NodalL2Norm

Computes the nodal L2-norm of the coupled variable, which is defined by summing the square of its value at every node and taking the square root.

var element = document.getElementById("moose-equation-3597a15d-1654-4082-a83c-02f3ebdd2d6f");katex.render("||u||_{L_2} = \\sqrt{\\sum_{\\text{nodes n}} u(n)^2}", element, {displayMode:true,throwOnError:false,macros:{"\\eqc":"\\,,","\\eqp":"\\,.","\\pd":"\\frac{\\partial #1}{\\partial #2}","\\pr":"\\left(#1\\right)","\\ddt":"\\frac{d #1}{d t}"}});

Example input syntax

In this example, the L2 norm of the variable saved is computed on block 0 at the end of every time step using a NodalL2Norm postprocessor.

[Postprocessors]
  [./left_flux]
    type = NodalSum
    variable = saved
    boundary = 1
  [../]
  [./saved_norm]
    type = NodalL2Norm
    variable = saved
    execute_on = timestep_end
    block = 0
  [../]
  [./saved_dirichlet_norm]
    type = NodalL2Norm
    variable = saved_dirichlet
    execute_on = timestep_end
    block = 0
  [../]
[]

Input Parameters

variableThe name of the variable that this postprocessor operates on
C++ Type:std::vector<VariableName>
Unit:(no unit assumed)
Controllable:No
Description:The name of the variable that this postprocessor operates on

Required Parameters

blockThe list of blocks (ids or names) that this object will be applied
C++ Type:std::vector<SubdomainName>
Unit:(no unit assumed)
Controllable:No
Description:The list of blocks (ids or names) that this object will be applied
boundaryThe list of boundaries (ids or names) from the mesh where this object applies
C++ Type:std::vector<BoundaryName>
Unit:(no unit assumed)
Controllable:No
Description:The list of boundaries (ids or names) from the mesh where this object applies
execute_onTIMESTEP_ENDThe list of flag(s) indicating when this object should be executed. For a description of each flag, see https://mooseframework.inl.gov/source/interfaces/SetupInterface.html.
Default:TIMESTEP_END
C++ Type:ExecFlagEnum
Unit:(no unit assumed)
Options:XFEM_MARK, FORWARD, ADJOINT, HOMOGENEOUS_FORWARD, ADJOINT_TIMESTEP_BEGIN, ADJOINT_TIMESTEP_END, NONE, INITIAL, LINEAR, NONLINEAR_CONVERGENCE, NONLINEAR, POSTCHECK, TIMESTEP_END, TIMESTEP_BEGIN, MULTIAPP_FIXED_POINT_END, MULTIAPP_FIXED_POINT_BEGIN, FINAL, CUSTOM, TRANSFER
Controllable:No
Description:The list of flag(s) indicating when this object should be executed. For a description of each flag, see https://mooseframework.inl.gov/source/interfaces/SetupInterface.html.
unique_node_executeTrueWhen false (default), block restricted objects will have the execute method called multiple times on a single node if the node lies on a interface between two subdomains.
Default:True
C++ Type:bool
Unit:(no unit assumed)
Controllable:No
Description:When false (default), block restricted objects will have the execute method called multiple times on a single node if the node lies on a interface between two subdomains.

Optional Parameters

allow_duplicate_execution_on_initialFalseIn the case where this UserObject is depended upon by an initial condition, allow it to be executed twice during the initial setup (once before the IC and again after mesh adaptivity (if applicable).
Default:False
C++ Type:bool
Unit:(no unit assumed)
Controllable:No
Description:In the case where this UserObject is depended upon by an initial condition, allow it to be executed twice during the initial setup (once before the IC and again after mesh adaptivity (if applicable).
control_tagsAdds user-defined labels for accessing object parameters via control logic.
C++ Type:std::vector<std::string>
Unit:(no unit assumed)
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
Unit:(no unit assumed)
Controllable:Yes
Description:Set the enabled status of the MooseObject.
execution_order_group0Execution order groups are executed in increasing order (e.g., the lowest number is executed first). Note that negative group numbers may be used to execute groups before the default (0) group. Please refer to the user object documentation for ordering of user object execution within a group.
Default:0
C++ Type:int
Unit:(no unit assumed)
Controllable:No
Description:Execution order groups are executed in increasing order (e.g., the lowest number is executed first). Note that negative group numbers may be used to execute groups before the default (0) group. Please refer to the user object documentation for ordering of user object execution within a group.
force_postauxFalseForces the UserObject to be executed in POSTAUX
Default:False
C++ Type:bool
Unit:(no unit assumed)
Controllable:No
Description:Forces the UserObject to be executed in POSTAUX
force_preauxFalseForces the UserObject to be executed in PREAUX
Default:False
C++ Type:bool
Unit:(no unit assumed)
Controllable:No
Description:Forces the UserObject to be executed in PREAUX
force_preicFalseForces the UserObject to be executed in PREIC during initial setup
Default:False
C++ Type:bool
Unit:(no unit assumed)
Controllable:No
Description:Forces the UserObject to be executed in PREIC during initial setup
outputsVector of output names where you would like to restrict the output of variables(s) associated with this object
C++ Type:std::vector<OutputName>
Unit:(no unit assumed)
Controllable:No
Description:Vector of output names where you would like to restrict the output of variables(s) associated with this object
seed0The seed for the master random number generator
Default:0
C++ Type:unsigned int
Unit:(no unit assumed)
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
Unit:(no unit assumed)
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

Input Files

(modules/contact/test/tests/verification/patch_tests/brick_1/brick1_template2.i)
(modules/contact/test/tests/verification/patch_tests/ring_4/ring4_mu_0_2_pen.i)
(test/tests/misc/save_in/diag_save_in_soln_var_err_test.i)
(modules/contact/test/tests/verification/patch_tests/cyl_4/cyl4_mu_0_2_pen.i)
(modules/contact/test/tests/verification/patch_tests/brick_1/brick1_template1.i)
(modules/contact/test/tests/verification/patch_tests/brick_2/brick2_mu_0_2_pen.i)
(modules/combined/test/tests/reference_residual/reference_residual.i)
(modules/contact/test/tests/verification/patch_tests/cyl_1/cyl1_mu_0_2_pen.i)
(modules/contact/test/tests/frictional/single_point_2d/single_point_2d.i)
(modules/contact/test/tests/frictional/single_point_2d/single_point_2d_tp.i)
(modules/contact/test/tests/frictional/sliding_elastic_blocks_2d/sliding_elastic_blocks_2d_tp.i)
(modules/geochemistry/test/tests/kernels/time_deriv_2.i)
(modules/contact/test/tests/verification/patch_tests/ring_1/ring1_mu_0_2_pen.i)
(modules/geochemistry/test/tests/kernels/time_deriv_1.i)
(modules/contact/test/tests/verification/patch_tests/ring_1/ring1_template1.i)
(modules/contact/test/tests/verification/patch_tests/brick_3/brick3_mu_0_2_pen.i)
(modules/contact/test/tests/verification/patch_tests/plane_1/plane1_template1.i)
(modules/contact/test/tests/verification/patch_tests/plane_4/plane4_template1.i)
(modules/contact/test/tests/verification/patch_tests/plane_4/plane4_template2.i)
(modules/contact/test/tests/verification/patch_tests/cyl_3/cyl3_template2.i)
(test/tests/misc/save_in/save_in_soln_var_err_test.i)
(modules/contact/test/tests/verification/patch_tests/brick_3/brick3_template2.i)
(modules/contact/test/tests/verification/patch_tests/brick_4/brick4_template2.i)
(modules/contact/test/tests/verification/patch_tests/plane_3/plane3_template1.i)
(modules/contact/test/tests/verification/patch_tests/cyl_3/cyl3_template1.i)
(modules/contact/test/tests/frictional/single_point_2d/single_point_2d_predictor.i)
(modules/contact/test/tests/verification/patch_tests/ring_1/ring1_template2.i)
(modules/contact/test/tests/verification/patch_tests/brick_2/brick2_template1.i)
(modules/contact/test/tests/verification/patch_tests/plane_2/plane2_template2.i)
(modules/contact/test/tests/verification/patch_tests/brick_1/brick1_aug.i)
(modules/contact/test/tests/verification/patch_tests/cyl_4/cyl4_template1.i)
(modules/contact/test/tests/verification/patch_tests/cyl_2/cyl2_mu_0_2_pen.i)
(modules/contact/test/tests/verification/patch_tests/brick_1/brick1_mu_0_2_pen.i)
(modules/contact/test/tests/verification/hertz_cyl/quart_symm_q4/hertz_cyl_qsym_1deg_template1.i)
(modules/contact/test/tests/verification/patch_tests/plane_1/plane1_mu_0_2_pen.i)
(modules/contact/test/tests/verification/patch_tests/plane_3/plane3_mu_0_2_pen.i)
(modules/contact/test/tests/verification/patch_tests/brick_3/brick3_template1.i)
(modules/contact/test/tests/verification/patch_tests/brick_2/brick2_template2.i)
(modules/contact/test/tests/verification/patch_tests/cyl_4/cyl4_template2.i)
(modules/contact/test/tests/verification/patch_tests/ring_3/ring3_mu_0_2_pen.i)
(test/tests/tag/old_eigen_tag.i)
(modules/contact/test/tests/verification/patch_tests/brick_4/brick4_mu_0_2_pen.i)
(modules/contact/test/tests/verification/patch_tests/ring_2/ring2_mu_0_2_pen.i)
(modules/contact/test/tests/verification/overclosure_removal/overclosure.i)
(modules/stochastic_tools/examples/surrogates/pod_rb/2d_multireg/sub.i)
(modules/contact/test/tests/verification/patch_tests/plane_3/plane3_template2.i)
(modules/contact/test/tests/verification/patch_tests/ring_3/ring3_template1.i)
(modules/contact/test/tests/verification/patch_tests/ring_2/ring2_template2.i)
(modules/contact/test/tests/verification/patch_tests/cyl_1/cyl1_template2.i)
(modules/contact/test/tests/verification/patch_tests/plane_2/plane2_template1.i)
(modules/contact/test/tests/verification/patch_tests/cyl_2/cyl2_template2.i)
(modules/contact/test/tests/verification/patch_tests/ring_4/ring4_template2.i)
(test/tests/misc/save_in/save_in_test.i)
(modules/contact/test/tests/verification/patch_tests/cyl_2/cyl2_template1.i)
(modules/contact/test/tests/verification/patch_tests/cyl_1/cyl1_template1.i)
(modules/contact/test/tests/verification/patch_tests/cyl_3/cyl3_mu_0_2_pen.i)
(modules/contact/test/tests/verification/patch_tests/plane_2/plane2_mu_0_2_pen.i)
(modules/contact/test/tests/verification/patch_tests/brick_4/brick4_template1.i)
(modules/contact/test/tests/verification/patch_tests/ring_2/ring2_template1.i)
(modules/contact/test/tests/verification/patch_tests/ring_3/ring3_template2.i)
(modules/contact/test/tests/verification/patch_tests/ring_4/ring4_template1.i)
(modules/contact/test/tests/verification/patch_tests/plane_4/plane4_mu_0_2_pen.i)
(modules/contact/test/tests/verification/patch_tests/plane_1/plane1_template2.i)
(modules/contact/test/tests/frictional/sliding_elastic_blocks_2d/sliding_elastic_blocks_2d.i)
(modules/contact/test/tests/verification/patch_tests/brick_2/brick2_aug.i)

(test/tests/misc/save_in/diag_save_in_soln_var_err_test.i)

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

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

[AuxVariables]
  [./saved]
  [../]
  [./bc_saved]
  [../]
  [./accumulated]
  [../]
  [./diag_saved]
  [../]
  [./bc_diag_saved]
  [../]
  [./saved_dirichlet]
  [../]
  [./diag_saved_dirichlet]
  [../]
[]

[Kernels]
  [./diff]
    type = Diffusion
    variable = u
    save_in = 'saved accumulated saved_dirichlet'
    diag_save_in = 'u diag_saved diag_saved_dirichlet'
  [../]
[]

[BCs]
  [./left]
    type = DirichletBC
    variable = u
    boundary = left
    value = 0
    save_in = saved_dirichlet
    diag_save_in = diag_saved_dirichlet
  [../]
  [./nbc]
    type = NeumannBC
    variable = u
    boundary = right
    value = 1
    save_in = 'bc_saved accumulated'
    diag_save_in = bc_diag_saved
  [../]
[]

[Postprocessors]
  [./left_flux]
    type = NodalSum
    variable = saved
    boundary = 1
  [../]
  [./saved_norm]
    type = NodalL2Norm
    variable = saved
    execute_on = timestep_end
    block = 0
  [../]
  [./saved_dirichlet_norm]
    type = NodalL2Norm
    variable = saved_dirichlet
    execute_on = timestep_end
    block = 0
  [../]
[]

[Executioner]
  type = Steady

  solve_type = 'PJFNK'

  petsc_options_iname = '-pc_type -pc_hypre_type'
  petsc_options_value = 'hypre boomeramg'
[]

[Outputs]
  file_base = out
  exodus = true
[]

(modules/contact/test/tests/verification/patch_tests/brick_1/brick1_template2.i)

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

[Mesh]
  file = brick1_mesh.e
[]

[Problem]
  type = AugmentedLagrangianContactProblem
  maximum_lagrangian_update_iterations = 200
  extra_tag_vectors = 'ref'
  reference_vector = 'ref'
[]

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

[AuxVariables]
  [./stress_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./penetration]
  [../]
  [./saved_x]
  [../]
  [./saved_y]
  [../]
  [./saved_z]
  [../]
  [./diag_saved_x]
  [../]
  [./diag_saved_y]
  [../]
  [./diag_saved_z]
  [../]
  [./inc_slip_x]
  [../]
  [./inc_slip_y]
  [../]
  [./inc_slip_z]
  [../]
  [./accum_slip_x]
  [../]
  [./accum_slip_y]
  [../]
  [./accum_slip_z]
  [../]
[]

[Kernels]
  [./TensorMechanics]
    use_displaced_mesh = true
    save_in = 'saved_x saved_y saved_z'
    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
  [../]
  [./stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zz
    index_i = 2
    index_j = 2
    execute_on = timestep_end
  [../]
  [./inc_slip_x]
    type = PenetrationAux
    variable = inc_slip_x
    execute_on = timestep_begin
    boundary = 4
    paired_boundary = 3
  [../]
  [./inc_slip_y]
    type = PenetrationAux
    variable = inc_slip_y
    execute_on = timestep_begin
    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
  [../]
[]

[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
  [../]
  [./sigma_yy]
    type = ElementAverageValue
    variable = stress_yy
  [../]
  [./sigma_zz]
    type = ElementAverageValue
    variable = stress_zz
  [../]
  [./disp_x5]
    type = NodalVariableValue
    nodeid = 4
    variable = disp_x
  [../]
  [./disp_x8]
    type = NodalVariableValue
    nodeid = 7
    variable = disp_x
  [../]
  [./disp_x13]
    type = NodalVariableValue
    nodeid = 12
    variable = disp_x
  [../]
  [./disp_x16]
    type = NodalVariableValue
    nodeid = 15
    variable = disp_x
  [../]
  [./disp_y5]
    type = NodalVariableValue
    nodeid = 4
    variable = disp_y
  [../]
  [./disp_y8]
    type = NodalVariableValue
    nodeid = 7
    variable = disp_y
  [../]
  [./disp_y13]
    type = NodalVariableValue
    nodeid = 12
    variable = disp_y
  [../]
  [./disp_y16]
    type = NodalVariableValue
    nodeid = 15
    variable = disp_y
  [../]
  [./_dt]
    type = TimestepSize
  [../]
  [./num_lin_it]
    type = NumLinearIterations
  [../]
  [./num_nonlin_it]
    type = NumNonlinearIterations
  [../]
[]

[BCs]
  [./bot_y]
    type = DirichletBC
    variable = disp_y
    boundary = 1
    value = 0.0
  [../]
  [./side_x]
    type = DirichletBC
    variable = disp_x
    boundary = 2
    value = 0.0
  [../]
  [./back_z]
    type = DirichletBC
    variable = disp_z
    boundary = 6
    value = 0.0
  [../]
  [./top_press]
    type = Pressure
    variable = disp_y
    boundary = 5
    factor = 109.89
  [../]
[]

[Materials]
  [./bot_elas_tens]
    type = ComputeIsotropicElasticityTensor
    block = '1'
    youngs_modulus = 1e6
    poissons_ratio = 0.3
  [../]
  [./bot_strain]
    type = ComputeFiniteStrain
    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 = ComputeFiniteStrain
    block = '2'
  [../]
  [./top_stress]
    type = ComputeFiniteStrainElasticStress
    block = '2'
  [../]
[]

[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-9
  nl_rel_tol = 1e-8
  l_max_its = 50
  nl_max_its = 100
  dt = 1.0
  end_time = 1.0
  num_steps = 10
  dtmin = 1.0
  l_tol = 1e-5
[]

[VectorPostprocessors]
  [./x_disp]
    type = NodalValueSampler
    variable = disp_x
    boundary = '1 3 4 5'
    sort_by = id
  [../]
  [./y_disp]
    type = NodalValueSampler
    variable = disp_y
    boundary = '1 3 4 5'
    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 = 'bot_react_x bot_react_y disp_x5 disp_x8 disp_x13 disp_x16 disp_y5 disp_y8 disp_y13 disp_y16 stress_yy stress_zz top_react_x top_react_y x_disp y_disp cont_press'
    execute_vector_postprocessors_on = timestep_end
  [../]
  [./outfile]
    type = CSV
    delimiter = ' '
    execute_vector_postprocessors_on = none
  [../]
[]

[Contact]
  [./leftright]
    secondary = 3
    primary = 4
    normalize_penalty = true
    tangential_tolerance = 1e-3
    penalty = 5e+9
    al_penetration_tolerance = 1e-8
  [../]
[]

(modules/contact/test/tests/verification/patch_tests/ring_4/ring4_mu_0_2_pen.i)

[GlobalParams]
  order = SECOND
  displacements = 'disp_x disp_y'
[]

[Mesh]
  file = ring4_mesh.e
[]

[Problem]
  type = FEProblem
  coord_type = RZ
[]

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

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

[Kernels]
  [./TensorMechanics]
    use_displaced_mesh = true
    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
  [../]
  [./stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zz
    index_i = 2
    index_j = 2
    execute_on = timestep_end
  [../]
  [./inc_slip_x]
    type = PenetrationAux
    variable = inc_slip_x
    execute_on = timestep_end
    boundary = 3
    paired_boundary = 4
  [../]
  [./inc_slip_y]
    type = PenetrationAux
    variable = inc_slip_y
    execute_on = timestep_end
    boundary = 3
    paired_boundary = 4
  [../]
  [./accum_slip_x]
    type = PenetrationAux
    variable = accum_slip_x
    execute_on = timestep_end
    boundary = 3
    paired_boundary = 4
  [../]
  [./accum_slip_y]
    type = PenetrationAux
    variable = accum_slip_y
    execute_on = timestep_end
    boundary = 3
    paired_boundary = 4
  [../]
  [./penetration]
    type = PenetrationAux
    variable = penetration
    boundary = 3
    paired_boundary = 4
  [../]
  [./tang_force_x]
    type = PenetrationAux
    variable = tang_force_x
    quantity = tangential_force_x
    boundary = 3
    paired_boundary = 4
  [../]
  [./tang_force_y]
    type = PenetrationAux
    variable = tang_force_y
    quantity = tangential_force_y
    boundary = 3
    paired_boundary = 4
  [../]
[] # AuxKernels

[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
  [../]
  [./sigma_yy]
    type = ElementAverageValue
    variable = stress_yy
  [../]
  [./sigma_zz]
    type = ElementAverageValue
    variable = stress_zz
  [../]
  [./disp_x16]
    type = NodalVariableValue
    nodeid = 15
    variable = disp_x
  [../]
  [./disp_x9]
    type = NodalVariableValue
    nodeid = 8
    variable = disp_x
  [../]
  [./disp_y16]
    type = NodalVariableValue
    nodeid = 15
    variable = disp_y
  [../]
  [./disp_y9]
    type = NodalVariableValue
    nodeid = 8
    variable = disp_y
  [../]
  [./_dt]
    type = TimestepSize
  [../]
  [./num_lin_it]
    type = NumLinearIterations
  [../]
  [./num_nonlin_it]
    type = NumNonlinearIterations
  [../]
[]

[BCs]
  [./bot_y]
    type = DirichletBC
    variable = disp_y
    boundary = 1
    value = 0.0
  [../]
  [./top_press]
    type = Pressure
    variable = disp_y
    boundary = 5
    factor = 109.89
  [../]
[]

[Materials]
  [./bot_elas_tens]
    type = ComputeIsotropicElasticityTensor
    block = '1'
    youngs_modulus = 1e6
    poissons_ratio = 0.3
  [../]
  [./bot_strain]
    type = ComputeAxisymmetricRZIncrementalStrain
    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 = ComputeAxisymmetricRZIncrementalStrain
    block = '2'
  [../]
  [./top_stress]
    type = ComputeFiniteStrainElasticStress
    block = '2'
  [../]
[]

[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-9
  nl_rel_tol = 1e-8
  l_max_its = 100
  nl_max_its = 1000
  dt = 1.0
  end_time = 1.0
  num_steps = 10
  dtmin = 1.0
  l_tol = 1e-3
[]

[VectorPostprocessors]
  [./x_disp]
    type = NodalValueSampler
    variable = disp_x
    boundary = '1 3 4 5'
    sort_by = x
  [../]
  [./cont_press]
    type = NodalValueSampler
    variable = contact_pressure
    boundary = '3'
    sort_by = x
  [../]
[]

[Outputs]
  file_base = ring4_mu_0_2_pen_out
  print_linear_residuals = true
  perf_graph = true
  [./exodus]
    type = Exodus
    elemental_as_nodal = true
  [../]
  [./console]
    type = Console
    max_rows = 5
  [../]
  [./chkfile]
    type = CSV
    file_base = ring4_mu_0_2_pen_check
    show = 'bot_react_x bot_react_y disp_x9 disp_y9 disp_x16 disp_y16 sigma_yy sigma_zz top_react_x top_react_y x_disp cont_press'
    execute_vector_postprocessors_on = timestep_end
  [../]
  [./outfile]
    type = CSV
    delimiter = ' '
    execute_vector_postprocessors_on = none
  [../]
[]

[Contact]
  [./leftright]
    secondary = 3
    primary = 4
    model = coulomb
    formulation = penalty
    normalize_penalty = true
    friction_coefficient = 0.2
    tangential_tolerance = 1e-3
    penalty = 1e+9
  [../]
[]

(test/tests/misc/save_in/diag_save_in_soln_var_err_test.i)

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

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

[AuxVariables]
  [./saved]
  [../]
  [./bc_saved]
  [../]
  [./accumulated]
  [../]
  [./diag_saved]
  [../]
  [./bc_diag_saved]
  [../]
  [./saved_dirichlet]
  [../]
  [./diag_saved_dirichlet]
  [../]
[]

[Kernels]
  [./diff]
    type = Diffusion
    variable = u
    save_in = 'saved accumulated saved_dirichlet'
    diag_save_in = 'u diag_saved diag_saved_dirichlet'
  [../]
[]

[BCs]
  [./left]
    type = DirichletBC
    variable = u
    boundary = left
    value = 0
    save_in = saved_dirichlet
    diag_save_in = diag_saved_dirichlet
  [../]
  [./nbc]
    type = NeumannBC
    variable = u
    boundary = right
    value = 1
    save_in = 'bc_saved accumulated'
    diag_save_in = bc_diag_saved
  [../]
[]

[Postprocessors]
  [./left_flux]
    type = NodalSum
    variable = saved
    boundary = 1
  [../]
  [./saved_norm]
    type = NodalL2Norm
    variable = saved
    execute_on = timestep_end
    block = 0
  [../]
  [./saved_dirichlet_norm]
    type = NodalL2Norm
    variable = saved_dirichlet
    execute_on = timestep_end
    block = 0
  [../]
[]

[Executioner]
  type = Steady

  solve_type = 'PJFNK'

  petsc_options_iname = '-pc_type -pc_hypre_type'
  petsc_options_value = 'hypre boomeramg'
[]

[Outputs]
  file_base = out
  exodus = true
[]

(modules/contact/test/tests/verification/patch_tests/cyl_4/cyl4_mu_0_2_pen.i)

[GlobalParams]
  order = SECOND
  displacements = 'disp_x disp_y'
[]

[Mesh]
  file = cyl4_mesh.e
[]

[Problem]
  type = FEProblem
  coord_type = RZ
[]

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

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

[Kernels]
  [./TensorMechanics]
    use_displaced_mesh = true
    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
  [../]
  [./stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zz
    index_i = 2
    index_j = 2
    execute_on = timestep_end
  [../]
  [./inc_slip_x]
    type = PenetrationAux
    variable = inc_slip_x
    execute_on = timestep_end
    boundary = 3
    paired_boundary = 4
  [../]
  [./inc_slip_y]
    type = PenetrationAux
    variable = inc_slip_y
    execute_on = timestep_end
    boundary = 3
    paired_boundary = 4
  [../]
  [./accum_slip_x]
    type = PenetrationAux
    variable = accum_slip_x
    execute_on = timestep_end
    boundary = 3
    paired_boundary = 4
  [../]
  [./accum_slip_y]
    type = PenetrationAux
    variable = accum_slip_y
    execute_on = timestep_end
    boundary = 3
    paired_boundary = 4
  [../]
  [./penetration]
    type = PenetrationAux
    variable = penetration
    boundary = 3
    paired_boundary = 4
  [../]
  [./tang_force_x]
    type = PenetrationAux
    variable = tang_force_x
    quantity = tangential_force_x
    boundary = 3
    paired_boundary = 4
  [../]
  [./tang_force_y]
    type = PenetrationAux
    variable = tang_force_y
    quantity = tangential_force_y
    boundary = 3
    paired_boundary = 4
  [../]
[] # AuxKernels

[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
  [../]
  [./stress_yy]
    type = ElementAverageValue
    variable = stress_yy
  [../]
  [./stress_zz]
    type = ElementAverageValue
    variable = stress_zz
  [../]
  [./disp_x16]
    type = NodalVariableValue
    nodeid = 15
    variable = disp_x
  [../]
  [./disp_x9]
    type = NodalVariableValue
    nodeid = 8
    variable = disp_x
  [../]
  [./disp_y16]
    type = NodalVariableValue
    nodeid = 15
    variable = disp_y
  [../]
  [./disp_y9]
    type = NodalVariableValue
    nodeid = 8
    variable = disp_y
  [../]
  [./_dt]
    type = TimestepSize
  [../]
  [./num_lin_it]
    type = NumLinearIterations
  [../]
  [./num_nonlin_it]
    type = NumNonlinearIterations
  [../]
[]

[BCs]
  [./bot_y]
    type = DirichletBC
    variable = disp_y
    boundary = 1
    value = 0.0
  [../]
  [./side_x]
    type = DirichletBC
    variable = disp_x
    boundary = 2
    value = 0.0
  [../]
  [./top_press]
    type = Pressure
    variable = disp_y
    boundary = 5
    factor = 109.89
  [../]
[]

[Materials]
  [./bot_elas_tens]
    type = ComputeIsotropicElasticityTensor
    block = '1'
    youngs_modulus = 1e6
    poissons_ratio = 0.3
  [../]
  [./bot_strain]
    type = ComputeAxisymmetricRZIncrementalStrain
    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 = ComputeAxisymmetricRZIncrementalStrain
    block = '2'
  [../]
  [./top_stress]
    type = ComputeFiniteStrainElasticStress
    block = '2'
  [../]
[]

[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 = 1000
  dt = 1.0
  end_time = 1.0
  num_steps = 10
  dtmin = 1.0
  l_tol = 1e-4
[]

[VectorPostprocessors]
  [./x_disp]
    type = NodalValueSampler
    variable = disp_x
    boundary = '1 3 4 5'
    sort_by = x
  [../]
  [./cont_press]
    type = NodalValueSampler
    variable = contact_pressure
    boundary = '3'
    sort_by = x
  [../]
[]

[Outputs]
  file_base = cyl4_mu_0_2_pen_out
  print_linear_residuals = true
  perf_graph = true
  [./exodus]
    type = Exodus
    elemental_as_nodal = true
  [../]
  [./console]
    type = Console
    max_rows = 5
  [../]
  [./chkfile]
    type = CSV
    file_base = cyl4_mu_0_2_pen_check
    show = 'bot_react_x bot_react_y disp_x9 disp_y9 disp_x16 disp_y16 stress_yy stress_zz top_react_x top_react_y x_disp cont_press'
    execute_vector_postprocessors_on = timestep_end
  [../]
  [./outfile]
    type = CSV
    delimiter = ' '
    execute_vector_postprocessors_on = none
  [../]
[]

[Contact]
  [./leftright]
    secondary = 3
    primary = 4
    model = coulomb
    formulation = penalty
    normalize_penalty = true
    friction_coefficient = 0.2
    tangential_tolerance = 1e-3
    penalty = 1e+9
  [../]
[]

(modules/contact/test/tests/verification/patch_tests/brick_1/brick1_template1.i)

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

[Mesh]
  file = brick1_mesh.e
[]

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

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

[AuxVariables]
  [./stress_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./penetration]
  [../]
  [./saved_x]
  [../]
  [./saved_y]
  [../]
  [./saved_z]
  [../]
  [./diag_saved_x]
  [../]
  [./diag_saved_y]
  [../]
  [./diag_saved_z]
  [../]
  [./inc_slip_x]
  [../]
  [./inc_slip_y]
  [../]
  [./inc_slip_z]
  [../]
  [./accum_slip_x]
  [../]
  [./accum_slip_y]
  [../]
  [./accum_slip_z]
  [../]
[]

[Kernels]
  [./TensorMechanics]
    use_displaced_mesh = true
    save_in = 'saved_x saved_y saved_z'
    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
  [../]
  [./stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zz
    index_i = 2
    index_j = 2
    execute_on = timestep_end
  [../]
  [./inc_slip_x]
    type = PenetrationAux
    variable = inc_slip_x
    execute_on = timestep_begin
    boundary = 4
    paired_boundary = 3
  [../]
  [./inc_slip_y]
    type = PenetrationAux
    variable = inc_slip_y
    execute_on = timestep_begin
    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
  [../]
[]

[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
  [../]
  [./sigma_yy]
    type = ElementAverageValue
    variable = stress_yy
  [../]
  [./sigma_zz]
    type = ElementAverageValue
    variable = stress_zz
  [../]
  [./disp_x5]
    type = NodalVariableValue
    nodeid = 4
    variable = disp_x
  [../]
  [./disp_x8]
    type = NodalVariableValue
    nodeid = 7
    variable = disp_x
  [../]
  [./disp_x13]
    type = NodalVariableValue
    nodeid = 12
    variable = disp_x
  [../]
  [./disp_x16]
    type = NodalVariableValue
    nodeid = 15
    variable = disp_x
  [../]
  [./disp_y5]
    type = NodalVariableValue
    nodeid = 4
    variable = disp_y
  [../]
  [./disp_y8]
    type = NodalVariableValue
    nodeid = 7
    variable = disp_y
  [../]
  [./disp_y13]
    type = NodalVariableValue
    nodeid = 12
    variable = disp_y
  [../]
  [./disp_y16]
    type = NodalVariableValue
    nodeid = 15
    variable = disp_y
  [../]
  [./_dt]
    type = TimestepSize
  [../]
  [./num_lin_it]
    type = NumLinearIterations
  [../]
  [./num_nonlin_it]
    type = NumNonlinearIterations
  [../]
[]

[BCs]
  [./bot_y]
    type = DirichletBC
    variable = disp_y
    boundary = 1
    value = 0.0
  [../]
  [./side_x]
    type = DirichletBC
    variable = disp_x
    boundary = 2
    value = 0.0
  [../]
  [./back_z]
    type = DirichletBC
    variable = disp_z
    boundary = 6
    value = 0.0
  [../]
  [./top_press]
    type = Pressure
    variable = disp_y
    boundary = 5
    factor = 109.89
  [../]
[]

