1]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f2]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./int0]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./int1]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./int2]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]

[AuxKernels]
  [./stress_xx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xx
    index_i = 0
    index_j = 0
  [../]
  [./stress_xy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xy
    index_i = 0
    index_j = 1
  [../]
  [./stress_xz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xz
    index_i = 0
    index_j = 2
  [../]
  [./stress_yy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yy
    index_i = 1
    index_j = 1
  [../]
  [./stress_yz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yz
    index_i = 1
    index_j = 2
  [../]
  [./stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zz
    index_i = 2
    index_j = 2
  [../]
  [./f0]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 0
    variable = f0
  [../]
  [./f1]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 1
    variable = f1
  [../]
  [./f2]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 2
    variable = f2
  [../]
  [./int0]
    type = MaterialStdVectorAux
    property = plastic_internal_parameter
    factor = 1E6
    index = 0
    variable = int0
  [../]
  [./int1]
    type = MaterialStdVectorAux
    property = plastic_internal_parameter
    factor = 1E6
    index = 1
    variable = int1
  [../]
  [./int2]
    type = MaterialStdVectorAux
    property = plastic_internal_parameter
    factor = 1E6
    index = 2
    variable = int2
  [../]
[]

[Postprocessors]
  [./s_xx]
    type = PointValue
    point = '0 0 0'
    variable = stress_xx
  [../]
  [./s_xy]
    type = PointValue
    point = '0 0 0'
    variable = stress_xy
  [../]
  [./s_xz]
    type = PointValue
    point = '0 0 0'
    variable = stress_xz
  [../]
  [./s_yy]
    type = PointValue
    point = '0 0 0'
    variable = stress_yy
  [../]
  [./s_yz]
    type = PointValue
    point = '0 0 0'
    variable = stress_yz
  [../]
  [./s_zz]
    type = PointValue
    point = '0 0 0'
    variable = stress_zz
  [../]
  [./f0]
    type = PointValue
    point = '0 0 0'
    variable = f0
  [../]
  [./f1]
    type = PointValue
    point = '0 0 0'
    variable = f1
  [../]
  [./f2]
    type = PointValue
    point = '0 0 0'
    variable = f2
  [../]
  [./int0]
    type = PointValue
    point = '0 0 0'
    variable = int0
  [../]
  [./int1]
    type = PointValue
    point = '0 0 0'
    variable = int1
  [../]
  [./int2]
    type = PointValue
    point = '0 0 0'
    variable = int2
  [../]
[]

[UserObjects]
  [./simple0]
    type = SolidMechanicsPlasticSimpleTester
    a = 0
    b = 1
    strength = 1
    yield_function_tolerance = 1.0E-9
    internal_constraint_tolerance = 1.0E-9
  [../]
  [./simple1]
    type = SolidMechanicsPlasticSimpleTester
    a = 1
    b = 0
    strength = 1
    yield_function_tolerance = 1.0E-9
    internal_constraint_tolerance = 1.0E-9
  [../]
  [./simple2]
    type = SolidMechanicsPlasticSimpleTester
    a = 1
    b = 1
    strength = 1.5
    yield_function_tolerance = 1.0E-9
    internal_constraint_tolerance = 1.0E-9
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    block = 0
    fill_method = symmetric_isotropic
    C_ijkl = '0 0.5E6'
  [../]
  [./strain]
    type = ComputeFiniteStrain
    block = 0
    displacements = 'disp_x disp_y disp_z'
  [../]
  [./multi]
    type = ComputeMultiPlasticityStress
    block = 0
    ep_plastic_tolerance = 1E-9
    plastic_models = 'simple0 simple1 simple2'
    max_NR_iterations = 2
    min_stepsize = 1
    debug_fspb = crash
    debug_jac_at_stress = '10 0 0 0 10 0 0 0 10'
    debug_jac_at_pm = '1 1'
    debug_jac_at_intnl = '1 1'
    debug_stress_change = 1E-5
    debug_pm_change = '1E-6 1E-6'
    debug_intnl_change = '1E-6 1E-6'
  [../]
[]


[Executioner]
  end_time = 1
  dt = 1
  type = Transient
[]


[Outputs]
  file_base = three_surface08
  exodus = false
  [./csv]
    type = CSV
    [../]
[]

(modules/combined/test/tests/internal_volume/hex8.i)

#
# Internal Volume Test
#
# This test is designed to compute the internal volume of a space considering
#   an embedded volume inside.
#
# The mesh is composed of one block (1) with an interior cavity of volume 8.
#   Block 2 sits in the cavity and has a volume of 1.  Thus, the total volume
#   is 7.
#
# The internal volume is then adjusted by a piecewise linear time varying
# function.  Thus, the total volume is 7 plus the addition at the particular
# time.
#
#  Time |  Addition  | Total volume
#   0   |    0.0     |     7.0
#   1   |    3.0     |    10.0
#   2   |    7.0     |    14.0
#   3   |   -3.0     |     4.0
#
[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]

[Mesh]
  file = meshes/hex8.e
[]

[Functions]
  [./step]
    type = PiecewiseLinear
    x = '0. 1. 2. 3.'
    y = '0. 0. 1e-2 0.'
    scale_factor = 0.5
  [../]
  [./addition]
    type = PiecewiseLinear
    x = '0. 1. 2. 3.'
    y = '0. 3. 7. -3.'
  [../]
[]

[Variables]
  [./disp_x]
    order = FIRST
    family = LAGRANGE
  [../]

  [./disp_y]
    order = FIRST
    family = LAGRANGE
  [../]

  [./disp_z]
    order = FIRST
    family = LAGRANGE
  [../]
[]

[Physics/SolidMechanics/QuasiStatic]
  [./all]
    volumetric_locking_correction = true
    incremental = true
    strain = FINITE
  [../]
[]

[BCs]
  [./no_x]
    type = DirichletBC
    variable = disp_x
    boundary = 100
    value = 0.0
  [../]

  [./no_y]
    type = DirichletBC
    variable = disp_y
    boundary = 100
    value = 0.0
  [../]

  [./prescribed_z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 100
    function = step
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeIsotropicElasticityTensor
    block = '1 2'
    youngs_modulus = 1e6
    poissons_ratio = 0.3
  [../]

  [./stress]
    type = ComputeFiniteStrainElasticStress
    block = '1 2'
  [../]
[]

[Executioner]
  type = Transient
  solve_type = 'PJFNK'

  start_time = 0.0
  dt = 1.0
  end_time = 3.0
[]

[Postprocessors]
  [./internalVolume]
    type = InternalVolume
    boundary = 100
    addition = addition
    execute_on = 'initial timestep_end'
  [../]

  [./dispZ]
    type = ElementAverageValue
    block = '1 2'
    variable = disp_z
  [../]
[]

[Outputs]
  csv = true
[]

(modules/heat_transfer/test/tests/heat_conduction/2d_quadrature_gap_heat_transfer/moving.i)

[Mesh]
  file = nonmatching.e
  displacements = 'disp_x disp_y'
[]

[Variables]
  [temp]
  []
[]

[AuxVariables]
  [disp_x]
  []
  [disp_y]
  []
[]

[Functions]
  [disp_y]
    type = ParsedFunction
    expression = 0.1*t
  []
  [left_temp]
    type = ParsedFunction
    expression = 1000+t
  []
[]

[Kernels]
  [hc]
    type = HeatConduction
    variable = temp
  []
[]

[AuxKernels]
  [disp_y]
    type = FunctionAux
    variable = disp_y
    function = disp_y
    block = left
    execute_on = 'INITIAL TIMESTEP_BEGIN'
  []
[]

[BCs]
  [left]
    type = FunctionDirichletBC
    variable = temp
    boundary = leftleft
    function = left_temp
  []
  [right]
    type = DirichletBC
    variable = temp
    boundary = rightright
    value = 400
  []
[]

[ThermalContact]
  [left_to_right]
    secondary = leftright
    quadrature = true
    primary = rightleft
    emissivity_primary = 0
    emissivity_secondary = 0
    variable = temp
    type = GapHeatTransfer
  []
[]

[Materials]
  [hcm]
    type = HeatConductionMaterial
    block = 'left right'
    specific_heat = 1
    thermal_conductivity = 1
    use_displaced_mesh = true
  []
[]

[Postprocessors]
  [left]
    type = SideDiffusiveFluxIntegral
    variable = temp
    boundary = leftright
    diffusivity = thermal_conductivity
  []
  [right]
    type = SideDiffusiveFluxIntegral
    variable = temp
    boundary = rightleft
    diffusivity = thermal_conductivity
  []
[]

[Executioner]
  type = Transient
  num_steps = 9
  dt = 1

  #Preconditioned JFNK (default)
  solve_type = 'PJFNK'

  petsc_options_iname = '-pc_type -pc_hypre_type'
  petsc_options_value = 'hypre boomeramg'
[]

[Outputs]
  exodus = true
[]

(modules/solid_mechanics/test/tests/tensile/small_deform6_update_version.i)

# checking for small deformation
# A single element is incrementally stretched in the in the z direction
# This causes the return direction to be along the hypersurface sigma_II = sigma_III,
# and the resulting stresses are checked to lie on the expected yield surface

[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]
[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]

[Physics/SolidMechanics/QuasiStatic]
  [./all]
    add_variables = true
    incremental = true
    strain = finite
    generate_output = 'max_principal_stress mid_principal_stress min_principal_stress stress_xx stress_xy stress_xz stress_yy stress_yz stress_zz'
  [../]
[]

[BCs]
  [./x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'front back'
    function = '4*x*t'
  [../]
  [./y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'front back'
    function = 'y*(t-0.5)'
  [../]
  [./z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'front back'
    function = 'z*(t-0.5)'
  [../]
[]

[AuxVariables]
  [./yield_fcn]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]

[AuxKernels]
  [./yield_fcn_auxk]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 0
    variable = yield_fcn
  [../]
[]

[Postprocessors]
  [./s_I]
    type = PointValue
    point = '0 0 0'
    variable = max_principal_stress
  [../]
  [./s_II]
    type = PointValue
    point = '0 0 0'
    variable = mid_principal_stress
  [../]
  [./s_III]
    type = PointValue
    point = '0 0 0'
    variable = min_principal_stress
  [../]
  [./f]
    type = PointValue
    point = '0 0 0'
    variable = yield_fcn
  [../]
[]

[UserObjects]
  [./ts]
    type = SolidMechanicsHardeningConstant
    value = 1
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    fill_method = symmetric_isotropic
    C_ijkl = '0 2.0'
  [../]
  [./tensile]
    type = TensileStressUpdate
    tensile_strength = ts
    smoothing_tol = 0.5
    yield_function_tol = 1.0E-12
  [../]
  [./stress]
    type = ComputeMultipleInelasticStress
    inelastic_models = tensile
    perform_finite_strain_rotations = false
  [../]
[]


[Executioner]
  end_time = 1
  dt = 0.1
  type = Transient
[]


[Outputs]
  file_base = small_deform6_update_version
  exodus = false
  [./csv]
    type = CSV
  [../]
[]

(modules/solid_mechanics/test/tests/lagrangian/cartesian/total/action/action_L.i)

[Mesh]
  type = FileMesh
  file = 'L.exo'
[]

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]

[Physics]
  [SolidMechanics]
    [QuasiStatic]
      [all]
        strain = SMALL
        add_variables = true
        new_system = true
        formulation = TOTAL
        volumetric_locking_correction = true
        generate_output = 'cauchy_stress_xx cauchy_stress_yy cauchy_stress_zz cauchy_stress_xy '
                          'cauchy_stress_xz cauchy_stress_yz strain_xx strain_yy strain_zz strain_xy '
                          'strain_xz strain_yz'
      []
    []
  []
[]

[Functions]
  [pfn]
    type = PiecewiseLinear
    x = '0    1    2'
    y = '0.00 0.3 0.5'
  []
[]

[BCs]
  [left]
    type = DirichletBC
    preset = true
    variable = disp_x
    boundary = fix
    value = 0.0
  []

  [bottom]
    type = DirichletBC
    preset = true
    variable = disp_y
    boundary = fix
    value = 0.0
  []

  [back]
    type = DirichletBC
    preset = true
    variable = disp_z
    boundary = fix
    value = 0.0
  []

  [front]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = pull
    function = pfn
    preset = true
  []
[]

[Materials]
  [elastic_tensor]
    type = ComputeIsotropicElasticityTensor
    youngs_modulus = 100000.0
    poissons_ratio = 0.25
  []
  [compute_stress]
    type = ComputeLagrangianLinearElasticStress
  []
[]

[Preconditioning]
  [smp]
    type = SMP
    full = true
  []
[]

[Executioner]
  type = Transient

  solve_type = 'newton'

  petsc_options_iname = -pc_type
  petsc_options_value = lu

  nl_abs_tol = 1e-10
  nl_rel_tol = 1e-8

  end_time = 1.0
  dtmin = 0.5
  dt = 0.5
[]

[Outputs]
  [out]
    type = Exodus
    file_base = 'blah'
  []
[]

(modules/solid_mechanics/test/tests/crystal_plasticity/monolithic_material_based/crysp_read_slip_prop.i)

[Mesh]
  type = GeneratedMesh
  dim = 3
  elem_type = HEX8
  displacements = 'ux uy uz'
[]

[Variables]
  [./ux]
    block = 0
  [../]
  [./uy]
    block = 0
  [../]
  [./uz]
    block = 0
  [../]
[]

[AuxVariables]
  [./stress_zz]
    order = CONSTANT
    family = MONOMIAL
    block = 0
  [../]
  [./fp_zz]
    order = CONSTANT
    family = MONOMIAL
    block = 0
  [../]
  [./rotout]
    order = CONSTANT
    family = MONOMIAL
    block = 0
  [../]
  [./e_zz]
    order = CONSTANT
    family = MONOMIAL
    block = 0
  [../]
  [./gss1]
    order = CONSTANT
    family = MONOMIAL
    block = 0
  [../]
[]

[Functions]
  [./tdisp]
    type = ParsedFunction
    expression = 0.01*t
  [../]
[]

[Kernels]
  [SolidMechanics]
    displacements = 'ux uy uz'
    use_displaced_mesh = true
  [../]
[]

[AuxKernels]
  [./stress_zz]
    type = RankTwoAux
    variable = stress_zz
    rank_two_tensor = stress
    index_j = 2
    index_i = 2
    execute_on = timestep_end
    block = 0
  [../]
  [./fp_zz]
    type = RankTwoAux
    variable = fp_zz
    rank_two_tensor = fp
    index_j = 2
    index_i = 2
    execute_on = timestep_end
    block = 0
  [../]
  [./e_zz]
    type = RankTwoAux
    variable = e_zz
    rank_two_tensor = lage
    index_j = 2
    index_i = 2
    execute_on = timestep_end
    block = 0
  [../]
  [./gss1]
    type = MaterialStdVectorAux
    variable = gss1
    property = gss
    index = 0
    execute_on = timestep_end
    block = 0
  [../]
[]

[BCs]
  [./symmy]
    type = DirichletBC
    variable = uy
    boundary = bottom
    value = 0
  [../]
  [./symmx]
    type = DirichletBC
    variable = ux
    boundary = left
    value = 0
  [../]
  [./symmz]
    type = DirichletBC
    variable = uz
    boundary = back
    value = 0
  [../]
  [./tdisp]
    type = FunctionDirichletBC
    variable = uz
    boundary = front
    function = tdisp
  [../]
[]

[Materials]
  [./crysp]
    type = FiniteStrainCrystalPlasticity
    block = 0
    gtol = 1e-2
    slip_sys_file_name = input_slip_sys_prop.txt
    nss = 12
    num_slip_sys_flowrate_props = 2 #Number of properties in a slip system
    flowprops = '1 4 0.001 0.1 5 8 0.001 0.1 9 12 0.001 0.1'
    hprops = '1.0 541.5 60.8 109.8 2.5'
    tan_mod_type = exact
    intvar_read_type = slip_sys_file
    num_slip_sys_props = 1
  [../]
  [./elasticity_tensor]
    type = ComputeElasticityTensorCP
    block = 0
    C_ijkl = '1.684e5 1.214e5 1.214e5 1.684e5 1.214e5 1.684e5 0.754e5 0.754e5 0.754e5'
    fill_method = symmetric9
  [../]
  [./strain]
    type = ComputeFiniteStrain
    block = 0
    displacements = 'ux uy uz'
  [../]
[]

[Postprocessors]
  [./stress_zz]
    type = ElementAverageValue
    variable = stress_zz
    block = 'ANY_BLOCK_ID 0'
  [../]
  [./fp_zz]
    type = ElementAverageValue
    variable = fp_zz
    block = 'ANY_BLOCK_ID 0'
  [../]
  [./e_zz]
    type = ElementAverageValue
    variable = e_zz
    block = 'ANY_BLOCK_ID 0'
  [../]
  [./gss1]
    type = ElementAverageValue
    variable = gss1
    block = 'ANY_BLOCK_ID 0'
  [../]
[]

[Preconditioning]
  [./smp]
    type = SMP
    full = true
  [../]
[]

[Executioner]
  type = Transient

  #Preconditioned JFNK (default)
  solve_type = 'PJFNK'

  petsc_options_iname = '-pc_type'
  petsc_options_value = 'lu'

  nl_rel_tol = 1e-10
  nl_abs_tol = 1e-10

  dt = 0.05
  dtmax = 10.0
  dtmin = 0.05

  num_steps = 10
[]

[Outputs]
  file_base = crysp_read_slip_prop_out
  exodus = true
[]

(modules/combined/tutorials/introduction/thermal_mechanical/thermomech_step01.i)

#
# Single block coupled thermal/mechanical
# https://mooseframework.inl.gov/modules/combined/tutorials/introduction/thermoech_step01.html
#

[GlobalParams]
  displacements = 'disp_x disp_y'
[]

[Mesh]
  [generated]
    type = GeneratedMeshGenerator
    dim = 2
    nx = 10
    ny = 10
    xmax = 2
    ymax = 1
  []
  [pin]
    type = ExtraNodesetGenerator
    input = generated
    new_boundary = pin
    coord = '0 0 0'
  []
[]

[Variables]
  [T]
    initial_condition = 300.0
  []
[]

[Kernels]
  [heat_conduction]
    type = HeatConduction
    variable = T
  []
  [time_derivative]
    type = HeatConductionTimeDerivative
    variable = T
  []
  [heat_source]
    type = HeatSource
    variable = T
    value = 5e4
  []
[]

[Physics/SolidMechanics/QuasiStatic]
  [all]
    add_variables = true
    strain = FINITE
    automatic_eigenstrain_names = true
    generate_output = 'vonmises_stress'
  []
[]

[Materials]
  [thermal]
    type = HeatConductionMaterial
    thermal_conductivity = 45.0
    specific_heat = 0.5
  []
  [density]
    type = GenericConstantMaterial
    prop_names = 'density'
    prop_values = 8000.0
  []
  [elasticity]
    type = ComputeIsotropicElasticityTensor
    youngs_modulus = 1e9
    poissons_ratio = 0.3
  []
  [expansion1]
    type = ComputeThermalExpansionEigenstrain
    temperature = T
    thermal_expansion_coeff = 0.001
    stress_free_temperature = 300
    eigenstrain_name = thermal_expansion
  []
  [stress]
    type = ComputeFiniteStrainElasticStress
  []
[]

[BCs]
  [t_left]
    type = DirichletBC
    variable = T
    value = 300
    boundary = 'left'
  []
  [t_right]
    type = FunctionDirichletBC
    variable = T
    function = '300+5*t'
    boundary = 'right'
  []
  [pin_x]
    type = DirichletBC
    variable = disp_x
    boundary = pin
    value = 0
  []
  [bottom_y]
    type = DirichletBC
    variable = disp_y
    boundary = bottom
    value = 0
  []
[]

[Preconditioning]
  [smp]
    type = SMP
    full = true
  []
[]

[Executioner]
  type = Transient
  petsc_options_iname = '-pc_type'
  petsc_options_value = 'lu'
  end_time = 5
  dt = 1
[]

[Outputs]
  exodus = true
[]

(modules/solid_mechanics/test/tests/crystal_plasticity/stress_update_material_based/exception.i)

[GlobalParams]
  displacements = 'ux uy uz'
[]

[Mesh]
  type = GeneratedMesh
  dim = 3
  elem_type = HEX8
[]

[AuxVariables]
  [pk2]
    order = CONSTANT
    family = MONOMIAL
  []
  [fp_zz]
    order = CONSTANT
    family = MONOMIAL
  []
  [rotout]
    order = CONSTANT
    family = MONOMIAL
  []
  [e_zz]
    order = CONSTANT
    family = MONOMIAL
  []
  [gss]
    order = CONSTANT
    family = MONOMIAL
  []
  [slip_increment]
   order = CONSTANT
   family = MONOMIAL
  []
[]

[Physics/SolidMechanics/QuasiStatic/all]
  strain = FINITE
  add_variables = true
  generate_output = stress_zz
[]

[AuxKernels]
  [fp_zz]
    type = RankTwoAux
    variable = fp_zz
    rank_two_tensor = plastic_deformation_gradient
    index_j = 2
    index_i = 2
    execute_on = timestep_end
  []
  [pk2]
   type = RankTwoAux
   variable = pk2
   rank_two_tensor = second_piola_kirchhoff_stress
   index_j = 2
   index_i = 2
   execute_on = timestep_end
  []
  [e_zz]
    type = RankTwoAux
    variable = e_zz
    rank_two_tensor = total_lagrangian_strain
    index_j = 2
    index_i = 2
    execute_on = timestep_end
  []
  [gss]
    type = MaterialStdVectorAux
    variable = gss
    property = slip_resistance
    index = 0
    execute_on = timestep_end
  []
  [slip_inc]
   type = MaterialStdVectorAux
   variable = slip_increment
   property = slip_increment
   index = 0
   execute_on = timestep_end
  []
[]

[BCs]
  [symmy]
    type = DirichletBC
    variable = uy
    boundary = bottom
    value = 0
  []
  [symmx]
    type = DirichletBC
    variable = ux
    boundary = left
    value = 0
  []
  [symmz]
    type = DirichletBC
    variable = uz
    boundary = back
    value = 0
  []
  [tdisp]
    type = FunctionDirichletBC
    variable = uz
    boundary = front
    function = '0.1*t'
  []
[]

[Materials]
  [elasticity_tensor]
    type = ComputeElasticityTensorCP
    C_ijkl = '1.684e5 1.214e5 1.214e5 1.684e5 1.214e5 1.684e5 0.754e5 0.754e5 0.754e5'
    fill_method = symmetric9
  []
  [stress]
    type = ComputeMultipleCrystalPlasticityStress
    crystal_plasticity_models = 'trial_xtalpl'
    tan_mod_type = exact
    maximum_substep_iteration = 1
  []
  [trial_xtalpl]
    type = CrystalPlasticityKalidindiUpdate
    number_slip_systems = 12
    slip_sys_file_name = input_slip_sys.txt
  []
[]

[Postprocessors]
  [stress_zz]
    type = ElementAverageValue
    variable = stress_zz
  []
  [pk2]
   type = ElementAverageValue
   variable = pk2
  []
  [fp_zz]
    type = ElementAverageValue
    variable = fp_zz
  []
  [e_zz]
    type = ElementAverageValue
    variable = e_zz
  []
  [gss]
    type = ElementAverageValue
    variable = gss
  []
  [slip_increment]
   type = ElementAverageValue
   variable = slip_increment
  []
[]

[Preconditioning]
  [smp]
    type = SMP
    full = true
  []
[]

[Executioner]
  type = Transient
  dt = 0.05
  solve_type = 'PJFNK'

  petsc_options_iname = '-pc_type -pc_asm_overlap -sub_pc_type -ksp_type -ksp_gmres_restart'
  petsc_options_value = ' asm      2              lu            gmres     200'
  nl_abs_tol = 1e-10
  nl_rel_step_tol = 1e-10
  dtmax = 10.0
  nl_rel_tol = 1e-10
  end_time = 1
  dtmin = 0.01
  num_steps = 10
  nl_abs_step_tol = 1e-10
[]

[Outputs]
  exodus = true
[]

(modules/solid_mechanics/test/tests/2D_geometries/finite_planestrain.i)

# This test uses the strain calculator ComputePlaneFiniteStrain,
# which is generated through the use of the SolidMechanics QuasiStatic Physics.

[Mesh]
  type = GeneratedMesh
  nx = 2
  ny = 2
  dim = 2
[]

[GlobalParams]
  displacements = 'disp_x disp_y'
[]

[Physics/SolidMechanics/QuasiStatic]
  [./all]
    strain = FINITE
    planar_formulation = PLANE_STRAIN
    add_variables = true
    generate_output = 'stress_xx stress_xy stress_yy stress_zz strain_xx strain_xy strain_yy strain_zz'
  [../]
[]

[Functions]
  [./pull]
    type = ParsedFunction
    expression ='0.005 * t'
  [../]
[]

[BCs]
  [./leftx]
    type = DirichletBC
    boundary = left
    variable = disp_x
    value = 0.0
  [../]
  [./bottomy]
    type = DirichletBC
    boundary = bottom
    variable = disp_y
    value = 0.0
  [../]
  [./pull]
    type = FunctionDirichletBC
    boundary = top
    variable = disp_y
    function = pull
  [../]
[]

[Materials]
  [./elastic_stress]
    type = ComputeFiniteStrainElasticStress
  [../]
  [./elasticity_tensor]
    type = ComputeIsotropicElasticityTensor
    poissons_ratio = 0.3
    youngs_modulus = 1e6
  [../]
[]

[Executioner]
  type = Transient

  solve_type = PJFNK
  line_search = none

  l_max_its = 100
  l_tol = 1e-10
  nl_max_its = 10
  nl_rel_tol = 1e-12

  start_time = 0.0
  dt = 1.0
  dtmin = 1.0
  end_time = 2.0
[]

[Outputs]
  exodus = true
[]

(modules/combined/test/tests/gap_heat_transfer_convex/gap_heat_transfer_convex_gap_offsets.i)

#The two blocks were moved apart by the value of 0.005 in the y-direction, respectively.
#This value was compensated by the gap offsets from both secondary and primary sides
[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
  temperature = temp
[]

[Mesh]
  file = gap_heat_transfer_convex_gap_offsets.e
[]

[Functions]
  [./disp]
    type = PiecewiseLinear
    x = '0 2.0'
    y = '0 1.0'
  [../]
  [./temp]
    type = PiecewiseLinear
    x = '0     1'
    y = '200 200'
  [../]
[]

[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]

  [./temp]
    initial_condition = 100
  [../]
[]

[AuxVariables]
  [./primary_gap_offset]
  [../]
  [./secondary_gap_offset]
  [../]
  [./mapped_primary_gap_offset]
  [../]
[]

[AuxKernels]
  [./primary_gap_offset]
    type = ConstantAux
    variable = primary_gap_offset
    value = -0.005
    boundary = 2
  [../]
  [./mapped_primary_gap_offset]
    type = GapValueAux
    variable = mapped_primary_gap_offset
    paired_variable = primary_gap_offset
    boundary = 3
    paired_boundary = 2
  [../]
  [./secondary_gap_offset]
    type = ConstantAux
    variable = secondary_gap_offset
    value = -0.005
    boundary = 3
  [../]
[]

[ThermalContact]
  [./thermal_contact]
    type = GapHeatTransfer
    variable = temp
    primary = 2
    secondary = 3
    emissivity_primary = 0
    emissivity_secondary = 0
    secondary_gap_offset = secondary_gap_offset
    mapped_primary_gap_offset = mapped_primary_gap_offset
  [../]
[]

[Physics/SolidMechanics/QuasiStatic/All]
  volumetric_locking_correction = true
  strain = FINITE
  eigenstrain_names = eigenstrain
[]

[Kernels]
  [./heat]
    type = HeatConduction
    variable = temp
  [../]
[]

[BCs]
  [./move_right]
    type = FunctionDirichletBC
    boundary = '3'
    variable = disp_x
    function = disp
  [../]

  [./fixed_x]
    type = DirichletBC
    boundary = '1'
    variable = disp_x
    value = 0
  [../]
  [./fixed_y]
    type = DirichletBC
    boundary = '1 2 3 4'
    variable = disp_y
    value = 0
  [../]
  [./fixed_z]
    type = DirichletBC
    boundary = '1 2 3 4'
    variable = disp_z
    value = 0
  [../]

  [./temp_bottom]
    type = FunctionDirichletBC
    boundary = 1
    variable = temp
    function = temp
  [../]
  [./temp_top]
    type = DirichletBC
    boundary = 4
    variable = temp
    value = 100
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeIsotropicElasticityTensor
    block = '1 2'
    youngs_modulus = 1e6
    poissons_ratio = 0.3
  [../]
  [./thermal_strain]
    type = ComputeThermalExpansionEigenstrain
    stress_free_temperature = 100
    thermal_expansion_coeff = 0
    eigenstrain_name = eigenstrain
  [../]
  [./stress]
    type = ComputeFiniteStrainElasticStress
  [../]

  [./heat1]
    type = HeatConductionMaterial
    block = 1

    specific_heat = 1.0
    thermal_conductivity = 1.0
  [../]
  [./heat2]
    type = HeatConductionMaterial
    block = 2

    specific_heat = 1.0
    thermal_conductivity = 1.0
  [../]

  [./density]
    type = Density
    block = '1 2'
    density = 1.0
  [../]
[]

[Executioner]
  type = Transient
  solve_type = 'PJFNK'

  start_time = 0.0
  dt = 0.1
  end_time = 2.0
[]

[Outputs]
  exodus = true
[]

(modules/solid_mechanics/test/tests/multi/three_surface10.i)

# Plasticit models:
# SimpleTester0 with a = 0 and b = 1 and strength = 1
# SimpleTester1 with a = 1 and b = 0 and strength = 1
# SimpleTester2 with a = 1 and b = 1 and strength = 1.5
#
# Lame lambda = 0 (Poisson=0).  Lame mu = 0.5E6
#
# A single element is stretched by 1.5E-6m in y direction and 0.0E-6 in z direction.
# trial stress_yy = 1.5 and stress_zz = 0.0
#
# Then SimpleTester1 should activate and the algorithm will return to
# stress_yy=1
# internal1 should be 0.5

[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]


[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
[]

[Kernels]
  [SolidMechanics]
    displacements = 'disp_x disp_y disp_z'
  [../]
[]


[BCs]
  [./x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'front back'
    function = '0E-6*x'
  [../]
  [./y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'front back'
    function = '1.5E-6*y'
  [../]
  [./z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'front back'
    function = '0.0E-6*z'
  [../]
[]

[AuxVariables]
  [./stress_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f0]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f1]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f2]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./int0]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./int1]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./int2]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]

[AuxKernels]
  [./stress_xx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xx
    index_i = 0
    index_j = 0
  [../]
  [./stress_xy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xy
    index_i = 0
    index_j = 1
  [../]
  [./stress_xz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xz
    index_i = 0
    index_j = 2
  [../]
  [./stress_yy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yy
    index_i = 1
    index_j = 1
  [../]
  [./stress_yz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yz
    index_i = 1
    index_j = 2
  [../]
  [./stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zz
    index_i = 2
    index_j = 2
  [../]
  [./f0]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 0
    variable = f0
  [../]
  [./f1]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 1
    variable = f1
  [../]
  [./f2]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 2
    variable = f2
  [../]
  [./int0]
    type = MaterialStdVectorAux
    property = plastic_internal_parameter
    factor = 1E6
    index = 0
    variable = int0
  [../]
  [./int1]
    type = MaterialStdVectorAux
    property = plastic_internal_parameter
    factor = 1E6
    index = 1
    variable = int1
  [../]
  [./int2]
    type = MaterialStdVectorAux
    property = plastic_internal_parameter
    factor = 1E6
    index = 2
    variable = int2
  [../]
[]

[Postprocessors]
  [./s_xx]
    type = PointValue
    point = '0 0 0'
    variable = stress_xx
  [../]
  [./s_xy]
    type = PointValue
    point = '0 0 0'
    variable = stress_xy
  [../]
  [./s_xz]
    type = PointValue
    point = '0 0 0'
    variable = stress_xz
  [../]
  [./s_yy]
    type = PointValue
    point = '0 0 0'
    variable = stress_yy
  [../]
  [./s_yz]
    type = PointValue
    point = '0 0 0'
    variable = stress_yz
  [../]
  [./s_zz]
    type = PointValue
    point = '0 0 0'
    variable = stress_zz
  [../]
  [./f0]
    type = PointValue
    point = '0 0 0'
    variable = f0
  [../]
  [./f1]
    type = PointValue
    point = '0 0 0'
    variable = f1
  [../]
  [./f2]
    type = PointValue
    point = '0 0 0'
    variable = f2
  [../]
  [./int0]
    type = PointValue
    point = '0 0 0'
    variable = int0
  [../]
  [./int1]
    type = PointValue
    point = '0 0 0'
    variable = int1
  [../]
  [./int2]
    type = PointValue
    point = '0 0 0'
    variable = int2
  [../]
[]

[UserObjects]
  [./simple0]
    type = SolidMechanicsPlasticSimpleTester
    a = 0
    b = 1
    strength = 1
    yield_function_tolerance = 1.0E-9
    internal_constraint_tolerance = 1.0E-9
  [../]
  [./simple1]
    type = SolidMechanicsPlasticSimpleTester
    a = 1
    b = 0
    strength = 1
    yield_function_tolerance = 1.0E-9
    internal_constraint_tolerance = 1.0E-9
  [../]
  [./simple2]
    type = SolidMechanicsPlasticSimpleTester
    a = 1
    b = 1
    strength = 1.5
    yield_function_tolerance = 1.0E-9
    internal_constraint_tolerance = 1.0E-9
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    block = 0
    fill_method = symmetric_isotropic
    C_ijkl = '0 0.5E6'
  [../]
  [./strain]
    type = ComputeFiniteStrain
    block = 0
    displacements = 'disp_x disp_y disp_z'
  [../]
  [./multi]
    type = ComputeMultiPlasticityStress
    block = 0
    ep_plastic_tolerance = 1E-9
    plastic_models = 'simple0 simple1 simple2'
    max_NR_iterations = 2
    min_stepsize = 1
    debug_fspb = crash
    debug_jac_at_stress = '10 0 0 0 10 0 0 0 10'
    debug_jac_at_pm = '1 1'
    debug_jac_at_intnl = '1 1'
    debug_stress_change = 1E-5
    debug_pm_change = '1E-6 1E-6'
    debug_intnl_change = '1E-6 1E-6'
  [../]
[]


[Executioner]
  end_time = 1
  dt = 1
  type = Transient
[]


[Outputs]
  file_base = three_surface10
  exodus = false
  [./csv]
    type = CSV
    [../]
[]

(modules/contact/test/tests/multiple_contact_pairs/multiple_pairs_mortar.i)

starting_point = 2e-1
offset = 1e-2

[GlobalParams]
  displacements = 'disp_x disp_y'
[]

[Mesh]
  [file]
    type = FileMeshGenerator
    file = multiple_pairs.e
  []
[]

[Physics/SolidMechanics/QuasiStatic]
  [all]
    add_variables = true
    strain = FINITE
    generate_output = 'stress_xx'
    block = '1 2 3'
  []
[]

[Materials]
  [stiffStuff]
    type = ComputeIsotropicElasticityTensor
    block = '1 2 3'
    youngs_modulus = 1e6
    poissons_ratio = 0.3
  []
  [stiffStuff_stress]
    type = ComputeFiniteStrainElasticStress
    block = '1 2 3'
  []
[]

[ICs]
  [disp_y]
    block = '2 3'
    variable = disp_y
    value = '${fparse starting_point + offset}'
    type = ConstantIC
  []
[]

[Contact]
  [first_pair]
    primary = '20'
    secondary = '10 '
    model = frictionless
    formulation = mortar
    c_normal = 1e+06
  []
  [second_pair]
    primary = '20'
    secondary = '101'
    model = frictionless
    formulation = mortar
    c_normal = 1e+06
  []
[]

[BCs]
  [botx]
    type = DirichletBC
    variable = disp_x
    preset = false
    boundary = 40
    value = 0.0
  []
  [boty]
    type = DirichletBC
    variable = disp_y
    preset = false
    boundary = 40
    value = 0.0
  []
  [topy]
    type = FunctionDirichletBC
    variable = disp_y
    preset = false
    boundary = '30 301'
    function = '${starting_point} * cos(2 * pi / 40 * t) + ${offset}'
  []
  [leftx]
    type = FunctionDirichletBC
    variable = disp_x
    preset = false
    boundary = '50 501'
    function = '1e-2 * t'
  []
[]

[Executioner]
  type = Transient
  dt = 2.0
  dtmin = .1
  solve_type = 'PJFNK'
  petsc_options = '-snes_converged_reason -ksp_converged_reason -pc_svd_monitor '
                  '-snes_linesearch_monitor'
  petsc_options_iname = '-pc_type -pc_factor_shift_type -pc_factor_shift_amount -mat_mffd_err'
  petsc_options_value = 'lu       NONZERO               1e-15                   1e-5'
  l_max_its = 30
  nl_max_its = 20
  nl_abs_tol = 1e-9
  line_search = 'none'
  end_time = 18
  snesmf_reuse_base = false
[]

[Debug]
  show_var_residual_norms = true
[]

[Outputs]
  exodus = true
[]

[Preconditioning]
  [smp]
    type = SMP
    full = true
  []
[]

[Postprocessors]
  active = 'num_nl cumulative'
  [num_nl]
    type = NumNonlinearIterations
  []
  [cumulative]
    type = CumulativeValuePostprocessor
    postprocessor = num_nl
  []
[]

[VectorPostprocessors]
  [cont_press]
    type = NodalValueSampler
    variable = contact_pressure
    boundary = '10 101'
    sort_by = x
    execute_on = NONLINEAR
  []
[]

(test/tests/bcs/function_dirichlet_bc/test.i)

###########################################################
# This is a test of Boundary Condition System. The
# FunctionDirichletBC is used to contribute the residuals
# to the boundary term operators in the weak form.
#
# @Requirement F3.40
###########################################################


[Mesh]
  [./square]
    type = GeneratedMeshGenerator
    dim = 2
    nx = 32
    ny = 32
  [../]
[]

[Variables]
  [./u]
  [../]
[]

[Functions]
  [./ff_1]
    type = ParsedFunction
    expression = alpha*alpha*pi
    symbol_names = 'alpha'
    symbol_values = '16'
  [../]

  [./ff_2]
    type = ParsedFunction
    expression = pi*sin(alpha*pi*x)
    symbol_names = 'alpha'
    symbol_values = '16'
  [../]

  [./forcing_func]
    type = CompositeFunction
    functions = 'ff_1 ff_2'
  [../]

  [./bc_func]
    type = ParsedFunction
    expression = sin(alpha*pi*x)
    symbol_names = 'alpha'
    symbol_values = '16'
  [../]
[]

[Kernels]
  [./diff]
    type = Diffusion
    variable = u
  [../]
  [./forcing]
    type = BodyForce
    variable = u
    function = forcing_func
  [../]
[]

[BCs]
  [./all]
    type = FunctionDirichletBC
    variable = u
    boundary = 'left right'
    function = bc_func
  [../]
[]

[Executioner]
  type = Steady
  nl_rel_tol = 1e-12
[]

[Outputs]
  execute_on = 'timestep_end'
  exodus = true
[]

(modules/solid_mechanics/test/tests/crystal_plasticity/euler_angles/euler_angle_auxvar.i)

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]

[Mesh]
  type = GeneratedMesh
  dim = 3
  elem_type = HEX8
[]

[AuxVariables]
  [euler_angle_1]
    order = CONSTANT
    family = MONOMIAL
  []
  [euler_angle_2]
    order = CONSTANT
    family = MONOMIAL
  []
  [euler_angle_3]
    order = CONSTANT
    family = MONOMIAL
  []
  # Euler angles aux variable to check the correctness of value assignments
  [check_euler_angle_1]
    order = CONSTANT
    family = MONOMIAL
  []
  [check_euler_angle_2]
    order = CONSTANT
    family = MONOMIAL
  []
  [check_euler_angle_3]
    order = CONSTANT
    family = MONOMIAL
  []
[]

[Physics]
  [SolidMechanics]
    [QuasiStatic]
      [all]
        strain = FINITE
        add_variables = true
        generate_output = stress_zz
      []
    []
  []
[]

[AuxKernels]
  [euler_angle_1]
    type = FunctionAux
    variable = euler_angle_1
    function = '10*t'
  []
  [euler_angle_2]
    type = FunctionAux
    variable = euler_angle_2
    function = '20*t'
  []
  [euler_angle_3]
    type = FunctionAux
    variable = euler_angle_3
    function = '30*t'
  []
  # output Euler angles material property to check correctness of value assignment
  [mat_euler_angle_1]
    type = MaterialRealVectorValueAux
    variable = check_euler_angle_1
    property = 'Euler_angles'
    component = 0
   []
   [mat_euler_angle_2]
    type = MaterialRealVectorValueAux
    variable = check_euler_angle_2
    property = 'Euler_angles'
    component = 1
   []
   [mat_euler_angle_3]
    type = MaterialRealVectorValueAux
    variable = check_euler_angle_3
    property = 'Euler_angles'
    component = 2
   []
[]

[BCs]
  [Periodic]
    [all]
      variable = 'disp_x'
      auto_direction = 'z'
    []
  []
  [fix_x]
    type = DirichletBC
    variable = disp_x
    boundary = 'left'
    value = 0
  []
  [fix_y]
    type = DirichletBC
    variable = disp_y
    boundary = 'bottom'
    value = 0
  []
  [fix_z]
    type = DirichletBC
    variable = disp_z
    boundary = 'back'
    value = 0
  []
  [tdisp]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'front'
    function = '0.01*t'
  []
[]

[Materials]
  [elasticity_tensor]
    type = ComputeElasticityTensorCP
    C_ijkl = '1.684e5 1.214e5 1.214e5 1.684e5 1.214e5 1.684e5 0.754e5 0.754e5 0.754e5'
    fill_method = symmetric9
    euler_angle_variables = 'euler_angle_1 euler_angle_2 euler_angle_3'
  []
  [stress]
    type = ComputeMultipleCrystalPlasticityStress
    crystal_plasticity_models = 'trial_xtalpl'
    tan_mod_type = exact
  []
  [trial_xtalpl]
    type = CrystalPlasticityKalidindiUpdate
    number_slip_systems = 12
    slip_sys_file_name = input_slip_sys.txt
  []
[]

[Postprocessors]
  [check_euler_angle_1]
    type = ElementAverageValue
    variable = check_euler_angle_1
  []
  [check_euler_angle_2]
    type = ElementAverageValue
    variable = check_euler_angle_2
  []
  [check_euler_angle_3]
    type = ElementAverageValue
    variable = check_euler_angle_3
  []
[]

[Preconditioning]
  [smp]
    type = SMP
    full = true
  []
[]

[Executioner]
  type = Transient
  solve_type = 'PJFNK'

  petsc_options_iname = '-pc_type'
  petsc_options_value = ' lu '
  nl_abs_tol = 1e-10
  nl_rel_tol = 1e-10
  nl_abs_step_tol = 1e-10

  dt = 0.1
  dtmin = 0.01
  end_time = 0.5
[]

[Outputs]
  csv = true
[]

(modules/navier_stokes/test/tests/finite_element/ins/lid_driven/steady_fsp_diagonal_of_a_for_scaling.i)

rho=1
mu=2e-3
U=1
l=1
prefactor=${fparse 1/(l/2)^2}
n=64

[GlobalParams]
  gravity = '0 0 0'
[]

[Mesh]
  [gen]
    type = DistributedRectilinearMeshGenerator
    dim = 2
    xmin = 0
    xmax = ${l}
    ymin = 0
    ymax = ${l}
    nx = ${n}
    ny = ${n}
    elem_type = QUAD4
  []
  second_order = true
  parallel_type = distributed
[]

[Variables]
  [vel_x]
    order = SECOND
    family = LAGRANGE
  []
  [vel_y]
    order = SECOND
    family = LAGRANGE
  []
  [p]
    order = FIRST
    family = LAGRANGE
  []
[]

[Kernels]
  [mass]
    type = INSMass
    variable = p
    u = vel_x
    v = vel_y
    pressure = p
  []

  [x_momentum_space]
    type = INSMomentumLaplaceForm
    variable = vel_x
    u = vel_x
    v = vel_y
    pressure = p
    component = 0
  []
  [y_momentum_space]
    type = INSMomentumLaplaceForm
    variable = vel_y
    u = vel_x
    v = vel_y
    pressure = p
    component = 1
  []
[]

[BCs]
  [x_no_slip]
    type = DirichletBC
    variable = vel_x
    boundary = 'bottom right left'
    value = 0.0
  []
  [lid]
    type = FunctionDirichletBC
    variable = vel_x
    boundary = 'top'
    function = 'lid_function'
  []
  [y_no_slip]
    type = DirichletBC
    variable = vel_y
    boundary = 'bottom right top left'
    value = 0.0
  []
[]

[Materials]
  [const]
    type = GenericConstantMaterial
    block = 0
    prop_names = 'rho mu'
    prop_values = '${rho} ${mu}'
  []
[]

[Functions]
  [lid_function]
    # We pick a function that is exactly represented in the velocity
    # space so that the Dirichlet conditions are the same regardless
    # of the mesh spacing.
    type = ParsedFunction
    expression = '${prefactor}*${U}*x*(${l}-x)'
  []
[]

[Problem]
  type = NavierStokesProblem
[]

[Preconditioning]
  [FSP]
    type = FSP
    topsplit = 'up'
    [up]
      splitting = 'u p'
      splitting_type  = schur
      petsc_options_iname = '-pc_fieldsplit_schur_fact_type  -pc_fieldsplit_schur_precondition -ksp_gmres_restart -ksp_type -ksp_pc_side -ksp_rtol'
      petsc_options_value = 'full                            self                              300                fgmres    right        1e-4'
    []
      [u]
        vars = 'vel_x vel_y'
        # petsc_options = '-ksp_converged_reason'
        petsc_options_iname = '-pc_type -pc_hypre_type -ksp_type -ksp_rtol -ksp_gmres_restart -ksp_pc_side'
        petsc_options_value = 'hypre    boomeramg      gmres     1e-2      300                right'
      []
      [p]
        vars = 'p'
        petsc_options = '-pc_lsc_scale_diag -ksp_converged_reason'# -lsc_ksp_converged_reason -lsc_ksp_monitor_true_residual
        petsc_options_iname = '-ksp_type -ksp_gmres_restart -ksp_rtol -pc_type -ksp_pc_side -lsc_pc_type -lsc_pc_hypre_type -lsc_ksp_type -lsc_ksp_rtol -lsc_ksp_pc_side -lsc_ksp_gmres_restart'
        petsc_options_value = 'fgmres    300                1e-2      lsc      right        hypre        boomeramg          gmres         1e-1          right            300'
      []
  []
[]

[Postprocessors]
  [pavg]
    type = ElementAverageValue
    variable = p
  []
[]

[Correctors]
  [set_pressure]
    type = NSPressurePin
    pin_type = 'average'
    variable = p
    pressure_average = 'pavg'
  []
[]

[Executioner]
  type = Steady
  solve_type = NEWTON
[]

[Outputs]
  [exo]
    type = Exodus
    execute_on = 'final'
    hide = 'pavg'
  []
[]

(test/tests/geomsearch/3d_moving_penetration_smoothing/pl_test3qns.i)

[GlobalParams]
  order = SECOND
  family = LAGRANGE
[]

[Mesh]
  file = pl_test3q.e
  displacements = 'disp_x disp_y disp_z'
[]

[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
[]

[AuxVariables]
  [./distance]
  [../]
  [./tangential_distance]
  [../]
  [./normal_x]
  [../]
  [./normal_y]
  [../]
  [./normal_z]
  [../]
  [./closest_point_x]
  [../]
  [./closest_point_y]
  [../]
  [./closest_point_z]
  [../]
#  [./element_id]
#  [../]
  [./side]
  [../]
[]

[Kernels]
  [./diff_x]
    type = Diffusion
    variable = disp_x
  [../]
  [./diff_y]
    type = Diffusion
    variable = disp_y
  [../]
  [./diff_z]
    type = Diffusion
    variable = disp_z
  [../]
[]

[AuxKernels]
  [./penetrate]
    type = PenetrationAux
    variable = distance
    boundary = 11            #secondary
    paired_boundary = 12     #primary
    normal_smoothing_distance = 0.2
  [../]

  [./penetrate2]
    type = PenetrationAux
    variable = distance
    boundary = 12            #secondary
    paired_boundary = 11     #primary
    normal_smoothing_distance = 0.2
  [../]

  [./penetrate3]
    type = PenetrationAux
    variable = tangential_distance
    boundary = 11
    paired_boundary = 12
    quantity = tangential_distance
  [../]

  [./penetrate4]
    type = PenetrationAux
    variable = tangential_distance
    boundary = 12
    paired_boundary = 11
    quantity = tangential_distance
  [../]

  [./penetrate5]
    type = PenetrationAux
    variable = normal_x
    boundary = 11
    paired_boundary = 12
    quantity = normal_x
  [../]

  [./penetrate6]
    type = PenetrationAux
    variable = normal_x
    boundary = 12
    paired_boundary = 11
    quantity = normal_x
  [../]

  [./penetrate7]
    type = PenetrationAux
    variable = normal_y
    boundary = 11
    paired_boundary = 12
    quantity = normal_y
  [../]

  [./penetrate8]
    type = PenetrationAux
    variable = normal_y
    boundary = 12
    paired_boundary = 11
    quantity = normal_y
  [../]

  [./penetrate9]
    type = PenetrationAux
    variable = normal_z
    boundary = 11
    paired_boundary = 12
    quantity = normal_z
  [../]

  [./penetrate10]
    type = PenetrationAux
    variable = normal_z
    boundary = 12
    paired_boundary = 11
    quantity = normal_z
  [../]

  [./penetrate11]
    type = PenetrationAux
    variable = closest_point_x
    boundary = 11
    paired_boundary = 12
    quantity = closest_point_x
  [../]

  [./penetrate12]
    type = PenetrationAux
    variable = closest_point_x
    boundary = 12
    paired_boundary = 11
    quantity = closest_point_x
  [../]

  [./penetrate13]
    type = PenetrationAux
    variable = closest_point_y
    boundary = 11
    paired_boundary = 12
    quantity = closest_point_y
  [../]

  [./penetrate14]
    type = PenetrationAux
    variable = closest_point_y
    boundary = 12
    paired_boundary = 11
    quantity = closest_point_y
  [../]

  [./penetrate15]
    type = PenetrationAux
    variable = closest_point_z
    boundary = 11
    paired_boundary = 12
    quantity = closest_point_z
  [../]

  [./penetrate16]
    type = PenetrationAux
    variable = closest_point_z
    boundary = 12
    paired_boundary = 11
    quantity = closest_point_z
  [../]

#  [./penetrate17]
#    type = PenetrationAux
#    variable = element_id
#    boundary = 11
#    paired_boundary = 12
#    quantity = element_id
#  [../]
#
#  [./penetrate18]
#    type = PenetrationAux
#    variable = element_id
#    boundary = 12
#    paired_boundary = 11
#    quantity = element_id
#  [../]

  [./penetrate19]
    type = PenetrationAux
    variable = side
    boundary = 11
    paired_boundary = 12
    quantity = side
  [../]

  [./penetrate20]
    type = PenetrationAux
    variable = side
    boundary = 12
    paired_boundary = 11
    quantity = side
  [../]
[]

[BCs]
  [./b1x]
    type = DirichletBC
    variable = disp_x
    preset = false
    boundary = 1
    value = 0
  [../]

  [./b1y]
    type = DirichletBC
    variable = disp_y
    preset = false
    boundary = 1
    value = 0
  [../]

  [./b1z]
    type = DirichletBC
    variable = disp_z
    preset = false
    boundary = 1
    value = 0
  [../]

  [./b2x]
    type = DirichletBC
    variable = disp_x
    preset = false
    boundary = 2
    value = 0
  [../]

  [./b2y]
    type = FunctionDirichletBC
    variable = disp_y
    preset = false
    boundary = 2
    function = disp_y
  [../]

  [./b2z]
    type = DirichletBC
    variable = disp_z
    preset = false
    boundary = 2
    value = 0
  [../]
[]

[Functions]
  [./disp_y]
    type = PiecewiseLinear
    x = '0.0 0.25 0.75 1.0'
    y = '0.0 2.0 -2.0  0.0'
  [../]
[]

[Executioner]
  type = Transient

  solve_type = 'PJFNK'
  petsc_options = '-snes_ksp_ew'

  nl_rel_tol = 1e-9
  l_max_its = 10

  start_time = 0.0
  dt = 0.025
  end_time = 1.0
  [./Quadrature]
    order = THIRD
  [../]
[]

[Outputs]
  file_base = pl_test3qns_out
  exodus = true
[]

(modules/contact/test/tests/verification/hertz_cyl/half_symm_q4/hertz_cyl_half_1deg_template1.i)

[GlobalParams]
  volumetric_locking_correction = true
  displacements = 'disp_x disp_y'
[]

[Mesh]
  file = hertz_cyl_half_1deg.e
[]

[Problem]
  type = ReferenceResidualProblem
  extra_tag_vectors = 'ref'
  reference_vector = 'ref'
[]

[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
[]

[AuxVariables]
  [./stress_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./saved_x]
  [../]
  [./saved_y]
  [../]
  [./diag_saved_x]
  [../]
  [./diag_saved_y]
  [../]
  [./inc_slip_x]
  [../]
  [./inc_slip_y]
  [../]
  [./accum_slip_x]
  [../]
  [./accum_slip_y]
  [../]
  [./tang_force_x]
  [../]
  [./tang_force_y]
  [../]
[]

[Functions]
  [./disp_ramp_vert]
    type = PiecewiseLinear
    x = '0. 1. 3.5'
    y = '0. -0.0020 -0.0020'
  [../]
  [./disp_ramp_horz]
    type = PiecewiseLinear
    x = '0. 1. 3.5'
    y = '0. 0.0 0.0014'
  [../]
[]

[Kernels]
  [./TensorMechanics]
    use_displaced_mesh = true
    save_in = 'saved_x saved_y'
    extra_vector_tags = 'ref'
  [../]
[]

[AuxKernels]
  [./stress_xx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xx
    index_i = 0
    index_j = 0
    execute_on = timestep_end
  [../]
  [./stress_yy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yy
    index_i = 1
    index_j = 1
    execute_on = timestep_end
  [../]
  [./stress_xy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xy
    index_i = 0
    index_j = 1
    execute_on = timestep_end
  [../]
  [./inc_slip_x]
    type = PenetrationAux
    variable = inc_slip_x
    execute_on = timestep_end
    boundary = 3
    paired_boundary = 2
  [../]
  [./inc_slip_y]
    type = PenetrationAux
    variable = inc_slip_y
    execute_on = timestep_end
    boundary = 3
    paired_boundary = 2
  [../]
  [./accum_slip_x]
    type = PenetrationAux
    variable = accum_slip_x
    execute_on = timestep_end
    boundary = 3
    paired_boundary = 2
  [../]
  [./accum_slip_y]
    type = PenetrationAux
    variable = accum_slip_y
    execute_on = timestep_end
    boundary = 3
    paired_boundary = 2
  [../]
  [./tang_force_x]
    type = PenetrationAux
    variable = tang_force_x
    quantity = tangential_force_x
    boundary = 3
    paired_boundary = 2
  [../]
  [./tang_force_y]
    type = PenetrationAux
    variable = tang_force_y
    quantity = tangential_force_y
    boundary = 3
    paired_boundary = 2
  [../]
  [./penetration]
    type = PenetrationAux
    variable = penetration
    boundary = 3
    paired_boundary = 2
  [../]
[]

[Postprocessors]
  [./bot_react_x]
    type = NodalSum
    variable = saved_x
    boundary = 1
  [../]
  [./bot_react_y]
    type = NodalSum
    variable = saved_y
    boundary = 1
  [../]
  [./top_react_x]
    type = NodalSum
    variable = saved_x
    boundary = 4
  [../]
  [./top_react_y]
    type = NodalSum
    variable = saved_y
    boundary = 4
  [../]
  [./disp_x226]
    type = NodalVariableValue
    nodeid = 225
    variable = disp_x
  [../]
  [./disp_y226]
    type = NodalVariableValue
    nodeid = 225
    variable = disp_y
  [../]
  [./_dt]
    type = TimestepSize
  [../]
  [./num_lin_it]
    type = NumLinearIterations
  [../]
  [./num_nonlin_it]
    type = NumNonlinearIterations
  [../]
[]

[BCs]
  [./side_x]
    type = DirichletBC
    variable = disp_y
    boundary = '1 2'
    value = 0.0
  [../]
  [./bot_y]
    type = DirichletBC
    variable = disp_x
    boundary = '1 2'
    value = 0.0
  [../]
  [./top_y_disp]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 4
    function = disp_ramp_vert
  [../]
  [./top_x_disp]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 4
    function = disp_ramp_horz
  [../]
[]

[Materials]
  [./stuff1_elas_tens]
    type = ComputeIsotropicElasticityTensor
    block = '1'
    youngs_modulus = 1e10
    poissons_ratio = 0.0
  [../]
  [./stuff1_strain]
    type = ComputeFiniteStrain
    block = '1'
  [../]
  [./stuff1_stress]
    type = ComputeFiniteStrainElasticStress
    block = '1'
  [../]
  [./stuff2_elas_tens]
    type = ComputeIsotropicElasticityTensor
    block = '2'
    youngs_modulus = 1e6
    poissons_ratio = 0.3
  [../]
  [./stuff2_strain]
    type = ComputeFiniteStrain
    block = '2'
  [../]
  [./stuff2_stress]
    type = ComputeFiniteStrainElasticStress
    block = '2'
  [../]
  [./stuff3_elas_tens]
    type = ComputeIsotropicElasticityTensor
    block = '3'
    youngs_modulus = 1e6
    poissons_ratio = 0.3
  [../]
  [./stuff3_strain]
    type = ComputeFiniteStrain
    block = '3'
  [../]
  [./stuff3_stress]
    type = ComputeFiniteStrainElasticStress
    block = '3'
  [../]
  [./stuff4_elas_tens]
    type = ComputeIsotropicElasticityTensor
    block = '4'
    youngs_modulus = 1e6
    poissons_ratio = 0.3
  [../]
  [./stuff4_strain]
    type = ComputeFiniteStrain
    block = '4'
  [../]
  [./stuff4_stress]
    type = ComputeFiniteStrainElasticStress
    block = '4'
  [../]
  [./stuff5_elas_tens]
    type = ComputeIsotropicElasticityTensor
    block = '5'
    youngs_modulus = 1e6
    poissons_ratio = 0.3
  [../]
  [./stuff5_strain]
    type = ComputeFiniteStrain
    block = '5'
  [../]
  [./stuff5_stress]
    type = ComputeFiniteStrainElasticStress
    block = '5'
  [../]
  [./stuff6_elas_tens]
    type = ComputeIsotropicElasticityTensor
    block = '6'
    youngs_modulus = 1e6
    poissons_ratio = 0.3
  [../]
  [./stuff6_strain]
    type = ComputeFiniteStrain
    block = '6'
  [../]
  [./stuff6_stress]
    type = ComputeFiniteStrainElasticStress
    block = '6'
  [../]
  [./stuff7_elas_tens]
    type = ComputeIsotropicElasticityTensor
    block = '7'
    youngs_modulus = 1e6
    poissons_ratio = 0.3
  [../]
  [./stuff7_strain]
    type = ComputeFiniteStrain
    block = '7'
  [../]
  [./stuff7_stress]
    type = ComputeFiniteStrainElasticStress
    block = '7'
  [../]
[]