[Materials]
  [./bot_elas_tens]
    type = ComputeIsotropicElasticityTensor
    block = '1'
    youngs_modulus = 1e6
    poissons_ratio = 0.3
  [../]
  [./bot_strain]
    type = ComputeFiniteStrain
    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 = ComputeFiniteStrain
    block = '2'
  [../]
  [./top_stress]
    type = ComputeFiniteStrainElasticStress
    block = '2'
  [../]
[]

[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-9
  nl_rel_tol = 1e-8
  l_max_its = 50
  nl_max_its = 100
  dt = 1.0
  end_time = 1.0
  num_steps = 10
  dtmin = 1.0
  l_tol = 1e-5
[]

[VectorPostprocessors]
  [./x_disp]
    type = NodalValueSampler
    variable = disp_x
    boundary = '1 3 4 5'
    sort_by = id
  [../]
  [./y_disp]
    type = NodalValueSampler
    variable = disp_y
    boundary = '1 3 4 5'
    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 = 'bot_react_x bot_react_y disp_x5 disp_x8 disp_x13 disp_x16 disp_y5 disp_y8 disp_y13 disp_y16 stress_yy stress_zz top_react_x top_react_y x_disp y_disp cont_press'
    execute_vector_postprocessors_on = timestep_end
  [../]
  [./outfile]
    type = CSV
    delimiter = ' '
    execute_vector_postprocessors_on = none
  [../]
[]

[Contact]
  [./leftright]
    secondary = 3
    primary = 4
    normalize_penalty = true
    tangential_tolerance = 1e-3
    penalty = 1e+9
  [../]
[]

(modules/contact/test/tests/verification/patch_tests/brick_2/brick2_mu_0_2_pen.i)

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

[Mesh]
  file = brick2_mesh.e
[]

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

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

[AuxVariables]
  [./stress_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./penetration]
  [../]
  [./saved_x]
  [../]
  [./saved_y]
  [../]
  [./saved_z]
  [../]
  [./diag_saved_x]
  [../]
  [./diag_saved_y]
  [../]
  [./diag_saved_z]
  [../]
  [./inc_slip_x]
  [../]
  [./inc_slip_y]
  [../]
  [./inc_slip_z]
  [../]
  [./accum_slip_x]
  [../]
  [./accum_slip_y]
  [../]
  [./accum_slip_z]
  [../]
  [./tang_force_x]
  [../]
  [./tang_force_y]
  [../]
  [./tang_force_z]
  [../]
[]

[Kernels]
  [./TensorMechanics]
    use_displaced_mesh = true
    save_in = 'saved_x saved_y saved_z'
    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
  [../]
  [./stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zz
    index_i = 2
    index_j = 2
    execute_on = timestep_end
  [../]
  [./inc_slip_x]
    type = PenetrationAux
    variable = inc_slip_x
    execute_on = timestep_end
    boundary = 3
    paired_boundary = 4
  [../]
  [./inc_slip_y]
    type = PenetrationAux
    variable = inc_slip_y
    execute_on = timestep_end
    boundary = 3
    paired_boundary = 4
  [../]
  [./accum_slip_x]
    type = PenetrationAux
    variable = accum_slip_x
    execute_on = timestep_end
    boundary = 3
    paired_boundary = 4
  [../]
  [./accum_slip_y]
    type = PenetrationAux
    variable = accum_slip_y
    execute_on = timestep_end
    boundary = 3
    paired_boundary = 4
  [../]
  [./penetration]
    type = PenetrationAux
    variable = penetration
    boundary = 3
    paired_boundary = 4
  [../]
  [./tang_force_x]
    type = PenetrationAux
    variable = tang_force_x
    quantity = tangential_force_x
    boundary = 3
    paired_boundary = 4
  [../]
  [./tang_force_y]
    type = PenetrationAux
    variable = tang_force_y
    quantity = tangential_force_y
    boundary = 3
    paired_boundary = 4
  [../]
[]

[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
  [../]
  [./sigma_yy]
    type = ElementAverageValue
    variable = stress_yy
  [../]
  [./sigma_zz]
    type = ElementAverageValue
    variable = stress_zz
  [../]
  [./disp_x7]
    type = NodalVariableValue
    nodeid = 6
    variable = disp_x
  [../]
  [./disp_x26]
    type = NodalVariableValue
    nodeid = 25
    variable = disp_x
  [../]
  [./disp_y7]
    type = NodalVariableValue
    nodeid = 6
    variable = disp_y
  [../]
  [./disp_y26]
    type = NodalVariableValue
    nodeid = 25
    variable = disp_y
  [../]
  [./_dt]
    type = TimestepSize
  [../]
  [./num_lin_it]
    type = NumLinearIterations
  [../]
  [./num_nonlin_it]
    type = NumNonlinearIterations
  [../]
[]

[BCs]
  [./bot_y]
    type = DirichletBC
    variable = disp_y
    boundary = 1
    value = 0.0
  [../]
  [./side_x]
    type = DirichletBC
    variable = disp_x
    boundary = 2
    value = 0.0
  [../]
  [./back_z]
    type = DirichletBC
    variable = disp_z
    boundary = 6
    value = 0.0
  [../]
  [./top_press]
    type = Pressure
    variable = disp_y
    boundary = 5
    factor = 109.89
  [../]
[]

[Materials]
  [./bot_elas_tens]
    type = ComputeIsotropicElasticityTensor
    block = '1'
    youngs_modulus = 1e6
    poissons_ratio = 0.3
  [../]
  [./bot_strain]
    type = ComputeFiniteStrain
    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 = ComputeFiniteStrain
    block = '2'
  [../]
  [./top_stress]
    type = ComputeFiniteStrainElasticStress
    block = '2'
  [../]
[]

[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-9
  nl_rel_tol = 1e-8
  l_max_its = 50
  nl_max_its = 100
  dt = 1.0
  end_time = 1.0
  num_steps = 10
  dtmin = 1.0
  l_tol = 1e-5

[]

[VectorPostprocessors]
  [./x_disp]
    type = NodalValueSampler
    variable = disp_x
    boundary = '1 3 4 5'
    sort_by = id
  [../]
  [./y_disp]
    type = NodalValueSampler
    variable = disp_y
    boundary = '1 3 4 5'
    sort_by = id
  [../]
  [./cont_press]
    type = NodalValueSampler
    variable = contact_pressure
    boundary = '3'
    sort_by = id
  [../]
[]

[Outputs]
  file_base = brick2_mu_0_2_pen_out
  print_linear_residuals = true
  perf_graph = true
  [./exodus]
    type = Exodus
    elemental_as_nodal = true
  [../]
  [./console]
    type = Console
    max_rows = 5
  [../]
  [./chkfile]
    type = CSV
    file_base = brick2_mu_0_2_pen_check
    show = 'bot_react_x bot_react_y disp_x7 disp_y7 disp_x26 disp_y26 stress_yy stress_zz top_react_x top_react_y x_disp y_disp cont_press'
    execute_vector_postprocessors_on = timestep_end
  [../]
  [./outfile]
    type = CSV
    delimiter = ' '
    execute_vector_postprocessors_on = none
  [../]
[]

[Contact]
  [./leftright]
    secondary = 3
    primary = 4
    model = coulomb
    formulation = penalty
    normalize_penalty = true
    friction_coefficient = 0.2
    penalty = 1e+7
  [../]
[]

(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
[]

(modules/contact/test/tests/verification/patch_tests/cyl_1/cyl1_mu_0_2_pen.i)

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

[Mesh]
  file = cyl1_mesh.e
[]

[Problem]
  type = FEProblem
  coord_type = RZ
[]

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

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

[Kernels]
  [./TensorMechanics]
    use_displaced_mesh = true
    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
  [../]
  [./stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zz
    index_i = 2
    index_j = 2
    execute_on = timestep_end
  [../]
  [./inc_slip_x]
    type = PenetrationAux
    variable = inc_slip_x
    execute_on = timestep_end
    boundary = 3
    paired_boundary = 4
  [../]
  [./inc_slip_y]
    type = PenetrationAux
    variable = inc_slip_y
    execute_on = timestep_end
    boundary = 3
    paired_boundary = 4
  [../]
  [./accum_slip_x]
    type = PenetrationAux
    variable = accum_slip_x
    execute_on = timestep_end
    boundary = 3
    paired_boundary = 4
  [../]
  [./accum_slip_y]
    type = PenetrationAux
    variable = accum_slip_y
    execute_on = timestep_end
    boundary = 3
    paired_boundary = 4
  [../]
  [./penetration]
    type = PenetrationAux
    variable = penetration
    boundary = 3
    paired_boundary = 4
  [../]
  [./tang_force_x]
    type = PenetrationAux
    variable = tang_force_x
    quantity = tangential_force_x
    boundary = 3
    paired_boundary = 4
  [../]
  [./tang_force_y]
    type = PenetrationAux
    variable = tang_force_y
    quantity = tangential_force_y
    boundary = 3
    paired_boundary = 4
  [../]
[] # AuxKernels

[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
  [../]
  [./sigma_yy]
    type = ElementAverageValue
    variable = stress_yy
  [../]
  [./sigma_zz]
    type = ElementAverageValue
    variable = stress_zz
  [../]
  [./disp_x2]
    type = NodalVariableValue
    nodeid = 1
    variable = disp_x
  [../]
  [./disp_x7]
    type = NodalVariableValue
    nodeid = 6
    variable = disp_x
  [../]
  [./disp_y2]
    type = NodalVariableValue
    nodeid = 1
    variable = disp_y
  [../]
  [./disp_y7]
    type = NodalVariableValue
    nodeid = 6
    variable = disp_y
  [../]
  [./_dt]
    type = TimestepSize
  [../]
  [./num_lin_it]
    type = NumLinearIterations
  [../]
  [./num_nonlin_it]
    type = NumNonlinearIterations
  [../]
[]

[BCs]
  [./bot_y]
    type = DirichletBC
    variable = disp_y
    boundary = 1
    value = 0.0
  [../]
  [./side_x]
    type = DirichletBC
    variable = disp_x
    boundary = 2
    value = 0.0
  [../]
  [./top_press]
    type = Pressure
    variable = disp_y
    boundary = 5
    factor = 109.89
  [../]
[]

[Materials]
  [./bot_elas_tens]
    type = ComputeIsotropicElasticityTensor
    block = '1'
    youngs_modulus = 1e6
    poissons_ratio = 0.3
  [../]
  [./bot_strain]
    type = ComputeAxisymmetricRZIncrementalStrain
    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 = ComputeAxisymmetricRZIncrementalStrain
    block = '2'
  [../]
  [./top_stress]
    type = ComputeFiniteStrainElasticStress
    block = '2'
  [../]
[]

[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
  dt = 1.0
  end_time = 1.0
  num_steps = 10
  dtmin = 1.0
  l_tol = 1e-4
[]

[VectorPostprocessors]
  [./x_disp]
    type = NodalValueSampler
    variable = disp_x
    boundary = '1 3 4 5'
    sort_by = x
  [../]
  [./cont_press]
    type = NodalValueSampler
    variable = contact_pressure
    boundary = '3'
    sort_by = x
  [../]
[]

[Outputs]
  file_base = cyl1_mu_0_2_pen_out
  print_linear_residuals = true
  perf_graph = true
  [./exodus]
    type = Exodus
    elemental_as_nodal = true
  [../]
  [./console]
    type = Console
    max_rows = 5
  [../]
  [./chkfile]
    type = CSV
    file_base = cyl1_mu_0_2_pen_check
    show = 'bot_react_x bot_react_y disp_x2 disp_y2 disp_x7 disp_y7 sigma_yy sigma_zz top_react_x top_react_y x_disp cont_press'
    execute_vector_postprocessors_on = timestep_end
  [../]
  [./outfile]
    type = CSV
    delimiter = ' '
    execute_vector_postprocessors_on = none
  [../]
[]

[Contact]
  [./leftright]
    secondary = 3
    primary = 4
    model = coulomb
    formulation = penalty
    normalize_penalty = true
    tangential_tolerance = 1e-3
    friction_coefficient = 0.2
    penalty = 1e+9
  [../]
[]

(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/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/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/geochemistry/test/tests/kernels/time_deriv_2.i)

# A point-source is added to fluid in a material with spatially-varying porosity
# porosity * d(concentration)/dt = 3.0 * delta(x - 1.0)
# where delta is the Dirac delta function (a ConstantPointSource DiracKernel)
# The solution, at x = 1.0 is
# concentration = concentration_old + 3 * dt / porosity
# while concentration is unchanged elsewhere.
# Note that since GeochemistryTimeDerivative is mass-lumped, it produces this solution.
# If mass lumping had not been used, concentration would have decreased at x != 1.0
[Mesh]
  type = GeneratedMesh
  dim = 1
  nx = 2
  xmax = 2
[]

[Variables]
  [conc]
  []
[]

[Kernels]
  [dot]
    type = GeochemistryTimeDerivative
    porosity = porosity
    variable = conc
  []
[]

[DiracKernels]
  [source]
    type = ConstantPointSource
    point = '1.0 0 0'
    variable = conc
    value = 12.0
  []
[]

[ICs]
  [conc]
    type = FunctionIC
    function = 'x * x'
    variable = conc
  []
[]

[AuxVariables]
  [porosity]
  []
  [expected]
  []
  [should_be_zero]
  []
[]

[AuxKernels]
  [porosity]
    type = FunctionAux
    function = '6.0 + x'
    variable = porosity
  []
  [expected]
    type = FunctionAux
   function = 'if(x > 0.5 & x < 1.5, x * x + 2.0 * 12.0 / (6.0 + x), x * x)'
    variable = expected
  []
  [should_be_zero]
    type = ParsedAux
    coupled_variables = 'expected conc'
    expression = 'expected - conc'
    variable = should_be_zero
  []
[]

[Postprocessors]
  [error]
    type = NodalL2Norm
    variable = should_be_zero
  []
[]

[Executioner]
  type = Transient
  solve_type = Newton
  dt = 2
  end_time = 2
[]

[Outputs]
  csv = true
[]

(modules/contact/test/tests/verification/patch_tests/ring_1/ring1_mu_0_2_pen.i)

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

[Mesh]
  file = ring1_mesh.e
[]

[Problem]
  type = FEProblem
  coord_type = RZ
[]

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

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

[Kernels]
  [./TensorMechanics]
    use_displaced_mesh = true
    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
  [../]
  [./stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zz
    index_i = 2
    index_j = 2
    execute_on = timestep_end
  [../]
  [./inc_slip_x]
    type = PenetrationAux
    variable = inc_slip_x
    execute_on = timestep_end
    boundary = 3
    paired_boundary = 4
  [../]
  [./inc_slip_y]
    type = PenetrationAux
    variable = inc_slip_y
    execute_on = timestep_end
    boundary = 3
    paired_boundary = 4
  [../]
  [./accum_slip_x]
    type = PenetrationAux
    variable = accum_slip_x
    execute_on = timestep_end
    boundary = 3
    paired_boundary = 4
  [../]
  [./accum_slip_y]
    type = PenetrationAux
    variable = accum_slip_y
    execute_on = timestep_end
    boundary = 3
    paired_boundary = 4
  [../]
  [./penetration]
    type = PenetrationAux
    variable = penetration
    boundary = 3
    paired_boundary = 4
  [../]
  [./tang_force_x]
    type = PenetrationAux
    variable = tang_force_x
    quantity = tangential_force_x
    boundary = 3
    paired_boundary = 4
  [../]
  [./tang_force_y]
    type = PenetrationAux
    variable = tang_force_y
    quantity = tangential_force_y
    boundary = 3
    paired_boundary = 4
  [../]
[] # AuxKernels

[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
  [../]
  [./sigma_yy]
    type = ElementAverageValue
    variable = stress_yy
  [../]
  [./sigma_zz]
    type = ElementAverageValue
    variable = stress_zz
  [../]
  [./disp_x2]
    type = NodalVariableValue
    nodeid = 1
    variable = disp_x
  [../]
  [./disp_x7]
    type = NodalVariableValue
    nodeid = 6
    variable = disp_x
  [../]
  [./disp_y2]
    type = NodalVariableValue
    nodeid = 1
    variable = disp_y
  [../]
  [./disp_y7]
    type = NodalVariableValue
    nodeid = 6
    variable = disp_y
  [../]
  [./_dt]
    type = TimestepSize
  [../]
  [./num_lin_it]
    type = NumLinearIterations
  [../]
  [./num_nonlin_it]
    type = NumNonlinearIterations
  [../]
[]

[BCs]
  [./bot_y]
    type = DirichletBC
    variable = disp_y
    boundary = 1
    value = 0.0
  [../]
  [./top_press]
    type = Pressure
    variable = disp_y
    boundary = 5
    factor = 109.89
  [../]
[]

[Materials]
  [./bot_elas_tens]
    type = ComputeIsotropicElasticityTensor
    block = '1'
    youngs_modulus = 1e6
    poissons_ratio = 0.3
  [../]
  [./bot_strain]
    type = ComputeAxisymmetricRZIncrementalStrain
    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 = ComputeAxisymmetricRZIncrementalStrain
    block = '2'
  [../]
  [./top_stress]
    type = ComputeFiniteStrainElasticStress
    block = '2'
  [../]
[]

[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-10
  nl_rel_tol = 1e-9
  l_max_its = 50
  nl_max_its = 100
  dt = 1.0
  end_time = 1.0
  num_steps = 10
  dtmin = 1.0
  l_tol = 1e-5
[]

[VectorPostprocessors]
  [./x_disp]
    type = NodalValueSampler
    variable = disp_x
    boundary = '1 3 4 5'
    sort_by = x
  [../]
  [./cont_press]
    type = NodalValueSampler
    variable = contact_pressure
    boundary = '3'
    sort_by = x
  [../]
[]

[Outputs]
  file_base = ring1_mu_0_2_pen_out
  print_linear_residuals = true
  perf_graph = true
  [./exodus]
    type = Exodus
    elemental_as_nodal = true
  [../]
  [./console]
    type = Console
    max_rows = 5
  [../]
  [./chkfile]
    type = CSV
    file_base = ring1_mu_0_2_pen_check
    show = 'bot_react_x bot_react_y disp_x2 disp_y2 disp_x7 disp_y7 sigma_yy sigma_zz top_react_x top_react_y x_disp cont_press'
    execute_vector_postprocessors_on = timestep_end
  [../]
  [./outfile]
    type = CSV
    delimiter = ' '
    execute_vector_postprocessors_on = none
  [../]
[]

[Contact]
  [./leftright]
    secondary = 3
    primary = 4
    model = coulomb
    formulation = penalty
    normalize_penalty = true
    tangential_tolerance = 1e-3
    friction_coefficient = 0.2
    penalty = 1e+9
  [../]
[]

(modules/geochemistry/test/tests/kernels/time_deriv_1.i)

# An initial concentration field in a material with constant porosity is subjected to a constant source
# porosity * d(concentration)/dt = source
# The result is checked vs the expected solution, which is conc = conc_old + dt * source / porosity
[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 2
  ny = 4
  nz = 2
[]

[Variables]
  [conc]
  []
[]

[Kernels]
  [dot]
    type = GeochemistryTimeDerivative
    porosity = porosity
    variable = conc
  []
  [source]
    type = BodyForce
    function = 3.0
    variable = conc
  []
[]

[ICs]
  [conc]
    type = FunctionIC
    function = 'z * z + 4 * x * x * x + y'
    variable = conc
  []
[]

[AuxVariables]
  [porosity]
  []
  [expected]
  []
  [should_be_zero]
  []
[]

[AuxKernels]
  [porosity]
    type = FunctionAux
    function = '6.0'
    variable = porosity
  []
  [expected]
    type = FunctionAux
    function = 'z * z + 4 * x * x * x + y + 2.0 * 3.0 / 6.0'
    variable = expected
  []
  [should_be_zero]
    type = ParsedAux
    coupled_variables = 'expected conc'
    expression = 'expected - conc'
    variable = should_be_zero
  []
[]

[Postprocessors]
  [error]
    type = NodalL2Norm
    variable = should_be_zero
  []
[]

[Executioner]
  type = Transient
  solve_type = Newton
  dt = 2
  end_time = 2
[]

[Outputs]
  csv = true
[]

(modules/contact/test/tests/verification/patch_tests/ring_1/ring1_template1.i)

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

[Mesh]
  file = ring1_mesh.e
[]

[Problem]
  type = FEProblem
  coord_type = RZ
[]

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

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

[Kernels]
  [./TensorMechanics]
    use_displaced_mesh = true
    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
  [../]
  [./stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zz
    index_i = 2
    index_j = 2
    execute_on = timestep_end
  [../]
  [./inc_slip_x]
    type = PenetrationAux
    variable = inc_slip_x
    execute_on = timestep_end
    boundary = 3
    paired_boundary = 4
  [../]
  [./inc_slip_y]
    type = PenetrationAux
    variable = inc_slip_y
    execute_on = timestep_end
    boundary = 3
    paired_boundary = 4
  [../]
  [./accum_slip_x]
    type = PenetrationAux
    variable = accum_slip_x
    execute_on = timestep_end
    boundary = 3
    paired_boundary = 4
  [../]
  [./accum_slip_y]
    type = PenetrationAux
    variable = accum_slip_y
    execute_on = timestep_end
    boundary = 3
    paired_boundary = 4
  [../]
  [./penetration]
    type = PenetrationAux
    variable = penetration
    boundary = 3
    paired_boundary = 4
  [../]
  [./tang_force_x]
    type = PenetrationAux
    variable = tang_force_x
    quantity = tangential_force_x
    boundary = 3
    paired_boundary = 4
  [../]
  [./tang_force_y]
    type = PenetrationAux
    variable = tang_force_y
    quantity = tangential_force_y
    boundary = 3
    paired_boundary = 4
  [../]
[] # AuxKernels

[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
  [../]
  [./sigma_yy]
    type = ElementAverageValue
    variable = stress_yy
  [../]
  [./sigma_zz]
    type = ElementAverageValue
    variable = stress_zz
  [../]
  [./disp_x2]
    type = NodalVariableValue
    nodeid = 1
    variable = disp_x
  [../]
  [./disp_x7]
    type = NodalVariableValue
    nodeid = 6
    variable = disp_x
  [../]
  [./disp_y2]
    type = NodalVariableValue
    nodeid = 1
    variable = disp_y
  [../]
  [./disp_y7]
    type = NodalVariableValue
    nodeid = 6
    variable = disp_y
  [../]
  [./_dt]
    type = TimestepSize
  [../]
  [./num_lin_it]
    type = NumLinearIterations
  [../]
  [./num_nonlin_it]
    type = NumNonlinearIterations
  [../]
[]

[BCs]
  [./bot_y]
    type = DirichletBC
    variable = disp_y
    boundary = 1
    value = 0.0
  [../]
  [./top_press]
    type = Pressure
    variable = disp_y
    boundary = 5
    factor = 109.89
  [../]
[]

[Materials]
  [./bot_elas_tens]
    type = ComputeIsotropicElasticityTensor
    block = '1'
    youngs_modulus = 1e6
    poissons_ratio = 0.3
  [../]
  [./bot_strain]
    type = ComputeAxisymmetricRZIncrementalStrain
    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 = ComputeAxisymmetricRZIncrementalStrain
    block = '2'
  [../]
  [./top_stress]
    type = ComputeFiniteStrainElasticStress
    block = '2'
  [../]
[]

[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-10
  nl_rel_tol = 1e-9
  l_max_its = 100
  nl_max_its = 200
  dt = 1.0
  end_time = 1.0
  num_steps = 10
  dtmin = 1.0
  l_tol = 1e-5
[]

[VectorPostprocessors]
  [./x_disp]
    type = NodalValueSampler
    variable = disp_x
    boundary = '1 3 4 5'
    sort_by = x
  [../]
  [./cont_press]
    type = NodalValueSampler
    variable = contact_pressure
    boundary = '3'
    sort_by = x
  [../]
[]

[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_x2 disp_y2 disp_x7 disp_y7 sigma_yy sigma_zz top_react_x top_react_y x_disp cont_press'
    execute_vector_postprocessors_on = timestep_end
  [../]
  [./outfile]
    type = CSV
    delimiter = ' '
    execute_vector_postprocessors_on = none
  [../]
[]

[Contact]
  [./leftright]
    secondary = 3
    primary = 4
    normalize_penalty = true
    tangential_tolerance = 1e-3
    penalty = 1e+9
  [../]
[]

(modules/contact/test/tests/verification/patch_tests/brick_3/brick3_mu_0_2_pen.i)

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

[Mesh]
  file = brick3_mesh.e
[]

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

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

[AuxVariables]
  [./stress_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./penetration]
  [../]
  [./saved_x]
  [../]
  [./saved_y]
  [../]
  [./saved_z]
  [../]
  [./diag_saved_x]
  [../]
  [./diag_saved_y]
  [../]
  [./diag_saved_z]
  [../]
  [./inc_slip_x]
  [../]
  [./inc_slip_y]
  [../]
  [./inc_slip_z]
  [../]
  [./accum_slip_x]
  [../]
  [./accum_slip_y]
  [../]
  [./accum_slip_z]
  [../]
  [./tang_force_x]
  [../]
  [./tang_force_y]
  [../]
  [./tang_force_z]
  [../]
[]

[Kernels]
  [./TensorMechanics]
    use_displaced_mesh = true
    save_in = 'saved_x saved_y saved_z'
    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
  [../]
  [./stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zz
    index_i = 2
    index_j = 2
    execute_on = timestep_end
  [../]
  [./inc_slip_x]
    type = PenetrationAux
    variable = inc_slip_x
    execute_on = timestep_end
    boundary = 3
    paired_boundary = 4
  [../]
  [./inc_slip_y]
    type = PenetrationAux
    variable = inc_slip_y
    execute_on = timestep_end
    boundary = 3
    paired_boundary = 4
  [../]
  [./accum_slip_x]
    type = PenetrationAux
    variable = accum_slip_x
    execute_on = timestep_end
    boundary = 3
    paired_boundary = 4
  [../]
  [./accum_slip_y]
    type = PenetrationAux
    variable = accum_slip_y
    execute_on = timestep_end
    boundary = 3
    paired_boundary = 4
  [../]
  [./penetration]
    type = PenetrationAux
    variable = penetration
    boundary = 3
    paired_boundary = 4
  [../]
  [./tang_force_x]
    type = PenetrationAux
    variable = tang_force_x
    quantity = tangential_force_x
    boundary = 3
    paired_boundary = 4
  [../]
  [./tang_force_y]
    type = PenetrationAux
    variable = tang_force_y
    quantity = tangential_force_y
    boundary = 3
    paired_boundary = 4
  [../]
[]

[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
  [../]
  [./sigma_yy]
    type = ElementAverageValue
    variable = stress_yy
  [../]
  [./sigma_zz]
    type = ElementAverageValue
    variable = stress_zz
  [../]
  [./disp_x28]
    type = NodalVariableValue
    nodeid = 27
    variable = disp_x
  [../]
  [./disp_x33]
    type = NodalVariableValue
    nodeid = 32
    variable = disp_x
  [../]
  [./disp_y28]
    type = NodalVariableValue
    nodeid = 27
    variable = disp_y
  [../]
  [./disp_y33]
    type = NodalVariableValue
    nodeid = 32
    variable = disp_y
  [../]
  [./_dt]
    type = TimestepSize
  [../]
  [./num_lin_it]
    type = NumLinearIterations
  [../]
  [./num_nonlin_it]
    type = NumNonlinearIterations
  [../]
[]

[BCs]
  [./bot_y]
    type = DirichletBC
    variable = disp_y
    boundary = 1
    value = 0.0
  [../]
  [./side_x]
    type = DirichletBC
    variable = disp_x
    boundary = 2
    value = 0.0
  [../]
  [./back_z]
    type = DirichletBC
    variable = disp_z
    boundary = 6
    value = 0.0
  [../]
  [./top_press]
    type = Pressure
    variable = disp_y
    boundary = 5
    factor = 109.89
  [../]
[]

[Materials]
  [./bot_elas_tens]
    type = ComputeIsotropicElasticityTensor
    block = '1'
    youngs_modulus = 1e6
    poissons_ratio = 0.3
  [../]
  [./bot_strain]
    type = ComputeFiniteStrain
    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 = ComputeFiniteStrain
    block = '2'
  [../]
  [./top_stress]
    type = ComputeFiniteStrainElasticStress
    block = '2'
  [../]
[]

[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-9
  nl_rel_tol = 1e-8
  l_max_its = 50
  nl_max_its = 100
  dt = 1.0
  end_time = 1.0
  num_steps = 10
  dtmin = 1.0
  l_tol = 1e-5
[]

[VectorPostprocessors]
  [./x_disp]
    type = NodalValueSampler
    variable = disp_x
    boundary = '1 3 4 5'
    sort_by = id
  [../]
  [./y_disp]
    type = NodalValueSampler
    variable = disp_y
    boundary = '1 3 4 5'
    sort_by = id
  [../]
  [./cont_press]
    type = NodalValueSampler
    variable = contact_pressure
    boundary = '3'
    sort_by = id
  [../]
[]

[Outputs]
  file_base = brick3_mu_0_2_pen_out
  print_linear_residuals = true
  perf_graph = true
  [./exodus]
    type = Exodus
    elemental_as_nodal = true
  [../]
  [./console]
    type = Console
    max_rows = 5
  [../]
  [./chkfile]
    type = CSV
    file_base = brick3_mu_0_2_pen_check
    show = 'bot_react_x bot_react_y disp_x28 disp_y28 disp_x33 disp_y33 stress_yy stress_zz top_react_x top_react_y x_disp y_disp cont_press'
    execute_vector_postprocessors_on = timestep_end
  [../]
  [./outfile]
    type = CSV
    delimiter = ' '
    execute_vector_postprocessors_on = none
  [../]
[]

[Contact]
  [./leftright]
    secondary = 3
    primary = 4
    model = coulomb
    formulation = penalty
    normalize_penalty = true
    friction_coefficient = 0.2
    penalty = 1e+6
  [../]
[]

(modules/contact/test/tests/verification/patch_tests/plane_1/plane1_template1.i)

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

[Mesh]
  file = plane1_mesh.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
  [../]
  [./stress_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./penetration]
  [../]
  [./saved_x]
  [../]
  [./saved_y]
  [../]
  [./diag_saved_x]
  [../]
  [./diag_saved_y]
  [../]
  [./inc_slip_x]
  [../]
  [./inc_slip_y]
  [../]
  [./accum_slip_x]
  [../]
  [./accum_slip_y]
  [../]
[]

[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
  [../]
  [./stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zz
    index_i = 2
    index_j = 2
    execute_on = timestep_end
  [../]
  [./zeroslip_x]
    type = ConstantAux
    variable = inc_slip_x
    boundary = 4
    execute_on = timestep_begin
    value = 0.0
  [../]
  [./zeroslip_y]
    type = ConstantAux
    variable = inc_slip_y
    boundary = 4
    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 = 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
  [../]
  [./sigma_yy]
    type = ElementAverageValue
    variable = stress_yy
  [../]
  [./sigma_zz]
    type = ElementAverageValue
    variable = stress_zz
  [../]
  [./disp_x2]
    type = NodalVariableValue
    nodeid = 1
    variable = disp_x
  [../]
  [./disp_x7]
    type = NodalVariableValue
    nodeid = 6
    variable = disp_x
  [../]
  [./disp_y2]
    type = NodalVariableValue
    nodeid = 1
    variable = disp_y
  [../]
  [./disp_y7]
    type = NodalVariableValue
    nodeid = 6
    variable = disp_y
  [../]
  [./_dt]
    type = TimestepSize
  [../]
  [./num_lin_it]
    type = NumLinearIterations
  [../]
  [./num_nonlin_it]
    type = NumNonlinearIterations
  [../]
[]

[BCs]
  [./bot_y]
    type = DirichletBC
    variable = disp_y
    boundary = 1
    value = 0.0
  [../]
  [./side_x]
    type = DirichletBC
    variable = disp_x
    boundary = 2
    value = 0.0
  [../]
  [./top_press]
    type = Pressure
    variable = disp_y
    boundary = 5
    factor = 109.89
  [../]
[]

[Materials]
  [./bot_elas_tens]
    type = ComputeIsotropicElasticityTensor
    block = '1'
    youngs_modulus = 1e6
    poissons_ratio = 0.3
  [../]
  [./bot_strain]
    type = ComputeIncrementalStrain
    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 = ComputeIncrementalStrain
    block = '2'
  [../]
  [./top_stress]
    type = ComputeFiniteStrainElasticStress
    block = '2'
  [../]
[]

[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-10
  nl_rel_tol = 1e-9
  l_max_its = 50
  nl_max_its = 100
  dt = 1.0
  end_time = 1.0
  num_steps = 10
  dtmin = 1.0
  l_tol = 1e-3
[]

[VectorPostprocessors]
  [./x_disp]
    type = NodalValueSampler
    variable = disp_x
    boundary = '1 3 4 5'
    sort_by = x
  [../]
  [./cont_press]
    type = NodalValueSampler
    variable = contact_pressure
    boundary = '3'
    sort_by = x
  [../]
[]

[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_x2 disp_y2 disp_x7 disp_y7 sigma_yy sigma_zz top_react_x top_react_y x_disp cont_press'
    execute_vector_postprocessors_on = timestep_end
  [../]
  [./outfile]
    type = CSV
    delimiter = ' '
    execute_vector_postprocessors_on = none
  [../]
[]

[Contact]
  [./leftright]
    secondary = 3
    primary = 4
    normalize_penalty = true
    tangential_tolerance = 1e-3
    penalty = 1e+9
  [../]
[]

(modules/contact/test/tests/verification/patch_tests/plane_4/plane4_template1.i)

[GlobalParams]
  order = SECOND
  displacements = 'disp_x disp_y'
[]

[Mesh]
  file = plane4_mesh.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
  [../]
  [./stress_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./penetration]
  [../]
  [./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]
  [../]
[]

[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
  [../]
  [./stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zz
    index_i = 2
    index_j = 2
    execute_on = timestep_end
  [../]
  [./zeroslip_x]
    type = ConstantAux
    variable = inc_slip_x
    boundary = 4
    execute_on = timestep_begin
    value = 0.0
  [../]
  [./zeroslip_y]
    type = ConstantAux
    variable = inc_slip_y
    boundary = 4
    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 = 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
  [../]
  [./sigma_yy]
    type = ElementAverageValue
    variable = stress_yy
  [../]
  [./sigma_zz]
    type = ElementAverageValue
    variable = stress_zz
  [../]
  [./disp_x9]
    type = NodalVariableValue
    nodeid = 8
    variable = disp_x
  [../]
  [./disp_x16]
    type = NodalVariableValue
    nodeid = 15
    variable = disp_x
  [../]
  [./disp_y9]
    type = NodalVariableValue
    nodeid = 8
    variable = disp_y
  [../]
  [./disp_y16]
    type = NodalVariableValue
    nodeid = 15
    variable = disp_y
  [../]
  [./_dt]
    type = TimestepSize
  [../]
  [./num_lin_it]
    type = NumLinearIterations
  [../]
  [./num_nonlin_it]
    type = NumNonlinearIterations
  [../]
[]

[BCs]
  [./bot_y]
    type = DirichletBC
    variable = disp_y
    boundary = 1
    value = 0.0
  [../]
  [./side_x]
    type = DirichletBC
    variable = disp_x
    boundary = 2
    value = 0.0
  [../]
  [./top_press]
    type = Pressure
    variable = disp_y
    boundary = 5
    factor = 109.89
  [../]
[]

[Materials]
  [./bot_elas_tens]
    type = ComputeIsotropicElasticityTensor
    block = '1'
    youngs_modulus = 1e6
    poissons_ratio = 0.3
  [../]
  [./bot_strain]
    type = ComputeIncrementalStrain
    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 = ComputeIncrementalStrain
    block = '2'
  [../]
  [./top_stress]
    type = ComputeFiniteStrainElasticStress
    block = '2'
  [../]
[]

[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-10
  nl_rel_tol = 1e-7
  l_max_its = 100
  nl_max_its = 200
  dt = 1.0
  end_time = 1.0
  num_steps = 10
  dtmin = 1.0
  l_tol = 1e-3
[]

[VectorPostprocessors]
  [./x_disp]
    type = NodalValueSampler
    variable = disp_x
    boundary = '1 3 4 5'
    sort_by = x
  [../]
  [./cont_press]
    type = NodalValueSampler
    variable = contact_pressure
    boundary = '3'
    sort_by = x
  [../]
[]

[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_x9 disp_y9 disp_x16 disp_y16 sigma_yy sigma_zz top_react_x top_react_y x_disp cont_press'
    execute_vector_postprocessors_on = timestep_end
  [../]
  [./outfile]
    type = CSV
    delimiter = ' '
    execute_vector_postprocessors_on = none
  [../]
[]

[Contact]
  [./leftright]
    secondary = 3
    primary = 4
    normalize_penalty = true
    tangential_tolerance = 1e-3
    penalty = 1e+9
  [../]
[]

(modules/contact/test/tests/verification/patch_tests/plane_4/plane4_template2.i)

[GlobalParams]
  order = SECOND
  displacements = 'disp_x disp_y'
[]

[Mesh]
  file = plane4_mesh.e
[]

[Problem]
  type = AugmentedLagrangianContactProblem
  extra_tag_vectors = 'ref'
  reference_vector = 'ref'
  maximum_lagrangian_update_iterations = 200
[]

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

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

[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
  [../]
  [./stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zz
    index_i = 2
    index_j = 2
    execute_on = timestep_end
  [../]
  [./zeroslip_x]
    type = ConstantAux
    variable = inc_slip_x
    boundary = 4
    execute_on = timestep_begin
    value = 0.0
  [../]
  [./zeroslip_y]
    type = ConstantAux
    variable = inc_slip_y
    boundary = 4
    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 = 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
  [../]
  [./sigma_yy]
    type = ElementAverageValue
    variable = stress_yy
  [../]
  [./sigma_zz]
    type = ElementAverageValue
    variable = stress_zz
  [../]
  [./disp_x9]
    type = NodalVariableValue
    nodeid = 8
    variable = disp_x
  [../]
  [./disp_x16]
    type = NodalVariableValue
    nodeid = 15
    variable = disp_x
  [../]
  [./disp_y9]
    type = NodalVariableValue
    nodeid = 8
    variable = disp_y
  [../]
  [./disp_y16]
    type = NodalVariableValue
    nodeid = 15
    variable = disp_y
  [../]
  [./_dt]
    type = TimestepSize
  [../]
  [./num_lin_it]
    type = NumLinearIterations
  [../]
  [./num_nonlin_it]
    type = NumNonlinearIterations
  [../]
[]

[BCs]
  [./bot_y]
    type = DirichletBC
    variable = disp_y
    boundary = 1
    value = 0.0
  [../]
  [./side_x]
    type = DirichletBC
    variable = disp_x
    boundary = 2
    value = 0.0
  [../]
  [./top_press]
    type = Pressure
    variable = disp_y
    boundary = 5
    factor = 109.89
  [../]
[]

[Materials]
  [./bot_elas_tens]
    type = ComputeIsotropicElasticityTensor
    block = '1'
    youngs_modulus = 1e6
    poissons_ratio = 0.3
  [../]
  [./bot_strain]
    type = ComputeIncrementalStrain
    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 = ComputeIncrementalStrain
    block = '2'
  [../]
  [./top_stress]
    type = ComputeFiniteStrainElasticStress
    block = '2'
  [../]
[]

[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-9
  nl_rel_tol = 1e-7
  l_max_its = 100
  nl_max_its = 200
  dt = 1.0
  end_time = 1.0
  num_steps = 10
  dtmin = 1.0
  l_tol = 1e-3
[]

[VectorPostprocessors]
  [./x_disp]
    type = NodalValueSampler
    variable = disp_x
    boundary = '1 3 4 5'
    sort_by = x
  [../]
  [./cont_press]
    type = NodalValueSampler
    variable = contact_pressure
    boundary = '3'
    sort_by = x
  [../]
[]

[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_x9 disp_y9 disp_x16 disp_y16 sigma_yy sigma_zz top_react_x top_react_y x_disp cont_press'
    execute_vector_postprocessors_on = timestep_end
  [../]
  [./outfile]
    type = CSV
    delimiter = ' '
    execute_vector_postprocessors_on = none
  [../]
[]

[Contact]
  [./leftright]
    secondary = 3
    primary = 4
    normalize_penalty = true
    tangential_tolerance = 1e-3
    penalty = 1e+9
    al_penetration_tolerance = 1e-8
  [../]
[]

(modules/contact/test/tests/verification/patch_tests/cyl_3/cyl3_template2.i)

#
# This input file is a template for both the frictionless and glued test
# variations for the current problem geometry. In order to create an input
# file to run outside the runtest framework, look at the tests file and add the
# appropriate input file lines from the cli_args line.
#

[GlobalParams]
  order = SECOND
  displacements = 'disp_x disp_y'
[]

[Mesh]
  file = cyl3_mesh.e
[]

[Problem]
  type = AugmentedLagrangianContactProblem
  maximum_lagrangian_update_iterations = 200
  coord_type = RZ
[]

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

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

[Kernels]
  [./TensorMechanics]
    use_displaced_mesh = true
    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
  [../]
  [./stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zz
    index_i = 2
    index_j = 2
    execute_on = timestep_end
  [../]
  [./inc_slip_x]
    type = PenetrationAux
    variable = inc_slip_x
    execute_on = timestep_end
    boundary = 3
    paired_boundary = 4
  [../]
  [./inc_slip_y]
    type = PenetrationAux
    variable = inc_slip_y
    execute_on = timestep_end
    boundary = 3
    paired_boundary = 4
  [../]
  [./accum_slip_x]
    type = PenetrationAux
    variable = accum_slip_x
    execute_on = timestep_end
    boundary = 3
    paired_boundary = 4
  [../]
  [./accum_slip_y]
    type = PenetrationAux
    variable = accum_slip_y
    execute_on = timestep_end
    boundary = 3
    paired_boundary = 4
  [../]
  [./penetration]
    type = PenetrationAux
    variable = penetration
    boundary = 3
    paired_boundary = 4
  [../]
  [./tang_force_x]
    type = PenetrationAux
    variable = tang_force_x
    quantity = tangential_force_x
    boundary = 3
    paired_boundary = 4
  [../]
  [./tang_force_y]
    type = PenetrationAux
    variable = tang_force_y
    quantity = tangential_force_y
    boundary = 3
    paired_boundary = 4
  [../]
[] # AuxKernels

[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
  [../]
  [./sigma_yy]
    type = ElementAverageValue
    variable = stress_yy
  [../]
  [./sigma_zz]
    type = ElementAverageValue
    variable = stress_zz
  [../]
  [./disp_x2]
    type = NodalVariableValue
    nodeid = 1
    variable = disp_x
  [../]
  [./disp_x11]
    type = NodalVariableValue
    nodeid = 10
    variable = disp_x
  [../]
  [./disp_y2]
    type = NodalVariableValue
    nodeid = 1
    variable = disp_y
  [../]
  [./disp_y11]
    type = NodalVariableValue
    nodeid = 10
    variable = disp_y
  [../]
  [./_dt]
    type = TimestepSize
  [../]
  [./num_lin_it]
    type = NumLinearIterations
  [../]
  [./num_nonlin_it]
    type = NumNonlinearIterations
  [../]
[]

[BCs]
  [./bot_y]
    type = DirichletBC
    variable = disp_y
    boundary = 1
    value = 0.0
  [../]
  [./side_x]
    type = DirichletBC
    variable = disp_x
    boundary = 2
    value = 0.0
  [../]
  [./top_press]
    type = Pressure
    variable = disp_y
    boundary = 5
    factor = 109.89
  [../]
[]

[Materials]
  [./bot_elas_tens]
    type = ComputeIsotropicElasticityTensor
    block = '1'
    youngs_modulus = 1e6
    poissons_ratio = 0.3
  [../]
  [./bot_strain]
    type = ComputeAxisymmetricRZIncrementalStrain
    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 = ComputeAxisymmetricRZIncrementalStrain
    block = '2'
  [../]
  [./top_stress]
    type = ComputeFiniteStrainElasticStress
    block = '2'
  [../]
[]

[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 = 1000
  dt = 1.0
  end_time = 1.0
  num_steps = 10
  dtmin = 1.0
  l_tol = 1e-4
[]

[VectorPostprocessors]
  [./x_disp]
    type = NodalValueSampler
    variable = disp_x
    boundary = '1 3 4 5'
    sort_by = x
  [../]
  [./cont_press]
    type = NodalValueSampler
    variable = contact_pressure
    boundary = '3'
    sort_by = x
  [../]
[]

[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_x2 disp_y2 disp_x11 disp_y11 sigma_yy sigma_zz top_react_x top_react_y x_disp cont_press'
    execute_vector_postprocessors_on = timestep_end
  [../]
  [./outfile]
    type = CSV
    delimiter = ' '
    execute_vector_postprocessors_on = none
  [../]
[]

[Contact]
  [./leftright]
    secondary = 3
    primary = 4
    tangential_tolerance = 1e-3
    penalty = 1e+11
    al_penetration_tolerance = 1e-8
  [../]
[]

(test/tests/misc/save_in/save_in_soln_var_err_test.i)

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

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

[AuxVariables]
  [./saved]
  [../]
  [./bc_saved]
  [../]
  [./accumulated]
  [../]
  [./diag_saved]
  [../]
  [./bc_diag_saved]
  [../]
  [./saved_dirichlet]
  [../]
  [./diag_saved_dirichlet]
  [../]
[]

[Kernels]
  [./diff]
    type = Diffusion
    variable = u
    save_in = 'u saved accumulated saved_dirichlet'
    diag_save_in = 'diag_saved diag_saved_dirichlet'
  [../]
[]

[BCs]
  [./left]
    type = DirichletBC
    variable = u
    boundary = left
    value = 0
    save_in = saved_dirichlet
    diag_save_in = diag_saved_dirichlet
  [../]
  [./nbc]
    type = NeumannBC
    variable = u
    boundary = right
    value = 1
    save_in = 'bc_saved accumulated'
    diag_save_in = bc_diag_saved
  [../]
[]

[Postprocessors]
  [./left_flux]
    type = NodalSum
    variable = saved
    boundary = 1
  [../]
  [./saved_norm]
    type = NodalL2Norm
    variable = saved
    execute_on = timestep_end
    block = 0
  [../]
  [./saved_dirichlet_norm]
    type = NodalL2Norm
    variable = saved_dirichlet
    execute_on = timestep_end
    block = 0
  [../]
[]

[Executioner]
  type = Steady

  solve_type = 'PJFNK'

  petsc_options_iname = '-pc_type -pc_hypre_type'
  petsc_options_value = 'hypre boomeramg'
[]

[Outputs]
  file_base = out
  exodus = true
[]

(modules/contact/test/tests/verification/patch_tests/brick_3/brick3_template2.i)

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

[Mesh]
  file = brick3_mesh.e
[]

[Problem]
  type = AugmentedLagrangianContactProblem
  maximum_lagrangian_update_iterations = 200
  extra_tag_vectors = 'ref'
  reference_vector = 'ref'
[]

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

[AuxVariables]
  [./stress_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./penetration]
  [../]
  [./saved_x]
  [../]
  [./saved_y]
  [../]
  [./saved_z]
  [../]
  [./diag_saved_x]
  [../]
  [./diag_saved_y]
  [../]
  [./diag_saved_z]
  [../]
  [./inc_slip_x]
  [../]
  [./inc_slip_y]
  [../]
  [./inc_slip_z]
  [../]
  [./accum_slip_x]
  [../]
  [./accum_slip_y]
  [../]
  [./accum_slip_z]
  [../]
[]

[Kernels]
  [./TensorMechanics]
    use_displaced_mesh = true
    save_in = 'saved_x saved_y saved_z'
    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
  [../]
  [./stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zz
    index_i = 2
    index_j = 2
    execute_on = timestep_end
  [../]
  [./inc_slip_x]
    type = PenetrationAux
    variable = inc_slip_x
    execute_on = timestep_begin
    boundary = 4
    paired_boundary = 3
  [../]
  [./inc_slip_y]
    type = PenetrationAux
    variable = inc_slip_y
    execute_on = timestep_begin
    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
  [../]
[]

[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
  [../]
  [./sigma_yy]
    type = ElementAverageValue
    variable = stress_yy
  [../]
  [./sigma_zz]
    type = ElementAverageValue
    variable = stress_zz
  [../]
  [./disp_x28]
    type = NodalVariableValue
    nodeid = 27
    variable = disp_x
  [../]
  [./disp_x33]
    type = NodalVariableValue
    nodeid = 32
    variable = disp_x
  [../]
  [./disp_y28]
    type = NodalVariableValue
    nodeid = 27
    variable = disp_y
  [../]
  [./disp_y33]
    type = NodalVariableValue
    nodeid = 32
    variable = disp_y
  [../]
  [./_dt]
    type = TimestepSize
  [../]
  [./num_lin_it]
    type = NumLinearIterations
  [../]
  [./num_nonlin_it]
    type = NumNonlinearIterations
  [../]
[]

[BCs]
  [./bot_y]
    type = DirichletBC
    variable = disp_y
    boundary = 1
    value = 0.0
  [../]
  [./side_x]
    type = DirichletBC
    variable = disp_x
    boundary = 2
    value = 0.0
  [../]
  [./back_z]
    type = DirichletBC
    variable = disp_z
    boundary = 6
    value = 0.0
  [../]
  [./top_press]
    type = Pressure
    variable = disp_y
    boundary = 5
    factor = 109.89
  [../]
[]

[Materials]
  [./bot_elas_tens]
    type = ComputeIsotropicElasticityTensor
    block = '1'
    youngs_modulus = 1e6
    poissons_ratio = 0.3
  [../]
  [./bot_strain]
    type = ComputeFiniteStrain
    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 = ComputeFiniteStrain
    block = '2'
  [../]
  [./top_stress]
    type = ComputeFiniteStrainElasticStress
    block = '2'
  [../]
[]

[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-7
  l_max_its = 50
  nl_max_its = 100
  dt = 1.0
  end_time = 1.0
  num_steps = 10
  dtmin = 1.0
  l_tol = 1e-5
[]

[VectorPostprocessors]
  [./x_disp]
    type = NodalValueSampler
    variable = disp_x
    boundary = '1 3 4 5'
    sort_by = id
  [../]
  [./y_disp]
    type = NodalValueSampler
    variable = disp_y
    boundary = '1 3 4 5'
    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 = 'bot_react_x bot_react_y disp_x28 disp_y28 disp_x33 disp_y33 stress_yy stress_zz top_react_x top_react_y x_disp y_disp cont_press'
    execute_vector_postprocessors_on = timestep_end
  [../]
  [./outfile]
    type = CSV
    delimiter = ' '
    execute_vector_postprocessors_on = none
  [../]
[]

[Contact]
  [./leftright]
    secondary = 3
    primary = 4
    normalize_penalty = true
    tangential_tolerance = 1e-3
    penalty = 1e+7
    al_penetration_tolerance = 1e-8
  [../]
[]

(modules/contact/test/tests/verification/patch_tests/brick_4/brick4_template2.i)

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

[Mesh]
  file = brick4_mesh.e
[]

[Problem]
  type = AugmentedLagrangianContactProblem
  maximum_lagrangian_update_iterations = 200
  extra_tag_vectors = 'ref'
  reference_vector = 'ref'
[]

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

[AuxVariables]
  [./stress_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./penetration]
  [../]
  [./saved_x]
  [../]
  [./saved_y]
  [../]
  [./saved_z]
  [../]
  [./diag_saved_x]
  [../]
  [./diag_saved_y]
  [../]
  [./diag_saved_z]
  [../]
  [./inc_slip_x]
  [../]
  [./inc_slip_y]
  [../]
  [./inc_slip_z]
  [../]
  [./accum_slip_x]
  [../]
  [./accum_slip_y]
  [../]
  [./accum_slip_z]
  [../]
[]

[Kernels]
  [./TensorMechanics]
    use_displaced_mesh = true
    save_in = 'saved_x saved_y saved_z'
    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
  [../]
  [./stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zz
    index_i = 2
    index_j = 2
    execute_on = timestep_end
  [../]
  [./inc_slip_x]
    type = PenetrationAux
    variable = inc_slip_x
    execute_on = timestep_begin
    boundary = 4
    paired_boundary = 3
  [../]
  [./inc_slip_y]
    type = PenetrationAux
    variable = inc_slip_y
    execute_on = timestep_begin
    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
  [../]
[]

[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
  [../]
  [./sigma_yy]
    type = ElementAverageValue
    variable = stress_yy
  [../]
  [./sigma_zz]
    type = ElementAverageValue
    variable = stress_zz
  [../]
  [./disp_x59]
    type = NodalVariableValue
    nodeid = 58
    variable = disp_x
  [../]
  [./disp_x64]
    type = NodalVariableValue
    nodeid = 63
    variable = disp_x
  [../]
  [./disp_y59]
    type = NodalVariableValue
    nodeid = 58
    variable = disp_y
  [../]
  [./disp_y64]
    type = NodalVariableValue
    nodeid = 63
    variable = disp_y
  [../]
  [./_dt]
    type = TimestepSize
  [../]
  [./num_lin_it]
    type = NumLinearIterations
  [../]
  [./num_nonlin_it]
    type = NumNonlinearIterations
  [../]
[]

[BCs]
  [./bot_y]
    type = DirichletBC
    variable = disp_y
    boundary = 1
    value = 0.0
  [../]
  [./side_x]
    type = DirichletBC
    variable = disp_x
    boundary = 2
    value = 0.0
  [../]
  [./back_z]
    type = DirichletBC
    variable = disp_z
    boundary = 6
    value = 0.0
  [../]
  [./top_press]
    type = Pressure
    variable = disp_y
    boundary = 5
    factor = 109.89
  [../]
[]

[Materials]
  [./bot_elas_tens]
    type = ComputeIsotropicElasticityTensor
    block = '1'
    youngs_modulus = 1e6
    poissons_ratio = 0.3
  [../]
  [./bot_strain]
    type = ComputeFiniteStrain
    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 = ComputeFiniteStrain
    block = '2'
  [../]
  [./top_stress]
    type = ComputeFiniteStrainElasticStress
    block = '2'
  [../]
[]

[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
  dt = 1.0
  end_time = 1.0
  num_steps = 10
  dtmin = 1.0
  l_tol = 1e-4
[]

[VectorPostprocessors]
  [./x_disp]
    type = NodalValueSampler
    variable = disp_x
    boundary = '1 3 4 5'
    sort_by = id
  [../]
  [./y_disp]
    type = NodalValueSampler
    variable = disp_y
    boundary = '1 3 4 5'
    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 = 'bot_react_x bot_react_y disp_x59 disp_y59 disp_x64 disp_y64 stress_yy stress_zz top_react_x top_react_y x_disp y_disp cont_press'
    execute_vector_postprocessors_on = timestep_end
  [../]
  [./outfile]
    type = CSV
    delimiter = ' '
    execute_vector_postprocessors_on = none
  [../]
[]

[Contact]
  [./leftright]
    secondary = 3
    primary = 4
    normalize_penalty = true
    tangential_tolerance = 1e-3
    penalty = 1e+9
    al_penetration_tolerance = 1e-8
  [../]
[]

(modules/contact/test/tests/verification/patch_tests/plane_3/plane3_template1.i)

[GlobalParams]
  order = SECOND
  displacements = 'disp_x disp_y'
[]

[Mesh]
  file = plane3_mesh.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
  [../]
  [./stress_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./penetration]
  [../]
  [./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]
  [../]
[]

[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
  [../]
  [./stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zz
    index_i = 2
    index_j = 2
    execute_on = timestep_end
  [../]
  [./zeroslip_x]
    type = ConstantAux
    variable = inc_slip_x
    boundary = 4
    execute_on = timestep_begin
    value = 0.0
  [../]
  [./zeroslip_y]
    type = ConstantAux
    variable = inc_slip_y
    boundary = 4
    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 = 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
  [../]
  [./sigma_yy]
    type = ElementAverageValue
    variable = stress_yy
  [../]
  [./sigma_zz]
    type = ElementAverageValue
    variable = stress_zz
  [../]
  [./disp_x2]
    type = NodalVariableValue
    nodeid = 1
    variable = disp_x
  [../]
  [./disp_x11]
    type = NodalVariableValue
    nodeid = 10
    variable = disp_x
  [../]
  [./disp_y2]
    type = NodalVariableValue
    nodeid = 1
    variable = disp_y
  [../]
  [./disp_y11]
    type = NodalVariableValue
    nodeid = 10
    variable = disp_y
  [../]
  [./_dt]
    type = TimestepSize
  [../]
  [./num_lin_it]
    type = NumLinearIterations
  [../]
  [./num_nonlin_it]
    type = NumNonlinearIterations
  [../]
[]

[BCs]
  [./bot_y]
    type = DirichletBC
    variable = disp_y
    boundary = 1
    value = 0.0
  [../]
  [./side_x]
    type = DirichletBC
    variable = disp_x
    boundary = 2
    value = 0.0
  [../]
  [./top_press]
    type = Pressure
    variable = disp_y
    boundary = 5
    factor = 109.89
  [../]
[]

[Materials]
  [./bot_elas_tens]
    type = ComputeIsotropicElasticityTensor
    block = '1'
    youngs_modulus = 1e6
    poissons_ratio = 0.3
  [../]
  [./bot_strain]
    type = ComputeIncrementalStrain
    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 = ComputeIncrementalStrain
    block = '2'
  [../]
  [./top_stress]
    type = ComputeFiniteStrainElasticStress
    block = '2'
  [../]
[]

[Executioner]
  type = Transient
  solve_type = 'PJFNK'

  petsc_options_iname = '-pc_type'
  petsc_options_value = 'asm'

  line_search = 'none'

  nl_abs_tol = 1e-10
  nl_rel_tol = 1e-8
  l_max_its = 100
  nl_max_its = 200
  dt = 1.0
  end_time = 1.0
  num_steps = 10
  dtmin = 1.0
  l_tol = 1e-3
[]

[VectorPostprocessors]
  [./x_disp]
    type = NodalValueSampler
    variable = disp_x
    boundary = '1 3 4 5'
    sort_by = x
  [../]
  [./cont_press]
    type = NodalValueSampler
    variable = contact_pressure
    boundary = '3'
    sort_by = x
  [../]
[]

[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_x2 disp_y2 disp_x11 disp_y11 sigma_yy sigma_zz top_react_x top_react_y x_disp cont_press'
    execute_vector_postprocessors_on = timestep_end
  [../]
  [./outfile]
    type = CSV
    delimiter = ' '
    execute_vector_postprocessors_on = none
  [../]
[]

[Contact]
  [./leftright]
    secondary = 3
    primary = 4
    normalize_penalty = true
    tangential_tolerance = 1e-3
    penalty = 1e+9
  [../]
[]

(modules/contact/test/tests/verification/patch_tests/cyl_3/cyl3_template1.i)

#
# This input file is a template for both the frictionless and glued test
# variations for the current problem geometry. In order to create an input
# file to run outside the runtest framework, look at the tests file and add the
# appropriate input file lines from the cli_args line.
#

[GlobalParams]
  order = SECOND
  displacements = 'disp_x disp_y'
[]

[Mesh]
  file = cyl3_mesh.e
[]

[Problem]
  type = FEProblem
  coord_type = RZ
[]

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

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

[Kernels]
  [./TensorMechanics]
    use_displaced_mesh = true
    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
  [../]
  [./stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zz
    index_i = 2
    index_j = 2
    execute_on = timestep_end
  [../]
  [./inc_slip_x]
    type = PenetrationAux
    variable = inc_slip_x
    execute_on = timestep_end
    boundary = 3
    paired_boundary = 4
  [../]
  [./inc_slip_y]
    type = PenetrationAux
    variable = inc_slip_y
    execute_on = timestep_end
    boundary = 3
    paired_boundary = 4
  [../]
  [./accum_slip_x]
    type = PenetrationAux
    variable = accum_slip_x
    execute_on = timestep_end
    boundary = 3
    paired_boundary = 4
  [../]
  [./accum_slip_y]
    type = PenetrationAux
    variable = accum_slip_y
    execute_on = timestep_end
    boundary = 3
    paired_boundary = 4
  [../]
  [./penetration]
    type = PenetrationAux
    variable = penetration
    boundary = 3
    paired_boundary = 4
  [../]
  [./tang_force_x]
    type = PenetrationAux
    variable = tang_force_x
    quantity = tangential_force_x
    boundary = 3
    paired_boundary = 4
  [../]
  [./tang_force_y]
    type = PenetrationAux
    variable = tang_force_y
    quantity = tangential_force_y
    boundary = 3
    paired_boundary = 4
  [../]
[] # AuxKernels

[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
  [../]
  [./sigma_yy]
    type = ElementAverageValue
    variable = stress_yy
  [../]
  [./sigma_zz]
    type = ElementAverageValue
    variable = stress_zz
  [../]
  [./disp_x2]
    type = NodalVariableValue
    nodeid = 1
    variable = disp_x
  [../]
  [./disp_x11]
    type = NodalVariableValue
    nodeid = 10
    variable = disp_x
  [../]
  [./disp_y2]
    type = NodalVariableValue
    nodeid = 1
    variable = disp_y
  [../]
  [./disp_y11]
    type = NodalVariableValue
    nodeid = 10
    variable = disp_y
  [../]
  [./_dt]
    type = TimestepSize
  [../]
  [./num_lin_it]
    type = NumLinearIterations
  [../]
  [./num_nonlin_it]
    type = NumNonlinearIterations
  [../]
[]

[BCs]
  [./bot_y]
    type = DirichletBC
    variable = disp_y
    boundary = 1
    value = 0.0
  [../]
  [./side_x]
    type = DirichletBC
    variable = disp_x
    boundary = 2
    value = 0.0
  [../]
  [./top_press]
    type = Pressure
    variable = disp_y
    boundary = 5
    factor = 109.89
  [../]
[]

[Materials]
  [./bot_elas_tens]
    type = ComputeIsotropicElasticityTensor
    block = '1'
    youngs_modulus = 1e6
    poissons_ratio = 0.3
  [../]
  [./bot_strain]
    type = ComputeAxisymmetricRZIncrementalStrain
    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 = ComputeAxisymmetricRZIncrementalStrain
    block = '2'
  [../]
  [./top_stress]
    type = ComputeFiniteStrainElasticStress
    block = '2'
  [../]
[]

[Executioner]
  type = Transient
  solve_type = 'PJFNK'

  line_search = 'none'

  nl_abs_tol = 1e-7
  nl_rel_tol = 1e-6
  l_max_its = 100
  nl_max_its = 1000
  dt = 1.0
  end_time = 1.0
  num_steps = 10
  dtmin = 1.0
  l_tol = 1e-4
[]

[VectorPostprocessors]
  [./x_disp]
    type = NodalValueSampler
    variable = disp_x
    boundary = '1 3 4 5'
    sort_by = x
  [../]
  [./cont_press]
    type = NodalValueSampler
    variable = contact_pressure
    boundary = '3'
    sort_by = x
  [../]
[]

[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_x2 disp_y2 disp_x11 disp_y11 sigma_yy sigma_zz top_react_x top_react_y x_disp cont_press'
    execute_vector_postprocessors_on = timestep_end
  [../]
  [./outfile]
    type = CSV
    delimiter = ' '
    execute_vector_postprocessors_on = none
  [../]
[]

[Contact]
  [./leftright]
    secondary = 3
    primary = 4
    tangential_tolerance = 1e-3
    penalty = 1e+9
  [../]
[]

(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/contact/test/tests/verification/patch_tests/ring_1/ring1_template2.i)

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

[Mesh]
  file = ring1_mesh.e
[]