[Executioner]
  type = Transient

  #Preconditioned JFNK (default)
  solve_type = 'PJFNK'

  petsc_options_iname = '-pc_type -pc_factor_mat_solver_type'
  petsc_options_value = 'lu     superlu_dist'

  line_search = 'none'

  nl_abs_tol = 1e-6
  nl_rel_tol = 1e-5
  l_max_its = 100
  nl_max_its = 200

  start_time = 0.0
  end_time = 3.5
  l_tol = 1e-3
  dt = 0.1
  dtmin = 0.1
[]

[Preconditioning]
  [./SMP]
    type = SMP
    full = true
  [../]
[]

[VectorPostprocessors]
  [./x_disp]
    type = NodalValueSampler
    variable = disp_x
    boundary = '3 4'
    sort_by = id
  [../]
  [./y_disp]
    type = NodalValueSampler
    variable = disp_y
    boundary = '3 4'
    sort_by = id
  [../]
  [./cont_press]
    type = NodalValueSampler
    variable = contact_pressure
    boundary = '3'
    sort_by = id
  [../]
[]

[Outputs]
  print_linear_residuals = true
  perf_graph = true
  [./exodus]
    type = Exodus
    elemental_as_nodal = true
  [../]
  [./console]
    type = Console
    max_rows = 5
  [../]
  [./chkfile]
    type = CSV
    show = 'x_disp y_disp cont_press'
    start_time = 0.9
    execute_vector_postprocessors_on = timestep_end
  [../]
  [./chkfile2]
    type = CSV
    show = 'bot_react_x bot_react_y disp_x226 disp_y226 top_react_x top_react_y'
    start_time = 0.9
    execute_vector_postprocessors_on = timestep_end
  [../]
  [./outfile]
    type = CSV
    delimiter = ' '
    execute_vector_postprocessors_on = none
  [../]
[]

[Contact]
  [./interface]
    primary = 2
    secondary = 3
    normalize_penalty = true
    tangential_tolerance = 1e-3
    penalty = 1e+10
  [../]
[]

(modules/solid_mechanics/test/tests/umat/plane_strain/generalized_plane_strain.i)

# Testing the UMAT Interface - creep linear strain hardening model using the finite strain formulation - visco-plastic material.
# Uses 2D plane strain

[GlobalParams]
  displacements = 'disp_x disp_y'
[]

[Mesh]
  [gen]
    type = GeneratedMeshGenerator
    dim = 2
    xmin = -0.5
    xmax = 0.5
    ymin = -0.5
    ymax = 0.5
  []
[]

[Functions]
  [top_pull]
    type = ParsedFunction
    expression = t/100
  []
[]

[Variables]
  [scalar_strain_zz]
    order = FIRST
    family = SCALAR
  []
[]

[Physics/SolidMechanics/QuasiStatic]
  [all]
    add_variables = true
    strain = FINITE
    generate_output = 'strain_yy stress_yy stress_zz'
    planar_formulation = GENERALIZED_PLANE_STRAIN
    scalar_out_of_plane_strain = scalar_strain_zz
  []
[]

[BCs]
  [y_pull_function]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = top
    function = top_pull
  []
  [x_bot]
    type = DirichletBC
    variable = disp_x
    boundary = left
    value = 0.0
  []
  [y_bot]
    type = DirichletBC
    variable = disp_y
    boundary = bottom
    value = 0.0
  []
[]

[Materials]
  [constant]
    type = AbaqusUMATStress
    #                      Young's modulus,  Poisson's Ratio, Yield, Hardening
    constant_properties = '1000 0.3 10 100'
    plugin = ../../../plugins/linear_strain_hardening
    num_state_vars = 3
    use_one_based_indexing = true
  []
[]

[Executioner]
  type = Transient
  solve_type = 'PJFNK'

  petsc_options = '-snes_ksp_ew'
  petsc_options_iname = '-ksp_gmres_restart'
  petsc_options_value = '101'

  line_search = 'none'

  l_max_its = 100
  nl_max_its = 100
  nl_rel_tol = 1e-12
  nl_abs_tol = 1e-10
  l_tol = 1e-9
  start_time = 0.0
  num_steps = 30
  dt = 1.0
[]

[Preconditioning]
  [smp]
    type = SMP
    full = true
  []
[]

[Postprocessors]
  [average_strain_yy]
    type = ElementAverageValue
    variable = 'strain_yy'
  []
  [average_stress_yy]
    type = ElementAverageValue
    variable = 'stress_yy'
  []
  [average_stress_zz]
    type = ElementAverageValue
    variable = 'stress_zz'
  []
[]

[Outputs]
  [out]
    type = Exodus
    elemental_as_nodal = true
  []
[]

(test/tests/multiapps/restart_multilevel/subsub.i)

[Mesh]
  type = GeneratedMesh
  dim = 1
  xmin = 0
  xmax = 1
  nx = 10
[]

[Functions]
  [./u_fn]
    type = ParsedFunction
    expression = t*x
  [../]
  [./ffn]
    type = ParsedFunction
    expression = x
  [../]
[]

[Variables]
  [./u]
  [../]
[]

[Kernels]
  [./diff]
    type = Diffusion
    variable = u
  [../]
  [./td]
    type = TimeDerivative
    variable = u
  [../]
  [./fn]
    type = BodyForce
    variable = u
    function = ffn
  [../]
[]

[BCs]
  [./left]
    type = DirichletBC
    variable = u
    boundary = left
    value = 0
  [../]
  [./right]
    type = FunctionDirichletBC
    variable = u
    boundary = right
    function = u_fn
  [../]
[]

[Executioner]
  type = Transient
  num_steps = 5
  dt = 0.1
  solve_type = 'PJFNK'
[]

[Outputs]
  exodus = true
[]

(modules/solid_mechanics/test/tests/dynamics/wave_1D/wave_rayleigh_newmark_action.i)

# Wave propogation in 1D using Newmark time integration in the presence of Rayleigh damping
#
# The test is for an 1D bar element of length 4m  fixed on one end
# with a sinusoidal pulse dirichlet boundary condition applied to the other end.
# beta and gamma are Newmark  time integration parameters
# eta and zeta are mass dependent and stiffness dependent Rayleigh damping
# coefficients, respectively.
# The equation of motion in terms of matrices is:
#
# M*accel + (eta*M+zeta*K)*vel +K*disp = 0
#
# Here M is the mass matrix, K is the stiffness matrix
#
# The displacement at the second, third and fourth node at t = 0.1 are
# -7.776268399030435152e-02, 1.949967184623528985e-02 and -4.615737877580032046e-03, respectively

[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 4
  nz = 1
  xmin = 0.0
  xmax = 0.1
  ymin = 0.0
  ymax = 4.0
  zmin = 0.0
  zmax = 0.1
[]

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]

[AuxVariables]
  [stress_yy]
    order = CONSTANT
    family = MONOMIAL
  []
  [strain_yy]
    order = CONSTANT
    family = MONOMIAL
  []
[]

[Physics/SolidMechanics/Dynamic]
  [all]
    add_variables = true
    stiffness_damping_coefficient = 0.1
    mass_damping_coefficient = 0.1
    newmark_beta = 0.3025
    newmark_gamma = 0.6
    strain = SMALL
    density = 1
  []
[]

[AuxKernels]
  [stress_yy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yy
    index_i = 0
    index_j = 1
  []
  [strain_yy]
    type = RankTwoAux
    rank_two_tensor = total_strain
    variable = strain_yy
    index_i = 0
    index_j = 1
  []
[]

[BCs]
  [top_y]
    type = DirichletBC
    variable = disp_y
    boundary = top
    value = 0.0
  []
  [top_x]
    type = DirichletBC
    variable = disp_x
    boundary = top
    value = 0.0
  []
  [top_z]
    type = DirichletBC
    variable = disp_z
    boundary = top
    value = 0.0
  []
  [right_x]
    type = DirichletBC
    variable = disp_x
    boundary = right
    value = 0.0
  []
  [right_z]
    type = DirichletBC
    variable = disp_z
    boundary = right
    value = 0.0
  []
  [left_x]
    type = DirichletBC
    variable = disp_x
    boundary = left
    value = 0.0
  []
  [left_z]
    type = DirichletBC
    variable = disp_z
    boundary = left
    value = 0.0
  []
  [front_x]
    type = DirichletBC
    variable = disp_x
    boundary = front
    value = 0.0
  []
  [front_z]
    type = DirichletBC
    variable = disp_z
    boundary = front
    value = 0.0
  []
  [back_x]
    type = DirichletBC
    variable = disp_x
    boundary = back
    value = 0.0
  []
  [back_z]
    type = DirichletBC
    variable = disp_z
    boundary = back
    value = 0.0
  []
  [bottom_x]
    type = DirichletBC
    variable = disp_x
    boundary = bottom
    value = 0.0
  []
  [bottom_z]
    type = DirichletBC
    variable = disp_z
    boundary = bottom
    value = 0.0
  []
  [bottom_y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = bottom
    function = displacement_bc
  []
[]

[Materials]
  [Elasticity_tensor]
    type = ComputeElasticityTensor
    block = 0
    fill_method = symmetric_isotropic
    C_ijkl = '1 0'
  []
  [stress]
    type = ComputeLinearElasticStress
    block = 0
  []
[]

[Executioner]
  type = Transient
  start_time = 0
  end_time = 6.0
  l_tol = 1e-12
  nl_rel_tol = 1e-12
  dt = 0.1
[]

[Functions]
  [displacement_bc]
    type = PiecewiseLinear
    data_file = 'sine_wave.csv'
    format = columns
  []

[]

[Postprocessors]
  [_dt]
    type = TimestepSize
  []
  [disp_1]
    type = NodalVariableValue
    nodeid = 1
    variable = disp_y
  []
  [disp_2]
    type = NodalVariableValue
    nodeid = 3
    variable = disp_y
  []
  [disp_3]
    type = NodalVariableValue
    nodeid = 10
    variable = disp_y
  []
  [disp_4]
    type = NodalVariableValue
    nodeid = 14
    variable = disp_y
  []
[]

[Outputs]
  exodus = true
  perf_graph = true
[]

(modules/solid_mechanics/test/tests/crystal_plasticity/hcp_single_crystal/update_method_hcp_no_negative_aprismatic.i)

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]

[Mesh]
  [cube]
    type = GeneratedMeshGenerator
    dim = 3
    nx = 2
    ny = 2
    nz = 2
    elem_type = HEX8
  []
  [center_node]
    type = BoundingBoxNodeSetGenerator
    input = cube
    new_boundary = 'center_point'
    top_right = '0.51 0.51 0'
    bottom_left = '0.49 0.49 0'
  []
  [back_edge_y]
    type = BoundingBoxNodeSetGenerator
    input = center_node
    new_boundary = 'back_edge_y'
    bottom_left = '0.9 0.5 0'
    top_right = '1.1 0.5 0'
  []
  [back_edge_x]
    type = BoundingBoxNodeSetGenerator
    input = back_edge_y
    new_boundary = back_edge_x
    bottom_left = '0.5 0.9 0'
    top_right =   '0.5 1.0 0'
  []
[]

[AuxVariables]
  [temperature]
    initial_condition = 300
  []
  [pk2]
    order = CONSTANT
    family = MONOMIAL
  []
  [fp_zz]
    order = CONSTANT
    family = MONOMIAL
  []
  [resolved_shear_stress_0]
   order = CONSTANT
   family = MONOMIAL
  []
  [resolved_shear_stress_1]
   order = CONSTANT
   family = MONOMIAL
  []
  [resolved_shear_stress_2]
   order = CONSTANT
   family = MONOMIAL
  []
  [resolved_shear_stress_12]
   order = CONSTANT
   family = MONOMIAL
  []
  [resolved_shear_stress_13]
   order = CONSTANT
   family = MONOMIAL
  []
  [forest_dislocations_0]
   order = CONSTANT
   family = MONOMIAL
  []
  [forest_dislocations_1]
   order = CONSTANT
   family = MONOMIAL
  []
  [forest_dislocations_2]
   order = CONSTANT
   family = MONOMIAL
  []
  [forest_dislocations_12]
   order = CONSTANT
   family = MONOMIAL
  []
  [forest_dislocations_13]
   order = CONSTANT
   family = MONOMIAL
  []
  [substructure_density]
   order = CONSTANT
   family = MONOMIAL
  []
  [slip_resistance_0]
   order = CONSTANT
   family = MONOMIAL
  []
  [slip_resistance_1]
   order = CONSTANT
   family = MONOMIAL
  []
  [slip_resistance_2]
   order = CONSTANT
   family = MONOMIAL
  []
  [slip_resistance_12]
   order = CONSTANT
   family = MONOMIAL
  []
  [slip_resistance_13]
   order = CONSTANT
   family = MONOMIAL
  []
[]

[Physics/SolidMechanics/QuasiStatic/all]
  strain = FINITE
  incremental = true
  add_variables = true
[]

[AuxKernels]
  [pk2]
    type = RankTwoAux
    variable = pk2
    rank_two_tensor = second_piola_kirchhoff_stress
    index_j = 2
    index_i = 2
    execute_on = timestep_end
  []
  [fp_zz]
    type = RankTwoAux
    variable = fp_zz
    rank_two_tensor = plastic_deformation_gradient
    index_j = 2
    index_i = 2
    execute_on = timestep_end
  []
  [tau_0]
    type = MaterialStdVectorAux
    variable = resolved_shear_stress_0
    property = applied_shear_stress
    index = 0
    execute_on = timestep_end
  []
  [tau_1]
    type = MaterialStdVectorAux
    variable = resolved_shear_stress_1
    property = applied_shear_stress
    index = 1
    execute_on = timestep_end
  []
  [tau_2]
    type = MaterialStdVectorAux
    variable = resolved_shear_stress_2
    property = applied_shear_stress
    index = 2
    execute_on = timestep_end
  []
  [tau_12]
    type = MaterialStdVectorAux
    variable = resolved_shear_stress_12
    property = applied_shear_stress
    index = 12
    execute_on = timestep_end
  []
  [tau_13]
    type = MaterialStdVectorAux
    variable = resolved_shear_stress_13
    property = applied_shear_stress
    index = 13
    execute_on = timestep_end
  []

  [forest_dislocations_0]
    type = MaterialStdVectorAux
    variable = forest_dislocations_0
    property = forest_dislocation_density
    index = 0
    execute_on = timestep_end
  []
  [forest_dislocations_1]
    type = MaterialStdVectorAux
    variable = forest_dislocations_1
    property = forest_dislocation_density
    index = 1
    execute_on = timestep_end
  []
  [forest_dislocations_2]
    type = MaterialStdVectorAux
    variable = forest_dislocations_2
    property = forest_dislocation_density
    index = 2
    execute_on = timestep_end
  []
  [forest_dislocations_12]
    type = MaterialStdVectorAux
    variable = forest_dislocations_12
    property = forest_dislocation_density
    index = 12
    execute_on = timestep_end
  []
  [forest_dislocations_13]
    type = MaterialStdVectorAux
    variable = forest_dislocations_13
    property = forest_dislocation_density
    index = 13
    execute_on = timestep_end
  []
  [substructure_density]
    type = MaterialRealAux
    variable = substructure_density
    property = total_substructure_density
    execute_on = timestep_end
  []
  [slip_resistance_0]
    type = MaterialStdVectorAux
    variable = slip_resistance_0
    property = slip_resistance
    index = 0
    execute_on = timestep_end
  []
  [slip_resistance_1]
    type = MaterialStdVectorAux
    variable = slip_resistance_1
    property = slip_resistance
    index = 1
    execute_on = timestep_end
  []
  [slip_resistance_2]
    type = MaterialStdVectorAux
    variable = slip_resistance_2
    property = slip_resistance
    index = 2
    execute_on = timestep_end
  []
  [slip_resistance_12]
    type = MaterialStdVectorAux
    variable = slip_resistance_12
    property = slip_resistance
    index = 12
    execute_on = timestep_end
  []
  [slip_resistance_13]
    type = MaterialStdVectorAux
    variable = slip_resistance_13
    property = slip_resistance
    index = 13
    execute_on = timestep_end
  []
[]

[BCs]
  [fix_y]
    type = DirichletBC
    variable = disp_y
    preset = true
    boundary = 'center_point back_edge_y'
    value = 0
  []
  [fix_x]
    type = DirichletBC
    variable = disp_x
    boundary = 'center_point back_edge_x'
    value = 0
  []
  [fix_z]
    type = DirichletBC
    variable = disp_z
    boundary = 'back'
    value = 0
  []
  [tdisp]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = front
    function = '0.001*t'
  []
[]

[Materials]
  [elasticity_tensor]
    type = ComputeElasticityTensorCP
    C_ijkl = '1.622e5 9.18e4 6.88e4 1.622e5 6.88e4 1.805e5 4.67e4 4.67e4 4.67e4' #alpha Ti, Alankar et al. Acta Materialia 59 (2011) 7003-7009
    fill_method = symmetric9
    euler_angle_1 = 164.5
    euler_angle_2 =  90.0
    euler_angle_3 =  15.3
  []
  [stress]
    type = ComputeMultipleCrystalPlasticityStress
    crystal_plasticity_models = 'trial_xtalpl'
    tan_mod_type = exact
  []
  [trial_xtalpl]
    type = CrystalPlasticityHCPDislocationSlipBeyerleinUpdate
    number_slip_systems = 15
    slip_sys_file_name = hcp_aprismatic_capyramidal_slip_sys.txt
    unit_cell_dimension = '2.934e-7 2.934e-7 4.657e-7' #Ti, in mm, https://materialsproject.org/materials/mp-46/
    temperature = temperature
    initial_forest_dislocation_density = 15.0
    zero_tol = 1.1
    initial_substructure_density = 1.0e3
    slip_system_modes = 2
    number_slip_systems_per_mode = '3 12'
    lattice_friction_per_mode = '0.5 5'
    effective_shear_modulus_per_mode = '4.7e4 4.7e4' #Ti, in MPa, https://materialsproject.org/materials/mp-46/
    burgers_vector_per_mode = '2.934e-7 6.586e-7' #Ti, in mm, https://materialsproject.org/materials/mp-46/
    slip_generation_coefficient_per_mode = '-1e5 -2e7'
    normalized_slip_activiation_energy_per_mode = '4e-3 3e-2'
    slip_energy_proportionality_factor_per_mode = '330 100'
    substructure_rate_coefficient_per_mode = '400 100'
    applied_strain_rate = 0.001
    gamma_o = 1.0e-3
    Hall_Petch_like_constant_per_mode = '2e-3 2e-3' #minimize impact
    grain_size = 20.0e-3 #20 microns
  []
[]

[Postprocessors]
  [pk2]
    type = ElementAverageValue
    variable = pk2
  []
  [fp_zz]
    type = ElementAverageValue
    variable = fp_zz
  []
  [tau_0]
    type = ElementAverageValue
    variable = resolved_shear_stress_0
  []
  [tau_1]
    type = ElementAverageValue
    variable = resolved_shear_stress_1
  []
  [tau_2]
    type = ElementAverageValue
    variable = resolved_shear_stress_2
  []
  [tau_12]
    type = ElementAverageValue
    variable = resolved_shear_stress_12
  []
  [tau_13]
    type = ElementAverageValue
    variable = resolved_shear_stress_13
  []

  [forest_dislocation_0]
    type = ElementAverageValue
    variable = forest_dislocations_0
  []
  [forest_dislocation_1]
    type = ElementAverageValue
    variable = forest_dislocations_1
  []
  [forest_dislocation_2]
    type = ElementAverageValue
    variable = forest_dislocations_2
  []
  [forest_dislocation_12]
    type = ElementAverageValue
    variable = forest_dislocations_12
  []
  [forest_dislocation_13]
    type = ElementAverageValue
    variable = forest_dislocations_13
  []
  [substructure_density]
    type = ElementAverageValue
    variable = substructure_density
  []

  [slip_resistance_0]
    type = ElementAverageValue
    variable = slip_resistance_0
  []
  [slip_resistance_1]
    type = ElementAverageValue
    variable = slip_resistance_1
  []
  [slip_resistance_2]
    type = ElementAverageValue
    variable = slip_resistance_2
  []
  [slip_resistance_12]
    type = ElementAverageValue
    variable = slip_resistance_12
  []
  [slip_resistance_13]
    type = ElementAverageValue
    variable = slip_resistance_13
  []
[]

[Preconditioning]
  [smp]
    type = SMP
    full = true
  []
[]

[Executioner]
  type = Transient
  solve_type = 'PJFNK'

  petsc_options_iname = '-pc_type -pc_asm_overlap -sub_pc_type -ksp_type -ksp_gmres_restart'
  petsc_options_value = ' asm      2              lu            gmres     200'
  nl_abs_tol = 1e-10
  nl_rel_tol = 1e-10
  nl_abs_step_tol = 1e-10
  nl_max_its = 20
  l_max_its = 50

  dt = 0.00375
  dtmin = 1.0e-4
  dtmax = 0.1
  num_steps = 9
[]

[Outputs]
  csv = true
[]

(test/tests/multiapps/picard_multilevel/multilevel_dt_rejection/picard_sub.i)

[Mesh]
  type = GeneratedMesh
  dim = 2
  nx = 10
  ny = 10
[]

[Variables]
  [v]
  []
[]

[AuxVariables]
  [v2]
  []
  [v3]
  []
  [w]
  []
[]

[AuxKernels]
  [set_w]
    type = NormalizationAux
    variable = w
    source_variable = v
    normal_factor = 0.1
  []
[]

[Kernels]
  [diff_v]
    type = Diffusion
    variable = v
  []
  [coupled_force]
    type = CoupledForce
    variable = v
    v = v2
  []
  [coupled_force2]
    type = CoupledForce
    variable = v
    v = v3
  []
  [td_v]
    type = TimeDerivative
    variable = v
  []
[]

[BCs]
  [left_v]
    type = FunctionDirichletBC
    variable = v
    boundary = left
    function = func
  []
  [right_v]
    type = DirichletBC
    variable = v
    boundary = right
    value = 0
  []
[]

[Functions]
  [func]
    type = ParsedFunction
    expression = 'if(t < 2.5, 1, 1 / t)'
  []
[]

[Postprocessors]
  [picard_its]
    type = NumFixedPointIterations
    execute_on = 'initial timestep_end'
  []
  [parent_time]
    type = Receiver
    execute_on = 'timestep_end'
  []
  [parent_dt]
    type = Receiver
    execute_on = 'timestep_end'
  []
  [time]
    type = TimePostprocessor
    execute_on = 'timestep_end'
  []
  [dt]
    type = TimestepSize
    execute_on = 'timestep_end'
  []
[]

[Executioner]
  type = Transient
  solve_type = PJFNK
  petsc_options_iname = '-pc_type -pc_hypre_type'
  petsc_options_value = 'hypre boomeramg'
  fixed_point_max_its = 2 # deliberately make it fail at 2 to test the time step rejection behavior
  nl_rel_tol = 1e-5 # loose enough to force multiple Picard iterations on this example
  l_tol = 1e-5 # loose enough to force multiple Picard iterations on this example
  fixed_point_rel_tol = 1e-8
  num_steps = 2
[]

[MultiApps]
  [sub2]
    type = TransientMultiApp
    positions = '0 0 0'
    input_files = picard_sub2.i
    execute_on = timestep_end
  []
[]

[Transfers]
  [v_to_v3]
    type = MultiAppGeneralFieldNearestLocationTransfer
    from_multi_app = sub2
    source_variable = v
    variable = v3
  []
  [w]
    type = MultiAppGeneralFieldNearestLocationTransfer
    to_multi_app = sub2
    source_variable = w
    variable = w
  []
  [time_to_sub]
    type = MultiAppPostprocessorTransfer
    from_postprocessor = time
    to_postprocessor = sub_time
    to_multi_app = sub2
  []
  [dt_to_sub]
    type = MultiAppPostprocessorTransfer
    from_postprocessor = dt
    to_postprocessor = sub_dt
    to_multi_app = sub2
  []
  [matser_time_to_sub]
    type = MultiAppPostprocessorTransfer
    from_postprocessor = time
    to_postprocessor = parent_time
    to_multi_app = sub2
  []
  [parent_dt_to_sub]
    type = MultiAppPostprocessorTransfer
    from_postprocessor = dt
    to_postprocessor = parent_dt
    to_multi_app = sub2
  []
[]

(modules/solid_mechanics/test/tests/cohesive_zone_model/czm_traction_separation_base.i)

# base test to check the implemantation traction separation laws
# Loads are expressed using functions. See the czm_materials/3DC section in the
# test file  for examples.
[Mesh]
  [./msh]
    type = GeneratedMeshGenerator
    dim = 3
    nx = 2
    ny = 1
    nz = 1
  []
  [./subdomain_1]
    type = SubdomainBoundingBoxGenerator
    input = msh
    bottom_left = '0 0 0'
    block_id = 1
    top_right = '0.5 1 1'
  []
  [./subdomain_2]
    type = SubdomainBoundingBoxGenerator
    input = subdomain_1
    bottom_left = '0.5 0 0'
    block_id = 2
    top_right = '1 1 1'
  []
  [./breakmesh]
    input = subdomain_2
    type = BreakMeshByBlockGenerator
  [../]
  [add_side_sets]
    input = breakmesh
    type = SideSetsFromNormalsGenerator
    normals = '0 -1  0
               0  1  0
               -1 0  0
               1  0  0
               0  0 -1
               0  0  1'
    fixed_normal = true
    new_boundary = 'y0 y1 x0 x1 z0 z1'
  []
[]

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]

[Physics/SolidMechanics/QuasiStatic]
  [./all]
    strain = SMALL
    add_variables = true
    generate_output = 'stress_xx stress_yy stress_zz stress_yz stress_xz stress_xy'
  [../]
[]

[Physics/SolidMechanics/CohesiveZone]
  [./czm1]
    strain = SMALL
    boundary = 'interface'
    generate_output = 'traction_x traction_y traction_z normal_traction tangent_traction jump_x jump_y jump_z normal_jump tangent_jump'
  [../]
[]

[BCs]
  [./left_x]
    type = DirichletBC
    variable = disp_x
    preset = false
    boundary = x0
    value = 0.0
  [../]
  [./left_y]
    type = DirichletBC
    variable = disp_y
    preset = false
    boundary = x0
    value = 0.0
  [../]
  [./left_z]
    type = DirichletBC
    variable = disp_z
    preset = false
    boundary = x0
    value = 0.0
  [../]
  [./right_x]
    type = FunctionDirichletBC
    variable = disp_x
    preset = false
    boundary = x1
  [../]
  [./right_y]
    type = FunctionDirichletBC
    variable = disp_y
    preset = false
    boundary = x1
  [../]
  [./right_z]
    type = FunctionDirichletBC
    variable = disp_z
    preset = false
    boundary = x1
  [../]
[]

[Materials]
  [./Elasticity_tensor]
    type = ComputeElasticityTensor
    block = '1 2'
    fill_method = symmetric_isotropic
    C_ijkl = '0.3 0.5e8'
  [../]
  [./stress]
    type = ComputeLinearElasticStress
    block = '1 2'
  [../]
  [./czm_mat]
    boundary = 'interface'
  [../]
[]

[Preconditioning]
  [./SMP]
    type = SMP
    full = true
  [../]
[]

[Executioner]
  type = Transient
  petsc_options_iname = '-pc_type'
  petsc_options_value = 'lu'
  solve_type = NEWTON
  nl_abs_tol = 1e-8
  nl_rel_tol = 1e-6
  nl_max_its = 5
  l_tol = 1e-10
  l_max_its = 50
  start_time = 0.0
  dt = 0.2
  end_time = 3
  dtmin = 0.2
  line_search = none
[]

[Outputs]
  [./out]
    type = Exodus
  [../]
[]

(modules/navier_stokes/test/tests/finite_element/pins/channel-flow/pm_heat_source.i)

# This test case tests the porous-medium flow with volumetric heat source
#
# At the steady state, the energy balance is given by
#   rho * u * (h_out - h_in) = q''' * L
#
# with rho * u = 100; cp = 100; q''' = 1e6, L = 1, it is easy to obtain:
#   T_out - T_in = 1e6 / (100 * 100) = 100
#
# This can be verified by check the T_out - T_in

[GlobalParams]
  gravity = '0 0 0'

  order = FIRST
  family = LAGRANGE

  u = vel_x
  v = vel_y
  pressure = p
  temperature = T
  porosity = porosity
  eos = eos
[]

[Mesh]
  type = GeneratedMesh
  dim = 2
  xmin = 0
  xmax = 1
  ymin = 0
  ymax = 0.1
  nx = 10
  ny = 4
  elem_type = QUAD4
[]

[FluidProperties]
  [./eos]
    type = SimpleFluidProperties
    density0 = 100              # kg/m^3
    thermal_expansion = 0       # K^{-1}
    cp =  100
    viscosity = 0.1             # Pa-s, Re=rho*u*L/mu = 100*1*0.1/0.1 = 100
    thermal_conductivity = 0.1
  [../]
[]

[Functions]
  [v_in]
    type = PiecewiseLinear
    x = '0   1e5'
    y = '1     1'
  []
  [T_in]
    type = PiecewiseLinear
    x = '0    1e5'
    y = '630  630'
  []
[]

[Variables]
  # velocity
  [vel_x]
    initial_condition = 1
  []
  [vel_y]
    initial_condition = 0
  []
  [p]
    initial_condition = 1e5
  []
  [T]
    scaling = 1e-3
    initial_condition = 630
  []
[]

[AuxVariables]
  [rho]
    initial_condition = 100
  []
  [porosity]
    initial_condition = 0.4
  []
  [vol_heat]
    initial_condition = 1e6
  []
[]

[Materials]
  [mat]
    type = PINSFEMaterial
    alpha = 1000
    beta = 100
  []
[]


[Kernels]
  [mass_time]
    type = PINSFEFluidPressureTimeDerivative
    variable = p
  []
  [mass_space]
    type = INSFEFluidMassKernel
    variable = p
  []

  [x_momentum_time]
    type = PINSFEFluidVelocityTimeDerivative
    variable = vel_x
  []
  [x_momentum_space]
    type = INSFEFluidMomentumKernel
    variable = vel_x
    component = 0
  []

  [y_momentum_time]
    type = PINSFEFluidVelocityTimeDerivative
    variable = vel_y
  []
  [y_momentum_space]
    type = INSFEFluidMomentumKernel
    variable = vel_y
    component = 1
  []

  [temperature_time]
    type = PINSFEFluidTemperatureTimeDerivative
    variable = T
  [../]
  [temperature_space]
    type = INSFEFluidEnergyKernel
    variable = T
    power_density = vol_heat
  []
[]

[AuxKernels]
  [rho_aux]
    type = FluidDensityAux
    variable = rho
    p = p
    T = T
    fp = eos
  []
[]

[BCs]
  # BCs for mass equation
  # Inlet
  [mass_inlet]
    type = INSFEFluidMassBC
    variable = p
    boundary = 'left'
    v_fn = v_in
  []
  # Outlet
  [./pressure_out]
    type = DirichletBC
    variable = p
    boundary = 'right'
    value = 1e5
  [../]

  # BCs for x-momentum equation
  # Inlet
  [vx_in]
    type = FunctionDirichletBC
    variable = vel_x
    boundary = 'left'
    function = v_in
  []
  # Outlet (no BC is needed)

  # BCs for y-momentum equation
  # Both Inlet and Outlet, and Top and Bottom
  [vy]
    type = DirichletBC
    variable = vel_y
    boundary = 'left right bottom top'
    value = 0
  []

  # BCs for energy equation
  [T_in]
    type = FunctionDirichletBC
    variable = T
    boundary = 'left'
    function = T_in
  []
[]

[Preconditioning]
  [SMP_PJFNK]
    type = SMP
    full = true
    solve_type = 'PJFNK'
  []
[]

[Postprocessors]
  [p_in]
    type = SideAverageValue
    variable = p
    boundary = left
  []
  [p_out]
    type = SideAverageValue
    variable = p
    boundary = right
  []
  [T_in]
    type = SideAverageValue
    variable = T
    boundary = left
  []
  [T_out]
    type = SideAverageValue
    variable = T
    boundary = right
  []
[]

[Executioner]
  type = Transient

  dt = 1
  dtmin = 1.e-3

  petsc_options_iname = '-pc_type -ksp_gmres_restart'
  petsc_options_value = 'lu 100'

  nl_rel_tol = 1e-10
  nl_abs_tol = 1e-8
  nl_max_its = 20

  l_tol = 1e-5
  l_max_its = 100

  start_time = 0.0
  end_time = 10
  num_steps = 10
[]

[Outputs]
  perf_graph = true
  print_linear_residuals = false
  time_step_interval = 1
  execute_on = 'initial timestep_end'
  [console]
    type = Console
    output_linear = false
  []
  [out]
    type = Exodus
    use_displaced = false
  []
[]

(modules/contact/test/tests/tension_release/4ElemTensionRelease_mechanical_constraint.i)

# This is a mechanical constraint (contact formulation) version of 4ElemTensionRelease.i
[Mesh]
  file = 4ElemTensionRelease.e
[]

[GlobalParams]
  volumetric_locking_correction = true
  displacements = 'disp_x disp_y'
[]

[Functions]
  [./up]
    type = PiecewiseLinear
    x = '0 1      2 3'
    y = '0 0.0001 0 -.0001'
  [../]
[]

[Physics/SolidMechanics/QuasiStatic]
  [./all]
    add_variables = true
    strain = SMALL
    generate_output = 'stress_yy'
  []
[]

[Contact]
  [./dummy_name]
    primary = 2
    secondary = 3
    penalty = 1e6
    model = frictionless
    tangential_tolerance = 0.01
  [../]
[]

[BCs]
  [./lateral]
    type = DirichletBC
    variable = disp_x
    boundary = '1 4'
    value = 0
  [../]

  [./bottom_up]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 1
    function = up
  [../]

  [./top]
    type = DirichletBC
    variable = disp_y
    boundary = 4
    value = 0.0
  [../]
[]

[Materials]
  [./stiffStuff1]
    type = ComputeIsotropicElasticityTensor
    block = '1 2'
    youngs_modulus = 1.0e6
    poissons_ratio = 0.3
  [../]
  [./stiffStuff1_stress]
    type = ComputeLinearElasticStress
    block = '1 2'
  [../]

[]

[Executioner]
  type = Transient
  solve_type = 'PJFNK'

  petsc_options_iname = '-pc_type -pc_hypre_type -ksp_gmres_restart'
  petsc_options_value = 'hypre    boomeramg      101'

  line_search = 'none'
  nl_rel_tol = 1e-8
  nl_abs_tol = 1e-10
  l_tol = 1e-4

  l_max_its = 100
  nl_max_its = 10
  dt = 0.2
  dtmin = 0.2
  end_time = 3

  [./Predictor]
    type = SimplePredictor
    scale = 1.0
  [../]
[]

[Outputs]
  exodus = true
[]

(modules/porous_flow/examples/coal_mining/fine_with_fluid.i)

#################################################################
#
#  NOTE:
#  The mesh for this model is too large for the MOOSE repository
#  so is kept in the the large_media submodule
#
#################################################################
#
# Strata deformation and fluid flow aaround a coal mine - 3D model
#
# A "half model" is used.  The mine is 400m deep and
# just the roof is studied (-400<=z<=0).  The mining panel
# sits between 0<=x<=150, and 0<=y<=1000, so this simulates
# a coal panel that is 300m wide and 1000m long.  The outer boundaries
# are 1km from the excavation boundaries.
#
# The excavation takes 0.5 years.
#
# The boundary conditions for this simulation are:
#  - disp_x = 0 at x=0 and x=1150
#  - disp_y = 0 at y=-1000 and y=1000
#  - disp_z = 0 at z=-400, but there is a time-dependent
#               Young modulus that simulates excavation
#  - wc_x = 0 at y=-1000 and y=1000
#  - wc_y = 0 at x=0 and x=1150
#  - no flow at x=0, z=-400 and z=0
#  - fixed porepressure at y=-1000, y=1000 and x=1150
# That is, rollers on the sides, free at top,
# and prescribed at bottom in the unexcavated portion.
#
# A single-phase unsaturated fluid is used.
#
# The small strain formulation is used.
#
# All stresses are measured in MPa, and time units are measured in years.
#
# The initial porepressure is hydrostatic with P=0 at z=0, so
# Porepressure ~ - 0.01*z MPa, where the fluid has density 1E3 kg/m^3 and
# gravity = = 10 m.s^-2 = 1E-5 MPa m^2/kg.
# To be more accurate, i use
# Porepressure = -bulk * log(1 + g*rho0*z/bulk)
# where bulk=2E3 MPa and rho0=1Ee kg/m^3.
# The initial stress is consistent with the weight force from undrained
# density 2500 kg/m^3, and fluid porepressure, and a Biot coefficient of 0.7, ie,
# stress_zz^effective = 0.025*z + 0.7 * initial_porepressure
# The maximum and minimum principal horizontal effective stresses are
# assumed to be equal to 0.8*stress_zz.
#
# Material properties:
# Young's modulus = 8 GPa
# Poisson's ratio = 0.25
# Cosserat layer thickness = 1 m
# Cosserat-joint normal stiffness = large
# Cosserat-joint shear stiffness = 1 GPa
# MC cohesion = 2 MPa
# MC friction angle = 35 deg
# MC dilation angle = 8 deg
# MC tensile strength = 1 MPa
# MC compressive strength = 100 MPa
# WeakPlane cohesion = 0.1 MPa
# WeakPlane friction angle = 30 deg
# WeakPlane dilation angle = 10 deg
# WeakPlane tensile strength = 0.1 MPa
# WeakPlane compressive strength = 100 MPa softening to 1 MPa at strain = 1
# Fluid density at zero porepressure = 1E3 kg/m^3
# Fluid bulk modulus = 2E3 MPa
# Fluid viscosity = 1.1E-3 Pa.s = 1.1E-9 MPa.s = 3.5E-17 MPa.year
#
[GlobalParams]
  perform_finite_strain_rotations = false
  displacements = 'disp_x disp_y disp_z'
  Cosserat_rotations = 'wc_x wc_y wc_z'
  PorousFlowDictator = dictator
  biot_coefficient = 0.7
[]

[Mesh]
  [file]
    type = FileMeshGenerator
    file = fine.e
  []
  [xmin]
    type = SideSetsAroundSubdomainGenerator
     block = '2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30'
    new_boundary = xmin
    normal = '-1 0 0'
    input = file
  []
  [xmax]
    type = SideSetsAroundSubdomainGenerator
     block = '2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30'
    new_boundary = xmax
    normal = '1 0 0'
    input = xmin
  []
  [ymin]
    type = SideSetsAroundSubdomainGenerator
     block = '2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30'
    new_boundary = ymin
    normal = '0 -1 0'
    input = xmax
  []
  [ymax]
    type = SideSetsAroundSubdomainGenerator
     block = '2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30'
    new_boundary = ymax
    normal = '0 1 0'
    input = ymin
  []
  [zmax]
    type = SideSetsAroundSubdomainGenerator
    block = 30
    new_boundary = zmax
    normal = '0 0 1'
    input = ymax
  []
  [zmin]
    type = SideSetsAroundSubdomainGenerator
    block = 2
    new_boundary = zmin
    normal = '0 0 -1'
    input = zmax
  []
  [excav]
    type = SubdomainBoundingBoxGenerator
    input = zmin
    block_id = 1
    bottom_left = '0 0 -400'
    top_right = '150 1000 -397'
  []
  [roof]
    type = SideSetsBetweenSubdomainsGenerator
    primary_block = 3
    paired_block = 1
    input = excav
    new_boundary = roof
  []
[]

[Variables]
  [disp_x]
  []
  [disp_y]
  []
  [disp_z]
  []
  [wc_x]
  []
  [wc_y]
  []
  [porepressure]
    scaling = 1E-5
  []
[]

[ICs]
  [porepressure]
    type = FunctionIC
    variable = porepressure
    function = ini_pp
  []
[]

[Kernels]
  [cx_elastic]
    type = CosseratStressDivergenceTensors
    use_displaced_mesh = false
    variable = disp_x
    component = 0
  []
  [cy_elastic]
    type = CosseratStressDivergenceTensors
    use_displaced_mesh = false
    variable = disp_y
    component = 1
  []
  [cz_elastic]
    type = CosseratStressDivergenceTensors
    use_displaced_mesh = false
    variable = disp_z
    component = 2
  []
  [x_couple]
    type = StressDivergenceTensors
    use_displaced_mesh = false
    variable = wc_x
    displacements = 'wc_x wc_y wc_z'
    component = 0
    base_name = couple
  []
  [y_couple]
    type = StressDivergenceTensors
    use_displaced_mesh = false
    variable = wc_y
    displacements = 'wc_x wc_y wc_z'
    component = 1
    base_name = couple
  []
  [x_moment]
    type = MomentBalancing
    use_displaced_mesh = false
    variable = wc_x
    component = 0
  []
  [y_moment]
    type = MomentBalancing
    use_displaced_mesh = false
    variable = wc_y
    component = 1
  []
  [gravity]
    type = Gravity
    use_displaced_mesh = false
    variable = disp_z
    value = -10E-6 # remember this is in MPa
  []
  [poro_x]
    type = PorousFlowEffectiveStressCoupling
    use_displaced_mesh = false
    variable = disp_x
    component = 0
  []
  [poro_y]
    type = PorousFlowEffectiveStressCoupling
    use_displaced_mesh = false
    variable = disp_y
    component = 1
  []
  [poro_z]
    type = PorousFlowEffectiveStressCoupling
    use_displaced_mesh = false
    component = 2
    variable = disp_z
  []
  [poro_vol_exp]
    type = PorousFlowMassVolumetricExpansion
    use_displaced_mesh = false
     block = '2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30'
    variable = porepressure
    fluid_component = 0
  []
  [mass0]
    type = PorousFlowMassTimeDerivative
    use_displaced_mesh = false
    fluid_component = 0
    variable = porepressure
  []
  [flux]
    type = PorousFlowAdvectiveFlux
    use_displaced_mesh = false
    variable = porepressure
    gravity = '0 0 -10E-6'
    fluid_component = 0
  []
[]


[AuxVariables]
  [saturation]
    order = CONSTANT
    family = MONOMIAL
  []
  [darcy_x]
    order = CONSTANT
    family = MONOMIAL
  []
  [darcy_y]
    order = CONSTANT
    family = MONOMIAL
  []
  [darcy_z]
    order = CONSTANT
    family = MONOMIAL
  []
  [porosity]
    order = CONSTANT
    family = MONOMIAL
  []
  [wc_z]
  []
  [stress_xx]
    order = CONSTANT
    family = MONOMIAL
  []
  [stress_xy]
    order = CONSTANT
    family = MONOMIAL
  []
  [stress_xz]
    order = CONSTANT
    family = MONOMIAL
  []
  [stress_yx]
    order = CONSTANT
    family = MONOMIAL
  []
  [stress_yy]
    order = CONSTANT
    family = MONOMIAL
  []
  [stress_yz]
    order = CONSTANT
    family = MONOMIAL
  []
  [stress_zx]
    order = CONSTANT
    family = MONOMIAL
  []
  [stress_zy]
    order = CONSTANT
    family = MONOMIAL
  []
  [stress_zz]
    order = CONSTANT
    family = MONOMIAL
  []
  [total_strain_xx]
    order = CONSTANT
    family = MONOMIAL
  []
  [total_strain_xy]
    order = CONSTANT
    family = MONOMIAL
  []
  [total_strain_xz]
    order = CONSTANT
    family = MONOMIAL
  []
  [total_strain_yx]
    order = CONSTANT
    family = MONOMIAL
  []
  [total_strain_yy]
    order = CONSTANT
    family = MONOMIAL
  []
  [total_strain_yz]
    order = CONSTANT
    family = MONOMIAL
  []
  [total_strain_zx]
    order = CONSTANT
    family = MONOMIAL
  []
  [total_strain_zy]
    order = CONSTANT
    family = MONOMIAL
  []
  [total_strain_zz]
    order = CONSTANT
    family = MONOMIAL
  []
  [perm_xx]
    order = CONSTANT
    family = MONOMIAL
  []
  [perm_yy]
    order = CONSTANT
    family = MONOMIAL
  []
  [perm_zz]
    order = CONSTANT
    family = MONOMIAL
  []
  [mc_shear]
    order = CONSTANT
    family = MONOMIAL
  []
  [mc_tensile]
    order = CONSTANT
    family = MONOMIAL
  []
  [wp_shear]
    order = CONSTANT
    family = MONOMIAL
  []
  [wp_tensile]
    order = CONSTANT
    family = MONOMIAL
  []
  [wp_shear_f]
    order = CONSTANT
    family = MONOMIAL
  []
  [wp_tensile_f]
    order = CONSTANT
    family = MONOMIAL
  []
  [mc_shear_f]
    order = CONSTANT
    family = MONOMIAL
  []
  [mc_tensile_f]
    order = CONSTANT
    family = MONOMIAL
  []
[]

[AuxKernels]
  [saturation_water]
    type = PorousFlowPropertyAux
    variable = saturation
    property = saturation
    phase = 0
    execute_on = timestep_end
  []
  [darcy_x]
    type = PorousFlowDarcyVelocityComponent
    variable = darcy_x
    gravity = '0 0 -10E-6'
    component = x
  []
  [darcy_y]
    type = PorousFlowDarcyVelocityComponent
    variable = darcy_y
    gravity = '0 0 -10E-6'
    component = y
  []
  [darcy_z]
    type = PorousFlowDarcyVelocityComponent
    variable = darcy_z
    gravity = '0 0 -10E-6'
    component = z
  []
  [porosity]
    type = PorousFlowPropertyAux
    property = porosity
    variable = porosity
    execute_on = timestep_end
  []
  [stress_xx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xx
    index_i = 0
    index_j = 0
    execute_on = timestep_end
  []
  [stress_xy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xy
    index_i = 0
    index_j = 1
    execute_on = timestep_end
  []
  [stress_xz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xz
    index_i = 0
    index_j = 2
    execute_on = timestep_end
  []
  [stress_yx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yx
    index_i = 1
    index_j = 0
    execute_on = timestep_end
  []
  [stress_yy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yy
    index_i = 1
    index_j = 1
    execute_on = timestep_end
  []
  [stress_yz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yz
    index_i = 1
    index_j = 2
    execute_on = timestep_end
  []
  [stress_zx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zx
    index_i = 2
    index_j = 0
    execute_on = timestep_end
  []
  [stress_zy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zy
    index_i = 2
    index_j = 1
    execute_on = timestep_end
  []
  [stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zz
    index_i = 2
    index_j = 2
    execute_on = timestep_end
  []
  [total_strain_xx]
    type = RankTwoAux
    rank_two_tensor = total_strain
    variable = total_strain_xx
    index_i = 0
    index_j = 0
    execute_on = timestep_end
  []
  [total_strain_xy]
    type = RankTwoAux
    rank_two_tensor = total_strain
    variable = total_strain_xy
    index_i = 0
    index_j = 1
    execute_on = timestep_end
  []
  [total_strain_xz]
    type = RankTwoAux
    rank_two_tensor = total_strain
    variable = total_strain_xz
    index_i = 0
    index_j = 2
    execute_on = timestep_end
  []
  [total_strain_yx]
    type = RankTwoAux
    rank_two_tensor = total_strain
    variable = total_strain_yx
    index_i = 1
    index_j = 0
    execute_on = timestep_end
  []
  [total_strain_yy]
    type = RankTwoAux
    rank_two_tensor = total_strain
    variable = total_strain_yy
    index_i = 1
    index_j = 1
    execute_on = timestep_end
  []
  [total_strain_yz]
    type = RankTwoAux
    rank_two_tensor = total_strain
    variable = total_strain_yz
    index_i = 1
    index_j = 2
    execute_on = timestep_end
  []
  [total_strain_zx]
    type = RankTwoAux
    rank_two_tensor = total_strain
    variable = total_strain_zx
    index_i = 2
    index_j = 0
    execute_on = timestep_end
  []
  [total_strain_zy]
    type = RankTwoAux
    rank_two_tensor = total_strain
    variable = total_strain_zy
    index_i = 2
    index_j = 1
    execute_on = timestep_end
  []
  [total_strain_zz]
    type = RankTwoAux
    rank_two_tensor = total_strain
    variable = total_strain_zz
    index_i = 2
    index_j = 2
    execute_on = timestep_end
  []
  [perm_xx]
    type = PorousFlowPropertyAux
    property = permeability
    variable = perm_xx
    row = 0
    column = 0
    execute_on = timestep_end
  []
  [perm_yy]
    type = PorousFlowPropertyAux
    property = permeability
    variable = perm_yy
    row = 1
    column = 1
    execute_on = timestep_end
  []
  [perm_zz]
    type = PorousFlowPropertyAux
    property = permeability
    variable = perm_zz
    row = 2
    column = 2
    execute_on = timestep_end
  []
  [mc_shear]
    type = MaterialStdVectorAux
    index = 0
    property = mc_plastic_internal_parameter
    variable = mc_shear
    execute_on = timestep_end
  []
  [mc_tensile]
    type = MaterialStdVectorAux
    index = 1
    property = mc_plastic_internal_parameter
    variable = mc_tensile
    execute_on = timestep_end
  []
  [wp_shear]
    type = MaterialStdVectorAux
    index = 0
    property = wp_plastic_internal_parameter
    variable = wp_shear
    execute_on = timestep_end
  []
  [wp_tensile]
    type = MaterialStdVectorAux
    index = 1
    property = wp_plastic_internal_parameter
    variable = wp_tensile
    execute_on = timestep_end
  []
  [mc_shear_f]
    type = MaterialStdVectorAux
    index = 6
    property = mc_plastic_yield_function
    variable = mc_shear_f
    execute_on = timestep_end
  []
  [mc_tensile_f]
    type = MaterialStdVectorAux
    index = 0
    property = mc_plastic_yield_function
    variable = mc_tensile_f
    execute_on = timestep_end
  []
  [wp_shear_f]
    type = MaterialStdVectorAux
    index = 0
    property = wp_plastic_yield_function
    variable = wp_shear_f
    execute_on = timestep_end
  []
  [wp_tensile_f]
    type = MaterialStdVectorAux
    index = 1
    property = wp_plastic_yield_function
    variable = wp_tensile_f
    execute_on = timestep_end
  []
[]



[BCs]
  [no_x]
    type = DirichletBC
    variable = disp_x
    boundary = 'xmin xmax'
    value = 0.0
  []
  [no_y]
    type = DirichletBC
    variable = disp_y
    boundary = 'ymin ymax'
    value = 0.0
  []
  [no_z]
    type = DirichletBC
    variable = disp_z
    boundary = zmin
    value = 0.0
  []
  [no_wc_x]
    type = DirichletBC
    variable = wc_x
    boundary = 'ymin ymax'
    value = 0.0
  []
  [no_wc_y]
    type = DirichletBC
    variable = wc_y
    boundary = 'xmin xmax'
    value = 0.0
  []
  [fix_porepressure]
    type = FunctionDirichletBC
    variable = porepressure
    boundary = 'ymin ymax xmax'
    function = ini_pp
  []
  [roof_porepressure]
    type = PorousFlowPiecewiseLinearSink
    variable = porepressure
    pt_vals = '-1E3 1E3'
    multipliers = '-1 1'
    fluid_phase = 0
    flux_function = roof_conductance
    boundary = roof
  []
  [roof]
    type = StickyBC
    variable = disp_z
    min_value = -3.0
    boundary = roof
  []
[]

[Functions]
  [ini_pp]
    type = ParsedFunction
    symbol_names = 'bulk p0 g    rho0'
    symbol_values = '2E3 0.0 1E-5 1E3'
    expression = '-bulk*log(exp(-p0/bulk)+g*rho0*z/bulk)'
  []
  [ini_xx]
    type = ParsedFunction
    symbol_names = 'bulk p0 g    rho0 biot'
    symbol_values = '2E3 0.0 1E-5 1E3  0.7'
    expression = '0.8*(2500*10E-6*z+biot*(-bulk*log(exp(-p0/bulk)+g*rho0*z/bulk)))'
  []
  [ini_zz]
    type = ParsedFunction
    symbol_names = 'bulk p0 g    rho0 biot'
    symbol_values = '2E3 0.0 1E-5 1E3  0.7'
    expression = '2500*10E-6*z+biot*(-bulk*log(exp(-p0/bulk)+g*rho0*z/bulk))'
  []
  [excav_sideways]
    type = ParsedFunction
    symbol_names = 'end_t ymin ymax  minval maxval slope'
    symbol_values = '0.5   0    1000.0 1E-9 1 10'
    # excavation face at ymin+(ymax-ymin)*min(t/end_t,1)
    # slope is the distance over which the modulus reduces from maxval to minval
    expression = 'if(y<ymin+(ymax-ymin)*min(t/end_t,1),minval,if(y<ymin+(ymax-ymin)*min(t/end_t,1)+slope,minval+(maxval-minval)*(y-(ymin+(ymax-ymin)*min(t/end_t,1)))/slope,maxval))'
  []
  [density_sideways]
    type = ParsedFunction
    symbol_names = 'end_t ymin ymax  minval maxval'
    symbol_values = '0.5   0    1000.0 0 2500'
    expression = 'if(y<ymin+(ymax-ymin)*min(t/end_t,1),minval,maxval)'
  []
  [roof_conductance]
    type = ParsedFunction
    symbol_names = 'end_t ymin ymax   maxval minval'
    symbol_values = '0.5   0    1000.0 1E7      0'
    expression = 'if(y<ymin+(ymax-ymin)*min(t/end_t,1),maxval,minval)'
  []
[]

[UserObjects]
  [dictator]
    type = PorousFlowDictator
    porous_flow_vars = 'porepressure disp_x disp_y disp_z'
    number_fluid_phases = 1
    number_fluid_components = 1
  []
  [pc]
    type = PorousFlowCapillaryPressureVG
    m = 0.5
    alpha = 1 # MPa^-1
  []

  [mc_coh_strong_harden]
    type = TensorMechanicsHardeningExponential
    value_0 = 1.99 # MPa
    value_residual = 2.01 # MPa
    rate = 1.0
  []
  [mc_fric]
    type = TensorMechanicsHardeningConstant
    value = 0.61 # 35deg
  []
  [mc_dil]
    type = TensorMechanicsHardeningConstant
    value = 0.15 # 8deg
  []

  [mc_tensile_str_strong_harden]
    type = TensorMechanicsHardeningExponential
    value_0 = 1.0 # MPa
    value_residual = 1.0 # MPa
    rate = 1.0
  []
  [mc_compressive_str]
    type = TensorMechanicsHardeningCubic
    value_0 = 100 # Large!
    value_residual = 100
    internal_limit = 0.1
  []

  [wp_coh_harden]
    type = TensorMechanicsHardeningCubic
    value_0 = 0.05
    value_residual = 0.05
    internal_limit = 10
  []
  [wp_tan_fric]
    type = TensorMechanicsHardeningConstant
    value = 0.26 # 15deg
  []
  [wp_tan_dil]
    type = TensorMechanicsHardeningConstant
    value = 0.18 # 10deg
  []

  [wp_tensile_str_harden]
    type = TensorMechanicsHardeningCubic
    value_0 = 0.05
    value_residual = 0.05
    internal_limit = 10
  []
  [wp_compressive_str_soften]
    type = TensorMechanicsHardeningCubic
    value_0 = 100
    value_residual = 1
    internal_limit = 1.0
  []
[]

[FluidProperties]
  [simple_fluid]
    type = SimpleFluidProperties
    bulk_modulus = 2E3
    density0 = 1000
    thermal_expansion = 0
    viscosity = 3.5E-17
  []
[]

[Materials]
  [temperature]
    type = PorousFlowTemperature
  []
  [eff_fluid_pressure]
    type = PorousFlowEffectiveFluidPressure
  []
  [vol_strain]
    type = PorousFlowVolumetricStrain
  []
  [ppss]
    type = PorousFlow1PhaseP
    porepressure = porepressure
    capillary_pressure = pc
  []
  [massfrac]
    type = PorousFlowMassFraction
  []
  [simple_fluid]
    type = PorousFlowSingleComponentFluid
    fp = simple_fluid
    phase = 0
  []
  [porosity_for_aux]
    type = PorousFlowPorosity
    at_nodes = false
    fluid = true
    mechanical = true
    ensure_positive = true
    porosity_zero = 0.02
    solid_bulk = 5.3333E3
  []
  [porosity_bulk]
    type = PorousFlowPorosity
    fluid = true
    mechanical = true
    block = '2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30'
    ensure_positive = true
    porosity_zero = 0.02
    solid_bulk = 5.3333E3
  []
  [porosity_excav]
    type = PorousFlowPorosityConst
    block = 1
    porosity = 1.0
  []
  [permeability_bulk]
    type = PorousFlowPermeabilityKozenyCarman
    block = '2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30'
    poroperm_function = kozeny_carman_phi0
    k0 = 1E-15
    phi0 = 0.02
    n = 2
    m = 2
  []
  [permeability_excav]
    type = PorousFlowPermeabilityConst
    block = 1
    permeability = '0 0 0   0 0 0   0 0 0'
  []
  [relperm]
    type = PorousFlowRelativePermeabilityCorey
    n = 4
    s_res = 0.4
    sum_s_res = 0.4
    phase = 0
  []

  [elasticity_tensor_0]
    type = ComputeLayeredCosseratElasticityTensor
     block = '2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30'
    young = 8E3 # MPa
    poisson = 0.25
    layer_thickness = 1.0
    joint_normal_stiffness = 1E9 # huge
    joint_shear_stiffness = 1E3 # MPa
  []
  [elasticity_tensor_1]
    type = ComputeLayeredCosseratElasticityTensor
    block = 1
    young = 8E3 # MPa
    poisson = 0.25
    layer_thickness = 1.0
    joint_normal_stiffness = 1E9 # huge
    joint_shear_stiffness = 1E3 # MPa
    elasticity_tensor_prefactor = excav_sideways
  []
  [strain]
    type = ComputeCosseratIncrementalSmallStrain
    eigenstrain_names = ini_stress
  []
  [ini_stress]
    type = ComputeEigenstrainFromInitialStress
    eigenstrain_name = ini_stress
    initial_stress = 'ini_xx 0 0  0 ini_xx 0  0 0 ini_zz'
  []