[Problem]
  type = AugmentedLagrangianContactProblem
  maximum_lagrangian_update_iterations = 200
  coord_type = RZ
[]

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

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

[Kernels]
  [./TensorMechanics]
    use_displaced_mesh = true
    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
  [../]
  [./stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zz
    index_i = 2
    index_j = 2
    execute_on = timestep_end
  [../]
  [./inc_slip_x]
    type = PenetrationAux
    variable = inc_slip_x
    execute_on = timestep_end
    boundary = 3
    paired_boundary = 4
  [../]
  [./inc_slip_y]
    type = PenetrationAux
    variable = inc_slip_y
    execute_on = timestep_end
    boundary = 3
    paired_boundary = 4
  [../]
  [./accum_slip_x]
    type = PenetrationAux
    variable = accum_slip_x
    execute_on = timestep_end
    boundary = 3
    paired_boundary = 4
  [../]
  [./accum_slip_y]
    type = PenetrationAux
    variable = accum_slip_y
    execute_on = timestep_end
    boundary = 3
    paired_boundary = 4
  [../]
  [./penetration]
    type = PenetrationAux
    variable = penetration
    boundary = 3
    paired_boundary = 4
  [../]
  [./tang_force_x]
    type = PenetrationAux
    variable = tang_force_x
    quantity = tangential_force_x
    boundary = 3
    paired_boundary = 4
  [../]
  [./tang_force_y]
    type = PenetrationAux
    variable = tang_force_y
    quantity = tangential_force_y
    boundary = 3
    paired_boundary = 4
  [../]
[] # AuxKernels

[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
  [../]
  [./sigma_yy]
    type = ElementAverageValue
    variable = stress_yy
  [../]
  [./sigma_zz]
    type = ElementAverageValue
    variable = stress_zz
  [../]
  [./disp_x2]
    type = NodalVariableValue
    nodeid = 1
    variable = disp_x
  [../]
  [./disp_x7]
    type = NodalVariableValue
    nodeid = 6
    variable = disp_x
  [../]
  [./disp_y2]
    type = NodalVariableValue
    nodeid = 1
    variable = disp_y
  [../]
  [./disp_y7]
    type = NodalVariableValue
    nodeid = 6
    variable = disp_y
  [../]
  [./_dt]
    type = TimestepSize
  [../]
  [./num_lin_it]
    type = NumLinearIterations
  [../]
  [./num_nonlin_it]
    type = NumNonlinearIterations
  [../]
[]

[BCs]
  [./bot_y]
    type = DirichletBC
    variable = disp_y
    boundary = 1
    value = 0.0
  [../]
  [./top_press]
    type = Pressure
    variable = disp_y
    boundary = 5
    factor = 109.89
  [../]
[]

[Materials]
  [./bot_elas_tens]
    type = ComputeIsotropicElasticityTensor
    block = '1'
    youngs_modulus = 1e6
    poissons_ratio = 0.3
  [../]
  [./bot_strain]
    type = ComputeAxisymmetricRZIncrementalStrain
    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 = ComputeAxisymmetricRZIncrementalStrain
    block = '2'
  [../]
  [./top_stress]
    type = ComputeFiniteStrainElasticStress
    block = '2'
  [../]
[]

[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-10
  nl_rel_tol = 1e-8
  l_max_its = 100
  nl_max_its = 200
  dt = 1.0
  end_time = 1.0
  num_steps = 10
  dtmin = 1.0
  l_tol = 1e-5
[]

[VectorPostprocessors]
  [./x_disp]
    type = NodalValueSampler
    variable = disp_x
    boundary = '1 3 4 5'
    sort_by = x
  [../]
  [./cont_press]
    type = NodalValueSampler
    variable = contact_pressure
    boundary = '3'
    sort_by = x
  [../]
[]

[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_x2 disp_y2 disp_x7 disp_y7 sigma_yy sigma_zz top_react_x top_react_y x_disp cont_press'
    execute_vector_postprocessors_on = timestep_end
  [../]
  [./outfile]
    type = CSV
    delimiter = ' '
    execute_vector_postprocessors_on = none
  [../]
[]

[Contact]
  [./leftright]
    secondary = 3
    primary = 4
    normalize_penalty = true
    tangential_tolerance = 1e-3
    penalty = 1e+9
    al_penetration_tolerance = 1e-8
  [../]
[]

(modules/contact/test/tests/verification/patch_tests/brick_2/brick2_template1.i)

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

[Mesh]
  file = brick2_mesh.e
[]

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

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

[AuxVariables]
  [./stress_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./penetration]
  [../]
  [./saved_x]
  [../]
  [./saved_y]
  [../]
  [./saved_z]
  [../]
  [./diag_saved_x]
  [../]
  [./diag_saved_y]
  [../]
  [./diag_saved_z]
  [../]
  [./inc_slip_x]
  [../]
  [./inc_slip_y]
  [../]
  [./inc_slip_z]
  [../]
  [./accum_slip_x]
  [../]
  [./accum_slip_y]
  [../]
  [./accum_slip_z]
  [../]
[]

[Kernels]
  [./TensorMechanics]
    use_displaced_mesh = true
    save_in = 'saved_x saved_y saved_z'
    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
  [../]
  [./stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zz
    index_i = 2
    index_j = 2
    execute_on = timestep_end
  [../]
  [./inc_slip_x]
    type = PenetrationAux
    variable = inc_slip_x
    execute_on = timestep_begin
    boundary = 4
    paired_boundary = 3
  [../]
  [./inc_slip_y]
    type = PenetrationAux
    variable = inc_slip_y
    execute_on = timestep_begin
    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
  [../]
[]

[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
  [../]
  [./sigma_yy]
    type = ElementAverageValue
    variable = stress_yy
  [../]
  [./sigma_zz]
    type = ElementAverageValue
    variable = stress_zz
  [../]
  [./disp_x7]
    type = NodalVariableValue
    nodeid = 6
    variable = disp_x
  [../]
  [./disp_x26]
    type = NodalVariableValue
    nodeid = 25
    variable = disp_x
  [../]
  [./disp_y7]
    type = NodalVariableValue
    nodeid = 6
    variable = disp_y
  [../]
  [./disp_y26]
    type = NodalVariableValue
    nodeid = 25
    variable = disp_y
  [../]
  [./_dt]
    type = TimestepSize
  [../]
  [./num_lin_it]
    type = NumLinearIterations
  [../]
  [./num_nonlin_it]
    type = NumNonlinearIterations
  [../]
[]

[BCs]
  [./bot_y]
    type = DirichletBC
    variable = disp_y
    boundary = 1
    value = 0.0
  [../]
  [./side_x]
    type = DirichletBC
    variable = disp_x
    boundary = 2
    value = 0.0
  [../]
  [./back_z]
    type = DirichletBC
    variable = disp_z
    boundary = 6
    value = 0.0
  [../]
  [./top_press]
    type = Pressure
    variable = disp_y
    boundary = 5
    factor = 109.89
  [../]
[]

[Materials]
  [./bot_elas_tens]
    type = ComputeIsotropicElasticityTensor
    block = '1'
    youngs_modulus = 1e6
    poissons_ratio = 0.3
  [../]
  [./bot_strain]
    type = ComputeFiniteStrain
    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 = ComputeFiniteStrain
    block = '2'
  [../]
  [./top_stress]
    type = ComputeFiniteStrainElasticStress
    block = '2'
  [../]
[]

[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-9
  nl_rel_tol = 1e-8
  l_max_its = 50
  nl_max_its = 100
  dt = 1.0
  end_time = 1.0
  num_steps = 10
  dtmin = 1.0
  l_tol = 1e-5

[]

[VectorPostprocessors]
  [./x_disp]
    type = NodalValueSampler
    variable = disp_x
    boundary = '1 3 4 5'
    sort_by = id
  [../]
  [./y_disp]
    type = NodalValueSampler
    variable = disp_y
    boundary = '1 3 4 5'
    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 = 'bot_react_x bot_react_y disp_x7 disp_y7 disp_x26 disp_y26 stress_yy stress_zz top_react_x top_react_y x_disp y_disp cont_press'
    execute_vector_postprocessors_on = timestep_end
  [../]
  [./outfile]
    type = CSV
    delimiter = ' '
    execute_vector_postprocessors_on = none
  [../]
[]

[Contact]
  [./leftright]
    secondary = 3
    primary = 4
    normalize_penalty = true
    tangential_tolerance = 1e-3
    penalty = 1e+9
  [../]
[]

(modules/contact/test/tests/verification/patch_tests/plane_2/plane2_template2.i)

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

[Mesh]
  file = plane2_mesh.e
[]

[Problem]
  type = AugmentedLagrangianContactProblem
  extra_tag_vectors = 'ref'
  reference_vector = 'ref'
  maximum_lagrangian_update_iterations = 200
[]

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

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

[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
  [../]
  [./stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zz
    index_i = 2
    index_j = 2
    execute_on = timestep_end
  [../]
  [./zeroslip_x]
    type = ConstantAux
    variable = inc_slip_x
    boundary = 4
    execute_on = timestep_begin
    value = 0.0
  [../]
  [./zeroslip_y]
    type = ConstantAux
    variable = inc_slip_y
    boundary = 4
    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 = 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
  [../]
  [./sigma_yy]
    type = ElementAverageValue
    variable = stress_yy
  [../]
  [./sigma_zz]
    type = ElementAverageValue
    variable = stress_zz
  [../]
  [./disp_x5]
    type = NodalVariableValue
    nodeid = 4
    variable = disp_x
  [../]
  [./disp_x9]
    type = NodalVariableValue
    nodeid = 8
    variable = disp_x
  [../]
  [./disp_y5]
    type = NodalVariableValue
    nodeid = 4
    variable = disp_y
  [../]
  [./disp_y9]
    type = NodalVariableValue
    nodeid = 8
    variable = disp_y
  [../]
  [./_dt]
    type = TimestepSize
  [../]
  [./num_lin_it]
    type = NumLinearIterations
  [../]
  [./num_nonlin_it]
    type = NumNonlinearIterations
  [../]
[]

[BCs]
  [./bot_y]
    type = DirichletBC
    variable = disp_y
    boundary = 1
    value = 0.0
  [../]
  [./side_x]
    type = DirichletBC
    variable = disp_x
    boundary = 2
    value = 0.0
  [../]
  [./top_press]
    type = Pressure
    variable = disp_y
    boundary = 5
    factor = 109.89
  [../]
[]

[Materials]
  [./bot_elas_tens]
    type = ComputeIsotropicElasticityTensor
    block = '1'
    youngs_modulus = 1e6
    poissons_ratio = 0.3
  [../]
  [./bot_strain]
    type = ComputeIncrementalStrain
    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 = ComputeIncrementalStrain
    block = '2'
  [../]
  [./top_stress]
    type = ComputeFiniteStrainElasticStress
    block = '2'
  [../]
[]

[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-7
  l_max_its = 100
  nl_max_its = 200
  dt = 1.0
  end_time = 1.0
  num_steps = 10
  dtmin = 1.0
  l_tol = 1e-3
[]

[VectorPostprocessors]
  [./x_disp]
    type = NodalValueSampler
    variable = disp_x
    boundary = '1 3 4 5'
    sort_by = x
  [../]
  [./cont_press]
    type = NodalValueSampler
    variable = contact_pressure
    boundary = '3'
    sort_by = x
  [../]
[]

[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_x5 disp_y5 disp_x9 disp_y9 sigma_yy sigma_zz top_react_x top_react_y x_disp cont_press'
    execute_vector_postprocessors_on = timestep_end
  [../]
  [./outfile]
    type = CSV
    delimiter = ' '
    execute_vector_postprocessors_on = none
  [../]
[]

[Contact]
  [./leftright]
    secondary = 3
    primary = 4
    normalize_penalty = true
    tangential_tolerance = 1e-3
    penalty = 1e+9
    al_penetration_tolerance = 1e-8
  [../]
[]

(modules/contact/test/tests/verification/patch_tests/brick_1/brick1_aug.i)

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

[Mesh]
  file = brick1_mesh.e
[]

[Problem]
  type = AugmentedLagrangianContactProblem
  extra_tag_vectors = 'ref'
  reference_vector = 'ref'
  maximum_lagrangian_update_iterations = 100
[]

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

[AuxVariables]
  [./stress_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./penetration]
  [../]
  [./saved_x]
  [../]
  [./saved_y]
  [../]
  [./saved_z]
  [../]
  [./diag_saved_x]
  [../]
  [./diag_saved_y]
  [../]
  [./diag_saved_z]
  [../]
  [./inc_slip_x]
  [../]
  [./inc_slip_y]
  [../]
  [./inc_slip_z]
  [../]
  [./accum_slip_x]
  [../]
  [./accum_slip_y]
  [../]
  [./accum_slip_z]
  [../]
[]

[Kernels]
  [./TensorMechanics]
    use_displaced_mesh = true
    save_in = 'saved_x saved_y saved_z'
    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
  [../]
  [./stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zz
    index_i = 2
    index_j = 2
    execute_on = timestep_end
  [../]
  [./inc_slip_x]
    type = PenetrationAux
    variable = inc_slip_x
    execute_on = timestep_begin
    boundary = 4
    paired_boundary = 3
  [../]
  [./inc_slip_y]
    type = PenetrationAux
    variable = inc_slip_y
    execute_on = timestep_begin
    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
  [../]
[]

[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
  [../]
  [./sigma_yy]
    type = ElementAverageValue
    variable = stress_yy
  [../]
  [./sigma_zz]
    type = ElementAverageValue
    variable = stress_zz
  [../]
  [./disp_x5]
    type = NodalVariableValue
    nodeid = 4
    variable = disp_x
  [../]
  [./disp_x8]
    type = NodalVariableValue
    nodeid = 7
    variable = disp_x
  [../]
  [./disp_x13]
    type = NodalVariableValue
    nodeid = 12
    variable = disp_x
  [../]
  [./disp_x16]
    type = NodalVariableValue
    nodeid = 15
    variable = disp_x
  [../]
  [./disp_y5]
    type = NodalVariableValue
    nodeid = 4
    variable = disp_y
  [../]
  [./disp_y8]
    type = NodalVariableValue
    nodeid = 7
    variable = disp_y
  [../]
  [./disp_y13]
    type = NodalVariableValue
    nodeid = 12
    variable = disp_y
  [../]
  [./disp_y16]
    type = NodalVariableValue
    nodeid = 15
    variable = disp_y
  [../]
  [./_dt]
    type = TimestepSize
  [../]
  [./num_lin_it]
    type = NumLinearIterations
  [../]
  [./num_nonlin_it]
    type = NumNonlinearIterations
  [../]
[]

[BCs]
  [./bot_y]
    type = DirichletBC
    variable = disp_y
    boundary = 1
    value = 0.0
  [../]
  [./side_x]
    type = DirichletBC
    variable = disp_x
    boundary = 2
    value = 0.0
  [../]
  [./back_z]
    type = DirichletBC
    variable = disp_z
    boundary = 6
    value = 0.0
  [../]
  [./top_press]
    type = Pressure
    variable = disp_y
    boundary = 5
    factor = 109.89
  [../]
[]

[Materials]
  [./bot_elas_tens]
    type = ComputeIsotropicElasticityTensor
    block = '1'
    youngs_modulus = 1e6
    poissons_ratio = 0.3
  [../]
  [./bot_strain]
    type = ComputeFiniteStrain
    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 = ComputeFiniteStrain
    block = '2'
  [../]
  [./top_stress]
    type = ComputeFiniteStrainElasticStress
    block = '2'
  [../]
[]

[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-9
  nl_rel_tol = 1e-8
  l_max_its = 50
  nl_max_its = 100
  dt = 1.0
  end_time = 1.0
  num_steps = 10
  dtmin = 1.0
  l_tol = 1e-5
[]

[VectorPostprocessors]
  [./x_disp]
    type = NodalValueSampler
    variable = disp_x
    boundary = '1 3 4 5'
    sort_by = id
  [../]
  [./y_disp]
    type = NodalValueSampler
    variable = disp_y
    boundary = '1 3 4 5'
    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 = 'bot_react_x bot_react_y disp_x5 disp_x8 disp_x13 disp_x16 disp_y5 disp_y8 disp_y13 disp_y16 stress_yy stress_zz top_react_x top_react_y x_disp y_disp cont_press'
    execute_vector_postprocessors_on = timestep_end
  [../]
  [./outfile]
    type = CSV
    delimiter = ' '
    execute_vector_postprocessors_on = none
  [../]
[]

[Contact]
  [./leftright]
    secondary = 3
    primary = 4
    tangential_tolerance = 1e-3
    formulation = augmented_lagrange
    normalize_penalty = true
    penalty = 1e8
    model = frictionless
    al_penetration_tolerance = 1e-8
  [../]
[]

(modules/contact/test/tests/verification/patch_tests/cyl_4/cyl4_template1.i)

[GlobalParams]
  order = SECOND
  displacements = 'disp_x disp_y'
[]

[Mesh]
  file = cyl4_mesh.e
[]

[Problem]
  type = FEProblem
  coord_type = RZ
[]

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

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

[Kernels]
  [./TensorMechanics]
    use_displaced_mesh = true
    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
  [../]
  [./stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zz
    index_i = 2
    index_j = 2
    execute_on = timestep_end
  [../]
  [./inc_slip_x]
    type = PenetrationAux
    variable = inc_slip_x
    execute_on = timestep_end
    boundary = 3
    paired_boundary = 4
  [../]
  [./inc_slip_y]
    type = PenetrationAux
    variable = inc_slip_y
    execute_on = timestep_end
    boundary = 3
    paired_boundary = 4
  [../]
  [./accum_slip_x]
    type = PenetrationAux
    variable = accum_slip_x
    execute_on = timestep_end
    boundary = 3
    paired_boundary = 4
  [../]
  [./accum_slip_y]
    type = PenetrationAux
    variable = accum_slip_y
    execute_on = timestep_end
    boundary = 3
    paired_boundary = 4
  [../]
  [./penetration]
    type = PenetrationAux
    variable = penetration
    boundary = 3
    paired_boundary = 4
  [../]
  [./tang_force_x]
    type = PenetrationAux
    variable = tang_force_x
    quantity = tangential_force_x
    boundary = 3
    paired_boundary = 4
  [../]
  [./tang_force_y]
    type = PenetrationAux
    variable = tang_force_y
    quantity = tangential_force_y
    boundary = 3
    paired_boundary = 4
  [../]
[] # AuxKernels

[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
  [../]
  [./stress_yy]
    type = ElementAverageValue
    variable = stress_yy
  [../]
  [./stress_zz]
    type = ElementAverageValue
    variable = stress_zz
  [../]
  [./disp_x16]
    type = NodalVariableValue
    nodeid = 15
    variable = disp_x
  [../]
  [./disp_x9]
    type = NodalVariableValue
    nodeid = 8
    variable = disp_x
  [../]
  [./disp_y16]
    type = NodalVariableValue
    nodeid = 15
    variable = disp_y
  [../]
  [./disp_y9]
    type = NodalVariableValue
    nodeid = 8
    variable = disp_y
  [../]
  [./_dt]
    type = TimestepSize
  [../]
  [./num_lin_it]
    type = NumLinearIterations
  [../]
  [./num_nonlin_it]
    type = NumNonlinearIterations
  [../]
[]

[BCs]
  [./bot_y]
    type = DirichletBC
    variable = disp_y
    boundary = 1
    value = 0.0
  [../]
  [./side_x]
    type = DirichletBC
    variable = disp_x
    boundary = 2
    value = 0.0
  [../]
  [./top_press]
    type = Pressure
    variable = disp_y
    boundary = 5
    factor = 109.89
  [../]
[]

[Materials]
  [./bot_elas_tens]
    type = ComputeIsotropicElasticityTensor
    block = '1'
    youngs_modulus = 1e6
    poissons_ratio = 0.3
  [../]
  [./bot_strain]
    type = ComputeAxisymmetricRZIncrementalStrain
    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 = ComputeAxisymmetricRZIncrementalStrain
    block = '2'
  [../]
  [./top_stress]
    type = ComputeFiniteStrainElasticStress
    block = '2'
  [../]
[]

[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 = 1000
  dt = 1.0
  end_time = 1.0
  num_steps = 10
  dtmin = 1.0
  l_tol = 1e-4
[]

[VectorPostprocessors]
  [./x_disp]
    type = NodalValueSampler
    variable = disp_x
    boundary = '1 3 4 5'
    sort_by = x
  [../]
  [./cont_press]
    type = NodalValueSampler
    variable = contact_pressure
    boundary = '3'
    sort_by = x
  [../]
[]

[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_x9 disp_y9 disp_x16 disp_y16 stress_yy stress_zz top_react_x top_react_y x_disp cont_press'
    execute_vector_postprocessors_on = timestep_end
  [../]
  [./outfile]
    type = CSV
    delimiter = ' '
    execute_vector_postprocessors_on = none
  [../]
[]

[Contact]
  [./leftright]
    secondary = 3
    primary = 4
    tangential_tolerance = 1e-3
    penalty = 1e+9
  [../]
[]

(modules/contact/test/tests/verification/patch_tests/cyl_2/cyl2_mu_0_2_pen.i)

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

[Mesh]
  file = cyl2_mesh.e
[]

[Problem]
  type = FEProblem
  coord_type = RZ
[]

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

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

[Kernels]
  [./TensorMechanics]
    use_displaced_mesh = true
    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
  [../]
  [./stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zz
    index_i = 2
    index_j = 2
    execute_on = timestep_end
  [../]
  [./inc_slip_x]
    type = PenetrationAux
    variable = inc_slip_x
    execute_on = timestep_end
    boundary = 3
    paired_boundary = 4
  [../]
  [./inc_slip_y]
    type = PenetrationAux
    variable = inc_slip_y
    execute_on = timestep_end
    boundary = 3
    paired_boundary = 4
  [../]
  [./accum_slip_x]
    type = PenetrationAux
    variable = accum_slip_x
    execute_on = timestep_end
    boundary = 3
    paired_boundary = 4
  [../]
  [./accum_slip_y]
    type = PenetrationAux
    variable = accum_slip_y
    execute_on = timestep_end
    boundary = 3
    paired_boundary = 4
  [../]
  [./penetration]
    type = PenetrationAux
    variable = penetration
    boundary = 3
    paired_boundary = 4
  [../]
  [./tang_force_x]
    type = PenetrationAux
    variable = tang_force_x
    quantity = tangential_force_x
    boundary = 3
    paired_boundary = 4
  [../]
  [./tang_force_y]
    type = PenetrationAux
    variable = tang_force_y
    quantity = tangential_force_y
    boundary = 3
    paired_boundary = 4
  [../]
[] # AuxKernels

[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
  [../]
  [./sigma_yy]
    type = ElementAverageValue
    variable = stress_yy
  [../]
  [./sigma_zz]
    type = ElementAverageValue
    variable = stress_zz
  [../]
  [./disp_x5]
    type = NodalVariableValue
    nodeid = 4
    variable = disp_x
  [../]
  [./disp_x9]
    type = NodalVariableValue
    nodeid = 8
    variable = disp_x
  [../]
  [./disp_y5]
    type = NodalVariableValue
    nodeid = 4
    variable = disp_y
  [../]
  [./disp_y9]
    type = NodalVariableValue
    nodeid = 8
    variable = disp_y
  [../]
  [./_dt]
    type = TimestepSize
  [../]
  [./num_lin_it]
    type = NumLinearIterations
  [../]
  [./num_nonlin_it]
    type = NumNonlinearIterations
  [../]
[]

[BCs]
  [./bot_y]
    type = DirichletBC
    variable = disp_y
    boundary = 1
    value = 0.0
  [../]
  [./side_x]
    type = DirichletBC
    variable = disp_x
    boundary = 2
    value = 0.0
  [../]
  [./top_press]
    type = Pressure
    variable = disp_y
    boundary = 5
    factor = 109.89
  [../]
[]

[Materials]
  [./bot_elas_tens]
    type = ComputeIsotropicElasticityTensor
    block = '1'
    youngs_modulus = 1e6
    poissons_ratio = 0.3
  [../]
  [./bot_strain]
    type = ComputeAxisymmetricRZIncrementalStrain
    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 = ComputeAxisymmetricRZIncrementalStrain
    block = '2'
  [../]
  [./top_stress]
    type = ComputeFiniteStrainElasticStress
    block = '2'
  [../]
[]

[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
  dt = 1.0
  end_time = 1.0
  num_steps = 10
  dtmin = 1.0
  l_tol = 1e-4
[]

[VectorPostprocessors]
  [./x_disp]
    type = NodalValueSampler
    variable = disp_x
    boundary = '1 3 4 5'
    sort_by = x
  [../]
  [./cont_press]
    type = NodalValueSampler
    variable = contact_pressure
    boundary = '3'
    sort_by = x
  [../]
[]

[Outputs]
  file_base = cyl2_mu_0_2_pen_out
  print_linear_residuals = true
  perf_graph = true
  [./exodus]
    type = Exodus
    elemental_as_nodal = true
  [../]
  [./console]
    type = Console
    max_rows = 5
  [../]
  [./chkfile]
    type = CSV
    file_base = cyl2_mu_0_2_pen_check
    show = 'bot_react_x bot_react_y disp_x5 disp_y5 disp_x9 disp_y9 sigma_yy sigma_zz top_react_x top_react_y x_disp cont_press'
    execute_vector_postprocessors_on = timestep_end
  [../]
  [./outfile]
    type = CSV
    delimiter = ' '
    execute_vector_postprocessors_on = none
  [../]
[]

[Contact]
  [./leftright]
    secondary = 3
    primary = 4
    model = coulomb
    formulation = penalty
    normalize_penalty = true
    tangential_tolerance = 1e-3
    friction_coefficient = 0.2
    penalty = 1e+9
  [../]
[]

(modules/contact/test/tests/verification/patch_tests/brick_1/brick1_mu_0_2_pen.i)

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

[Mesh]
  file = brick1_mesh.e
[]

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

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

[AuxVariables]
  [./stress_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./penetration]
  [../]
  [./saved_x]
  [../]
  [./saved_y]
  [../]
  [./saved_z]
  [../]
  [./diag_saved_x]
  [../]
  [./diag_saved_y]
  [../]
  [./diag_saved_z]
  [../]
  [./inc_slip_x]
  [../]
  [./inc_slip_y]
  [../]
  [./inc_slip_z]
  [../]
  [./accum_slip_x]
  [../]
  [./accum_slip_y]
  [../]
  [./accum_slip_z]
  [../]
  [./tang_force_x]
  [../]
  [./tang_force_y]
  [../]
  [./tang_force_z]
  [../]
[]

[Kernels]
  [./TensorMechanics]
    use_displaced_mesh = true
    save_in = 'saved_x saved_y saved_z'
    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
  [../]
  [./stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zz
    index_i = 2
    index_j = 2
    execute_on = timestep_end
  [../]
  [./inc_slip_x]
    type = PenetrationAux
    variable = inc_slip_x
    execute_on = timestep_end
    boundary = 3
    paired_boundary = 4
  [../]
  [./inc_slip_y]
    type = PenetrationAux
    variable = inc_slip_y
    execute_on = timestep_end
    boundary = 3
    paired_boundary = 4
  [../]
  [./accum_slip_x]
    type = PenetrationAux
    variable = accum_slip_x
    execute_on = timestep_end
    boundary = 3
    paired_boundary = 4
  [../]
  [./accum_slip_y]
    type = PenetrationAux
    variable = accum_slip_y
    execute_on = timestep_end
    boundary = 3
    paired_boundary = 4
  [../]
  [./penetration]
    type = PenetrationAux
    variable = penetration
    boundary = 3
    paired_boundary = 4
  [../]
  [./tang_force_x]
    type = PenetrationAux
    variable = tang_force_x
    quantity = tangential_force_x
    boundary = 3
    paired_boundary = 4
  [../]
  [./tang_force_y]
    type = PenetrationAux
    variable = tang_force_y
    quantity = tangential_force_y
    boundary = 3
    paired_boundary = 4
  [../]
[]

[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
  [../]
  [./sigma_yy]
    type = ElementAverageValue
    variable = stress_yy
  [../]
  [./sigma_zz]
    type = ElementAverageValue
    variable = stress_zz
  [../]
  [./disp_x5]
    type = NodalVariableValue
    nodeid = 4
    variable = disp_x
  [../]
  [./disp_x8]
    type = NodalVariableValue
    nodeid = 7
    variable = disp_x
  [../]
  [./disp_x13]
    type = NodalVariableValue
    nodeid = 12
    variable = disp_x
  [../]
  [./disp_x16]
    type = NodalVariableValue
    nodeid = 15
    variable = disp_x
  [../]
  [./disp_y5]
    type = NodalVariableValue
    nodeid = 4
    variable = disp_y
  [../]
  [./disp_y8]
    type = NodalVariableValue
    nodeid = 7
    variable = disp_y
  [../]
  [./disp_y13]
    type = NodalVariableValue
    nodeid = 12
    variable = disp_y
  [../]
  [./disp_y16]
    type = NodalVariableValue
    nodeid = 15
    variable = disp_y
  [../]
  [./_dt]
    type = TimestepSize
  [../]
  [./num_lin_it]
    type = NumLinearIterations
  [../]
  [./num_nonlin_it]
    type = NumNonlinearIterations
  [../]
[]

[BCs]
  [./bot_y]
    type = DirichletBC
    variable = disp_y
    boundary = 1
    value = 0.0
  [../]
  [./side_x]
    type = DirichletBC
    variable = disp_x
    boundary = 2
    value = 0.0
  [../]
  [./back_z]
    type = DirichletBC
    variable = disp_z
    boundary = 6
    value = 0.0
  [../]
  [./top_press]
    type = Pressure
    variable = disp_y
    boundary = 5
    factor = 109.89
  [../]
[]

[Materials]
  [./bot_elas_tens]
    type = ComputeIsotropicElasticityTensor
    block = '1'
    youngs_modulus = 1e6
    poissons_ratio = 0.3
  [../]
  [./bot_strain]
    type = ComputeFiniteStrain
    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 = ComputeFiniteStrain
    block = '2'
  [../]
  [./top_stress]
    type = ComputeFiniteStrainElasticStress
    block = '2'
  [../]
[]

[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-9
  nl_rel_tol = 1e-8
  l_max_its = 50
  nl_max_its = 100
  dt = 1.0
  end_time = 1.0
  num_steps = 10
  dtmin = 1.0
  l_tol = 1e-5
[]

[VectorPostprocessors]
  [./x_disp]
    type = NodalValueSampler
    variable = disp_x
    boundary = '1 3 4 5'
    sort_by = id
  [../]
  [./y_disp]
    type = NodalValueSampler
    variable = disp_y
    boundary = '1 3 4 5'
    sort_by = id
  [../]
  [./cont_press]
    type = NodalValueSampler
    variable = contact_pressure
    boundary = '3'
    sort_by = id
  [../]
[]

[Outputs]
  file_base = brick1_mu_0_2_pen_out
  print_linear_residuals = true
  perf_graph = true
  [./exodus]
    type = Exodus
    elemental_as_nodal = true
  [../]
  [./console]
    type = Console
    max_rows = 5
  [../]
  [./chkfile]
    type = CSV
    file_base = brick1_mu_0_2_pen_check
    show = 'bot_react_x bot_react_y disp_x5 disp_x8 disp_x13 disp_x16 disp_y5 disp_y8 disp_y13 disp_y16 stress_yy stress_zz top_react_x top_react_y x_disp y_disp cont_press'
    execute_vector_postprocessors_on = timestep_end
  [../]
  [./outfile]
    type = CSV
    delimiter = ' '
    execute_vector_postprocessors_on = none
  [../]
[]

[Contact]
  [./leftright]
    secondary = 3
    primary = 4
    model = coulomb
    formulation = penalty
    normalize_penalty = true
    friction_coefficient = 0.2
    penalty = 1e+9
  [../]
[]

(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
  [../]
[]

(modules/contact/test/tests/verification/patch_tests/plane_1/plane1_mu_0_2_pen.i)