  [stress_0]
    type = ComputeMultipleInelasticCosseratStress
     block = '2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30'
    inelastic_models = 'mc wp'
    cycle_models = true
    relative_tolerance = 2.0
    absolute_tolerance = 1E6
    max_iterations = 1
    tangent_operator = nonlinear
    perform_finite_strain_rotations = false
  []
  [stress_1]
    type = ComputeMultipleInelasticCosseratStress
    block = 1
    inelastic_models = ''
    relative_tolerance = 2.0
    absolute_tolerance = 1E6
    max_iterations = 1
    tangent_operator = nonlinear
    perform_finite_strain_rotations = false
  []
  [mc]
    type = CappedMohrCoulombCosseratStressUpdate
    warn_about_precision_loss = false
    host_youngs_modulus = 8E3
    host_poissons_ratio = 0.25
    base_name = mc
    tensile_strength = mc_tensile_str_strong_harden
    compressive_strength = mc_compressive_str
    cohesion = mc_coh_strong_harden
    friction_angle = mc_fric
    dilation_angle = mc_dil
    max_NR_iterations = 100000
    smoothing_tol = 0.1 # MPa  # Must be linked to cohesion
    yield_function_tol = 1E-9 # MPa.  this is essentially the lowest possible without lots of precision loss
    perfect_guess = true
    min_step_size = 1.0
  []
  [wp]
    type = CappedWeakPlaneCosseratStressUpdate
    warn_about_precision_loss = false
    base_name = wp
    cohesion = wp_coh_harden
    tan_friction_angle = wp_tan_fric
    tan_dilation_angle = wp_tan_dil
    tensile_strength = wp_tensile_str_harden
    compressive_strength = wp_compressive_str_soften
    max_NR_iterations = 10000
    tip_smoother = 0.05
    smoothing_tol = 0.05 # MPa  # Note, this must be tied to cohesion, otherwise get no possible return at cone apex
    yield_function_tol = 1E-11 # MPa.  this is essentially the lowest possible without lots of precision loss
    perfect_guess = true
    min_step_size = 1.0E-3
  []


  [undrained_density_0]
    type = GenericConstantMaterial
     block = '2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30'
    prop_names = density
    prop_values = 2500
  []
  [undrained_density_1]
    type = GenericFunctionMaterial
    block = 1
    prop_names = density
    prop_values = density_sideways
  []
[]

[Preconditioning]
  [SMP]
    type = SMP
    full = true
  []
[]

[Postprocessors]
  [min_roof_disp]
    type = NodalExtremeValue
    boundary = roof
    value_type = min
    variable = disp_z
  []
  [min_roof_pp]
    type = NodalExtremeValue
    boundary = roof
    value_type = min
    variable = porepressure
  []
  [min_surface_disp]
    type = NodalExtremeValue
    boundary = zmax
    value_type = min
    variable = disp_z
  []
  [min_surface_pp]
    type = NodalExtremeValue
    boundary = zmax
    value_type = min
    variable = porepressure
  []
  [max_perm_zz]
    type = ElementExtremeValue
     block = '2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30'
    variable = perm_zz
  []
[]

[Executioner]
  type = Transient

  solve_type = 'NEWTON'

  petsc_options = '-snes_converged_reason'

  # best overall
  petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
  petsc_options_value = ' lu       mumps'

  # best if you don't have mumps:
  #petsc_options_iname = '-pc_type -pc_asm_overlap -sub_pc_type -ksp_type -ksp_gmres_restart'
  #petsc_options_value = ' asm      2              lu            gmres     200'

  # very basic:
  #petsc_options_iname = '-pc_type -ksp_type -ksp_gmres_restart'
  #petsc_options_value = ' bjacobi  gmres     200'

  line_search = bt

  nl_abs_tol = 1e-3
  nl_rel_tol = 1e-5

  l_max_its = 200
  nl_max_its = 30

  start_time = 0.0
  dt = 0.0025
  end_time = 0.5
[]

[Outputs]
  time_step_interval = 1
  print_linear_residuals = true
  exodus = true
  csv = true
  console = true
[]

(modules/contact/test/tests/mortar_dynamics/block-dynamics-reference.i)

starting_point = 2e-1
offset = -0.19

[GlobalParams]
  displacements = 'disp_x disp_y'
[]

[Mesh]
  file = long-bottom-block-1elem-blocks.e
[]

[Variables]
  [disp_x]
    block = '1 2'
  []
  [disp_y]
    block = '1 2'
  []
  [normal_lm]
    block = 3
    use_dual = true
  []
[]

[ICs]
  [disp_y]
    block = 2
    variable = disp_y
    value = '${fparse starting_point + offset}'
    type = ConstantIC
  []
[]

[Kernels]
  [DynamicTensorMechanics]
    displacements = 'disp_x disp_y'
    generate_output = 'stress_xx stress_yy'
    strain = FINITE
    block = '1 2'
    stiffness_damping_coefficient = 1.0
    hht_alpha = 0.0
  []
  [inertia_x]
    type = InertialForce
    variable = disp_x
    velocity = vel_x
    acceleration = accel_x
    beta = 0.25
    gamma = 0.5
    alpha = 0
    eta = 0.0
    block = '1 2'
  []
  [inertia_y]
    type = InertialForce
    variable = disp_y
    velocity = vel_y
    acceleration = accel_y
    beta = 0.25
    gamma = 0.5
    alpha = 0
    eta = 0.0
    block = '1 2'
  []
[]

[Materials]
  [elasticity_2]
    type = ComputeIsotropicElasticityTensor
    block = '2'
    youngs_modulus = 1e6
    poissons_ratio = 0.3
  []
  [elasticity_1]
    type = ComputeIsotropicElasticityTensor
    block = '1'
    youngs_modulus = 1e8
    poissons_ratio = 0.3
  []
  [stress]
    type = ComputeFiniteStrainElasticStress
    block = '1 2'
  []
  [strain]
    type = ComputeFiniteStrain
    block = '1 2'
  []
  [density]
    type = GenericConstantMaterial
    block = '1 2'
    prop_names = 'density'
    prop_values = '7750'
  []
[]

[AuxVariables]
  [vel_x]
    block = '1 2'
  []
  [accel_x]
    block = '1 2'
  []
  [vel_y]
    block = '1 2'
  []
  [accel_y]
    block = '1 2'
  []
  [vel_z]
    block = '1 2'
  []
  [accel_z]
    block = '1 2'
  []
  [kinetic_energy]
    order = CONSTANT
    family = MONOMIAL
  []
  [elastic_energy]
    order = CONSTANT
    family = MONOMIAL
  []
[]

[AuxKernels]
  [accel_x]
    type = NewmarkAccelAux
    variable = accel_x
    displacement = disp_x
    velocity = vel_x
    beta = 0.25
    execute_on = 'timestep_end'
  []
  [vel_x]
    type = NewmarkVelAux
    variable = vel_x
    acceleration = accel_x
    gamma = 0.5
    execute_on = 'timestep_end'
  []
  [accel_y]
    type = NewmarkAccelAux
    variable = accel_y
    displacement = disp_y
    velocity = vel_y
    beta = 0.25
    execute_on = 'timestep_end'
  []
  [vel_y]
    type = NewmarkVelAux
    variable = vel_y
    acceleration = accel_y
    gamma = 0.5
    execute_on = 'timestep_end'
  []
  [kinetic_energy]
    type = KineticEnergyAux
    block = '1 2'
    variable = kinetic_energy
    newmark_velocity_x = vel_x
    newmark_velocity_y = vel_y
    newmark_velocity_z = 0.0
    density = density
  []
  [elastic_energy]
    type = ElasticEnergyAux
    variable = elastic_energy
    block = '1 2'
  []
[]


# User object provides the contact force (e.g. LM)
# for the application of the generalized force
[UserObjects]
  [weighted_gap_uo]
    type = LMWeightedGapUserObject
    primary_boundary = 20
    secondary_boundary = 10
    primary_subdomain = 4
    secondary_subdomain = 3
    lm_variable = normal_lm
    disp_x = disp_x
    disp_y = disp_y
  []
[]


[Constraints]
  # Not using 'dynamic' constraints results in poor enforcement of contact
  # constraints and lack of kinetic and elastic energy conservation.
  [weighted_gap_lm]
    type = ComputeDynamicWeightedGapLMMechanicalContact
    primary_boundary = 20
    secondary_boundary = 10
    primary_subdomain = 4
    secondary_subdomain = 3
    variable = normal_lm
    disp_x = disp_x
    disp_y = disp_y
    newmark_beta = 0.25
    newmark_gamma = 0.5
    use_displaced_mesh = true
    # Capture tolerance is important. If too small, stabilization takes longer
    capture_tolerance = 1.0e-5
    c = 1.0e6
  []

  [normal_x]
    type = NormalMortarMechanicalContact
    primary_boundary = 20
    secondary_boundary = 10
    primary_subdomain = 4
    secondary_subdomain = 3
    variable = normal_lm
    secondary_variable = disp_x
    component = x
    use_displaced_mesh = true
    compute_lm_residuals = false
    weighted_gap_uo = weighted_gap_uo
  []
  [normal_y]
    type = NormalMortarMechanicalContact
    primary_boundary = 20
    secondary_boundary = 10
    primary_subdomain = 4
    secondary_subdomain = 3
    variable = normal_lm
    secondary_variable = disp_y
    component = y
    use_displaced_mesh = true
    compute_lm_residuals = false
    weighted_gap_uo = weighted_gap_uo
  []
[]

[BCs]
  [botx]
    type = DirichletBC
    variable = disp_x
    boundary = 40
    value = 0.0
  []
  [boty]
    type = DirichletBC
    variable = disp_y
    boundary = 40
    value = 0.0
  []
  [topy]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 30
    function = '${starting_point} * cos(2 * pi / 4 * t) + ${offset}'
  []
  [leftx]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 30 # 50
    function = '0' # '1e-2*t'
  []
[]

[Executioner]
  type = Transient
  end_time = 0.275 # 8.0
  dt = 0.025
  dtmin = .025
  solve_type = 'NEWTON'
  petsc_options = '-snes_converged_reason -ksp_converged_reason -snes_linesearch_monitor'
  petsc_options_iname = '-pc_type -pc_factor_shift_type -pc_factor_shift_amount'
  petsc_options_value = 'lu       NONZERO               1e-15'
  nl_max_its = 50
  line_search = 'none'
  [TimeIntegrator]
    type = NewmarkBeta
    beta = 0.25
    gamma = 0.5
  []
[]

[Debug]
  show_var_residual_norms = true
[]

[Outputs]
  exodus = true
  checkpoint = true
  csv = true
[]

[Postprocessors]
  active = 'contact total_kinetic_energy total_elastic_energy'
  [num_nl]
    type = NumNonlinearIterations
  []
  [cumulative]
    type = CumulativeValuePostprocessor
    postprocessor = num_nl
  []
  [contact]
    type = ContactDOFSetSize
    variable = normal_lm
    subdomain = '3'
    execute_on = 'nonlinear timestep_end'
  []
  [total_kinetic_energy]
    type = ElementIntegralVariablePostprocessor
    variable = kinetic_energy
    block = '1 2'
  []
  [total_elastic_energy]
    type = ElementIntegralVariablePostprocessor
    variable = elastic_energy
    block = '1 2'
  []
[]

(modules/solid_mechanics/test/tests/multi/two_surface05.i)

# Plasticit models:
# SimpleTester with a = 0 and b = 1 and strength = 1
# SimpleTester with a = 1 and b = 1 and strength = 2
#
# Lame lambda = 0 (Poisson=0).  Lame mu = 0.5E6
#
# A single element is stretched by 3E-6m in y directions and 1.0E-6 in z direction.
# trial stress_zz = 1 and stress_yy = 3
#
# Then SimpleTester2 should activate and the algorithm will return to
# stress_zz = 0, stress_yy = 2
# internal0 should be zero, and internal1 should be 1

[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]


[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
[]

[Kernels]
  [SolidMechanics]
    displacements = 'disp_x disp_y disp_z'
  [../]
[]


[BCs]
  [./x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'front back'
    function = '0E-6*x'
  [../]
  [./y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'front back'
    function = '3E-6*y'
  [../]
  [./z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'front back'
    function = '1E-6*z'
  [../]
[]

[AuxVariables]
  [./stress_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f0]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f1]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./int0]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./int1]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]

[AuxKernels]
  [./stress_xx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xx
    index_i = 0
    index_j = 0
  [../]
  [./stress_xy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xy
    index_i = 0
    index_j = 1
  [../]
  [./stress_xz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xz
    index_i = 0
    index_j = 2
  [../]
  [./stress_yy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yy
    index_i = 1
    index_j = 1
  [../]
  [./stress_yz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yz
    index_i = 1
    index_j = 2
  [../]
  [./stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zz
    index_i = 2
    index_j = 2
  [../]
  [./f0]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 0
    variable = f0
  [../]
  [./f1]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 1
    variable = f1
  [../]
  [./int0]
    type = MaterialStdVectorAux
    property = plastic_internal_parameter
    factor = 1E6
    index = 0
    variable = int0
  [../]
  [./int1]
    type = MaterialStdVectorAux
    property = plastic_internal_parameter
    factor = 1E6
    index = 1
    variable = int1
  [../]
[]

[Postprocessors]
  [./s_xx]
    type = PointValue
    point = '0 0 0'
    variable = stress_xx
  [../]
  [./s_xy]
    type = PointValue
    point = '0 0 0'
    variable = stress_xy
  [../]
  [./s_xz]
    type = PointValue
    point = '0 0 0'
    variable = stress_xz
  [../]
  [./s_yy]
    type = PointValue
    point = '0 0 0'
    variable = stress_yy
  [../]
  [./s_yz]
    type = PointValue
    point = '0 0 0'
    variable = stress_yz
  [../]
  [./s_zz]
    type = PointValue
    point = '0 0 0'
    variable = stress_zz
  [../]
  [./f0]
    type = PointValue
    point = '0 0 0'
    variable = f0
  [../]
  [./f1]
    type = PointValue
    point = '0 0 0'
    variable = f1
  [../]
  [./int0]
    type = PointValue
    point = '0 0 0'
    variable = int0
  [../]
  [./int1]
    type = PointValue
    point = '0 0 0'
    variable = int1
  [../]
[]

[UserObjects]
  [./simple1]
    type = SolidMechanicsPlasticSimpleTester
    a = 0
    b = 1
    strength = 1
    yield_function_tolerance = 1.0E-9
    internal_constraint_tolerance = 1.0E-9
  [../]
  [./simple2]
    type = SolidMechanicsPlasticSimpleTester
    a = 1
    b = 1
    strength = 2
    yield_function_tolerance = 1.0E-9
    internal_constraint_tolerance = 1.0E-9
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    block = 0
    fill_method = symmetric_isotropic
    C_ijkl = '0 0.5E6'
  [../]
  [./strain]
    type = ComputeFiniteStrain
    block = 0
    displacements = 'disp_x disp_y disp_z'
  [../]
  [./multi]
    type = ComputeMultiPlasticityStress
    block = 0
    ep_plastic_tolerance = 1E-9
    plastic_models = 'simple1 simple2'
    max_NR_iterations = 2
    min_stepsize = 1
    debug_fspb = crash
    debug_jac_at_stress = '10 0 0 0 10 0 0 0 10'
    debug_jac_at_pm = '1 1'
    debug_jac_at_intnl = '1 1'
    debug_stress_change = 1E-5
    debug_pm_change = '1E-6 1E-6'
    debug_intnl_change = '1E-6 1E-6'
  [../]
[]


[Executioner]
  end_time = 1
  dt = 1
  type = Transient
[]


[Outputs]
  file_base = two_surface05
  exodus = false
  [./csv]
    type = CSV
    [../]
[]

(modules/porous_flow/test/tests/mass_conservation/mass12.i)

# The sample is an annulus in RZ coordinates.
# Roller BCs are applied to the r_min, r_max and bottom boundaries
# A constant displacement is applied to the top: disp_z = -0.01*t.
# There is no fluid flow.
# Fluid mass conservation is checked.
#
# Under these conditions
# fluid_mass = volume0 * rho0 * exp(P0/bulk) = pi*3 * 1 * exp(0.1/0.5) = 11.51145
# volume0 * rho0 * exp(P0/bulk) = volume * rho0 * exp(P/bulk), so
# P - P0 = bulk * log(volume0 / volume) = 0.5 * log(1 / (1 - 0.01*t))

[Mesh]
  type = GeneratedMesh
  dim = 2
  nx = 1
  ny = 1
  xmin = 1.0
  xmax = 2.0
  ymin = -0.5
  ymax = 0.5
  coord_type = RZ
[]

[GlobalParams]
  displacements = 'disp_r disp_z'
  PorousFlowDictator = dictator
  block = 0
[]

[Variables]
  [disp_r]
  []
  [disp_z]
  []
  [porepressure]
    initial_condition = 0.1
  []
[]

[BCs]
  [bottom_roller]
    type = DirichletBC
    variable = disp_z
    value = 0
    boundary = bottom
  []
  [side_rollers]
    type = DirichletBC
    variable = disp_r
    value = 0
    boundary = 'left right'
  []
  [top_move]
    type = FunctionDirichletBC
    variable = disp_z
    function = -0.01*t
    boundary = top
  []
[]

[Kernels]
  [grad_stress_r]
    type = StressDivergenceRZTensors
    variable = disp_r
    component = 0
  []
  [grad_stress_z]
    type = StressDivergenceRZTensors
    variable = disp_z
    component = 1
  []
  [poro_r]
    type = PorousFlowEffectiveStressCoupling
    biot_coefficient = 0.3
    variable = disp_r
    component = 0
  []
  [poro_z]
    type = PorousFlowEffectiveStressCoupling
    biot_coefficient = 0.3
    variable = disp_z
    component = 1
  []
  [poro_vol_exp]
    type = PorousFlowMassVolumetricExpansion
    variable = porepressure
    fluid_component = 0
  []
  [mass0]
    type = PorousFlowMassTimeDerivative
    fluid_component = 0
    variable = porepressure
  []
[]

[AuxVariables]
  [stress_rr]
    order = CONSTANT
    family = MONOMIAL
  []
  [stress_rz]
    order = CONSTANT
    family = MONOMIAL
  []
  [stress_zz]
    order = CONSTANT
    family = MONOMIAL
  []
  [stress_tt]
    order = CONSTANT
    family = MONOMIAL
  []
[]

[AuxKernels]
  [stress_rr]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_rr
    index_i = 0
    index_j = 0
  []
  [stress_rz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_rz
    index_i = 0
    index_j = 1
  []
  [stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zz
    index_i = 1
    index_j = 1
  []
  [stress_tt]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_tt
    index_i = 2
    index_j = 2
  []
[]

[FluidProperties]
  [simple_fluid]
    type = SimpleFluidProperties
    bulk_modulus = 0.5
    density0 = 1
    thermal_expansion = 0
    viscosity = 1
  []
[]

[Materials]
  [temperature]
    type = PorousFlowTemperature
  []
  [elasticity_tensor]
    type = ComputeElasticityTensor
    C_ijkl = '1 1.5'
    # bulk modulus is lambda + 2*mu/3 = 1 + 2*1.5/3 = 2
    fill_method = symmetric_isotropic
  []
  [strain]
    type = ComputeAxisymmetricRZSmallStrain
  []
  [stress]
    type = ComputeLinearElasticStress
  []
  [vol_strain]
    type = PorousFlowVolumetricStrain
  []
  [eff_fluid_pressure]
    type = PorousFlowEffectiveFluidPressure
  []
  [ppss]
    type = PorousFlow1PhaseP
    porepressure = porepressure
    capillary_pressure = pc
  []
  [massfrac]
    type = PorousFlowMassFraction
  []
  [simple_fluid]
    type = PorousFlowSingleComponentFluid
    fp = simple_fluid
    phase = 0
  []
  [porosity]
    type = PorousFlowPorosityConst
    porosity = 0.1
  []
  [permeability]
    type = PorousFlowPermeabilityConst
    permeability = '0.5 0 0   0 0.5 0   0 0 0.5'
  []
[]

[UserObjects]
  [dictator]
    type = PorousFlowDictator
    porous_flow_vars = 'porepressure disp_r disp_z'
    number_fluid_phases = 1
    number_fluid_components = 1
  []
  [pc]
    type = PorousFlowCapillaryPressureVG
    m = 0.5
    alpha = 1
  []
[]

[Postprocessors]
  [p0]
    type = PointValue
    outputs = 'console csv'
    execute_on = 'initial timestep_end'
    point = '1 0 0'
    variable = porepressure
  []
  [rdisp]
    type = PointValue
    outputs = csv
    point = '2 0 0'
    use_displaced_mesh = false
    variable = disp_r
  []
  [stress_rr]
    type = PointValue
    outputs = csv
    point = '1 0 0'
    variable = stress_rr
  []
  [stress_zz]
    type = PointValue
    outputs = csv
    point = '1 0 0'
    variable = stress_zz
  []
  [stress_tt]
    type = PointValue
    outputs = csv
    point = '1 0 0'
    variable = stress_tt
  []
  [fluid_mass]
    type = PorousFlowFluidMass
    fluid_component = 0
    execute_on = 'initial timestep_end'
    outputs = 'console csv'
  []
[]

[Preconditioning]
  [andy]
    type = SMP
    full = true
    petsc_options_iname = '-ksp_type -pc_type -snes_atol -snes_rtol -snes_max_it'
    petsc_options_value = 'bcgs bjacobi 1E-14 1E-8 10000'
  []
[]

[Executioner]
  type = Transient
  solve_type = Newton
  start_time = 0
  end_time = 10
  dt = 2
[]

[Outputs]
  execute_on = 'initial timestep_end'
  [csv]
    type = CSV
  []
[]

(modules/solid_mechanics/test/tests/tensile/small_deform2.i)

# checking for small deformation
# A single element is stretched by 1E-6m in all directions.
# tensile_strength is set to 1Pa, and smoother = 0.5
# Then the final stress should return to the yield surface and all principal stresses should be 0.5

[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]
[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]

[Physics/SolidMechanics/QuasiStatic]
  [./all]
    add_variables = true
    incremental = true
    strain = finite
    generate_output = 'stress_xx stress_xy stress_xz stress_yy stress_yz stress_zz'
  [../]
[]

[BCs]
  [./x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'front back'
    function = '1E-6*x'
  [../]
  [./y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'front back'
    function = '1E-6*y'
  [../]
  [./z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'front back'
    function = '1E-6*z'
  [../]
[]

[AuxVariables]
  [./yield_fcn]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]

[AuxKernels]
  [./yield_fcn_auxk]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 0
    variable = yield_fcn
  [../]
[]

[Postprocessors]
  [./s_xx]
    type = PointValue
    point = '0 0 0'
    variable = stress_xx
  [../]
  [./s_xy]
    type = PointValue
    point = '0 0 0'
    variable = stress_xy
  [../]
  [./s_xz]
    type = PointValue
    point = '0 0 0'
    variable = stress_xz
  [../]
  [./s_yy]
    type = PointValue
    point = '0 0 0'
    variable = stress_yy
  [../]
  [./s_yz]
    type = PointValue
    point = '0 0 0'
    variable = stress_yz
  [../]
  [./s_zz]
    type = PointValue
    point = '0 0 0'
    variable = stress_zz
  [../]
  [./f]
    type = PointValue
    point = '0 0 0'
    variable = yield_fcn
  [../]
[]

[UserObjects]
  [./ts]
    type = SolidMechanicsHardeningConstant
    value = 1
  [../]
  [./mc]
    type = SolidMechanicsPlasticTensile
    tensile_strength = ts
    yield_function_tolerance = 1E-6
    tensile_tip_smoother = 0.5
    internal_constraint_tolerance = 1E-5
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    block = 0
    fill_method = symmetric_isotropic
    C_ijkl = '0 2.0E6'
  [../]
  [./mc]
    type = ComputeMultiPlasticityStress
    block = 0
    ep_plastic_tolerance = 1E-5
    plastic_models = mc
    debug_fspb = crash
  [../]
[]


[Executioner]
  end_time = 1
  dt = 1
  type = Transient
[]


[Outputs]
  file_base = small_deform2
  exodus = false
  [./csv]
    type = CSV
    [../]
[]

(modules/solid_mechanics/test/tests/hyperelastic_viscoplastic/one_elem_multi.i)

[Mesh]
  type = GeneratedMesh
  dim = 3
  elem_type = HEX8
  displacements = 'ux uy uz'
[]

[Variables]
  [./ux]
    block = 0
  [../]
  [./uy]
    block = 0
  [../]
  [./uz]
    block = 0
  [../]
[]

[Kernels]
  [SolidMechanics]
    displacements = 'ux uy uz'
    use_displaced_mesh = true
  [../]
[]

[AuxVariables]
  [./stress_zz]
    order = CONSTANT
    family = MONOMIAL
    block = 0
  [../]
  [./peeq_soft]
    order = CONSTANT
    family = MONOMIAL
    block = 0
  [../]
  [./peeq_hard]
    order = CONSTANT
    family = MONOMIAL
    block = 0
  [../]
  [./fp_zz]
    order = CONSTANT
    family = MONOMIAL
    block = 0
  [../]
[]

[AuxKernels]
  [./stress_zz]
    type = RankTwoAux
    variable = stress_zz
    rank_two_tensor = stress
    index_j = 2
    index_i = 2
    execute_on = timestep_end
    block = 0
  [../]
  [./fp_zz]
    type = RankTwoAux
    variable = fp_zz
    rank_two_tensor = fp
    index_j = 2
    index_i = 2
    execute_on = timestep_end
    block = 0
  [../]
  [./peeq_soft]
    type = MaterialRealAux
    variable = peeq_soft
    property = ep_eqv1
    execute_on = timestep_end
    block = 0
  [../]
  [./peeq_hard]
    type = MaterialRealAux
    variable = peeq_hard
    property = ep_eqv2
    execute_on = timestep_end
    block = 0
  [../]
[]

[BCs]
  [./symmy]
    type = DirichletBC
    variable = uy
    boundary = bottom
    value = 0
  [../]
  [./symmx]
    type = DirichletBC
    variable = ux
    boundary = left
    value = 0
  [../]
  [./symmz]
    type = DirichletBC
    variable = uz
    boundary = back
    value = 0
  [../]
  [./tdisp]
    type = FunctionDirichletBC
    variable = uz
    boundary = front
    function = '0.01*t'
  [../]
[]

[UserObjects]
  [./flowstress1]
    type = HEVPRambergOsgoodHardening
    yield_stress = 100
    hardening_exponent = 0.1
    reference_plastic_strain = 0.002
    intvar_prop_name = ep_eqv1
  [../]
  [./flowstress2]
    type = HEVPRambergOsgoodHardening
    yield_stress = 100
    hardening_exponent = 0.3
    reference_plastic_strain = 0.002
    intvar_prop_name = ep_eqv2
  [../]
  [./flowrate1]
    type = HEVPFlowRatePowerLawJ2
    reference_flow_rate = 0.0001
    flow_rate_exponent = 50.0
    flow_rate_tol = 1
    strength_prop_name = flowstress1
  [../]
  [./flowrate2]
    type = HEVPFlowRatePowerLawJ2
    reference_flow_rate = 0.0001
    flow_rate_exponent = 50.0
    flow_rate_tol = 1
    strength_prop_name = flowstress2
  [../]
  [./ep_eqv1]
     type = HEVPEqvPlasticStrain
     intvar_rate_prop_name = ep_eqv_rate1
  [../]
  [./ep_eqv_rate1]
     type = HEVPEqvPlasticStrainRate
     flow_rate_prop_name = flowrate1
  [../]
  [./ep_eqv2]
     type = HEVPEqvPlasticStrain
     intvar_rate_prop_name = ep_eqv_rate2
  [../]
  [./ep_eqv_rate2]
     type = HEVPEqvPlasticStrainRate
     flow_rate_prop_name = flowrate2
  [../]
[]

[Materials]
  [./strain]
    type = ComputeFiniteStrain
    block = 0
    displacements = 'ux uy uz'
  [../]
  [./viscop]
    type = FiniteStrainHyperElasticViscoPlastic
    block = 0
    resid_abs_tol = 1e-18
    resid_rel_tol = 1e-8
    maxiters = 50
    max_substep_iteration = 5
    flow_rate_user_objects = 'flowrate1 flowrate2'
    strength_user_objects = 'flowstress1 flowstress2'
    internal_var_user_objects = 'ep_eqv1 ep_eqv2'
    internal_var_rate_user_objects = 'ep_eqv_rate1 ep_eqv_rate2'
  [../]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    block = 0
    C_ijkl = '2.8e5 1.2e5 1.2e5 2.8e5 1.2e5 2.8e5 0.8e5 0.8e5 0.8e5'
    fill_method = symmetric9
  [../]
[]

[Postprocessors]
  [./stress_zz]
    type = ElementAverageValue
    variable = stress_zz
    block = 'ANY_BLOCK_ID 0'
  [../]
  [./fp_zz]
    type = ElementAverageValue
    variable = fp_zz
    block = 'ANY_BLOCK_ID 0'
  [../]
  [./peeq_soft]
    type = ElementAverageValue
    variable = peeq_soft
    block = 'ANY_BLOCK_ID 0'
  [../]
  [./peeq_hard]
    type = ElementAverageValue
    variable = peeq_hard
    block = 'ANY_BLOCK_ID 0'
  [../]
[]

[Preconditioning]
  [./smp]
    type = SMP
    full = true
  [../]
[]

[Executioner]
  type = Transient
  dt = 0.02

  #Preconditioned JFNK (default)
  solve_type = 'PJFNK'

  petsc_options_iname = -pc_hypre_type
  petsc_options_value = boomerang
  dtmax = 10.0
  nl_rel_tol = 1e-10
  dtmin = 0.02
  num_steps = 10
[]

[Outputs]
  file_base = one_elem_multi
  exodus = true
  csv = false
[]

(modules/solid_mechanics/test/tests/auxkernels/principalstress.i)

[Mesh]
  type = GeneratedMesh
  elem_type = HEX8
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin=0.0
  xmax=1.0
  ymin=0.0
  ymax=1.0
  zmin=0.0
  zmax=1.0
  displacements = 'disp_x disp_y disp_z'
[]

[Variables]
  [./disp_x]
    order = FIRST
    family = LAGRANGE
  [../]
  [./disp_y]
    order = FIRST
    family = LAGRANGE
  [../]
  [./disp_z]
    order = FIRST
    family = LAGRANGE
  [../]
[]

[Kernels]
  [SolidMechanics]
    displacements = 'disp_x disp_y disp_z'
  [../]
[]

[Materials]
  [./fplastic]
    type = FiniteStrainPlasticMaterial
    block = 0
    yield_stress='0. 445. 0.05 610. 0.1 680. 0.38 810. 0.95 920. 2. 950.'
  [../]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    block = 0
    C_ijkl = '2.827e5 1.21e5 1.21e5 2.827e5 1.21e5 2.827e5 0.808e5 0.808e5 0.808e5'
    fill_method = symmetric9
  [../]
  [./strain]
    type = ComputeFiniteStrain
    block = 0
    displacements = 'disp_x disp_y disp_z'
  [../]
[]

[BCs]
  [./left]
    type = DirichletBC
    variable = disp_x
    boundary = left
    value = 0.0
  [../]
  [./bottom]
    type = DirichletBC
    variable = disp_y
    boundary = bottom
    value = 0.0
  [../]
  [./back]
    type = DirichletBC
    variable = disp_z
    boundary = back
    value = 0.0
  [../]
  [./front]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = front
    function = 't'
  [../]
  [./right]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = right
    function = '-0.5*t'
  [../]
[]

[AuxVariables]
  [./stress_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_max]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_mid]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_min]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]

[AuxKernels]
  [./stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zz
    index_i = 2
    index_j = 2
  [../]
  [./stress_max]
    type = RankTwoScalarAux
    rank_two_tensor = stress
    variable = stress_max
    scalar_type = MaxPrincipal
  [../]
  [./stress_mid]
    type = RankTwoScalarAux
    rank_two_tensor = stress
    variable = stress_mid
    scalar_type = MidPrincipal
  [../]
  [./stress_min]
    type = RankTwoScalarAux
    rank_two_tensor = stress
    variable = stress_min
    scalar_type = MinPrincipal
  [../]
[]

[Postprocessors]
  [./stress_zz]
    type = ElementAverageValue
    variable = stress_zz
  [../]
  [./stress_max]
    type = ElementAverageValue
    variable = stress_max
  [../]
  [./stress_mid]
    type = ElementAverageValue
    variable = stress_mid
  [../]
  [./stress_min]
    type = ElementAverageValue
    variable = stress_min
  [../]
[]

[Executioner]

  type = Transient

  dt=0.1
  dtmin=0.1
  dtmax=1
  end_time=1.0

  #Preconditioned JFNK (default)
  solve_type = 'PJFNK'

  nl_rel_tol = 1e-10
  nl_abs_tol = 1e-10
[]


[Outputs]
  exodus = true
[]

(modules/solid_mechanics/test/tests/lagrangian/cartesian/total/special/rotate.i)

# Simple 3D test

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
  large_kinematics = true
[]

[Variables]
  [disp_x]
  []
  [disp_y]
  []
  [disp_z]
  []
[]

[Mesh]
  [msh]
    type = GeneratedMeshGenerator
    dim = 3
    nx = 1
    ny = 1
    nz = 1
    xmin = -0.5
    xmax = 0.5
    ymin = -0.5
    ymax = 0.5
    zmin = -0.5
    zmax = 0.5
  []
[]

[Kernels]
  [sdx]
    type = TotalLagrangianStressDivergence
    variable = disp_x
    component = 0
  []
  [sdy]
    type = TotalLagrangianStressDivergence
    variable = disp_y
    component = 1
  []
  [sdz]
    type = TotalLagrangianStressDivergence
    variable = disp_z
    component = 2
  []
[]

[AuxVariables]
  [stress_xx]
    order = CONSTANT
    family = MONOMIAL
  []
  [stress_yy]
    order = CONSTANT
    family = MONOMIAL
  []
  [stress_zz]
    order = CONSTANT
    family = MONOMIAL
  []
  [stress_xy]
    order = CONSTANT
    family = MONOMIAL
  []
  [stress_yz]
    order = CONSTANT
    family = MONOMIAL
  []
  [stress_xz]
    order = CONSTANT
    family = MONOMIAL
  []
[]

[Functions]
  [angles]
    type = PiecewiseLinear
    x = '0 1 2'
    y = '0 0 1.5707963'
  []

  [stretch]
    type = PiecewiseLinear
    x = '0 1 2'
    y = '0 0.1 0.1'
  []

  [move_y]
    type = ParsedFunction
    expression = 'y*cos(theta) - z * (1 + a)*sin(theta) - y'
    symbol_names = 'a theta'
    symbol_values = 'stretch angles'
  []

  [move_z]
    type = ParsedFunction
    expression = 'y*sin(theta) + z*(1+a)*cos(theta) - z'
    symbol_names = 'a theta'
    symbol_values = 'stretch angles'
  []

  [dts]
    type = PiecewiseConstant
    x = '0 1 2'
    y = '0.1 0.001 0.001'
    direction = 'LEFT_INCLUSIVE'
  []
[]

[BCs]
  [fix]
    type = DirichletBC
    preset = true
    value = 0.0
    boundary = left
    variable = disp_x
  []

  [front_y]
    type = FunctionDirichletBC
    boundary = front
    variable = disp_y
    function = move_y
    preset = true
  []

  [back_y]
    type = FunctionDirichletBC
    boundary = back
    variable = disp_y
    function = move_y
    preset = true
  []

  [front_z]
    type = FunctionDirichletBC
    boundary = front
    variable = disp_z
    function = move_z
    preset = true
  []

  [back_z]
    type = FunctionDirichletBC
    boundary = back
    variable = disp_z
    function = move_z
    preset = true
  []

[]

[AuxKernels]
  [stress_xx]
    type = RankTwoAux
    rank_two_tensor = cauchy_stress
    variable = stress_xx
    index_i = 0
    index_j = 0
    execute_on = timestep_end
  []
  [stress_yy]
    type = RankTwoAux
    rank_two_tensor = cauchy_stress
    variable = stress_yy
    index_i = 1
    index_j = 1
    execute_on = timestep_end
  []
  [stress_zz]
    type = RankTwoAux
    rank_two_tensor = cauchy_stress
    variable = stress_zz
    index_i = 2
    index_j = 2
    execute_on = timestep_end
  []
  [stress_xy]
    type = RankTwoAux
    rank_two_tensor = cauchy_stress
    variable = stress_xy
    index_i = 0
    index_j = 1
    execute_on = timestep_end
  []
  [stress_xz]
    type = RankTwoAux
    rank_two_tensor = cauchy_stress
    variable = stress_xz
    index_i = 0
    index_j = 2
    execute_on = timestep_end
  []
  [stress_yz]
    type = RankTwoAux
    rank_two_tensor = cauchy_stress
    variable = stress_yz
    index_i = 1
    index_j = 2
    execute_on = timestep_end
  []
[]

[Materials]
  [elastic_tensor]
    type = ComputeIsotropicElasticityTensor
    youngs_modulus = 1000.0
    poissons_ratio = 0.25
  []
  [compute_stress]
    type = ComputeLagrangianLinearElasticStress
  []
  [compute_strain]
    type = ComputeLagrangianStrain
  []
[]

[Preconditioning]
  [smp]
    type = SMP
    full = true
  []
[]

[Postprocessors]
  [sxx]
    type = ElementAverageValue
    variable = stress_xx
  []
  [syy]
    type = ElementAverageValue
    variable = stress_yy
  []
  [szz]
    type = ElementAverageValue
    variable = stress_zz
  []
  [syz]
    type = ElementAverageValue
    variable = stress_yz
  []
  [sxz]
    type = ElementAverageValue
    variable = stress_xz
  []
  [sxy]
    type = ElementAverageValue
    variable = stress_xy
  []
[]

[Executioner]
  type = Transient

  solve_type = 'newton'
  line_search = none

  petsc_options_iname = '-pc_type'
  petsc_options_value = 'lu'

  l_max_its = 2
  l_tol = 1e-14
  nl_max_its = 15
  nl_rel_tol = 1e-4
  nl_abs_tol = 1e-6

  start_time = 0.0
  end_time = 2.0
  [TimeStepper]
    type = FunctionDT
    function = dts
    interpolate = False
  []
[]

[Outputs]
  exodus = true
  csv = true
[]

(modules/solid_mechanics/test/tests/crystal_plasticity/hcp_single_crystal/update_method_hcp_no_substructure.i)

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]

[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 2
  ny = 2
  nz = 2
  elem_type = HEX8
[]

[AuxVariables]
  [temperature]
    initial_condition = 300
  []
  [pk2]
    order = CONSTANT
    family = MONOMIAL
  []
  [resolved_shear_stress_3]
    order = CONSTANT
    family = MONOMIAL
  []
  [slip_resistance_3]
    order = CONSTANT
    family = MONOMIAL
  []
  [substructure_density]
    order = CONSTANT
    family = MONOMIAL
  []
[]

[Physics/SolidMechanics/QuasiStatic/all]
  strain = FINITE
  incremental = true
  add_variables = true
[]

[AuxKernels]
  [pk2]
    type = RankTwoAux
    variable = pk2
    rank_two_tensor = second_piola_kirchhoff_stress
    index_j = 2
    index_i = 2
    execute_on = timestep_end
  []
  [tau_3]
    type = MaterialStdVectorAux
    variable = resolved_shear_stress_3
    property = applied_shear_stress
    index = 3
    execute_on = timestep_end
  []
  [slip_resistance_3]
    type = MaterialStdVectorAux
    variable = slip_resistance_3
    property = slip_resistance
    index = 3
    execute_on = timestep_end
  []
  [substructure_density]
    type = MaterialRealAux
    variable = substructure_density
    property = total_substructure_density
    execute_on = timestep_end
  []
[]

[BCs]
  [symmy]
    type = DirichletBC
    variable = disp_y
    preset = true
    boundary = bottom
    value = 0
  []
  [symmx]
    type = DirichletBC
    variable = disp_x
    boundary = left
    value = 0
  []
  [symmz]
    type = DirichletBC
    variable = disp_z
    boundary = back
    value = 0
  []
  [tdisp]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = front
    function = '0.001*t'
  []
[]

[Materials]
  [elasticity_tensor]
    type = ComputeElasticityTensorCP
    C_ijkl = '1.622e5 9.18e4 6.88e4 1.622e5 6.88e4 1.805e5 4.67e4 4.67e4 4.67e4' #alpha Ti, Alankar et al. Acta Materialia 59 (2011) 7003-7009
    fill_method = symmetric9
  []
  [stress]
    type = ComputeMultipleCrystalPlasticityStress
    crystal_plasticity_models = 'trial_xtalpl'
    tan_mod_type = exact
  []
  [trial_xtalpl]
    type = CrystalPlasticityHCPDislocationSlipBeyerleinUpdate
    number_slip_systems = 15
    slip_sys_file_name = hcp_aprismatic_capyramidal_slip_sys.txt
    unit_cell_dimension = '2.934e-7 2.934e-7 4.657e-7'
    temperature = temperature
    initial_forest_dislocation_density = 15.0e5
    initial_substructure_density = 1.0 #artifically low for specific test
    slip_system_modes = 2
    number_slip_systems_per_mode = '3 12'
    lattice_friction_per_mode = '100 200'
    effective_shear_modulus_per_mode = '5e4 5e4'
    burgers_vector_per_mode = '2.934e-7 6.586e-7' #Ti, in mm, https://materialsproject.org/materials/mp-46/
    slip_generation_coefficient_per_mode = '1e5 2e7'
    normalized_slip_activiation_energy_per_mode = '4e-3 3e-2'
    slip_energy_proportionality_factor_per_mode = '300 100'
    substructure_rate_coefficient_per_mode = '-355 -0.4' #artifical, non-physical values for testing purposes
    applied_strain_rate = 0.001
    gamma_o = 1.0e-3
    Hall_Petch_like_constant_per_mode = '1 1'
    grain_size = 20.0e-3 #20 microns
  []
[]

[Postprocessors]
  [pk2]
    type = ElementAverageValue
    variable = pk2
  []
  [tau_3]
    type = ElementAverageValue
    variable = resolved_shear_stress_3
  []
  [slip_resistance_3]
    type = ElementAverageValue
    variable = slip_resistance_3
  []
  [substructure_density]
    type = ElementAverageValue
    variable = substructure_density
  []
[]

[Preconditioning]
  [smp]
    type = SMP
    full = true
  []
[]

[Executioner]
  type = Transient
  solve_type = 'PJFNK'

  petsc_options_iname = '-pc_type -pc_asm_overlap -sub_pc_type -ksp_type -ksp_gmres_restart'
  petsc_options_value = ' asm      2              lu            gmres     200'
  nl_abs_tol = 1e-10
  nl_rel_tol = 1e-10
  nl_abs_step_tol = 1e-10

  dt = 0.5
  dtmin = 1.0e-2
  dtmax = 10.0
  end_time = 2.5
[]

[Outputs]
  csv = true
[]

(modules/solid_mechanics/test/tests/poro/vol_expansion.i)

# Apply an increasing porepressure, with zero mechanical forces,
# and observe the corresponding volumetric expansion
#
# P = t
# With the Biot coefficient being 2.0, the effective stresses should be
# stress_xx = stress_yy = stress_zz = 2t
# With bulk modulus = 1 then should have
# vol_strain = strain_xx + strain_yy + strain_zz = 2t.
# I use a single element lying 0<=x<=1, 0<=y<=1 and 0<=z<=1, and
# fix the left, bottom and back boundaries appropriately,
# so at the point x=y=z=1, the displacements should be
# disp_x = disp_y = disp_z = 2t/3 (small strain physics is used)
[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = 0
  xmax = 1
  ymin = 0
  ymax = 1
  zmin = 0
  zmax = 1
[]

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
  block = 0
[]

[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
  [./p]
  [../]
[]

[BCs]
  [./p]
    type = FunctionDirichletBC
    boundary = 'bottom top'
    variable = p
    function = t
  [../]
  [./xmin]
    type = DirichletBC
    boundary = left
    variable = disp_x
    value = 0
  [../]
  [./ymin]
    type = DirichletBC
    boundary = bottom
    variable = disp_y
    value = 0
  [../]
  [./zmin]
    type = DirichletBC
    boundary = back
    variable = disp_z
    value = 0
  [../]
[]

[Kernels]
  [./unimportant_p]
    type = Diffusion
    variable = p
  [../]
  [SolidMechanics]
    displacements = 'disp_x disp_y disp_z'
  [../]
  [./poro_x]
    type = PoroMechanicsCoupling
    variable = disp_x
    porepressure = p
    component = 0
  [../]
  [./poro_y]
    type = PoroMechanicsCoupling
    variable = disp_y
    porepressure = p
    component = 1
  [../]
  [./poro_z]
    type = PoroMechanicsCoupling
    variable = disp_z
    porepressure = p
    component = 2
  [../]
[]

[AuxVariables]
  [./stress_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]

[AuxKernels]
  [./stress_xx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xx
    index_i = 0
    index_j = 0
  [../]
  [./stress_xy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xy
    index_i = 0
    index_j = 1
  [../]
  [./stress_xz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xz
    index_i = 0
    index_j = 2
  [../]
  [./stress_yy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yy
    index_i = 1
    index_j = 1
  [../]
  [./stress_yz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yz
    index_i = 1
    index_j = 2
  [../]
  [./stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zz
    index_i = 2
    index_j = 2
  [../]
[]

[Postprocessors]
  [./corner_x]
    type = PointValue
    point = '1 1 1'
    variable = disp_x
  [../]
  [./corner_y]
    type = PointValue
    point = '1 1 1'
    variable = disp_y
  [../]
  [./corner_z]
    type = PointValue
    point = '1 1 1'
    variable = disp_z
  [../]
[]


[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    # bulk modulus = 1, poisson ratio = 0.2
    C_ijkl = '0.5 0.75'
    fill_method = symmetric_isotropic
  [../]
  [./strain]
    type = ComputeSmallStrain
    displacements = 'disp_x disp_y disp_z'
  [../]
  [./stress]
    type = ComputeLinearElasticStress
  [../]
  [./biot]
    type = GenericConstantMaterial
    prop_names = biot_coefficient
    prop_values = 2.0
  [../]
[]

[Preconditioning]
  [./andy]
    type = SMP
    full = true
    petsc_options_iname = '-ksp_type -pc_type -snes_atol -snes_rtol -snes_max_it -ksp_atol -ksp_rtol'
    petsc_options_value = 'gmres bjacobi 1E-10 1E-10 10 1E-15 1E-10'
  [../]
[]

[Executioner]
  type = Transient
  solve_type = Newton
  start_time = 0
  dt = 0.1
  end_time = 1
[]

[Outputs]
  file_base = vol_expansion
  exodus = true
[]

(modules/heat_transfer/test/tests/heat_conduction_patch/heat_conduction_patch.i)

#
# This problem is taken from the Abaqus verification manual:
#   "1.5.8 Patch test for heat transfer elements"
#
# The temperature on the exterior nodes is 200x+100y+200z.
#
# This gives a constant flux at all Gauss points.
#
# In addition, the temperature at all nodes follows the same formula.
#
# Node x         y         z        Temperature
#   1  1.00E+00  0.00E+00  1.00E+00  400
#   2  6.77E-01  3.05E-01  6.83E-01  302.5
#   3  3.20E-01  1.86E-01  6.43E-01  211.2
#   4  0.00E+00  0.00E+00  1.00E+00  200
#   5  1.00E+00  1.00E+00  1.00E+00  500
#   6  7.88E-01  6.93E-01  6.44E-01  355.7
#   7  1.65E-01  7.45E-01  7.02E-01  247.9
#   8  0.00E+00  1.00E+00  1.00E+00  300
#   9  1.00E+00  0.00E+00  0.00E+00  200
#  10  0.00E+00  0.00E+00  0.00E+00  0
#  11  8.26E-01  2.88E-01  2.88E-01  251.6
#  12  2.49E-01  3.42E-01  1.92E-01  122.4
#  13  2.73E-01  7.50E-01  2.30E-01  175.6
#  14  0.00E+00  1.00E+00  0.00E+00  100
#  15  8.50E-01  6.49E-01  2.63E-01  287.5
#  16  1.00E+00  1.00E+00  0.00E+00  300

[Mesh]#Comment
  file = heat_conduction_patch.e
[] # Mesh

[Functions]
  [./temps]
    type = ParsedFunction
    expression ='200*x+100*y+200*z'
  [../]
[] # Functions

[Variables]

  [./temp]
    order = FIRST
    family = LAGRANGE
  [../]

[] # Variables

[Kernels]

  [./heat]
    type = HeatConduction
    variable = temp
  [../]

[] # Kernels

[BCs]

  [./temps]
    type = FunctionDirichletBC
    variable = temp
    boundary = 10
    function = temps
  [../]

[] # BCs

[Materials]

  [./heat]
    type = HeatConductionMaterial
    block = 1

    specific_heat = 0.116
    thermal_conductivity = 4.85e-4
  [../]

[] # Materials

[Executioner]

  type = Steady

  #Preconditioned JFNK (default)
  solve_type = 'PJFNK'

  petsc_options_iname = '-pc_type -ksp_gmres_restart'
  petsc_options_value = 'lu       101'

  line_search = 'none'

  nl_abs_tol = 1e-11
  nl_rel_tol = 1e-10

  l_max_its = 20

[] # Executioner

[Outputs]
  exodus = true
[] # Output

(test/tests/postprocessors/avg_nodal_var_value/avg_nodal_var_value.i)

[Mesh]
  file = square-2x2-nodeids.e
[]

[Variables]
  active = 'u v'

  [./u]
    order = SECOND
    family = LAGRANGE
  [../]

  [./v]
    order = SECOND
    family = LAGRANGE
  [../]
[]

[Functions]
  active = 'force_fn exact_fn left_bc'

  [./force_fn]
    type = ParsedFunction
    expression = '1-x*x+2*t'
  [../]

  [./exact_fn]
    type = ParsedFunction
    expression = '(1-x*x)*t'
  [../]

  [./left_bc]
    type = ParsedFunction
    expression = t
  [../]
[]

[Kernels]
  active = '
    time_u diff_u ffn_u
    time_v diff_v'

  [./time_u]
    type = TimeDerivative
    variable = u
  [../]

  [./diff_u]
    type = Diffusion
    variable = u
  [../]

  [./ffn_u]
    type = BodyForce
    variable = u
    function = force_fn
  [../]

  [./time_v]
    type = TimeDerivative
    variable = v
  [../]

  [./diff_v]
    type = Diffusion
    variable = v
  [../]
[]

[BCs]
  active = 'all_u left_v right_v'

  [./all_u]
    type = FunctionDirichletBC
    variable = u
    boundary = '1'
    function = exact_fn
  [../]

  [./left_v]
    type = FunctionDirichletBC
    variable = v
    boundary = '3'
    function = left_bc
  [../]

  [./right_v]
    type = DirichletBC
    variable = v
    boundary = '2'
    value = 0
  [../]
[]

[Postprocessors]
  [./l2]
    type = ElementL2Error
    variable = u
    function = exact_fn
  [../]

  [./node1]
    type = AverageNodalVariableValue
    variable = u
    boundary = 10
  [../]

  [./node4]
    type = AverageNodalVariableValue
    variable = v
    boundary = 13
  [../]
[]

[Executioner]
  type = Transient

  solve_type = 'PJFNK'

  dt = 0.1
  start_time = 0
  end_time = 1
[]

[Outputs]
  execute_on = 'timestep_end'
  file_base = out_avg_nodal_var_value
  exodus = true
[]

(modules/contact/test/tests/sliding_block/in_and_out/frictional_04_penalty.i)

#  This is a benchmark test that checks constraint based frictional
#  contact using the penalty method.  In this test a sinusoidal
#  displacement is applied in the horizontal direction to simulate
#  a small block come in and out of contact as it slides down a larger block.
#
#  The sinusoid is of the form 0.4sin(4t)+0.2 and a friction coefficient
#  of 0.4 is used.  The gold file is run on one processor and the benchmark
#  case is run on a minimum of 4 processors to ensure no parallel variability
#  in the contact pressure and penetration results.  Further documentation can
#  found in moose/modules/contact/doc/sliding_block/
#

[Mesh]
  file = sliding_elastic_blocks_2d.e
  patch_size = 80
[]

[GlobalParams]
  volumetric_locking_correction = false
  displacements = 'disp_x disp_y'
[]

[AuxVariables]
  [penetration]
  []
  [inc_slip_x]
  []
  [inc_slip_y]
  []
  [accum_slip_x]
  []
  [accum_slip_y]
  []
[]

[Functions]
  [vertical_movement]
    type = ParsedFunction
    expression = -t
  []
  [horizontal_movement]
    type = ParsedFunction
    expression = -0.04*sin(4*t)+0.02
  []
[]

[Physics/SolidMechanics/QuasiStatic]
  [all]
    add_variables = true
    strain = FINITE
  []
[]

[AuxKernels]
  [zeroslip_x]
    type = ConstantAux
    variable = inc_slip_x
    boundary = 3
    execute_on = timestep_begin
    value = 0.0
  []
  [zeroslip_y]
    type = ConstantAux
    variable = inc_slip_y
    boundary = 3
    execute_on = timestep_begin
    value = 0.0
  []
  [accum_slip_x]
    type = AccumulateAux
    variable = accum_slip_x
    accumulate_from_variable = inc_slip_x
    execute_on = timestep_end
  []
  [accum_slip_y]
    type = AccumulateAux
    variable = accum_slip_y
    accumulate_from_variable = inc_slip_y
    execute_on = timestep_end
  []
  [penetration]
    type = PenetrationAux
    variable = penetration
    boundary = 3
    paired_boundary = 2
  []
[]

[Postprocessors]
  [nonlinear_its]
    type = NumNonlinearIterations
    execute_on = timestep_end
  []
  [penetration]
    type = NodalVariableValue
    variable = penetration
    nodeid = 222
  []
  [contact_pressure]
    type = NodalVariableValue
    variable = contact_pressure
    nodeid = 222
  []
[]

[BCs]
  [left_x]
    type = DirichletBC
    variable = disp_x
    boundary = 1
    value = 0.0
  []
  [left_y]
    type = DirichletBC
    variable = disp_y
    boundary = 1
    value = 0.0
  []
  [right_x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 4
    function = horizontal_movement
  []
  [right_y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 4
    function = vertical_movement
  []
[]

[Materials]
  [left]
    type = ComputeIsotropicElasticityTensor
    block = '1 2'
    youngs_modulus = 1e6
    poissons_ratio = 0.3
    constant_on = SUBDOMAIN
  []
  [left_stress]
    type = ComputeFiniteStrainElasticStress
    block = '1 2'
  []
[]

[Executioner]
  type = Transient
  solve_type = 'PJFNK'

  petsc_options = '-snes_ksp_ew'
  petsc_options_iname = '-pc_type -sub_pc_type -pc_asm_overlap -ksp_gmres_restart'
  petsc_options_value = 'asm     lu    20    101'

  line_search = 'none'

  l_max_its = 100
  nl_max_its = 1000
  dt = 0.1
  end_time = 15
  num_steps = 1000
  l_tol = 1e-3
  nl_rel_tol = 1e-10
  nl_abs_tol = 1e-6
  dtmin = 0.01

  [Predictor]
    type = SimplePredictor
    scale = 1.0
  []
[]

[Outputs]
  # csv = true
  time_step_interval = 10
  [out]
    type = Exodus
    elemental_as_nodal = true
  []
  [console]
    type = Console
    max_rows = 5
  []
[]

[Contact]
  [leftright]
    secondary = 3
    primary = 2
    model = coulomb
    penalty = 2e+6
    friction_coefficient = 0.4
    formulation = penalty
    normal_smoothing_distance = 0.1
  []
[]

(modules/solid_mechanics/test/tests/crystal_plasticity/euler_angles/euler_angle_conflict.i)

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]

[Mesh]
  type = GeneratedMesh
  dim = 3
  xmax = 4
  nx = 4
  elem_type = HEX8
[]

[AuxVariables]
  [euler_angle_1]
    order = CONSTANT
    family = MONOMIAL
  []
  [euler_angle_2]
    order = CONSTANT
    family = MONOMIAL
  []
  [euler_angle_3]
    order = CONSTANT
    family = MONOMIAL
  []
  # Euler angles aux variable to check the correctness of value assignments
  [check_euler_angle_1]
    order = CONSTANT
    family = MONOMIAL
  []
  [check_euler_angle_2]
    order = CONSTANT
    family = MONOMIAL
  []
  [check_euler_angle_3]
    order = CONSTANT
    family = MONOMIAL
  []
[]

[Physics]
  [SolidMechanics]
    [QuasiStatic]
      [all]
        strain = FINITE
        add_variables = true
        generate_output = stress_zz
      []
    []
  []
[]

[AuxKernels]
  [euler_angle_1]
    type = FunctionAux
    variable = euler_angle_1
    function = '10*t'
  []
  [euler_angle_2]
    type = FunctionAux
    variable = euler_angle_2
    function = '20*t'
  []
  [euler_angle_3]
    type = FunctionAux
    variable = euler_angle_3
    function = '30*t'
  []
  # output Euler angles material property to check correctness of value assignment
  [mat_euler_angle_1]
    type = MaterialRealVectorValueAux
    variable = check_euler_angle_1
    property = 'Euler_angles'
    component = 0
   []
   [mat_euler_angle_2]
    type = MaterialRealVectorValueAux
    variable = check_euler_angle_2
    property = 'Euler_angles'
    component = 1
   []
   [mat_euler_angle_3]
    type = MaterialRealVectorValueAux
    variable = check_euler_angle_3
    property = 'Euler_angles'
    component = 2
   []
[]

[BCs]
  [Periodic]
    [all]
      variable = 'disp_x'
      auto_direction = 'z'
    []
  []
  [fix_x]
    type = DirichletBC
    variable = disp_x
    boundary = 'left'
    value = 0
  []
  [fix_y]
    type = DirichletBC
    variable = disp_y
    boundary = 'bottom'
    value = 0
  []
  [fix_z]
    type = DirichletBC
    variable = disp_z
    boundary = 'back'
    value = 0
  []
  [tdisp]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'front'
    function = '0.01*t'
  []
[]

[Materials]
  [elasticity_tensor]
    type = ComputeElasticityTensorCP
    C_ijkl = '1.684e5 1.214e5 1.214e5 1.684e5 1.214e5 1.684e5 0.754e5 0.754e5 0.754e5'
    fill_method = symmetric9
    read_prop_user_object = prop_read
    euler_angle_variables = 'euler_angle_1 euler_angle_2 euler_angle_3'
  []
  [stress]
    type = ComputeMultipleCrystalPlasticityStress
    crystal_plasticity_models = 'trial_xtalpl'
    tan_mod_type = exact
  []
  [trial_xtalpl]
    type = CrystalPlasticityKalidindiUpdate
    number_slip_systems = 12
    slip_sys_file_name = input_slip_sys.txt
  []
[]

[UserObjects]
  [prop_read]
    type = PropertyReadFile
    prop_file_name = 'euler_ang_file.txt'
    # Enter file data as prop#1, prop#2, .., prop#nprop
    nprop = 3
    read_type = element
  []
[]

[Postprocessors]
  [check_euler_angle_1]
    type = ElementAverageValue
    variable = check_euler_angle_1
  []
  [check_euler_angle_2]
    type = ElementAverageValue
    variable = check_euler_angle_2
  []
  [check_euler_angle_3]
    type = ElementAverageValue
    variable = check_euler_angle_3
  []
[]

[Preconditioning]
  [smp]
    type = SMP
    full = true
  []
[]

[Executioner]
  type = Transient
  solve_type = 'PJFNK'

  petsc_options_iname = '-pc_type'
  petsc_options_value = ' lu '
  nl_abs_tol = 1e-10
  nl_rel_tol = 1e-10
  nl_abs_step_tol = 1e-10

  dt = 0.1
  dtmin = 0.01
  end_time = 0.5
[]

[Outputs]
  csv = true
[]

(modules/heat_transfer/test/tests/gap_heat_transfer_htonly/planar_xy.i)

# 1-D Gap Heat Transfer Test without mechanics
#
# This test exercises 1-D gap heat transfer for a constant conductivity gap.
#
# The mesh consists of two element blocks in the x-y plane.  Each element block
# is a square. They sit next to one another with a unit between them.
#
# The conductivity of both blocks is set very large to achieve a uniform temperature
# across each block. The temperature of the far bottom boundary
# is ramped from 100 to 200 over one time unit.  The temperature of the far top
# boundary is held fixed at 100.
#
# A simple analytical solution is possible for the heat flux between the blocks:
#
# Flux = (T_left - T_right) * (gapK/gap_width)
#
# The gap conductivity is specified as 1, thus
#
# gapK(Tavg) = 1.0*Tavg
#
# The heat flux across the gap at time = 1 is then:
#
# Flux = 100 * (1.0/1.0) = 100
#
# For comparison, see results from the flux post processors.  These results
# are the same as for the unit 1-D gap heat transfer between two unit cubes.