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

[Mesh]
  file = plane1_mesh.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
  [../]
  [./stress_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./penetration]
  [../]
  [./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]
  [../]
[]

[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
  [../]
  [./stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zz
    index_i = 2
    index_j = 2
    execute_on = timestep_end
  [../]
  [./inc_slip_x]
    type = PenetrationAux
    variable = inc_slip_x
    execute_on = timestep_end
    boundary = 3
    paired_boundary = 4
  [../]
  [./inc_slip_y]
    type = PenetrationAux
    variable = inc_slip_y
    execute_on = timestep_end
    boundary = 3
    paired_boundary = 4
  [../]
  [./accum_slip_x]
    type = PenetrationAux
    variable = accum_slip_x
    execute_on = timestep_end
    boundary = 3
    paired_boundary = 4
  [../]
  [./accum_slip_y]
    type = PenetrationAux
    variable = accum_slip_y
    execute_on = timestep_end
    boundary = 3
    paired_boundary = 4
  [../]
  [./penetration]
    type = PenetrationAux
    variable = penetration
    boundary = 3
    paired_boundary = 4
  [../]
  [./tang_force_x]
    type = PenetrationAux
    variable = tang_force_x
    quantity = tangential_force_x
    boundary = 3
    paired_boundary = 4
  [../]
  [./tang_force_y]
    type = PenetrationAux
    variable = tang_force_y
    quantity = tangential_force_y
    boundary = 3
    paired_boundary = 4
  [../]
[]

[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
  [../]
  [./sigma_yy]
    type = ElementAverageValue
    variable = stress_yy
  [../]
  [./sigma_zz]
    type = ElementAverageValue
    variable = stress_zz
  [../]
  [./disp_x2]
    type = NodalVariableValue
    nodeid = 1
    variable = disp_x
  [../]
  [./disp_x7]
    type = NodalVariableValue
    nodeid = 6
    variable = disp_x
  [../]
  [./disp_y2]
    type = NodalVariableValue
    nodeid = 1
    variable = disp_y
  [../]
  [./disp_y7]
    type = NodalVariableValue
    nodeid = 6
    variable = disp_y
  [../]
  [./_dt]
    type = TimestepSize
  [../]
  [./num_lin_it]
    type = NumLinearIterations
  [../]
  [./num_nonlin_it]
    type = NumNonlinearIterations
  [../]
[]

[BCs]
  [./bot_y]
    type = DirichletBC
    variable = disp_y
    boundary = 1
    value = 0.0
  [../]
  [./side_x]
    type = DirichletBC
    variable = disp_x
    boundary = 2
    value = 0.0
  [../]
  [./top_press]
    type = Pressure
    variable = disp_y
    boundary = 5
    factor = 109.89
  [../]
[]

[Materials]
  [./bot_elas_tens]
    type = ComputeIsotropicElasticityTensor
    block = '1'
    youngs_modulus = 1e6
    poissons_ratio = 0.3
  [../]
  [./bot_strain]
    type = ComputeIncrementalStrain
    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 = ComputeIncrementalStrain
    block = '2'
  [../]
  [./top_stress]
    type = ComputeFiniteStrainElasticStress
    block = '2'
  [../]
[]

[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-9
  nl_rel_tol = 1e-8
  l_max_its = 50
  nl_max_its = 100
  dt = 1.0
  end_time = 1.0
  num_steps = 10
  dtmin = 1.0
  l_tol = 1e-3
[]

[VectorPostprocessors]
  [./x_disp]
    type = NodalValueSampler
    variable = disp_x
    boundary = '1 3 4 5'
    sort_by = x
  [../]
  [./cont_press]
    type = NodalValueSampler
    variable = contact_pressure
    boundary = '3'
    sort_by = x
  [../]
[]

[Outputs]
  file_base = plane1_mu_0_2_pen_out
  print_linear_residuals = true
  perf_graph = true
  [./exodus]
    type = Exodus
    elemental_as_nodal = true
  [../]
  [./console]
    type = Console
    max_rows = 5
  [../]
  [./chkfile]
    type = CSV
    file_base = plane1_mu_0_2_pen_check
    show = 'bot_react_x bot_react_y disp_x2 disp_y2 disp_x7 disp_y7 sigma_yy sigma_zz top_react_x top_react_y x_disp cont_press'
    execute_vector_postprocessors_on = timestep_end
  [../]
  [./outfile]
    type = CSV
    delimiter = ' '
    execute_vector_postprocessors_on = none
  [../]
[]

[Contact]
  [./leftright]
    secondary = 3
    primary = 4
    model = coulomb
    formulation = penalty
    normalize_penalty = true
    friction_coefficient = 0.2
    penalty = 1e+9
  [../]
[]

(modules/contact/test/tests/verification/patch_tests/plane_3/plane3_mu_0_2_pen.i)

[GlobalParams]
  order = SECOND
  displacements = 'disp_x disp_y'
[]

[Mesh]
  file = plane3_mesh.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
  [../]
  [./stress_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./penetration]
  [../]
  [./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]
  [../]
[]

[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
  [../]
  [./stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zz
    index_i = 2
    index_j = 2
    execute_on = timestep_end
  [../]
  [./inc_slip_x]
    type = PenetrationAux
    variable = inc_slip_x
    execute_on = timestep_end
    boundary = 3
    paired_boundary = 4
  [../]
  [./inc_slip_y]
    type = PenetrationAux
    variable = inc_slip_y
    execute_on = timestep_end
    boundary = 3
    paired_boundary = 4
  [../]
  [./accum_slip_x]
    type = PenetrationAux
    variable = accum_slip_x
    execute_on = timestep_end
    boundary = 3
    paired_boundary = 4
  [../]
  [./accum_slip_y]
    type = PenetrationAux
    variable = accum_slip_y
    execute_on = timestep_end
    boundary = 3
    paired_boundary = 4
  [../]
  [./penetration]
    type = PenetrationAux
    variable = penetration
    boundary = 3
    paired_boundary = 4
  [../]
  [./tang_force_x]
    type = PenetrationAux
    variable = tang_force_x
    quantity = tangential_force_x
    boundary = 3
    paired_boundary = 4
  [../]
  [./tang_force_y]
    type = PenetrationAux
    variable = tang_force_y
    quantity = tangential_force_y
    boundary = 3
    paired_boundary = 4
  [../]
[]

[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
  [../]
  [./sigma_yy]
    type = ElementAverageValue
    variable = stress_yy
  [../]
  [./sigma_zz]
    type = ElementAverageValue
    variable = stress_zz
  [../]
  [./disp_x2]
    type = NodalVariableValue
    nodeid = 1
    variable = disp_x
  [../]
  [./disp_x11]
    type = NodalVariableValue
    nodeid = 10
    variable = disp_x
  [../]
  [./disp_y2]
    type = NodalVariableValue
    nodeid = 1
    variable = disp_y
  [../]
  [./disp_y11]
    type = NodalVariableValue
    nodeid = 10
    variable = disp_y
  [../]
  [./_dt]
    type = TimestepSize
  [../]
  [./num_lin_it]
    type = NumLinearIterations
  [../]
  [./num_nonlin_it]
    type = NumNonlinearIterations
  [../]
[]

[BCs]
  [./bot_y]
    type = DirichletBC
    variable = disp_y
    boundary = 1
    value = 0.0
  [../]
  [./side_x]
    type = DirichletBC
    variable = disp_x
    boundary = 2
    value = 0.0
  [../]
  [./top_press]
    type = Pressure
    variable = disp_y
    boundary = 5
    factor = 109.89
  [../]
[]

[Materials]
  [./bot_elas_tens]
    type = ComputeIsotropicElasticityTensor
    block = '1'
    youngs_modulus = 1e6
    poissons_ratio = 0.3
  [../]
  [./bot_strain]
    type = ComputeIncrementalStrain
    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 = ComputeIncrementalStrain
    block = '2'
  [../]
  [./top_stress]
    type = ComputeFiniteStrainElasticStress
    block = '2'
  [../]
[]

[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-10
  nl_rel_tol = 1e-7
  l_max_its = 100
  nl_max_its = 200
  dt = 1.0
  end_time = 1.0
  num_steps = 10
  dtmin = 1.0
  l_tol = 1e-3
[]

[VectorPostprocessors]
  [./x_disp]
    type = NodalValueSampler
    variable = disp_x
    boundary = '1 3 4 5'
    sort_by = x
  [../]
  [./cont_press]
    type = NodalValueSampler
    variable = contact_pressure
    boundary = '3'
    sort_by = x
  [../]
[]

[Outputs]
  file_base = plane3_mu_0_2_pen_out
  print_linear_residuals = true
  perf_graph = true
  [./exodus]
    type = Exodus
    elemental_as_nodal = true
  [../]
  [./console]
    type = Console
    max_rows = 5
  [../]
  [./chkfile]
    type = CSV
    file_base = plane3_mu_0_2_pen_check
    show = 'bot_react_x bot_react_y disp_x2 disp_y2 disp_x11 disp_y11 sigma_yy sigma_zz top_react_x top_react_y x_disp cont_press'
    execute_vector_postprocessors_on = timestep_end
  [../]
  [./outfile]
    type = CSV
    delimiter = ' '
    execute_vector_postprocessors_on = none
  [../]
[]

[Contact]
  [./leftright]
    secondary = 3
    primary = 4
    model = coulomb
    formulation = penalty
    normalize_penalty = true
    friction_coefficient = 0.2
    penalty = 1e+9
  [../]
[]

(modules/contact/test/tests/verification/patch_tests/brick_3/brick3_template1.i)

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

[Mesh]
  file = brick3_mesh.e
[]

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

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

[AuxVariables]
  [./stress_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./penetration]
  [../]
  [./saved_x]
  [../]
  [./saved_y]
  [../]
  [./saved_z]
  [../]
  [./diag_saved_x]
  [../]
  [./diag_saved_y]
  [../]
  [./diag_saved_z]
  [../]
  [./inc_slip_x]
  [../]
  [./inc_slip_y]
  [../]
  [./inc_slip_z]
  [../]
  [./accum_slip_x]
  [../]
  [./accum_slip_y]
  [../]
  [./accum_slip_z]
  [../]
[]

[Kernels]
  [./TensorMechanics]
    use_displaced_mesh = true
    save_in = 'saved_x saved_y saved_z'
    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
  [../]
  [./stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zz
    index_i = 2
    index_j = 2
    execute_on = timestep_end
  [../]
  [./inc_slip_x]
    type = PenetrationAux
    variable = inc_slip_x
    execute_on = timestep_begin
    boundary = 4
    paired_boundary = 3
  [../]
  [./inc_slip_y]
    type = PenetrationAux
    variable = inc_slip_y
    execute_on = timestep_begin
    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
  [../]
[]

[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
  [../]
  [./sigma_yy]
    type = ElementAverageValue
    variable = stress_yy
  [../]
  [./sigma_zz]
    type = ElementAverageValue
    variable = stress_zz
  [../]
  [./disp_x28]
    type = NodalVariableValue
    nodeid = 27
    variable = disp_x
  [../]
  [./disp_x33]
    type = NodalVariableValue
    nodeid = 32
    variable = disp_x
  [../]
  [./disp_y28]
    type = NodalVariableValue
    nodeid = 27
    variable = disp_y
  [../]
  [./disp_y33]
    type = NodalVariableValue
    nodeid = 32
    variable = disp_y
  [../]
  [./_dt]
    type = TimestepSize
  [../]
  [./num_lin_it]
    type = NumLinearIterations
  [../]
  [./num_nonlin_it]
    type = NumNonlinearIterations
  [../]
[]

[BCs]
  [./bot_y]
    type = DirichletBC
    variable = disp_y
    boundary = 1
    value = 0.0
  [../]
  [./side_x]
    type = DirichletBC
    variable = disp_x
    boundary = 2
    value = 0.0
  [../]
  [./back_z]
    type = DirichletBC
    variable = disp_z
    boundary = 6
    value = 0.0
  [../]
  [./top_press]
    type = Pressure
    variable = disp_y
    boundary = 5
    factor = 109.89
  [../]
[]

[Materials]
  [./bot_elas_tens]
    type = ComputeIsotropicElasticityTensor
    block = '1'
    youngs_modulus = 1e6
    poissons_ratio = 0.3
  [../]
  [./bot_strain]
    type = ComputeFiniteStrain
    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 = ComputeFiniteStrain
    block = '2'
  [../]
  [./top_stress]
    type = ComputeFiniteStrainElasticStress
    block = '2'
  [../]
[]

[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-9
  nl_rel_tol = 1e-8
  l_max_its = 50
  nl_max_its = 100
  dt = 1.0
  end_time = 1.0
  num_steps = 10
  dtmin = 1.0
  l_tol = 1e-5
[]

[VectorPostprocessors]
  [./x_disp]
    type = NodalValueSampler
    variable = disp_x
    boundary = '1 3 4 5'
    sort_by = id
  [../]
  [./y_disp]
    type = NodalValueSampler
    variable = disp_y
    boundary = '1 3 4 5'
    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 = 'bot_react_x bot_react_y disp_x28 disp_y28 disp_x33 disp_y33 stress_yy stress_zz top_react_x top_react_y x_disp y_disp cont_press'
    execute_vector_postprocessors_on = timestep_end
  [../]
  [./outfile]
    type = CSV
    delimiter = ' '
    execute_vector_postprocessors_on = none
  [../]
[]

[Contact]
  [./leftright]
    secondary = 3
    primary = 4
    normalize_penalty = true
    tangential_tolerance = 1e-3
    penalty = 1e+9
  [../]
[]

(modules/contact/test/tests/verification/patch_tests/brick_2/brick2_template2.i)

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

[Mesh]
  file = brick2_mesh.e
[]

[Problem]
  type = AugmentedLagrangianContactProblem
  maximum_lagrangian_update_iterations = 200
  extra_tag_vectors = 'ref'
  reference_vector = 'ref'
[]

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

[AuxVariables]
  [./stress_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./penetration]
  [../]
  [./saved_x]
  [../]
  [./saved_y]
  [../]
  [./saved_z]
  [../]
  [./diag_saved_x]
  [../]
  [./diag_saved_y]
  [../]
  [./diag_saved_z]
  [../]
  [./inc_slip_x]
  [../]
  [./inc_slip_y]
  [../]
  [./inc_slip_z]
  [../]
  [./accum_slip_x]
  [../]
  [./accum_slip_y]
  [../]
  [./accum_slip_z]
  [../]
[]

[Kernels]
  [./TensorMechanics]
    use_displaced_mesh = true
    save_in = 'saved_x saved_y saved_z'
    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
  [../]
  [./stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zz
    index_i = 2
    index_j = 2
    execute_on = timestep_end
  [../]
  [./inc_slip_x]
    type = PenetrationAux
    variable = inc_slip_x
    execute_on = timestep_begin
    boundary = 4
    paired_boundary = 3
  [../]
  [./inc_slip_y]
    type = PenetrationAux
    variable = inc_slip_y
    execute_on = timestep_begin
    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
  [../]
[]

[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
  [../]
  [./sigma_yy]
    type = ElementAverageValue
    variable = stress_yy
  [../]
  [./sigma_zz]
    type = ElementAverageValue
    variable = stress_zz
  [../]
  [./disp_x7]
    type = NodalVariableValue
    nodeid = 6
    variable = disp_x
  [../]
  [./disp_x26]
    type = NodalVariableValue
    nodeid = 25
    variable = disp_x
  [../]
  [./disp_y7]
    type = NodalVariableValue
    nodeid = 6
    variable = disp_y
  [../]
  [./disp_y26]
    type = NodalVariableValue
    nodeid = 25
    variable = disp_y
  [../]
  [./_dt]
    type = TimestepSize
  [../]
  [./num_lin_it]
    type = NumLinearIterations
  [../]
  [./num_nonlin_it]
    type = NumNonlinearIterations
  [../]
[]

[BCs]
  [./bot_y]
    type = DirichletBC
    variable = disp_y
    boundary = 1
    value = 0.0
  [../]
  [./side_x]
    type = DirichletBC
    variable = disp_x
    boundary = 2
    value = 0.0
  [../]
  [./back_z]
    type = DirichletBC
    variable = disp_z
    boundary = 6
    value = 0.0
  [../]
  [./top_press]
    type = Pressure
    variable = disp_y
    boundary = 5
    factor = 109.89
  [../]
[]

[Materials]
  [./bot_elas_tens]
    type = ComputeIsotropicElasticityTensor
    block = '1'
    youngs_modulus = 1e6
    poissons_ratio = 0.3
  [../]
  [./bot_strain]
    type = ComputeFiniteStrain
    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 = ComputeFiniteStrain
    block = '2'
  [../]
  [./top_stress]
    type = ComputeFiniteStrainElasticStress
    block = '2'
  [../]
[]

[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-9
  nl_rel_tol = 1e-8
  l_max_its = 50
  nl_max_its = 100
  dt = 1.0
  end_time = 1.0
  num_steps = 10
  dtmin = 1.0
  l_tol = 1e-5

[]

[VectorPostprocessors]
  [./x_disp]
    type = NodalValueSampler
    variable = disp_x
    boundary = '1 3 4 5'
    sort_by = id
  [../]
  [./y_disp]
    type = NodalValueSampler
    variable = disp_y
    boundary = '1 3 4 5'
    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 = 'bot_react_x bot_react_y disp_x7 disp_y7 disp_x26 disp_y26 stress_yy stress_zz top_react_x top_react_y x_disp y_disp cont_press'
    execute_vector_postprocessors_on = timestep_end
  [../]
  [./outfile]
    type = CSV
    delimiter = ' '
    execute_vector_postprocessors_on = none
  [../]
[]

[Contact]
  [./leftright]
    secondary = 3
    primary = 4
    normalize_penalty = true
    tangential_tolerance = 1e-3
    penalty = 1e+7
    al_penetration_tolerance = 1e-8
  [../]
[]

(modules/contact/test/tests/verification/patch_tests/cyl_4/cyl4_template2.i)

[GlobalParams]
  order = SECOND
  displacements = 'disp_x disp_y'
[]

[Mesh]
  file = cyl4_mesh.e
[]

[Problem]
  type = AugmentedLagrangianContactProblem
  maximum_lagrangian_update_iterations = 200
  coord_type = RZ
[]

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

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

[Kernels]
  [./TensorMechanics]
    use_displaced_mesh = true
    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
  [../]
  [./stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zz
    index_i = 2
    index_j = 2
    execute_on = timestep_end
  [../]
  [./inc_slip_x]
    type = PenetrationAux
    variable = inc_slip_x
    execute_on = timestep_end
    boundary = 3
    paired_boundary = 4
  [../]
  [./inc_slip_y]
    type = PenetrationAux
    variable = inc_slip_y
    execute_on = timestep_end
    boundary = 3
    paired_boundary = 4
  [../]
  [./accum_slip_x]
    type = PenetrationAux
    variable = accum_slip_x
    execute_on = timestep_end
    boundary = 3
    paired_boundary = 4
  [../]
  [./accum_slip_y]
    type = PenetrationAux
    variable = accum_slip_y
    execute_on = timestep_end
    boundary = 3
    paired_boundary = 4
  [../]
  [./penetration]
    type = PenetrationAux
    variable = penetration
    boundary = 3
    paired_boundary = 4
  [../]
  [./tang_force_x]
    type = PenetrationAux
    variable = tang_force_x
    quantity = tangential_force_x
    boundary = 3
    paired_boundary = 4
  [../]
  [./tang_force_y]
    type = PenetrationAux
    variable = tang_force_y
    quantity = tangential_force_y
    boundary = 3
    paired_boundary = 4
  [../]
[] # AuxKernels

[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
  [../]
  [./stress_yy]
    type = ElementAverageValue
    variable = stress_yy
  [../]
  [./stress_zz]
    type = ElementAverageValue
    variable = stress_zz
  [../]
  [./disp_x16]
    type = NodalVariableValue
    nodeid = 15
    variable = disp_x
  [../]
  [./disp_x9]
    type = NodalVariableValue
    nodeid = 8
    variable = disp_x
  [../]
  [./disp_y16]
    type = NodalVariableValue
    nodeid = 15
    variable = disp_y
  [../]
  [./disp_y9]
    type = NodalVariableValue
    nodeid = 8
    variable = disp_y
  [../]
  [./_dt]
    type = TimestepSize
  [../]
  [./num_lin_it]
    type = NumLinearIterations
  [../]
  [./num_nonlin_it]
    type = NumNonlinearIterations
  [../]
[]

[BCs]
  [./bot_y]
    type = DirichletBC
    variable = disp_y
    boundary = 1
    value = 0.0
  [../]
  [./side_x]
    type = DirichletBC
    variable = disp_x
    boundary = 2
    value = 0.0
  [../]
  [./top_press]
    type = Pressure
    variable = disp_y
    boundary = 5
    factor = 109.89
  [../]
[]

[Materials]
  [./bot_elas_tens]
    type = ComputeIsotropicElasticityTensor
    block = '1'
    youngs_modulus = 1e6
    poissons_ratio = 0.3
  [../]
  [./bot_strain]
    type = ComputeAxisymmetricRZIncrementalStrain
    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 = ComputeAxisymmetricRZIncrementalStrain
    block = '2'
  [../]
  [./top_stress]
    type = ComputeFiniteStrainElasticStress
    block = '2'
  [../]
[]

[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 = 1000
  dt = 1.0
  end_time = 1.0
  num_steps = 10
  dtmin = 1.0
  l_tol = 1e-4
[]

[VectorPostprocessors]
  [./x_disp]
    type = NodalValueSampler
    variable = disp_x
    boundary = '1 3 4 5'
    sort_by = x
  [../]
  [./cont_press]
    type = NodalValueSampler
    variable = contact_pressure
    boundary = '3'
    sort_by = x
  [../]
[]

[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_x9 disp_y9 disp_x16 disp_y16 stress_yy stress_zz top_react_x top_react_y x_disp cont_press'
    execute_vector_postprocessors_on = timestep_end
  [../]
  [./outfile]
    type = CSV
    delimiter = ' '
    execute_vector_postprocessors_on = none
  [../]
[]

[Contact]
  [./leftright]
    secondary = 3
    primary = 4
    tangential_tolerance = 1e-3
    penalty = 1e+9
    al_penetration_tolerance = 1e-8
  [../]
[]

(modules/contact/test/tests/verification/patch_tests/ring_3/ring3_mu_0_2_pen.i)

[GlobalParams]
  order = SECOND
  displacements = 'disp_x disp_y'
[]

[Mesh]
  file = ring3_mesh.e
[]

[Problem]
  type = FEProblem
  coord_type = RZ
[]

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

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

[Kernels]
  [./TensorMechanics]
    use_displaced_mesh = true
    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
  [../]
  [./stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zz
    index_i = 2
    index_j = 2
    execute_on = timestep_end
  [../]
  [./inc_slip_x]
    type = PenetrationAux
    variable = inc_slip_x
    execute_on = timestep_end
    boundary = 3
    paired_boundary = 4
  [../]
  [./inc_slip_y]
    type = PenetrationAux
    variable = inc_slip_y
    execute_on = timestep_end
    boundary = 3
    paired_boundary = 4
  [../]
  [./accum_slip_x]
    type = PenetrationAux
    variable = accum_slip_x
    execute_on = timestep_end
    boundary = 3
    paired_boundary = 4
  [../]
  [./accum_slip_y]
    type = PenetrationAux
    variable = accum_slip_y
    execute_on = timestep_end
    boundary = 3
    paired_boundary = 4
  [../]
  [./penetration]
    type = PenetrationAux
    variable = penetration
    boundary = 3
    paired_boundary = 4
  [../]
  [./tang_force_x]
    type = PenetrationAux
    variable = tang_force_x
    quantity = tangential_force_x
    boundary = 3
    paired_boundary = 4
  [../]
  [./tang_force_y]
    type = PenetrationAux
    variable = tang_force_y
    quantity = tangential_force_y
    boundary = 3
    paired_boundary = 4
  [../]
[] # AuxKernels

[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
  [../]
  [./sigma_yy]
    type = ElementAverageValue
    variable = stress_yy
  [../]
  [./sigma_zz]
    type = ElementAverageValue
    variable = stress_zz
  [../]
  [./disp_x2]
    type = NodalVariableValue
    nodeid = 1
    variable = disp_x
  [../]
  [./disp_x11]
    type = NodalVariableValue
    nodeid = 10
    variable = disp_x
  [../]
  [./disp_y2]
    type = NodalVariableValue
    nodeid = 1
    variable = disp_y
  [../]
  [./disp_y11]
    type = NodalVariableValue
    nodeid = 10
    variable = disp_y
  [../]
  [./_dt]
    type = TimestepSize
  [../]
  [./num_lin_it]
    type = NumLinearIterations
  [../]
  [./num_nonlin_it]
    type = NumNonlinearIterations
  [../]
[]

[BCs]
  [./bot_y]
    type = DirichletBC
    variable = disp_y
    boundary = 1
    value = 0.0
  [../]
  [./top_press]
    type = Pressure
    variable = disp_y
    boundary = 5
    factor = 109.89
  [../]
[]

[Materials]
  [./bot_elas_tens]
    type = ComputeIsotropicElasticityTensor
    block = '1'
    youngs_modulus = 1e6
    poissons_ratio = 0.3
  [../]
  [./bot_strain]
    type = ComputeAxisymmetricRZIncrementalStrain
    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 = ComputeAxisymmetricRZIncrementalStrain
    block = '2'
  [../]
  [./top_stress]
    type = ComputeFiniteStrainElasticStress
    block = '2'
  [../]
[]

[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-10
  nl_rel_tol = 1e-9
  l_max_its = 100
  nl_max_its = 1000
  dt = 1.0
  end_time = 1.0
  num_steps = 10
  dtmin = 1.0
  l_tol = 1e-5
[]

[VectorPostprocessors]
  [./x_disp]
    type = NodalValueSampler
    variable = disp_x
    boundary = '1 3 4 5'
    sort_by = x
  [../]
  [./cont_press]
    type = NodalValueSampler
    variable = contact_pressure
    boundary = '3'
    sort_by = x
  [../]
[]

[Outputs]
  file_base = ring3_mu_0_2_pen_out
  print_linear_residuals = true
  perf_graph = true
  [./exodus]
    type = Exodus
    elemental_as_nodal = true
  [../]
  [./console]
    type = Console
    max_rows = 5
  [../]
  [./chkfile]
    type = CSV
    file_base = ring3_mu_0_2_pen_check
    show = 'bot_react_x bot_react_y disp_x2 disp_y2 disp_x11 disp_y11 sigma_yy sigma_zz top_react_x top_react_y x_disp cont_press'
    execute_vector_postprocessors_on = timestep_end
  [../]
  [./outfile]
    type = CSV
    delimiter = ' '
    execute_vector_postprocessors_on = none
  [../]
[]

[Contact]
  [./leftright]
    secondary = 3
    primary = 4
    model = coulomb
    formulation = penalty
    normalize_penalty = true
    tangential_tolerance = 1e-3
    friction_coefficient = 0.2
    penalty = 1e+9
  [../]
[]

(test/tests/tag/old_eigen_tag.i)

[Mesh/gmg]
  type = GeneratedMeshGenerator
  dim = 2
  nx = 5
  ny = 5
[]

[Variables]
  [u]
  []
  [v]
  []
[]

[AuxVariables]
  [u_vec_tag_diff]
  []
  [u_vec_tag_rhs]
  []
  [u_mat_tag_diff]
  []
  [u_mat_tag_rhs]
  []
  [u_mat_savein_rhs]
  []

  [v_vec_tag_diff]
  []
  [v_vec_tag_rhs]
  []
  [v_mat_tag_diff]
  []
  [v_mat_tag_rhs]
  []
[]


[Kernels]
  [diff_u]
    type = Diffusion
    variable = u
    extra_vector_tags = 'tag_diff'
    extra_matrix_tags = 'tag_diff'
  []
  [rhs_u]
    type = MassEigenKernel
    variable = u
    extra_vector_tags = 'tag_rhs'
    extra_matrix_tags = 'tag_rhs'
    diag_save_in = 'u_mat_savein_rhs'
  []

  [diff_v]
    type = Diffusion
    variable = v
    extra_vector_tags = 'tag_diff'
    extra_matrix_tags = 'tag_diff'
  []
  [rhs_v]
    type = MassEigenKernel
    variable = v
    extra_vector_tags = 'tag_rhs'
    extra_matrix_tags = 'tag_rhs'
  []

  [rhs_uv]
    type = CoupledEigenKernel
    variable = u
    v = v
    extra_vector_tags = 'tag_rhs'
    extra_matrix_tags = 'tag_rhs'
  []
  [rhs_vu]
    type = CoupledEigenKernel
    variable = v
    v = u
    extra_vector_tags = 'tag_rhs'
    extra_matrix_tags = 'tag_rhs'
  []
[]

[AuxKernels]
  [u_vec_tag_diff]
    type = TagVectorAux
    variable = u_vec_tag_diff
    v = u
    vector_tag = tag_diff
  []
  [u_vec_tag_rhs]
    type = TagVectorAux
    variable = u_vec_tag_rhs
    v = u
    vector_tag = tag_rhs
  []
  [u_mat_tag_diff]
    type = TagVectorAux
    variable = u_mat_tag_diff
    v = u
    vector_tag = tag_diff
  []
  [u_mat_tag_rhs]
    type = TagVectorAux
    variable = u_mat_tag_diff
    v = u
    vector_tag = tag_rhs
  []

  [v_vec_tag_diff]
    type = TagVectorAux
    variable = v_vec_tag_diff
    v = v
    vector_tag = tag_diff
  []
  [v_vec_tag_rhs]
    type = TagVectorAux
    variable = v_vec_tag_rhs
    v = v
    vector_tag = tag_rhs
  []
  [v_mat_tag_diff]
    type = TagVectorAux
    variable = v_mat_tag_diff
    v = v
    vector_tag = tag_diff
  []
  [v_mat_tag_rhs]
    type = TagVectorAux
    variable = v_mat_tag_diff
    v = v
    vector_tag = tag_rhs
  []
[]

[BCs]
  [homogeneous_u]
    type = DirichletBC
    boundary = 'top right bottom left'
    variable = u
    value = 0
  []
  [homogeneous_v]
    type = DirichletBC
    boundary = 'top right bottom left'
    variable = v
    value = 0
  []
[]

[Problem]
  extra_tag_vectors = 'tag_diff tag_rhs'
  extra_tag_matrices = 'tag_diff tag_rhs'
[]

[Postprocessors]
  [unorm]
    type = NodalL2Norm
    variable = u
    execute_on = linear
  []
  [vnorm]
    type = NodalL2Norm
    variable = v
    execute_on = linear
  []
  [uvnorm]
    type = ParsedPostprocessor
    expression = 'sqrt(unorm*unorm + vnorm*vnorm)'
    pp_names = 'unorm vnorm'
    execute_on = linear
  []
[]

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

[Executioner]
  type = NonlinearEigen
  bx_norm = uvnorm
  free_l_tol = 1e-8
  nl_abs_tol = 1e-12
[]

[Outputs]
  exodus = true
[]

(modules/contact/test/tests/verification/patch_tests/brick_4/brick4_mu_0_2_pen.i)

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

[Mesh]
  file = brick4_mesh.e
[]

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

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

[AuxVariables]
  [./stress_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./penetration]
  [../]
  [./saved_x]
  [../]
  [./saved_y]
  [../]
  [./saved_z]
  [../]
  [./diag_saved_x]
  [../]
  [./diag_saved_y]
  [../]
  [./diag_saved_z]
  [../]
  [./inc_slip_x]
  [../]
  [./inc_slip_y]
  [../]
  [./inc_slip_z]
  [../]
  [./accum_slip_x]
  [../]
  [./accum_slip_y]
  [../]
  [./accum_slip_z]
  [../]
  [./tang_force_x]
  [../]
  [./tang_force_y]
  [../]
  [./tang_force_z]
  [../]
[]