[Mesh]
  file = simple_2D.e
[]

[Functions]
  [./temp]
    type = PiecewiseLinear
    x = '0   1   2'
    y = '100 200 200'
  [../]
[]

[ThermalContact]
  [./thermal_contact]
    type = GapHeatTransfer
    variable = temp
    primary = 3
    secondary = 2
    emissivity_primary = 0
    emissivity_secondary = 0
  [../]
[]

[Variables]
  [./temp]
    order = FIRST
    family = LAGRANGE
    initial_condition = 100
  [../]
[]

[AuxVariables]
  [./gap_cond]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]

[Kernels]
  [./heat]
    type = HeatConduction
    variable = temp
  [../]
[]


[BCs]
  [./temp_far_bottom]
    type = FunctionDirichletBC
    boundary = 1
    variable = temp
    function = temp
  [../]
  [./temp_far_top]
    type = DirichletBC
    boundary = 4
    variable = temp
    value = 100
  [../]
[]

[AuxKernels]
  [./conductance]
    type = MaterialRealAux
    property = gap_conductance
    variable = gap_cond
    boundary = 2
  [../]
[]

[Materials]
  [./heat1]
    type = HeatConductionMaterial
    block = '1 2'
    specific_heat = 1.0
    thermal_conductivity = 100000000.0
  [../]
  [./density]
    type = GenericConstantMaterial
    block = '1 2'
    prop_names = 'density'
    prop_values = '1.0'
  [../]
[]

[Executioner]
  type = Transient

  solve_type = 'PJFNK'
  petsc_options_iname = '-ksp_gmres_restart -pc_type -pc_hypre_type -pc_hypre_boomeramg_max_iter'
  petsc_options_value = '201                hypre    boomeramg      4'

  line_search = 'none'
  nl_rel_tol = 1e-14
  l_tol = 1e-3
  l_max_its = 100

  dt = 1e-1
  end_time = 1.0
[]

[Postprocessors]
  [./temp_bottom]
    type = SideAverageValue
    boundary = 2
    variable = temp
    execute_on = 'initial timestep_end'
  [../]

  [./temp_top]
    type = SideAverageValue
    boundary = 3
    variable = temp
    execute_on = 'initial timestep_end'
  [../]

  [./flux_bottom]
    type = SideDiffusiveFluxIntegral
    variable = temp
    boundary = 2
    diffusivity = thermal_conductivity
    execute_on = 'initial timestep_end'
  [../]

  [./flux_top]
    type = SideDiffusiveFluxIntegral
    variable = temp
    boundary = 3
    diffusivity = thermal_conductivity
    execute_on = 'initial timestep_end'
  [../]
[]

[Outputs]
  exodus = true
[]

(modules/combined/test/tests/phase_field_fracture/crack2d_no_split.i)

#This input uses PhaseField-Nonconserved Action to add phase field fracture bulk rate kernels
[Mesh]
  [gen]
    type = GeneratedMeshGenerator
    dim = 2
    nx = 20
    ny = 10
    ymax = 0.5
  []
  [./noncrack]
    type = BoundingBoxNodeSetGenerator
    new_boundary = noncrack
    bottom_left = '0.5 0 0'
    top_right = '1 0 0'
    input = gen
  [../]
[]

[GlobalParams]
  displacements = 'disp_x disp_y'
[]

[Modules]
  [./PhaseField]
    [./Nonconserved]
      [./c]
        free_energy = F
        kappa = kappa_op
        mobility = L
      [../]
    [../]
  [../]
[]
[Physics]
  [./SolidMechanics]
    [./QuasiStatic]
      [./mech]
        add_variables = true
        strain = SMALL
        additional_generate_output = 'stress_yy'
        save_in = 'resid_x resid_y'
      [../]
    [../]
  [../]
[]

[AuxVariables]
  [./resid_x]
  [../]
  [./resid_y]
  [../]
[]

[Kernels]
  [./solid_x]
    type = PhaseFieldFractureMechanicsOffDiag
    variable = disp_x
    component = 0
    c = c
  [../]
  [./solid_y]
    type = PhaseFieldFractureMechanicsOffDiag
    variable = disp_y
    component = 1
    c = c
  [../]
[]

[BCs]
  [./ydisp]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = top
    function = 't'
  [../]
  [./yfix]
    type = DirichletBC
    variable = disp_y
    boundary = noncrack
    value = 0
  [../]
  [./xfix]
    type = DirichletBC
    variable = disp_x
    boundary = top
    value = 0
  [../]
[]

[Materials]
  [./pfbulkmat]
    type = GenericConstantMaterial
    prop_names = 'gc_prop l visco'
    prop_values = '1e-3 0.04 1e-4'
  [../]
  [./define_mobility]
    type = ParsedMaterial
    material_property_names = 'gc_prop visco'
    property_name = L
    expression = '1.0/(gc_prop * visco)'
  [../]
  [./define_kappa]
    type = ParsedMaterial
    material_property_names = 'gc_prop l'
    property_name = kappa_op
    expression = 'gc_prop * l'
  [../]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    C_ijkl = '120.0 80.0'
    fill_method = symmetric_isotropic
  [../]
  [./damage_stress]
    type = ComputeLinearElasticPFFractureStress
    c = c
    E_name = 'elastic_energy'
    D_name = 'degradation'
    F_name = 'local_fracture_energy'
    decomposition_type = none
  [../]
  [./degradation]
    type = DerivativeParsedMaterial
    property_name = degradation
    coupled_variables = 'c'
    expression = '(1.0-c)^2*(1.0 - eta) + eta'
    constant_names       = 'eta'
    constant_expressions = '0.0'
    derivative_order = 2
  [../]
  [./local_fracture_energy]
    type = DerivativeParsedMaterial
    property_name = local_fracture_energy
    coupled_variables = 'c'
    material_property_names = 'gc_prop l'
    expression = 'c^2 * gc_prop / 2 / l'
    derivative_order = 2
  [../]
  [./fracture_driving_energy]
    type = DerivativeSumMaterial
    coupled_variables = c
    sum_materials = 'elastic_energy local_fracture_energy'
    derivative_order = 2
    property_name = F
  [../]
[]

[Postprocessors]
  [./resid_x]
    type = NodalSum
    variable = resid_x
    boundary = 2
  [../]
  [./resid_y]
    type = NodalSum
    variable = resid_y
    boundary = 2
  [../]
[]

[Preconditioning]
  [./smp]
    type = SMP
    full = true
  [../]
[]

[Executioner]
  type = Transient

  solve_type = PJFNK
  petsc_options_iname = '-pc_type -ksp_gmres_restart -sub_ksp_type -sub_pc_type -pc_asm_overlap'
  petsc_options_value = 'asm      31                  preonly       lu           1'

  nl_rel_tol = 1e-8
  l_max_its = 10
  nl_max_its = 10

  dt = 1e-4
  dtmin = 1e-4
  num_steps = 2
[]

[Outputs]
  exodus = true
[]

(modules/contact/test/tests/mechanical_constraint/glued_penalty.i)

[Mesh]
  file = blocks_2d_nogap.e
[]

[GlobalParams]
  volumetric_locking_correction = false
  displacements = 'disp_x disp_y'
[]

[AuxVariables]
  [./penetration]
  [../]
  [./inc_slip_x]
  [../]
  [./inc_slip_y]
  [../]
  [./accum_slip_x]
  [../]
  [./accum_slip_y]
  [../]
[]

[Functions]
  [./vertical_movement]
    type = ParsedFunction
    expression = -t
  [../]
[]

[Physics/SolidMechanics/QuasiStatic]
  [./all]
    add_variables = true
    strain = FINITE
  [../]
[]

[AuxKernels]
  [./zeroslip_x]
    type = ConstantAux
    variable = inc_slip_x
    boundary = 3
    execute_on = timestep_begin
    value = 0.0
  [../]
  [./zeroslip_y]
    type = ConstantAux
    variable = inc_slip_y
    boundary = 3
    execute_on = timestep_begin
    value = 0.0
  [../]
  [./accum_slip_x]
    type = AccumulateAux
    variable = accum_slip_x
    accumulate_from_variable = inc_slip_x
    execute_on = timestep_end
  [../]
  [./accum_slip_y]
    type = AccumulateAux
    variable = accum_slip_y
    accumulate_from_variable = inc_slip_y
    execute_on = timestep_end
  [../]
  [./penetration]
    type = PenetrationAux
    variable = penetration
    boundary = 3
    paired_boundary = 2
  [../]
[]

[BCs]
  [./left_x]
    type = DirichletBC
    variable = disp_x
    boundary = 1
    value = 0.0
  [../]
  [./left_y]
    type = DirichletBC
    variable = disp_y
    boundary = 1
    value = 0.0
  [../]
  [./right_x]
    type = DirichletBC
    variable = disp_x
    boundary = 4
    #Initial gap is 0.01
    value = -0.01
  [../]
  [./right_y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 4
    function = vertical_movement
  [../]
[]

[Materials]
  [./left]
    type = ComputeIsotropicElasticityTensor
    block = '1'
    youngs_modulus = 1e7
    poissons_ratio = 0.3
  [../]
  [./right]
    type = ComputeIsotropicElasticityTensor
    block = '2'
    youngs_modulus = 1e6
    poissons_ratio = 0.3
  [../]
  [./stress]
    type = ComputeFiniteStrainElasticStress
    block = '1 2'
  [../]
[]

[Executioner]
  type = Transient

  solve_type = 'PJFNK'

  petsc_options_iname = '-pc_type'
  petsc_options_value = 'lu'

  line_search = 'none'

  l_max_its = 100
  nl_max_its = 1000
  dt = 0.01
  end_time = 0.10
  num_steps = 1000
  l_tol = 1e-6
  nl_rel_tol = 1e-10
  nl_abs_tol = 1e-8
  dtmin = 0.01

  [./Predictor]
    type = SimplePredictor
    scale = 1.0
  [../]
[]

[Outputs]
  [./out]
    type = Exodus
    elemental_as_nodal = true
  [../]
  [./console]
    type = Console
    max_rows = 5
  [../]
[]

[Contact]
  [./leftright]
    primary = 2
    secondary = 3
    model = glued
    formulation = penalty
    penalty = 1e+7
  [../]
[]

(modules/solid_mechanics/test/tests/mohr_coulomb/planar3.i)

# apply repeated stretches in x z directions, and smaller stretches along the y direction,
# so that sigma_I = sigma_II,
# which means that lode angle = 30deg.

[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]


[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
[]

[Kernels]
  [SolidMechanics]
    displacements = 'disp_x disp_y disp_z'
  [../]
[]


[BCs]
  [./x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'front back'
    function = '1E-6*x*t'
  [../]
  [./y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'front back'
    function = '0.25E-6*y*sin(t)'
  [../]
  [./z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'front back'
    function = '1.1E-6*z*t'
  [../]
[]

[AuxVariables]
  [./stress_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./iter]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]

[AuxKernels]
  [./stress_xx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xx
    index_i = 0
    index_j = 0
  [../]
  [./stress_xy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xy
    index_i = 0
    index_j = 1
  [../]
  [./stress_xz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xz
    index_i = 0
    index_j = 2
  [../]
  [./stress_yy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yy
    index_i = 1
    index_j = 1
  [../]
  [./stress_yz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yz
    index_i = 1
    index_j = 2
  [../]
  [./stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zz
    index_i = 2
    index_j = 2
  [../]
  [./f]
    type = MaterialStdVectorAux
    index = 0
    property = plastic_yield_function
    variable = f
  [../]
  [./iter]
    type = MaterialRealAux
    property = plastic_NR_iterations
    variable = iter
  [../]
[]

[Postprocessors]
  [./s_xx]
    type = PointValue
    point = '0 0 0'
    variable = stress_xx
  [../]
  [./s_xy]
    type = PointValue
    point = '0 0 0'
    variable = stress_xy
  [../]
  [./s_xz]
    type = PointValue
    point = '0 0 0'
    variable = stress_xz
  [../]
  [./s_yy]
    type = PointValue
    point = '0 0 0'
    variable = stress_yy
  [../]
  [./s_yz]
    type = PointValue
    point = '0 0 0'
    variable = stress_yz
  [../]
  [./s_zz]
    type = PointValue
    point = '0 0 0'
    variable = stress_zz
  [../]
  [./f]
    type = PointValue
    point = '0 0 0'
    variable = f
  [../]
  [./iter]
    type = PointValue
    point = '0 0 0'
    variable = iter
  [../]
[]

[UserObjects]
  [./coh]
    type = SolidMechanicsHardeningConstant
    value = 10
  [../]
  [./phi]
    type = SolidMechanicsHardeningConstant
    value = 0.9
  [../]
  [./psi]
    type = SolidMechanicsHardeningConstant
    value = 0.1
  [../]
  [./mc]
    type = SolidMechanicsPlasticMohrCoulombMulti
    cohesion = coh
    friction_angle = phi
    dilation_angle = psi
    yield_function_tolerance = 1E-8
    shift = 1E-8
    internal_constraint_tolerance = 1E-9
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    block = 0
    fill_method = symmetric_isotropic
    C_ijkl = '0 1E7'
  [../]
  [./strain]
    type = ComputeFiniteStrain
    block = 0
    displacements = 'disp_x disp_y disp_z'
  [../]
  [./mc]
    type = ComputeMultiPlasticityStress
    block = 0
    ep_plastic_tolerance = 1E-9
    plastic_models = mc
    deactivation_scheme = safe
    max_NR_iterations = 3
    min_stepsize = 1
    max_stepsize_for_dumb = 1
    debug_fspb = crash
    debug_jac_at_stress = '10 5 2 5 11 -1 2 -1 12'
    debug_jac_at_pm = '1 1 1 1 1 1'
    debug_jac_at_intnl = 1
    debug_stress_change = 1E-5
    debug_pm_change = '1E-6 1E-6 1E-6 1E-6 1E-6 1E-6'
    debug_intnl_change = 1E-6
  [../]
[]


[Executioner]
  end_time = 10
  dt = 1
  type = Transient
[]


[Outputs]
  file_base = planar3
  exodus = false
  [./csv]
    type = CSV
    [../]
[]

(modules/contact/test/tests/mortar_dynamics/frictional-mortar-3d-dynamics-light-function.i)

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
  volumetric_locking_correction = true
[]

[AuxVariables]
  [mortar_tangent_x]
    family = LAGRANGE
    order = FIRST
  []
  [mortar_tangent_y]
    family = LAGRANGE
    order = FIRST
  []
  [mortar_tangent_z]
    family = LAGRANGE
    order = FIRST
  []
[]

[AuxKernels]
  [friction_x_component]
    type = MortarFrictionalPressureVectorAux
    primary_boundary = 'bottom_top'
    secondary_boundary = 'top_bottom'
    tangent_one = mortar_tangential_lm
    tangent_two = mortar_tangential_3d_lm
    variable = mortar_tangent_x
    component = 0
    boundary = 'top_bottom'
  []
  [friction_y_component]
    type = MortarFrictionalPressureVectorAux
    primary_boundary = 'bottom_top'
    secondary_boundary = 'top_bottom'
    tangent_one = mortar_tangential_lm
    tangent_two = mortar_tangential_3d_lm
    variable = mortar_tangent_y
    component = 1
    boundary = 'top_bottom'
  []
  [friction_z_component]
    type = MortarFrictionalPressureVectorAux
    primary_boundary = 'bottom_top'
    secondary_boundary = 'top_bottom'
    tangent_one = mortar_tangential_lm
    tangent_two = mortar_tangential_3d_lm
    variable = mortar_tangent_z
    component = 2
    boundary = 'top_bottom'
  []
[]

[Mesh]
  [top_block]
    type = GeneratedMeshGenerator
    dim = 3
    nx = 2
    ny = 2
    nz = 1
    xmin = -0.25
    xmax = 0.25
    ymin = -0.25
    ymax = 0.25
    zmin = -0.25
    zmax = 0.25
    elem_type = HEX8
  []
  [rotate_top_block]
    type = TransformGenerator
    input = top_block
    transform = ROTATE
    vector_value = '0 0 0'
  []
  [top_block_sidesets]
    type = RenameBoundaryGenerator
    input = rotate_top_block
    old_boundary = '0 1 2 3 4 5'
    new_boundary = 'top_bottom top_back top_right top_front top_left top_top'
  []
  [top_block_id]
    type = SubdomainIDGenerator
    input = top_block_sidesets
    subdomain_id = 1
  []
  [bottom_block]
    type = GeneratedMeshGenerator
    dim = 3
    nx = 2
    ny = 2
    nz = 1
    xmin = -.5
    xmax = .5
    ymin = -.5
    ymax = .5
    zmin = -.3
    zmax = -.25
    elem_type = HEX8
  []
  [bottom_block_id]
    type = SubdomainIDGenerator
    input = bottom_block
    subdomain_id = 2
  []
  [bottom_block_change_boundary_id]
    type = RenameBoundaryGenerator
    input = bottom_block_id
    old_boundary = '0 1 2 3 4 5'
    new_boundary = '100 101 102 103 104 105'
  []
  [combined]
    type = MeshCollectionGenerator
    inputs = 'top_block_id bottom_block_change_boundary_id'
  []
  [block_rename]
    type = RenameBlockGenerator
    input = combined
    old_block = '1 2'
    new_block = 'top_block bottom_block'
  []
  [bottom_right_sideset]
    type = SideSetsAroundSubdomainGenerator
    input = block_rename
    new_boundary = bottom_right
    block = bottom_block
    normal = '1 0 0'
  []
  [bottom_left_sideset]
    type = SideSetsAroundSubdomainGenerator
    input = bottom_right_sideset
    new_boundary = bottom_left
    block = bottom_block
    normal = '-1 0 0'
  []
  [bottom_top_sideset]
    type = SideSetsAroundSubdomainGenerator
    input = bottom_left_sideset
    new_boundary = bottom_top
    block = bottom_block
    normal = '0 0 1'
  []
  [bottom_bottom_sideset]
    type = SideSetsAroundSubdomainGenerator
    input = bottom_top_sideset
    new_boundary = bottom_bottom
    block = bottom_block
    normal = '0  0 -1'
  []
  [bottom_front_sideset]
    type = SideSetsAroundSubdomainGenerator
    input = bottom_bottom_sideset
    new_boundary = bottom_front
    block = bottom_block
    normal = '0 1 0'
  []
  [bottom_back_sideset]
    type = SideSetsAroundSubdomainGenerator
    input = bottom_front_sideset
    new_boundary = bottom_back
    block = bottom_block
    normal = '0 -1 0'
  []
  [secondary]
    input = bottom_back_sideset
    type = LowerDBlockFromSidesetGenerator
    sidesets = 'top_bottom' # top_back top_left'
    new_block_id = '10001'
    new_block_name = 'secondary_lower'
  []
  [primary]
    input = secondary
    type = LowerDBlockFromSidesetGenerator
    sidesets = 'bottom_top'
    new_block_id = '10000'
    new_block_name = 'primary_lower'
  []
  uniform_refine = 0
[]

[Functions]
  # x: Contact pressure
  # y: Magnitude of tangential relative velocity
  # z: Temperature (to be implemented)
  [mu_function]
    type = ParsedFunction
    expression = '0.3 + 0.5 * 2.17^(-x/100) - 10.0 * y'
  []
[]

[Variables]
  [mortar_normal_lm]
    block = 'secondary_lower'
    use_dual = true
    scaling = 1e-3
  []
  [mortar_tangential_lm]
    block = 'secondary_lower'
    use_dual = true
    scaling = 1e-3
  []
  [mortar_tangential_3d_lm]
    block = 'secondary_lower'
    use_dual = true
    scaling = 1e-3
  []
[]

[Physics/SolidMechanics/Dynamic]
  [all]
    add_variables = true
    hht_alpha = 0.0
    newmark_beta = 0.25
    newmark_gamma = 0.5
    mass_damping_coefficient = 0.0
    stiffness_damping_coefficient = 0.02
    displacements = 'disp_x disp_y disp_z'
    generate_output = 'stress_xx stress_xy stress_xz stress_yy stress_zz'
    block = '1 2'
    strain = FINITE
    density = density
  []
[]

[Materials]
  [density]
    type = GenericConstantMaterial
    block = '1 2'
    prop_names = 'density'
    prop_values = '1.0'
  []
  [tensor]
    type = ComputeIsotropicElasticityTensor
    block = '1'
    youngs_modulus = 1.0e4
    poissons_ratio = 0.0
  []
  [stress]
    type = ComputeFiniteStrainElasticStress
    block = '1'
  []

  [tensor_1000]
    type = ComputeIsotropicElasticityTensor
    block = '2'
    youngs_modulus = 1e5
    poissons_ratio = 0.0
  []
  [stress_1000]
    type = ComputeFiniteStrainElasticStress
    block = '2'
  []
[]

[UserObjects]
  [weighted_vel_uo]
    type = LMWeightedVelocitiesUserObject
    primary_boundary = 20
    secondary_boundary = 10
    primary_subdomain = 4
    secondary_subdomain = 3
    lm_variable_normal = mortar_normal_lm
    lm_variable_tangential_one = mortar_tangential_lm
    lm_variable_tangential_two = mortar_tangential_3d_lm
    secondary_variable = disp_x
    disp_x = disp_x
    disp_y = disp_y
  []
[]

[Constraints]
  [friction]
    type = ComputeDynamicFrictionalForceLMMechanicalContact
    primary_boundary = 'bottom_top'
    secondary_boundary = 'top_bottom'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    variable = mortar_normal_lm
    disp_x = disp_x
    disp_y = disp_y
    disp_z = disp_z
    use_displaced_mesh = true
    friction_lm = mortar_tangential_lm
    friction_lm_dir = mortar_tangential_3d_lm
    c = 1e5
    c_t = 1.0e5
    newmark_beta = 0.25
    newmark_gamma = 0.5
    interpolate_normals = false
    correct_edge_dropping = true
    capture_tolerance = 1e-04
    function_friction = mu_function
  []
  [normal_x]
    type = NormalMortarMechanicalContact
    primary_boundary = 'bottom_top'
    secondary_boundary = 'top_bottom'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    variable = mortar_normal_lm
    secondary_variable = disp_x
    component = x
    use_displaced_mesh = true
    compute_lm_residuals = false
    interpolate_normals = false
    correct_edge_dropping = true
    weighted_gap_uo = weighted_vel_uo
  []
  [normal_y]
    type = NormalMortarMechanicalContact
    primary_boundary = 'bottom_top'
    secondary_boundary = 'top_bottom'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    variable = mortar_normal_lm
    secondary_variable = disp_y
    component = y
    use_displaced_mesh = true
    compute_lm_residuals = false
    interpolate_normals = false
    correct_edge_dropping = true
    weighted_gap_uo = weighted_vel_uo
  []
  [normal_z]
    type = NormalMortarMechanicalContact
    primary_boundary = 'bottom_top'
    secondary_boundary = 'top_bottom'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    variable = mortar_normal_lm
    secondary_variable = disp_z
    component = z
    use_displaced_mesh = true
    compute_lm_residuals = false
    interpolate_normals = false
    correct_edge_dropping = true
    weighted_gap_uo = weighted_vel_uo
  []
  [tangential_x]
    type = TangentialMortarMechanicalContact
    primary_boundary = 'bottom_top'
    secondary_boundary = 'top_bottom'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    variable = mortar_tangential_lm
    secondary_variable = disp_x
    component = x
    use_displaced_mesh = true
    compute_lm_residuals = false
    interpolate_normals = false
    correct_edge_dropping = true
    weighted_velocities_uo = weighted_vel_uo
  []
  [tangential_y]
    type = TangentialMortarMechanicalContact
    primary_boundary = 'bottom_top'
    secondary_boundary = 'top_bottom'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    variable = mortar_tangential_lm
    secondary_variable = disp_y
    component = y
    use_displaced_mesh = true
    compute_lm_residuals = false
    interpolate_normals = false
    correct_edge_dropping = true
    weighted_velocities_uo = weighted_vel_uo
  []
  [tangential_z]
    type = TangentialMortarMechanicalContact
    primary_boundary = 'bottom_top'
    secondary_boundary = 'top_bottom'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    variable = mortar_tangential_lm
    secondary_variable = disp_z
    component = z
    use_displaced_mesh = true
    compute_lm_residuals = false
    interpolate_normals = false
    correct_edge_dropping = true
    weighted_velocities_uo = weighted_vel_uo
  []
  [tangential_dir_x]
    type = TangentialMortarMechanicalContact
    primary_boundary = 'bottom_top'
    secondary_boundary = 'top_bottom'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    variable = mortar_tangential_3d_lm
    secondary_variable = disp_x
    component = x
    direction = direction_2
    use_displaced_mesh = true
    compute_lm_residuals = false
    interpolate_normals = false
    correct_edge_dropping = true
    weighted_velocities_uo = weighted_vel_uo
  []
  [tangential_dir_y]
    type = TangentialMortarMechanicalContact
    primary_boundary = 'bottom_top'
    secondary_boundary = 'top_bottom'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    variable = mortar_tangential_3d_lm
    secondary_variable = disp_y
    component = y
    direction = direction_2
    use_displaced_mesh = true
    compute_lm_residuals = false
    interpolate_normals = false
    correct_edge_dropping = true
    weighted_velocities_uo = weighted_vel_uo
  []
  [tangential_dir_z]
    type = TangentialMortarMechanicalContact
    primary_boundary = 'bottom_top'
    secondary_boundary = 'top_bottom'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    variable = mortar_tangential_3d_lm
    secondary_variable = disp_z
    component = z
    direction = direction_2
    use_displaced_mesh = true
    compute_lm_residuals = false
    interpolate_normals = false
    correct_edge_dropping = true
    weighted_velocities_uo = weighted_vel_uo
  []
[]

[BCs]
  [botx]
    type = DirichletBC
    variable = disp_x
    boundary = 'bottom_left bottom_right bottom_front bottom_back bottom_top bottom_bottom'
    value = 0.0
  []
  [boty]
    type = DirichletBC
    variable = disp_y
    boundary = 'bottom_left bottom_right bottom_front bottom_back bottom_top bottom_bottom'
    value = 0.0
  []
  [botz]
    type = DirichletBC
    variable = disp_z
    boundary = 'bottom_left bottom_right bottom_front bottom_back bottom_top bottom_bottom'
    value = 0.0
  []
  [topx]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'top_top'
    function = '0.1*t'
  []
  [topy]
    type = DirichletBC
    variable = disp_y
    boundary = 'top_top'
    value = 0.0
  []
  [topz]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'top_top'
    function = '-0.1*t'
  []
[]

[Executioner]
  type = Transient
  end_time = .04
  dt = .02
  dtmin = .001
  solve_type = 'NEWTON'
  petsc_options = '-snes_converged_reason -ksp_converged_reason -snes_ksp_ew'
  petsc_options_iname = '-pc_type  -pc_factor_shift_type'
  petsc_options_value = ' lu       NONZERO             '
  nl_rel_tol = 5e-13
  nl_abs_tol = 5e-13
  line_search = 'basic'

  [TimeIntegrator]
    type = NewmarkBeta
    gamma = 0.5
    beta = 0.25
  []
[]

[Debug]
  show_var_residual_norms = true
[]

[Outputs]
  exodus = true
  csv = true
[]

[Preconditioning]
  [smp]
    type = SMP
    full = true
  []
[]

[Postprocessors]
  active = 'contact'
  [contact]
    type = ContactDOFSetSize
    variable = mortar_normal_lm
    subdomain = 'secondary_lower'
    execute_on = 'nonlinear timestep_end'
  []
[]

[VectorPostprocessors]
  [contact-pressure]
    type = NodalValueSampler
    block = secondary_lower
    variable = mortar_normal_lm
    sort_by = 'id'
    execute_on = TIMESTEP_END
  []
  [frictional-pressure]
    type = NodalValueSampler
    block = secondary_lower
    variable = mortar_tangential_lm
    sort_by = 'id'
    execute_on = TIMESTEP_END
  []
  [frictional-pressure-3d]
    type = NodalValueSampler
    block = secondary_lower
    variable = mortar_tangential_3d_lm
    sort_by = 'id'
    execute_on = TIMESTEP_END
  []
  [tangent_x]
    type = NodalValueSampler
    block = secondary_lower
    variable = mortar_tangent_x
    sort_by = 'id'
    execute_on = TIMESTEP_END
  []
  [tangent_y]
    type = NodalValueSampler
    block = secondary_lower
    variable = mortar_tangent_y
    sort_by = 'id'
    execute_on = TIMESTEP_END
  []
[]

(modules/solid_mechanics/test/tests/drucker_prager/small_deform3_native.i)

# apply repeated stretches in x z directions, and smaller stretches along the y direction,
# so that sigma_I = sigma_II,
# which means that lode angle = 30deg.
# The allows yield surface in meridional plane to be mapped out


[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]


[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
[]

[Kernels]
  [SolidMechanics]
    displacements = 'disp_x disp_y disp_z'
  [../]
[]


[BCs]
  [./x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'front back'
    function = '1E-6*x*t'
  [../]
  [./y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'front back'
    function = '-1.35E-6*y*t'
  [../]
  [./z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'front back'
    function = '1E-6*z*t'
  [../]
[]

[AuxVariables]
  [./stress_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./mc_int]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./yield_fcn]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]

[AuxKernels]
  [./stress_xx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xx
    index_i = 0
    index_j = 0
  [../]
  [./stress_xy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xy
    index_i = 0
    index_j = 1
  [../]
  [./stress_xz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xz
    index_i = 0
    index_j = 2
  [../]
  [./stress_yy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yy
    index_i = 1
    index_j = 1
  [../]
  [./stress_yz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yz
    index_i = 1
    index_j = 2
  [../]
  [./stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zz
    index_i = 2
    index_j = 2
  [../]
  [./mc_int_auxk]
    type = MaterialStdVectorAux
    index = 0
    property = plastic_internal_parameter
    variable = mc_int
  [../]
  [./yield_fcn_auxk]
    type = MaterialStdVectorAux
    index = 0
    property = plastic_yield_function
    variable = yield_fcn
  [../]
[]

[Postprocessors]
  [./s_xx]
    type = PointValue
    point = '0 0 0'
    variable = stress_xx
  [../]
  [./s_xy]
    type = PointValue
    point = '0 0 0'
    variable = stress_xy
  [../]
  [./s_xz]
    type = PointValue
    point = '0 0 0'
    variable = stress_xz
  [../]
  [./s_yy]
    type = PointValue
    point = '0 0 0'
    variable = stress_yy
  [../]
  [./s_yz]
    type = PointValue
    point = '0 0 0'
    variable = stress_yz
  [../]
  [./s_zz]
    type = PointValue
    point = '0 0 0'
    variable = stress_zz
  [../]
  [./internal]
    type = PointValue
    point = '0 0 0'
    variable = mc_int
  [../]
  [./f]
    type = PointValue
    point = '0 0 0'
    variable = yield_fcn
  [../]
[]

[UserObjects]
  [./mc_coh]
    type = SolidMechanicsHardeningConstant
    value = 10
  [../]
  [./mc_phi]
    type = SolidMechanicsHardeningConstant
    value = 35
    convert_to_radians = true
  [../]
  [./mc_psi]
    type = SolidMechanicsHardeningConstant
    value = 5
    convert_to_radians = true
  [../]
  [./mc]
    type = SolidMechanicsPlasticDruckerPragerHyperbolic
    mc_cohesion = mc_coh
    mc_friction_angle = mc_phi
    mc_dilation_angle = mc_psi
    smoother = 8
    mc_interpolation_scheme = native
    yield_function_tolerance = 1E-7
    internal_constraint_tolerance = 1E-9
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    block = 0
    fill_method = symmetric_isotropic
    C_ijkl = '0 1E7'
  [../]
  [./strain]
    type = ComputeIncrementalStrain
    block = 0
    displacements = 'disp_x disp_y disp_z'
  [../]
  [./mc]
    type = ComputeMultiPlasticityStress
    block = 0
    ep_plastic_tolerance = 1E-13
    plastic_models = mc
    debug_fspb = crash
  [../]
[]


[Executioner]
  end_time = 10
  dt = 1
  type = Transient
[]


[Outputs]
  file_base = small_deform3_native
  exodus = false
  [./csv]
    type = CSV
    [../]
[]

(modules/solid_mechanics/test/tests/smeared_cracking/cracking_power.i)

#
# Simple test of power law softening law for smeared cracking.
# Upon reaching the failure stress in the x direction, the
# softening model abruptly reduces the stress to a fraction
# of its original value, and re-loading occurs at a reduced
# stiffness. This is repeated multiple times.

[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
[]

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]

[Functions]
  [./displ]
    type = PiecewiseLinear
    x = '0 1 2 3  4'
    y = '0 1 0 -1 0'
  [../]
[]

[Physics/SolidMechanics/QuasiStatic]
  [./all]
    strain = FINITE
    add_variables = true
    generate_output = 'stress_xx stress_yy stress_zz stress_xy stress_yz stress_zx'
  [../]
[]

[BCs]
  [./pull]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = right
    function = displ
  [../]
  [./left]
    type = DirichletBC
    variable = disp_x
    boundary = left
    value = 0.0
  [../]
  [./bottom]
    type = DirichletBC
    variable = disp_y
    boundary = bottom
    value = 0.0
  [../]
  [./back]
    type = DirichletBC
    variable = disp_z
    boundary = back
    value = 0.0
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeIsotropicElasticityTensor
    youngs_modulus = 2.8e7
    poissons_ratio = 0
  [../]
  [./elastic_stress]
    type = ComputeSmearedCrackingStress
    cracking_stress = 1.68e6
    cracked_elasticity_type = FULL
    softening_models = power_law_softening
  [../]
  [./power_law_softening]
    type = PowerLawSoftening
    stiffness_reduction = 0.3333
  [../]
[]

[Executioner]
  type = Transient

  petsc_options_iname = '-ksp_gmres_restart -pc_type -sub_pc_type'
  petsc_options_value = '101                asm      lu'

  line_search = 'none'

  l_max_its = 100
  nl_max_its = 100
  nl_rel_tol = 1e-8
  nl_abs_tol = 1e-8
  l_tol = 1e-5
  start_time = 0.0
  end_time = 1.0
  dt = 0.01
[]

[Outputs]
  exodus = true
[]

(modules/xfem/test/tests/moment_fitting/diffusion_moment_fitting_four_points.i)

# Test for a diffusion problem which uses four points moment_fitting approach.
# See this paper (https://doi.org/10.1007/s00466-018-1544-2) for more details about moment_fitting approach.

[GlobalParams]
  order = FIRST
  family = LAGRANGE
[]

[Mesh]
  type = GeneratedMesh
  dim = 2
  nx = 5
  ny = 6
  xmin = 0.0
  xmax = 1.0
  ymin = 0.0
  ymax = 1.0
  elem_type = QUAD4
[]

[XFEM]
  geometric_cut_userobjects = 'line_seg_cut_uo'
  qrule = moment_fitting
  output_cut_plane = true
[]

[UserObjects]
  [./line_seg_cut_uo]
    type = LineSegmentCutUserObject
    cut_data = '0.5 1.0 0.5 0.5'
    time_start_cut = 0.0
    time_end_cut = 0.0
  [../]
[]

[Variables]
  [./u]
  [../]
[]

[Functions]
  [./u_left]
    type = PiecewiseLinear
    x = '0   2'
    y = '0  0.1'
  [../]
[]

[Kernels]
  [./diff]
    type = Diffusion
    variable = u
  [../]
[]

[BCs]
# Define boundary conditions
  [./left_u]
    type = FunctionDirichletBC
    variable = u
    boundary = 3
    function = u_left
  [../]

  [./right_u]
    type = DirichletBC
    variable = u
    boundary = 1
    value = 0
  [../]
[]

[Executioner]
  type = Transient
  solve_type = 'PJFNK'
  petsc_options_iname = '-pc_type -pc_hypre_type'
  petsc_options_value = 'hypre boomeramg'
  line_search = 'none'

  l_tol = 1e-3
  nl_max_its = 15
  nl_rel_tol = 1e-10
  nl_abs_tol = 1e-10

  start_time = 0.0
  dt = 1.0
  end_time = 2.0
[]

[Outputs]
  time_step_interval = 1
  execute_on = timestep_end
  exodus = true
  [./console]
    type = Console
    output_linear = true
  [../]
[]

(test/tests/multiapps/restart_multilevel/parent.i)

[Mesh]
  type = GeneratedMesh
  dim = 2
  xmin = 0
  ymin = 0
  xmax = 1
  ymax = 1
  nx = 10
  ny = 10
[]

[Functions]
  [v_fn]
    type = ParsedFunction
    expression = t*x
  []
  [ffn]
    type = ParsedFunction
    expression = x
  []
[]

[AuxVariables]
  [v]
  []
[]

[Variables]
  [u]
  []
[]

[Kernels]
  [diff]
    type = Diffusion
    variable = u
  []
  [td]
    type = TimeDerivative
    variable = u
  []
  [ufn]
    type = BodyForce
    variable = u
    function = ffn
  []
[]

[BCs]
  [all]
    type = FunctionDirichletBC
    variable = u
    boundary = 'left right top bottom'
    function = v_fn
  []
[]

[Executioner]
  type = Transient
  num_steps = 5
  dt = 0.1
  solve_type = 'PJFNK'
[]

[Outputs]
  exodus = true
  checkpoint = true
[]

[MultiApps]
  [sub_app]
    app_type = MooseTestApp
    type = TransientMultiApp
    input_files = 'sub.i'
    execute_on = timestep_end
    positions = '0 -1 0'
  []
[]

[Transfers]
  [from_sub]
    type = MultiAppGeneralFieldNearestLocationTransfer
    from_multi_app = sub_app
    source_variable = u
    variable = v
  []
[]

(modules/solid_mechanics/test/tests/finite_strain_elastic_anisotropy/3d_bar_orthotropic.i)

[Mesh]
  [generated_mesh]
    type = GeneratedMeshGenerator
    dim = 3
    xmin = 0
    xmax = 2
    ymin = 0
    ymax = 2
    zmin = 0
    zmax = 10
    nx = 6
    ny = 2
    nz = 2
    elem_type = HEX8
  []
  [corner]
    type = ExtraNodesetGenerator
    new_boundary = 101
    coord = '0 0 0'
    input = generated_mesh
  []
  [side]
    type = ExtraNodesetGenerator
    new_boundary = 102
    coord = '2 0 0'
    input = corner
  []
[]

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]

[Physics/SolidMechanics/QuasiStatic]
  [all]
    strain = FINITE
    add_variables = true
    use_finite_deform_jacobian = true
    volumetric_locking_correction = false
    generate_output = 'stress_xx stress_yy stress_zz stress_xy stress_xz'
  []
[]

[Materials]
  [stress]
    type = ComputeFiniteStrainElasticStress
  []
  [elasticity_tensor]
    type = ComputeElasticityTensor
    fill_method = orthotropic
    C_ijkl = '2.0e5 2.0e5 2.0e5 0.71428571e5 0.71428571e5 0.71428571e5 0.4 0.4 0.4 0.4 0.4 0.4' # Isotropic
  []
[]

[BCs]
  [fix_corner_x]
    type = DirichletBC
    variable = disp_x
    boundary = 101
    value = 0
  []
  [fix_corner_y]
    type = DirichletBC
    variable = disp_y
    boundary = 101
    value = 0
  []
  [fix_side_y]
    type = DirichletBC
    variable = disp_y
    boundary = 102
    value = 0
  []
  [fix_z]
    type = DirichletBC
    variable = disp_z
    boundary = back
    value = 0
  []
  [move_z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = front
    function = 't'
  []
  [move_y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = front
    function = 't*1.4'
  []
[]

[Executioner]
  type = Transient

  solve_type = NEWTON
  petsc_options_iname = '-pc_type'
  petsc_options_value = 'lu'

  nl_rel_tol = 1e-12
  nl_max_its = 50

  l_tol = 1e-4
  l_max_its = 50

  dt = 0.4
  dtmin = 0.4

  num_steps = 1
[]

[Preconditioning]
  [smp]
    type = SMP
    full = true
  []
[]

[Outputs]
  exodus = true
[]

(test/tests/time_integrators/multiple-integrators/test_ti_split.i)

[Mesh]
  type = GeneratedMesh
  dim = 2
  nx = 10
  ny = 10
[]

[Problem]
  nl_sys_names = 'nl0 nl1'
[]

[Variables]
  [u]
    solver_sys = 'nl0'
  []
  [v]
    solver_sys = 'nl0'
  []
  [w]
    solver_sys = 'nl1'
  []
[]

[Kernels]
  [timeu]
    type = TimeDerivative
    variable = u
  []
  [timev]
    type = TimeDerivative
    variable = v
  []
  [timew]
    type = TimeDerivative
    variable = w
  []
  [diffu]
    type = Diffusion
    variable = u
  []
  [diffv]
    type = Diffusion
    variable = v
  []
  [diffw]
    type = Diffusion
    variable = w
  []
  [forceu]
    type = BodyForce
    variable = u
    function = force
  []
  [forcev]
    type = BodyForce
    variable = v
    function = force
  []
  [forcew]
    type = BodyForce
    variable = w
    function = force
  []
[]

[Functions]
  [exact]
    type = ParsedFunction
    expression = 't^3*x*y'
  []
  [force]
    type = ParsedFunction
    expression = '3*x*y*t^2'
  []
[]

[BCs]
  [allu]
    type = FunctionDirichletBC
    variable = u
    function = exact
    boundary = 'left right top bottom'
  []
  [allv]
    type = FunctionDirichletBC
    variable = v
    function = exact
    boundary = 'left right top bottom'
  []
  [allw]
    type = FunctionDirichletBC
    variable = w
    function = exact
    boundary = 'left right top bottom'
  []
[]

[Executioner]
  type = Transient
  solve_type = 'NEWTON'
  petsc_options_iname = '-pc_type'
  petsc_options_value = 'hypre'
  dt = 1
  end_time = 3
  [TimeIntegrators]
    [cn]
      type = CrankNicolson
      variables = 'u'
    []
    [ie]
      type = ImplicitEuler
      variables = 'v'
    []
    [cn2]
      type = CrankNicolson
      variables = 'w'
    []
  []
[]

[Postprocessors]
  [L2u]
    type = ElementL2FunctorError
    exact = exact
    approximate = u
  []
  [L2v]
    type = ElementL2FunctorError
    exact = exact
    approximate = v
  []
  [L2w]
    type = ElementL2FunctorError
    exact = exact
    approximate = w
  []
[]

[Outputs]
  csv = true
[]

(modules/heat_transfer/test/tests/gap_heat_transfer_htonly/gap_heat_transfer_htonly_it_plot_test.i)

#
# 1-D Gap Heat Transfer Test without mechanics
#
# This test exercises 1-D gap heat transfer for a constant conductivity gap.
#
# The mesh consists of two element blocks containing one element each.  Each
#   element is a unit cube.  They sit next to one another with a unit between them.
#
# The conductivity of both blocks is set very large to achieve a uniform temperature
#  across each block. The temperature of the far left boundary
#  is ramped from 100 to 200 over one time unit, and then held fixed for an additional
#  time unit.  The temperature of the far right boundary is held fixed at 100.
#
# A simple analytical solution is possible for the heat flux between the blocks:
#
#  Flux = (T_left - T_right) * (gapK/gap_width)
#
# The gap conductivity is specified as 1, thus
#
#  gapK(Tavg) = 1.0*Tavg
#
#
# The heat flux across the gap at time = 2 is then:
#
#  Flux(2) = 100 * (1.0/1.0) = 100
#
# For comparison, see results from the flux post processors
#


[Mesh]
  file = gap_heat_transfer_htonly_test.e
[]

[Functions]

  [./temp]
    type = PiecewiseLinear
    x = '0   1   2'
    y = '100 200 200'
  [../]
[]

[ThermalContact]
  [./thermal_contact]
    type = GapHeatTransfer
    variable = temp
    primary = 3
    secondary = 2
    emissivity_primary = 0
    emissivity_secondary = 0
  [../]
[]

[Variables]
  [./temp]
    order = FIRST
    family = LAGRANGE
    initial_condition = 100
  [../]
[]

[Kernels]
  [./heat]
    type = HeatConduction
    variable = temp
  [../]
[]


[BCs]
  [./temp_far_left]
    type = FunctionDirichletBC
    boundary = 1
    variable = temp
    function = temp
  [../]

  [./temp_far_right]
    type = DirichletBC
    boundary = 4
    variable = temp
    value = 100
  [../]
[]

[Materials]

  [./heat1]
    type = HeatConductionMaterial
    block = '1 2'
    specific_heat = 1.0
    thermal_conductivity = 100000000.0
  [../]

  [./density]
    type = GenericConstantMaterial
    block = '1 2'
    prop_names = 'density'
    prop_values = '1.0'
  [../]
[]

[Executioner]
  type = Transient

  #Preconditioned JFNK (default)
  solve_type = 'PJFNK'




  petsc_options_iname = '-ksp_gmres_restart -pc_type -pc_hypre_type -pc_hypre_boomeramg_max_iter'
  petsc_options_value = '201                hypre    boomeramg      4'


  line_search = 'none'


  nl_abs_tol = 1e-5
  nl_rel_tol = 1e-12

  l_tol = 1e-10
  l_max_its = 100

  start_time = 0.0
  dt = 1e-1
  end_time = 2.0
[]

[Postprocessors]

  [./temp_left]
    type = SideAverageValue
    boundary = 2
    variable = temp
  [../]

  [./temp_right]
    type = SideAverageValue
    boundary = 3
    variable = temp
  [../]

  [./flux_left]
    type = SideDiffusiveFluxIntegral
    variable = temp
    boundary = 2
    diffusivity = thermal_conductivity
  [../]

  [./flux_right]
    type = SideDiffusiveFluxIntegral
    variable = temp
    boundary = 3
    diffusivity = thermal_conductivity
  [../]
[]


[Outputs]
  file_base = out_it_plot
  [./exodus]
    type = Exodus
    execute_on = 'initial timestep_end nonlinear'
    nonlinear_residual_dt_divisor = 100
  [../]
[]

(modules/solid_mechanics/test/tests/stress_recovery/patch/patch_finite_stress.i)

[GlobalParams]
  displacements = 'disp_x disp_y'
[]

[Mesh]
  type = GeneratedMesh
  dim = 2
  nx = 2
  ny = 2
  elem_type = QUAD4
[]

[Variables]
  [disp_x]
    order = FIRST
    family = LAGRANGE
  []
  [disp_y]
    order = FIRST
    family = LAGRANGE
  []
[]

[AuxVariables]
  [stress_xx]
    order = FIRST
    family = MONOMIAL
  []
  [stress_yy]
    order = FIRST
    family = MONOMIAL
  []
  [stress_xx_recovered]
    order = FIRST
    family = LAGRANGE
  []
  [stress_yy_recovered]
    order = FIRST
    family = LAGRANGE
  []
[]

[AuxKernels]
  [stress_xx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xx
    index_i = 0
    index_j = 0
    execute_on = 'timestep_end'
  []
  [stress_yy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yy
    index_i = 1
    index_j = 1
    execute_on = 'timestep_end'
  []
  [stress_xx_recovered]
    type = NodalPatchRecoveryAux
    variable = stress_xx_recovered
    nodal_patch_recovery_uo = stress_xx_patch
    execute_on = 'TIMESTEP_END'
  []
  [stress_yy_recovered]
    type = NodalPatchRecoveryAux
    variable = stress_yy_recovered
    nodal_patch_recovery_uo = stress_yy_patch
    execute_on = 'TIMESTEP_END'
  []
[]

[Kernels]
  [solid_x]
    type = StressDivergenceTensors
    variable = disp_x
    component = 0
  []
  [solid_y]
    type = StressDivergenceTensors
    variable = disp_y
    component = 1
  []
[]

[Materials]
  [strain]
    type = ComputeFiniteStrain
  []
  [Cijkl]
    type = ComputeIsotropicElasticityTensor
    poissons_ratio = 0.3
    youngs_modulus = 2.1e+5
  []
  [stress]
    type = ComputeFiniteStrainElasticStress
  []
[]

[BCs]
  [top_xdisp]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'top'
    function = 0
  []
  [top_ydisp]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'top'
    function = t
  []
  [bottom_xdisp]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'bottom'
    function = 0
  []
  [bottom_ydisp]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'bottom'
    function = 0
  []
[]

[UserObjects]
  [stress_xx_patch]
    type = NodalPatchRecoveryMaterialProperty
    patch_polynomial_order = FIRST
    property = 'stress'
    component = '0 0'
    execute_on = 'TIMESTEP_END'
  []
  [stress_yy_patch]
    type = NodalPatchRecoveryMaterialProperty
    patch_polynomial_order = FIRST
    property = 'stress'
    component = '1 1'
    execute_on = 'TIMESTEP_END'
  []
[]

[Preconditioning]
  [smp]
    type = SMP
    full = true
    ksp_norm = default
  []
[]

[Executioner]
  type = Transient
  solve_type = NEWTON
  petsc_options_iname = '-ksp_type -pc_type'
  petsc_options_value = 'preonly   lu'
  nl_abs_tol = 1e-8
  nl_rel_tol = 1e-8
  l_max_its = 100
  nl_max_its = 30
  dt = 0.01
  dtmin = 1e-11
  start_time = 0
  end_time = 0.05
[]

[Outputs]
  exodus = true
  print_linear_residuals = false
[]

(modules/solid_mechanics/test/tests/multi/three_surface07.i)

# Plasticit models:
# SimpleTester0 with a = 0 and b = 1 and strength = 1
# SimpleTester1 with a = 1 and b = 0 and strength = 1
# SimpleTester2 with a = 1 and b = 1 and strength = 1.5
#
# Lame lambda = 0 (Poisson=0).  Lame mu = 0.5E6
#
# A single element is stretched by 1.5E-6m in y direction and 0.8E-6 in z direction.
# trial stress_yy = 1.5 and stress_zz = 0.8
#
# Then SimpleTester1 and SimpleTester2 should activate and the algorithm will return to
# the corner stress_yy=1.0, stress_zz=0.5
# internal1 should be 0.2, and internal2 should be 0.3

[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]


[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
[]

[Kernels]
  [SolidMechanics]
    displacements = 'disp_x disp_y disp_z'
  [../]
[]


[BCs]
  [./x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'front back'
    function = '0E-6*x'
  [../]
  [./y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'front back'
    function = '1.5E-6*y'
  [../]
  [./z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'front back'
    function = '0.8E-6*z'
  [../]
[]

[AuxVariables]
  [./stress_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f0]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f1]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f2]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./int0]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./int1]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./int2]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]

[AuxKernels]
  [./stress_xx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xx
    index_i = 0
    index_j = 0
  [../]
  [./stress_xy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xy
    index_i = 0
    index_j = 1
  [../]
  [./stress_xz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xz
    index_i = 0
    index_j = 2
  [../]
  [./stress_yy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yy
    index_i = 1
    index_j = 1
  [../]
  [./stress_yz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yz
    index_i = 1
    index_j = 2
  [../]
  [./stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zz
    index_i = 2
    index_j = 2
  [../]
  [./f0]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 0
    variable = f0
  [../]
  [./f1]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 1
    variable = f1
  [../]
  [./f2]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 2
    variable = f2
  [../]
  [./int0]
    type = MaterialStdVectorAux
    property = plastic_internal_parameter
    factor = 1E6
    index = 0
    variable = int0
  [../]
  [./int1]
    type = MaterialStdVectorAux
    property = plastic_internal_parameter
    factor = 1E6
    index = 1
    variable = int1
  [../]
  [./int2]
    type = MaterialStdVectorAux
    property = plastic_internal_parameter
    factor = 1E6
    index = 2
    variable = int2
  [../]
[]

[Postprocessors]
  [./s_xx]
    type = PointValue
    point = '0 0 0'
    variable = stress_xx
  [../]
  [./s_xy]
    type = PointValue
    point = '0 0 0'
    variable = stress_xy
  [../]
  [./s_xz]
    type = PointValue
    point = '0 0 0'
    variable = stress_xz
  [../]
  [./s_yy]
    type = PointValue
    point = '0 0 0'
    variable = stress_yy
  [../]
  [./s_yz]
    type = PointValue
    point = '0 0 0'
    variable = stress_yz
  [../]
  [./s_zz]
    type = PointValue
    point = '0 0 0'
    variable = stress_zz
  [../]
  [./f0]
    type = PointValue
    point = '0 0 0'
    variable = f0
  [../]
  [./f1]
    type = PointValue
    point = '0 0 0'
    variable = f1
  [../]
  [./f2]
    type = PointValue
    point = '0 0 0'
    variable = f2
  [../]
  [./int0]
    type = PointValue
    point = '0 0 0'
    variable = int0
  [../]
  [./int1]
    type = PointValue
    point = '0 0 0'
    variable = int1
  [../]
  [./int2]
    type = PointValue
    point = '0 0 0'
    variable = int2
  [../]
[]

[UserObjects]
  [./simple0]
    type = SolidMechanicsPlasticSimpleTester
    a = 0
    b = 1
    strength = 1
    yield_function_tolerance = 1.0E-9
    internal_constraint_tolerance = 1.0E-9
  [../]
  [./simple1]
    type = SolidMechanicsPlasticSimpleTester
    a = 1
    b = 0
    strength = 1
    yield_function_tolerance = 1.0E-9
    internal_constraint_tolerance = 1.0E-9
  [../]
  [./simple2]
    type = SolidMechanicsPlasticSimpleTester
    a = 1
    b = 1
    strength = 1.5
    yield_function_tolerance = 1.0E-9
    internal_constraint_tolerance = 1.0E-9
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    block = 0
    fill_method = symmetric_isotropic
    C_ijkl = '0 0.5E6'
  [../]
  [./strain]
    type = ComputeFiniteStrain
    block = 0
    displacements = 'disp_x disp_y disp_z'
  [../]
  [./multi]
    type = ComputeMultiPlasticityStress
    block = 0
    ep_plastic_tolerance = 1E-9
    plastic_models = 'simple0 simple1 simple2'
    max_NR_iterations = 2
    min_stepsize = 1
    debug_fspb = crash
    debug_jac_at_stress = '10 0 0 0 10 0 0 0 10'
    debug_jac_at_pm = '1 1'
    debug_jac_at_intnl = '1 1'
    debug_stress_change = 1E-5
    debug_pm_change = '1E-6 1E-6'
    debug_intnl_change = '1E-6 1E-6'
  [../]
[]


[Executioner]
  end_time = 1
  dt = 1
  type = Transient
[]


[Outputs]
  file_base = three_surface07
  exodus = false
  [./csv]
    type = CSV
    [../]
[]

(test/tests/predictors/simple/predictor_skip_old_test.i)

# The purpose of this test is to test the simple predictor.  This is a very
# small, monotonically loaded block of material.  If things are working right,
# the predictor should come very close to exactly nailing the solution on steps
# after the first step.

#This test checks to see that the predictor is skipped in the last step.

[Mesh]
  type = GeneratedMesh
  dim = 2
  xmin = 0
  xmax = 1
  ymin = 0
  ymax = 1
  nx = 3
  ny = 3
[]

[Functions]
  [ramp1]
    type = ParsedFunction
    expression = 't'
  []
[]

[Variables]
  [u]
    order = FIRST
    family = LAGRANGE
  []
[]

[Kernels]
  [diff_u]
    type = Diffusion
    variable = u
  []
[]

[BCs]
  [bot]
    type = DirichletBC
    variable = u
    boundary = bottom
    value = 0.0
  []
  [ss2_x]
    type = FunctionDirichletBC
    variable = u
    boundary = top
    function = ramp1
  []
[]

[Executioner]
  type = Transient
  solve_type = 'PJFNK'

  nl_max_its = 15
  nl_rel_tol = 1e-14
  nl_abs_tol = 1e-14

  start_time = 0.0
  dt = 0.5
  end_time = 1.5

  [Predictor]
    type = SimplePredictor
    scale = 1.0
    skip_times_old = '1.0'
  []
[]

[Postprocessors]
  [final_residual]
    type = Residual
    residual_type = FINAL
  []
  [initial_residual]
    type = Residual
    residual_type = INITIAL
  []
[]

[Outputs]
  csv = true
[]

(modules/navier_stokes/test/tests/finite_element/ins/stagnation/stagnation.i)

[GlobalParams]
  gravity = '0 0 0'
[]

[Mesh]
  type = GeneratedMesh
  dim = 2
  xmin = 0
  xmax = 2.0
  ymin = 0
  ymax = 2.0
  nx = 20
  ny = 20
  elem_type = QUAD9
[]

[Preconditioning]
  [./SMP]
    type = SMP
    full = true
    solve_type = Newton
  [../]
[]

[Executioner]
  type = Transient
  dt = 1.0
  dtmin = 1.e-6
  num_steps = 5
  l_max_its = 100
  nl_max_its = 15
  nl_rel_tol = 1.e-9

  petsc_options_iname = '-pc_type -pc_asm_overlap -sub_pc_type -sub_pc_factor_shift_type -ksp_gmres_restart'
  petsc_options_value = 'asm      2               lu           NONZERO                   1000'
  line_search = none
[]

[Variables]
  [./vel_x]
    family = LAGRANGE
    order = SECOND
  [../]
  [./vel_y]
    family = LAGRANGE
    order = SECOND
  [../]
  [./p]
    family = LAGRANGE
    order = FIRST
  [../]
[]

[BCs]
  [./u_in]
    type = FunctionDirichletBC
    boundary = 'top'
    variable = vel_x
    function = vel_x_inlet
  [../]
  [./v_in]
    type = FunctionDirichletBC
    boundary = 'top'
    variable = vel_y
    function = vel_y_inlet
  [../]
  [./vel_x_no_slip]
    type = DirichletBC
    boundary = 'left bottom'
    variable = vel_x
    value = 0
  [../]
  [./vel_y_no_slip]
    type = DirichletBC
    boundary = 'bottom'
    variable = vel_y
    value = 0
  [../]
  # Note: setting INSMomentumNoBCBC on the outlet boundary causes the
  # matrix to be singular.  The natural BC, on the other hand, is
  # sufficient to specify the value of the pressure without requiring
  # a pressure pin.
[]

[Functions]
  [./vel_x_inlet]
    type = ParsedFunction
    expression = 'k*x'
    symbol_names = 'k'
    symbol_values = '1'
  [../]
  [./vel_y_inlet]
    type = ParsedFunction
    expression = '-k*y'
    symbol_names = 'k'
    symbol_values = '1'
  [../]
[]


[Kernels]
  [./x_momentum_time]
    type = INSMomentumTimeDerivative
    variable = vel_x
  [../]
  [./y_momentum_time]
    type = INSMomentumTimeDerivative
    variable = vel_y
  [../]
  [./mass]
    type = INSMass
    variable = p
    u = vel_x
    v = vel_y
    pressure = p
  [../]
  [./x_momentum_space]
    type = INSMomentumLaplaceForm
    variable = vel_x
    u = vel_x
    v = vel_y
    pressure = p
    component = 0
  [../]
  [./y_momentum_space]
    type = INSMomentumLaplaceForm
    variable = vel_y
    u = vel_x
    v = vel_y
    pressure = p
    component = 1
  [../]
[]

[Materials]
  [./const]
    type = GenericConstantMaterial
    block = 0
    prop_names = 'rho mu'
    prop_values = '1 .01389' # 2/144
  [../]
[]

[Outputs]
  exodus = true
  [./out]
    type = CSV
    execute_on = 'final'
  [../]
[]

[VectorPostprocessors]
  [./nodal_sample]
    # Pick off the wall pressure values.
    type = NodalValueSampler
    variable = p
    boundary = 'bottom'
    sort_by = x
  [../]
[]

(modules/heat_transfer/tutorials/introduction/therm_step03a.i)

#
# Single block thermal input with time derivative and volumetric heat source terms
# https://mooseframework.inl.gov/modules/heat_transfer/tutorials/introduction/therm_step03.html
#

[Mesh]
  [generated]
    type = GeneratedMeshGenerator
    dim = 2
    nx = 10
    ny = 10
    xmax = 2
    ymax = 1
  []
[]

[Variables]
  [T]
    initial_condition = 300.0
  []
[]

[Kernels]
  [heat_conduction]
    type = HeatConduction
    variable = T
  []
  [time_derivative]
    type = HeatConductionTimeDerivative
    variable = T
  []
  [heat_source]
    type = HeatSource
    variable = T
    value = 1e4
  []
[]

[Materials]
  [thermal]
    type = HeatConductionMaterial
    thermal_conductivity = 45.0
    specific_heat = 0.5
  []
  [density]
    type = GenericConstantMaterial
    prop_names = 'density'
    prop_values = 8000.0
  []
[]

[BCs]
  [t_left]
    type = DirichletBC
    variable = T
    value = 300
    boundary = 'left'
  []
  [t_right]
    type = FunctionDirichletBC
    variable = T
    function = '300+5*t'
    boundary = 'right'
  []
[]

[Executioner]
  type = Transient
  end_time = 5
  dt = 1
[]

[VectorPostprocessors]
  [t_sampler]
    type = LineValueSampler
    variable = T
    start_point = '0 0.5 0'
    end_point = '2 0.5 0'
    num_points = 20
    sort_by = x
  []
[]

[Outputs]
  exodus = true
  [csv]
    type = CSV
    file_base = therm_step03a_out
    execute_on = final
  []
[]

(modules/xfem/test/tests/solid_mechanics_basic/square_branch_quad_2d.i)

[GlobalParams]
  displacements = 'disp_x disp_y'
  volumetric_locking_correction = true
[]

[XFEM]
  qrule = volfrac
  output_cut_plane = true
[]

[Mesh]
  type = GeneratedMesh
  dim = 2
  nx = 10
  ny = 10
  xmin = 0.0
  xmax = 1.0
  ymin = 0.0
  ymax = 1.0
  elem_type = QUAD4
[]

[UserObjects]
  [./line_seg_cut_uo0]
    type = LineSegmentCutUserObject
    cut_data = '-1.0000e-10   6.6340e-01   6.6340e-01  -1.0000e-10'
    time_start_cut = 0.0
    time_end_cut = 1.0
  [../]
  [./line_seg_cut_uo1]
    type = LineSegmentCutUserObject
    cut_data = '3.3120e-01   3.3200e-01   1.0001e+00   3.3200e-01'
    time_start_cut = 1.0
    time_end_cut = 2.0
  [../]
[]

[Physics/SolidMechanics/QuasiStatic]
  [./all]
    strain = SMALL
    planar_formulation = PLANE_STRAIN
    add_variables = true
  [../]
[]

[Functions]
  [./right_disp_x]
    type = PiecewiseLinear
    x = '0  1.0    2.0   3.0'
    y = '0  0.005  0.01  0.01'
  [../]
  [./top_disp_y]
    type = PiecewiseLinear
    x = '0  1.0    2.0   3.0'
    y = '0  0.005  0.01  0.01'
  [../]
[]

[BCs]
  [./right_x]
    type = FunctionDirichletBC
    boundary = 1
    variable = disp_x
    function = right_disp_x
  [../]
  [./top_y]
    type = FunctionDirichletBC
    boundary = 2
    variable = disp_y
    function = top_disp_y
  [../]
  [./bottom_y]
    type = DirichletBC
    boundary = 0
    variable = disp_y
    value = 0.0
  [../]
  [./left_x]
    type = DirichletBC
    boundary = 3
    variable = disp_x
    value = 0.0
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeIsotropicElasticityTensor
    youngs_modulus = 1e6
    poissons_ratio = 0.3
  [../]
  [./stress]
    type = ComputeLinearElasticStress
  [../]
[]

[Executioner]
  type = Transient

  solve_type = 'PJFNK'
  petsc_options_iname = '-ksp_gmres_restart -pc_type -pc_hypre_type -pc_hypre_boomeramg_max_iter'
  petsc_options_value = '201                hypre    boomeramg      8'

  line_search = 'none'

  [./Predictor]
    type = SimplePredictor
    scale = 1.0
  [../]

# controls for linear iterations
  l_max_its = 100
  l_tol = 1e-2

# controls for nonlinear iterations
  nl_max_its = 15
  nl_rel_tol = 1e-16
  nl_abs_tol = 1e-10

# time control
  start_time = 0.0
  dt = 1.0
  end_time = 2.2
  num_steps = 5000
[]

[Outputs]
  file_base = square_branch_quad_2d_out
  exodus = true
  [./console]
    type = Console
    output_linear = true
  [../]
[]

(modules/porous_flow/test/tests/actions/block_restricted.i)

PorousFlowDictatorName = 'dictator'

[GlobalParams]
  time_unit = days
  displacements = 'disp_x disp_y disp_z'
  use_displaced_mesh = false
[]

[Problem]
  kernel_coverage_check = false
  material_coverage_check = false
[]

[Mesh]
  active_block_names = 'BaseMesh Box1'
  [BaseMesh]
    type = GeneratedMeshGenerator
    subdomain_name = 'BaseMesh'
    elem_type = "TET10"
    dim = 3
    nx = 6
    ny = 6
    nz = 2
    xmin = -10
    xmax = +10
    ymin = -10
    ymax = +10
    zmin = -2
    zmax = +2
  []
  [Box1]
    type = SubdomainBoundingBoxGenerator
    input = "BaseMesh"
    block_id = 1
    block_name = "Box1"
    location = "INSIDE"
    bottom_left = "-3.3 -3.3 +2"
    top_right = "+3.3 +3.3 0"
  []
  [Box1Boundary]
    type = SideSetsBetweenSubdomainsGenerator
    input = Box1
    primary_block = 'BaseMesh'
    paired_block = 'Box1'
    new_boundary = 'Box1Boundary'
  []
[]

[Physics]
  [SolidMechanics]
    [QuasiStatic]
      [all]
        strain = SMALL
        incremental = true
        block = ${Mesh/active_block_names}
      []
    []
  []
[]

[AuxVariables]
  [stress_xx]
    order = CONSTANT
    family = MONOMIAL
    block = 'BaseMesh'
  []
  [stress_yy]
    order = CONSTANT
    family = MONOMIAL
    block = 'BaseMesh'
  []
  [stress_zz]
    order = CONSTANT
    family = MONOMIAL
    block = 'BaseMesh'
  []
[]

[PorousFlowFullySaturated]
  coupling_type = HydroMechanical
  porepressure = porepressure
  biot_coefficient = 1
  fp = simple_fluid
  stabilization = FULL
  gravity = '0 0 0'
  add_darcy_aux = false
  dictator_name = ${PorousFlowDictatorName}
  block = 'BaseMesh'
[]

[Variables]
  [disp_x]
  []
  [disp_y]
  []
  [disp_z]
  []
  [porepressure]
    order = SECOND
    family = LAGRANGE
    scaling = 1e-5
    block = 'BaseMesh'
  []
[]

[ICs]
  [porepressure]
    type = FunctionIC
    variable = porepressure
    function = '2'
    block = 'BaseMesh'
  []
[]

[BCs]

  [fix_x]
    type = DirichletBC
    variable = disp_x
    boundary = 'left right'
    value = 0.0
  []

  [fix_y]
    type = DirichletBC
    variable = disp_y
    boundary = 'bottom top'
    value = 0.0
  []

  [fix_z]
    type = DirichletBC
    variable = disp_z
    boundary = 'back'
    value = 0.0
  []

  [porepressure_fix]
    type = DirichletBC
    variable = porepressure
    boundary = 'left right bottom top'
    value = 2.0
  []

  [porepressure_Box1Boundary]
    type = FunctionDirichletBC
    variable = porepressure
    boundary = 'Box1Boundary'
    function = porepressure_at_Box1Boundary
  []
[]

[Functions]
  [porepressure_at_Box1Boundary]
    type = ParsedFunction
    expression = '2 + max(0, min(1, t-0.25))'
  []
[]

[FluidProperties]
  [simple_fluid]
    type = SimpleFluidProperties
    bulk_modulus = 2E3
    density0 = 1000
    thermal_expansion = 0
    viscosity = 9.0E-10
  []
[]

[Materials]

  [porosity_bulk]
    type = PorousFlowPorosityConst
    block = ${Mesh/active_block_names}
    porosity = 0.15
    PorousFlowDictator = ${PorousFlowDictatorName}
  []

  [undrained_density_0]
    type = GenericConstantMaterial
    block = ${Mesh/active_block_names}
    prop_names = density
    prop_values = 2500
  []

  [BaseMesh_permeability_bulk]
    type = PorousFlowPermeabilityConst
    block = 'BaseMesh'
    permeability = '1e-5 0 0 0 1e-5 0 0 0 1e-5'
    PorousFlowDictator = ${PorousFlowDictatorName}
  []

  [BaseMesh_elasticity_tensor]
    type = ComputeIsotropicElasticityTensor
    block = 'BaseMesh'
    youngs_modulus = 2500
    poissons_ratio = 0.15
  []

  [Box1_permeability_bulk]
    type = PorousFlowPermeabilityConst
    block = 'Box1'
    permeability = '1e-5 0 0 0 1e-5 0 0 0 1e-5'
    PorousFlowDictator = ${PorousFlowDictatorName}
  []

  [Box1_elasticity_tensor]
    type = ComputeIsotropicElasticityTensor
    block = 'Box1'
    youngs_modulus = 2500
    poissons_ratio = 0.15
  []

  [stress]
    type = ComputeMultipleInelasticStress
    inelastic_models = ''
    perform_finite_strain_rotations = false
    tangent_operator = 'nonlinear'
    block = ${Mesh/active_block_names}
  []
[]

[Preconditioning]
  [.\SMP]
    type = SMP
    full = true
  []
[]

[Executioner]
  type = Transient
  solve_type = PJFNK

  petsc_options = '-snes_converged_reason'

  # best overall
  petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
  petsc_options_value = ' lu       mumps'

  line_search = none

  nl_abs_tol = 1e-4
  nl_rel_tol = 1e-6

  l_max_its = 20
  nl_max_its = 8

  start_time = 0.0
  end_time = 0.5
  [TimeSteppers]
    [ConstantDT1]
      type = ConstantDT
      dt = 0.25
    []
  []

  [Quadrature]
    type = SIMPSON
    order = SECOND
  []
[]

[Outputs]
  perf_graph = true
  exodus = true
[]

(test/tests/geomsearch/2d_moving_penetration/pl_test4tt.i)

[GlobalParams]
  order = FIRST
  family = LAGRANGE
[]

[Mesh]
  file = pl_test4.e
  displacements = 'disp_x disp_y'
[]

[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
[]

[AuxVariables]
  [./distance]
  [../]
  [./tangential_distance]
  [../]
  [./normal_x]
  [../]
  [./normal_y]
  [../]
  [./closest_point_x]
  [../]
  [./closest_point_y]
  [../]
  [./element_id]
  [../]
  [./side]
  [../]
[]

[Kernels]
  [./diff_x]
    type = Diffusion
    variable = disp_x
  [../]
  [./diff_y]
    type = Diffusion
    variable = disp_y
  [../]
[]

[AuxKernels]
  [./penetrate]
    type = PenetrationAux
    variable = distance
    boundary = 11            #secondary
    paired_boundary = 12     #primary
    tangential_tolerance = 0.1
  [../]

  [./penetrate2]
    type = PenetrationAux
    variable = distance
    boundary = 12            #secondary
    paired_boundary = 11     #primary
    tangential_tolerance = 0.1
  [../]

  [./penetrate3]
    type = PenetrationAux
    variable = tangential_distance
    boundary = 11
    paired_boundary = 12
    quantity = tangential_distance
  [../]

  [./penetrate4]
    type = PenetrationAux
    variable = tangential_distance
    boundary = 12
    paired_boundary = 11
    quantity = tangential_distance
  [../]

  [./penetrate5]
    type = PenetrationAux
    variable = normal_x
    boundary = 11
    paired_boundary = 12
    quantity = normal_x
  [../]

  [./penetrate6]
    type = PenetrationAux
    variable = normal_x
    boundary = 12
    paired_boundary = 11
    quantity = normal_x
  [../]

  [./penetrate7]
    type = PenetrationAux
    variable = normal_y
    boundary = 11
    paired_boundary = 12
    quantity = normal_y
  [../]

  [./penetrate8]
    type = PenetrationAux
    variable = normal_y
    boundary = 12
    paired_boundary = 11
    quantity = normal_y
  [../]

  [./penetrate9]
    type = PenetrationAux
    variable = closest_point_x
    boundary = 11
    paired_boundary = 12
    quantity = closest_point_x
  [../]

  [./penetrate10]
    type = PenetrationAux
    variable = closest_point_x
    boundary = 12
    paired_boundary = 11
    quantity = closest_point_x
  [../]

  [./penetrate11]
    type = PenetrationAux
    variable = closest_point_y
    boundary = 11
    paired_boundary = 12
    quantity = closest_point_y
  [../]

  [./penetrate12]
    type = PenetrationAux
    variable = closest_point_y
    boundary = 12
    paired_boundary = 11
    quantity = closest_point_y
  [../]

  [./penetrate13]
    type = PenetrationAux
    variable = element_id
    boundary = 11
    paired_boundary = 12
    quantity = element_id
  [../]

  [./penetrate14]
    type = PenetrationAux
    variable = element_id
    boundary = 12
    paired_boundary = 11
    quantity = element_id
  [../]

  [./penetrate15]
    type = PenetrationAux
    variable = side
    boundary = 11
    paired_boundary = 12
    quantity = side
  [../]

  [./penetrate16]
    type = PenetrationAux
    variable = side
    boundary = 12
    paired_boundary = 11
    quantity = side
  [../]
[]

[BCs]
  [./b1x]
    type = DirichletBC
    variable = disp_x
    boundary = 1
    value = 0
  [../]

  [./b1y]
    type = DirichletBC
    variable = disp_y
    boundary = 1
    value = 0
  [../]

  [./b2x]
    type = DirichletBC
    variable = disp_x
    boundary = 2
    value = 0
  [../]

  [./b2y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 2
    function = disp_y
  [../]
[]

[Functions]
  [./disp_y]
    type = PiecewiseLinear
    x = '0.0 0.25 0.75 1.0'
    y = '0.0 2.0 -2.0  0.0'
  [../]
[]

[Executioner]
  type = Transient

  solve_type = 'PJFNK'
  petsc_options = '-snes_ksp_ew'

  nl_rel_tol = 1e-10
  l_max_its = 10

  start_time = 0.0
  dt = 0.0125
  end_time = 1.0
[]

[Outputs]
  file_base = pl_test4tt_out
  exodus = true
[]

(modules/solid_mechanics/test/tests/finite_strain_tensor_mechanics_tests/finite_strain_patch.i)

# Patch Test
# This test is designed to compute constant xx, yy, zz, xy, yz, and zx
# stress on a set of irregular hexes.  The mesh is composed of one
# block with seven elements.  The elements form a unit cube with one
# internal element.  There is a nodeset for each exterior node.
# The cube is displaced by 1e-6 units in x, 2e-6 in y, and 3e-6 in z.
# The faces are sheared as well (1e-6, 2e-6, and 3e-6 for xy, yz, and
# zx).  This gives a uniform strain/stress state for all six unique
# tensor components.
# With Young's modulus at 1e6 and Poisson's ratio at 0, the shear
# modulus is 5e5 (G=E/2/(1+nu)).  Therefore,
#
# stress xx = 1e6 * 1e-6 = 1
# stress yy = 1e6 * 2e-6 = 2
# stress zz = 1e6 * 3e-6 = 3
# stress xy = 2 * 5e5 * 1e-6 / 2 = 0.5
# (2 * G   * gamma_xy / 2 = 2 * G * epsilon_xy)
# stress yz = 2 * 5e5 * 2e-6 / 2 = 1
# stress zx = 2 * 5e5 * 3e-6 / 2 = 1.5

[Mesh]
  # Comment
  # Mesh
  file = patch_mesh.e
[]

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]

[Functions]
  # Functions
  [./rampConstant1]
    type = PiecewiseLinear
    x = '0. 1. 2.'
    y = '0. 1. 1.'
    scale_factor = 1e-6
  [../]
  [./rampConstant2]
    type = PiecewiseLinear
    x = '0. 1. 2.'
    y = '0. 1. 1.'
    scale_factor = 2e-6
  [../]
  [./rampConstant3]
    type = PiecewiseLinear
    x = '0. 1. 2.'
    y = '0. 1. 1.'
    scale_factor = 3e-6
  [../]
  [./rampConstant4]
    type = PiecewiseLinear
    x = '0. 1. 2.'
    y = '0. 1. 1.'
    scale_factor = 4e-6
  [../]
  [./rampConstant6]
    type = PiecewiseLinear
    x = '0. 1. 2.'
    y = '0. 1. 1.'
    scale_factor = 6e-6
  [../]
[]

[Variables]
  # Variables
  [./disp_x]
    order = FIRST
    family = LAGRANGE
  [../]
  [./disp_y]
    order = FIRST
    family = LAGRANGE
  [../]
  [./disp_z]
    order = FIRST
    family = LAGRANGE
  [../]
[]

[AuxVariables]
  # AuxVariables
  [./stress_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_zx]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]

[Kernels]
  [SolidMechanics]
    use_displaced_mesh = true
  [../]
[]

[AuxKernels]
  # AuxKernels
  [./stress_xx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xx
    index_i = 0
    index_j = 0
  [../]
  [./stress_yy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yy
    index_i = 1
    index_j = 1
  [../]
  [./stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zz
    index_i = 2
    index_j = 2
  [../]
  [./stress_xy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xy
    index_i = 0
    index_j = 1
  [../]
  [./stress_yz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yz
    index_i = 1
    index_j = 2
  [../]
  [./stress_zx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zx
    index_i = 2
    index_j = 0
  [../]
[]

[BCs]
  # BCs
  [./node1_x]
    type = DirichletBC
    variable = disp_x
    boundary = 1
    value = 0.0
  [../]
  [./node1_y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 1
    function = rampConstant2
  [../]
  [./node1_z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 1
    function = rampConstant3
  [../]
  [./node2_x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 2
    function = rampConstant1
  [../]
  [./node2_y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 2
    function = rampConstant2
  [../]
  [./node2_z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 2
    function = rampConstant6
  [../]
  [./node3_x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 3
    function = rampConstant1
  [../]
  [./node3_y]
    type = DirichletBC
    variable = disp_y
    boundary = 3
    value = 0.0
  [../]
  [./node3_z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 3
    function = rampConstant3
  [../]
  [./node4_x]
    type = DirichletBC
    variable = disp_x
    boundary = 4
    value = 0.0
  [../]
  [./node4_y]
    type = DirichletBC
    variable = disp_y
    boundary = 4
    value = 0.0
  [../]
  [./node4_z]
    type = DirichletBC
    variable = disp_z
    boundary = 4
    value = 0.0
  [../]
  [./node5_x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 5
    function = rampConstant1
  [../]
  [./node5_y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 5
    function = rampConstant4
  [../]
  [./node5_z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 5
    function = rampConstant3
  [../]
  [./node6_x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 6
    function = rampConstant2
  [../]
  [./node6_y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 6
    function = rampConstant4
  [../]
  [./node6_z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 6
    function = rampConstant6
  [../]
  [./node7_x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 7
    function = rampConstant2
  [../]
  [./node7_y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 7
    function = rampConstant2
  [../]
  [./node7_z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 7
    function = rampConstant3
  [../]
  [./node8_x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 8
    function = rampConstant1
  [../]
  [./node8_y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 8
    function = rampConstant2
  [../]
  [./node8_z]
    type = DirichletBC
    variable = disp_z
    boundary = 8
    value = 0.0
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    block = '1 2 3 4 5 6 7'
    C_ijkl = '1.0e6  0.0   0.0 1.0e6  0.0  1.0e6 0.5e6 0.5e6 0.5e6'
    fill_method = symmetric9
  [../]
  [./strain]
    type = ComputeFiniteStrain
    block = '1 2 3 4 5 6 7'
    displacements = 'disp_x disp_y disp_z'
  [../]
  [./stress]
    type = ComputeFiniteStrainElasticStress
    block = '1 2 3 4 5 6 7'
  [../]
[]

[Preconditioning]
  [./SMP]
    type = SMP
    full = true
  [../]
[]

[Executioner]
  # Executioner
  type = Transient

  solve_type = 'NEWTON'


  nl_abs_tol = 1e-10
  l_max_its = 20
  start_time = 0.0
  dt = 1.0
  num_steps = 2
  petsc_options_iname = -pc_type
  petsc_options_value = lu
  end_time = 2.0
[]

[Outputs]
  exodus = true
[] # Output

(modules/combined/test/tests/phase_field_fracture/crack2d_aniso.i)

#This input uses PhaseField-Nonconserved Action to add phase field fracture bulk rate kernels
[Mesh]
  [gen]
    type = GeneratedMeshGenerator
    dim = 2
    nx = 40
    ny = 20
    ymax = 0.5
  []
  [./noncrack]
    type = BoundingBoxNodeSetGenerator
    new_boundary = noncrack
    bottom_left = '0.5 0 0'
    top_right = '1 0 0'
    input = gen
  [../]
[]

[GlobalParams]
  displacements = 'disp_x disp_y'
[]

[Physics]
  [./SolidMechanics]
    [./QuasiStatic]
      [./All]
        add_variables = true
        strain = SMALL
        additional_generate_output = 'strain_yy stress_yy'
        planar_formulation = PLANE_STRAIN
      [../]
    [../]
  [../]
[]
[Modules]
  [./PhaseField]
    [./Nonconserved]
      [./c]
        free_energy = F
        kappa = kappa_op
        mobility = L
      [../]
    [../]
  [../]
[]

[Kernels]
  [./solid_x]
    type = PhaseFieldFractureMechanicsOffDiag
    variable = disp_x
    component = 0
    c = c
  [../]
  [./solid_y]
    type = PhaseFieldFractureMechanicsOffDiag
    variable = disp_y
    component = 1
    c = c
  [../]
  [./off_disp]
    type = AllenCahnElasticEnergyOffDiag
    variable = c
    displacements = 'disp_x disp_y'
    mob_name = L
  [../]
[]

[BCs]
  [./ydisp]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = top
    function = 't'
  [../]
  [./yfix]
    type = DirichletBC
    variable = disp_y
    boundary = noncrack
    value = 0
  [../]
  [./xfix]
    type = DirichletBC
    variable = disp_x
    boundary = right
    value = 0
  [../]
[]

[Materials]
  [./pfbulkmat]
    type = GenericConstantMaterial
    prop_names = 'gc_prop l visco'
    prop_values = '1e-3 0.05 1e-6'
  [../]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    C_ijkl = '127.0 70.8 70.8 127.0 70.8 127.0 73.55 73.55 73.55'
    fill_method = symmetric9
    euler_angle_1 = 30
    euler_angle_2 = 0
    euler_angle_3 = 0
  [../]
  [./define_mobility]
    type = ParsedMaterial
    material_property_names = 'gc_prop visco'
    property_name = L
    expression = '1.0/(gc_prop * visco)'
  [../]
  [./define_kappa]
    type = ParsedMaterial
    material_property_names = 'gc_prop l'
    property_name = kappa_op
    expression = 'gc_prop * l'
  [../]
  [./damage_stress]
    type = ComputeLinearElasticPFFractureStress
    c = c
    E_name = 'elastic_energy'
    D_name = 'degradation'
    F_name = 'local_fracture_energy'
    decomposition_type = stress_spectral
    use_current_history_variable = true
  [../]
  [./degradation]
    type = DerivativeParsedMaterial
    property_name = degradation
    coupled_variables = 'c'
    expression = '(1.0-c)^2*(1.0 - eta) + eta'
    constant_names       = 'eta'
    constant_expressions = '1.0e-6'
    derivative_order = 2
  [../]
  [./local_fracture_energy]
    type = DerivativeParsedMaterial
    property_name = local_fracture_energy
    coupled_variables = 'c'
    material_property_names = 'gc_prop l'
    expression = 'c^2 * gc_prop / 2 / l'
    derivative_order = 2
  [../]
  [./fracture_driving_energy]
    type = DerivativeSumMaterial
    coupled_variables = c
    sum_materials = 'elastic_energy local_fracture_energy'
    derivative_order = 2
    property_name = F
  [../]
[]

[Postprocessors]
  [./av_stress_yy]
    type = ElementAverageValue
    variable = stress_yy
  [../]
  [./av_strain_yy]
    type = SideAverageValue
    variable = disp_y
    boundary = top
  [../]
[]

[Preconditioning]
  [./smp]
    type = SMP
    full = true
  [../]
[]

[Executioner]
  type = Transient

  solve_type = PJFNK
  petsc_options_iname = '-pc_type -pc_factor_mat_solving_package'
  petsc_options_value = 'lu superlu_dist'

  nl_rel_tol = 1e-8
  l_tol = 1e-4
  l_max_its = 100
  nl_max_its = 10

  dt = 5e-5
  num_steps = 2
[]

[Outputs]
  exodus = true
[]

(modules/solid_mechanics/test/tests/mohr_coulomb/small_deform3.i)

# apply repeated stretches in x z directions, and smaller stretches along the y direction,
# so that sigma_I = sigma_II,
# which means that lode angle = 30deg.
# The allows yield surface in meridional plane to be mapped out


[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]


[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
[]

[Kernels]
  [SolidMechanics]
    displacements = 'disp_x disp_y disp_z'
  [../]
[]


[BCs]
  [./x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'front back'
    function = '1E-6*x*t'
  [../]
  [./y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'front back'
    function = '0.25E-6*y*sin(t)'
  [../]
  [./z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'front back'
    function = '1E-6*z*t'
  [../]
[]

[AuxVariables]
  [./stress_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./mc_int]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./yield_fcn]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]

[AuxKernels]
  [./stress_xx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xx
    index_i = 0
    index_j = 0
  [../]
  [./stress_xy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xy
    index_i = 0
    index_j = 1
  [../]
  [./stress_xz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xz
    index_i = 0
    index_j = 2
  [../]
  [./stress_yy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yy
    index_i = 1
    index_j = 1
  [../]
  [./stress_yz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yz
    index_i = 1
    index_j = 2
  [../]
  [./stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zz
    index_i = 2
    index_j = 2
  [../]
  [./mc_int_auxk]
    type = MaterialStdVectorAux
    index = 0
    property = plastic_internal_parameter
    variable = mc_int
  [../]
  [./yield_fcn_auxk]
    type = MaterialStdVectorAux
    index = 0
    property = plastic_yield_function
    variable = yield_fcn
  [../]
[]

[Postprocessors]
  [./s_xx]
    type = PointValue
    point = '0 0 0'
    variable = stress_xx
  [../]
  [./s_xy]
    type = PointValue
    point = '0 0 0'
    variable = stress_xy
  [../]
  [./s_xz]
    type = PointValue
    point = '0 0 0'
    variable = stress_xz
  [../]
  [./s_yy]
    type = PointValue
    point = '0 0 0'
    variable = stress_yy
  [../]
  [./s_yz]
    type = PointValue
    point = '0 0 0'
    variable = stress_yz
  [../]
  [./s_zz]
    type = PointValue
    point = '0 0 0'
    variable = stress_zz
  [../]
  [./internal]
    type = PointValue
    point = '0 0 0'
    variable = mc_int
  [../]
  [./f]
    type = PointValue
    point = '0 0 0'
    variable = yield_fcn
  [../]
[]

[UserObjects]
  [./mc_coh]
    type = SolidMechanicsHardeningConstant
    value = 10
  [../]
  [./mc_phi]
    type = SolidMechanicsHardeningConstant
    value = 50
    convert_to_radians = true
  [../]
  [./mc_psi]
    type = SolidMechanicsHardeningExponential
    value_0 = 0
    value_residual = 0.8726646 # 50deg
    rate = 3000.0
  [../]
  [./mc]
    type = SolidMechanicsPlasticMohrCoulomb
    cohesion = mc_coh
    friction_angle = mc_phi
    dilation_angle = mc_psi
    mc_tip_smoother = 4
    mc_edge_smoother = 20
    yield_function_tolerance = 1E-8
    internal_constraint_tolerance = 1E-9
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    block = 0
    fill_method = symmetric_isotropic
    C_ijkl = '0 1E7'
  [../]
  [./strain]
    type = ComputeFiniteStrain
    block = 0
    displacements = 'disp_x disp_y disp_z'
  [../]
  [./mc]
    type = ComputeMultiPlasticityStress
    block = 0
    ep_plastic_tolerance = 1E-9
    plastic_models = mc
    debug_fspb = crash
  [../]
[]


[Executioner]
  end_time = 30
  dt = 1
  type = Transient
[]


[Outputs]
  file_base = small_deform3
  exodus = false
  [./csv]
    type = CSV
    [../]
[]

(modules/solid_mechanics/test/tests/drucker_prager/small_deform3_lode_zero.i)

# apply repeated stretches in x z directions, and smaller stretches along the y direction,
# so that sigma_I = sigma_II,
# which means that lode angle = 30deg.
# The allows yield surface in meridional plane to be mapped out


[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]


[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
[]

[Kernels]
  [SolidMechanics]
    displacements = 'disp_x disp_y disp_z'
  [../]
[]


[BCs]
  [./x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'front back'
    function = '1E-6*x*t'
  [../]
  [./y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'front back'
    function = '-1.7E-6*y*t'
  [../]
  [./z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'front back'
    function = '1E-6*z*t'
  [../]
[]

[AuxVariables]
  [./stress_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./mc_int]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./yield_fcn]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]

[AuxKernels]
  [./stress_xx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xx
    index_i = 0
    index_j = 0
  [../]
  [./stress_xy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xy
    index_i = 0
    index_j = 1
  [../]
  [./stress_xz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xz
    index_i = 0
    index_j = 2
  [../]
  [./stress_yy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yy
    index_i = 1
    index_j = 1
  [../]
  [./stress_yz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yz
    index_i = 1
    index_j = 2
  [../]
  [./stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zz
    index_i = 2
    index_j = 2
  [../]
  [./mc_int_auxk]
    type = MaterialStdVectorAux
    index = 0
    property = plastic_internal_parameter
    variable = mc_int
  [../]
  [./yield_fcn_auxk]
    type = MaterialStdVectorAux
    index = 0
    property = plastic_yield_function
    variable = yield_fcn
  [../]
[]

[Postprocessors]
  [./s_xx]
    type = PointValue
    point = '0 0 0'
    variable = stress_xx
  [../]
  [./s_xy]
    type = PointValue
    point = '0 0 0'
    variable = stress_xy
  [../]
  [./s_xz]
    type = PointValue
    point = '0 0 0'
    variable = stress_xz
  [../]
  [./s_yy]
    type = PointValue
    point = '0 0 0'
    variable = stress_yy
  [../]
  [./s_yz]
    type = PointValue
    point = '0 0 0'
    variable = stress_yz
  [../]
  [./s_zz]
    type = PointValue
    point = '0 0 0'
    variable = stress_zz
  [../]
  [./internal]
    type = PointValue
    point = '0 0 0'
    variable = mc_int
  [../]
  [./f]
    type = PointValue
    point = '0 0 0'
    variable = yield_fcn
  [../]
[]

[UserObjects]
  [./mc_coh]
    type = SolidMechanicsHardeningConstant
    value = 10
  [../]
  [./mc_phi]
    type = SolidMechanicsHardeningConstant
    value = 35
    convert_to_radians = true
  [../]
  [./mc_psi]
    type = SolidMechanicsHardeningConstant
    value = 5
    convert_to_radians = true
  [../]
  [./mc]
    type = SolidMechanicsPlasticDruckerPragerHyperbolic
    mc_cohesion = mc_coh
    mc_friction_angle = mc_phi
    mc_dilation_angle = mc_psi
    smoother = 8
    mc_interpolation_scheme = lode_zero
    yield_function_tolerance = 1E-7
    internal_constraint_tolerance = 1E-9
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    block = 0
    fill_method = symmetric_isotropic
    C_ijkl = '0 1E7'
  [../]
  [./strain]
    type = ComputeIncrementalStrain
    block = 0
    displacements = 'disp_x disp_y disp_z'
  [../]
  [./mc]
    type = ComputeMultiPlasticityStress
    block = 0
    ep_plastic_tolerance = 1E-13
    plastic_models = mc
    debug_fspb = crash
  [../]
[]


[Executioner]
  end_time = 10
  dt = 1
  type = Transient
[]


[Outputs]
  file_base = small_deform3_lode_zero
  exodus = false
  [./csv]
    type = CSV
    [../]
[]

(modules/porous_flow/test/tests/energy_conservation/heat03_rz.i)

# The sample is a single unit element in RZ coordinates
# A constant velocity is applied to the outer boundary: disp_r = -0.01*t.
# There is no fluid flow or heat flow.
# Heat energy conservation is checked.
# Mass conservation is checked
[Mesh]
  type = GeneratedMesh
  dim = 2
  nx = 1
  ny = 1
  xmin = 1
  xmax = 2
  ymin = -0.5
  ymax = 0.5
  coord_type = RZ
[]

[GlobalParams]
  displacements = 'disp_r disp_z'
  PorousFlowDictator = dictator
  block = 0
  biot_coefficient = 0.3
[]

[Variables]
  [disp_r]
  []
  [disp_z]
  []
  [pp]
    initial_condition = 0.1
  []
  [temp]
    initial_condition = 10
  []
[]

[BCs]
  [plane_strain]
    type = DirichletBC
    variable = disp_z
    value = 0
    boundary = 'bottom top'
  []
  [rmin_fixed]
    type = DirichletBC
    variable = disp_r
    value = 0
    boundary = left
  []
  [contract]
    type = FunctionDirichletBC
    variable = disp_r
    function = -0.01*t
    boundary = right
  []
[]

[PorousFlowFullySaturated]
  coupling_type = ThermoHydroMechanical
  porepressure = pp
  temperature = temp
  fp = simple_fluid
[]

[FluidProperties]
  [simple_fluid]
    type = SimpleFluidProperties
    bulk_modulus = 0.5
    density0 = 1
    viscosity = 1
    thermal_expansion = 0
    cv = 1.3
  []
[]

[Materials]
  [elasticity_tensor]
    type = ComputeElasticityTensor
    C_ijkl = '1 1.5'
    # bulk modulus is lambda + 2*mu/3 = 1 + 2*1.5/3 = 2
    fill_method = symmetric_isotropic
  []
  [strain]
    type = ComputeAxisymmetricRZSmallStrain
  []
  [stress]
    type = ComputeLinearElasticStress
  []
  [porosity]
    type = PorousFlowPorosity
    porosity_zero = 0.1
  []
  [rock_heat]
    type = PorousFlowMatrixInternalEnergy
    specific_heat_capacity = 2.2
    density = 0.5
  []
  [permeability]
    type = PorousFlowPermeabilityConst
    permeability = '0.5 0 0   0 0.5 0   0 0 0.5'
  []
  [thermal_cond]
    type = PorousFlowThermalConductivityIdeal
    dry_thermal_conductivity = '1 0 0  0 1 0  0 0 1'
  []
[]

[Postprocessors]
  [p0]
    type = PointValue
    outputs = 'console csv'
    execute_on = 'initial timestep_end'
    point = '1 0 0'
    variable = pp
  []
  [t0]
    type = PointValue
    outputs = 'console csv'
    execute_on = 'initial timestep_end'
    point = '1 0 0'
    variable = temp
  []
  [rdisp]
    type = PointValue
    outputs = 'csv console'
    point = '2 0 0'
    use_displaced_mesh = false
    variable = disp_r
  []
  [fluid_mass]
    type = PorousFlowFluidMass
    fluid_component = 0
    execute_on = 'initial timestep_end'
    outputs = 'console csv'
  []
  [total_heat]
    type = PorousFlowHeatEnergy
    phase = 0
    execute_on = 'initial timestep_end'
    outputs = 'console csv'
  []
  [rock_heat]
    type = PorousFlowHeatEnergy
    execute_on = 'initial timestep_end'
    outputs = 'console csv'
  []
  [fluid_heat]
    type = PorousFlowHeatEnergy
    include_porous_skeleton = false
    phase = 0
    execute_on = 'initial timestep_end'
    outputs = 'console csv'
  []
[]

[Preconditioning]
  [andy]
    type = SMP
    full = true
  []
[]

[Executioner]
  type = Transient
  solve_type = Newton
  dt = 2
  end_time = 10
[]

[Outputs]
  execute_on = 'initial timestep_end'
  [csv]
    type = CSV
  []
[]

(modules/solid_mechanics/test/tests/umat/print/print_shear_defgrad.i)

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]

[Functions]
  [tdisp]
    type = ParsedFunction
    expression = '0.025 * t'
  []
[]

[Mesh]
  [msh]
    type = GeneratedMeshGenerator
    dim = 3
    nx = 1
    ny = 1
    nz = 1
    xmin = 0
    xmax = 1
    ymin = 0
    ymax = 1
    zmin = 0
    zmax = 1
  []
[]

[Physics/SolidMechanics/QuasiStatic]
  [all]
    add_variables = true
    strain = FINITE
  []
[]

[BCs]
  [bottom_x]
    type = DirichletBC
    variable = disp_x
    boundary = bottom
    value = 0
  []
  [bottom_y]
    type = DirichletBC
    variable = disp_y
    boundary = bottom
    value = 0
  []
  [bottom_z]
    type = DirichletBC
    variable = disp_z
    boundary = bottom
    value = 0
  []
  [top_y]
    type = DirichletBC
    variable = disp_y
    boundary = top
    value = 0
  []
  [top_z]
    type = DirichletBC
    variable = disp_z
    boundary = top
    value = 0
  []
  [tdisp]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = top
    function = tdisp
  []
[]

[Materials]
  [umat]
    type = AbaqusUMATStress
    constant_properties = '1000 0.3'
    plugin = '../../../plugins/elastic_print'
    num_state_vars = 0
    use_one_based_indexing = true
  []
[]

[Executioner]
  type = Transient
  solve_type = 'PJFNK'

  petsc_options = '-snes_ksp_ew'
  petsc_options_iname = '-ksp_gmres_restart'
  petsc_options_value = '101'

  line_search = 'none'

  l_max_its = 100
  nl_max_its = 100
  nl_rel_tol = 1e-12
  nl_abs_tol = 1e-10
  l_tol = 1e-9
  start_time = 0.0
  end_time = 20

  dt = 10.0
[]

[Preconditioning]
  [smp]
    type = SMP
    full = true
  []
[]

[Outputs]
  exodus = true
[]

(modules/solid_mechanics/test/tests/static_deformations/layered_cosserat_03.i)

# apply deformations and observe the moment-stresses
# with
# young = 0.7
# poisson = 0.2
# layer_thickness = 0.1
# joint_normal_stiffness = 0.25
# joint_shear_stiffness = 0.2
# then
# a0000 = 0.730681
# a0011 = 0.18267
# a2222 = 0.0244221
# a0022 = 0.006055
# a0101 = 0.291667
# a66 = 0.018717
# a77 = 0.310383
# b0101 = 0.000534
# b0110 = -0.000107
# and with
# wc_x = x + 2*y + 3*z
# wc_y = -1.1*x - 2.2*y - 3.3*z
# then
# curvature_xy = 2
# curvature_yx = -1.1
# and all others are either zero at (x,y,z)=(0,0,0) or unimportant for layered Cosserat
# so that
# m_xy = b0101*(2) + b0110*(-1.1) = 0.00118
# m_yx = b0110*2 + b0101*(-1.1) = -0.000801
# and all others zero (at (x,y,z)=(0,0,0))
[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -1
  xmax = 1
  ymin = -1
  ymax = 1
  zmin = -1
  zmax = 1
[]

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
  Cosserat_rotations = 'wc_x wc_y wc_z'
[]

[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
  [./wc_x]
  [../]
  [./wc_y]
  [../]
[]

[Kernels]
  [./cx_elastic]
    type = CosseratStressDivergenceTensors
    variable = disp_x
    component = 0
  [../]
  [./cy_elastic]
    type = CosseratStressDivergenceTensors
    variable = disp_y
    component = 1
  [../]
  [./cz_elastic]
    type = CosseratStressDivergenceTensors
    variable = disp_z
    component = 2
  [../]
  [./x_couple]
    type = StressDivergenceTensors
    variable = wc_x
    displacements = 'wc_x wc_y wc_z'
    component = 0
    base_name = couple
  [../]
  [./y_couple]
    type = StressDivergenceTensors
    variable = wc_y
    displacements = 'wc_x wc_y wc_z'
    component = 1
    base_name = couple
  [../]
  [./x_moment]
    type = MomentBalancing
    variable = wc_x
    component = 0
  [../]
  [./y_moment]
    type = MomentBalancing
    variable = wc_y
    component = 1
  [../]
[]

[BCs]
  # zmin is called back
  # zmax is called front
  # ymin is called bottom
  # ymax is called top
  # xmin is called left
  # xmax is called right
  [./wc_x]
    type = FunctionDirichletBC
    variable = wc_x
    boundary = 'left right'
    function = 'x+2*y+3*z'
  [../]
  [./wc_y]
    type = FunctionDirichletBC
    variable = wc_y
    boundary = 'left right'
    function = '-1.1*x-2.2*y-3.3*z'
  [../]
[]

[AuxVariables]
  [./wc_z]
  [../]
  [./stress_xx]
    family = MONOMIAL
    order = CONSTANT
  [../]
  [./stress_xy]
    family = MONOMIAL
    order = CONSTANT
  [../]
  [./stress_xz]
    family = MONOMIAL
    order = CONSTANT
  [../]
  [./stress_yx]
    family = MONOMIAL
    order = CONSTANT
  [../]
  [./stress_yy]
    family = MONOMIAL
    order = CONSTANT
  [../]
  [./stress_yz]
    family = MONOMIAL
    order = CONSTANT
  [../]
  [./stress_zx]
    family = MONOMIAL
    order = CONSTANT
  [../]
  [./stress_zy]
    family = MONOMIAL
    order = CONSTANT
  [../]
  [./stress_zz]
    family = MONOMIAL
    order = CONSTANT
  [../]
  [./couple_stress_xx]
    family = MONOMIAL
    order = CONSTANT
  [../]
  [./couple_stress_xy]
    family = MONOMIAL
    order = CONSTANT
  [../]
  [./couple_stress_xz]
    family = MONOMIAL
    order = CONSTANT
  [../]
  [./couple_stress_yx]
    family = MONOMIAL
    order = CONSTANT
  [../]
  [./couple_stress_yy]
    family = MONOMIAL
    order = CONSTANT
  [../]
  [./couple_stress_yz]
    family = MONOMIAL
    order = CONSTANT
  [../]
  [./couple_stress_zx]
    family = MONOMIAL
    order = CONSTANT
  [../]
  [./couple_stress_zy]
    family = MONOMIAL
    order = CONSTANT
  [../]
  [./couple_stress_zz]
    family = MONOMIAL
    order = CONSTANT
  [../]
[]

[AuxKernels]
  [./stress_xx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xx
    index_i = 0
    index_j = 0
  [../]
  [./stress_xy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xy
    index_i = 0
    index_j = 1
  [../]
  [./stress_xz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xz
    index_i = 0
    index_j = 2
  [../]
  [./stress_yx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yx
    index_i = 1
    index_j = 0
  [../]
  [./stress_yy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yy
    index_i = 1
    index_j = 1
  [../]
  [./stress_yz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yz
    index_i = 1
    index_j = 2
  [../]
  [./stress_zx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zx
    index_i = 2
    index_j = 0
  [../]
  [./stress_zy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zy
    index_i = 2
    index_j = 1
  [../]
  [./stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zz
    index_i = 2
    index_j = 2
  [../]
  [./couple_stress_xx]
    type = RankTwoAux
    rank_two_tensor = couple_stress
    variable = couple_stress_xx
    index_i = 0
    index_j = 0
  [../]
  [./couple_stress_xy]
    type = RankTwoAux
    rank_two_tensor = couple_stress
    variable = couple_stress_xy
    index_i = 0
    index_j = 1
  [../]
  [./couple_stress_xz]
    type = RankTwoAux
    rank_two_tensor = couple_stress
    variable = couple_stress_xz
    index_i = 0
    index_j = 2
  [../]
  [./couple_stress_yx]
    type = RankTwoAux
    rank_two_tensor = couple_stress
    variable = couple_stress_yx
    index_i = 1
    index_j = 0
  [../]
  [./couple_stress_yy]
    type = RankTwoAux
    rank_two_tensor = couple_stress
    variable = couple_stress_yy
    index_i = 1
    index_j = 1
  [../]
  [./couple_stress_yz]
    type = RankTwoAux
    rank_two_tensor = couple_stress
    variable = couple_stress_yz
    index_i = 1
    index_j = 2
  [../]
  [./couple_stress_zx]
    type = RankTwoAux
    rank_two_tensor = couple_stress
    variable = couple_stress_zx
    index_i = 2
    index_j = 0
  [../]
  [./couple_stress_zy]
    type = RankTwoAux
    rank_two_tensor = couple_stress
    variable = couple_stress_zy
    index_i = 2
    index_j = 1
  [../]
  [./couple_stress_zz]
    type = RankTwoAux
    rank_two_tensor = couple_stress
    variable = couple_stress_zz
    index_i = 2
    index_j = 2
  [../]
[]

[Postprocessors]
  [./s_xx]
    type = PointValue
    point = '0 0 0'
    variable = stress_xx
  [../]
  [./s_xy]
    type = PointValue
    point = '0 0 0'
    variable = stress_xy
  [../]
  [./s_xz]
    type = PointValue
    point = '0 0 0'
    variable = stress_xz
  [../]
  [./s_yx]
    type = PointValue
    point = '0 0 0'
    variable = stress_yx
  [../]
  [./s_yy]
    type = PointValue
    point = '0 0 0'
    variable = stress_yy
  [../]
  [./s_yz]
    type = PointValue
    point = '0 0 0'
    variable = stress_yz
  [../]
  [./s_zx]
    type = PointValue
    point = '0 0 0'
    variable = stress_zx
  [../]
  [./s_zy]
    type = PointValue
    point = '0 0 0'
    variable = stress_zy
  [../]
  [./s_zz]
    type = PointValue
    point = '0 0 0'
    variable = stress_zz
  [../]
  [./c_s_xx]
    type = PointValue
    point = '0 0 0'
    variable = couple_stress_xx
  [../]
  [./c_s_xy]
    type = PointValue
    point = '0 0 0'
    variable = couple_stress_xy
  [../]
  [./c_s_xz]
    type = PointValue
    point = '0 0 0'
    variable = couple_stress_xz
  [../]
  [./c_s_yx]
    type = PointValue
    point = '0 0 0'
    variable = couple_stress_yx
  [../]
  [./c_s_yy]
    type = PointValue
    point = '0 0 0'
    variable = couple_stress_yy
  [../]
  [./c_s_yz]
    type = PointValue
    point = '0 0 0'
    variable = couple_stress_yz
  [../]
  [./c_s_zx]
    type = PointValue
    point = '0 0 0'
    variable = couple_stress_zx
  [../]
  [./c_s_zy]
    type = PointValue
    point = '0 0 0'
    variable = couple_stress_zy
  [../]
  [./c_s_zz]
    type = PointValue
    point = '0 0 0'
    variable = couple_stress_zz
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeLayeredCosseratElasticityTensor
    young = 0.7
    poisson = 0.2
    layer_thickness = 0.1
    joint_normal_stiffness = 0.25
    joint_shear_stiffness = 0.2
  [../]
  [./strain]
    type = ComputeCosseratSmallStrain
  [../]
  [./stress]
    type = ComputeCosseratLinearElasticStress
  [../]
[]

[Preconditioning]
  [./andy]
    type = SMP
    full = true
    petsc_options_iname = '-ksp_type -pc_type -sub_pc_type -snes_atol -snes_rtol -snes_max_it -ksp_atol -ksp_rtol -sub_pc_factor_shift_type'
    petsc_options_value = 'gmres asm lu 1E-10 1E-14 10 1E-15 1E-10 NONZERO'
  [../]
[]

[Executioner]
  type = Transient
  solve_type = Newton
  num_steps = 1
[]

[Outputs]
  execute_on = 'timestep_end'
  file_base = layered_cosserat_03
  csv = true
[]

(test/tests/time_integrators/convergence/implicit_convergence.i)

[Mesh]
  type = GeneratedMesh
  dim  = 2
  xmin = -1
  xmax = 1
  ymin = -1
  ymax = 1
  nx   = 4
  ny   = 4
  elem_type = QUAD9
[]

[Variables]
  active = 'u'

  [./u]
    order = SECOND
    family = LAGRANGE

    [./InitialCondition]
      type = ConstantIC
      value = 0
    [../]
  [../]
[]

[Functions]
  [./exact_fn]
    type = ParsedFunction
    expression = t*t*t*((x*x)+(y*y))
  [../]

  [./forcing_fn]
    type = ParsedFunction
    expression = 3*t*t*((x*x)+(y*y))-(4*t*t*t)
  [../]
[]

[Kernels]
  active = 'diff ie ffn'

  [./ie]
    type = TimeDerivative
    variable = u
  [../]

  [./diff]
    type = Diffusion
    variable = u
  [../]

  [./ffn]
    type = BodyForce
    variable = u
    function = forcing_fn
  [../]
[]

[BCs]
  [./all]
    type = FunctionDirichletBC
    variable = u
    boundary = '0 1 2 3'
    function = exact_fn
    preset = false
  [../]
[]

[Postprocessors]
  [./l2_err]
    type = ElementL2Error
    variable = u
    function = exact_fn
  [../]
[]

[Executioner]
  type = Transient

  solve_type = 'PJFNK'
  petsc_options_iname = '-pc_type -pc_hypre_type'
  petsc_options_value = 'hypre boomeramg'

  start_time = 0.0
  end_time = 1.0
  dt = 0.0625

 [./TimeIntegrator]
   type = ImplicitMidpoint
 [../]
[]

[Outputs]
  execute_on = 'initial timestep_end'
  exodus = true
[]

(modules/solid_mechanics/test/tests/mohr_coulomb/small_deform2_small_strain.i)

# apply repeated stretches in x, y and z directions, so that mean_stress = 0
# This maps out the yield surface in the octahedral plane for zero mean stress

[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]


[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
[]

[Kernels]
  [SolidMechanics]
    displacements = 'disp_x disp_y disp_z'
  [../]
[]


[BCs]
  [./x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'front back'
    function = '2E-6*x*sin(t)'
  [../]
  [./y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'front back'
    function = '2E-6*y*sin(2*t)'
  [../]
  [./z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'front back'
    function = '-2E-6*z*(sin(t)+sin(2*t))'
  [../]
[]

[AuxVariables]
  [./stress_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./yield_fcn]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]

[AuxKernels]
  [./stress_xx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xx
    index_i = 0
    index_j = 0
  [../]
  [./stress_xy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xy
    index_i = 0
    index_j = 1
  [../]
  [./stress_xz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xz
    index_i = 0
    index_j = 2
  [../]
  [./stress_yy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yy
    index_i = 1
    index_j = 1
  [../]
  [./stress_yz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yz
    index_i = 1
    index_j = 2
  [../]
  [./stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zz
    index_i = 2
    index_j = 2
  [../]
  [./yield_fcn_auxk]
    type = MaterialStdVectorAux
    index = 0
    property = plastic_yield_function
    variable = yield_fcn
  [../]
[]

[Postprocessors]
  [./s_xx]
    type = PointValue
    point = '0 0 0'
    variable = stress_xx
  [../]
  [./s_xy]
    type = PointValue
    point = '0 0 0'
    variable = stress_xy
  [../]
  [./s_xz]
    type = PointValue
    point = '0 0 0'
    variable = stress_xz
  [../]
  [./s_yy]
    type = PointValue
    point = '0 0 0'
    variable = stress_yy
  [../]
  [./s_yz]
    type = PointValue
    point = '0 0 0'
    variable = stress_yz
  [../]
  [./s_zz]
    type = PointValue
    point = '0 0 0'
    variable = stress_zz
  [../]
  [./f]
    type = PointValue
    point = '0 0 0'
    variable = yield_fcn
  [../]
  [./f0]
    type = PointValue
    point = '0 0 0'
    variable = yield_fcn
  [../]
  [./f1]
    type = PointValue
    point = '0 0 0'
    variable = yield_fcn
  [../]
[]

[UserObjects]
  [./mc_coh]
    type = SolidMechanicsHardeningConstant
    value = 10
  [../]
  [./mc_phi]
    type = SolidMechanicsHardeningConstant
    value = 20
    convert_to_radians = true
  [../]
  [./mc_psi]
    type = SolidMechanicsHardeningConstant
    value = 0
  [../]
  [./mc]
    type = SolidMechanicsPlasticMohrCoulomb
    cohesion = mc_coh
    friction_angle = mc_phi
    dilation_angle = mc_psi
    mc_tip_smoother = 4
    mc_edge_smoother = 20
    yield_function_tolerance = 1E-3
    internal_constraint_tolerance = 1E-9
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    block = 0
    fill_method = symmetric_isotropic
    C_ijkl = '0 1E7'
  [../]
  [./strain]
    type = ComputeIncrementalStrain
    block = 0
    displacements = 'disp_x disp_y disp_z'
  [../]
  [./mc]
    type = ComputeMultiPlasticityStress
    block = 0
    ep_plastic_tolerance = 1E-9
    plastic_models = mc
    debug_fspb = crash
  [../]
[]


[Executioner]
  end_time = 100
  dt = 1
  type = Transient
[]


[Outputs]
  file_base = small_deform2_small_strain
  exodus = false
  [./csv]
    type = CSV
    [../]
[]

(modules/xfem/test/tests/high_order_elements/square_branch_2d.i)

[GlobalParams]
  order = SECOND
  family = LAGRANGE
  displacements = 'disp_x disp_y'
  volumetric_locking_correction = false
[]

[XFEM]
  qrule = volfrac
  output_cut_plane = true
[]

[Mesh]
  type = GeneratedMesh
  dim = 2
  nx = 10
  ny = 10
  xmin = 0.0
  xmax = 1.0
  ymin = 0.0
  ymax = 1.0
  elem_type = TRI6
[]

[UserObjects]
  [./line_seg_cut_set_uo]
    type = LineSegmentCutSetUserObject
    cut_data = '-1.0000e-10   6.6340e-01   6.6340e-01  -1.0000e-10  0.0  1.0
                 3.3120e-01   3.3200e-01   1.0001e+00   3.3200e-01  1.0  2.0'
  [../]
[]

[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
[]

[Physics/SolidMechanics/QuasiStatic]
  [./all]
    strain = SMALL
  [../]
[]

[Functions]
  [./right_disp_x]
    type = PiecewiseLinear
    x = '0  1.0    2.0   3.0'
    y = '0  0.005  0.01  0.01'
  [../]
  [./top_disp_y]
    type = PiecewiseLinear
    x = '0  1.0    2.0   3.0'
    y = '0  0.005  0.01  0.01'
  [../]
[]

[BCs]
  [./right_x]
    type = FunctionDirichletBC
    boundary = 1
    variable = disp_x
    function = right_disp_x
  [../]
  [./top_y]
    type = FunctionDirichletBC
    boundary = 2
    variable = disp_y
    function = top_disp_y
  [../]
  [./bottom_y]
    type = DirichletBC
    boundary = 0
    variable = disp_y
    value = 0.0
  [../]
  [./left_x]
    type = DirichletBC
    boundary = 3
    variable = disp_x
    value = 0.0
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeIsotropicElasticityTensor
    youngs_modulus = 1e6
    poissons_ratio = 0.3
  [../]
  [./stress]
    type = ComputeLinearElasticStress
  [../]
[]

[Executioner]
  type = Transient

  solve_type = 'PJFNK'
  petsc_options_iname = '-ksp_gmres_restart -pc_type -pc_hypre_type -pc_hypre_boomeramg_max_iter'
  petsc_options_value = '201                hypre    boomeramg      10'

  line_search = 'none'

  [./Predictor]
    type = SimplePredictor
    scale = 1.0
  [../]

# controls for linear iterations
  l_max_its = 100
  l_tol = 1e-2

# controls for nonlinear iterations
  nl_max_its = 15
  nl_rel_tol = 1e-16
  nl_abs_tol = 1e-10

# time control
  start_time = 0.0
  dt = 1.0
  end_time = 2.2
  num_steps = 5000
[]

[Outputs]
  exodus = true
  [./console]
    type = Console
    output_linear = true
  [../]
[]

(modules/solid_mechanics/test/tests/shell/static/straintest_shear.i)

# Test for the shear stress and strain output for 2D planar shell with uniform mesh.
# A  cantiliver beam of length 10 m  and cross-section 1.5 m x 0.1 m having
# Young's Modulus of 5 N/mm^2 and poissons ratio of 0 is subjected to shear
# displacement of 0.05 m at the free end.