[Kernels]
  [./TensorMechanics]
    use_displaced_mesh = true
    save_in = 'saved_x saved_y saved_z'
    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
  [../]
  [./stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zz
    index_i = 2
    index_j = 2
    execute_on = timestep_end
  [../]
  [./inc_slip_x]
    type = PenetrationAux
    variable = inc_slip_x
    execute_on = timestep_end
    boundary = 3
    paired_boundary = 4
  [../]
  [./inc_slip_y]
    type = PenetrationAux
    variable = inc_slip_y
    execute_on = timestep_end
    boundary = 3
    paired_boundary = 4
  [../]
  [./accum_slip_x]
    type = PenetrationAux
    variable = accum_slip_x
    execute_on = timestep_end
    boundary = 3
    paired_boundary = 4
  [../]
  [./accum_slip_y]
    type = PenetrationAux
    variable = accum_slip_y
    execute_on = timestep_end
    boundary = 3
    paired_boundary = 4
  [../]
  [./penetration]
    type = PenetrationAux
    variable = penetration
    boundary = 3
    paired_boundary = 4
  [../]
  [./tang_force_x]
    type = PenetrationAux
    variable = tang_force_x
    quantity = tangential_force_x
    boundary = 3
    paired_boundary = 4
  [../]
  [./tang_force_y]
    type = PenetrationAux
    variable = tang_force_y
    quantity = tangential_force_y
    boundary = 3
    paired_boundary = 4
  [../]
[]

[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
  [../]
  [./sigma_yy]
    type = ElementAverageValue
    variable = stress_yy
  [../]
  [./sigma_zz]
    type = ElementAverageValue
    variable = stress_zz
  [../]
  [./disp_x59]
    type = NodalVariableValue
    nodeid = 58
    variable = disp_x
  [../]
  [./disp_x64]
    type = NodalVariableValue
    nodeid = 63
    variable = disp_x
  [../]
  [./disp_y59]
    type = NodalVariableValue
    nodeid = 58
    variable = disp_y
  [../]
  [./disp_y64]
    type = NodalVariableValue
    nodeid = 63
    variable = disp_y
  [../]
  [./_dt]
    type = TimestepSize
  [../]
  [./num_lin_it]
    type = NumLinearIterations
  [../]
  [./num_nonlin_it]
    type = NumNonlinearIterations
  [../]
[]

[BCs]
  [./bot_y]
    type = DirichletBC
    variable = disp_y
    boundary = 1
    value = 0.0
  [../]
  [./side_x]
    type = DirichletBC
    variable = disp_x
    boundary = 2
    value = 0.0
  [../]
  [./back_z]
    type = DirichletBC
    variable = disp_z
    boundary = 6
    value = 0.0
  [../]
  [./top_press]
    type = Pressure
    variable = disp_y
    boundary = 5
    factor = 109.89
  [../]
[]

[Materials]
  [./bot_elas_tens]
    type = ComputeIsotropicElasticityTensor
    block = '1'
    youngs_modulus = 1e6
    poissons_ratio = 0.3
  [../]
  [./bot_strain]
    type = ComputeFiniteStrain
    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 = ComputeFiniteStrain
    block = '2'
  [../]
  [./top_stress]
    type = ComputeFiniteStrainElasticStress
    block = '2'
  [../]
[]

[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
  dt = 1.0
  end_time = 1.0
  num_steps = 10
  dtmin = 1.0
  l_tol = 1e-4
[]

[VectorPostprocessors]
  [./x_disp]
    type = NodalValueSampler
    variable = disp_x
    boundary = '1 3 4 5'
    sort_by = id
  [../]
  [./y_disp]
    type = NodalValueSampler
    variable = disp_y
    boundary = '1 3 4 5'
    sort_by = id
  [../]
  [./cont_press]
    type = NodalValueSampler
    variable = contact_pressure
    boundary = '3'
    sort_by = id
  [../]
[]

[Outputs]
  file_base = brick4_mu_0_2_pen_out
  print_linear_residuals = true
  perf_graph = true
  [./exodus]
    type = Exodus
    elemental_as_nodal = true
  [../]
  [./console]
    type = Console
    max_rows = 5
  [../]
  [./chkfile]
    type = CSV
    file_base = brick4_mu_0_2_pen_check
    show = 'bot_react_x bot_react_y disp_x59 disp_y59 disp_x64 disp_y64 stress_yy stress_zz top_react_x top_react_y x_disp y_disp cont_press'
    execute_vector_postprocessors_on = timestep_end
  [../]
  [./outfile]
    type = CSV
    delimiter = ' '
    execute_vector_postprocessors_on = none
  [../]
[]

[Contact]
  [./leftright]
    secondary = 3
    primary = 4
    model = coulomb
    formulation = penalty
    normalize_penalty = true
    friction_coefficient = 0.2
    penalty = 1e+6
  [../]
[]

(modules/contact/test/tests/verification/patch_tests/ring_2/ring2_mu_0_2_pen.i)

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

[Mesh]
  file = ring2_mesh.e
[]

[Problem]
  type = FEProblem
  coord_type = RZ
[]

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

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

[Kernels]
  [./TensorMechanics]
    use_displaced_mesh = true
    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
  [../]
  [./stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zz
    index_i = 2
    index_j = 2
    execute_on = timestep_end
  [../]
  [./inc_slip_x]
    type = PenetrationAux
    variable = inc_slip_x
    execute_on = timestep_end
    boundary = 3
    paired_boundary = 4
  [../]
  [./inc_slip_y]
    type = PenetrationAux
    variable = inc_slip_y
    execute_on = timestep_end
    boundary = 3
    paired_boundary = 4
  [../]
  [./accum_slip_x]
    type = PenetrationAux
    variable = accum_slip_x
    execute_on = timestep_end
    boundary = 3
    paired_boundary = 4
  [../]
  [./accum_slip_y]
    type = PenetrationAux
    variable = accum_slip_y
    execute_on = timestep_end
    boundary = 3
    paired_boundary = 4
  [../]
  [./penetration]
    type = PenetrationAux
    variable = penetration
    boundary = 3
    paired_boundary = 4
  [../]
  [./tang_force_x]
    type = PenetrationAux
    variable = tang_force_x
    quantity = tangential_force_x
    boundary = 3
    paired_boundary = 4
  [../]
  [./tang_force_y]
    type = PenetrationAux
    variable = tang_force_y
    quantity = tangential_force_y
    boundary = 3
    paired_boundary = 4
  [../]
[] # AuxKernels

[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
  [../]
  [./sigma_yy]
    type = ElementAverageValue
    variable = stress_yy
  [../]
  [./sigma_zz]
    type = ElementAverageValue
    variable = stress_zz
  [../]
  [./disp_x5]
    type = NodalVariableValue
    nodeid = 4
    variable = disp_x
  [../]
  [./disp_x9]
    type = NodalVariableValue
    nodeid = 8
    variable = disp_x
  [../]
  [./disp_y5]
    type = NodalVariableValue
    nodeid = 4
    variable = disp_y
  [../]
  [./disp_y9]
    type = NodalVariableValue
    nodeid = 8
    variable = disp_y
  [../]
  [./_dt]
    type = TimestepSize
  [../]
  [./num_lin_it]
    type = NumLinearIterations
  [../]
  [./num_nonlin_it]
    type = NumNonlinearIterations
  [../]
[]

[BCs]
  [./bot_y]
    type = DirichletBC
    variable = disp_y
    boundary = 1
    value = 0.0
  [../]
  [./top_press]
    type = Pressure
    variable = disp_y
    boundary = 5
    factor = 109.89
  [../]
[]

[Materials]
  [./bot_elas_tens]
    type = ComputeIsotropicElasticityTensor
    block = '1'
    youngs_modulus = 1e6
    poissons_ratio = 0.3
  [../]
  [./bot_strain]
    type = ComputeAxisymmetricRZIncrementalStrain
    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 = ComputeAxisymmetricRZIncrementalStrain
    block = '2'
  [../]
  [./top_stress]
    type = ComputeFiniteStrainElasticStress
    block = '2'
  [../]
[]

[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-10
  nl_rel_tol = 1e-8
  l_max_its = 50
  nl_max_its = 100
  dt = 1.0
  end_time = 1.0
  num_steps = 10
  dtmin = 1.0
  l_tol = 1e-5
[]

[VectorPostprocessors]
  [./x_disp]
    type = NodalValueSampler
    variable = disp_x
    boundary = '1 3 4 5'
    sort_by = x
  [../]
  [./cont_press]
    type = NodalValueSampler
    variable = contact_pressure
    boundary = '3'
    sort_by = x
  [../]
[]

[Outputs]
  file_base = ring2_mu_0_2_pen_out
  print_linear_residuals = true
  perf_graph = true
  [./exodus]
    type = Exodus
    elemental_as_nodal = true
  [../]
  [./console]
    type = Console
    max_rows = 5
  [../]
  [./chkfile]
    type = CSV
    file_base = ring2_mu_0_2_pen_check
    show = 'bot_react_x bot_react_y disp_x5 disp_y5 disp_x9 disp_y9 sigma_yy sigma_zz top_react_x top_react_y x_disp cont_press'
    execute_vector_postprocessors_on = timestep_end
  [../]
  [./outfile]
    type = CSV
    delimiter = ' '
    execute_vector_postprocessors_on = none
  [../]
[]

[Contact]
  [./leftright]
    secondary = 3
    primary = 4
    model = coulomb
    formulation = penalty
    normalize_penalty = true
    friction_coefficient = 0.2
    tangential_tolerance = 1e-3
    penalty = 1e+9
  [../]
[]

(modules/contact/test/tests/verification/overclosure_removal/overclosure.i)

# ---------------------------------------------------------------------------------------------------------
# REGRESSION TEST FOR OVERCLOSURE REMOVAL
# =======================================
# THIS TEST DEMONSTRATES THAT THE CODE IS CAPABLE OF REMOVING A SIZEABLE OVERCLOSURE IN A SINGLE TIME-STEP
# --------------------------------------------------------------------------------------------------------


[Mesh]
  file = oc_mesh.e
[]

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

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

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

[AuxVariables]
  [./penetration]
    order = FIRST
    family = LAGRANGE
  [../]
  [./saved_x]
  [../]
  [./saved_y]
  [../]
[]

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

[AuxKernels]
  [./penetration]
    type = PenetrationAux
    variable = penetration
    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
  [../]
  [./_dt]
    type = TimestepSize
  [../]
[]

[BCs]
  [./bot_y]
    type = DirichletBC
    variable = disp_y
    boundary = 1
    value = 0.0
  [../]
  [./side1_x]
    type = DirichletBC
    variable = disp_x
    boundary = 2
    value = 0.0
  [../]
  [./top_y]
    type = DirichletBC
    variable = disp_y
    boundary = 5
    value = 0.0
  [../]
  [./top_x]
    type = DirichletBC
    variable = disp_x
    boundary = 1001    #nodeset 1001 top central node
    value = 0.0
  [../]
[]

[Materials]
  [./bot_elas_tens]
    type = ComputeIsotropicElasticityTensor
    block = '1'
    youngs_modulus = 1e6
    poissons_ratio = 0.3
  [../]
  [./bot_strain]
    type = ComputeFiniteStrain
    decomposition_method = EigenSolution
    block = '1'
  [../]
  [./bot_stress]
    type = ComputeFiniteStrainElasticStress
    block = '1'
  [../]

  [./top_elas_tens]
    type = ComputeIsotropicElasticityTensor
    block = '2'
    youngs_modulus = 1e5
    poissons_ratio = 0.3
  [../]
  [./top_strain]
    type = ComputeFiniteStrain
    decomposition_method = EigenSolution
    block = '2'
  [../]
  [./top_stress]
    type = ComputeFiniteStrainElasticStress
    block = '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'

  nl_abs_tol = 1e-8
  nl_rel_tol = 1e-9
  l_max_its = 100
  nl_max_its = 200
  dt = 1.0
  end_time = 1.0
  dtmin = 1.0
  l_tol = 1e-3

[]

[Outputs]
  print_linear_residuals = true
  perf_graph = true
  [./exodus]
    type = Exodus
    elemental_as_nodal = true
  [../]
  [./console]
    type = Console
    max_rows = 5
  [../]
[]

[Contact]
  [./leftright]
    secondary = 4
    primary = 3
    model = frictionless
    formulation = penalty
    normalize_penalty = true
    tangential_tolerance = 1e-3
    penalty = 1e+9
  [../]
[]

(modules/stochastic_tools/examples/surrogates/pod_rb/2d_multireg/sub.i)

halfa = 10
fulla = 20

[Problem]
  type = FEProblem
  extra_tag_vectors  = 'diff0 diff1 diff2 diff3 abs0 abs1 abs2 abs3 src0 src1 src2'
[]

[Mesh]
  [msh]
    type = CartesianMeshGenerator
    dim = 2
    dx = '10 20 20 20 20 20 20 20 20'
    dy = '10 20 20 20 20 20 20 20 20'
    ix = '${halfa} ${fulla} ${fulla} ${fulla} ${fulla} ${fulla} ${fulla} ${fulla} ${fulla}'
    iy = '${halfa} ${fulla} ${fulla} ${fulla} ${fulla} ${fulla} ${fulla} ${fulla} ${fulla}'
    subdomain_id = '1 0 0 0 1 0 0 2 3
                    0 0 0 0 0 0 0 2 3
                    0 0 1 0 0 0 2 2 3
                    0 0 0 0 0 0 2 3 3
                    1 0 0 0 1 2 2 3 3
                    0 0 0 0 2 2 3 3 3
                    0 0 2 2 2 3 3 3 3
                    2 2 2 3 3 3 3 3 3
                    3 3 3 3 3 3 3 3 3'
  []
[]

[Variables]
  [psi]
  []
[]

[Kernels]
  [diff0]
    type = MatDiffusion
    variable = psi
    diffusivity = D0
    extra_vector_tags = 'diff0'
    block = 0
  []
  [diff1]
    type = MatDiffusion
    variable = psi
    diffusivity = D1
    extra_vector_tags = 'diff1'
    block = 1
  []
  [diff2]
    type = MatDiffusion
    variable = psi
    diffusivity = D2
    extra_vector_tags = 'diff2'
    block = 2
  []
  [diff3]
    type = MatDiffusion
    variable = psi
    diffusivity = D3
    extra_vector_tags = 'diff3'
    block = 3
  []
  [abs0]
    type = MaterialReaction
    variable = psi
    coefficient = absxs0
    extra_vector_tags = 'abs0'
    block = 0
  []
  [abs1]
    type = MaterialReaction
    variable = psi
    coefficient = absxs1
    extra_vector_tags = 'abs1'
    block = 1
  []
  [abs2]
    type = MaterialReaction
    variable = psi
    coefficient = absxs2
    extra_vector_tags = 'abs2'
    block = 2
  []
  [abs3]
    type = MaterialReaction
    variable = psi
    coefficient = absxs3
    extra_vector_tags = 'abs3'
    block = 3
  []
  [src0]
    type = BodyForce
    variable = psi
    value = 1
    extra_vector_tags = 'src0'
    block = 0
  []
  [src1]
    type = BodyForce
    variable = psi
    value = 1
    extra_vector_tags = 'src1'
    block = 1
  []
  [src2]
    type = BodyForce
    variable = psi
    value = 1
    extra_vector_tags = 'src2'
    block = 2
  []
[]

[Materials]
  [D0]
    type = GenericConstantMaterial
    prop_names = D0
    prop_values = 1
    block = 0
  []
  [D1]
    type = GenericConstantMaterial
    prop_names = D1
    prop_values = 1
    block = 1
  []
  [D2]
    type = GenericConstantMaterial
    prop_names = D2
    prop_values = 1
    block = 2
  []
  [D3]
    type = GenericConstantMaterial
    prop_names = D3
    prop_values = 1
    block = 3
  []
  [absxs0]
    type = GenericConstantMaterial
    prop_names = absxs0
    prop_values = 1
    block = 0
  []
  [absxs1]
    type = GenericConstantMaterial
    prop_names = absxs1
    prop_values = 1
    block = 1
  []
  [absxs2]
    type = GenericConstantMaterial
    prop_names = absxs2
    prop_values = 1
    block = 2
  []
  [absxs3]
    type = GenericConstantMaterial
    prop_names = absxs3
    prop_values = 1
    block = 3
  []
[]

[BCs]
  [left]
    type = NeumannBC
    variable = psi
    boundary = left
    value = 0
  []
  [bottom]
    type = NeumannBC
    variable = psi
    boundary = bottom
    value = 0
  []
  [top]
    type = DirichletBC
    variable = psi
    boundary = top
    value = 0
  []
  [right]
    type = DirichletBC
    variable = psi
    boundary = right
    value = 0
  []
[]

[Executioner]
  type = Steady
  solve_type = linear
  petsc_options_iname = '-pc_type -pc_hypre_type'
  petsc_options_value = 'hypre boomeramg'
[]

[Controls]
  [stochastic]
    type = SamplerReceiver
  []
[]

[Postprocessors]
  [nodal_l2]
    type = NodalL2Norm
    variable = psi
  []
[]

[Outputs]
[]

(modules/contact/test/tests/verification/patch_tests/plane_3/plane3_template2.i)

[GlobalParams]
  order = SECOND
  displacements = 'disp_x disp_y'
[]

[Mesh]
  file = plane3_mesh.e
[]

[Problem]
  type = AugmentedLagrangianContactProblem
  extra_tag_vectors = 'ref'
  reference_vector = 'ref'
  maximum_lagrangian_update_iterations = 200
[]

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

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

[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
  [../]
  [./stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zz
    index_i = 2
    index_j = 2
    execute_on = timestep_end
  [../]
  [./zeroslip_x]
    type = ConstantAux
    variable = inc_slip_x
    boundary = 4
    execute_on = timestep_begin
    value = 0.0
  [../]
  [./zeroslip_y]
    type = ConstantAux
    variable = inc_slip_y
    boundary = 4
    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 = 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
  [../]
  [./sigma_yy]
    type = ElementAverageValue
    variable = stress_yy
  [../]
  [./sigma_zz]
    type = ElementAverageValue
    variable = stress_zz
  [../]
  [./disp_x2]
    type = NodalVariableValue
    nodeid = 1
    variable = disp_x
  [../]
  [./disp_x11]
    type = NodalVariableValue
    nodeid = 10
    variable = disp_x
  [../]
  [./disp_y2]
    type = NodalVariableValue
    nodeid = 1
    variable = disp_y
  [../]
  [./disp_y11]
    type = NodalVariableValue
    nodeid = 10
    variable = disp_y
  [../]
  [./_dt]
    type = TimestepSize
  [../]
  [./num_lin_it]
    type = NumLinearIterations
  [../]
  [./num_nonlin_it]
    type = NumNonlinearIterations
  [../]
[]

[BCs]
  [./bot_y]
    type = DirichletBC
    variable = disp_y
    boundary = 1
    value = 0.0
  [../]
  [./side_x]
    type = DirichletBC
    variable = disp_x
    boundary = 2
    value = 0.0
  [../]
  [./top_press]
    type = Pressure
    variable = disp_y
    boundary = 5
    factor = 109.89
  [../]
[]

[Materials]
  [./bot_elas_tens]
    type = ComputeIsotropicElasticityTensor
    block = '1'
    youngs_modulus = 1e6
    poissons_ratio = 0.3
  [../]
  [./bot_strain]
    type = ComputeIncrementalStrain
    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 = ComputeIncrementalStrain
    block = '2'
  [../]
  [./top_stress]
    type = ComputeFiniteStrainElasticStress
    block = '2'
  [../]
[]

[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-10
  nl_rel_tol = 1e-8
  l_max_its = 100
  nl_max_its = 200
  dt = 1.0
  end_time = 1.0
  num_steps = 10
  dtmin = 1.0
  l_tol = 1e-3
[]

[VectorPostprocessors]
  [./x_disp]
    type = NodalValueSampler
    variable = disp_x
    boundary = '1 3 4 5'
    sort_by = x
  [../]
  [./cont_press]
    type = NodalValueSampler
    variable = contact_pressure
    boundary = '3'
    sort_by = x
  [../]
[]

[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_x2 disp_y2 disp_x11 disp_y11 sigma_yy sigma_zz top_react_x top_react_y x_disp cont_press'
    execute_vector_postprocessors_on = timestep_end
  [../]
  [./outfile]
    type = CSV
    delimiter = ' '
    execute_vector_postprocessors_on = none
  [../]
[]

[Contact]
  [./leftright]
    secondary = 3
    primary = 4
    normalize_penalty = true
    tangential_tolerance = 1e-3
    penalty = 1e+9
    al_penetration_tolerance = 1e-8
  [../]
[]

(modules/contact/test/tests/verification/patch_tests/ring_3/ring3_template1.i)

[GlobalParams]
  order = SECOND
  displacements = 'disp_x disp_y'
[]

[Mesh]
  file = ring3_mesh.e
[]

[Problem]
  type = FEProblem
  coord_type = RZ
[]

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

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

[Kernels]
  [./TensorMechanics]
    use_displaced_mesh = true
    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
  [../]
  [./stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zz
    index_i = 2
    index_j = 2
    execute_on = timestep_end
  [../]
  [./inc_slip_x]
    type = PenetrationAux
    variable = inc_slip_x
    execute_on = timestep_end
    boundary = 3
    paired_boundary = 4
  [../]
  [./inc_slip_y]
    type = PenetrationAux
    variable = inc_slip_y
    execute_on = timestep_end
    boundary = 3
    paired_boundary = 4
  [../]
  [./accum_slip_x]
    type = PenetrationAux
    variable = accum_slip_x
    execute_on = timestep_end
    boundary = 3
    paired_boundary = 4
  [../]
  [./accum_slip_y]
    type = PenetrationAux
    variable = accum_slip_y
    execute_on = timestep_end
    boundary = 3
    paired_boundary = 4
  [../]
  [./penetration]
    type = PenetrationAux
    variable = penetration
    boundary = 3
    paired_boundary = 4
  [../]
  [./tang_force_x]
    type = PenetrationAux
    variable = tang_force_x
    quantity = tangential_force_x
    boundary = 3
    paired_boundary = 4
  [../]
  [./tang_force_y]
    type = PenetrationAux
    variable = tang_force_y
    quantity = tangential_force_y
    boundary = 3
    paired_boundary = 4
  [../]
[] # AuxKernels

[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
  [../]
  [./sigma_yy]
    type = ElementAverageValue
    variable = stress_yy
  [../]
  [./sigma_zz]
    type = ElementAverageValue
    variable = stress_zz
  [../]
  [./disp_x2]
    type = NodalVariableValue
    nodeid = 1
    variable = disp_x
  [../]
  [./disp_x11]
    type = NodalVariableValue
    nodeid = 10
    variable = disp_x
  [../]
  [./disp_y2]
    type = NodalVariableValue
    nodeid = 1
    variable = disp_y
  [../]
  [./disp_y11]
    type = NodalVariableValue
    nodeid = 10
    variable = disp_y
  [../]
  [./_dt]
    type = TimestepSize
  [../]
  [./num_lin_it]
    type = NumLinearIterations
  [../]
  [./num_nonlin_it]
    type = NumNonlinearIterations
  [../]
[]

[BCs]
  [./bot_y]
    type = DirichletBC
    variable = disp_y
    boundary = 1
    value = 0.0
  [../]
  [./top_press]
    type = Pressure
    variable = disp_y
    boundary = 5
    factor = 109.89
  [../]
[]

[Materials]
  [./bot_elas_tens]
    type = ComputeIsotropicElasticityTensor
    block = '1'
    youngs_modulus = 1e6
    poissons_ratio = 0.3
  [../]
  [./bot_strain]
    type = ComputeAxisymmetricRZIncrementalStrain
    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 = ComputeAxisymmetricRZIncrementalStrain
    block = '2'
  [../]
  [./top_stress]
    type = ComputeFiniteStrainElasticStress
    block = '2'
  [../]
[]

[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'

  nl_abs_tol = 1e-10
  nl_rel_tol = 1e-9
  l_max_its = 50
  nl_max_its = 100
  dt = 1.0
  end_time = 1.0
  num_steps = 10
  dtmin = 1.0
  l_tol = 1e-5
[]

[VectorPostprocessors]
  [./x_disp]
    type = NodalValueSampler
    variable = disp_x
    boundary = '1 3 4 5'
    sort_by = x
  [../]
  [./cont_press]
    type = NodalValueSampler
    variable = contact_pressure
    boundary = '3'
    sort_by = x
  [../]
[]

[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_x2 disp_y2 disp_x11 disp_y11 sigma_yy sigma_zz top_react_x top_react_y x_disp cont_press'
    execute_vector_postprocessors_on = timestep_end
  [../]
  [./outfile]
    type = CSV
    delimiter = ' '
    execute_vector_postprocessors_on = none
  [../]
[]

[Contact]
  [./leftright]
    secondary = 3
    primary = 4
    normalize_penalty = true
    tangential_tolerance = 1e-3
    penalty = 1e+9
  [../]
[]

(modules/contact/test/tests/verification/patch_tests/ring_2/ring2_template2.i)

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

[Mesh]
  file = ring2_mesh.e
[]

[Problem]
  type = AugmentedLagrangianContactProblem
  maximum_lagrangian_update_iterations = 200
  coord_type = RZ
[]

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

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

[Kernels]
  [./TensorMechanics]
    use_displaced_mesh = true
    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
  [../]
  [./stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zz
    index_i = 2
    index_j = 2
    execute_on = timestep_end
  [../]
  [./inc_slip_x]
    type = PenetrationAux
    variable = inc_slip_x
    execute_on = timestep_end
    boundary = 3
    paired_boundary = 4
  [../]
  [./inc_slip_y]
    type = PenetrationAux
    variable = inc_slip_y
    execute_on = timestep_end
    boundary = 3
    paired_boundary = 4
  [../]
  [./accum_slip_x]
    type = PenetrationAux
    variable = accum_slip_x
    execute_on = timestep_end
    boundary = 3
    paired_boundary = 4
  [../]
  [./accum_slip_y]
    type = PenetrationAux
    variable = accum_slip_y
    execute_on = timestep_end
    boundary = 3
    paired_boundary = 4
  [../]
  [./penetration]
    type = PenetrationAux
    variable = penetration
    boundary = 3
    paired_boundary = 4
  [../]
  [./tang_force_x]
    type = PenetrationAux
    variable = tang_force_x
    quantity = tangential_force_x
    boundary = 3
    paired_boundary = 4
  [../]
  [./tang_force_y]
    type = PenetrationAux
    variable = tang_force_y
    quantity = tangential_force_y
    boundary = 3
    paired_boundary = 4
  [../]
[] # AuxKernels

[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
  [../]
  [./sigma_yy]
    type = ElementAverageValue
    variable = stress_yy
  [../]
  [./sigma_zz]
    type = ElementAverageValue
    variable = stress_zz
  [../]
  [./disp_x5]
    type = NodalVariableValue
    nodeid = 4
    variable = disp_x
  [../]
  [./disp_x9]
    type = NodalVariableValue
    nodeid = 8
    variable = disp_x
  [../]
  [./disp_y5]
    type = NodalVariableValue
    nodeid = 4
    variable = disp_y
  [../]
  [./disp_y9]
    type = NodalVariableValue
    nodeid = 8
    variable = disp_y
  [../]
  [./_dt]
    type = TimestepSize
  [../]
  [./num_lin_it]
    type = NumLinearIterations
  [../]
  [./num_nonlin_it]
    type = NumNonlinearIterations
  [../]
[]

[BCs]
  [./bot_y]
    type = DirichletBC
    variable = disp_y
    boundary = 1
    value = 0.0
  [../]
  [./top_press]
    type = Pressure
    variable = disp_y
    boundary = 5
    factor = 109.89
  [../]
[]

[Materials]
  [./bot_elas_tens]
    type = ComputeIsotropicElasticityTensor
    block = '1'
    youngs_modulus = 1e6
    poissons_ratio = 0.3
  [../]
  [./bot_strain]
    type = ComputeAxisymmetricRZIncrementalStrain
    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 = ComputeAxisymmetricRZIncrementalStrain
    block = '2'
  [../]
  [./top_stress]
    type = ComputeFiniteStrainElasticStress
    block = '2'
  [../]
[]

[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-9
  nl_rel_tol = 1e-8
  l_max_its = 100
  nl_max_its = 200
  dt = 1.0
  end_time = 1.0
  num_steps = 10
  dtmin = 1.0
  l_tol = 1e-5
[]

[VectorPostprocessors]
  [./x_disp]
    type = NodalValueSampler
    variable = disp_x
    boundary = '1 3 4 5'
    sort_by = x
  [../]
  [./cont_press]
    type = NodalValueSampler
    variable = contact_pressure
    boundary = '3'
    sort_by = x
  [../]
[]

[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_x5 disp_y5 disp_x9 disp_y9 sigma_yy sigma_zz top_react_x top_react_y x_disp cont_press'
    execute_vector_postprocessors_on = timestep_end
  [../]
  [./outfile]
    type = CSV
    delimiter = ' '
    execute_vector_postprocessors_on = none
  [../]
[]

[Contact]
  [./leftright]
    secondary = 3
    primary = 4
    normalize_penalty = true
    tangential_tolerance = 1e-3
    penalty = 1e+9
    al_penetration_tolerance = 1e-8
  [../]
[]

(modules/contact/test/tests/verification/patch_tests/cyl_1/cyl1_template2.i)

#
# This input file is a template for both the frictionless and glued test
# variations for the current problem geometry. In order to create an input
# file to run outside the runtest framework, look at the tests file and add the
# appropriate input file lines from the cli_args line.
#

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

[Mesh]
  file = cyl1_mesh.e
[]

[Problem]
  type = AugmentedLagrangianContactProblem
  maximum_lagrangian_update_iterations = 200
  coord_type = RZ
[]

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

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

[Kernels]
  [./TensorMechanics]
    use_displaced_mesh = true
    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
  [../]
  [./stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zz
    index_i = 2
    index_j = 2
    execute_on = timestep_end
  [../]
  [./inc_slip_x]
    type = PenetrationAux
    variable = inc_slip_x
    execute_on = timestep_end
    boundary = 3
    paired_boundary = 4
  [../]
  [./inc_slip_y]
    type = PenetrationAux
    variable = inc_slip_y
    execute_on = timestep_end
    boundary = 3
    paired_boundary = 4
  [../]
  [./accum_slip_x]
    type = PenetrationAux
    variable = accum_slip_x
    execute_on = timestep_end
    boundary = 3
    paired_boundary = 4
  [../]
  [./accum_slip_y]
    type = PenetrationAux
    variable = accum_slip_y
    execute_on = timestep_end
    boundary = 3
    paired_boundary = 4
  [../]
  [./penetration]
    type = PenetrationAux
    variable = penetration
    boundary = 3
    paired_boundary = 4
  [../]
  [./tang_force_x]
    type = PenetrationAux
    variable = tang_force_x
    quantity = tangential_force_x
    boundary = 3
    paired_boundary = 4
  [../]
  [./tang_force_y]
    type = PenetrationAux
    variable = tang_force_y
    quantity = tangential_force_y
    boundary = 3
    paired_boundary = 4
  [../]
[] # AuxKernels

[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
  [../]
  [./sigma_yy]
    type = ElementAverageValue
    variable = stress_yy
  [../]
  [./sigma_zz]
    type = ElementAverageValue
    variable = stress_zz
  [../]
  [./disp_x2]
    type = NodalVariableValue
    nodeid = 1
    variable = disp_x
  [../]
  [./disp_x7]
    type = NodalVariableValue
    nodeid = 6
    variable = disp_x
  [../]
  [./disp_y2]
    type = NodalVariableValue
    nodeid = 1
    variable = disp_y
  [../]
  [./disp_y7]
    type = NodalVariableValue
    nodeid = 6
    variable = disp_y
  [../]
  [./_dt]
    type = TimestepSize
  [../]
  [./num_lin_it]
    type = NumLinearIterations
  [../]
  [./num_nonlin_it]
    type = NumNonlinearIterations
  [../]
[]