[Mesh]
  type = GeneratedMesh
  dim = 2
  nx = 4
  ny = 1
  xmin = 0.0
  xmax = 10
  ymin = 0.0
  ymax = 1.5
[]

[Variables]
  [disp_x]
    order = FIRST
    family = LAGRANGE
  []
  [disp_y]
    order = FIRST
    family = LAGRANGE
  []
  [disp_z]
    order = FIRST
    family = LAGRANGE
  []
  [rot_x]
    order = FIRST
    family = LAGRANGE
  []
  [rot_y]
    order = FIRST
    family = LAGRANGE
  []
[]

[AuxVariables]
  [stress_xx]
    order = CONSTANT
    family = MONOMIAL
  []
  [strain_xx]
    order = CONSTANT
    family = MONOMIAL
  []
  [stress_yy]
    order = CONSTANT
    family = MONOMIAL
  []
  [strain_yy]
    order = CONSTANT
    family = MONOMIAL
  []
  [stress_xy]
    order = CONSTANT
    family = MONOMIAL
  []
  [strain_xy]
    order = CONSTANT
    family = MONOMIAL
  []
  [stress_yz]
    order = CONSTANT
    family = MONOMIAL
  []
  [strain_yz]
    order = CONSTANT
    family = MONOMIAL
  []
  [stress_xz]
    order = CONSTANT
    family = MONOMIAL
  []
  [strain_xz]
    order = CONSTANT
    family = MONOMIAL
  []
[]

[AuxKernels]
  [stress_xx]
    type = RankTwoAux
    variable = stress_xx
    selected_qp = 0
    rank_two_tensor = global_stress_t_points_1
    index_i = 0
    index_j = 0
  []
  [strain_xx]
    type = RankTwoAux
    variable = strain_xx
    rank_two_tensor = total_global_strain_t_points_1
    selected_qp = 0
    index_i = 0
    index_j = 0
  []
  [stress_yy]
    type = RankTwoAux
    variable = stress_yy
    rank_two_tensor = global_stress_t_points_1
    selected_qp = 0
    index_i = 1
    index_j = 1
  []
  [strain_yy]
    type = RankTwoAux
    variable = strain_yy
    rank_two_tensor = total_global_strain_t_points_1
    selected_qp = 0
    index_i = 1
    index_j = 1
  []
  [stress_xy]
    type = RankTwoAux
    variable = stress_xy
    rank_two_tensor = global_stress_t_points_1
    selected_qp = 0
    index_i = 0
    index_j = 1
  []
  [strain_xy]
    type = RankTwoAux
    variable = strain_xy
    rank_two_tensor = total_global_strain_t_points_1
    selected_qp = 0
    index_i = 0
    index_j = 1
  []
  [stress_yz]
    type = RankTwoAux
    variable = stress_yz
    rank_two_tensor = global_stress_t_points_1
    selected_qp = 0
    index_i = 1
    index_j = 2
  []
  [strain_yz]
    type = RankTwoAux
    variable = strain_yz
    rank_two_tensor = total_global_strain_t_points_1
    selected_qp = 0
    index_i = 1
    index_j = 2
  []
  [stress_xz]
    type = RankTwoAux
    variable = stress_xz
    rank_two_tensor = global_stress_t_points_1
    selected_qp = 0
    index_i = 0
    index_j = 2
  []
  [strain_xz]
    type = RankTwoAux
    variable = strain_yz
    rank_two_tensor = total_global_strain_t_points_1
    selected_qp = 0
    index_i = 0
    index_j = 2
  []
[]

[BCs]
  [fixx]
    type = DirichletBC
    variable = disp_x
    boundary = left
    value = 0.0
  []
  [fixy]
    type = DirichletBC
    variable = disp_y
    boundary = left
    value = 0.0
  []
  [fixz]
    type = DirichletBC
    variable = disp_z
    boundary = left
    value = 0.0
  []
  [fixr1]
    type = DirichletBC
    variable = rot_x
    boundary = left
    value = 0.0
  []
  [fixr2]
    type = DirichletBC
    variable = rot_y
    boundary = left
    value = 0.0
  []
  [disp]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'right'
    function = displacement
  []
[]

[Functions]
  [displacement]
    type = PiecewiseLinear
    x = '0.0 1.0'
    y = '0.0 0.05'
  []
[]

[Preconditioning]
  [smp]
    type = SMP
    full = true
  []
[]

[Executioner]
  type = Transient
  solve_type = NEWTON
  automatic_scaling = true

  line_search = 'none'
  nl_rel_tol = 1e-12
  nl_abs_tol = 1e-14

  dt = 1
  dtmin = 1
  end_time = 1
[]

[Kernels]
  [solid_disp_x]
    type = ADStressDivergenceShell
    block = '0'
    component = 0
    variable = disp_x
    through_thickness_order = SECOND
  []
  [solid_disp_y]
    type = ADStressDivergenceShell
    block = '0'
    component = 1
    variable = disp_y
    through_thickness_order = SECOND
  []
  [solid_disp_z]
    type = ADStressDivergenceShell
    block = '0'
    component = 2
    variable = disp_z
    through_thickness_order = SECOND
  []
  [solid_rot_x]
    type = ADStressDivergenceShell
    block = '0'
    component = 3
    variable = rot_x
    through_thickness_order = SECOND
  []
  [solid_rot_y]
    type = ADStressDivergenceShell
    block = '0'
    component = 4
    variable = rot_y
    through_thickness_order = SECOND
  []
[]

[Materials]
  [elasticity]
    type = ADComputeIsotropicElasticityTensorShell
    youngs_modulus = 4.0e6
    poissons_ratio = 0.0
    block = 0
    through_thickness_order = SECOND
  []
  [strain]
    type = ADComputeIncrementalShellStrain
    block = '0'
    displacements = 'disp_x disp_y disp_z'
    rotations = 'rot_x rot_y'
    thickness = 0.1
    through_thickness_order = SECOND
  []
  [stress]
    type = ADComputeShellStress
    block = 0
    through_thickness_order = SECOND
  []
[]

[Postprocessors]
  [stress_xy_el_0]
    type = ElementalVariableValue
    elementid = 0
    variable = stress_xy
  []
  [strain_xy_el_0]
    type = ElementalVariableValue
    elementid = 0
    variable = strain_xy
  []
  [stress_xy_el_1]
    type = ElementalVariableValue
    elementid = 1
    variable = stress_xy
  []
  [strain_xy_el_1]
    type = ElementalVariableValue
    elementid = 1
    variable = strain_xy
  []
  [stress_xy_el_2]
    type = ElementalVariableValue
    elementid = 2
    variable = stress_xy
  []
  [strain_xy_el_2]
    type = ElementalVariableValue
    elementid = 2
    variable = strain_xy
  []
  [stress_xy_el_3]
    type = ElementalVariableValue
    elementid = 3
    variable = stress_xy
  []
  [strain_xy_el_3]
    type = ElementalVariableValue
    elementid = 3
    variable = strain_xy
  []
  [stress_xx_el_0]
    type = ElementalVariableValue
    elementid = 0
    variable = stress_xx
  []
  [strain_xx_el_0]
    type = ElementalVariableValue
    elementid = 0
    variable = strain_xx
  []
  [stress_xx_el_1]
    type = ElementalVariableValue
    elementid = 1
    variable = stress_xx
  []
  [strain_xx_el_1]
    type = ElementalVariableValue
    elementid = 1
    variable = strain_xx
  []
  [stress_xx_el_2]
    type = ElementalVariableValue
    elementid = 2
    variable = stress_xx
  []
  [strain_xx_el_2]
    type = ElementalVariableValue
    elementid = 2
    variable = strain_xx
  []
  [stress_xx_el_3]
    type = ElementalVariableValue
    elementid = 3
    variable = stress_xx
  []
  [strain_xx_el_3]
    type = ElementalVariableValue
    elementid = 3
    variable = strain_xx
  []
[]

[Outputs]
  exodus = true
[]

(modules/combined/test/tests/elastic_patch/ad_elastic_patch_rz.i)

#
# This problem is taken from the Abaqus verification manual:
#   "1.5.4 Patch test for axisymmetric elements"
# The stress solution is given as:
#   xx = yy = zz = 2000
#   xy = 400
#
# Since the strain is 1e-3 in all three directions, the new density should be
#   new_density = original_density * V_0 / V
#   new_density = 0.283 / (1 + 1e-3 + 1e-3 + 1e-3) = 0.282153

[GlobalParams]
  displacements = 'disp_x disp_y'
  temperature = temp
[]

[Mesh]
  file = elastic_patch_rz.e
  coord_type = RZ
[]

[Variables]
  [temp]
    initial_condition = 117.56
  []
[]

[Physics/SolidMechanics/QuasiStatic/All]
  strain = SMALL
  incremental = true
  add_variables = true
  generate_output = 'stress_xx stress_yy stress_zz stress_xy stress_yz stress_zx'
[]

[Kernels]
  [body]
    type = BodyForce
    variable = disp_y
    value = 1
    function = '-400/x'
  []

  [heat]
    type = TimeDerivative
    variable = temp
  []
[]

[BCs]
  [ur]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 10
    function = '1e-3*x'
  []
  [uz]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 10
    function = '1e-3*(x+y)'
  []
[]

[Materials]
  [elasticity_tensor]
    type = ComputeIsotropicElasticityTensor
    youngs_modulus = 1e6
    poissons_ratio = 0.25
  []
  [stress]
    type = ComputeStrainIncrementBasedStress
  []
[]

[Materials]
  [density]
    type = ADDensity
    density = 0.283
    outputs = all
  []
[]

[Executioner]
  type = Transient
  solve_type = 'PJFNK'

  end_time = 1.0
[]

[Outputs]
  [out]
    type = Exodus
    elemental_as_nodal = true
  []
[]

(modules/solid_mechanics/test/tests/hyperelastic_viscoplastic/one_elem.i)

[Mesh]
  type = GeneratedMesh
  dim = 3
  elem_type = HEX8
  displacements = 'ux uy uz'
[]

[Variables]
  [./ux]
    block = 0
  [../]
  [./uy]
    block = 0
  [../]
  [./uz]
    block = 0
  [../]
[]

[Kernels]
  [SolidMechanics]
    displacements = 'ux uy uz'
    use_displaced_mesh = true
  [../]
[]

[AuxVariables]
  [./stress_zz]
    order = CONSTANT
    family = MONOMIAL
    block = 0
  [../]
  [./peeq]
    order = CONSTANT
    family = MONOMIAL
    block = 0
  [../]
  [./fp_zz]
    order = CONSTANT
    family = MONOMIAL
    block = 0
  [../]
[]

[AuxKernels]
  [./stress_zz]
    type = RankTwoAux
    variable = stress_zz
    rank_two_tensor = stress
    index_j = 2
    index_i = 2
    execute_on = timestep_end
    block = 0
  [../]
  [./fp_zz]
    type = RankTwoAux
    variable = fp_zz
    rank_two_tensor = fp
    index_j = 2
    index_i = 2
    execute_on = timestep_end
    block = 0
  [../]
  [./peeq]
    type = MaterialRealAux
    variable = peeq
    property = ep_eqv
    execute_on = timestep_end
    block = 0
  [../]
[]

[BCs]
  [./symmy]
    type = DirichletBC
    variable = uy
    boundary = bottom
    value = 0
  [../]
  [./symmx]
    type = DirichletBC
    variable = ux
    boundary = left
    value = 0
  [../]
  [./symmz]
    type = DirichletBC
    variable = uz
    boundary = back
    value = 0
  [../]
  [./tdisp]
    type = FunctionDirichletBC
    variable = uz
    boundary = front
    function = '0.01*t'
  [../]
[]

[UserObjects]
  [./flowstress]
    type = HEVPRambergOsgoodHardening
    yield_stress = 100
    hardening_exponent = 0.1
    reference_plastic_strain = 0.002
    intvar_prop_name = ep_eqv
  [../]
  [./flowrate]
    type = HEVPFlowRatePowerLawJ2
    reference_flow_rate = 0.0001
    flow_rate_exponent = 50.0
    flow_rate_tol = 1
    strength_prop_name = flowstress
  [../]
  [./ep_eqv]
     type = HEVPEqvPlasticStrain
     intvar_rate_prop_name = ep_eqv_rate
  [../]
  [./ep_eqv_rate]
     type = HEVPEqvPlasticStrainRate
     flow_rate_prop_name = flowrate
  [../]
[]

[Materials]
  [./strain]
    type = ComputeFiniteStrain
    block = 0
    displacements = 'ux uy uz'
  [../]
  [./viscop]
    type = FiniteStrainHyperElasticViscoPlastic
    block = 0
    resid_abs_tol = 1e-18
    resid_rel_tol = 1e-8
    maxiters = 50
    max_substep_iteration = 5
    flow_rate_user_objects = 'flowrate'
    strength_user_objects = 'flowstress'
    internal_var_user_objects = 'ep_eqv'
    internal_var_rate_user_objects = 'ep_eqv_rate'
  [../]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    block = 0
    C_ijkl = '2.8e5 1.2e5 1.2e5 2.8e5 1.2e5 2.8e5 0.8e5 0.8e5 0.8e5'
    fill_method = symmetric9
  [../]
[]

[Postprocessors]
  [./stress_zz]
    type = ElementAverageValue
    variable = stress_zz
    block = 'ANY_BLOCK_ID 0'
  [../]
  [./fp_zz]
    type = ElementAverageValue
    variable = fp_zz
    block = 'ANY_BLOCK_ID 0'
  [../]
  [./peeq]
    type = ElementAverageValue
    variable = peeq
    block = 'ANY_BLOCK_ID 0'
  [../]
[]

[Preconditioning]
  [./smp]
    type = SMP
    full = true
  [../]
[]

[Executioner]
  type = Transient
  dt = 0.02
  #Preconditioned JFNK (default)
  solve_type = 'PJFNK'
  petsc_options_iname = -pc_hypre_type
  petsc_options_value = boomerang
  dtmax = 10.0
  nl_rel_tol = 1e-10
  dtmin = 0.02
  num_steps = 10
[]

[Outputs]
  file_base = one_elem
  exodus = true
  csv = false
[]

(modules/solid_mechanics/test/tests/tensile/small_deform_hard3.i)

# checking for small deformation, with cubic hardening
# A single element is repeatedly stretched by in z direction
# tensile_strength is set to 1Pa, tensile_strength_residual = 0.5Pa, and limit value = 1E-5
# This allows the hardening of the tensile strength to be observed

[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]

[Physics/SolidMechanics/QuasiStatic]
  [./all]
    add_variables = true
    incremental = true
    strain = finite
    generate_output = 'stress_xx stress_xy stress_xz stress_yy stress_yz stress_zz'
  [../]
[]

[BCs]
  [./x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'front back'
    function = '0'
  [../]
  [./y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'front back'
    function = '0'
  [../]
  [./z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'front back'
    function = '1E-6*z*t'
  [../]
[]

[AuxVariables]
  [./yield_fcn]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./iter]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./intnl]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]

[AuxKernels]
  [./yield_fcn_auxk]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 0
    variable = yield_fcn
  [../]
  [./iter_auxk]
    type = MaterialRealAux
    property = plastic_NR_iterations
    variable = iter
  [../]
  [./intnl_auxk]
    type = MaterialStdVectorAux
    property = plastic_internal_parameter
    index = 0
    variable = intnl
  [../]
[]

[Postprocessors]
  [./s_xx]
    type = PointValue
    point = '0 0 0'
    variable = stress_xx
  [../]
  [./s_xy]
    type = PointValue
    point = '0 0 0'
    variable = stress_xy
  [../]
  [./s_xz]
    type = PointValue
    point = '0 0 0'
    variable = stress_xz
  [../]
  [./s_yy]
    type = PointValue
    point = '0 0 0'
    variable = stress_yy
  [../]
  [./s_yz]
    type = PointValue
    point = '0 0 0'
    variable = stress_yz
  [../]
  [./s_zz]
    type = PointValue
    point = '0 0 0'
    variable = stress_zz
  [../]
  [./f]
    type = PointValue
    point = '0 0 0'
    variable = yield_fcn
  [../]
  [./iter]
    type = PointValue
    point = '0 0 0'
    variable = iter
  [../]
  [./intnl]
    type = PointValue
    point = '0 0 0'
    variable = intnl
  [../]
[]

[UserObjects]
  [./ts]
    type = SolidMechanicsHardeningCubic
    value_0 = 1.0
    value_residual = 0.5
    internal_0 = 0
    internal_limit = 1E-5
  [../]
  [./mc]
    type = SolidMechanicsPlasticTensile
    tensile_strength = ts
    yield_function_tolerance = 1E-6
    tensile_tip_smoother = 0.0
    internal_constraint_tolerance = 1E-5
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    block = 0
    fill_method = symmetric_isotropic
    C_ijkl = '0 2.0E6'
  [../]
  [./mc]
    type = ComputeMultiPlasticityStress
    block = 0
    ep_plastic_tolerance = 1E-5
    plastic_models = mc
    debug_fspb = crash
    debug_jac_at_stress = '1 2 3 2 -4 -5 3 -5 10'
    debug_jac_at_pm = 0.8
    debug_jac_at_intnl = 1
    debug_stress_change = 1E-8
    debug_pm_change = 1E-5
    debug_intnl_change = 1E-5
  [../]
[]


[Executioner]
  end_time = 10
  dt = 1.0
  type = Transient
[]


[Outputs]
  file_base = small_deform_hard3
  exodus = false
  [./csv]
    type = CSV
    [../]
[]

(modules/solid_mechanics/test/tests/capped_mohr_coulomb/small_deform_hard3.i)

# Using CappedMohrCoulomb with tensile failure only
# checking for small deformation, with cubic hardening
# A single element is repeatedly stretched in z direction
# tensile_strength is set to 1Pa, tensile_strength_residual = 0.5Pa, and limit value = 1E-5
# This allows the hardening of the tensile strength to be observed

[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]

[Physics/SolidMechanics/QuasiStatic]
  [./all]
    add_variables = true
    incremental = true
    generate_output = 'max_principal_stress mid_principal_stress min_principal_stress'
  [../]
[]

[BCs]
  [./x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'front back'
    function = '0'
  [../]
  [./y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'front back'
    function = '0'
  [../]
  [./z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'front back'
    function = '2E-6*z*t'
  [../]
[]

[AuxVariables]
  [./yield_fcn]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./iter]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./intnl]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]

[AuxKernels]
  [./yield_fcn_auxk]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 0
    variable = yield_fcn
  [../]
  [./iter_auxk]
    type = MaterialRealAux
    property = plastic_NR_iterations
    variable = iter
  [../]
  [./intnl_auxk]
    type = MaterialStdVectorAux
    property = plastic_internal_parameter
    index = 1
    variable = intnl
  [../]
[]

[Postprocessors]
  [./s_I]
    type = PointValue
    point = '0 0 0'
    variable = max_principal_stress
  [../]
  [./s_II]
    type = PointValue
    point = '0 0 0'
    variable = mid_principal_stress
  [../]
  [./s_III]
    type = PointValue
    point = '0 0 0'
    variable = min_principal_stress
  [../]
  [./f]
    type = PointValue
    point = '0 0 0'
    variable = yield_fcn
  [../]
  [./iter]
    type = PointValue
    point = '0 0 0'
    variable = iter
  [../]
  [./intnl]
    type = PointValue
    point = '0 0 0'
    variable = intnl
  [../]
[]

[UserObjects]
  [./ts]
    type = SolidMechanicsHardeningCubic
    value_0 = 1.0
    value_residual = 0.5
    internal_0 = 0
    internal_limit = 1E-5
  [../]
  [./cs]
    type = SolidMechanicsHardeningConstant
    value = 1E6
  [../]
  [./coh]
    type = SolidMechanicsHardeningConstant
    value = 1E6
  [../]
  [./ang]
    type = SolidMechanicsHardeningConstant
    value = 0.5
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    fill_method = symmetric_isotropic
    C_ijkl = '0 2.0E6'
  [../]
  [./tensile]
    type = CappedMohrCoulombStressUpdate
    tensile_strength = ts
    compressive_strength = cs
    cohesion = coh
    friction_angle = ang
    dilation_angle = ang
    smoothing_tol = 0.0
    yield_function_tol = 1.0E-12
  [../]
  [./stress]
    type = ComputeMultipleInelasticStress
    inelastic_models = tensile
    perform_finite_strain_rotations = false
  [../]
[]


[Executioner]
  end_time = 10
  dt = 1.0
  type = Transient
[]


[Outputs]
  file_base = small_deform_hard3
  csv = true
[]

(modules/navier_stokes/test/tests/finite_element/ins/rz-x-axial-coord/hand-coded-jac-pipe-flow.i)

mu=1
rho=1
pipe_length=10 # m
pipe_radius=1 # m
u_inlet=1

[GlobalParams]
  integrate_p_by_parts = false
  supg = true
  pspg = true
[]

[Mesh]
  [gen]
    type = GeneratedMeshGenerator
    dim = 2
    xmin = 0
    xmax = ${pipe_length}
    ymin = 0
    ymax = ${pipe_radius}
    nx = 50
    ny = 5
  []
  coord_type = 'RZ'
  rz_coord_axis = x
[]

[Variables]
  [velocity_x]
    family = LAGRANGE
  []
  [velocity_y]
    family = LAGRANGE
  []
  [p][]
[]

[Kernels]
  [mass]
    type = INSMassRZ
    variable = p
    u = velocity_x
    v = velocity_y
    pressure = p
  []
  [x_momentum]
    type = INSMomentumLaplaceFormRZ
    variable = velocity_x
    u = velocity_x
    v = velocity_y
    pressure = p
    component = 0
  []
  [y_momentum]
    type = INSMomentumLaplaceFormRZ
    variable = velocity_y
    u = velocity_x
    v = velocity_y
    pressure = p
    component = 1
  []
[]

[Functions]
  [vel_x_inlet]
    type = ParsedFunction
    expression = '${u_inlet} * (${pipe_radius}^2 - y^2)'
  []
[]

[BCs]
  [inlet_x]
    type = FunctionDirichletBC
    variable = velocity_x
    boundary = 'left'
    function = vel_x_inlet
  []
  [zero_y]
    type = FunctionDirichletBC
    variable = velocity_y
    boundary = 'left top bottom'
    function = 0
  []
  [zero_x]
    type = FunctionDirichletBC
    variable = velocity_x
    boundary = 'top'
    function = 0
  []
  # pressure is not integrated by parts so we cannot remove the nullspace through a natural condition
  [p_corner]
    type = DirichletBC
    boundary = 'right'
    value = 0
    variable = p
  []
[]

[Materials]
  [const]
    type = GenericConstantMaterial
    prop_names = 'rho mu'
    prop_values = '${rho} ${mu}'
  []
[]

[Executioner]
  type = Steady
  solve_type = 'NEWTON'
  petsc_options_iname = '-pc_type'
  petsc_options_value = 'lu'
  nl_rel_tol = 1e-12
  nl_abs_tol = 1e-12
  line_search = 'none'
[]

[Outputs]
  exodus = true
[]

(test/tests/time_integrators/explicit-euler/ee-2d-quadratic.i)

[Mesh]
  type = GeneratedMesh
  dim = 2
  xmin = -1
  xmax = 1
  ymin = -1
  ymax = 1
  nx = 10
  ny = 10
  elem_type = QUAD9
[]

[Functions]
  [./ic]
    type = ParsedFunction
    expression = 0
  [../]

  [./forcing_fn]
    type = ParsedFunction
    expression = ((x*x)+(y*y))-(4*t)
  [../]

  [./exact_fn]
    type = ParsedFunction
    expression = t*((x*x)+(y*y))
  [../]
[]

[Variables]
  [./u]
    order = SECOND
    family = LAGRANGE

    [./InitialCondition]
      type = FunctionIC
      function = ic
    [../]
  [../]
[]

[Kernels]
  [./ie]
    type = TimeDerivative
    variable = u
    implicit = true
  [../]

  [./diff]
    type = Diffusion
    variable = u
    implicit = false
  [../]

  [./ffn]
    type = BodyForce
    variable = u
    function = forcing_fn
    implicit = false
  [../]
[]

[BCs]
  active = 'all'

  [./all]
    type = FunctionDirichletBC
    variable = u
    boundary = '0 1 2 3'
    function = exact_fn
    implicit = true
  [../]
[]

[Postprocessors]
  [./l2_err]
    type = ElementL2Error
    variable = u
    function = exact_fn
  [../]
[]

[Executioner]
  type = Transient
  scheme = 'explicit-euler'
  solve_type = 'LINEAR'

  l_tol = 1e-13
  start_time = 0.0
  num_steps = 20
  dt = 0.00005
[]

[Outputs]
  exodus = true
  [./console]
    type = Console
    max_rows = 10
  [../]
[]

(test/tests/time_integrators/explicit-euler/ee-2d-linear-adapt.i)

[Mesh]
  type = GeneratedMesh
  dim = 2
  xmin = -1
  xmax = 1
  ymin = -1
  ymax = 1
  nx = 10
  ny = 10
  elem_type = QUAD4
[]

[Functions]
  [./ic]
    type = ParsedFunction
    expression = 0
  [../]

  [./forcing_fn]
    type = ParsedFunction
    expression = (x+y)
  [../]

  [./exact_fn]
    type = ParsedFunction
    expression = t*(x+y)
  [../]
[]

[Variables]
  [./u]
    order = FIRST
    family = LAGRANGE

    [./InitialCondition]
      type = FunctionIC
      function = ic
    [../]
  [../]
[]

[Kernels]
  [./ie]
    type = TimeDerivative
    variable = u
    lumping = true
    implicit = true
  [../]

  [./diff]
    type = Diffusion
    variable = u
    implicit = false
  [../]

  [./ffn]
    type = BodyForce
    variable = u
    function = forcing_fn
    implicit = false
  [../]
[]

[BCs]
  active = 'all'

  [./all]
    type = FunctionDirichletBC
    variable = u
    boundary = '0 1 2 3'
    function = exact_fn
    implicit = true
  [../]
[]

[Adaptivity]
  steps = 1
  marker = box
  max_h_level = 2
  [./Markers]
    [./box]
      bottom_left = '-0.4 -0.4 0'
      inside = refine
      top_right = '0.4 0.4 0'
      outside = do_nothing
      type = BoxMarker
    [../]
  [../]
[]

[Postprocessors]
  [./l2_err]
    type = ElementL2Error
    variable = u
    function = exact_fn
  [../]
[]

[Executioner]
  type = Transient
  scheme = 'explicit-euler'

  start_time = 0.0
  num_steps = 4
  dt = 0.005
[]

[Outputs]
  exodus = true
  [./console]
    type = Console
    max_rows = 10
  [../]
[]

(test/tests/ics/from_exodus_solution/elem_part2.i)

# Use the exodus file for restarting the problem:
# - restart elemental aux variable

[Mesh]
  [fmg]
    type = FileMeshGenerator
    file = elem_part1_out.e
    use_for_exodus_restart = true
  []
  # This problem uses ExodusII_IO::copy_elemental_solution(), which only
  # works with ReplicatedMesh
  parallel_type = replicated
[]

[Functions]
  [exact_fn]
    type = ParsedFunction
    expression = ((x*x)+(y*y))
  []

  [forcing_fn]
    type = ParsedFunction
    expression = -4
  []
[]

[AuxVariables]
  [e]
    order = CONSTANT
    family = MONOMIAL
    initial_from_file_var = e
    initial_from_file_timestep = 6
  []
[]

[AuxKernels]
  [ak]
    type = ProjectionAux
    variable = e
    v = e
  []
[]

[Variables]
  [u]
    order = FIRST
    family = LAGRANGE
  []
[]

[Kernels]
  [diff]
    type = Diffusion
    variable = u
  []

  [ffn]
    type = BodyForce
    variable = u
    function = forcing_fn
  []
[]

[BCs]
  [all]
    type = FunctionDirichletBC
    variable = u
    boundary = '0 1 2 3'
    function = exact_fn
  []
[]

[Executioner]
  type = Steady

  solve_type = 'PJFNK'
[]

[Outputs]
  exodus = true
[]

(test/tests/ics/from_exodus_solution/nodal_part1.i)

# We run a simple problem (5 time steps and save off the solution)
# In part2, we load the solution and solve a steady problem. The test check, that the initial state in part 2 is the same as the last state from part1

[Mesh]
  type = GeneratedMesh
  dim = 2
  xmin = -1
  xmax = 1
  ymin = -1
  ymax = 1
  nx = 20
  ny = 20
[]

[Functions]
  [./exact_fn]
    type = ParsedFunction
    expression = t*((x*x)+(y*y))
  [../]

  [./forcing_fn]
    type = ParsedFunction
    expression = -4+(x*x+y*y)
  [../]
[]

[Variables]
  active = 'u'

  [./u]
    order = FIRST
    family = LAGRANGE
  [../]
[]

[Kernels]
  active = 'ie diff ffn'

  [./ie]
    type = TimeDerivative
    variable = u
  [../]

  [./diff]
    type = Diffusion
    variable = u
  [../]

  [./ffn]
    type = BodyForce
    variable = u
    function = forcing_fn
  [../]
[]

[BCs]
  [./all]
    type = FunctionDirichletBC
    variable = u
    boundary = '0 1 2 3'
    function = exact_fn
  [../]
[]

[Executioner]
  type = Transient

  solve_type = 'PJFNK'

  dt = 0.2
  start_time = 0
  num_steps = 5
[]

[Outputs]
  file_base = out_nodal_part1
  exodus = true
  xda = true
[]

(test/tests/geomsearch/2d_moving_penetration/pl_test1.i)

[GlobalParams]
  order = FIRST
  family = LAGRANGE
[]

[Mesh]
  file = pl_test1.e
  displacements = 'disp_x disp_y'
[]

[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
[]

[AuxVariables]
  [./distance]
  [../]
  [./tangential_distance]
  [../]
  [./normal_x]
  [../]
  [./normal_y]
  [../]
  [./closest_point_x]
  [../]
  [./closest_point_y]
  [../]
  [./element_id]
  [../]
  [./side]
  [../]
[]

[Kernels]
  [./diff_x]
    type = Diffusion
    variable = disp_x
  [../]
  [./diff_y]
    type = Diffusion
    variable = disp_y
  [../]
[]

[AuxKernels]
  [./penetrate]
    type = PenetrationAux
    variable = distance
    boundary = 11            #secondary
    paired_boundary = 12     #primary
  [../]

  [./penetrate2]
    type = PenetrationAux
    variable = distance
    boundary = 12            #secondary
    paired_boundary = 11     #primary
  [../]

  [./penetrate3]
    type = PenetrationAux
    variable = tangential_distance
    boundary = 11
    paired_boundary = 12
    quantity = tangential_distance
  [../]

  [./penetrate4]
    type = PenetrationAux
    variable = tangential_distance
    boundary = 12
    paired_boundary = 11
    quantity = tangential_distance
  [../]

  [./penetrate5]
    type = PenetrationAux
    variable = normal_x
    boundary = 11
    paired_boundary = 12
    quantity = normal_x
  [../]

  [./penetrate6]
    type = PenetrationAux
    variable = normal_x
    boundary = 12
    paired_boundary = 11
    quantity = normal_x
  [../]

  [./penetrate7]
    type = PenetrationAux
    variable = normal_y
    boundary = 11
    paired_boundary = 12
    quantity = normal_y
  [../]

  [./penetrate8]
    type = PenetrationAux
    variable = normal_y
    boundary = 12
    paired_boundary = 11
    quantity = normal_y
  [../]

  [./penetrate9]
    type = PenetrationAux
    variable = closest_point_x
    boundary = 11
    paired_boundary = 12
    quantity = closest_point_x
  [../]

  [./penetrate10]
    type = PenetrationAux
    variable = closest_point_x
    boundary = 12
    paired_boundary = 11
    quantity = closest_point_x
  [../]

  [./penetrate11]
    type = PenetrationAux
    variable = closest_point_y
    boundary = 11
    paired_boundary = 12
    quantity = closest_point_y
  [../]

  [./penetrate12]
    type = PenetrationAux
    variable = closest_point_y
    boundary = 12
    paired_boundary = 11
    quantity = closest_point_y
  [../]

  [./penetrate13]
    type = PenetrationAux
    variable = element_id
    boundary = 11
    paired_boundary = 12
    quantity = element_id
  [../]

  [./penetrate14]
    type = PenetrationAux
    variable = element_id
    boundary = 12
    paired_boundary = 11
    quantity = element_id
  [../]

  [./penetrate15]
    type = PenetrationAux
    variable = side
    boundary = 11
    paired_boundary = 12
    quantity = side
  [../]

  [./penetrate16]
    type = PenetrationAux
    variable = side
    boundary = 12
    paired_boundary = 11
    quantity = side
  [../]
[]

[BCs]
  [./b1x]
    type = DirichletBC
    variable = disp_x
    boundary = 1
    value = 0
  [../]

  [./b1y]
    type = DirichletBC
    variable = disp_y
    boundary = 1
    value = 0
  [../]

  [./b2x]
    type = DirichletBC
    variable = disp_x
    boundary = 2
    value = 0
  [../]

  [./b2y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 2
    function = disp_y
  [../]
[]

[Functions]
  [./disp_y]
    type = PiecewiseLinear
    x = '0.0 0.25 0.75 1.0'
    y = '0.0 0.7 -0.7  0.0'
  [../]
[]

[Executioner]
  type = Transient

  solve_type = 'PJFNK'
  petsc_options = '-snes_ksp_ew'

  nl_rel_tol = 1e-9
  l_max_its = 10

  start_time = 0.0
  dt = 0.05
  end_time = 1.0
[]

[Outputs]
  file_base = pl_test1_out
  exodus = true
[]

(modules/navier_stokes/test/tests/finite_element/ins/lid_driven/steady_fsp.i)

rho=1
mu=2e-3
U=1
l=1
prefactor=${fparse 1/(l/2)^2}
n=64

[GlobalParams]
  gravity = '0 0 0'
[]

[Mesh]
  [gen]
    type = DistributedRectilinearMeshGenerator
    dim = 2
    xmin = 0
    xmax = ${l}
    ymin = 0
    ymax = ${l}
    nx = ${n}
    ny = ${n}
    elem_type = QUAD4
  []
  second_order = true
  parallel_type = distributed
[]

[Variables]
  [vel_x]
    order = SECOND
    family = LAGRANGE
  []
  [vel_y]
    order = SECOND
    family = LAGRANGE
  []
  [p]
    order = FIRST
    family = LAGRANGE
  []
[]

[Kernels]
  [mass]
    type = INSMass
    variable = p
    u = vel_x
    v = vel_y
    pressure = p
  []

  [x_momentum_space]
    type = INSMomentumLaplaceForm
    variable = vel_x
    u = vel_x
    v = vel_y
    pressure = p
    component = 0
  []
  [momentum_x_mass]
    type = MassMatrix
    variable = vel_x
    density = ${rho}
    matrix_tags = 'mass'
  []
  [y_momentum_space]
    type = INSMomentumLaplaceForm
    variable = vel_y
    u = vel_x
    v = vel_y
    pressure = p
    component = 1
  []
  [momentum_y_mass]
    type = MassMatrix
    variable = vel_y
    density = ${rho}
    matrix_tags = 'mass'
  []
[]

[BCs]
  [x_no_slip]
    type = DirichletBC
    variable = vel_x
    boundary = 'bottom right left'
    value = 0.0
  []
  [lid]
    type = FunctionDirichletBC
    variable = vel_x
    boundary = 'top'
    function = 'lid_function'
  []
  [y_no_slip]
    type = DirichletBC
    variable = vel_y
    boundary = 'bottom right top left'
    value = 0.0
  []
[]

[Materials]
  [const]
    type = GenericConstantMaterial
    block = 0
    prop_names = 'rho mu'
    prop_values = '${rho} ${mu}'
  []
[]

[Functions]
  [lid_function]
    # We pick a function that is exactly represented in the velocity
    # space so that the Dirichlet conditions are the same regardless
    # of the mesh spacing.
    type = ParsedFunction
    expression = '${prefactor}*${U}*x*(${l}-x)'
  []
[]

[Problem]
  type = NavierStokesProblem
  mass_matrix = 'mass'
  extra_tag_matrices = 'mass'
[]

[Preconditioning]
  [FSP]
    type = FSP
    topsplit = 'up'
    [up]
      splitting = 'u p'
      splitting_type  = schur
      petsc_options_iname = '-pc_fieldsplit_schur_fact_type  -pc_fieldsplit_schur_precondition -ksp_gmres_restart -ksp_type -ksp_pc_side -ksp_rtol'
      petsc_options_value = 'full                            self                              300                fgmres    right        1e-4'
    []
      [u]
        vars = 'vel_x vel_y'
        # petsc_options = '-ksp_converged_reason'
        petsc_options_iname = '-pc_type -pc_hypre_type -ksp_type -ksp_rtol -ksp_gmres_restart -ksp_pc_side'
        petsc_options_value = 'hypre    boomeramg      gmres     1e-2      300                right'
      []
      [p]
        vars = 'p'
        petsc_options = '-pc_lsc_scale_diag -ksp_converged_reason'# -lsc_ksp_converged_reason -lsc_ksp_monitor_true_residual
        petsc_options_iname = '-ksp_type -ksp_gmres_restart -ksp_rtol -pc_type -ksp_pc_side -lsc_pc_type -lsc_pc_hypre_type -lsc_ksp_type -lsc_ksp_rtol -lsc_ksp_pc_side -lsc_ksp_gmres_restart'
        petsc_options_value = 'fgmres    300                1e-2      lsc      right        hypre        boomeramg          gmres         1e-1          right            300'
      []
  []
[]

[Postprocessors]
  [pavg]
    type = ElementAverageValue
    variable = p
  []
[]

[Correctors]
  [set_pressure]
    type = NSPressurePin
    pin_type = 'average'
    variable = p
    pressure_average = 'pavg'
  []
[]

[Executioner]
  type = Steady
  solve_type = NEWTON
[]

[Outputs]
  [exo]
    type = Exodus
    execute_on = 'final'
    hide = 'pavg'
  []
[]

(modules/solid_mechanics/test/tests/tensile/random_smoothed.i)

# Plasticity models:
# Smoothed tensile with strength = 1MPa
#
# Lame lambda = 1GPa.  Lame mu = 1.3GPa
#
# A line of elements is perturbed randomly, and return to the yield surface at each quadpoint is checked

[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1000
  ny = 1234
  nz = 1
  xmin = 0
  xmax = 1000
  ymin = 0
  ymax = 1234
  zmin = 0
  zmax = 1
[]

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]

[Physics/SolidMechanics/QuasiStatic]
  [./all]
    add_variables = true
    incremental = true
    strain = finite
    generate_output = 'stress_xx stress_xy stress_xz stress_yy stress_yz stress_zz'
  [../]
[]

[ICs]
  [./x]
    type = RandomIC
    min = -0.1
    max = 0.1
    variable = disp_x
  [../]
  [./y]
    type = RandomIC
    min = -0.1
    max = 0.1
    variable = disp_y
  [../]
  [./z]
    type = RandomIC
    min = -0.1
    max = 0.1
    variable = disp_z
  [../]
[]

[BCs]
  [./x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'front back'
    function = '0'
  [../]
  [./y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'front back'
    function = '0'
  [../]
  [./z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'front back'
    function = '0'
  [../]
[]

[AuxVariables]
  [./f0]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./int0]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./iter]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]

[AuxKernels]
  [./f0]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 0
    variable = f0
  [../]
  [./int0]
    type = MaterialStdVectorAux
    property = plastic_internal_parameter
    factor = 1E6
    index = 0
    variable = int0
  [../]
  [./iter]
    type = MaterialRealAux
    property = plastic_NR_iterations
    variable = iter
  [../]
[]

[Postprocessors]
  [./tot_iters]
    type = ElementIntegralMaterialProperty
    mat_prop = plastic_NR_iterations
    outputs = console
  [../]
  [./raw_f0]
    type = ElementExtremeValue
    variable = f0
    outputs = console
  [../]
  [./iter]
    type = ElementExtremeValue
    variable = iter
    outputs = console
  [../]
  [./f0]
    type = FunctionValuePostprocessor
    function = should_be_zero0_fcn
  [../]
[]

[Functions]
  [./should_be_zero0_fcn]
    type = ParsedFunction
    expression = 'if(a<1E-1,0,a)'
    symbol_names = 'a'
    symbol_values = 'raw_f0'
  [../]
[]

[UserObjects]
  [./ts]
    type = SolidMechanicsHardeningConstant
    value = 1E6
  [../]
  [./tensile]
    type = SolidMechanicsPlasticTensile
    tensile_strength = ts
    tensile_tip_smoother = 1E5
    yield_function_tolerance = 1.0E-1
    internal_constraint_tolerance = 1.0E-7
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    block = 0
    fill_method = symmetric_isotropic
    C_ijkl = '1E9 1.3E9'
  [../]
  [./multi]
    type = ComputeMultiPlasticityStress
    block = 0
    ep_plastic_tolerance = 1E-7
    plastic_models = 'tensile'
    max_NR_iterations = 20
    min_stepsize = 1E-4
    max_stepsize_for_dumb = 1E-3
    debug_fspb = crash
    debug_jac_at_stress = '10 0 0 0 10 0 0 0 10'
    debug_jac_at_pm = '1 1 1 1'
    debug_jac_at_intnl = '1 1 1 1'
    debug_stress_change = 1E1
    debug_pm_change = '1E-6 1E-6 1E-6 1E-6'
    debug_intnl_change = '1E-6 1E-6 1E-6 1E-6'
  [../]
[]


[Executioner]
  end_time = 1
  dt = 1
  type = Transient
[]


[Outputs]
  file_base = random_smoothed
  exodus = false
  [./csv]
    type = CSV
    [../]
[]

(test/tests/time_integrators/bdf2/bdf2_adapt.i)

[Mesh]
  type = GeneratedMesh
  dim = 2
  xmin = -1
  xmax = 1
  ymin = -1
  ymax = 1
  nx = 4
  ny = 4
  elem_type = QUAD4
[]

[Variables]
  active = 'u'

  [./u]
    order = FIRST
    family = LAGRANGE

    [./InitialCondition]
      type = ConstantIC
      value = 0
    [../]
  [../]
[]

[Functions]
  [./forcing_fn]
    type = ParsedFunction
    # dudt = 3*t^2*(x^2 + y^2)
    expression = 3*t*t*((x*x)+(y*y))-(4*t*t*t)
  [../]

  [./exact_fn]
    type = ParsedFunction
    expression = t*t*t*((x*x)+(y*y))
  [../]
[]

[Kernels]
  active = 'diff ie ffn'

  [./ie]
    type = TimeDerivative
    variable = u
  [../]

  [./diff]
    type = Diffusion
    variable = u
  [../]

  [./ffn]
    type = BodyForce
    variable = u
    function = forcing_fn
  [../]
[]

[BCs]
  active = 'all'

  [./all]
    type = FunctionDirichletBC
    variable = u
    boundary = '0 1 2 3'
    function = exact_fn
  [../]

  [./left]
    type = DirichletBC
    variable = u
    boundary = 3
    value = 0
  [../]

  [./right]
    type = DirichletBC
    variable = u
    boundary = 1
    value = 1
  [../]
[]

[Postprocessors]
  [./l2_err]
    type = ElementL2Error
    variable = u
    function = exact_fn
  [../]
[]

[Executioner]
  type = Transient
  scheme = 'bdf2'

  solve_type = 'PJFNK'

  start_time = 0.0
  num_steps = 5
  dt = 0.25

  [./Adaptivity]
    refine_fraction = 0.2
    coarsen_fraction = 0.3
    max_h_level = 4
  [../]
[]

[Outputs]
  execute_on = 'timestep_end'
  exodus = true
[]

(test/tests/functions/parsed/steady.i)

[Mesh]
  type = GeneratedMesh
  dim = 2
  nx = 10
  ny = 10
[]

[Variables]
  [./u]
    initial_condition = 2
  [../]
[]

[Functions]
  [./right_bc]
    type = ParsedFunction
    expression = a+1
    symbol_values = left_avg
    symbol_names = a
  [../]
  [./left_bc]
    type = ParsedFunction
    expression = a
    symbol_values = left_avg
    symbol_names = a
  [../]
[]

[Kernels]
  [./diff]
    type = Diffusion
    variable = u
  [../]
[]

[BCs]
  [./left]
    type = FunctionDirichletBC
    variable = u
    boundary = left
    function = left_bc
  [../]
  [./right]
    type = FunctionDirichletBC
    variable = u
    boundary = 'right right'
    function = right_bc
  [../]
[]

[Postprocessors]
  [./left_avg]
    type = SideAverageValue
    variable = u
    execute_on = initial
    boundary = left
  [../]
[]

[Executioner]
  type = Steady

  solve_type = 'PJFNK'

  petsc_options_iname = '-pc_type -pc_hypre_type'
  petsc_options_value = 'hypre boomeramg'
[]

[Outputs]
  exodus = true
[]

(test/tests/geomsearch/3d_moving_penetration/pl_test1tt.i)

[GlobalParams]
  order = FIRST
  family = LAGRANGE
[]

[Mesh]
  file = pl_test1tt.e
  displacements = 'disp_x disp_y disp_z'
[]

[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
[]

[AuxVariables]
  [./distance]
  [../]
  [./tangential_distance]
  [../]
  [./normal_x]
  [../]
  [./normal_y]
  [../]
  [./normal_z]
  [../]
  [./closest_point_x]
  [../]
  [./closest_point_y]
  [../]
  [./closest_point_z]
  [../]
  [./element_id]
  [../]
  [./side]
  [../]
[]

[Kernels]
  [./diff_x]
    type = Diffusion
    variable = disp_x
  [../]
  [./diff_y]
    type = Diffusion
    variable = disp_y
  [../]
  [./diff_z]
    type = Diffusion
    variable = disp_z
  [../]
[]

[AuxKernels]
  [./penetrate]
    type = PenetrationAux
    variable = distance
    boundary = 11            #secondary
    paired_boundary = 12     #primary
    tangential_tolerance = 0.1
  [../]

  [./penetrate2]
    type = PenetrationAux
    variable = distance
    boundary = 12            #secondary
    paired_boundary = 11     #primary
    tangential_tolerance = 0.1
  [../]

  [./penetrate3]
    type = PenetrationAux
    variable = tangential_distance
    boundary = 11
    paired_boundary = 12
    quantity = tangential_distance
  [../]

  [./penetrate4]
    type = PenetrationAux
    variable = tangential_distance
    boundary = 12
    paired_boundary = 11
    quantity = tangential_distance
  [../]

  [./penetrate5]
    type = PenetrationAux
    variable = normal_x
    boundary = 11
    paired_boundary = 12
    quantity = normal_x
  [../]

  [./penetrate6]
    type = PenetrationAux
    variable = normal_x
    boundary = 12
    paired_boundary = 11
    quantity = normal_x
  [../]

  [./penetrate7]
    type = PenetrationAux
    variable = normal_y
    boundary = 11
    paired_boundary = 12
    quantity = normal_y
  [../]

  [./penetrate8]
    type = PenetrationAux
    variable = normal_y
    boundary = 12
    paired_boundary = 11
    quantity = normal_y
  [../]

  [./penetrate9]
    type = PenetrationAux
    variable = normal_z
    boundary = 11
    paired_boundary = 12
    quantity = normal_z
  [../]

  [./penetrate10]
    type = PenetrationAux
    variable = normal_z
    boundary = 12
    paired_boundary = 11
    quantity = normal_z
  [../]

  [./penetrate11]
    type = PenetrationAux
    variable = closest_point_x
    boundary = 11
    paired_boundary = 12
    quantity = closest_point_x
  [../]

  [./penetrate12]
    type = PenetrationAux
    variable = closest_point_x
    boundary = 12
    paired_boundary = 11
    quantity = closest_point_x
  [../]

  [./penetrate13]
    type = PenetrationAux
    variable = closest_point_y
    boundary = 11
    paired_boundary = 12
    quantity = closest_point_y
  [../]

  [./penetrate14]
    type = PenetrationAux
    variable = closest_point_y
    boundary = 12
    paired_boundary = 11
    quantity = closest_point_y
  [../]

  [./penetrate15]
    type = PenetrationAux
    variable = closest_point_z
    boundary = 11
    paired_boundary = 12
    quantity = closest_point_z
  [../]

  [./penetrate16]
    type = PenetrationAux
    variable = closest_point_z
    boundary = 12
    paired_boundary = 11
    quantity = closest_point_z
  [../]

  [./penetrate17]
    type = PenetrationAux
    variable = element_id
    boundary = 11
    paired_boundary = 12
    quantity = element_id
  [../]

  [./penetrate18]
    type = PenetrationAux
    variable = element_id
    boundary = 12
    paired_boundary = 11
    quantity = element_id
  [../]

  [./penetrate19]
    type = PenetrationAux
    variable = side
    boundary = 11
    paired_boundary = 12
    quantity = side
  [../]

  [./penetrate20]
    type = PenetrationAux
    variable = side
    boundary = 12
    paired_boundary = 11
    quantity = side
  [../]
[]

[BCs]
  [./b1x]
    type = DirichletBC
    variable = disp_x
    boundary = 1
    value = 0
  [../]

  [./b1y]
    type = DirichletBC
    variable = disp_y
    boundary = 1
    value = 0
  [../]

  [./b1z]
    type = DirichletBC
    variable = disp_z
    boundary = 1
    value = 0
  [../]

  [./b2x]
    type = DirichletBC
    variable = disp_x
    boundary = 2
    value = 0
  [../]

  [./b2y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 2
    function = disp_y
  [../]

  [./b2z]
    type = DirichletBC
    variable = disp_z
    boundary = 2
    value = 0
  [../]
[]

[Functions]
  [./disp_y]
    type = PiecewiseLinear
    x = '0.0 0.25 0.75 1.0'
    y = '0.0 0.7 -0.7  0.0'
  [../]
[]

[Executioner]
  type = Transient

  solve_type = 'PJFNK'
  petsc_options = '-snes_ksp_ew'

  nl_rel_tol = 1e-9
  l_max_its = 10

  start_time = 0.0
  dt = 0.05
  end_time = 1.0
[]

[Outputs]
  file_base = pl_test1tt_out
  exodus = true
[]

(modules/solid_mechanics/test/tests/multi/three_surface01.i)

# Plasticit models:
# SimpleTester0 with a = 0 and b = 1 and strength = 1
# SimpleTester1 with a = 1 and b = 0 and strength = 1
# SimpleTester2 with a = 1 and b = 1 and strength = 1.5
#
# Lame lambda = 0 (Poisson=0).  Lame mu = 0.5E6
#
# A single element is stretched by 0E-6m in y direction and 1.5E-6 in z direction.
# trial stress_yy = 0 and stress_zz = 1.5
#
# Then SimpleTester0 should activate and the algorithm will return to
# stress_yy = 0, stress_zz = 1
# internal0 should be 0.5, and others zero

[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]


[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
[]

[Kernels]
  [SolidMechanics]
    displacements = 'disp_x disp_y disp_z'
  [../]
[]


[BCs]
  [./x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'front back'
    function = '0E-6*x'
  [../]
  [./y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'front back'
    function = '0E-6*y'
  [../]
  [./z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'front back'
    function = '1.5E-6*z'
  [../]
[]

[AuxVariables]
  [./stress_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f0]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f1]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f2]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./int0]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./int1]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./int2]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]

[AuxKernels]
  [./stress_xx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xx
    index_i = 0
    index_j = 0
  [../]
  [./stress_xy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xy
    index_i = 0
    index_j = 1
  [../]
  [./stress_xz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xz
    index_i = 0
    index_j = 2
  [../]
  [./stress_yy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yy
    index_i = 1
    index_j = 1
  [../]
  [./stress_yz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yz
    index_i = 1
    index_j = 2
  [../]
  [./stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zz
    index_i = 2
    index_j = 2
  [../]
  [./f0]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 0
    variable = f0
  [../]
  [./f1]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 1
    variable = f1
  [../]
  [./f2]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 2
    variable = f2
  [../]
  [./int0]
    type = MaterialStdVectorAux
    property = plastic_internal_parameter
    factor = 1E6
    index = 0
    variable = int0
  [../]
  [./int1]
    type = MaterialStdVectorAux
    property = plastic_internal_parameter
    factor = 1E6
    index = 1
    variable = int1
  [../]
  [./int2]
    type = MaterialStdVectorAux
    property = plastic_internal_parameter
    factor = 1E6
    index = 2
    variable = int2
  [../]
[]

[Postprocessors]
  [./s_xx]
    type = PointValue
    point = '0 0 0'
    variable = stress_xx
  [../]
  [./s_xy]
    type = PointValue
    point = '0 0 0'
    variable = stress_xy
  [../]
  [./s_xz]
    type = PointValue
    point = '0 0 0'
    variable = stress_xz
  [../]
  [./s_yy]
    type = PointValue
    point = '0 0 0'
    variable = stress_yy
  [../]
  [./s_yz]
    type = PointValue
    point = '0 0 0'
    variable = stress_yz
  [../]
  [./s_zz]
    type = PointValue
    point = '0 0 0'
    variable = stress_zz
  [../]
  [./f0]
    type = PointValue
    point = '0 0 0'
    variable = f0
  [../]
  [./f1]
    type = PointValue
    point = '0 0 0'
    variable = f1
  [../]
  [./f2]
    type = PointValue
    point = '0 0 0'
    variable = f2
  [../]
  [./int0]
    type = PointValue
    point = '0 0 0'
    variable = int0
  [../]
  [./int1]
    type = PointValue
    point = '0 0 0'
    variable = int1
  [../]
  [./int2]
    type = PointValue
    point = '0 0 0'
    variable = int2
  [../]
[]

[UserObjects]
  [./simple0]
    type = SolidMechanicsPlasticSimpleTester
    a = 0
    b = 1
    strength = 1
    yield_function_tolerance = 1.0E-9
    internal_constraint_tolerance = 1.0E-9
  [../]
  [./simple1]
    type = SolidMechanicsPlasticSimpleTester
    a = 1
    b = 0
    strength = 1
    yield_function_tolerance = 1.0E-9
    internal_constraint_tolerance = 1.0E-9
  [../]
  [./simple2]
    type = SolidMechanicsPlasticSimpleTester
    a = 1
    b = 1
    strength = 1.5
    yield_function_tolerance = 1.0E-9
    internal_constraint_tolerance = 1.0E-9
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    block = 0
    fill_method = symmetric_isotropic
    C_ijkl = '0 0.5E6'
  [../]
  [./strain]
    type = ComputeFiniteStrain
    block = 0
    displacements = 'disp_x disp_y disp_z'
  [../]
  [./multi]
    type = ComputeMultiPlasticityStress
    block = 0
    ep_plastic_tolerance = 1E-9
    plastic_models = 'simple0 simple1 simple2'
    max_NR_iterations = 2
    min_stepsize = 1
    debug_fspb = crash
    debug_jac_at_stress = '10 0 0 0 10 0 0 0 10'
    debug_jac_at_pm = '1 1'
    debug_jac_at_intnl = '1 1'
    debug_stress_change = 1E-5
    debug_pm_change = '1E-6 1E-6'
    debug_intnl_change = '1E-6 1E-6'
  [../]
[]


[Executioner]
  end_time = 1
  dt = 1
  type = Transient
[]


[Outputs]
  file_base = three_surface01
  exodus = false
  [./csv]
    type = CSV
    [../]
[]

(modules/solid_mechanics/test/tests/tensile/small_deform4.i)

# checking for small deformation
# A single element is stretched by 0.75E-6m in the z and x directions
# This causes the return direction to be along the hypersurface sigma_I = sigma_II
# tensile_strength is set to 1Pa, tip_smoother = 0, edge_smoother = 25degrees
# Then A + B + C = 0.609965
#
# The final stress should have meanstress = 0.680118 and bar(sigma) = 0.52443, and sigma_zz = sigma_xx = 0.982896

[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]


[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]

[Physics/SolidMechanics/QuasiStatic]
  [./all]
    add_variables = true
    incremental = true
    strain = finite
    generate_output = 'stress_xx stress_xy stress_xz stress_yy stress_yz stress_zz'
  [../]
[]

[BCs]
  [./x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'front back'
    function = '0.75E-6*x'
  [../]
  [./y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'front back'
    function = '0'
  [../]
  [./z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'front back'
    function = '0.75E-6*z'
  [../]
[]

[AuxVariables]
  [./yield_fcn]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]

[AuxKernels]
  [./yield_fcn_auxk]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 0
    variable = yield_fcn
  [../]
[]

[Postprocessors]
  [./s_xx]
    type = PointValue
    point = '0 0 0'
    variable = stress_xx
  [../]
  [./s_xy]
    type = PointValue
    point = '0 0 0'
    variable = stress_xy
  [../]
  [./s_xz]
    type = PointValue
    point = '0 0 0'
    variable = stress_xz
  [../]
  [./s_yy]
    type = PointValue
    point = '0 0 0'
    variable = stress_yy
  [../]
  [./s_yz]
    type = PointValue
    point = '0 0 0'
    variable = stress_yz
  [../]
  [./s_zz]
    type = PointValue
    point = '0 0 0'
    variable = stress_zz
  [../]
  [./f]
    type = PointValue
    point = '0 0 0'
    variable = yield_fcn
  [../]
[]