[BCs]
  [./bot_y]
    type = DirichletBC
    variable = disp_y
    boundary = 1
    value = 0.0
  [../]
  [./side_x]
    type = DirichletBC
    variable = disp_x
    boundary = 2
    value = 0.0
  [../]
  [./top_press]
    type = Pressure
    variable = disp_y
    boundary = 5
    factor = 109.89
  [../]
[]

[Materials]
  [./bot_elas_tens]
    type = ComputeIsotropicElasticityTensor
    block = '1'
    youngs_modulus = 1e6
    poissons_ratio = 0.3
  [../]
  [./bot_strain]
    type = ComputeAxisymmetricRZIncrementalStrain
    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 = ComputeAxisymmetricRZIncrementalStrain
    block = '2'
  [../]
  [./top_stress]
    type = ComputeFiniteStrainElasticStress
    block = '2'
  [../]
[]

[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 = 1000
  dt = 1.0
  end_time = 1.0
  num_steps = 10
  dtmin = 1.0
  l_tol = 1e-4
[]

[VectorPostprocessors]
  [./x_disp]
    type = NodalValueSampler
    variable = disp_x
    boundary = '1 3 4 5'
    sort_by = x
  [../]
  [./cont_press]
    type = NodalValueSampler
    variable = contact_pressure
    boundary = '3'
    sort_by = x
  [../]
[]

[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_x2 disp_y2 disp_x7 disp_y7 sigma_yy sigma_zz top_react_x top_react_y x_disp cont_press'
    execute_vector_postprocessors_on = timestep_end
  [../]
  [./outfile]
    type = CSV
    delimiter = ' '
    execute_vector_postprocessors_on = none
  [../]
[]

[Contact]
  [./leftright]
    secondary = 3
    primary = 4
    normalize_penalty = true
    tangential_tolerance = 1e-3
    penalty = 1e+9
    al_penetration_tolerance = 1e-8
  [../]
[]

(modules/contact/test/tests/verification/patch_tests/plane_2/plane2_template1.i)

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

[Mesh]
  file = plane2_mesh.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
  [../]
  [./stress_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./penetration]
  [../]
  [./saved_x]
  [../]
  [./saved_y]
  [../]
  [./diag_saved_x]
  [../]
  [./diag_saved_y]
  [../]
  [./inc_slip_x]
  [../]
  [./inc_slip_y]
  [../]
  [./accum_slip_x]
  [../]
  [./accum_slip_y]
  [../]
[]

[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
  [../]
  [./stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zz
    index_i = 2
    index_j = 2
    execute_on = timestep_end
  [../]
  [./zeroslip_x]
    type = ConstantAux
    variable = inc_slip_x
    boundary = 4
    execute_on = timestep_begin
    value = 0.0
  [../]
  [./zeroslip_y]
    type = ConstantAux
    variable = inc_slip_y
    boundary = 4
    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 = 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
  [../]
  [./sigma_yy]
    type = ElementAverageValue
    variable = stress_yy
  [../]
  [./sigma_zz]
    type = ElementAverageValue
    variable = stress_zz
  [../]
  [./disp_x5]
    type = NodalVariableValue
    nodeid = 4
    variable = disp_x
  [../]
  [./disp_x9]
    type = NodalVariableValue
    nodeid = 8
    variable = disp_x
  [../]
  [./disp_y5]
    type = NodalVariableValue
    nodeid = 4
    variable = disp_y
  [../]
  [./disp_y9]
    type = NodalVariableValue
    nodeid = 8
    variable = disp_y
  [../]
  [./_dt]
    type = TimestepSize
  [../]
  [./num_lin_it]
    type = NumLinearIterations
  [../]
  [./num_nonlin_it]
    type = NumNonlinearIterations
  [../]
[]

[BCs]
  [./bot_y]
    type = DirichletBC
    variable = disp_y
    boundary = 1
    value = 0.0
  [../]
  [./side_x]
    type = DirichletBC
    variable = disp_x
    boundary = 2
    value = 0.0
  [../]
  [./top_press]
    type = Pressure
    variable = disp_y
    boundary = 5
    factor = 109.89
  [../]
[]

[Materials]
  [./bot_elas_tens]
    type = ComputeIsotropicElasticityTensor
    block = '1'
    youngs_modulus = 1e6
    poissons_ratio = 0.3
  [../]
  [./bot_strain]
    type = ComputeIncrementalStrain
    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 = ComputeIncrementalStrain
    block = '2'
  [../]
  [./top_stress]
    type = ComputeFiniteStrainElasticStress
    block = '2'
  [../]
[]

[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-7
  l_max_its = 100
  nl_max_its = 200
  dt = 1.0
  end_time = 1.0
  num_steps = 10
  dtmin = 1.0
  l_tol = 1e-3
[]

[VectorPostprocessors]
  [./x_disp]
    type = NodalValueSampler
    variable = disp_x
    boundary = '1 3 4 5'
    sort_by = x
  [../]
  [./cont_press]
    type = NodalValueSampler
    variable = contact_pressure
    boundary = '3'
    sort_by = x
  [../]
[]

[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_x5 disp_y5 disp_x9 disp_y9 sigma_yy sigma_zz top_react_x top_react_y x_disp cont_press'
    execute_vector_postprocessors_on = timestep_end
  [../]
  [./outfile]
    type = CSV
    delimiter = ' '
    execute_vector_postprocessors_on = none
  [../]
[]

[Contact]
  [./leftright]
    secondary = 3
    primary = 4
    normalize_penalty = true
    tangential_tolerance = 1e-3
    penalty = 1e+9
  [../]
[]

(modules/contact/test/tests/verification/patch_tests/cyl_2/cyl2_template2.i)

#
# This input file is a template for both the frictionless and glued test
# variations for the current problem geometry. In order to create an input
# file to run outside the runtest framework, look at the tests file and add the
# appropriate input file lines from the cli_args line.
#

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

[Mesh]
  file = cyl2_mesh.e
[]

[Problem]
  type = AugmentedLagrangianContactProblem
  maximum_lagrangian_update_iterations = 200
  coord_type = RZ
[]

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

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

[Kernels]
  [./TensorMechanics]
    use_displaced_mesh = true
    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
  [../]
  [./stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zz
    index_i = 2
    index_j = 2
    execute_on = timestep_end
  [../]
  [./inc_slip_x]
    type = PenetrationAux
    variable = inc_slip_x
    execute_on = timestep_end
    boundary = 3
    paired_boundary = 4
  [../]
  [./inc_slip_y]
    type = PenetrationAux
    variable = inc_slip_y
    execute_on = timestep_end
    boundary = 3
    paired_boundary = 4
  [../]
  [./accum_slip_x]
    type = PenetrationAux
    variable = accum_slip_x
    execute_on = timestep_end
    boundary = 3
    paired_boundary = 4
  [../]
  [./accum_slip_y]
    type = PenetrationAux
    variable = accum_slip_y
    execute_on = timestep_end
    boundary = 3
    paired_boundary = 4
  [../]
  [./penetration]
    type = PenetrationAux
    variable = penetration
    boundary = 3
    paired_boundary = 4
  [../]
  [./tang_force_x]
    type = PenetrationAux
    variable = tang_force_x
    quantity = tangential_force_x
    boundary = 3
    paired_boundary = 4
  [../]
  [./tang_force_y]
    type = PenetrationAux
    variable = tang_force_y
    quantity = tangential_force_y
    boundary = 3
    paired_boundary = 4
  [../]
[] # AuxKernels

[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
  [../]
  [./sigma_yy]
    type = ElementAverageValue
    variable = stress_yy
  [../]
  [./sigma_zz]
    type = ElementAverageValue
    variable = stress_zz
  [../]
  [./disp_x5]
    type = NodalVariableValue
    nodeid = 4
    variable = disp_x
  [../]
  [./disp_x9]
    type = NodalVariableValue
    nodeid = 8
    variable = disp_x
  [../]
  [./disp_y5]
    type = NodalVariableValue
    nodeid = 4
    variable = disp_y
  [../]
  [./disp_y9]
    type = NodalVariableValue
    nodeid = 8
    variable = disp_y
  [../]
  [./_dt]
    type = TimestepSize
  [../]
  [./num_lin_it]
    type = NumLinearIterations
  [../]
  [./num_nonlin_it]
    type = NumNonlinearIterations
  [../]
[]

[BCs]
  [./bot_y]
    type = DirichletBC
    variable = disp_y
    boundary = 1
    value = 0.0
  [../]
  [./side_x]
    type = DirichletBC
    variable = disp_x
    boundary = 2
    value = 0.0
  [../]
  [./top_press]
    type = Pressure
    variable = disp_y
    boundary = 5
    factor = 109.89
  [../]
[]

[Materials]
  [./bot_elas_tens]
    type = ComputeIsotropicElasticityTensor
    block = '1'
    youngs_modulus = 1e6
    poissons_ratio = 0.3
  [../]
  [./bot_strain]
    type = ComputeAxisymmetricRZIncrementalStrain
    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 = ComputeAxisymmetricRZIncrementalStrain
    block = '2'
  [../]
  [./top_stress]
    type = ComputeFiniteStrainElasticStress
    block = '2'
  [../]
[]

[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 = 1000
  dt = 1.0
  end_time = 1.0
  num_steps = 10
  dtmin = 1.0
  l_tol = 1e-4
[]

[VectorPostprocessors]
  [./x_disp]
    type = NodalValueSampler
    variable = disp_x
    boundary = '1 3 4 5'
    sort_by = x
  [../]
  [./cont_press]
    type = NodalValueSampler
    variable = contact_pressure
    boundary = '3'
    sort_by = x
  [../]
[]

[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_x5 disp_y5 disp_x9 disp_y9 sigma_yy sigma_zz top_react_x top_react_y x_disp cont_press'
    execute_vector_postprocessors_on = timestep_end
  [../]
  [./outfile]
    type = CSV
    delimiter = ' '
    execute_vector_postprocessors_on = none
  [../]
[]

[Contact]
  [./leftright]
    secondary = 3
    primary = 4
    normalize_penalty = true
    tangential_tolerance = 1e-3
    penalty = 1e+9
    al_penetration_tolerance = 1e-8
  [../]
[]

(modules/contact/test/tests/verification/patch_tests/ring_4/ring4_template2.i)

[GlobalParams]
  order = SECOND
  displacements = 'disp_x disp_y'
[]

[Mesh]
  file = ring4_mesh.e
[]

[Problem]
  type = AugmentedLagrangianContactProblem
  maximum_lagrangian_update_iterations = 200
  coord_type = RZ
[]

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

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

[Kernels]
  [./TensorMechanics]
    use_displaced_mesh = true
    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
  [../]
  [./stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zz
    index_i = 2
    index_j = 2
    execute_on = timestep_end
  [../]
  [./inc_slip_x]
    type = PenetrationAux
    variable = inc_slip_x
    execute_on = timestep_end
    boundary = 3
    paired_boundary = 4
  [../]
  [./inc_slip_y]
    type = PenetrationAux
    variable = inc_slip_y
    execute_on = timestep_end
    boundary = 3
    paired_boundary = 4
  [../]
  [./accum_slip_x]
    type = PenetrationAux
    variable = accum_slip_x
    execute_on = timestep_end
    boundary = 3
    paired_boundary = 4
  [../]
  [./accum_slip_y]
    type = PenetrationAux
    variable = accum_slip_y
    execute_on = timestep_end
    boundary = 3
    paired_boundary = 4
  [../]
  [./penetration]
    type = PenetrationAux
    variable = penetration
    boundary = 3
    paired_boundary = 4
  [../]
  [./tang_force_x]
    type = PenetrationAux
    variable = tang_force_x
    quantity = tangential_force_x
    boundary = 3
    paired_boundary = 4
  [../]
  [./tang_force_y]
    type = PenetrationAux
    variable = tang_force_y
    quantity = tangential_force_y
    boundary = 3
    paired_boundary = 4
  [../]
[] # AuxKernels

[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
  [../]
  [./sigma_yy]
    type = ElementAverageValue
    variable = stress_yy
  [../]
  [./sigma_zz]
    type = ElementAverageValue
    variable = stress_zz
  [../]
  [./disp_x16]
    type = NodalVariableValue
    nodeid = 15
    variable = disp_x
  [../]
  [./disp_x9]
    type = NodalVariableValue
    nodeid = 8
    variable = disp_x
  [../]
  [./disp_y16]
    type = NodalVariableValue
    nodeid = 15
    variable = disp_y
  [../]
  [./disp_y9]
    type = NodalVariableValue
    nodeid = 8
    variable = disp_y
  [../]
  [./_dt]
    type = TimestepSize
  [../]
  [./num_lin_it]
    type = NumLinearIterations
  [../]
  [./num_nonlin_it]
    type = NumNonlinearIterations
  [../]
[]

[BCs]
  [./bot_y]
    type = DirichletBC
    variable = disp_y
    boundary = 1
    value = 0.0
  [../]
  [./top_press]
    type = Pressure
    variable = disp_y
    boundary = 5
    factor = 109.89
  [../]
[]

[Materials]
  [./bot_elas_tens]
    type = ComputeIsotropicElasticityTensor
    block = '1'
    youngs_modulus = 1e6
    poissons_ratio = 0.3
  [../]
  [./bot_strain]
    type = ComputeAxisymmetricRZIncrementalStrain
    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 = ComputeAxisymmetricRZIncrementalStrain
    block = '2'
  [../]
  [./top_stress]
    type = ComputeFiniteStrainElasticStress
    block = '2'
  [../]
[]

[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-10
  nl_rel_tol = 1e-8
  l_max_its = 50
  nl_max_its = 100
  dt = 1.0
  end_time = 1.0
  num_steps = 10
  dtmin = 1.0
  l_tol = 1e-5
[]

[VectorPostprocessors]
  [./x_disp]
    type = NodalValueSampler
    variable = disp_x
    boundary = '1 3 4 5'
    sort_by = x
  [../]
  [./cont_press]
    type = NodalValueSampler
    variable = contact_pressure
    boundary = '3'
    sort_by = x
  [../]
[]

[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_x9 disp_y9 disp_x16 disp_y16 sigma_yy sigma_zz top_react_x top_react_y x_disp cont_press'
    execute_vector_postprocessors_on = timestep_end
  [../]
  [./outfile]
    type = CSV
    delimiter = ' '
    execute_vector_postprocessors_on = none
  [../]
[]

[Contact]
  [./leftright]
    secondary = 3
    primary = 4
    normalize_penalty = true
    tangential_tolerance = 1e-3
    penalty = 1e+9
    al_penetration_tolerance = 1e-8
  [../]
[]

(test/tests/misc/save_in/save_in_test.i)

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

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

[AuxVariables]
  [./saved]
  [../]
  [./bc_saved]
  [../]
  [./accumulated]
  [../]
  [./diag_saved]
  [../]
  [./bc_diag_saved]
  [../]
  [./saved_dirichlet]
  [../]
  [./diag_saved_dirichlet]
  [../]
[]

[Kernels]
  [./diff]
    type = Diffusion
    variable = u
    save_in = 'saved accumulated saved_dirichlet'
    diag_save_in = 'diag_saved diag_saved_dirichlet'
  [../]
[]

[BCs]
  [./left]
    type = DirichletBC
    variable = u
    boundary = left
    value = 0
    save_in = saved_dirichlet
    diag_save_in = diag_saved_dirichlet
  [../]
  [./nbc]
    type = NeumannBC
    variable = u
    boundary = right
    value = 1
    save_in = 'bc_saved accumulated'
    diag_save_in = bc_diag_saved
  [../]
[]

[Postprocessors]
  [./left_flux]
    type = NodalSum
    variable = saved
    boundary = 1
  [../]
  [./saved_norm]
    type = NodalL2Norm
    variable = saved
    execute_on = timestep_end
    block = 0
  [../]
  [./saved_dirichlet_norm]
    type = NodalL2Norm
    variable = saved_dirichlet
    execute_on = timestep_end
    block = 0
  [../]
[]

[Executioner]
  type = Steady

  solve_type = 'PJFNK'

  petsc_options_iname = '-pc_type -pc_hypre_type'
  petsc_options_value = 'hypre boomeramg'
[]

[Outputs]
  file_base = out
  exodus = true
[]

(modules/contact/test/tests/verification/patch_tests/cyl_2/cyl2_template1.i)

#
# This input file is a template for both the frictionless and glued test
# variations for the current problem geometry. In order to create an input
# file to run outside the runtest framework, look at the tests file and add the
# appropriate input file lines from the cli_args line.
#

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

[Mesh]
  file = cyl2_mesh.e
[]

[Problem]
  type = FEProblem
  coord_type = RZ
[]

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

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

[Kernels]
  [./TensorMechanics]
    use_displaced_mesh = true
    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
  [../]
  [./stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zz
    index_i = 2
    index_j = 2
    execute_on = timestep_end
  [../]
  [./inc_slip_x]
    type = PenetrationAux
    variable = inc_slip_x
    execute_on = timestep_end
    boundary = 3
    paired_boundary = 4
  [../]
  [./inc_slip_y]
    type = PenetrationAux
    variable = inc_slip_y
    execute_on = timestep_end
    boundary = 3
    paired_boundary = 4
  [../]
  [./accum_slip_x]
    type = PenetrationAux
    variable = accum_slip_x
    execute_on = timestep_end
    boundary = 3
    paired_boundary = 4
  [../]
  [./accum_slip_y]
    type = PenetrationAux
    variable = accum_slip_y
    execute_on = timestep_end
    boundary = 3
    paired_boundary = 4
  [../]
  [./penetration]
    type = PenetrationAux
    variable = penetration
    boundary = 3
    paired_boundary = 4
  [../]
  [./tang_force_x]
    type = PenetrationAux
    variable = tang_force_x
    quantity = tangential_force_x
    boundary = 3
    paired_boundary = 4
  [../]
  [./tang_force_y]
    type = PenetrationAux
    variable = tang_force_y
    quantity = tangential_force_y
    boundary = 3
    paired_boundary = 4
  [../]
[] # AuxKernels

[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
  [../]
  [./sigma_yy]
    type = ElementAverageValue
    variable = stress_yy
  [../]
  [./sigma_zz]
    type = ElementAverageValue
    variable = stress_zz
  [../]
  [./disp_x5]
    type = NodalVariableValue
    nodeid = 4
    variable = disp_x
  [../]
  [./disp_x9]
    type = NodalVariableValue
    nodeid = 8
    variable = disp_x
  [../]
  [./disp_y5]
    type = NodalVariableValue
    nodeid = 4
    variable = disp_y
  [../]
  [./disp_y9]
    type = NodalVariableValue
    nodeid = 8
    variable = disp_y
  [../]
  [./_dt]
    type = TimestepSize
  [../]
  [./num_lin_it]
    type = NumLinearIterations
  [../]
  [./num_nonlin_it]
    type = NumNonlinearIterations
  [../]
[]

[BCs]
  [./bot_y]
    type = DirichletBC
    variable = disp_y
    boundary = 1
    value = 0.0
  [../]
  [./side_x]
    type = DirichletBC
    variable = disp_x
    boundary = 2
    value = 0.0
  [../]
  [./top_press]
    type = Pressure
    variable = disp_y
    boundary = 5
    factor = 109.89
  [../]
[]

[Materials]
  [./bot_elas_tens]
    type = ComputeIsotropicElasticityTensor
    block = '1'
    youngs_modulus = 1e6
    poissons_ratio = 0.3
  [../]
  [./bot_strain]
    type = ComputeAxisymmetricRZIncrementalStrain
    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 = ComputeAxisymmetricRZIncrementalStrain
    block = '2'
  [../]
  [./top_stress]
    type = ComputeFiniteStrainElasticStress
    block = '2'
  [../]
[]

[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 = 1000
  dt = 1.0
  end_time = 1.0
  num_steps = 10
  dtmin = 1.0
  l_tol = 1e-4
[]

[VectorPostprocessors]
  [./x_disp]
    type = NodalValueSampler
    variable = disp_x
    boundary = '1 3 4 5'
    sort_by = x
  [../]
  [./cont_press]
    type = NodalValueSampler
    variable = contact_pressure
    boundary = '3'
    sort_by = x
  [../]
[]

[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_x5 disp_y5 disp_x9 disp_y9 sigma_yy sigma_zz top_react_x top_react_y x_disp cont_press'
    execute_vector_postprocessors_on = timestep_end
  [../]
  [./outfile]
    type = CSV
    delimiter = ' '
    execute_vector_postprocessors_on = none
  [../]
[]

[Contact]
  [./leftright]
    secondary = 3
    primary = 4
    normalize_penalty = true
    tangential_tolerance = 1e-3
    penalty = 1e+9
  [../]
[]

(modules/contact/test/tests/verification/patch_tests/cyl_1/cyl1_template1.i)

#
# This input file is a template for both the frictionless and glued test
# variations for the current problem geometry. In order to create an input
# file to run outside the runtest framework, look at the tests file and add the
# appropriate input file lines from the cli_args line.
#

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

[Mesh]
  file = cyl1_mesh.e
[]

[Problem]
  type = FEProblem
  coord_type = RZ
[]

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

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

[Kernels]
  [./TensorMechanics]
    use_displaced_mesh = true
    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
  [../]
  [./stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zz
    index_i = 2
    index_j = 2
    execute_on = timestep_end
  [../]
  [./inc_slip_x]
    type = PenetrationAux
    variable = inc_slip_x
    execute_on = timestep_end
    boundary = 3
    paired_boundary = 4
  [../]
  [./inc_slip_y]
    type = PenetrationAux
    variable = inc_slip_y
    execute_on = timestep_end
    boundary = 3
    paired_boundary = 4
  [../]
  [./accum_slip_x]
    type = PenetrationAux
    variable = accum_slip_x
    execute_on = timestep_end
    boundary = 3
    paired_boundary = 4
  [../]
  [./accum_slip_y]
    type = PenetrationAux
    variable = accum_slip_y
    execute_on = timestep_end
    boundary = 3
    paired_boundary = 4
  [../]
  [./penetration]
    type = PenetrationAux
    variable = penetration
    boundary = 3
    paired_boundary = 4
  [../]
  [./tang_force_x]
    type = PenetrationAux
    variable = tang_force_x
    quantity = tangential_force_x
    boundary = 3
    paired_boundary = 4
  [../]
  [./tang_force_y]
    type = PenetrationAux
    variable = tang_force_y
    quantity = tangential_force_y
    boundary = 3
    paired_boundary = 4
  [../]
[] # AuxKernels

[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
  [../]
  [./sigma_yy]
    type = ElementAverageValue
    variable = stress_yy
  [../]
  [./sigma_zz]
    type = ElementAverageValue
    variable = stress_zz
  [../]
  [./disp_x2]
    type = NodalVariableValue
    nodeid = 1
    variable = disp_x
  [../]
  [./disp_x7]
    type = NodalVariableValue
    nodeid = 6
    variable = disp_x
  [../]
  [./disp_y2]
    type = NodalVariableValue
    nodeid = 1
    variable = disp_y
  [../]
  [./disp_y7]
    type = NodalVariableValue
    nodeid = 6
    variable = disp_y
  [../]
  [./_dt]
    type = TimestepSize
  [../]
  [./num_lin_it]
    type = NumLinearIterations
  [../]
  [./num_nonlin_it]
    type = NumNonlinearIterations
  [../]
[]

[BCs]
  [./bot_y]
    type = DirichletBC
    variable = disp_y
    boundary = 1
    value = 0.0
  [../]
  [./side_x]
    type = DirichletBC
    variable = disp_x
    boundary = 2
    value = 0.0
  [../]
  [./top_press]
    type = Pressure
    variable = disp_y
    boundary = 5
    factor = 109.89
  [../]
[]

[Materials]
  [./bot_elas_tens]
    type = ComputeIsotropicElasticityTensor
    block = '1'
    youngs_modulus = 1e6
    poissons_ratio = 0.3
  [../]
  [./bot_strain]
    type = ComputeAxisymmetricRZIncrementalStrain
    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 = ComputeAxisymmetricRZIncrementalStrain
    block = '2'
  [../]
  [./top_stress]
    type = ComputeFiniteStrainElasticStress
    block = '2'
  [../]
[]

[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 = 1000
  dt = 1.0
  end_time = 1.0
  num_steps = 10
  dtmin = 1.0
  l_tol = 1e-4
[]

[VectorPostprocessors]
  [./x_disp]
    type = NodalValueSampler
    variable = disp_x
    boundary = '1 3 4 5'
    sort_by = x
  [../]
  [./cont_press]
    type = NodalValueSampler
    variable = contact_pressure
    boundary = '3'
    sort_by = x
  [../]
[]

[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_x2 disp_y2 disp_x7 disp_y7 sigma_yy sigma_zz top_react_x top_react_y x_disp cont_press'
    execute_vector_postprocessors_on = timestep_end
  [../]
  [./outfile]
    type = CSV
    delimiter = ' '
    execute_vector_postprocessors_on = none
  [../]
[]

[Contact]
  [./leftright]
    secondary = 3
    primary = 4
    normalize_penalty = true
    tangential_tolerance = 1e-3
    penalty = 1e+9
  [../]
[]

(modules/contact/test/tests/verification/patch_tests/cyl_3/cyl3_mu_0_2_pen.i)

[GlobalParams]
  order = SECOND
  displacements = 'disp_x disp_y'
[]

[Mesh]
  file = cyl3_mesh.e
[]

[Problem]
  type = FEProblem
  coord_type = RZ
[]

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

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

[Kernels]
  [./TensorMechanics]
    use_displaced_mesh = true
    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
  [../]
  [./stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zz
    index_i = 2
    index_j = 2
    execute_on = timestep_end
  [../]
  [./inc_slip_x]
    type = PenetrationAux
    variable = inc_slip_x
    execute_on = timestep_end
    boundary = 3
    paired_boundary = 4
  [../]
  [./inc_slip_y]
    type = PenetrationAux
    variable = inc_slip_y
    execute_on = timestep_end
    boundary = 3
    paired_boundary = 4
  [../]
  [./accum_slip_x]
    type = PenetrationAux
    variable = accum_slip_x
    execute_on = timestep_end
    boundary = 3
    paired_boundary = 4
  [../]
  [./accum_slip_y]
    type = PenetrationAux
    variable = accum_slip_y
    execute_on = timestep_end
    boundary = 3
    paired_boundary = 4
  [../]
  [./penetration]
    type = PenetrationAux
    variable = penetration
    boundary = 3
    paired_boundary = 4
  [../]
  [./tang_force_x]
    type = PenetrationAux
    variable = tang_force_x
    quantity = tangential_force_x
    boundary = 3
    paired_boundary = 4
  [../]
  [./tang_force_y]
    type = PenetrationAux
    variable = tang_force_y
    quantity = tangential_force_y
    boundary = 3
    paired_boundary = 4
  [../]
[] # AuxKernels

[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
  [../]
  [./sigma_yy]
    type = ElementAverageValue
    variable = stress_yy
  [../]
  [./sigma_zz]
    type = ElementAverageValue
    variable = stress_zz
  [../]
  [./disp_x2]
    type = NodalVariableValue
    nodeid = 1
    variable = disp_x
  [../]
  [./disp_x11]
    type = NodalVariableValue
    nodeid = 10
    variable = disp_x
  [../]
  [./disp_y2]
    type = NodalVariableValue
    nodeid = 1
    variable = disp_y
  [../]
  [./disp_y11]
    type = NodalVariableValue
    nodeid = 10
    variable = disp_y
  [../]
  [./_dt]
    type = TimestepSize
  [../]
  [./num_lin_it]
    type = NumLinearIterations
  [../]
  [./num_nonlin_it]
    type = NumNonlinearIterations
  [../]
[]

[BCs]
  [./bot_y]
    type = DirichletBC
    variable = disp_y
    boundary = 1
    value = 0.0
  [../]
  [./side_x]
    type = DirichletBC
    variable = disp_x
    boundary = 2
    value = 0.0
  [../]
  [./top_press]
    type = Pressure
    variable = disp_y
    boundary = 5
    factor = 109.89
  [../]
[]

[Materials]
  [./bot_elas_tens]
    type = ComputeIsotropicElasticityTensor
    block = '1'
    youngs_modulus = 1e6
    poissons_ratio = 0.3
  [../]
  [./bot_strain]
    type = ComputeAxisymmetricRZIncrementalStrain
    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 = ComputeAxisymmetricRZIncrementalStrain
    block = '2'
  [../]
  [./top_stress]
    type = ComputeFiniteStrainElasticStress
    block = '2'
  [../]
[]

[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
  dt = 1.0
  end_time = 1.0
  num_steps = 10
  dtmin = 1.0
  l_tol = 1e-4
[]

[VectorPostprocessors]
  [./x_disp]
    type = NodalValueSampler
    variable = disp_x
    boundary = '1 3 4 5'
    sort_by = x
  [../]
  [./cont_press]
    type = NodalValueSampler
    variable = contact_pressure
    boundary = '3'
    sort_by = x
  [../]
[]

[Outputs]
  file_base = cyl3_mu_0_2_pen_out
  print_linear_residuals = true
  perf_graph = true
  [./exodus]
    type = Exodus
    elemental_as_nodal = true
  [../]
  [./console]
    type = Console
    max_rows = 5
  [../]
  [./chkfile]
    type = CSV
    file_base = cyl3_mu_0_2_pen_check
    show = 'bot_react_x bot_react_y disp_x2 disp_y2 disp_x11 disp_y11 sigma_yy sigma_zz top_react_x top_react_y x_disp cont_press'
    execute_vector_postprocessors_on = timestep_end
  [../]
  [./outfile]
    type = CSV
    delimiter = ' '
    execute_vector_postprocessors_on = none
  [../]
[]

[Contact]
  [./leftright]
    secondary = 3
    primary = 4
    model = coulomb
    formulation = penalty
    normalize_penalty = true
    tangential_tolerance = 1e-3
    friction_coefficient = 0.2
    penalty = 1e+9
  [../]
[]

(modules/contact/test/tests/verification/patch_tests/plane_2/plane2_mu_0_2_pen.i)

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

[Mesh]
  file = plane2_mesh.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
  [../]
  [./stress_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./penetration]
  [../]
  [./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]
  [../]
[]

[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
  [../]
  [./stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zz
    index_i = 2
    index_j = 2
    execute_on = timestep_end
  [../]
  [./inc_slip_x]
    type = PenetrationAux
    variable = inc_slip_x
    execute_on = timestep_end
    boundary = 3
    paired_boundary = 4
  [../]
  [./inc_slip_y]
    type = PenetrationAux
    variable = inc_slip_y
    execute_on = timestep_end
    boundary = 3
    paired_boundary = 4
  [../]
  [./accum_slip_x]
    type = PenetrationAux
    variable = accum_slip_x
    execute_on = timestep_end
    boundary = 3
    paired_boundary = 4
  [../]
  [./accum_slip_y]
    type = PenetrationAux
    variable = accum_slip_y
    execute_on = timestep_end
    boundary = 3
    paired_boundary = 4
  [../]
  [./penetration]
    type = PenetrationAux
    variable = penetration
    boundary = 3
    paired_boundary = 4
  [../]
  [./tang_force_x]
    type = PenetrationAux
    variable = tang_force_x
    quantity = tangential_force_x
    boundary = 3
    paired_boundary = 4
  [../]
  [./tang_force_y]
    type = PenetrationAux
    variable = tang_force_y
    quantity = tangential_force_y
    boundary = 3
    paired_boundary = 4
  [../]
[]

[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
  [../]
  [./sigma_yy]
    type = ElementAverageValue
    variable = stress_yy
  [../]
  [./sigma_zz]
    type = ElementAverageValue
    variable = stress_zz
  [../]
  [./disp_x5]
    type = NodalVariableValue
    nodeid = 4
    variable = disp_x
  [../]
  [./disp_x9]
    type = NodalVariableValue
    nodeid = 8
    variable = disp_x
  [../]
  [./disp_y5]
    type = NodalVariableValue
    nodeid = 4
    variable = disp_y
  [../]
  [./disp_y9]
    type = NodalVariableValue
    nodeid = 8
    variable = disp_y
  [../]
  [./_dt]
    type = TimestepSize
  [../]
  [./num_lin_it]
    type = NumLinearIterations
  [../]
  [./num_nonlin_it]
    type = NumNonlinearIterations
  [../]
[]