[UserObjects]
  [./ts]
    type = SolidMechanicsHardeningConstant
    value = 1
  [../]
  [./mc]
    type = SolidMechanicsPlasticTensile
    tensile_strength = ts
    yield_function_tolerance = 1E-6
    tensile_tip_smoother = 0.0
    internal_constraint_tolerance = 1E-5
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    block = 0
    fill_method = symmetric_isotropic
    C_ijkl = '0 2.0E6'
  [../]
  [./mc]
    type = ComputeMultiPlasticityStress
    block = 0
    ep_plastic_tolerance = 1E-5
    plastic_models = mc
    debug_fspb = crash
  [../]
[]


[Executioner]
  end_time = 1
  dt = 1
  type = Transient
[]


[Outputs]
  file_base = small_deform4
  exodus = false
  [./csv]
    type = CSV
    [../]
[]

(test/tests/neml2/torchscript/heat_conduction.i)

[Mesh]
  type = GeneratedMesh
  dim = 1
  nx = 10
  xmin = '${units 0 m}'
  xmax = '${units 10 m}'
[]

[NEML2]
  input = 'thermal_conductivity.i'
  [thermal_conductivity_model]
    model = 'kappa'

    moose_input_types = 'VARIABLE'
    moose_inputs = 'T'
    neml2_inputs = 'forces/T'

    moose_output_types = 'MATERIAL'
    neml2_outputs = 'state/k_T'
    moose_outputs = 'k_T'

    moose_derivative_types = 'MATERIAL'
    neml2_derivatives = 'state/k_T forces/T'
    moose_derivatives = 'dk_T/dT'

    export_outputs = 'k_T dK_T/dT'
    export_output_targets = 'exodus; exodus'
  []
[]

[Variables]
  [T]
    initial_condition = '${units 300 K}'
  []
[]

[BCs]
  [constant_temp_left]
    type = FunctionDirichletBC
    function = 'ramping_T'
    boundary = 'left'
    variable = T
  []
  [constant_temp_right]
    type = DirichletBC
    boundary = 'right'
    value = '${units 300 K}'
    variable = T
  []
[]

[Functions]
  [ramping_T]
    type = ParsedFunction
    expression = '300 + 1200*t/5' # Ramp from 300 K -> 1500 K over 5 seconds
  []
[]

[Kernels]
  [dT_dt]
    type = TimeDerivative
    variable = T
  []
  [head_conduction]
    type = MatDiffusion
    variable = T
    diffusivity = 'k_T'
  []
[]

[Executioner]
  type = Transient
  scheme = BDF2
  solve_type = NEWTON
  automatic_scaling = true
  num_steps = 50
  dt = 0.1
  nl_abs_tol = 1e-12
  nl_rel_tol = 1e-10
[]

[Outputs]
  exodus = true
  perf_graph = true
[]

(modules/combined/test/tests/phase_field_fracture/crack2d_iso.i)

#This input uses PhaseField-Nonconserved Action to add phase field fracture bulk rate kernels
[Mesh]
  [gen]
    type = GeneratedMeshGenerator
    dim = 2
    nx = 20
    ny = 10
    ymax = 0.5
  []
  [./noncrack]
    type = BoundingBoxNodeSetGenerator
    new_boundary = noncrack
    bottom_left = '0.5 0 0'
    top_right = '1 0 0'
    input = gen
  [../]
[]

[GlobalParams]
  displacements = 'disp_x disp_y'
[]

[Modules]
  [./PhaseField]
    [./Nonconserved]
      [./c]
        free_energy = F
        kappa = kappa_op
        mobility = L
      [../]
    [../]
  [../]
[]
[Physics]
  [./SolidMechanics]
    [./QuasiStatic]
      [./mech]
        add_variables = true
        strain = SMALL
        additional_generate_output = 'stress_yy'
        save_in = 'resid_x resid_y'
      [../]
    [../]
  [../]
[]

[AuxVariables]
  [./resid_x]
  [../]
  [./resid_y]
  [../]
[]

[Kernels]
  [./solid_x]
    type = PhaseFieldFractureMechanicsOffDiag
    variable = disp_x
    component = 0
    c = c
  [../]
  [./solid_y]
    type = PhaseFieldFractureMechanicsOffDiag
    variable = disp_y
    component = 1
    c = c
  [../]
[]

[BCs]
  [./ydisp]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = top
    function = 't'
  [../]
  [./yfix]
    type = DirichletBC
    variable = disp_y
    boundary = noncrack
    value = 0
  [../]
  [./xfix]
    type = DirichletBC
    variable = disp_x
    boundary = top
    value = 0
  [../]
[]

[Materials]
  [./pfbulkmat]
    type = GenericConstantMaterial
    prop_names = 'gc_prop l visco'
    prop_values = '1e-3 0.04 1e-4'
  [../]
  [./define_mobility]
    type = ParsedMaterial
    material_property_names = 'gc_prop visco'
    property_name = L
    expression = '1.0/(gc_prop * visco)'
  [../]
  [./define_kappa]
    type = ParsedMaterial
    material_property_names = 'gc_prop l'
    property_name = kappa_op
    expression = 'gc_prop * l'
  [../]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    C_ijkl = '120.0 80.0'
    fill_method = symmetric_isotropic
  [../]
  [./damage_stress]
    type = ComputeLinearElasticPFFractureStress
    c = c
    E_name = 'elastic_energy'
    D_name = 'degradation'
    F_name = 'local_fracture_energy'
    decomposition_type = strain_spectral
  [../]
  [./degradation]
    type = DerivativeParsedMaterial
    property_name = degradation
    coupled_variables = 'c'
    expression = '(1.0-c)^2*(1.0 - eta) + eta'
    constant_names       = 'eta'
    constant_expressions = '0.0'
    derivative_order = 2
  [../]
  [./local_fracture_energy]
    type = DerivativeParsedMaterial
    property_name = local_fracture_energy
    coupled_variables = 'c'
    material_property_names = 'gc_prop l'
    expression = 'c^2 * gc_prop / 2 / l'
    derivative_order = 2
  [../]
  [./fracture_driving_energy]
    type = DerivativeSumMaterial
    coupled_variables = c
    sum_materials = 'elastic_energy local_fracture_energy'
    derivative_order = 2
    property_name = F
  [../]
[]

[Postprocessors]
  [./resid_x]
    type = NodalSum
    variable = resid_x
    boundary = 2
  [../]
  [./resid_y]
    type = NodalSum
    variable = resid_y
    boundary = 2
  [../]
[]

[Preconditioning]
  [./smp]
    type = SMP
    full = true
  [../]
[]

[Executioner]
  type = Transient

  solve_type = PJFNK
  petsc_options_iname = '-pc_type -ksp_gmres_restart -sub_ksp_type -sub_pc_type -pc_asm_overlap'
  petsc_options_value = 'asm      31                  preonly       lu           1'

  nl_rel_tol = 1e-8
  l_max_its = 10
  nl_max_its = 10

  dt = 1e-4
  dtmin = 1e-4
  num_steps = 2
[]

[Outputs]
  exodus = true
[]

(python/peacock/tests/common/transient_big.i)

###########################################################
# This is a simple test with a time-dependent problem
# demonstrating the use of a "Transient" Executioner.
#
# @Requirement F1.10
###########################################################


[Mesh]
  type = GeneratedMesh
  dim = 2
  xmin = -1
  xmax = 1
  ymin = -1
  ymax = 1
  nx = 10
  ny = 10
  elem_type = QUAD4
  uniform_refine = 2
[]

[Variables]
  active = 'u'

  [./u]
    order = FIRST
    family = LAGRANGE

    [./InitialCondition]
      type = ConstantIC
      value = 0
    [../]
  [../]
[]

[Functions]
  [./forcing_fn]
    type = ParsedFunction
    # dudt = 3*t^2*(x^2 + y^2)
    expression = 3*t*t*((x*x)+(y*y))-(4*t*t*t)
  [../]

  [./exact_fn]
    type = ParsedFunction
    expression = t*t*t*((x*x)+(y*y))
  [../]
[]

[Kernels]
  active = 'diff ie ffn'

  [./ie]
    type = TimeDerivative
    variable = u
  [../]

  [./diff]
    type = Diffusion
    variable = u
  [../]

  [./ffn]
    type = BodyForce
    variable = u
    function = forcing_fn
  [../]
[]

[BCs]
  active = 'all'

  [./all]
    type = FunctionDirichletBC
    variable = u
    boundary = '0 1 2 3'
    function = exact_fn
  [../]

  [./left]
    type = DirichletBC
    variable = u
    boundary = 3
    value = 0
  [../]

  [./right]
    type = DirichletBC
    variable = u
    boundary = 1
    value = 1
  [../]
[]

[Postprocessors]
  [./l2_err]
    type = ElementL2Error
    variable = u
    function = exact_fn
  [../]

  [./dt]
    type = TimestepSize
  [../]
[]

[Executioner]
  type = Transient
  scheme = 'implicit-euler'

  # Preconditioned JFNK (default)
  solve_type = 'PJFNK'

  start_time = 0.0
  num_steps = 5
  dt = 0.1
[]

[Outputs]
  file_base = out_transient
  exodus = true
[]

(test/tests/bcs/nodal_normals/cylinder_hexes_1st_2nd.i)

# First order normals on second order mesh
[Mesh]
  file = cylinder-hexes-2nd.e
[]

[Functions]
  [./all_bc_fn]
    type = ParsedFunction
    expression = x*x+y*y
  [../]

  [./f_fn]
    type = ParsedFunction
    expression = -4
  [../]
[]

[NodalNormals]
  boundary = '1'
  corner_boundary = 100
  order = FIRST
[]

[Variables]
  [./u]
  [../]
[]

[Kernels]
  [./diff]
    type = Diffusion
    variable = u
  [../]
  [./ffn]
    type = BodyForce
    variable = u
    function = f_fn
  [../]
[]

[BCs]
  [./all]
    type = FunctionDirichletBC
    variable = u
    boundary = '1'
    function = 'all_bc_fn'
  [../]
[]

[Executioner]
  type = Steady

  solve_type = 'PJFNK'
  nl_rel_tol = 1e-13
[]

[Outputs]
  execute_on = 'timestep_end'
  exodus = true
[]

(modules/peridynamics/test/tests/simple_tests/2D_regularD_variableH_OSPD.i)

# Test for ordinary state-based peridynamic formulation
# for regular grid from generated mesh with varying bond constants
# partial Jacobian
# Jacobian from bond-based formulation is used for preconditioning

# Square plate with Dirichlet boundary conditions applied
# at the left, top and bottom edges

[GlobalParams]
  displacements = 'disp_x disp_y'
[]

[Mesh]
  type = PeridynamicsMesh
  horizon_number = 3

  [./gmg]
    type = GeneratedMeshGenerator
    dim = 2
    nx = 4
    ny = 4
  [../]
  [./gpd]
    type = MeshGeneratorPD
    input = gmg
    retain_fe_mesh = false
  [../]
[]

[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
[]

[BCs]
  [./left_x]
    type = DirichletBC
    variable = disp_x
    boundary = 1003
    value = 0.0
  [../]
  [./top_y]
    type = DirichletBC
    variable = disp_y
    boundary = 1002
    value = 0.0
  [../]
  [./bottom_y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 1000
    function = '-0.001*t'
  [../]
[]

[Modules/Peridynamics/Mechanics/Master]
  [./all]
    formulation = ORDINARY_STATE
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeIsotropicElasticityTensor
    youngs_modulus = 2e5
    poissons_ratio = 0.0
  [../]

  [./force_density]
    type = ComputeSmallStrainVariableHorizonMaterialOSPD
  [../]
[]

[Preconditioning]
  [./SMP]
    type = SMP
    full = true
  [../]
[]

[Executioner]
  type = Transient
  solve_type = PJFNK
  line_search = none
  start_time = 0
  end_time = 1
[]

[Outputs]
  file_base = 2D_regularD_variableH_OSPD
  exodus = true
[]

(modules/solid_mechanics/test/tests/stress_recovery/stress_concentration/stress_concentration.i)

[GlobalParams]
  displacements = 'disp_x disp_y'
[]

[Mesh]
  type = FileMesh
  file = geo.msh
[]

[Variables]
  [disp_x]
  []
  [disp_y]
  []
[]

[AuxVariables]
  [stress_xx]
    order = CONSTANT
    family = MONOMIAL
  []
  [stress_yy]
    order = CONSTANT
    family = MONOMIAL
  []
  [stress_xx_recovered]
    order = FIRST
    family = LAGRANGE
  []
  [stress_yy_recovered]
    order = FIRST
    family = LAGRANGE
  []
[]

[AuxKernels]
  [stress_xx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xx
    index_i = 0
    index_j = 0
    execute_on = 'timestep_end'
  []
  [stress_yy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yy
    index_i = 1
    index_j = 1
    execute_on = 'timestep_end'
  []
  [stress_xx_recovered]
    type = NodalPatchRecoveryAux
    variable = stress_xx_recovered
    nodal_patch_recovery_uo = stress_xx_patch
    execute_on = 'TIMESTEP_END'
  []
  [stress_yy_recovered]
    type = NodalPatchRecoveryAux
    variable = stress_yy_recovered
    nodal_patch_recovery_uo = stress_yy_patch
    execute_on = 'TIMESTEP_END'
  []
[]

[Kernels]
  [solid_x]
    type = StressDivergenceTensors
    variable = disp_x
    component = 0
  []
  [solid_y]
    type = StressDivergenceTensors
    variable = disp_y
    component = 1
  []
[]

[Materials]
  [strain]
    type = ComputeSmallStrain
  []
  [Cijkl]
    type = ComputeIsotropicElasticityTensor
    poissons_ratio = 0.3
    youngs_modulus = 2.1e+5
  []
  [stress]
    type = ComputeLinearElasticStress
  []
[]

[BCs]
  [top_xdisp]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'top'
    function = 0
  []
  [top_ydisp]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'top'
    function = 0.01
  []
  [bottom_xdisp]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'bottom'
    function = 0
  []
  [bottom_ydisp]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'bottom'
    function = 0
  []
[]

[UserObjects]
  [stress_xx_patch]
    type = NodalPatchRecoveryMaterialProperty
    patch_polynomial_order = FIRST
    property = 'stress'
    component = '0 0'
    execute_on = 'TIMESTEP_END'
  []
  [stress_yy_patch]
    type = NodalPatchRecoveryMaterialProperty
    patch_polynomial_order = FIRST
    property = 'stress'
    component = '1 1'
    execute_on = 'TIMESTEP_END'
  []
[]

[Preconditioning]
  [smp]
    type = SMP
    full = true
    ksp_norm = default
  []
[]

[Executioner]
  type = Steady
  solve_type = NEWTON
  petsc_options_iname = '-ksp_type -pc_type'
  petsc_options_value = 'preonly   lu'
  nl_rel_tol = 1e-14
  l_max_its = 100
  nl_max_its = 30
[]

[Outputs]
  time_step_interval = 1
  exodus = true
  print_linear_residuals = false
[]

(modules/solid_mechanics/test/tests/multiple_two_parameter_plasticity/dp_then_wp.i)

# Use ComputeMultipleInelasticStress with two inelastic models: CappedDruckerPrager and CappedWeakPlane.
# The relative_tolerance and absolute_tolerance parameters are set very large so that
# only one iteration is performed.  This is the algorithm that FLAC uses to model
# jointed rocks, only Capped-Mohr-Coulomb is used instead of CappedDruckerPrager
#
# initial_stress = diag(1E3, 1E3, 1E3)
# The CappedDruckerPrager has tensile strength 3E2 and large cohesion,
# so the stress initially returns to diag(1E2, 1E2, 1E2)
# The CappedWeakPlane has tensile strength zero and large cohesion,
# so the stress returns to diag(1E2 - v/(1-v)*1E2, 1E2 - v/(1-v)*1E2, 0)
# where v=0.2 is the Poisson's ratio

[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]


[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]

[Physics/SolidMechanics/QuasiStatic]
  [./all]
    add_variables = true
    incremental = true
    eigenstrain_names = ini_stress
    generate_output = 'stress_xx stress_xy stress_xz stress_yy stress_yz stress_zz'
  [../]
[]

[BCs]
  [./x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'front back'
    function = 0
  [../]
  [./y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'front back'
    function = 0
  [../]
  [./z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'front back'
    function = 0
  [../]
[]

[AuxVariables]
  [./yield_fcn_dp]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./yield_fcn_wp]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]

[AuxKernels]
  [./yield_fcn_dp_auxk]
    type = MaterialStdVectorAux
    index = 1    # this is the tensile yield function - it should be zero
    property = cdp_plastic_yield_function
    variable = yield_fcn_dp
  [../]
  [./yield_fcn_wp_auxk]
    type = MaterialStdVectorAux
    index = 1    # this is the tensile yield function - it should be zero
    property = cwp_plastic_yield_function
    variable = yield_fcn_wp
  [../]
[]

[Postprocessors]
  [./s_xx]
    type = PointValue
    point = '0 0 0'
    variable = stress_xx
  [../]
  [./s_xy]
    type = PointValue
    point = '0 0 0'
    variable = stress_xy
  [../]
  [./s_xz]
    type = PointValue
    point = '0 0 0'
    variable = stress_xz
  [../]
  [./s_yy]
    type = PointValue
    point = '0 0 0'
    variable = stress_yy
  [../]
  [./s_yz]
    type = PointValue
    point = '0 0 0'
    variable = stress_yz
  [../]
  [./s_zz]
    type = PointValue
    point = '0 0 0'
    variable = stress_zz
  [../]
  [./f_dp]
    type = PointValue
    point = '0 0 0'
    variable = yield_fcn_dp
  [../]
  [./f_wp]
    type = PointValue
    point = '0 0 0'
    variable = yield_fcn_wp
  [../]
[]

[UserObjects]
  [./ts]
    type = SolidMechanicsHardeningConstant
    value = 300
  [../]
  [./cs]
    type = SolidMechanicsHardeningConstant
    value = 1E4
  [../]
  [./mc_coh]
    type = SolidMechanicsHardeningConstant
    value = 1E4
  [../]
  [./mc_phi]
    type = SolidMechanicsHardeningConstant
    value = 20
    convert_to_radians = true
  [../]
  [./mc_psi]
    type = SolidMechanicsHardeningConstant
    value = 0
  [../]
  [./dp]
    type = SolidMechanicsPlasticDruckerPrager
    mc_cohesion = mc_coh
    mc_friction_angle = mc_phi
    mc_dilation_angle = mc_psi
    internal_constraint_tolerance = 1 # irrelevant here
    yield_function_tolerance = 1      # irrelevant here
  [../]
  [./wp_coh]
    type = SolidMechanicsHardeningConstant
    value = 1E4
  [../]
  [./wp_tanphi]
    type = SolidMechanicsHardeningConstant
    value = 0.5
  [../]
  [./wp_tanpsi]
    type = SolidMechanicsHardeningConstant
    value = 0.1111077
  [../]
  [./wp_t_strength]
    type = SolidMechanicsHardeningConstant
    value = 0
  [../]
  [./wp_c_strength]
    type = SolidMechanicsHardeningConstant
    value = 1E4
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeIsotropicElasticityTensor
    poissons_ratio = 0.2
    youngs_modulus = 1E7
  [../]
  [./ini_stress]
    type = ComputeEigenstrainFromInitialStress
    initial_stress = '1E3 0 0  0 1E3 0  0 0 1E3'
    eigenstrain_name = ini_stress
  [../]
  [./admissible]
    type = ComputeMultipleInelasticStress
    relative_tolerance = 1E4
    absolute_tolerance = 2
    inelastic_models = 'cdp cwp'
    perform_finite_strain_rotations = false
  [../]
  [./cdp]
    type = CappedDruckerPragerStressUpdate
    base_name = cdp
    DP_model = dp
    tensile_strength = ts
    compressive_strength = cs
    yield_function_tol = 1E-5
    tip_smoother = 1E3
    smoothing_tol = 1E3
  [../]
  [./cwp]
    type = CappedWeakPlaneStressUpdate
    base_name = cwp
    cohesion = wp_coh
    tan_friction_angle = wp_tanphi
    tan_dilation_angle = wp_tanpsi
    tensile_strength = wp_t_strength
    compressive_strength = wp_c_strength
    tip_smoother = 1E3
    smoothing_tol = 1E3
    yield_function_tol = 1E-5
  [../]
[]


[Executioner]
  end_time = 1
  dt = 1
  type = Transient
[]


[Outputs]
  file_base = dp_then_wp
  csv = true
[]

(modules/contact/test/tests/mortar_dynamics/block-dynamics-friction-action.i)

starting_point = 2e-1
offset = -0.19

[GlobalParams]
  displacements = 'disp_x disp_y'
[]

[Mesh]
  [file]
    type = FileMeshGenerator
    file = long-bottom-block-no-lower-d.e
  []
[]

[Variables]
  [disp_x]
    block = '1 2'
  []
  [disp_y]
    block = '1 2'
  []
[]

[ICs]
  [disp_y]
    block = 2
    variable = disp_y
    value = '${fparse starting_point + offset}'
    type = ConstantIC
  []
[]

[Kernels]
  [DynamicTensorMechanics]
    displacements = 'disp_x disp_y'
    generate_output = 'stress_xx stress_yy'
    strain = FINITE
    block = '1 2'
    stiffness_damping_coefficient = 0.05
    hht_alpha = 0.0
  []
  [inertia_x]
    type = InertialForce
    variable = disp_x
    velocity = vel_x
    acceleration = accel_x
    beta = 0.25
    gamma = 0.5
    alpha = 0
    eta = 0.0
    block = '1 2'
  []
  [inertia_y]
    type = InertialForce
    variable = disp_y
    velocity = vel_y
    acceleration = accel_y
    beta = 0.25
    gamma = 0.5
    alpha = 0
    eta = 0.0
    block = '1 2'
  []
[]

[Materials]
  [elasticity_2]
    type = ComputeIsotropicElasticityTensor
    block = '2'
    youngs_modulus = 1e6
    poissons_ratio = 0.3
  []
  [elasticity_1]
    type = ComputeIsotropicElasticityTensor
    block = '1'
    youngs_modulus = 1e8
    poissons_ratio = 0.3
  []
  [stress]
    type = ComputeFiniteStrainElasticStress
    block = '1 2'
  []
  [strain]
    type = ComputeFiniteStrain
    block = '1 2'
  []
  [density]
    type = GenericConstantMaterial
    block = '1 2'
    prop_names = 'density'
    prop_values = '7750'
  []
[]

[AuxVariables]
  [vel_x]
    block = '1 2'
  []
  [accel_x]
    block = '1 2'
  []
  [vel_y]
    block = '1 2'
  []
  [accel_y]
    block = '1 2'
  []
  [vel_z]
    block = '1 2'
  []
  [accel_z]
    block = '1 2'
  []
[]

[AuxKernels]
  [accel_x]
    type = NewmarkAccelAux
    variable = accel_x
    displacement = disp_x
    velocity = vel_x
    beta = 0.25
    execute_on = 'LINEAR timestep_end'
  []
  [vel_x]
    type = NewmarkVelAux
    variable = vel_x
    acceleration = accel_x
    gamma = 0.5
    execute_on = 'LINEAR timestep_end'
  []
  [accel_y]
    type = NewmarkAccelAux
    variable = accel_y
    displacement = disp_y
    velocity = vel_y
    beta = 0.25
    execute_on = 'LINEAR timestep_end'
  []
  [vel_y]
    type = NewmarkVelAux
    variable = vel_y
    acceleration = accel_y
    gamma = 0.5
    execute_on = 'LINEAR timestep_end'
  []
[]

[Contact]
  [mechanical]
    formulation = mortar
    model = coulomb
    primary = 20
    secondary = 10
    friction_coefficient = 0.5
    c_normal = 1.0e4
    c_tangential = 1.0e4
    mortar_dynamics = true
    newmark_beta = 0.25
    newmark_gamma = 0.5
    capture_tolerance = 1.0e-5
  []
[]

[BCs]
  [botx]
    type = DirichletBC
    variable = disp_x
    boundary = 40
    value = 0.0
  []
  [boty]
    type = DirichletBC
    variable = disp_y
    boundary = 40
    value = 0.0
  []
  [topy]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 30
    function = '${starting_point} * cos(2 * pi / 4 * t) + ${offset}'
  []
  [leftx]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 30 # 50
    function = '0' # '1e-2*t'
  []
[]

[Executioner]
  type = Transient
  end_time = 75
  dt = 0.05
  dtmin = .005
  solve_type = 'PJFNK'
  petsc_options = '-snes_converged_reason -ksp_converged_reason -pc_svd_monitor '
                  '-snes_linesearch_monitor -snes_ksp_ew'
  petsc_options_iname = '-pc_type -pc_factor_shift_type -pc_factor_shift_amount -mat_mffd_err '
  petsc_options_value = 'lu       NONZERO               1e-15                   1e-5'
  nl_max_its = 50
  line_search = 'none'
  snesmf_reuse_base = false

  [TimeIntegrator]
    type = NewmarkBeta
    beta = 0.25
    gamma = 0.5
  []
[]

[Debug]
  show_var_residual_norms = true
[]

[Outputs]
  exodus = true
[]

[VectorPostprocessors]
  [mechanical_tangential_lm]
    type = NodalValueSampler
    block = 'mechanical_secondary_subdomain'
    variable = mechanical_tangential_lm
    sort_by = 'x'
    execute_on = TIMESTEP_END
  []
[]

[Preconditioning]
  [smp]
    type = SMP
    full = true
  []
[]

(modules/solid_mechanics/test/tests/1D_axisymmetric/axisymm_gps_incremental.i)

# this test checks the asixymmetric 1D generalized plane strain formulation using incremental small strains

[GlobalParams]
  displacements = disp_x
  scalar_out_of_plane_strain = scalar_strain_yy
[]

[Problem]
  coord_type = RZ
[]

[Mesh]
  file = line.e
[]

[Variables]
  [./disp_x]
  [../]
  [./scalar_strain_yy]
    order = FIRST
    family = SCALAR
  [../]
[]

[AuxVariables]
  [./strain_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./strain_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./strain_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./temp]
    initial_condition = 580.0
  [../]
[]

[Functions]
  [./temp]
    type = PiecewiseLinear
    x = '0   1   2'
    y = '580 580 680'
  [../]
  [./disp_x]
    type = PiecewiseLinear
    x = '0 1'
    y = '0 2e-6'
  [../]
[]

[Kernels]
  [SolidMechanics]
  [../]
[]

[Physics]
  [SolidMechanics]
    [./GeneralizedPlaneStrain]
      [./gps]
      [../]
    [../]
  [../]
[]

[AuxKernels]
  [./strain_xx]
    type = RankTwoAux
    rank_two_tensor = total_strain
    variable = strain_xx
    index_i = 0
    index_j = 0
  [../]
  [./strain_yy]
    type = RankTwoAux
    rank_two_tensor = total_strain
    variable = strain_yy
    index_i = 1
    index_j = 1
  [../]
  [./strain_zz]
    type = RankTwoAux
    rank_two_tensor = total_strain
    variable = strain_zz
    index_i = 2
    index_j = 2
  [../]
  [./stress_xx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xx
    index_i = 0
    index_j = 0
    execute_on = timestep_end
  [../]
  [./stress_yy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yy
    index_i = 1
    index_j = 1
    execute_on = timestep_end
  [../]
  [./stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zz
    index_i = 2
    index_j = 2
    execute_on = timestep_end
  [../]
  [./temp]
    type = FunctionAux
    variable = temp
    function = temp
    execute_on = 'timestep_begin'
  [../]
[]

[BCs]
  [./no_x]
    type = DirichletBC
    boundary = 1
    value = 0
    variable = disp_x
  [../]
  [./disp_x]
    type = FunctionDirichletBC
    boundary = 2
    function = disp_x
    variable = disp_x
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeIsotropicElasticityTensor
    youngs_modulus = 3600
    poissons_ratio = 0.2
  [../]

  [./strain]
    type = ComputeAxisymmetric1DIncrementalStrain
    eigenstrain_names = eigenstrain
    scalar_out_of_plane_strain = scalar_strain_yy
  [../]

  [./thermal_strain]
    type = ComputeThermalExpansionEigenstrain
    thermal_expansion_coeff = 1e-8
    temperature = temp
    stress_free_temperature = 580
    eigenstrain_name = eigenstrain
  [../]

  [./stress]
    type = ComputeStrainIncrementBasedStress
  [../]
[]

[Executioner]
  type = Transient
  solve_type = 'PJFNK'
  line_search = 'none'

  l_max_its = 50
  l_tol = 1e-6
  nl_max_its = 15
  nl_rel_tol = 1e-8
  nl_abs_tol = 1e-10
  start_time = 0
  end_time = 2
  num_steps = 2
[]

[Outputs]
  exodus = true
  console = true
[]

(modules/fsi/test/tests/fsi_acoustics/3D_struc_acoustic/3D_struc_acoustic.i)

# Test for `StructureAcousticInterface` interface kernel. The domain is 3D with lengths
# 10 X 0.1 X 0.1 meters. The fluid domain is on the right and the structural domain
# is on the left. Fluid end is subjected to a 250Hz sine wave with a single peak.
# Structural domain has the same material properties as the fluid. Interface between
# structure and fluid is located at 5.0m in the x-direction. Fluid pressure is recorded
# at (5, 0.05, 0.05). Structural stress is also recorded at the same location. Fluid
# pressure and structural stress should be almost equal and opposite to each other.
#
# Input parameters:
# Dimensions = 3
# Lengths = 10 X 0.1 X 0.1 meters
# Fluid speed of sound = 1500 m/s
# Fluid density = 1e-6 Giga kg/m^3
# Structural bulk modulus = 2.25 GPa
# Structural shear modulus = 0 GPa
# Structural density = 1e-6 Giga kg/m^3
# Fluid domain = true
# Fluid BC = single peak sine wave applied as a pressure on the fluid end
# Structural domain = true
# Structural BC = Neumann BC with value zero applied on the structural end.
# Fluid-structure interface location = 5.0m along the x-direction

[Mesh]
  [gen]
    type = GeneratedMeshGenerator
    dim = 3
    nx = 100
    ny = 1
    nz = 1
    xmax = 10
    ymax = 0.1
    zmax = 0.1
  []
  [./subdomain1]
    input = gen
    type = SubdomainBoundingBoxGenerator
    bottom_left = '5.0 0.0 0.0'
    block_id = 1
    top_right = '10.0 0.1 0.1'
  [../]
  [./interface1]
    type = SideSetsBetweenSubdomainsGenerator
    input = subdomain1
    primary_block = 1
    paired_block = 0
    new_boundary = 'interface1'
  [../]
[]

[GlobalParams]
[]

[Variables]
  [./p]
    block = 1
  [../]
  [./disp_x]
    block = 0
  [../]
  [./disp_y]
    block = 0
  [../]
  [./disp_z]
    block = 0
  [../]
[]

[AuxVariables]
  [./vel_x]
    order = FIRST
    family = LAGRANGE
    block = 0
  [../]
  [./accel_x]
    order = FIRST
    family = LAGRANGE
    block = 0
  [../]
  [./vel_y]
    order = FIRST
    family = LAGRANGE
    block = 0
  [../]
  [./accel_y]
    order = FIRST
    family = LAGRANGE
    block = 0
  [../]
  [./vel_z]
    order = FIRST
    family = LAGRANGE
    block = 0
  [../]
  [./accel_z]
    order = FIRST
    family = LAGRANGE
    block = 0
  [../]
  [./stress_xx]
    order = CONSTANT
    family = MONOMIAL
    block = 0
  [../]
  [./stress_yy]
    order = CONSTANT
    family = MONOMIAL
    block = 0
  [../]
  [./stress_zz]
    order = CONSTANT
    family = MONOMIAL
    block = 0
  [../]
  [./stress_xy]
    order = CONSTANT
    family = MONOMIAL
    block = 0
  [../]
  [./stress_xz]
    order = CONSTANT
    family = MONOMIAL
    block = 0
  [../]
  [./stress_yz]
    order = CONSTANT
    family = MONOMIAL
    block = 0
  [../]
[]

[Kernels]
  [./diffusion]
    type = Diffusion
    variable = 'p'
    block = 1
  [../]
  [./inertia]
    type = AcousticInertia
    variable = p
    block = 1
  [../]
  [./DynamicTensorMechanics]
    displacements = 'disp_x disp_y disp_z'
    block = 0
  [../]
  [./inertia_x]
    type = InertialForce
    variable = disp_x
    block = 0
  [../]
  [./inertia_y]
    type = InertialForce
    variable = disp_y
    block = 0
  [../]
  [./inertia_z]
    type = InertialForce
    variable = disp_z
    block = 0
  [../]
[]

[AuxKernels]
  [./accel_x]
    type = TestNewmarkTI
    displacement = disp_x
    variable = accel_x
    first = false
    block = 0
  [../]
  [./vel_x]
    type = TestNewmarkTI
    displacement = disp_x
    variable = vel_x
    block = 0
  [../]
  [./accel_y]
    type = TestNewmarkTI
    displacement = disp_y
    variable = accel_y
    first = false
    block = 0
  [../]
  [./vel_y]
    type = TestNewmarkTI
    displacement = disp_y
    variable = vel_y
    block = 0
  [../]
  [./accel_z]
    type = TestNewmarkTI
    displacement = disp_z
    variable = accel_z
    first = false
    block = 0
  [../]
  [./vel_z]
    type = TestNewmarkTI
    displacement = disp_z
    variable = vel_z
    block = 0
  [../]
  [./stress_xx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xx
    index_i = 0
    index_j = 0
    block = 0
  [../]
  [./stress_yy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yy
    index_i = 1
    index_j = 1
    block = 0
  [../]
  [./stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zz
    index_i = 2
    index_j = 2
    block = 0
  [../]
  [./stress_xy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xy
    index_i = 0
    index_j = 1
    block = 0
  [../]
  [./stress_xz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xz
    index_i = 0
    index_j = 2
    block = 0
  [../]
  [./stress_yz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yz
    index_i = 1
    index_j = 2
    block = 0
  [../]
[]

[InterfaceKernels]
  [./interface1]
    type =  StructureAcousticInterface
    variable = p
    neighbor_var = disp_x
    boundary = 'interface1'
    D = 1e-6
    component = 0
  [../]
  [./interface2]
    type =  StructureAcousticInterface
    variable = p
    neighbor_var = disp_y
    boundary = 'interface1'
    D = 1e-6
    component = 1
  [../]
  [./interface3]
    type =  StructureAcousticInterface
    variable = p
    neighbor_var = disp_z
    boundary = 'interface1'
    D = 1e-6
    component = 2
  [../]
[]

[BCs]
  [./bottom_accel]
    type = FunctionDirichletBC
    variable = p
    boundary = 'right'
    function = accel_bottom
  [../]
  [./disp_x1]
    type = NeumannBC
    boundary = 'left'
    variable = disp_x
    value = 0.0
  [../]
  [./disp_y1]
    type = NeumannBC
    boundary = 'left'
    variable = disp_y
    value = 0.0
  [../]
  [./disp_z1]
    type = NeumannBC
    boundary = 'left'
    variable = disp_z
    value = 0.0
  [../]
[]

[Functions]
  [./accel_bottom]
    type = PiecewiseLinear
    data_file = ../1D_struc_acoustic/Input_1Peak_highF.csv
    scale_factor = 1e-2
    format = 'columns'
  [../]
[]

[Materials]
  [./co_sq]
    type = GenericConstantMaterial
    prop_names = inv_co_sq
    prop_values = 4.44e-7
    block = '1'
  [../]
  [./density0]
    type = GenericConstantMaterial
    block = 0
    prop_names = density
    prop_values = 1e-6
  [../]
  [./elasticity_base]
    type = ComputeIsotropicElasticityTensor
    bulk_modulus = 2.25
    shear_modulus = 0.0
    block = 0
  [../]
  [./strain]
    type = ComputeFiniteStrain
    block = 0
    displacements = 'disp_x disp_y disp_z'
  [../]
  [./stress]
    type =  ComputeFiniteStrainElasticStress
    block = 0
  [../]
[]

[Preconditioning]
  [./andy]
    type = SMP
    full = true
  [../]
[]

[Executioner]
  type = Transient
  solve_type = 'NEWTON'
  petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
  petsc_options_value = 'lu       superlu_dist'
  start_time = 0.0
  end_time = 0.005
  dt = 0.0001
  dtmin = 0.00001
  nl_abs_tol = 1e-8
  nl_rel_tol = 1e-8
  l_tol = 1e-8
  l_max_its = 25
  timestep_tolerance = 1e-8
  automatic_scaling = true
  [TimeIntegrator]
    type = NewmarkBeta
  []
[]

[Postprocessors]
  [./p1]
    type = PointValue
    point = '5.0 0.05 0.05'
    variable = p
  [../]
  [./stress_xx]
    type = PointValue
    point = '5.0 0.05 0.05'
    variable = stress_xx
  [../]
[]

[Outputs]
  csv = true
  perf_graph = true
  print_linear_residuals = true
[]

(modules/contact/test/tests/simple_contact/simple_contact_rspherical.i)

#
# This is similar to the patch test for 1D spherical elements with the
#   addition of a contact interface.
#
# The 1D mesh is pinned at x=0.  The displacement at the outer node is set to
#   -3e-3*X where X is the x-coordinate of that node.  That gives a strain of
#   -3e-3 for the x, y, and z directions.
#
# Young's modulus is 1e6, and Poisson's ratio is 0.25.  This gives:
#
# Stress xx, yy, zz = E/(1+nu)/(1-2nu)*strain*((1-nu) + nu + nu) = -6000
#

[Problem]
  coord_type = RSPHERICAL
[]

[Mesh]
  file = simple_contact_rspherical.e
  construct_side_list_from_node_list = true
[]

[GlobalParams]
  displacements = 'disp_x'
[]

[Functions]
  [./ur]
    type = ParsedFunction
    expression = '-3e-3*x'
  [../]
[]

[Physics/SolidMechanics/QuasiStatic]
  [./all]
    add_variables = true
    strain = FINITE
    generate_output = 'stress_xx stress_yy stress_zz'
  [../]
[]

[BCs]
  [./ur]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = '1 4'
    function = ur
  [../]
[]

[Contact]
  [./fred]
    primary = 2
    secondary = 3
  [../]
[]

[Materials]
  [./stiffStuff1]
    type = ComputeIsotropicElasticityTensor
    block = '1 2 3'
    youngs_modulus = 1e6
    poissons_ratio = 0.25
  [../]
  [./stiffStuff1_stress]
    type = ComputeFiniteStrainElasticStress
    block = '1 2 3'
  [../]
[]


[Executioner]
  type = Transient
  solve_type = 'PJFNK'

  petsc_options_iname = '-pc_type -ksp_gmres_restart'
  petsc_options_value = 'lu       101'

  line_search = 'none'

  nl_abs_tol = 1e-7
  nl_rel_tol = 1e-11

  l_max_its = 20

  start_time = 0.0
  dt = 1.0
  num_steps = 1
  end_time = 1.0
[]

[Outputs]
  exodus = true
[]

(modules/solid_mechanics/test/tests/crystal_plasticity/monolithic_material_based/cp_slip_rate_integ/crysp_linesearch.i)

[Mesh]
  type = GeneratedMesh
  dim = 3
  elem_type = HEX8
  displacements = 'disp_x disp_y disp_z'
[]

[Variables]
  [./disp_x]
    block = 0
  [../]
  [./disp_y]
    block = 0
  [../]
  [./disp_z]
    block = 0
  [../]
[]

[AuxVariables]
  [./stress_zz]
    order = CONSTANT
    family = MONOMIAL
    block = 0
  [../]
  [./fp_zz]
    order = CONSTANT
    family = MONOMIAL
    block = 0
  [../]
  [./e_zz]
    order = CONSTANT
    family = MONOMIAL
    block = 0
  [../]
  [./gss1]
    order = CONSTANT
    family = MONOMIAL
    block = 0
  [../]
[]

[Functions]
  [./tdisp]
    type = ParsedFunction
    expression = 0.0001*t
  [../]
[]

[Kernels]
  [SolidMechanics]
    displacements = 'disp_x disp_y disp_z'
    use_displaced_mesh = true
  [../]
[]

[AuxKernels]
  [./stress_zz]
    type = RankTwoAux
    variable = stress_zz
    rank_two_tensor = stress
    index_j = 2
    index_i = 2
    execute_on = timestep_end
    block = 0
  [../]
  [./fp_zz]
    type = RankTwoAux
    variable = fp_zz
    rank_two_tensor = fp
    index_j = 2
    index_i = 2
    execute_on = timestep_end
    block = 0
  [../]
  [./e_zz]
    type = RankTwoAux
    variable = e_zz
    rank_two_tensor = lage
    index_j = 2
    index_i = 2
    execute_on = timestep_end
    block = 0
  [../]
  [./gss1]
    type = MaterialStdVectorAux
    variable = gss1
    property = gss
    index = 0
    execute_on = timestep_end
    block = 0
  [../]
[]

[BCs]
  [./symmy]
    type = DirichletBC
    variable = disp_y
    boundary = bottom
    value = 0
  [../]
  [./symmx]
    type = DirichletBC
    variable = disp_x
    boundary = left
    value = 0
  [../]
  [./symmz]
    type = DirichletBC
    variable = disp_z
    boundary = back
    value = 0
  [../]
  [./tdisp]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = front
    function = tdisp
  [../]
[]

[Materials]
  [./crysp]
    type = FiniteStrainCPSlipRateRes
    block = 0
    slip_sys_file_name = input_slip_sys.txt
    nss = 12
    num_slip_sys_flowrate_props = 2 #Number of properties in a slip system
    flowprops = '1 4 0.001 0.01 5 8 0.001 0.01 9 12 0.001 0.01'
    hprops = '1.0 541.5 60.8 109.8 2.5'
    gprops = '1 4 60.8 5 8 60.8 9 12 60.8'
    tan_mod_type = exact
    slip_incr_tol = 1
    maximum_substep_iteration = 12
    use_line_search = true
    rtol = 1e-8
    abs_tol = 1e-12
    line_search_method = 'BISECTION'
  [../]
  [./elasticity_tensor]
    type = ComputeElasticityTensorCP
    block = 0
    C_ijkl = '1.684e5 1.214e5 1.214e5 1.684e5 1.214e5 1.684e5 0.754e5 0.754e5 0.754e5'
    fill_method = symmetric9
  [../]
  [./strain]
    type = ComputeFiniteStrain
    block = 0
    displacements = 'disp_x disp_y disp_z'
  [../]
[]

[Postprocessors]
  [./stress_zz]
    type = ElementAverageValue
    variable = stress_zz
    block = 'ANY_BLOCK_ID 0'
  [../]
  [./fp_zz]
    type = ElementAverageValue
    variable = fp_zz
    block = 'ANY_BLOCK_ID 0'
  [../]
  [./e_zz]
    type = ElementAverageValue
    variable = e_zz
    block = 'ANY_BLOCK_ID 0'
  [../]
  [./gss1]
    type = ElementAverageValue
    variable = gss1
    block = 'ANY_BLOCK_ID 0'
  [../]
[]

[Preconditioning]
  [./smp]
    type = SMP
    full = true
  [../]
[]

[Executioner]
  type = Transient

  #Preconditioned JFNK (default)
  solve_type = 'PJFNK'

  petsc_options_iname = '-pc_type'
  petsc_options_value = 'lu'

  nl_rel_tol = 1e-10
  nl_abs_tol = 1e-10

  dt = 10
  dtmin = 0.05
  dtmax = 1e4

  num_steps = 10
[]

[Outputs]
  file_base = crysp_linesearch_out
  exodus = true
  print_linear_residuals = true
  perf_graph = true
[]

(modules/solid_mechanics/test/tests/multi/three_surface06.i)

# Plasticit models:
# SimpleTester0 with a = 0 and b = 1 and strength = 1
# SimpleTester1 with a = 1 and b = 0 and strength = 1
# SimpleTester2 with a = 1 and b = 1 and strength = 1.5
#
# Lame lambda = 0 (Poisson=0).  Lame mu = 0.5E6
#
# A single element is stretched by 1.1E-6m in y direction and 1.0E-6 in z direction.
# trial stress_yy = 1.1 and stress_zz = 1.0
#
# Then SimpleTester1 and SimpleTester2 should activate and the algorithm will return to
# the corner stress_yy=1.0, stress_zz=0.5
# However, this will mean internal1 < 0, so SimpleTester1 will be deactivated and
# then the algorithm will return to
# stress_yy=0.8, stress_zz=0.7
# internal1 should be 0.0, and internal2 should be 0.3

[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]


[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
[]

[Kernels]
  [SolidMechanics]
    displacements = 'disp_x disp_y disp_z'
  [../]
[]


[BCs]
  [./x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'front back'
    function = '0E-6*x'
  [../]
  [./y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'front back'
    function = '1.1E-6*y'
  [../]
  [./z]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'front back'
    function = '1.0E-6*z'
  [../]
[]

[AuxVariables]
  [./stress_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f0]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f1]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f2]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./int0]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./int1]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./int2]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]

[AuxKernels]
  [./stress_xx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xx
    index_i = 0
    index_j = 0
  [../]
  [./stress_xy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xy
    index_i = 0
    index_j = 1
  [../]
  [./stress_xz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xz
    index_i = 0
    index_j = 2
  [../]
  [./stress_yy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yy
    index_i = 1
    index_j = 1
  [../]
  [./stress_yz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yz
    index_i = 1
    index_j = 2
  [../]
  [./stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zz
    index_i = 2
    index_j = 2
  [../]
  [./f0]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 0
    variable = f0
  [../]
  [./f1]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 1
    variable = f1
  [../]
  [./f2]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 2
    variable = f2
  [../]
  [./int0]
    type = MaterialStdVectorAux
    property = plastic_internal_parameter
    factor = 1E6
    index = 0
    variable = int0
  [../]
  [./int1]
    type = MaterialStdVectorAux
    property = plastic_internal_parameter
    factor = 1E6
    index = 1
    variable = int1
  [../]
  [./int2]
    type = MaterialStdVectorAux
    property = plastic_internal_parameter
    factor = 1E6
    index = 2
    variable = int2
  [../]
[]

[Postprocessors]
  [./s_xx]
    type = PointValue
    point = '0 0 0'
    variable = stress_xx
  [../]
  [./s_xy]
    type = PointValue
    point = '0 0 0'
    variable = stress_xy
  [../]
  [./s_xz]
    type = PointValue
    point = '0 0 0'
    variable = stress_xz
  [../]
  [./s_yy]
    type = PointValue
    point = '0 0 0'
    variable = stress_yy
  [../]
  [./s_yz]
    type = PointValue
    point = '0 0 0'
    variable = stress_yz
  [../]
  [./s_zz]
    type = PointValue
    point = '0 0 0'
    variable = stress_zz
  [../]
  [./f0]
    type = PointValue
    point = '0 0 0'
    variable = f0
  [../]
  [./f1]
    type = PointValue
    point = '0 0 0'
    variable = f1
  [../]
  [./f2]
    type = PointValue
    point = '0 0 0'
    variable = f2
  [../]
  [./int0]
    type = PointValue
    point = '0 0 0'
    variable = int0
  [../]
  [./int1]
    type = PointValue
    point = '0 0 0'
    variable = int1
  [../]
  [./int2]
    type = PointValue
    point = '0 0 0'
    variable = int2
  [../]
[]

[UserObjects]
  [./simple0]
    type = SolidMechanicsPlasticSimpleTester
    a = 0
    b = 1
    strength = 1
    yield_function_tolerance = 1.0E-9
    internal_constraint_tolerance = 1.0E-9
  [../]
  [./simple1]
    type = SolidMechanicsPlasticSimpleTester
    a = 1
    b = 0
    strength = 1
    yield_function_tolerance = 1.0E-9
    internal_constraint_tolerance = 1.0E-9
  [../]
  [./simple2]
    type = SolidMechanicsPlasticSimpleTester
    a = 1
    b = 1
    strength = 1.5
    yield_function_tolerance = 1.0E-9
    internal_constraint_tolerance = 1.0E-9
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    block = 0
    fill_method = symmetric_isotropic
    C_ijkl = '0 0.5E6'
  [../]
  [./strain]
    type = ComputeFiniteStrain
    block = 0
    displacements = 'disp_x disp_y disp_z'
  [../]
  [./multi]
    type = ComputeMultiPlasticityStress
    block = 0
    ep_plastic_tolerance = 1E-9
    plastic_models = 'simple0 simple1 simple2'
    max_NR_iterations = 2
    min_stepsize = 1
    debug_fspb = crash
    debug_jac_at_stress = '10 0 0 0 10 0 0 0 10'
    debug_jac_at_pm = '1 1'
    debug_jac_at_intnl = '1 1'
    debug_stress_change = 1E-5
    debug_pm_change = '1E-6 1E-6'
    debug_intnl_change = '1E-6 1E-6'
  [../]
[]


[Executioner]
  end_time = 1
  dt = 1
  type = Transient
[]


[Outputs]
  file_base = three_surface06
  exodus = false
  [./csv]
    type = CSV
    [../]
[]

(modules/xfem/test/tests/moving_interface/cut_mesh_3d.i)

[GlobalParams]
  order = FIRST
  family = LAGRANGE
  displacements = 'disp_x disp_y disp_z'
[]

[XFEM]
  geometric_cut_userobjects = 'cut_mesh'
  qrule = volfrac
  output_cut_plane = true
[]

[Mesh]
  [gen]
    type = GeneratedMeshGenerator
    dim = 3
    nx = 11
    ny = 11
    nz = 1
    xmin = 0.0
    xmax = 1.0
    ymin = 0.0
    ymax = 1.0
    zmin = 0.0
    zmax = 0.1
    elem_type = HEX8
  []
  [block1]
    type = SubdomainBoundingBoxGenerator
    block_id = 1
    bottom_left = '0 0 0'
    top_right = '0.5 1 0.1'
    input = gen
  []
  [block2]
    type = SubdomainBoundingBoxGenerator
    block_id = 2
    bottom_left = '0.5 0 0'
    top_right = '1 1 0.1'
    input = block1
  []
[]

[UserObjects]
  [cut_mesh]
    type = InterfaceMeshCut3DUserObject
    mesh_file = cylinder_surface.e
    interface_velocity_function = vel_func
    heal_always = true
    block = 2
  []
[]

[Functions]
  [vel_func]
    type = ConstantFunction
    value = 0.011
  []
[]

[Physics/SolidMechanics/QuasiStatic]
  displacements = 'disp_x disp_y disp_z'
  [all]
    strain = SMALL
    add_variables = true
    incremental = false
    generate_output = 'stress_xx stress_yy stress_zz vonmises_stress'
    displacements = 'disp_x disp_y disp_z'
  []
[]

[Variables]
  [u]
  []
[]

[AuxVariables]
  [ls]
  []
[]

[AuxKernels]
  [ls]
    type = MeshCutLevelSetAux
    mesh_cut_user_object = cut_mesh
    variable = ls
  []
[]

[Kernels]
  [diff]
    type = MatDiffusion
    variable = u
    diffusivity = 1
  []
  [time_deriv]
    type = TimeDerivative
    variable = u
  []
[]

[Materials]
  [elasticity_tensor]
    type = ComputeIsotropicElasticityTensor
    youngs_modulus = 207000
    poissons_ratio = 0.3
  []
  [stress]
    type = ComputeLinearElasticStress
  []
[]

[BCs]
  [front_u]
    type = DirichletBC
    variable = u
    boundary = left
    value = 0
  []
  [back_u]
    type = DirichletBC
    variable = u
    boundary = right
    value = 1
  []
  [box1_x]
    type = DirichletBC
    variable = disp_x
    value = 0
    boundary = left
  []
  [box1_y]
    type = DirichletBC
    variable = disp_y
    value = 0
    boundary = left
  []
  [box1_z]
    type = DirichletBC
    variable = disp_z
    value = 0
    boundary = left
  []
  [box2_x]
    type = FunctionDirichletBC
    variable = disp_x
    function = '0.01*t'
    boundary = right
  []
[]

[Executioner]
  type = Transient

  solve_type = 'PJFNK'
  petsc_options_iname = '-pc_type'
  petsc_options_value = 'lu'

  l_max_its = 20
  l_tol = 1e-3
  nl_max_its = 15
  nl_rel_tol = 1e-10
  nl_abs_tol = 1e-12

  start_time = 0.0
  dt = 2
  end_time = 2

  max_xfem_update = 1
[]

[Outputs]
  exodus = true
[]

(modules/solid_mechanics/test/tests/finite_strain_elastic/elastic_rotation_test.i)

#
# Rotation Test
#
# This test is designed to compute stress based on uniaxial strain
# and then follow that stress as the mesh is rotated 90 degrees.
#
# The mesh is composed of one block with a single element.  The nodal
# displacements in the three directions are prescribed.  Poisson's
# ratio is 1/3, and Young's modulus is 1e6.
#
# This test is mentioned in
# K. Kamojjala, R. Brannon, A. Sadeghirad, and J. Guilkey, "Verification
#   tests in solid mechanics," Engineering with Computers, Vol. 31, 2015.
#   DOI: 10.1007/s00366-013-0342-x
#
[Mesh]
  type = FileMesh
  file = rotation_test.e
[]

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]

[Functions]
  [./x_200]
    type = ParsedFunction
    symbol_names = 'delta t0'
    symbol_values = '1e-6 1.0'
    expression = 'if(t<=1.0, delta*t, (1.0+delta)*cos(pi/2*(t-t0)) - 1.0)'
  [../]
  [./y_200]
    type = ParsedFunction
    symbol_names = 'delta t0'
    symbol_values = '1e-6 1.0'
    expression = 'if(t<=1.0, 0.0, (1.0+delta)*sin(pi/2*(t-t0)))'
  [../]
  [./x_300]
    type = ParsedFunction
    symbol_names = 'delta t0'
    symbol_values = '1e-6 1.0'
    expression = 'if(t<=1.0, delta*t, (1.0+delta)*cos(pi/2.0*(t-t0)) - sin(pi/2.0*(t-t0)) - 1.0)'
  [../]
  [./y_300]
    type = ParsedFunction
    symbol_names = 'delta t0'
    symbol_values = '1e-6 1.0'
    expression = 'if(t<=1.0, 0.0, cos(pi/2.0*(t-t0)) + (1+delta)*sin(pi/2.0*(t-t0)) - 1.0)'
  [../]
  [./x_400]
    type = ParsedFunction
    symbol_names = 'delta t0'
    symbol_values = '1e-6 1.0'
    expression = 'if(t<=1.0, 0.0, -sin(pi/2.0*(t-t0)))'
  [../]
  [./y_400]
    type = ParsedFunction
    symbol_names = 'delta t0'
    symbol_values = '1e-6 1.0'
    expression = 'if(t<=1.0, 0.0, cos(pi/2.0*(t-t0)) - 1.0)'
  [../]
[]

[Physics]
  [SolidMechanics]
    [QuasiStatic]
      [./all]
        strain = FINITE
        add_variables = true
        generate_output = 'stress_xx stress_yy stress_zz stress_xy stress_yz stress_zx'
      [../]
    [../]
  [../]
[]

[BCs]
  [./no_x]
    type = DirichletBC
    variable = disp_x
    boundary = 100
    value = 0.0
  [../]
  [./no_y]
    type = DirichletBC
    variable = disp_y
    boundary = 100
    value = 0.0
  [../]
  [./x_200]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 200
    function = x_200
  [../]
  [./y_200]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 200
    function = y_200
  [../]
  [./x_300]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 300
    function = x_300
  [../]
  [./y_300]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 300
    function = y_300
  [../]
  [./x_400]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 400
    function = x_400
  [../]
  [./y_400]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 400
    function = y_400
  [../]
  [./no_z]
    type = DirichletBC
    variable = disp_z
    boundary = '100 200 300 400'
    value = 0.0
  [../]
[]

[Materials]
  [./stress]
    type = ComputeFiniteStrainElasticStress
  [../]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    fill_method = symmetric9
    C_ijkl = '1.5e6 0.75e6 0.75e6 1.5e6 0.75e6 1.5e6 0.375e6 0.375e6 0.375e6'
  [../]
[]

[Preconditioning]
  [./SMP]
    type = SMP
    full = true
  [../]
[]

[Executioner]
  type = Transient
  solve_type = NEWTON
  petsc_options_iname = '-pc_type '
  petsc_options_value = lu
  nl_rel_tol = 1e-30
  nl_abs_tol = 1e-20
  l_max_its = 20
  start_time = 0.0
  dt = 0.01
  end_time = 2.0
[]

[Outputs]
  exodus = true
[]

(tutorials/darcy_thermo_mech/step07_adaptivity/problems/step7d_adapt_blocks.i)

[Mesh]
  [gmg]
    type = GeneratedMeshGenerator
    dim = 2
    nx = 40
    ny = 4
    xmax = 0.304 # Length of test chamber
    ymax = 0.0257 # Test chamber radius
  []
  [bottom]
    type = SubdomainBoundingBoxGenerator
    input = gmg
    location = inside
    bottom_left = '0 0 0'
    top_right = '0.304 0.01285 0'
    block_id = 1
  []
  coord_type = RZ
  rz_coord_axis = X
  uniform_refine = 3
[]

[Variables]
  [pressure]
  []
  [temperature]
    initial_condition = 300 # Start at room temperature
  []
[]

[Kernels]
  [darcy_pressure]
    type = DarcyPressure
    variable = pressure
  []
  [heat_conduction]
    type = ADHeatConduction
    variable = temperature
  []
  [heat_conduction_time_derivative]
    type = ADHeatConductionTimeDerivative
    variable = temperature
  []
  [heat_convection]
    type = DarcyAdvection
    variable = temperature
    pressure = pressure
  []
[]

[BCs]
  [inlet_temperature]
    type = FunctionDirichletBC
    variable = temperature
    boundary = left
    function = 'if(t<0,350+50*t,350)'
  []
  [outlet_temperature]
    type = HeatConductionOutflow
    variable = temperature
    boundary = right
  []
  [inlet]
    type = DirichletBC
    variable = pressure
    boundary = left
    value = 4000 # (Pa) From Figure 2 from paper.  First data point for 1mm spheres.
  []
  [outlet]
    type = DirichletBC
    variable = pressure
    boundary = right
    value = 0 # (Pa) Gives the correct pressure drop from Figure 2 for 1mm spheres
  []
[]

[Materials]
  viscosity_file = data/water_viscosity.csv
  density_file = data/water_density.csv
  thermal_conductivity_file = data/water_thermal_conductivity.csv
  specific_heat_file = data/water_specific_heat.csv

  [column_bottom]
    type = PackedColumn
    block = 1
    radius = 1.15
    temperature = temperature
    fluid_viscosity_file = ${viscosity_file}
    fluid_density_file = ${density_file}
    fluid_thermal_conductivity_file = ${thermal_conductivity_file}
    fluid_specific_heat_file = ${specific_heat_file}
  []
  [column_top]
    type = PackedColumn
    block = 0
    radius = 1
    temperature = temperature
    porosity = '0.25952 + 0.7*x/0.304'
    fluid_viscosity_file = ${viscosity_file}
    fluid_density_file = ${density_file}
    fluid_thermal_conductivity_file = ${thermal_conductivity_file}
    fluid_specific_heat_file = ${specific_heat_file}
  []
[]

[AuxVariables/velocity]
  order = CONSTANT
  family = MONOMIAL_VEC
[]

[AuxKernels/velocity]
  type = DarcyVelocity
  variable = velocity
  execute_on = timestep_end
  pressure = pressure
[]

[Problem]
  type = FEProblem
[]

[Executioner]
  type = Transient
  end_time = 100
  dt = 0.25
  start_time = -1

  solve_type = NEWTON
  petsc_options_iname = '-pc_type -pc_hypre_type'
  petsc_options_value = 'hypre boomeramg'

  automatic_scaling = true
  steady_state_tolerance = 1e-5
  steady_state_detection = true

  [TimeStepper]
    type = FunctionDT
    function = 'if(t<0,0.1,0.25)'
  []
[]

[Outputs/out]
  type = Exodus
  output_material_properties = true
[]

[Adaptivity]
  marker = error_frac
  max_h_level = 3
  [Indicators/temperature_jump]
    type = GradientJumpIndicator
    variable = temperature
    scale_by_flux_faces = true
  []
  [Markers/error_frac]
    type = ErrorFractionMarker
    coarsen = 0.025
    indicator = temperature_jump
    refine = 0.9
  []
[]

(modules/contact/test/tests/mortar_aux_kernels/frictional-mortar-3d-status.i)

starting_point = 0.04
offset = 0.00

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
  volumetric_locking_correction = true
[]

[AuxVariables]
  [mortar_tangent_x]
    family = LAGRANGE
    order = FIRST
  []
  [mortar_tangent_y]
    family = LAGRANGE
    order = FIRST
  []
  [mortar_tangent_z]
    family = LAGRANGE
    order = FIRST
  []
  [frictional_status]
    family = LAGRANGE
    order = FIRST
  []
[]

[AuxKernels]
  [friction_x_component]
    type = MortarFrictionalPressureVectorAux
    primary_boundary = 'bottom_top'
    secondary_boundary = 'top_bottom'
    tangent_one = mortar_tangential_lm
    tangent_two = mortar_tangential_3d_lm
    variable = mortar_tangent_x
    component = 0
    boundary = 'top_bottom'
  []
  [friction_y_component]
    type = MortarFrictionalPressureVectorAux
    primary_boundary = 'bottom_top'
    secondary_boundary = 'top_bottom'
    tangent_one = mortar_tangential_lm
    tangent_two = mortar_tangential_3d_lm
    variable = mortar_tangent_y
    component = 1
    boundary = 'top_bottom'
  []
  [friction_z_component]
    type = MortarFrictionalPressureVectorAux
    primary_boundary = 'bottom_top'
    secondary_boundary = 'top_bottom'
    tangent_one = mortar_tangential_lm
    tangent_two = mortar_tangential_3d_lm
    variable = mortar_tangent_z
    component = 2
    boundary = 'top_bottom'
  []
  [frictional_state]
    type = MortarFrictionalStateAux
    tangent_one = mortar_tangential_lm
    boundary = 'top_bottom'
    contact_pressure = mortar_normal_lm
    variable = frictional_status
    mu = 0.4
  []
[]

[Mesh]
  [top_block]
    type = GeneratedMeshGenerator
    dim = 3
    nx = 2
    ny = 2
    nz = 1
    xmin = -0.25
    xmax = 0.25
    ymin = -0.25
    ymax = 0.25
    zmin = -0.25
    zmax = 0.25
    elem_type = HEX8
  []
  [rotate_top_block]
    type = TransformGenerator
    input = top_block
    transform = ROTATE
    vector_value = '0 0 0'
  []
  [top_block_sidesets]
    type = RenameBoundaryGenerator
    input = rotate_top_block
    old_boundary = '0 1 2 3 4 5'
    new_boundary = 'top_bottom top_back top_right top_front top_left top_top'
  []
  [top_block_id]
    type = SubdomainIDGenerator
    input = top_block_sidesets
    subdomain_id = 1
  []
  [bottom_block]
    type = GeneratedMeshGenerator
    dim = 3
    nx = 1
    ny = 1
    nz = 1
    xmin = -.5
    xmax = .5
    ymin = -.5
    ymax = .5
    zmin = -.3
    zmax = -.25
    elem_type = HEX8
  []
  [bottom_block_id]
    type = SubdomainIDGenerator
    input = bottom_block
    subdomain_id = 2
  []
  [bottom_block_change_boundary_id]
    type = RenameBoundaryGenerator
    input = bottom_block_id
    old_boundary = '0 1 2 3 4 5'
    new_boundary = '100 101 102 103 104 105'
  []
  [combined]
    type = MeshCollectionGenerator
    inputs = 'top_block_id bottom_block_change_boundary_id'
  []
  [block_rename]
    type = RenameBlockGenerator
    input = combined
    old_block = '1 2'
    new_block = 'top_block bottom_block'
  []
  [bottom_right_sideset]
    type = SideSetsAroundSubdomainGenerator
    input = block_rename
    new_boundary = bottom_right
    block = bottom_block
    normal = '1 0 0'
  []
  [bottom_left_sideset]
    type = SideSetsAroundSubdomainGenerator
    input = bottom_right_sideset
    new_boundary = bottom_left
    block = bottom_block
    normal = '-1 0 0'
  []
  [bottom_top_sideset]
    type = SideSetsAroundSubdomainGenerator
    input = bottom_left_sideset
    new_boundary = bottom_top
    block = bottom_block
    normal = '0 0 1'
  []
  [bottom_bottom_sideset]
    type = SideSetsAroundSubdomainGenerator
    input = bottom_top_sideset
    new_boundary = bottom_bottom
    block = bottom_block
    normal = '0  0 -1'
  []
  [bottom_front_sideset]
    type = SideSetsAroundSubdomainGenerator
    input = bottom_bottom_sideset
    new_boundary = bottom_front
    block = bottom_block
    normal = '0 1 0'
  []
  [bottom_back_sideset]
    type = SideSetsAroundSubdomainGenerator
    input = bottom_front_sideset
    new_boundary = bottom_back
    block = bottom_block
    normal = '0 -1 0'
  []
  [secondary]
    input = bottom_back_sideset
    type = LowerDBlockFromSidesetGenerator
    sidesets = 'top_bottom' # top_back top_left'
    new_block_id = '10001'
    new_block_name = 'secondary_lower'
  []
  [primary]
    input = secondary
    type = LowerDBlockFromSidesetGenerator
    sidesets = 'bottom_top'
    new_block_id = '10000'
    new_block_name = 'primary_lower'
  []
  uniform_refine = 0
  allow_renumbering = false
[]

[Variables]
  [mortar_normal_lm]
    block = 'secondary_lower'
    use_dual = true
    scaling = 1.0e2
  []
  [mortar_tangential_lm]
    block = 'secondary_lower'
    use_dual = true
    scaling = 1.0e2
  []
  [mortar_tangential_3d_lm]
    block = 'secondary_lower'
    use_dual = true
    scaling = 1.0e2
  []
[]

[Physics/SolidMechanics/QuasiStatic]
  [all]
    add_variables = true
    strain = FINITE
    block = '1 2'
    use_automatic_differentiation = false
    generate_output = 'stress_xx stress_xy stress_xz stress_yy stress_zz'
  []
[]

[Materials]
  [tensor]
    type = ComputeIsotropicElasticityTensor
    block = '1'
    youngs_modulus = 1.0e2
    # We should try with nonzero Poisson ratio
    poissons_ratio = 0.0
  []
  [stress]
    type = ComputeFiniteStrainElasticStress
    block = '1'
  []

  [tensor_1000]
    type = ComputeIsotropicElasticityTensor
    block = '2'
    youngs_modulus = 1e5
    poissons_ratio = 0.0
  []
  [stress_1000]
    type = ComputeFiniteStrainElasticStress
    block = '2'
  []
[]

[UserObjects]
  [weighted_vel_uo]
    type = LMWeightedVelocitiesUserObject
    primary_boundary = 'bottom_top'
    secondary_boundary = 'top_bottom'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    secondary_variable = disp_x
    lm_variable_normal = mortar_normal_lm
    lm_variable_tangential_one = mortar_tangential_lm
    lm_variable_tangential_two = mortar_tangential_3d_lm
    disp_x = disp_x
    disp_y = disp_y
    disp_z = disp_z
  []
[]

[Constraints]
  [friction]
    type = ComputeFrictionalForceLMMechanicalContact
    primary_boundary = 'bottom_top'
    secondary_boundary = 'top_bottom'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    variable = mortar_normal_lm
    disp_x = disp_x
    disp_y = disp_y
    disp_z = disp_z
    use_displaced_mesh = true
    mu = 0.4
    c = 1e1
    c_t = 1.0e1
    friction_lm = mortar_tangential_lm
    friction_lm_dir = mortar_tangential_3d_lm
    weighted_gap_uo = weighted_vel_uo
    weighted_velocities_uo = weighted_vel_uo
  []
  [normal_x]
    type = NormalMortarMechanicalContact
    primary_boundary = 'bottom_top'
    secondary_boundary = 'top_bottom'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    variable = mortar_normal_lm
    secondary_variable = disp_x
    component = x
    use_displaced_mesh = true
    compute_lm_residuals = false
    weighted_gap_uo = weighted_vel_uo
  []
  [normal_y]
    type = NormalMortarMechanicalContact
    primary_boundary = 'bottom_top'
    secondary_boundary = 'top_bottom'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    variable = mortar_normal_lm
    secondary_variable = disp_y
    component = y
    use_displaced_mesh = true
    compute_lm_residuals = false
    weighted_gap_uo = weighted_vel_uo
  []
  [normal_z]
    type = NormalMortarMechanicalContact
    primary_boundary = 'bottom_top'
    secondary_boundary = 'top_bottom'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    variable = mortar_normal_lm
    secondary_variable = disp_z
    component = z
    use_displaced_mesh = true
    compute_lm_residuals = false
    weighted_gap_uo = weighted_vel_uo
  []
  [tangential_x]
    type = TangentialMortarMechanicalContact
    primary_boundary = 'bottom_top'
    secondary_boundary = 'top_bottom'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    variable = mortar_tangential_lm
    secondary_variable = disp_x
    component = x
    use_displaced_mesh = true
    compute_lm_residuals = false
    weighted_velocities_uo = weighted_vel_uo
  []
  [tangential_y]
    type = TangentialMortarMechanicalContact
    primary_boundary = 'bottom_top'
    secondary_boundary = 'top_bottom'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    variable = mortar_tangential_lm
    secondary_variable = disp_y
    component = y
    use_displaced_mesh = true
    compute_lm_residuals = false
    weighted_velocities_uo = weighted_vel_uo
  []
  [tangential_z]
    type = TangentialMortarMechanicalContact
    primary_boundary = 'bottom_top'
    secondary_boundary = 'top_bottom'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    variable = mortar_tangential_lm
    secondary_variable = disp_z
    component = z
    use_displaced_mesh = true
    compute_lm_residuals = false
    weighted_velocities_uo = weighted_vel_uo
  []
  [tangential_dir_x]
    type = TangentialMortarMechanicalContact
    primary_boundary = 'bottom_top'
    secondary_boundary = 'top_bottom'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    variable = mortar_tangential_3d_lm
    secondary_variable = disp_x
    component = x
    direction = direction_2
    use_displaced_mesh = true
    compute_lm_residuals = false
    weighted_velocities_uo = weighted_vel_uo
  []
  [tangential_dir_y]
    type = TangentialMortarMechanicalContact
    primary_boundary = 'bottom_top'
    secondary_boundary = 'top_bottom'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    variable = mortar_tangential_3d_lm
    secondary_variable = disp_y
    component = y
    direction = direction_2
    use_displaced_mesh = true
    compute_lm_residuals = false
    weighted_velocities_uo = weighted_vel_uo
  []
  [tangential_dir_z]
    type = TangentialMortarMechanicalContact
    primary_boundary = 'bottom_top'
    secondary_boundary = 'top_bottom'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    variable = mortar_tangential_3d_lm
    secondary_variable = disp_z
    component = z
    direction = direction_2
    use_displaced_mesh = true
    compute_lm_residuals = false
    weighted_velocities_uo = weighted_vel_uo
  []
[]

[BCs]
  [botx]
    type = DirichletBC
    variable = disp_x
    boundary = 'bottom_left bottom_right bottom_front bottom_back'
    value = 0.0
  []
  [boty]
    type = DirichletBC
    variable = disp_y
    boundary = 'bottom_left bottom_right bottom_front bottom_back'
    value = 0.0
  []
  [botz]
    type = DirichletBC
    variable = disp_z
    boundary = 'bottom_left bottom_right bottom_front bottom_back'
    value = 0.0
  []
  [topx]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 'top_top'
    function = '0.16*t'
  []
  [topy]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 'top_top'
    function = '0.1*t'
  []
  [topz]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = 'top_top'
    function = '-${starting_point} * sin(2 * pi / 0.4 * t) + ${offset}'
  []
[]

[Executioner]
  type = Transient
  end_time = 0.1
  dt = .02
  dtmin = .02
  solve_type = 'PJFNK'
  petsc_options = '-snes_converged_reason -ksp_converged_reason -snes_ksp_ew'
  petsc_options_iname = '-pc_type -pc_factor_mat_solver_type -pc_factor_shift_type  -pc_factor_shift_amount -mat_mffd_err'
  petsc_options_value = 'lu       superlu_dist                  NONZERO                 1e-13                  1e-7'
  l_max_its = 15
  nl_max_its = 90
  nl_rel_tol = 1e-11
  nl_abs_tol = 1e-11
  line_search = 'basic'
[]

[Debug]
  show_var_residual_norms = true
[]

[Outputs]
  exodus = true
[]

[Preconditioning]
  [smp]
    type = SMP
    full = true
  []
[]

[Postprocessors]
  active = 'contact'
  [contact]
    type = ContactDOFSetSize
    variable = mortar_normal_lm
    subdomain = 'secondary_lower'
    execute_on = 'nonlinear timestep_end'
  []
[]

[VectorPostprocessors]
  [contact-pressure]
    type = NodalValueSampler
    block = secondary_lower
    variable = mortar_normal_lm
    sort_by = 'id'
    execute_on = NONLINEAR
  []
  [frictional-pressure]
    type = NodalValueSampler
    block = secondary_lower
    variable = mortar_tangential_lm
    sort_by = 'id'
    execute_on = NONLINEAR
  []
  [frictional-pressure-3d]
    type = NodalValueSampler
    block = secondary_lower
    variable = mortar_tangential_3d_lm
    sort_by = 'id'
    execute_on = NONLINEAR
  []
  [tangent_x]
    type = NodalValueSampler
    block = secondary_lower
    variable = mortar_tangent_x
    sort_by = 'id'
    execute_on = NONLINEAR
  []
  [tangent_y]
    type = NodalValueSampler
    block = secondary_lower
    variable = mortar_tangent_y
    sort_by = 'id'
    execute_on = NONLINEAR
  []
[]

(modules/solid_mechanics/test/tests/umat/analysis_steps/elastic_temperature_steps.i)

# Testing the UMAT Interface - linear elastic model using the large strain formulation.

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]

[Mesh]
  [gen]
    type = GeneratedMeshGenerator
    dim = 3
    xmin = -0.5
    xmax = 0.5
    ymin = -0.5
    ymax = 0.5
    zmin = -0.5
    zmax = 0.5
  []
[]

[Functions]
  [top_pull_step2]
    type = ParsedFunction
    expression = (t-5.0)/20
  []
  # Forced evolution of temperature
  [temperature_load]
    type = ParsedFunction
    expression = '273'
  []
[]

[AuxVariables]
  [temperature]
  []
[]

[AuxKernels]
  [temperature_function]
    type = FunctionAux
    variable = temperature
    function = temperature_load
  []
[]

[Physics/SolidMechanics/QuasiStatic]
  [all]
    add_variables = true
    strain = FINITE
    generate_output = 'stress_yy'
  []
[]

[BCs]
  [y_step1]
    type = DirichletBC
    variable = disp_y
    boundary = top
    value = 0.0
  []
  [y_pull_function_step2]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = top
    function = top_pull_step2
  []
  [x_bot]
    type = DirichletBC
    variable = disp_x
    boundary = left
    value = 0.0
  []
  [y_bot]
    type = DirichletBC
    variable = disp_y
    boundary = bottom
    value = 0.0
  []
  [z_bot]
    type = DirichletBC
    variable = disp_z
    boundary = front
    value = 0.0
  []
[]

[Controls]
  [step1]
    type = TimePeriod
    enable_objects = 'BCs::y_step1'
    disable_objects = 'BCs::y_pull_function_step2'
    start_time = '0'
    end_time = '5'
  []
  [step2]
    type = TimePeriod
    enable_objects = 'BCs::y_pull_function_step2'
    disable_objects = 'BCs::y_step1'
    start_time = '5'
    end_time = '10'
  []
[]

[Materials]
  # This input file is used to compare the MOOSE and UMAT models, activating
  # specific ones with cli variable_names.

  # 1. Active for umat calculation
  [umat]
    type = AbaqusUMATStress
    constant_properties = '1000 0.3'
    plugin = '../../../plugins/elastic_temperature'
    num_state_vars = 0
    temperature = temperature
    use_one_based_indexing = true
  []
[]

[Executioner]
  type = Transient
  solve_type = 'PJFNK'

  petsc_options = '-snes_ksp_ew'
  petsc_options_iname = '-ksp_gmres_restart'
  petsc_options_value = '101'

  line_search = 'none'

  l_max_its = 100
  nl_max_its = 100
  nl_rel_tol = 1e-12
  nl_abs_tol = 1e-10
  l_tol = 1e-9
  start_time = 0.0
  num_steps = 10
  dt = 1.0
[]

[Preconditioning]
  [smp]
    type = SMP
    full = true
  []
[]

[Outputs]
  exodus = true
[]

(modules/solid_mechanics/test/tests/capped_weak_plane/small_deform8.i)

# Plastic deformation, compression with hardening
# With Lame lambda=0 and Lame mu=1, applying the following
# deformation to the zmax surface of a unit cube:
# disp_z = -t
# should yield trial stress:
# stress_zz = -2*t
# The compressive strength varies as a cubic between 1 (at intnl=0)
# and 2 (at intnl=1).  The equation to solve is
# 2 - Ezzzz * ga = -2 * (ga - 1/2)^3 + (3/2) (ga - 1/2) + 3/2
# where the left-hand side comes from p = p_trial + ga * Ezzzz
# and the right-hand side is the cubic compressive strength
# The solution is ga = 0.355416 ( = intnl[1]), and the cubic
# is 1.289168 ( = -p) at that point
[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
  xmin = -0.5
  xmax = 0.5
  ymin = -0.5
  ymax = 0.5
  zmin = -0.5
  zmax = 0.5
[]

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]

[Physics/SolidMechanics/QuasiStatic]
  [./all]
    add_variables = true
    incremental = true
    generate_output = 'stress_xx stress_xy stress_xz stress_yy stress_yz stress_zz plastic_strain_xx plastic_strain_xy plastic_strain_xz plastic_strain_yy plastic_strain_yz plastic_strain_zz strain_xx strain_xy strain_xz strain_yy strain_yz strain_zz'
  [../]
[]

[BCs]
  [./bottomx]
    type = DirichletBC
    variable = disp_x
    boundary = back
    value = 0.0
  [../]
  [./bottomy]
    type = DirichletBC
    variable = disp_y
    boundary = back
    value = 0.0
  [../]
  [./bottomz]
    type = DirichletBC
    variable = disp_z
    boundary = back
    value = 0.0
  [../]

  [./topx]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = front
    function = 0
  [../]
  [./topy]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = front
    function = 0
  [../]
  [./topz]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = front
    function = -t
  [../]
[]

[AuxVariables]
  [./f_shear]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f_tensile]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./f_compressive]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./intnl_shear]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./intnl_tensile]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./iter]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./ls]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]

[AuxKernels]
  [./f_shear]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 0
    variable = f_shear
  [../]
  [./f_tensile]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 1
    variable = f_tensile
  [../]
  [./f_compressive]
    type = MaterialStdVectorAux
    property = plastic_yield_function
    index = 2
    variable = f_compressive
  [../]
  [./intnl_shear]
    type = MaterialStdVectorAux
    property = plastic_internal_parameter
    index = 0
    variable = intnl_shear
  [../]
  [./intnl_tensile]
    type = MaterialStdVectorAux
    property = plastic_internal_parameter
    index = 1
    variable = intnl_tensile
  [../]
  [./iter]
    type = MaterialRealAux
    property = plastic_NR_iterations
    variable = iter
  [../]
  [./ls]
    type = MaterialRealAux
    property = plastic_linesearch_needed
    variable = ls
  [../]
[]

[Postprocessors]
  [./stress_xx]
    type = PointValue
    point = '0 0 0'
    variable = stress_xx
  [../]
  [./stress_xy]
    type = PointValue
    point = '0 0 0'
    variable = stress_xy
  [../]
  [./stress_xz]
    type = PointValue
    point = '0 0 0'
    variable = stress_xz
  [../]
  [./stress_yy]
    type = PointValue
    point = '0 0 0'
    variable = stress_yy
  [../]
  [./stress_yz]
    type = PointValue
    point = '0 0 0'
    variable = stress_yz
  [../]
  [./stress_zz]
    type = PointValue
    point = '0 0 0'
    variable = stress_zz
  [../]
  [./strainp_xx]
    type = PointValue
    point = '0 0 0'
    variable = plastic_strain_xx
  [../]
  [./strainp_xy]
    type = PointValue
    point = '0 0 0'
    variable = plastic_strain_xy
  [../]
  [./strainp_xz]
    type = PointValue
    point = '0 0 0'
    variable = plastic_strain_xz
  [../]
  [./strainp_yy]
    type = PointValue
    point = '0 0 0'
    variable = plastic_strain_yy
  [../]
  [./strainp_yz]
    type = PointValue
    point = '0 0 0'
    variable = plastic_strain_yz
  [../]
  [./strainp_zz]
    type = PointValue
    point = '0 0 0'
    variable = plastic_strain_zz
  [../]
  [./straint_xx]
    type = PointValue
    point = '0 0 0'
    variable = strain_xx
  [../]
  [./straint_xy]
    type = PointValue
    point = '0 0 0'
    variable = strain_xy
  [../]
  [./straint_xz]
    type = PointValue
    point = '0 0 0'
    variable = strain_xz
  [../]
  [./straint_yy]
    type = PointValue
    point = '0 0 0'
    variable = strain_yy
  [../]
  [./straint_yz]
    type = PointValue
    point = '0 0 0'
    variable = strain_yz
  [../]
  [./straint_zz]
    type = PointValue
    point = '0 0 0'
    variable = strain_zz
  [../]
  [./f_shear]
    type = PointValue
    point = '0 0 0'
    variable = f_shear
  [../]
  [./f_tensile]
    type = PointValue
    point = '0 0 0'
    variable = f_tensile
  [../]
  [./f_compressive]
    type = PointValue
    point = '0 0 0'
    variable = f_compressive
  [../]
  [./intnl_shear]
    type = PointValue
    point = '0 0 0'
    variable = intnl_shear
  [../]
  [./intnl_tensile]
    type = PointValue
    point = '0 0 0'
    variable = intnl_tensile
  [../]
  [./iter]
    type = PointValue
    point = '0 0 0'
    variable = iter
  [../]
  [./ls]
    type = PointValue
    point = '0 0 0'
    variable = ls
  [../]
[]

[UserObjects]
  [./coh]
    type = SolidMechanicsHardeningConstant
    value = 20
  [../]
  [./tanphi]
    type = SolidMechanicsHardeningConstant
    value = 0.5
  [../]
  [./tanpsi]
    type = SolidMechanicsHardeningConstant
    value = 0.1
  [../]
  [./t_strength]
    type = SolidMechanicsHardeningConstant
    value = 100
  [../]
  [./c_strength]
    type = SolidMechanicsHardeningCubic
    value_0 = 2
    value_residual = 1
    internal_0 = -1
    internal_limit = 0
  [../]
[]

[Materials]
  [./elasticity_tensor]
    type = ComputeElasticityTensor
    fill_method = symmetric_isotropic
    C_ijkl = '0 1'
  [../]
  [./admissible]
    type = ComputeMultipleInelasticStress
    inelastic_models = stress
    perform_finite_strain_rotations = false
  [../]
  [./stress]
    type = CappedWeakPlaneStressUpdate
    cohesion = coh
    tan_friction_angle = tanphi
    tan_dilation_angle = tanpsi
    tensile_strength = t_strength
    compressive_strength = c_strength
    max_NR_iterations = 20
    tip_smoother = 5
    smoothing_tol = 5
    yield_function_tol = 1E-10
  [../]
[]

[Executioner]
  end_time = 1
  dt = 1
  type = Transient
[]

[Outputs]
  file_base = small_deform8
  csv = true
[]

(modules/solid_mechanics/test/tests/recompute_radial_return/isotropic_plasticity_errors.i)

# This simulation uses the piece-wise linear strain hardening model
# with the incremental small strain formulation; incremental small strain
# is required to produce the strain_increment for the DiscreteRadialReturnStressIncrement
# class, which handles the calculation of the stress increment to return
# to the yield surface in a J2 (isotropic) plasticity problem.
#
#  This test is used to check the error messages in the discrete radial return
# model DiscreteRRIsotropicPlasticity; cli_args are used to check all of the
# error messages in the DiscreteRRIsotropicPlasticity model.

[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 1
[]

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]

[Functions]
  [./top_pull]
    type = ParsedFunction
    expression = t*(0.0625)
  [../]
  [./harden_func]
    type = PiecewiseLinear
    x = '0  0.0003 0.0007 0.0009'
    y = '50    52    54    56'
  [../]
[]

[Physics/SolidMechanics/QuasiStatic]
  [./all]
    strain = SMALL
    incremental = true
    add_variables = true
    generate_output = 'stress_yy plastic_strain_xx plastic_strain_yy plastic_strain_zz'
  [../]
[]

[BCs]
  [./y_pull_function]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = top
    function = top_pull
  [../]

  [./x_bot]
    type = DirichletBC
    variable = disp_x
    boundary = left
    value = 0.0
  [../]

  [./y_bot]
    type = DirichletBC
    variable = disp_y
    boundary = bottom
    value = 0.0
  [../]

  [./z_bot]
    type = DirichletBC
    variable = disp_z
    boundary = back
    value = 0.0
  [../]
[]

[Materials]
  [./elasticity_tensor]
  [../]
  [./isotropic_plasticity]
    type = IsotropicPlasticityStressUpdate
    relative_tolerance = 1e-25
    absolute_tolerance = 1e-5
  [../]
  [./radial_return_stress]
    type = ComputeMultipleInelasticStress
    tangent_operator = elastic
    inelastic_models = 'isotropic_plasticity'
  [../]
[]

[Executioner]
  type = Transient

  #Preconditioned JFNK (default)
  solve_type = 'PJFNK'

  petsc_options = '-snes_ksp_ew'
  petsc_options_iname = '-ksp_gmres_restart'
  petsc_options_value = '101'

  line_search = 'none'

  l_max_its = 100
  nl_max_its = 100
  nl_rel_tol = 1e-18
  nl_abs_tol = 1e-10
  l_tol = 1e-12

  start_time = 0.0
  end_time = 0.025
  dt = 0.00125
  dtmin = 0.0001
[]

[Outputs]
  [./out]
    type = Exodus
    elemental_as_nodal = true
  [../]
[]

(test/tests/geomsearch/2d_moving_penetration/pl_test4ns.i)

[GlobalParams]
  order = FIRST
  family = LAGRANGE
[]

[Mesh]
  file = pl_test4.e
  displacements = 'disp_x disp_y'
[]

[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
[]

[AuxVariables]
  [./distance]
  [../]
  [./tangential_distance]
  [../]
  [./normal_x]
  [../]
  [./normal_y]
  [../]
  [./closest_point_x]
  [../]
  [./closest_point_y]
  [../]
  [./element_id]
  [../]
  [./side]
  [../]
[]

[Kernels]
  [./diff_x]
    type = Diffusion
    variable = disp_x
  [../]
  [./diff_y]
    type = Diffusion
    variable = disp_y
  [../]
[]

[AuxKernels]
  [./penetrate]
    type = PenetrationAux
    variable = distance
    boundary = 11            #secondary
    paired_boundary = 12     #primary
    normal_smoothing_distance = 0.2
  [../]

  [./penetrate2]
    type = PenetrationAux
    variable = distance
    boundary = 12            #secondary
    paired_boundary = 11     #primary
    normal_smoothing_distance = 0.2
  [../]

  [./penetrate3]
    type = PenetrationAux
    variable = tangential_distance
    boundary = 11
    paired_boundary = 12
    quantity = tangential_distance
  [../]

  [./penetrate4]
    type = PenetrationAux
    variable = tangential_distance
    boundary = 12
    paired_boundary = 11
    quantity = tangential_distance
  [../]

  [./penetrate5]
    type = PenetrationAux
    variable = normal_x
    boundary = 11
    paired_boundary = 12
    quantity = normal_x
  [../]

  [./penetrate6]
    type = PenetrationAux
    variable = normal_x
    boundary = 12
    paired_boundary = 11
    quantity = normal_x
  [../]

  [./penetrate7]
    type = PenetrationAux
    variable = normal_y
    boundary = 11
    paired_boundary = 12
    quantity = normal_y
  [../]

  [./penetrate8]
    type = PenetrationAux
    variable = normal_y
    boundary = 12
    paired_boundary = 11
    quantity = normal_y
  [../]

  [./penetrate9]
    type = PenetrationAux
    variable = closest_point_x
    boundary = 11
    paired_boundary = 12
    quantity = closest_point_x
  [../]

  [./penetrate10]
    type = PenetrationAux
    variable = closest_point_x
    boundary = 12
    paired_boundary = 11
    quantity = closest_point_x
  [../]

  [./penetrate11]
    type = PenetrationAux
    variable = closest_point_y
    boundary = 11
    paired_boundary = 12
    quantity = closest_point_y
  [../]

  [./penetrate12]
    type = PenetrationAux
    variable = closest_point_y
    boundary = 12
    paired_boundary = 11
    quantity = closest_point_y
  [../]

  [./penetrate13]
    type = PenetrationAux
    variable = element_id
    boundary = 11
    paired_boundary = 12
    quantity = element_id
  [../]

  [./penetrate14]
    type = PenetrationAux
    variable = element_id
    boundary = 12
    paired_boundary = 11
    quantity = element_id
  [../]

  [./penetrate15]
    type = PenetrationAux
    variable = side
    boundary = 11
    paired_boundary = 12
    quantity = side
  [../]

  [./penetrate16]
    type = PenetrationAux
    variable = side
    boundary = 12
    paired_boundary = 11
    quantity = side
  [../]
[]

[BCs]
  [./b1x]
    type = DirichletBC
    variable = disp_x
    boundary = 1
    value = 0
  [../]

  [./b1y]
    type = DirichletBC
    variable = disp_y
    boundary = 1
    value = 0
  [../]

  [./b2x]
    type = DirichletBC
    variable = disp_x
    boundary = 2
    value = 0
  [../]

  [./b2y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 2
    function = disp_y
  [../]
[]

[Functions]
  [./disp_y]
    type = PiecewiseLinear
    x = '0.0 0.25 0.75 1.0'
    y = '0.0 2.0 -2.0  0.0'
  [../]
[]

[Executioner]
  type = Transient

  solve_type = 'PJFNK'
  petsc_options = '-snes_ksp_ew'

  nl_rel_tol = 1e-10
  l_max_its = 10

  start_time = 0.0
  dt = 0.0125
  end_time = 1.0
[]

[Outputs]
  file_base = pl_test4ns_out
  exodus = true
[]

(modules/contact/test/tests/hertz_spherical/hertz_contact_rz.i)

# Hertz Contact: Sphere on sphere

# Spheres have the same radius, Young's modulus, and Poisson's ratio.

# Define E:
# 1/E = (1-nu1^2)/E1 + (1-nu2^2)/E2
#
# Effective radius R:
# 1/R = 1/R1 + 1/R2
#
# F is the applied compressive load.
#
# Area of contact a::
# a^3 = 3FR/4E
#
# Depth of indentation d:
# d = a^2/R
#
#
# Let R1 = R2 = 2.  Then R = 1.
#
# Let nu1 = nu2 = 0.25, E1 = E2 = 1.40625e7.  Then E = 7.5e6.
#
# Let F = 10000.  Then a = 0.1, d = 0.01.
#

## Note: There is not a good way to check the result.  The standard approach is
## to map contact pressure as a function of radius, but we don't have the
## contact pressure available.  See the description on Wikipedia for details of
## analytic equations, and the Abaqus Benchmarks Manual, 1.1.11, for a plot of
## contact pressure vs. radius.
[GlobalParams]
  volumetric_locking_correction = true
  displacements = 'disp_x disp_y'
[]

[Problem]
  coord_type = RZ
[]

[Mesh]#Comment
  file = hertz_contact_rz.e
  displacements = 'disp_x disp_y'
  allow_renumbering = false
[] # Mesh

[Functions]
  [./pressure]
    type = PiecewiseLinear
    x = '0. 1. 2.'
    y = '0. 1. 1.'
    scale_factor = 795.77471545947674 # 10000/pi/2^2
  [../]
  [./disp_y]
    type = PiecewiseLinear
    x = '0.  1.    2.'
    y = '0. -0.01 -0.01'
  [../]
[] # Functions

[Variables]

  [./disp_x]
    order = FIRST
    family = LAGRANGE
  [../]

  [./disp_y]
    order = FIRST
    family = LAGRANGE
  [../]

[] # Variables

[AuxVariables]

  [./stress_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_zx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./vonmises]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./hydrostatic]
    order = CONSTANT
    family = MONOMIAL
  [../]

[] # AuxVariables

[Physics/SolidMechanics/QuasiStatic]
  [./all]
    add_variables = true
    strain = SMALL
  [../]
[]
[AuxKernels]
  [./stress_xx]
    type = RankTwoAux
    rank_two_tensor = stress
    index_i = 0
    index_j = 0
    variable = stress_xx
  [../]
  [./stress_yy]
    type = RankTwoAux
    rank_two_tensor = stress
    index_i = 1
    index_j = 1
    variable = stress_yy
  [../]
  [./stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    index_i = 2
    index_j = 2
    variable = stress_zz
  [../]
  [./stress_xy]
    type = RankTwoAux
    rank_two_tensor = stress
    index_i = 0
    index_j = 1
    variable = stress_xy
  [../]
  [./stress_yz]
    type = RankTwoAux
    rank_two_tensor = stress
    index_i = 1
    index_j = 2
    variable = stress_yz
  [../]
  [./stress_zx]
    type = RankTwoAux
    rank_two_tensor = stress
    index_i = 2
    index_j = 0
    variable = stress_zx
  [../]

[] # AuxKernels

[BCs]

  [./base_y]
    type = DirichletBC
    variable = disp_y
    boundary = 1000
    value = 0.0
  [../]

  [./symm_x]
    type = DirichletBC
    variable = disp_x
    boundary = 1
    value = 0.0
  [../]
  [./disp_y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 2
    function = disp_y
  [../]

[] # BCs


[Contact]
  [./dummy_name]
    primary = 1000
    secondary = 100
    model = coulomb
    formulation = penalty
    normalize_penalty = true
    friction_coefficient = 0.4
    penalty = 8e7
    tangential_tolerance = 0.005
  [../]
[]

[Materials]

  [./tensor]
    type = ComputeIsotropicElasticityTensor
    block = '1'
    youngs_modulus = 1.40625e7
    poissons_ratio = 0.25
  [../]
  [./stress]
    type = ComputeLinearElasticStress
    block = '1'
  [../]

  [./tensor_1000]
    type = ComputeIsotropicElasticityTensor
    block = '1000'
    youngs_modulus = 1e6
    poissons_ratio = 0.0
  [../]
  [./stress_1000]
    type = ComputeLinearElasticStress
    block = '1000'
  [../]

[] # Materials

[Preconditioning]
  [./SMP]
    type = SMP
    full = true
  []
[]

[Executioner]

  type = Transient

  #Preconditioned JFNK (default)
  solve_type = 'PJFNK'
  petsc_options = '-snes_ksp_ew'
  petsc_options_iname = '-pc_type -pc_hypre_type -ksp_gmres_restart'
  petsc_options_value = 'hypre    boomeramg      101'


  line_search = 'none'


  nl_abs_tol = 1e-7

  l_max_its = 200

  start_time = 0.0
  dt = 0.5
  end_time = 2.0
[] # Executioner

[Postprocessors]
  [./maxdisp]
    type = NodalVariableValue
    nodeid = 39 # 40-1 where 40 is the exodus node number of the top-left node
    variable = disp_y
  [../]
[]

[Outputs]
  [./out]
    type = Exodus
    elemental_as_nodal = true
  [../]
[] # Outputs

(modules/solid_mechanics/test/tests/neml2/viscoplasticity/kinharden.i)

N = 2

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]

[Mesh]
  [gmg]
    type = GeneratedMeshGenerator
    dim = 3
    nx = ${N}
    ny = ${N}
    nz = ${N}
  []
[]

[Physics]
  [SolidMechanics]
    [QuasiStatic]
      [all]
        strain = SMALL
        new_system = true
        add_variables = true
        formulation = TOTAL
        volumetric_locking_correction = true
      []
    []
  []
[]

[NEML2]
  input = 'kinharden_neml2.i'
  [all]
    model = 'model'
    verbose = true
    device = 'cpu'

    moose_input_types = 'MATERIAL     MATERIAL     POSTPROCESSOR POSTPROCESSOR MATERIAL     MATERIAL'
    moose_inputs = '     neml2_strain neml2_strain time          time          neml2_stress kinematic_plastic_strain'
    neml2_inputs = '     forces/E     old_forces/E forces/t      old_forces/t  old_state/S  old_state/internal/Kp'

    moose_output_types = 'MATERIAL     MATERIAL'
    moose_outputs = '     neml2_stress kinematic_plastic_strain'
    neml2_outputs = '     state/S      state/internal/Kp'

    moose_derivative_types = 'MATERIAL'
    moose_derivatives = 'neml2_jacobian'
    neml2_derivatives = 'state/S forces/E'
  []
[]

[Postprocessors]
  [time]
    type = TimePostprocessor
    execute_on = 'INITIAL TIMESTEP_BEGIN'
  []
[]

[Materials]
  [convert_strain]
    type = RankTwoTensorToSymmetricRankTwoTensor
    from = 'mechanical_strain'
    to = 'neml2_strain'
  []
  [stress]
    type = ComputeLagrangianObjectiveCustomSymmetricStress
    custom_small_stress = 'neml2_stress'
    custom_small_jacobian = 'neml2_jacobian'
  []
[]

[BCs]
  [xfix]
    type = DirichletBC
    variable = disp_x
    boundary = left
    value = 0
  []
  [yfix]
    type = DirichletBC
    variable = disp_y
    boundary = bottom
    value = 0
  []
  [zfix]
    type = DirichletBC
    variable = disp_z
    boundary = back
    value = 0
  []
  [xdisp]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = right
    function = t
    preset = false
  []
[]

[Executioner]
  type = Transient
  solve_type = NEWTON
  petsc_options_iname = '-pc_type'
  petsc_options_value = 'lu'
  automatic_scaling = true
  dt = 1e-3
  dtmin = 1e-3
  num_steps = 5
  residual_and_jacobian_together = true
[]

[Outputs]
  exodus = true
[]

(modules/contact/test/tests/simple_contact/two_block_compress/two_equal_blocks_compress_2d_pg.i)

[GlobalParams]
  displacements = 'disp_x disp_y'
  volumetric_locking_correction = true
[]

[Mesh]
  [left_block]
    type = GeneratedMeshGenerator
    dim = 2
    xmin = -1.0
    xmax = 0.0
    ymin = -0.5
    ymax = 0.5
    nx = 4
    ny = 4
    elem_type = QUAD4
  []
  [left_block_sidesets]
    type = RenameBoundaryGenerator
    input = left_block
    old_boundary = '0 1 2 3'
    new_boundary = '10 11 12 13'
  []
  [left_block_id]
    type = SubdomainIDGenerator
    input = left_block_sidesets
    subdomain_id = 1
  []

  [right_block]
    type = GeneratedMeshGenerator
    dim = 2
    xmin = 0.0
    xmax = 1.0
    ymin = -0.5
    ymax = 0.5
    nx = 5
    ny = 5
    elem_type = QUAD4
  []
  [right_block_sidesets]
    type = RenameBoundaryGenerator
    input = right_block
    old_boundary = '0 1 2 3'
    new_boundary = '20 21 22 23'
  []
  [right_block_id]
    type = SubdomainIDGenerator
    input = right_block_sidesets
    subdomain_id = 2
  []

  [combined_mesh]
    type = MeshCollectionGenerator
    inputs = 'left_block_id right_block_id'
  []

  [left_lower]
    type = LowerDBlockFromSidesetGenerator
    input = combined_mesh
    sidesets = '11'
    new_block_id = '10001'
    new_block_name = 'secondary_lower'
  []
  [right_lower]
    type = LowerDBlockFromSidesetGenerator
    input = left_lower
    sidesets = '23'
    new_block_id = '10000'
    new_block_name = 'primary_lower'
  []
[]

[Variables]
  [normal_lm]
    block = 'secondary_lower'
    use_dual = true
  []
[]

[AuxVariables]
  [aux_lm]
    block = 'secondary_lower'
    use_dual = false
  []
[]

[Physics/SolidMechanics/QuasiStatic]
  [all]
    strain = FINITE
    incremental = true
    add_variables = true
    block = '1 2'
  []
[]

[Functions]
  [horizontal_movement]
    type = PiecewiseLinear
    x = '0 1.0'
    y = '0 0.4'
  []
  [vertical_movement]
    type = PiecewiseLinear
    x = '0 1.0'
    y = '0 0'
  []
[]

[BCs]
  [push_left_x]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 13
    function = horizontal_movement
  []
  [fix_right_x]
    type = DirichletBC
    variable = disp_x
    boundary = 21
    value = 0.0
  []
  [fix_right_y]
    type = DirichletBC
    variable = disp_y
    boundary = 21
    value = 0.0
  []
  [push_left_y]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 13
    function = vertical_movement
  []
[]

[Materials]
  [elasticity_tensor_left]
    type = ComputeIsotropicElasticityTensor
    block = 1
    youngs_modulus = 1.0e6
    poissons_ratio = 0.3
  []
  [stress_left]
    type = ComputeFiniteStrainElasticStress
    block = 1
  []

  [elasticity_tensor_right]
    type = ComputeIsotropicElasticityTensor
    block = 2
    youngs_modulus = 1.0e6
    poissons_ratio = 0.3
  []
  [stress_right]
    type = ComputeFiniteStrainElasticStress
    block = 2
  []
[]

[UserObjects]
  [weighted_gap_uo]
    type = LMWeightedGapUserObject
    primary_boundary = '23'
    secondary_boundary = '11'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    correct_edge_dropping = true
    lm_variable = normal_lm
    disp_x = disp_x
    disp_y = disp_y
    use_petrov_galerkin = true
    aux_lm = aux_lm
  []
[]

[Constraints]
  [normal_lm]
    type = ComputeWeightedGapLMMechanicalContact
    primary_boundary = '23'
    secondary_boundary = '11'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    variable = normal_lm
    disp_x = disp_x
    disp_y = disp_y
    use_displaced_mesh = true
    correct_edge_dropping = true
    weighted_gap_uo = weighted_gap_uo
  []
  [normal_x]
    type = NormalMortarMechanicalContact
    primary_boundary = '23'
    secondary_boundary = '11'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    variable = normal_lm
    secondary_variable = disp_x
    component = x
    use_displaced_mesh = true
    compute_lm_residuals = false
    correct_edge_dropping = true
    weighted_gap_uo = weighted_gap_uo
  []
  [normal_y]
    type = NormalMortarMechanicalContact
    primary_boundary = '23'
    secondary_boundary = '11'
    primary_subdomain = 'primary_lower'
    secondary_subdomain = 'secondary_lower'
    variable = normal_lm
    secondary_variable = disp_y
    component = y
    use_displaced_mesh = true
    compute_lm_residuals = false
    correct_edge_dropping = true
    weighted_gap_uo = weighted_gap_uo
  []
[]

[Preconditioning]
  [SMP]
    type = SMP
    full = true
  []
[]

[Executioner]
  type = Transient
  solve_type = 'PJFNK'

  petsc_options_iname = '-pc_type -pc_factor_mat_solver_type -pc_factor_shift_type '
                        '-pc_factor_shift_amount'
  petsc_options_value = 'lu    superlu_dist nonzero 1e-10'

  line_search = 'none'

  dt = 0.1
  dtmin = 0.01
  end_time = 1.0

  l_max_its = 20

  nl_max_its = 20
  nl_rel_tol = 1e-8
  nl_abs_tol = 1e-10
[]

[Outputs]
  csv = true
  execute_on = 'FINAL'
[]

[Postprocessors]
  [contact]
    type = ContactDOFSetSize
    variable = normal_lm
    subdomain = 'secondary_lower'
  []
  [normal_lm]
    type = ElementAverageValue
    variable = normal_lm
    block = 'secondary_lower'
  []
  [avg_disp_x]
    type = ElementAverageValue
    variable = disp_x
    block = '1 2'
  []
  [avg_disp_y]
    type = ElementAverageValue
    variable = disp_y
    block = '1 2'
  []
  [max_disp_x]
    type = ElementExtremeValue
    variable = disp_x
    block = '1 2'
  []
  [max_disp_y]
    type = ElementExtremeValue
    variable = disp_y
    block = '1 2'
  []
  [min_disp_x]
    type = ElementExtremeValue
    variable = disp_x
    block = '1 2'
    value_type = min
  []
  [min_disp_y]
    type = ElementExtremeValue
    variable = disp_y
    block = '1 2'
    value_type = min
  []
[]

(modules/combined/test/tests/cavity_pressure/multiple_postprocessors.i)

#
# Cavity Pressure Test (Volume input as a vector of postprocessors)
#
# This test is designed to compute an internal pressure based on
#   p = n * R * T / V
# where
#   p is the pressure
#   n is the amount of material in the volume (moles)
#   R is the universal gas constant
#   T is the temperature
#   V is the volume
#
# The mesh is composed of one block (1) with an interior cavity of volume 8.
#   Block 2 sits in the cavity and has a volume of 1.  Thus, the total
#   initial volume is 7.
# The test adjusts n, T, and V in the following way:
#   n => n0 + alpha * t
#   T => T0 + beta * t
#   V => V0 + gamma * t
# with
#   alpha = n0
#   beta = T0 / 2
#   gamma = - (0.003322259...) * V0
#   T0 = 240.54443866068704
#   V0 = 7
#   n0 = f(p0)
#   p0 = 100
#   R = 8.314472 J * K^(-1) * mol^(-1)
#
# So, n0 = p0 * V0 / R / T0 = 100 * 7 / 8.314472 / 240.544439
#        = 0.35
#
# In this test the internal volume is calculated as the sum of two Postprocessors
# internalVolumeInterior and internalVolumeExterior.  This sum equals the value
# reported by the internalVolume postprocessor.
#
# The parameters combined at t = 1 gives p = 301.
#

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
  volumetric_locking_correction = true
[]

[Mesh]
  file = 3d.e
[]

[Functions]
  [displ_positive]
    type = PiecewiseLinear
    x = '0 1'
    y = '0 0.0029069767441859684'
  []
  [displ_negative]
    type = PiecewiseLinear
    x = '0 1'
    y = '0 -0.0029069767441859684'
  []
  [temp1]
    type = PiecewiseLinear
    x = '0 1'
    y = '1 1.5'
    scale_factor = 240.54443866068704
  []
  [material_input_function]
    type = PiecewiseLinear
    x = '0    1'
    y = '0 0.35'
  []
[]

[Variables]
  [disp_x]
  []
  [disp_y]
  []
  [disp_z]
  []
  [temp]
    initial_condition = 240.54443866068704
  []
  [material_input]
  []
[]

[AuxVariables]
  [pressure_residual_x]
  []
  [pressure_residual_y]
  []
  [pressure_residual_z]
  []
  [stress_xx]
    order = CONSTANT
    family = MONOMIAL
  []
  [stress_yy]
    order = CONSTANT
    family = MONOMIAL
  []
  [stress_zz]
    order = CONSTANT
    family = MONOMIAL
  []
  [stress_xy]
    order = CONSTANT
    family = MONOMIAL
  []
  [stress_yz]
    order = CONSTANT
    family = MONOMIAL
  []
  [stress_zx]
    order = CONSTANT
    family = MONOMIAL
  []
[]

[Kernels]
  [TensorMechanics]
    use_displaced_mesh = true
  []
  [heat]
    type = Diffusion
    variable = temp
    use_displaced_mesh = true
  []
  [material_input_dummy]
    type = Diffusion
    variable = material_input
    use_displaced_mesh = true
  []
[]

[AuxKernels]
  [stress_xx]
    type = RankTwoAux
    rank_two_tensor = stress
    index_i = 0
    index_j = 0
    variable = stress_xx
  []
  [stress_yy]
    type = RankTwoAux
    rank_two_tensor = stress
    index_i = 1
    index_j = 1
    variable = stress_yy
  []
  [stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    index_i = 2
    index_j = 2
    variable = stress_zz
  []
  [stress_xy]
    type = RankTwoAux
    rank_two_tensor = stress
    index_i = 0
    index_j = 1
    variable = stress_xy
  []
  [stress_yz]
    type = RankTwoAux
    rank_two_tensor = stress
    index_i = 1
    index_j = 2
    variable = stress_yz
  []
  [stress_zx]
    type = RankTwoAux
    rank_two_tensor = stress
    index_i = 2
    index_j = 0
    variable = stress_zx
  []
[]

[BCs]
  [no_x_exterior]
    type = DirichletBC
    variable = disp_x
    boundary = '7 8'
    value = 0.0
  []
  [no_y_exterior]
    type = DirichletBC
    variable = disp_y
    boundary = '9 10'
    value = 0.0
  []
  [no_z_exterior]
    type = DirichletBC
    variable = disp_z
    boundary = '11 12'
    value = 0.0
  []
  [prescribed_left]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 13
    function = displ_positive
  []
  [prescribed_right]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 14
    function = displ_negative
  []
  [no_y]
    type = DirichletBC
    variable = disp_y
    boundary = '15 16'
    value = 0.0
  []
  [no_z]
    type = DirichletBC
    variable = disp_z
    boundary = '17 18'
    value = 0.0
  []
  [no_x_interior]
    type = DirichletBC
    variable = disp_x
    boundary = '1 2'
    value = 0.0
  []
  [no_y_interior]
    type = DirichletBC
    variable = disp_y
    boundary = '3 4'
    value = 0.0
  []
  [no_z_interior]
    type = DirichletBC
    variable = disp_z
    boundary = '5 6'
    value = 0.0
  []
  [temperatureInterior]
    type = FunctionDirichletBC
    boundary = 100
    function = temp1
    variable = temp
  []
  [MaterialInput]
    type = FunctionDirichletBC
    boundary = '100 13 14 15 16'
    function = material_input_function
    variable = material_input
  []
  [CavityPressure]
    [1]
      boundary = 100
      initial_pressure = 100
      material_input = materialInput
      R = 8.314472
      temperature = aveTempInterior
      volume = 'internalVolumeInterior internalVolumeExterior'
      startup_time = 0.5
      output = ppress
      save_in = 'pressure_residual_x pressure_residual_y pressure_residual_z'
    []
  []
[]

[Materials]
  [elast_tensor1]
    type = ComputeIsotropicElasticityTensor
    youngs_modulus = 1e1
    poissons_ratio = 0
    block = 1
  []
  [strain1]
    type = ComputeFiniteStrain
    block = 1
  []
  [stress1]
    type = ComputeFiniteStrainElasticStress
    block = 1
  []
  [elast_tensor2]
    type = ComputeIsotropicElasticityTensor
    youngs_modulus = 1e6
    poissons_ratio = 0
    block = 2
  []
  [strain2]
    type = ComputeFiniteStrain
    block = 2
  []
  [stress2]
    type = ComputeFiniteStrainElasticStress
    block = 2
  []
[]

[Executioner]
  type = Transient

  petsc_options_iname = '-pc_type -sub_pc_type'
  petsc_options_value = 'asm       lu'

  nl_rel_tol = 1e-12
  l_tol = 1e-12

  l_max_its = 20

  dt = 0.5
  end_time = 1.0
  use_pre_SMO_residual = true
[]

[Postprocessors]
  [internalVolume]
    type = InternalVolume
    boundary = 100
    execute_on = 'initial linear'
  []
  [aveTempInterior]
    type = SideAverageValue
    boundary = 100
    variable = temp
    execute_on = 'initial linear'
  []
  [internalVolumeInterior]
    type = InternalVolume
    boundary = '1 2 3 4 5 6'
    execute_on = 'initial linear'
  []
  [internalVolumeExterior]
    type = InternalVolume
    boundary = '13 14 15 16 17 18'
    execute_on = 'initial linear'
  []
  [materialInput]
    type = SideAverageValue
    boundary = '7 8 9 10 11 12'
    variable = material_input
    execute_on = linear
  []
[]

[Outputs]
  exodus = true
[]

(modules/solid_mechanics/test/tests/central_difference/lumped/3D/3d_nodalmass_explicit.i)

# Test for the CentralDifference time integrator

[Mesh]
  [./generated_mesh]
    type = GeneratedMeshGenerator
    dim = 3
    nx = 1
    ny = 1
    nz = 2
    xmin = 0.0
    xmax = 1
    ymin = 0.0
    ymax = 1
    zmin = 0.0
    zmax = 2
  [../]
  [./all_nodes]
    type = BoundingBoxNodeSetGenerator
    new_boundary = 'all'
    input = 'generated_mesh'
    top_right = '1 1 2'
    bottom_left = '0 0 0'
  [../]
[]

[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
[]

[AuxVariables]
  [./vel_x]
  [../]
  [./accel_x]
  [../]
  [./vel_y]
  [../]
  [./accel_y]
  [../]
  [./vel_z]
  [../]
  [./accel_z]
  [../]
[]

[Kernels]
  [./DynamicSolidMechanics]
    displacements = 'disp_x disp_y disp_z'
  [../]
[]

[AuxKernels]
  [./accel_x]
    type = TestNewmarkTI
    variable = accel_x
    displacement = disp_x
    first = false
  [../]
  [./vel_x]
    type = TestNewmarkTI
    variable = vel_x
    displacement = disp_x
  [../]
  [./accel_y]
    type = TestNewmarkTI
    variable = accel_y
    displacement = disp_y
    first = false
  [../]
  [./vel_y]
    type = TestNewmarkTI
    variable = vel_y
    displacement = disp_y
  [../]
  [./accel_z]
    type = TestNewmarkTI
    variable = accel_z
    displacement = disp_z
    first = false
  [../]
  [./vel_z]
    type = TestNewmarkTI
    variable = vel_z
    displacement = disp_z
  [../]
[]

[BCs]
  [./x_bot]
    type = FunctionDirichletBC
    boundary = 'back'
    variable = disp_x
    function = dispx
    preset = false
  [../]
  [./y_bot]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = back
    function = dispy
    preset = false
  [../]
  [./z_bot]
    type = FunctionDirichletBC
    variable = disp_z
    boundary = back
    function = dispz
    preset = false
  [../]
[]

[Functions]
  [./dispx]
    type = PiecewiseLinear
    x = '0.0 1.0 2.0 3.0 4.0' # time
    y = '0.0 1.0 0.0 -1.0 0.0'  # displacement
  [../]
  [./dispy]
    type = ParsedFunction
    expression = 0.1*t*t*sin(10*t)
  [../]
  [./dispz]
    type = ParsedFunction
    expression = 0.1*t*t*sin(20*t)
  [../]
[]

[NodalKernels]
  [./nodal_mass_x]
    type = NodalTranslationalInertia
    boundary = 'all'
    nodal_mass_file = 'nodal_mass_file.csv'
    variable = 'disp_x'
  [../]
  [./nodal_mass_y]
    type = NodalTranslationalInertia
    boundary = 'all'
    nodal_mass_file = 'nodal_mass_file.csv'
    variable = 'disp_y'
  [../]
  [./nodal_mass_z]
    type = NodalTranslationalInertia
    boundary = 'all'
    nodal_mass_file = 'nodal_mass_file.csv'
    variable = 'disp_z'
  [../]
[]

[Materials]
  [./elasticity_tensor_block]
    type = ComputeIsotropicElasticityTensor
    youngs_modulus = 1e6
    poissons_ratio = 0.25
    block = 0
  [../]
  [./strain_block]
    type = ComputeIncrementalStrain
    block = 0
    displacements = 'disp_x disp_y disp_z'
    implicit = false
  [../]
  [./stress_block]
    type = ComputeFiniteStrainElasticStress
    block = 0
  [../]
[]

[Executioner]
  type = Transient
  start_time = -0.01
  end_time = 0.1
  dt = 0.005
  timestep_tolerance = 1e-6
  [./TimeIntegrator]
    type = CentralDifference
  [../]
[]

[Postprocessors]
  [./accel_10x]
    type = NodalVariableValue
    nodeid = 10
    variable = accel_x
  [../]
[]

[Outputs]
  exodus = false
  csv = true
[]

(modules/functional_expansion_tools/include/bcs/FXValueBC.h)

// This file is part of the MOOSE framework
// https://mooseframework.inl.gov
//
// All rights reserved, see COPYRIGHT for full restrictions
// https://github.com/idaholab/moose/blob/master/COPYRIGHT
//
// Licensed under LGPL 2.1, please see LICENSE for details
// https://www.gnu.org/licenses/lgpl-2.1.html

#pragma once

#include "FunctionDirichletBC.h"

/**
 * Defines an FX-based boundary condition that forces the values to match
 */
class FXValueBC : public FunctionDirichletBC
{
public:
  static InputParameters validParams();

  FXValueBC(const InputParameters & parameters);
};

Description
Preset boundary conditions
Example Input Syntax
Input Parameters
Input Files
Child Objects