[BCs]
  [./bot_y]
    type = DirichletBC
    variable = disp_y
    boundary = 1
    value = 0.0
  [../]
  [./side_x]
    type = DirichletBC
    variable = disp_x
    boundary = 2
    value = 0.0
  [../]
  [./top_press]
    type = Pressure
    variable = disp_y
    boundary = 5
    factor = 109.89
  [../]
[]

[Materials]
  [./bot_elas_tens]
    type = ComputeIsotropicElasticityTensor
    block = '1'
    youngs_modulus = 1e6
    poissons_ratio = 0.3
  [../]
  [./bot_strain]
    type = ComputeIncrementalStrain
    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 = ComputeIncrementalStrain
    block = '2'
  [../]
  [./top_stress]
    type = ComputeFiniteStrainElasticStress
    block = '2'
  [../]
[]

[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-7
  l_max_its = 100
  nl_max_its = 200
  dt = 1.0
  end_time = 1.0
  num_steps = 10
  dtmin = 1.0
  l_tol = 1e-3
[]

[VectorPostprocessors]
  [./x_disp]
    type = NodalValueSampler
    variable = disp_x
    boundary = '1 3 4 5'
    sort_by = x
  [../]
  [./cont_press]
    type = NodalValueSampler
    variable = contact_pressure
    boundary = '3'
    sort_by = x
  [../]
[]

[Outputs]
  file_base = plane2_mu_0_2_pen_out
  print_linear_residuals = true
  perf_graph = true
  [./exodus]
    type = Exodus
    elemental_as_nodal = true
  [../]
  [./console]
    type = Console
    max_rows = 5
  [../]
  [./chkfile]
    type = CSV
    file_base = plane2_mu_0_2_pen_check
    show = 'bot_react_x bot_react_y disp_x5 disp_y5 disp_x9 disp_y9 sigma_yy sigma_zz top_react_x top_react_y x_disp cont_press'
    execute_vector_postprocessors_on = timestep_end
  [../]
  [./outfile]
    type = CSV
    delimiter = ' '
    execute_vector_postprocessors_on = none
  [../]
[]

[Contact]
  [./leftright]
    secondary = 3
    primary = 4
    model = coulomb
    formulation = penalty
    normalize_penalty = true
    friction_coefficient = 0.2
    penalty = 1e+9
  [../]
[]

(modules/contact/test/tests/verification/patch_tests/brick_4/brick4_template1.i)

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

[Mesh]
  file = brick4_mesh.e
[]

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

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

[AuxVariables]
  [./stress_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./penetration]
  [../]
  [./saved_x]
  [../]
  [./saved_y]
  [../]
  [./saved_z]
  [../]
  [./diag_saved_x]
  [../]
  [./diag_saved_y]
  [../]
  [./diag_saved_z]
  [../]
  [./inc_slip_x]
  [../]
  [./inc_slip_y]
  [../]
  [./inc_slip_z]
  [../]
  [./accum_slip_x]
  [../]
  [./accum_slip_y]
  [../]
  [./accum_slip_z]
  [../]
[]

[Kernels]
  [./TensorMechanics]
    use_displaced_mesh = true
    save_in = 'saved_x saved_y saved_z'
    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
  [../]
  [./stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zz
    index_i = 2
    index_j = 2
    execute_on = timestep_end
  [../]
  [./inc_slip_x]
    type = PenetrationAux
    variable = inc_slip_x
    execute_on = timestep_begin
    boundary = 4
    paired_boundary = 3
  [../]
  [./inc_slip_y]
    type = PenetrationAux
    variable = inc_slip_y
    execute_on = timestep_begin
    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
  [../]
[]

[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
  [../]
  [./sigma_yy]
    type = ElementAverageValue
    variable = stress_yy
  [../]
  [./sigma_zz]
    type = ElementAverageValue
    variable = stress_zz
  [../]
  [./disp_x59]
    type = NodalVariableValue
    nodeid = 58
    variable = disp_x
  [../]
  [./disp_x64]
    type = NodalVariableValue
    nodeid = 63
    variable = disp_x
  [../]
  [./disp_y59]
    type = NodalVariableValue
    nodeid = 58
    variable = disp_y
  [../]
  [./disp_y64]
    type = NodalVariableValue
    nodeid = 63
    variable = disp_y
  [../]
  [./_dt]
    type = TimestepSize
  [../]
  [./num_lin_it]
    type = NumLinearIterations
  [../]
  [./num_nonlin_it]
    type = NumNonlinearIterations
  [../]
[]

[BCs]
  [./bot_y]
    type = DirichletBC
    variable = disp_y
    boundary = 1
    value = 0.0
  [../]
  [./side_x]
    type = DirichletBC
    variable = disp_x
    boundary = 2
    value = 0.0
  [../]
  [./back_z]
    type = DirichletBC
    variable = disp_z
    boundary = 6
    value = 0.0
  [../]
  [./top_press]
    type = Pressure
    variable = disp_y
    boundary = 5
    factor = 109.89
  [../]
[]

[Materials]
  [./bot_elas_tens]
    type = ComputeIsotropicElasticityTensor
    block = '1'
    youngs_modulus = 1e6
    poissons_ratio = 0.3
  [../]
  [./bot_strain]
    type = ComputeFiniteStrain
    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 = ComputeFiniteStrain
    block = '2'
  [../]
  [./top_stress]
    type = ComputeFiniteStrainElasticStress
    block = '2'
  [../]
[]

[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
  dt = 1.0
  end_time = 1.0
  num_steps = 10
  dtmin = 1.0
  l_tol = 1e-4
[]

[VectorPostprocessors]
  [./x_disp]
    type = NodalValueSampler
    variable = disp_x
    boundary = '1 3 4 5'
    sort_by = id
  [../]
  [./y_disp]
    type = NodalValueSampler
    variable = disp_y
    boundary = '1 3 4 5'
    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 = 'bot_react_x bot_react_y disp_x59 disp_y59 disp_x64 disp_y64 stress_yy stress_zz top_react_x top_react_y x_disp y_disp cont_press'
    execute_vector_postprocessors_on = timestep_end
  [../]
  [./outfile]
    type = CSV
    delimiter = ' '
    execute_vector_postprocessors_on = none
  [../]
[]

[Contact]
  [./leftright]
    secondary = 3
    primary = 4
    normalize_penalty = true
    tangential_tolerance = 1e-3
    penalty = 1e+9
  [../]
[]

(modules/contact/test/tests/verification/patch_tests/ring_2/ring2_template1.i)

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

[Mesh]
  file = ring2_mesh.e
[]

[Problem]
  type = FEProblem
  coord_type = RZ
[]

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

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

[Kernels]
  [./TensorMechanics]
    use_displaced_mesh = true
    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
  [../]
  [./stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zz
    index_i = 2
    index_j = 2
    execute_on = timestep_end
  [../]
  [./inc_slip_x]
    type = PenetrationAux
    variable = inc_slip_x
    execute_on = timestep_end
    boundary = 3
    paired_boundary = 4
  [../]
  [./inc_slip_y]
    type = PenetrationAux
    variable = inc_slip_y
    execute_on = timestep_end
    boundary = 3
    paired_boundary = 4
  [../]
  [./accum_slip_x]
    type = PenetrationAux
    variable = accum_slip_x
    execute_on = timestep_end
    boundary = 3
    paired_boundary = 4
  [../]
  [./accum_slip_y]
    type = PenetrationAux
    variable = accum_slip_y
    execute_on = timestep_end
    boundary = 3
    paired_boundary = 4
  [../]
  [./penetration]
    type = PenetrationAux
    variable = penetration
    boundary = 3
    paired_boundary = 4
  [../]
  [./tang_force_x]
    type = PenetrationAux
    variable = tang_force_x
    quantity = tangential_force_x
    boundary = 3
    paired_boundary = 4
  [../]
  [./tang_force_y]
    type = PenetrationAux
    variable = tang_force_y
    quantity = tangential_force_y
    boundary = 3
    paired_boundary = 4
  [../]
[] # AuxKernels

[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
  [../]
  [./sigma_yy]
    type = ElementAverageValue
    variable = stress_yy
  [../]
  [./sigma_zz]
    type = ElementAverageValue
    variable = stress_zz
  [../]
  [./disp_x5]
    type = NodalVariableValue
    nodeid = 4
    variable = disp_x
  [../]
  [./disp_x9]
    type = NodalVariableValue
    nodeid = 8
    variable = disp_x
  [../]
  [./disp_y5]
    type = NodalVariableValue
    nodeid = 4
    variable = disp_y
  [../]
  [./disp_y9]
    type = NodalVariableValue
    nodeid = 8
    variable = disp_y
  [../]
  [./_dt]
    type = TimestepSize
  [../]
  [./num_lin_it]
    type = NumLinearIterations
  [../]
  [./num_nonlin_it]
    type = NumNonlinearIterations
  [../]
[]

[BCs]
  [./bot_y]
    type = DirichletBC
    variable = disp_y
    boundary = 1
    value = 0.0
  [../]
  [./top_press]
    type = Pressure
    variable = disp_y
    boundary = 5
    factor = 109.89
  [../]
[]

[Materials]
  [./bot_elas_tens]
    type = ComputeIsotropicElasticityTensor
    block = '1'
    youngs_modulus = 1e6
    poissons_ratio = 0.3
  [../]
  [./bot_strain]
    type = ComputeAxisymmetricRZIncrementalStrain
    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 = ComputeAxisymmetricRZIncrementalStrain
    block = '2'
  [../]
  [./top_stress]
    type = ComputeFiniteStrainElasticStress
    block = '2'
  [../]
[]

[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-9
  nl_rel_tol = 1e-8
  l_max_its = 100
  nl_max_its = 200
  dt = 1.0
  end_time = 1.0
  num_steps = 10
  dtmin = 1.0
  l_tol = 1e-5
[]

[VectorPostprocessors]
  [./x_disp]
    type = NodalValueSampler
    variable = disp_x
    boundary = '1 3 4 5'
    sort_by = x
  [../]
  [./cont_press]
    type = NodalValueSampler
    variable = contact_pressure
    boundary = '3'
    sort_by = x
  [../]
[]

[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_x5 disp_y5 disp_x9 disp_y9 sigma_yy sigma_zz top_react_x top_react_y x_disp cont_press'
    execute_vector_postprocessors_on = timestep_end
  [../]
  [./outfile]
    type = CSV
    delimiter = ' '
    execute_vector_postprocessors_on = none
  [../]
[]

[Contact]
  [./leftright]
    secondary = 3
    primary = 4
    normalize_penalty = true
    tangential_tolerance = 1e-3
    penalty = 1e+9
  [../]
[]

(modules/contact/test/tests/verification/patch_tests/ring_3/ring3_template2.i)

[GlobalParams]
  order = SECOND
  displacements = 'disp_x disp_y'
[]

[Mesh]
  file = ring3_mesh.e
[]

[Problem]
  type = AugmentedLagrangianContactProblem
  maximum_lagrangian_update_iterations = 200
  coord_type = RZ
[]

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

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

[Kernels]
  [./TensorMechanics]
    use_displaced_mesh = true
    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
  [../]
  [./stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zz
    index_i = 2
    index_j = 2
    execute_on = timestep_end
  [../]
  [./inc_slip_x]
    type = PenetrationAux
    variable = inc_slip_x
    execute_on = timestep_end
    boundary = 3
    paired_boundary = 4
  [../]
  [./inc_slip_y]
    type = PenetrationAux
    variable = inc_slip_y
    execute_on = timestep_end
    boundary = 3
    paired_boundary = 4
  [../]
  [./accum_slip_x]
    type = PenetrationAux
    variable = accum_slip_x
    execute_on = timestep_end
    boundary = 3
    paired_boundary = 4
  [../]
  [./accum_slip_y]
    type = PenetrationAux
    variable = accum_slip_y
    execute_on = timestep_end
    boundary = 3
    paired_boundary = 4
  [../]
  [./penetration]
    type = PenetrationAux
    variable = penetration
    boundary = 3
    paired_boundary = 4
  [../]
  [./tang_force_x]
    type = PenetrationAux
    variable = tang_force_x
    quantity = tangential_force_x
    boundary = 3
    paired_boundary = 4
  [../]
  [./tang_force_y]
    type = PenetrationAux
    variable = tang_force_y
    quantity = tangential_force_y
    boundary = 3
    paired_boundary = 4
  [../]
[] # AuxKernels

[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
  [../]
  [./sigma_yy]
    type = ElementAverageValue
    variable = stress_yy
  [../]
  [./sigma_zz]
    type = ElementAverageValue
    variable = stress_zz
  [../]
  [./disp_x2]
    type = NodalVariableValue
    nodeid = 1
    variable = disp_x
  [../]
  [./disp_x11]
    type = NodalVariableValue
    nodeid = 10
    variable = disp_x
  [../]
  [./disp_y2]
    type = NodalVariableValue
    nodeid = 1
    variable = disp_y
  [../]
  [./disp_y11]
    type = NodalVariableValue
    nodeid = 10
    variable = disp_y
  [../]
  [./_dt]
    type = TimestepSize
  [../]
  [./num_lin_it]
    type = NumLinearIterations
  [../]
  [./num_nonlin_it]
    type = NumNonlinearIterations
  [../]
[]

[BCs]
  [./bot_y]
    type = DirichletBC
    variable = disp_y
    boundary = 1
    value = 0.0
  [../]
  [./top_press]
    type = Pressure
    variable = disp_y
    boundary = 5
    factor = 109.89
  [../]
[]

[Materials]
  [./bot_elas_tens]
    type = ComputeIsotropicElasticityTensor
    block = '1'
    youngs_modulus = 1e6
    poissons_ratio = 0.3
  [../]
  [./bot_strain]
    type = ComputeAxisymmetricRZIncrementalStrain
    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 = ComputeAxisymmetricRZIncrementalStrain
    block = '2'
  [../]
  [./top_stress]
    type = ComputeFiniteStrainElasticStress
    block = '2'
  [../]
[]

[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'

  nl_abs_tol = 1e-10
  nl_rel_tol = 1e-9
  l_max_its = 50
  nl_max_its = 100
  dt = 1.0
  end_time = 1.0
  num_steps = 10
  dtmin = 1.0
  l_tol = 1e-5
[]

[VectorPostprocessors]
  [./x_disp]
    type = NodalValueSampler
    variable = disp_x
    boundary = '1 3 4 5'
    sort_by = x
  [../]
  [./cont_press]
    type = NodalValueSampler
    variable = contact_pressure
    boundary = '3'
    sort_by = x
  [../]
[]

[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_x2 disp_y2 disp_x11 disp_y11 sigma_yy sigma_zz top_react_x top_react_y x_disp cont_press'
    execute_vector_postprocessors_on = timestep_end
  [../]
  [./outfile]
    type = CSV
    delimiter = ' '
    execute_vector_postprocessors_on = none
  [../]
[]

[Contact]
  [./leftright]
    secondary = 3
    primary = 4
    normalize_penalty = true
    tangential_tolerance = 1e-3
    penalty = 1e+9
    al_penetration_tolerance = 1e-8
  [../]
[]

(modules/contact/test/tests/verification/patch_tests/ring_4/ring4_template1.i)

[GlobalParams]
  order = SECOND
  displacements = 'disp_x disp_y'
[]

[Mesh]
  file = ring4_mesh.e
[]

[Problem]
  type = FEProblem
  coord_type = RZ
[]

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

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

[Kernels]
  [./TensorMechanics]
    use_displaced_mesh = true
    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
  [../]
  [./stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zz
    index_i = 2
    index_j = 2
    execute_on = timestep_end
  [../]
  [./inc_slip_x]
    type = PenetrationAux
    variable = inc_slip_x
    execute_on = timestep_end
    boundary = 3
    paired_boundary = 4
  [../]
  [./inc_slip_y]
    type = PenetrationAux
    variable = inc_slip_y
    execute_on = timestep_end
    boundary = 3
    paired_boundary = 4
  [../]
  [./accum_slip_x]
    type = PenetrationAux
    variable = accum_slip_x
    execute_on = timestep_end
    boundary = 3
    paired_boundary = 4
  [../]
  [./accum_slip_y]
    type = PenetrationAux
    variable = accum_slip_y
    execute_on = timestep_end
    boundary = 3
    paired_boundary = 4
  [../]
  [./penetration]
    type = PenetrationAux
    variable = penetration
    boundary = 3
    paired_boundary = 4
  [../]
  [./tang_force_x]
    type = PenetrationAux
    variable = tang_force_x
    quantity = tangential_force_x
    boundary = 3
    paired_boundary = 4
  [../]
  [./tang_force_y]
    type = PenetrationAux
    variable = tang_force_y
    quantity = tangential_force_y
    boundary = 3
    paired_boundary = 4
  [../]
[] # AuxKernels

[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
  [../]
  [./sigma_yy]
    type = ElementAverageValue
    variable = stress_yy
  [../]
  [./sigma_zz]
    type = ElementAverageValue
    variable = stress_zz
  [../]
  [./disp_x16]
    type = NodalVariableValue
    nodeid = 15
    variable = disp_x
  [../]
  [./disp_x9]
    type = NodalVariableValue
    nodeid = 8
    variable = disp_x
  [../]
  [./disp_y16]
    type = NodalVariableValue
    nodeid = 15
    variable = disp_y
  [../]
  [./disp_y9]
    type = NodalVariableValue
    nodeid = 8
    variable = disp_y
  [../]
  [./_dt]
    type = TimestepSize
  [../]
  [./num_lin_it]
    type = NumLinearIterations
  [../]
  [./num_nonlin_it]
    type = NumNonlinearIterations
  [../]
[]

[BCs]
  [./bot_y]
    type = DirichletBC
    variable = disp_y
    boundary = 1
    value = 0.0
  [../]
  [./top_press]
    type = Pressure
    variable = disp_y
    boundary = 5
    factor = 109.89
  [../]
[]

[Materials]
  [./bot_elas_tens]
    type = ComputeIsotropicElasticityTensor
    block = '1'
    youngs_modulus = 1e6
    poissons_ratio = 0.3
  [../]
  [./bot_strain]
    type = ComputeAxisymmetricRZIncrementalStrain
    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 = ComputeAxisymmetricRZIncrementalStrain
    block = '2'
  [../]
  [./top_stress]
    type = ComputeFiniteStrainElasticStress
    block = '2'
  [../]
[]

[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-10
  nl_rel_tol = 1e-9
  l_max_its = 50
  nl_max_its = 100
  dt = 1.0
  end_time = 1.0
  num_steps = 10
  dtmin = 1.0
  l_tol = 1e-5
[]

[VectorPostprocessors]
  [./x_disp]
    type = NodalValueSampler
    variable = disp_x
    boundary = '1 3 4 5'
    sort_by = x
  [../]
  [./cont_press]
    type = NodalValueSampler
    variable = contact_pressure
    boundary = '3'
    sort_by = x
  [../]
[]

[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_x9 disp_y9 disp_x16 disp_y16 sigma_yy sigma_zz top_react_x top_react_y x_disp cont_press'
    execute_vector_postprocessors_on = timestep_end
  [../]
  [./outfile]
    type = CSV
    delimiter = ' '
    execute_vector_postprocessors_on = none
  [../]
[]

[Contact]
  [./leftright]
    secondary = 3
    primary = 4
    normalize_penalty = true
    tangential_tolerance = 1e-3
    penalty = 1e+9
  [../]
[]

(modules/contact/test/tests/verification/patch_tests/plane_4/plane4_mu_0_2_pen.i)

[GlobalParams]
  order = SECOND
  displacements = 'disp_x disp_y'
[]

[Mesh]
  file = plane4_mesh.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
  [../]
  [./stress_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./penetration]
  [../]
  [./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]
  [../]
[]

[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
  [../]
  [./stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zz
    index_i = 2
    index_j = 2
    execute_on = timestep_end
  [../]
  [./inc_slip_x]
    type = PenetrationAux
    variable = inc_slip_x
    execute_on = timestep_end
    boundary = 3
    paired_boundary = 4
  [../]
  [./inc_slip_y]
    type = PenetrationAux
    variable = inc_slip_y
    execute_on = timestep_end
    boundary = 3
    paired_boundary = 4
  [../]
  [./accum_slip_x]
    type = PenetrationAux
    variable = accum_slip_x
    execute_on = timestep_end
    boundary = 3
    paired_boundary = 4
  [../]
  [./accum_slip_y]
    type = PenetrationAux
    variable = accum_slip_y
    execute_on = timestep_end
    boundary = 3
    paired_boundary = 4
  [../]
  [./penetration]
    type = PenetrationAux
    variable = penetration
    boundary = 3
    paired_boundary = 4
  [../]
  [./tang_force_x]
    type = PenetrationAux
    variable = tang_force_x
    quantity = tangential_force_x
    boundary = 3
    paired_boundary = 4
  [../]
  [./tang_force_y]
    type = PenetrationAux
    variable = tang_force_y
    quantity = tangential_force_y
    boundary = 3
    paired_boundary = 4
  [../]
[]

[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
  [../]
  [./sigma_yy]
    type = ElementAverageValue
    variable = stress_yy
  [../]
  [./sigma_zz]
    type = ElementAverageValue
    variable = stress_zz
  [../]
  [./disp_x9]
    type = NodalVariableValue
    nodeid = 8
    variable = disp_x
  [../]
  [./disp_x16]
    type = NodalVariableValue
    nodeid = 15
    variable = disp_x
  [../]
  [./disp_y9]
    type = NodalVariableValue
    nodeid = 8
    variable = disp_y
  [../]
  [./disp_y16]
    type = NodalVariableValue
    nodeid = 15
    variable = disp_y
  [../]
  [./_dt]
    type = TimestepSize
  [../]
  [./num_lin_it]
    type = NumLinearIterations
  [../]
  [./num_nonlin_it]
    type = NumNonlinearIterations
  [../]
[]

[BCs]
  [./bot_y]
    type = DirichletBC
    variable = disp_y
    boundary = 1
    value = 0.0
  [../]
  [./side_x]
    type = DirichletBC
    variable = disp_x
    boundary = 2
    value = 0.0
  [../]
  [./top_press]
    type = Pressure
    variable = disp_y
    boundary = 5
    factor = 109.89
  [../]
[]

[Materials]
  [./bot_elas_tens]
    type = ComputeIsotropicElasticityTensor
    block = '1'
    youngs_modulus = 1e6
    poissons_ratio = 0.3
  [../]
  [./bot_strain]
    type = ComputeIncrementalStrain
    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 = ComputeIncrementalStrain
    block = '2'
  [../]
  [./top_stress]
    type = ComputeFiniteStrainElasticStress
    block = '2'
  [../]
[]

[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-10
  nl_rel_tol = 1e-7
  l_max_its = 100
  nl_max_its = 200
  dt = 1.0
  end_time = 1.0
  num_steps = 10
  dtmin = 1.0
  l_tol = 1e-3
[]

[VectorPostprocessors]
  [./x_disp]
    type = NodalValueSampler
    variable = disp_x
    boundary = '1 3 4 5'
    sort_by = x
  [../]
  [./cont_press]
    type = NodalValueSampler
    variable = contact_pressure
    boundary = '3'
    sort_by = x
  [../]
[]

[Outputs]
  file_base = plane4_mu_0_2_pen_out
  print_linear_residuals = true
  perf_graph = true
  [./exodus]
    type = Exodus
    elemental_as_nodal = true
  [../]
  [./console]
    type = Console
    max_rows = 5
  [../]
  [./chkfile]
    type = CSV
    file_base = plane4_mu_0_2_pen_check
    show = 'bot_react_x bot_react_y disp_x9 disp_y9 disp_x16 disp_y16 sigma_yy sigma_zz top_react_x top_react_y x_disp cont_press'
    execute_vector_postprocessors_on = timestep_end
  [../]
  [./outfile]
    type = CSV
    delimiter = ' '
    execute_vector_postprocessors_on = none
  [../]
[]

[Contact]
  [./leftright]
    secondary = 3
    primary = 4
    model = coulomb
    formulation = penalty
    normalize_penalty = true
    friction_coefficient = 0.2
    penalty = 1e+9
  [../]
[]

(modules/contact/test/tests/verification/patch_tests/plane_1/plane1_template2.i)

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

[Mesh]
  file = plane1_mesh.e
[]

[Problem]
  type = AugmentedLagrangianContactProblem
  extra_tag_vectors = 'ref'
  reference_vector = 'ref'
  maximum_lagrangian_update_iterations = 200
[]

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

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

[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
  [../]
  [./stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zz
    index_i = 2
    index_j = 2
    execute_on = timestep_end
  [../]
  [./zeroslip_x]
    type = ConstantAux
    variable = inc_slip_x
    boundary = 4
    execute_on = timestep_begin
    value = 0.0
  [../]
  [./zeroslip_y]
    type = ConstantAux
    variable = inc_slip_y
    boundary = 4
    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 = 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
  [../]
  [./sigma_yy]
    type = ElementAverageValue
    variable = stress_yy
  [../]
  [./sigma_zz]
    type = ElementAverageValue
    variable = stress_zz
  [../]
  [./disp_x2]
    type = NodalVariableValue
    nodeid = 1
    variable = disp_x
  [../]
  [./disp_x7]
    type = NodalVariableValue
    nodeid = 6
    variable = disp_x
  [../]
  [./disp_y2]
    type = NodalVariableValue
    nodeid = 1
    variable = disp_y
  [../]
  [./disp_y7]
    type = NodalVariableValue
    nodeid = 6
    variable = disp_y
  [../]
  [./_dt]
    type = TimestepSize
  [../]
  [./num_lin_it]
    type = NumLinearIterations
  [../]
  [./num_nonlin_it]
    type = NumNonlinearIterations
  [../]
[]

[BCs]
  [./bot_y]
    type = DirichletBC
    variable = disp_y
    boundary = 1
    value = 0.0
  [../]
  [./side_x]
    type = DirichletBC
    variable = disp_x
    boundary = 2
    value = 0.0
  [../]
  [./top_press]
    type = Pressure
    variable = disp_y
    boundary = 5
    factor = 109.89
  [../]
[]

[Materials]
  [./bot_elas_tens]
    type = ComputeIsotropicElasticityTensor
    block = '1'
    youngs_modulus = 1e6
    poissons_ratio = 0.3
  [../]
  [./bot_strain]
    type = ComputeIncrementalStrain
    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 = ComputeIncrementalStrain
    block = '2'
  [../]
  [./top_stress]
    type = ComputeFiniteStrainElasticStress
    block = '2'
  [../]
[]

[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-10
  nl_rel_tol = 1e-9
  l_max_its = 50
  nl_max_its = 100
  dt = 1.0
  end_time = 1.0
  num_steps = 10
  dtmin = 1.0
  l_tol = 1e-3
[]

[VectorPostprocessors]
  [./x_disp]
    type = NodalValueSampler
    variable = disp_x
    boundary = '1 3 4 5'
    sort_by = x
  [../]
  [./cont_press]
    type = NodalValueSampler
    variable = contact_pressure
    boundary = '3'
    sort_by = x
  [../]
[]

[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_x2 disp_y2 disp_x7 disp_y7 sigma_yy sigma_zz top_react_x top_react_y x_disp cont_press'
    execute_vector_postprocessors_on = timestep_end
  [../]
  [./outfile]
    type = CSV
    delimiter = ' '
    execute_vector_postprocessors_on = none
  [../]
[]

[Contact]
  [./leftright]
    secondary = 3
    primary = 4
    normalize_penalty = true
    tangential_tolerance = 1e-3
    penalty = 1e+9
    al_penetration_tolerance = 1e-8
  [../]
[]

(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/contact/test/tests/verification/patch_tests/brick_2/brick2_aug.i)

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

[Mesh]
  file = brick2_mesh.e
[]

[Problem]
  type = AugmentedLagrangianContactProblem
  extra_tag_vectors = 'ref'
  reference_vector = 'ref'
  maximum_lagrangian_update_iterations = 100
[]

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

[AuxVariables]
  [./stress_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_zz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./penetration]
  [../]
  [./saved_x]
  [../]
  [./saved_y]
  [../]
  [./saved_z]
  [../]
  [./diag_saved_x]
  [../]
  [./diag_saved_y]
  [../]
  [./diag_saved_z]
  [../]
  [./inc_slip_x]
  [../]
  [./inc_slip_y]
  [../]
  [./inc_slip_z]
  [../]
  [./accum_slip_x]
  [../]
  [./accum_slip_y]
  [../]
  [./accum_slip_z]
  [../]
[]

[Kernels]
  [./TensorMechanics]
    use_displaced_mesh = true
    save_in = 'saved_x saved_y saved_z'
    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
  [../]
  [./stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zz
    index_i = 2
    index_j = 2
    execute_on = timestep_end
  [../]
  [./inc_slip_x]
    type = PenetrationAux
    variable = inc_slip_x
    execute_on = timestep_begin
    boundary = 4
    paired_boundary = 3
  [../]
  [./inc_slip_y]
    type = PenetrationAux
    variable = inc_slip_y
    execute_on = timestep_begin
    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
  [../]
[]

[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
  [../]
  [./sigma_yy]
    type = ElementAverageValue
    variable = stress_yy
  [../]
  [./sigma_zz]
    type = ElementAverageValue
    variable = stress_zz
  [../]
  [./disp_x7]
    type = NodalVariableValue
    nodeid = 6
    variable = disp_x
  [../]
  [./disp_x26]
    type = NodalVariableValue
    nodeid = 25
    variable = disp_x
  [../]
  [./disp_y7]
    type = NodalVariableValue
    nodeid = 6
    variable = disp_y
  [../]
  [./disp_y26]
    type = NodalVariableValue
    nodeid = 25
    variable = disp_y
  [../]
  [./_dt]
    type = TimestepSize
  [../]
  [./num_lin_it]
    type = NumLinearIterations
  [../]
  [./num_nonlin_it]
    type = NumNonlinearIterations
  [../]
[]

[BCs]
  [./bot_y]
    type = DirichletBC
    variable = disp_y
    boundary = 1
    value = 0.0
  [../]
  [./side_x]
    type = DirichletBC
    variable = disp_x
    boundary = 2
    value = 0.0
  [../]
  [./back_z]
    type = DirichletBC
    variable = disp_z
    boundary = 6
    value = 0.0
  [../]
  [./top_press]
    type = Pressure
    variable = disp_y
    boundary = 5
    factor = 109.89
  [../]
[]

[Materials]
  [./bot_elas_tens]
    type = ComputeIsotropicElasticityTensor
    block = '1'
    youngs_modulus = 1e6
    poissons_ratio = 0.3
  [../]
  [./bot_strain]
    type = ComputeFiniteStrain
    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 = ComputeFiniteStrain
    block = '2'
  [../]
  [./top_stress]
    type = ComputeFiniteStrainElasticStress
    block = '2'
  [../]
[]

[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-9
  nl_rel_tol = 1e-8
  l_max_its = 50
  nl_max_its = 100
  dt = 1.0
  end_time = 1.0
  num_steps = 10
  dtmin = 1.0
  l_tol = 1e-5

[]

[VectorPostprocessors]
  [./x_disp]
    type = NodalValueSampler
    variable = disp_x
    boundary = '1 3 4 5'
    sort_by = id
  [../]
  [./y_disp]
    type = NodalValueSampler
    variable = disp_y
    boundary = '1 3 4 5'
    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 = 'bot_react_x bot_react_y disp_x7 disp_y7 disp_x26 disp_y26 stress_yy stress_zz top_react_x top_react_y x_disp y_disp cont_press'
    execute_vector_postprocessors_on = timestep_end
  [../]
  [./outfile]
    type = CSV
    delimiter = ' '
    execute_vector_postprocessors_on = none
  [../]
[]

[Contact]
  [./leftright]
    secondary = 3
    primary = 4
    tangential_tolerance = 1e-3
    formulation = augmented_lagrange
    normalize_penalty = true
    penalty = 1e8
    model = frictionless
    al_penetration_tolerance = 1e-8
  [../]
[]

Example input syntax
Input Parameters
Input Files